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The Columbia University Libraries reserve the right to refuse to accept a copying order if, in Its judgement, fulfillment of the order would Involve violation of the copyright law. Author: Stanley, Anthony Dumond Title: Tables of numbers Place: New Haven Date: 1 854 [1 846] of COLUMBIA UNIVERSITY LIBRARIES PRESERVATION DIVISION BIBLIOGRAPHIC MICROFORM TARGET MASTER NEGATIVE # f ORIGINAL MATERIAL AS FILMED - EXISTING BIBLIOGRAPHIC RECORD 481 " St2 UMihl**MlWa Stanley, Anthony D[Umond] 1810-1853. Tables of logarithms of numbers, and of logarithmic smes, tangents and secants, to seven places of decimals • together with other tables of frequent use in the study of mathematics, and in practical calculations. By Anthony D. Stanley ... New Haven, Durrie and Peck, F8it9J.854 64 p., 1 1., 340 p. 23-. 1. Logarithms. '■ Library of Congress 4-25628t QA65.878 RESTRICTIONS ON USE: TECHNICAL MICROFORM DATA RLM SIZE: S6 nrw^ REDUCTION RATIO: 1::^ IMAGE PLACEMENT: lA HA IB IIB DATE FILMED: l\-:^2-^M TRACKING # : /K>5H INITIALS: wV o^^^(^ FILMED BY PRESERVATION RESOURCES, BETHLEHEM. PA. ■ \ %f^ 3 or ^. m 3 I C Q CJl ^-< OOM o FJlit CJl ■3. o m O ~T\ (D y/ CfQ l\3' X N ^, ^, ■S'^ji.^ '^i* V III o 3 3 .'V*^ > III ^.:^.^ ^ 8 3 3 O pF|5|S|?|?|5|-|- o C30 b 10 io I bo to In 1.0 mm 1.5 mm 2.0 mm ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefgtiijklmtwpqrstuvwxyz 1234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyzl234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 1234567890 Mo ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz 2.5 mm 1234567890 t^^ ♦V- ^ -^ f^ ^A> -iu -/'<*> ^^. ■^. ■^. # ^'%^ ^/^f^ €^ 4^ '4^ q o "o m Tj an •* _. PnV ^iHi HHB > C o> I "O ^ 7^ O 00 m > 30 Q m ^^. ^ O "i^f^ ^;^ .^v en 3 3 MP' IS si So •►— «^ ■•kS CB'Mi '^3 ll f o si 2iM ^j m-i> '3 m^ n5i^ ^t Cobnnlria (BnttimfQ) LIBRARY School of Business ! f II \ n I TABLES 07 LOGAEITHMS OF NUMBERS, AND OF LOGARITHMIC SINES, TANGENTS AND SECANTS, TO SEVEN PLACES OP DECIMALS; TOGETHER WITH OTHER TABLES OF FREQUENT USE IN THE STUDY OF MATHEMATICS, AND IN PRACTICAL CALCULATIONS. BT ANTHONY D. STANLEY, A. M. PiofeMor of Mathematics in Yale College. NEW HAVEN: DURRIE & PECK. PRINT E I> . B,Y, B . I,.. -HjA BX L £ N^ ; Printe'rto'YaleCMle'^e' "\ : /' 1854 • •• .»• •■•■■.. (1 •-»•• 1 * ••-•••• •'- >§•••-.• • I. • • t • • t t '•. • • • • • • • • * • • k • c'l' ■ jf"""*"'! If ■*., '■ '"' -'") Entered, according to Act of Congresi, in the year 1846, by AifTHOHT D. Stanley, in tlie Clerk's office of tiie District Court of Connecticut. ■"nil Coinposition and Presswork by B. L. HAMLEN, New Haven. Stereotypetl by mCHAED H. HOBBe, Ijlartibr^. * * '•.•: ; PR£iFAC£. 1 t i.i.: The following collection of tables has been prepared, chiefly with a view to meet the wants of college students. Tables of much less extent would perhaps be regarded by many as suffi- cient for this purpose : and such indeed are most of the tables in common use. These smaller tables are doubtless suitable enough for the illustration of principles and rules of calculation ; but from the inaccurate results which they usually give in the solu- tion of problems, they enable the mathematical student who em- ploys them, to see but little of the use of tables to the computer. Tables in which the logarithms of numbers are carried to as many as seven places of decimals are needed for the proper solution of many of the problems to be met with in any common course of mathematics. Indeed logarithms of five or six places of dec- imals are now seldom used in calculations requiring any but the lowest degree of accuracy. In France, at the examinations for admission to the military and naval schools, candidates have for several years been required in their computations to use loga- rithms of seven decimal figures. The tables which are there most generally used are those of Callet. The tables of like ex- tent most commonly employed in England are Hutton's: and those of Vega are most used in Germany. The only similar ta- bles hitherto published in this country are Hassler's: and these have been found so inconvenient from the smallness of the type in which they are printed, that they are much less used than those of Hutton and Callet imported from abroad. The following work is one of sufficient extent to furnish nearly the same aid to computers as is afforded by the tables of Hutton or Callet. In presenting it to the public, our principal concern is to show that proper care has been taken to secure its correct- ness, in carrying it through the press ; as a new work of this kind inaccurately printed would be worse than useless. We therefore state the following particulars. The pages of the tables were first made by the printer to agree i^ery nearly with the copy. Four or five proofs of each were afte^Wards read in connection % . « • • < • * (4) 'iQj in 'Vji 'ffi JL jr% wft PBIiFACE* (6) with different tables, before the work was printed. Two and in sevefal cases three proofs were examined before the page was stereotyped, and two proofs from the plates were examined after- wards. This proof reading was done exclusively by the writer. In comparing the proofs with different tables, the correspondina: columns of figures were in each case placed closely side by side, that the eye might readily detect an/disagreement. An exam: ination of the proofs with the assistance of another in the ordi- nary way, would have inquired much less time : but the other method was preferred as better suited for the detection of errors. The tables employed in correcting the proofs were chiefly those of Tega, Callet, Hiitton, Babbage and Shortrede. Babbage and Callet were most relied on for accuracy. But their tables were not found free from error. It is a common opinion with regard to works which have been stereotyped, that while they are open to correction as errors are discovered in them from time to time, they are also made permanently secure of whatever de- gree of accuracy they once acquire. But in using two copies of Gallet's tables, one of recent and one of earlier date, it was seen that some errors from which the latter was free, had found their way into the former. A notice of several errors observed in the different tables which we have had occasion to examine, may be found in No. 15, 2d Series of the Amer. Jour, of Sci. and Arts. After the following tables were ready for the press, the editor found among the Memoirs of the Astronomical Society of Lon- don an article by Mr. Babbage, in which he mentions six errors that are common to almost all the tables of logarithms he has seen. Prom his own table these errors are of course excluded. And as that had been used in correcting the first proofs of the foUowing table of logarithms, we were furnished with tolerable means of forming an opinion concerning the merits or defects of the first proof reading. On referring to the proofs concerned, it was found that all the errors in question had been noticed and corrected. Our second proofs of the table of logarithms were compared with Shortrede's table. We therefore examined this table with reference to the errors noticed by Babbage ; and in it found five of them. We then referred to a list of nine or ten errors that we had discovered in the same table, and found all of these five among them: which encouraged the belief that not many errors had been overlooked in the second proof reading. As we are informed that Babbage's table was employed in tlie correction of Shortrede's, it seems a little remarkable that all the five errors referred to should have escaped notice. But the general correctness of the latter table need not be therefore dis- trusted, as we may infer from what is stated above, that those errors form a large proportion of all the errors which it contains. Next in importance to the table of logarithms of numbers, is that of logarithmic sines, tangents, &c. Hutton in his table of sines, tangents, «fcc. gives them only at intervals of a minute each, through all except the first two degrees of the quadrant, where sines and tangents are given for every second. The differences of successive sines, tangents, &/C. in some parts of his table are accordingly quite large, and in finding intermediate sines, tan- gents, &c. the process of interpolation is inconveniently long. There is also room for considerable error in this process, unless second differences are taken into account, which would render the work still longer. In Callet 's table, sines and tangents are given at intervals of seconds for the first five degrees, and sines, cosines, tangents and cotangents, at intervals of ten seconds for the whole of the quadrant. His table is therefore much more convenient than Hutton 's. In one respect however it is less con- venient, as it fails to give secants and cosecants, which Hutton does not omit. We have endeavored to combine the main advantages of these two tables in the second table of this collection. In giving se- cants and cosecants, our table agrees with that of Hutton. It differs from his chiefly in giving sines, tangents, &c. at intervals of ten seconds instead of minutes, for the first fifteen degrees. In consequence of this and of a special arrangement for the first two degrees, no error greater than a unit in the last place of deci- mals can happen in any part of the table, from the neglect of second differences in interpolation ; whereas there would have been room for errors thirty-six times as great as this, if the sines, tangents, (fcc. had been given, as in Hutton's table, only to min- utes, after the second degree of the quadrant. There are many cases in which a required result cannot be accurately determined, unless the result be known approximately from some preliminary calculation. This first calculation does not commonly require to be made with much exactness : and if it be logarithmic, it ought to be made with logarithms of less than (6) PmBFACE. seven decimal figures. For convenient use in hasty calculations of this and other kinds, we have added to the larger tables of logarithms and logarithmic sines, tangents, &c. smaller tables of logarithms, antilogarithms, logarithmic sines, tangents, &c. car- ried only to five places of decimals. Before we determined to embrace these tables -in the collection to be made, we had intended that the two leading tables should be followed by a variety of smaller ones, useful in navigation, surveying, gestioD of Briggs a contemporary of Napier, the system in which 10 is the base was early substituted for the other and has ever since been the one in common uso. t Indeed the logarithms of such numbera are not capable of being expressed in fractions mhh perfect madness; but they can be assigned with any lower degree of accuracy, and especially with all the accuracy thai is requisite for practical ■ w i im ii an i i iiiii i iiiiiiiii M ii LOGARITHMS. (11) The logarithm of 587 is therefore very nearly 2.7686381. We might assign a number still nearer the true logarithm by pro- ceeding to eight or more decimals; but for ordinary purposes it is sufficient to know the logarithm of a number accurately to the seventh decimal place. Accordingly 2.7686381 may in prac- tice be regarded as. the logarithm of 587. 4. Again the logarithm of 0.0357 is between -1 and -2, be- cause 0.0357 is less than 0.1 that is 10"', and greater than 0.01 that is 10- =» ; and by due calculation it has been found that the logarithm of 0.0357 differs but little from - 1.4473318. The logarithm as thus expressed consists of a negative whole number - 1 and a negative decimal -.4473318. There are rea- sons for avoiding the use of negative decimals in logarithms, which is done by substituting for them such equivalent expressions that each negative logarithm may be made to consist of a positive .decimal and a negative whole number. Thus in the example be- fore us, instead of -.4473318 is substituted the equivalent ex- pression -l-f. 5526682: the whole logarithm thus becomes -2 +.5526682, consisting of a negative integer -2 and a posi- tive decimal -f-. 5526682. To represent a logarithm which is thus composed of a negative integer and a positive decimal, the decimal without its sign + is placed immediately after the integer, and the sign — placed over the latter. Thus the logarithm of 0.0357 is 2.5526682, which is to be understood as equivalent to the expression -2 +.5526682. 5. The integral parts of the logarithms of 587 and 0.0357, viz. 2 and — 2, were easy to be determined ; the logarithm of 587 being obviously more than 2 and less than 3, and the loga- rithm of 0.0357 being between — 1 and —2. Likewise in every case the integral part of a logarithm may be readily assigned. To distinguish the integral from the decimal part, the former is called the itidex or more commonly the characteiistic of the loga- rithm, and the latter the mantissa. Thus 2 is the characteristic of the logarithm of 587, and .7686381 the mantissa; —2 is the char- acteristic of the logarithm of 0.0357, and .5526682 the mantissa. 6. The general rule to determine the characteristic of a loga- rithm is as follows. If the number whose logarithm is in question consists of one or more integral figures with or without a decimal annexed, the (13) INTRODUCTION. '! f characteristic of the logarithm is one less than the number of the inte^ai figures. Thus the characteristic of the logarithm of 504.27 is 2, as the integral iigures viz. 504 are three in number. And the char- acteristic of the logarithm of 2.036 is 0, because the number 2.036 has one integral figure. But if the number be onhj a decimal fraction^ the character- istic of its logaritlun is negative, and is greater hj one than the number of ciphers at the beginning of the decimal. Thus if the nimaber concerned be the decimal .087, the char- acteristic of its logarithm is -2 or as it should be stated 2 ; and if the number be .275, the characteristic of its logarithm is 1. 7. In proof of these statements it may be observed that the least number having n integral figures is 10^" • ; the least num- ber having 3 integral figures for example being 10» or 100, the least having 4 such figures being 10 « or 1000, &c. and as there are n integral figures in the number lO"-', the number of such figures in 10" is ?*+L Accordingly if a number has 7i integral figures only, it must be less than 10\ but cannot be less than 10- » , though it may be equal to tliis. Since then every number having ti integral figures is either 10 - ' or between 10"" • and 10 ", its logarithm must be either n-lot between m - 1 and w, that is, must be either »^1 orn- 1+ a decimal; the characteristic therefore is h - 1 ; that is, the characteristic of the logarithm of a number having integral figures, is one less than the number of integral figures j as is stated in the first part of the rule given above. Again, the least decimal number beginning with n ciphers is 1 j|p:7 ; the least decimal beginning Avith one cipher for example . ,., ^^ 1 being .01 or jgji the least beginning with two ciphers being 1 I .001 or jpj &c. and as j^jprr is a decimal beginning with n 1 ciphers, j^ is a decimal beginning with n - 1 ciphers. Accord- ingly, if a decimal begins with n ciphers, it must be less than Ijpj but cannot be less than j;^^-» though it may be equal to this- Since then every decimal beginning with n ciphers is either LOGARITHMS. (13) I 1 1 ~- thatisl0-^"+'\ or between |-^-qrr and j^y. that is between 10-^"+'^ and 10"", its logarithm must either be -(n + 1) or be between -(n+1) and -w, that is, must be either -(w + 1) or ^{n-^l)^ a decimal] the characteristic therefore is -{n-\-l)\ so that the characteristic of the logarithm of a decimal is negative, and is one greater than the number of ciphers at the begmnmg of the decimal ; as is stated in the second part of the foregoing rule. 8. When the characteristic of a logarithm is negative, it is often for convenience, made positive by the addition of 10; which can lead to no error, if it be kept in mind that such a change has taken place, and due care be taken to malce allowance for it afterwards, at a proper time.^ Thus instead of the logarithms 1.8272047, 4.0260108, we may write 9.8272047, 6.0260108. 9. Since we have a rule by which we can readily find the characteristic of the commoji logarithm of any proposed number, tables are needed only to furnish the mantissas of logarithms. These mantissas have been calculated and arranged in tables to such an extent as has been found convenient for practical pur- poses. It is unnecessary here to describe the manner of com- puting them ; it will be sufficient to show how they are arranged for use in the following tables. In describing these tables how- ever, it is necessary to refer to certain properties of logarithms which will now be stated. 10. If Z>, M, N, (^c. be several numbers, and /, m, n, <^c. their logarithms in a system of which the base is 6, the logarithm of LMN (^c. is equal to Z+m + n4-(^c. For from the nature of logarithms, (Art. 1) L = 6', M—h'^y N=b% 6rc. hence LMN 6rc. =ft'6'"6%5-c. = 6'+"'+"+4'c.: but if LMNS^c. is the (/-i-w+w-hc^c.)th power of 6, ;+w+n4-*^. is the logarithm of LMNS^c. as was asserted. Therefore the logarithm of the product of several numbers equals the sum of the logarithms of the numbers. 11. Again, if M and N be two numbers whose logarithms are m and n, the logarithm of M-^N equals m-n. For as M= 6"' and N=b\ M^N= b^-^b^ = b—\ Therefore the logarithm of the quotient of one number divided hy another is equal to the logarithm of the dividend diminished by that of the divisor. / i " (14) IITTBOOUCTIOIV. fi' 12. .^, if Af is a number whose logarithm is m, the loga- niiim of M* IS mn. ° » , • , \ " J f>uiit M 18 the mnth power of the base bj mn is the logarithm of M\ T/ierefore the logarithm of ant^ power of a number is obtained % multtplptng the logarithm of thai number into the number aenotttig the pmcer. 13. Fmalljr, iiMm^ number whose logarithm is m, the log- J. «n ® arithmof TIf * is-. LOGARITHMS. (16) n I IK For as ilf=&'», M^=b' J^M^tif '!f ', %«nVAm 0/ any roo^ of a number is obtained the^T^ "'''"^^'^ ""-^^^^ ''"^^^ ^ ^^' ^"^*^'' ^^^''^^■^^ 14. The following definition will prepare the way for one or two mferences to be drawn from these principles. ufZt-^T^u ^""' ""^ ^ ""'"^^^ ^^^ ^^^^ ^hich remain after re ectmg all ciphers that occur either at the end or at the hegtnnmg of the number. Thus the significant figures of 8021700 are 8U217: those of the decimal .00010408 are 10408. 15. If two different numbers have the same signijicafit fl^ires occo-mg m the same order, their logarithms will have differen; characteristics, but the same mantissa. For two such numbers may be made alike, by merely re- rrid t'"'^ "T '" ^"^ ^^ ^^^™ ^^ 'h« -ght or left, and as changmg the position of the decimal point is equivalent to multiplying or dividing by 10, 100, 1000 L the greater number must be equal to the smaller one multi^ plied by some exact power of 10, which we will denote by W n being a whole number; then (Art. 10) the logarithm of the gmater number must be equal to the logarithm of the smaller number increased by the logarithm of 10^ which is n. Now by adding the integer n to the smaller logarithm to obtain the eZrid ^%t"\ '^' f ^^^^"^^i^' b"^ leave the mantissa un- clianged. The logarithms of the two numbers therefore have of 1^^A'^9I^'^""*^*'' characteristics. Thus the logarithm 01 lUW.Uh is 2+ a deamul, and that of 1080600 is 6+ the same 4mmd, because 1080600=108.06x10* j also the logarithm of .00203 is -34- a decimal, while that of 20.3 is 1+ the same decimal jr first figure of .897 second third u u it u Logarithm of .14031897 To find ike logarithm of 20.2147839. Logarithm of 20214 Addition for first figure of .784 • *' second " third Logarithm of 20.2147839 a tt .9390939 40 3 0.2 5.9396982 .1470886 248 27.9 2.2 1.1471164 .3056523 149.8 17.1 .9 1.3056691^ To find the number answering to a given logarithm, 31. First suppose the characteristic of the logarithm to be 4j the number sought will then have five integral figures. The first three figures of the given mantissa are to be found in a col- umn headed 0, and the other four are to be looked for in the same column or in one of the nirje following columns ; and if they are there, the number sought will consist only of five in- tegial figures, the last of which will be found over the four final TABLE OF LOGARITHMS. (23) figures of the mantissa, at the head of the column, and the other four will be found opposite the same final figures, in the column on the left headed Nam. ; supposing the vacant places of that column to be filled with their appropriate figures. Thus the number answering to the logarithm 4.3321758 is obtained by turning to a part of the table where the leading decimal figures of the logarithm are 332, as in page 23 • we find there a mantissa exactly equal to the given one viz. 3321758, and supplying 4 the omitted characteristic of the table, we have the given logarithm 4.3321758 ; the number answering to which is 21487. In like manner the numbers answering to the logarithms 4.5274108, 4.8430022, 4.5270883, 4.7869643, will be found to be 33683, 69663, 33658, 61230. But if the given logarithm is not to be found in the table, falling between two consecutive logarithms found there, then the five integral figures of the number answering to the least of these logarithms, taken from the table as in the preceding case, will form the integral part of the required number ; to which is to be annexed a decimal correction, for the excess of the given loga- rithm above the tabular one that answers to the five integral fig- ures. The correction is found by dividing the difference of the given logarithm and the tabular logarithm next below it, by the difference between the two tabular logarithms next above and next below it. This correction depends upon a comparison of the given loga- rithm with the two in the tables between which it falls, and is derived from the following proportion, which though not strictly accurate is nearly so. The difference between the tabular logarithms, is to the differ- ence of the corresponding numbers which is 1, as the difference between the least of these logarithms and the given one, to the difference of their corresponding numbers. As the third term is less than the first, the fourth will be less than the second, that is less than 1. This term, which is found by dividing the third term by the first, when annexed as a deci- mal to the five integral figures corresponding to the least of the two tabular logarithms, will give the number sought. Thus, if we seek the number whose logarithm is 4.7875397, this loga- rithm not being in the table, we find there two consecutive man- tissas .7875384, .7875455, that with the addition of the omitted !4 i' IS li (24) INTRODBCTION. characteristic 4 form two logarithms, of which one is greater and the other less than the given one ; the number answering to the least of these is 61311, which is the integral part of the required number ; to find the decimal part, we divide the difference be- tween 397 and 384, by the difference between 455 and 384 ; the quotient viz. {f or .183 nearly, added to 61311 gives 61311.183 for the number sought. 32. In converting jf to a decimal fraction by the common method, we annex a cipher to 13, and for the first decimal figure take the number which multiplied by 71 will equal 130 or fall just below it ; then after subtracting the product from 130 and annexing a cipher to the remainder, we proceed in the same way to find a second decimal figure, and so* on. Now this process may be shortened, by aid of the table of dif- feremces and mMlHples : for in that we find the difference 71 to- gether with its multiples by all the digits 2, 3, ... 9 ; having then annexed a cipher to 13, we see by glancing at these multi- pies, which one equals or falls next below 130 ; the digit oppo- site this is the first decimal figure sought ; we then subtract this multiple from 130, and after adding a cipher as before, look again for the next lower multiple, opposite which is the second dec- imal figure sought ; and so on. Should any remainder, after having a cipher annexed, fall be- low the difference 71 itself, the decimal figure sought will be 0, and we may proceed immediately to find the next, by annexing an additional cipher to the remainder, 33. If instead of annexing ciphers to the remainders and sub- tracting the entire multiples, we leave the remainders unaltered and divide the multiples by 10, 100, 1000, &c. we shall obtain the same or very nearly the same result. It will be best, however, not to do this till after the first decimal figure is obtained. Thus in the preceding example, after obtaining the first decimal figure 1 and subtracting the corresponding number 71 from 130, we may seek the multiple which divided by 10 or with the omis- sion of its last figure, shall equal or just fall below the remainder 69 ; this we shall find to be 568, opposite which is the digit 8, the second decimal figure sought : 668 divided by 10 is 56.8 or nearly 57; this taken from sl lives 2 : we Jnow to look for the multiple which divided by 100 shall differ least from 2 ; this is 213, opposite which is the number 3, the third decimal fgiue sought TABLE 0¥ LOCABITHMS. (2S) In like manner let the numbers answering to the logarithms 4.8111890 and 4.1610157 be found: they are 64742.433 and 14488 243. 34. We have thus far supposed the characteristic of the given logarithm to be 4. But if the logarithm have a different characteristic, we must seek the corresponding number as if the characteristic were 4, and instead of so placing the decimal point that the number shall have five integral figures, give it the position required by the true characteristic of the logarithm according to the rule in Art. 6 : for if two logarithms differ only in their characteristics, the num- bers answering to them will have the same significant figures, and will differ only as to the positions of their decimal points. Thus to find the number whose logarithm is 3.9595809, look for it as if the characteristic of the logarithm were 4 ; but instead of placing the decimal point after the fifth figure, place it after the fourth, so that the number of integral figures may be one greater than the characteristic 3. The number so obtained will be 9111.3124. In like manner shall we find that the numbers answering to the logarithms 1.6360175, 2.7583012, are .43253129, .057319343, respectively. 35. We have then this general rule for finding the niunber answering to a given logarithm. If the mantissa of the logarithm is to be found in the table, look opposite it in the column headed Num. on the left, for the first four figures of the number sought, and over it for the fifth figure. Then determine the place of the decimal point from the characteristic of the logarithm, according to the rule in Art. 6 ; annexing or prefixing ciphers, if necessary. But if the mantissa of the logarithm proposed is not to be foimd in the table, take the one next below it ; opposite this will be found the first four figures of the required number, and over it the fifth: then to find a few additional figures, (not more than three,) take the difference between the mantissa of the given log- arithm and the mantissa next below it in the table, and also the difference between the latter and the next greater one in the ta- ble ; look under the heading Diff. ^ Mult, for the latter differ- ence, and from it with its eight multiples given there, select the number which is either equal to the former difference multiplied ill ti t (26) INTRODUCTION. It M by 10 or just below it ; opposite this number will be found the sixth figure sought; subtract the number from the difference thus multiplied, and look for the largest multiple which divided by 10 gives a quotient less than the remainder or equal to it ; opposite this multiple will be the seventh figure of the required number ; find the diiference of the quotient and remainder, and look opposite the multiple which divided by 100 comes nearest this difference, for the eighth figure. 36. A few examples are subjoined in illustration of the rule. To find the number whose logarithm is 6.8110210. First five figures of number sought 64717 whose logarithm ends with 184. First additional figure for diff. of 210 and 184 3 found opposite the multiplier 201. Second additional figure for diff. of 260 and 201 8 opposite which is 536. Thirdadditionalfigurefordiff.of 59and53.6 or 54 ..... 7. Eight figures of the number then are 64717387 j and the number itself is 6471738.7, having seven integral figures, because 6 is the characteristic of the logarithm. To find the number whose logarithm is 3.4172019. First Ave figures of number sought 26133 First figure of correction for diff. 126 7 opposite Ihich is 1162. Correction for diff. of 1162 and 1260 . 5 opposite which is 830. Correction for diff. of 98 and 83 . . 9. Then as the given characteristic is 3, the required number is .0026133759. The numbers answering to the logarithms 2.7865943, 0.0294236, 2.4220180, 8.7230263, are in like manner found to be 611.7786, 1.070098, .026425183, 528477320. TABLE OF LOGARITHMIC SINES, &C. (27) Table of Logarithmic Sines, Tangents, &c. pp. 155-277. 37. This is a table of the logarithms of sines, tangents, se- cants, cosines, cotangents and cosecants, carried to seven places of decimals. These logarithms are called logarithmic or artificial sines, tangents, &c. to distinguish them from the sines, tangents, &c. themselves, which are called natural sines, tangents, &c. The natural sines, tangents, &c. are some of them greater and others less than unity. Their logarithms must accordingly have characteristics of which some are positive and some negative. In order to render these all positive, it has been found convenient to increase each one by 10 : no error can result from this if we always bear in mind that they have been thus altered. The first two pages viz. 156 and 157, being of a different character from the rest, and indeed not a necessary part of the table, may be here left out of view, to be subsequently described. For the first 90 pages, that is from page 158 to page 247, the sines, tangents, &c. are given at intervals of 10 seconds ; for the remainder of the table, at intervals of one minute. At the top and bottom of each page are numbers in heavy type, denoting degrees ; next, in an abbreviated form, are the titles of the columns of num- bers of which the body of the page is composed ; in the right and left hand columns are numbers denoting minutes and tens of seconds for the first 90 pages, and minutes only for the remain- ing pages : in the former case, the minutes are printed in heavier type 'and with the mark ', to distinguish them from the numbers 10, 20, 30, 40, 50 denoting tens of secoiids. To find the sine, tangent, (^c. of a given arc, 38. The following is the rule for finding the sine, tangent, &,c. of a given number of degrees and minutes, from 0° to 180°. Look for the degrees at the top or bottom of the page, and in the column at the side of the page under or over the degrees thus found look for the minutes : then if the degrees are at the top, look for the name of the required number at the top, other- wise at the bottom of the page ; in the column under or over this name, and opposite the minutes already found, will be the number sought. Thus to find from the table the sine of 18° 20', we first look for 18° which we find at the top of the 251st page, and in the col- If 11 I I il f ^i III H fiS) INTROroUCTION. ttmn under tliis at the side of the page we look for 20' : we then look for the name of the required number viz. sincj at the top of the page, because 18^ is there; and in the column under the name mm and opposite the 20 minutes, we find the required number which is 9.4976824; the omitted characteristic 9. being mpplied. The characteristic when omitted is always to be supplied as In like manner it will be found that the cotangent of 126° 44' is 9.8729032, the secant of 89° 2' is 11.7728665, and the cosine of 1750 47' is 9.9988228. If there are tens of seconds in addition to the given number of degrees and minutes, and the degrees are found on one of the first 90 pages, then by a similar method to the one just stated, we may find the sine, tangent, &>c. of this number of degrees, minutes and seconds. We are to look for the degrees and min- utes as before, and then finding the seconds between the given number of minutes and the next greater number of minutes, look opposite them for the number sought. Thus the cosine of 140 5. 40// is 9.9867250, the omitted figures 9.986, being sup- plied; and the tangent of 100*^ 37' 20" is 10.7268913. ' 39. In all other cases the given number of degrees, minutes and seconds will not be found exactly in the table ; but the given number of degrees and minutes, and frequently the even tens of seconds also, will be found there, with the corresponding sine, tangent, &/C. and next to this sine, tangent, &c. will be found the sine, tangent, 6cc. for one minute or as the case may be for 10 seconds more ; and the required sine, tangent, &c. will fall between the latter and the former : to obtain it, take from the table the former sine, tangent, &,c. viz. that which belongs to the given number of degrees and minutes, or degrees, minutes, and even tens of seconds; and for the additional seconds prepare a correction, by multiplying them into the number that is found in the nearest column headed diff. 1'', opposite the place where the number sought would fall if inserted in the table : then if the tabular number to be corrected is the least of the two consecu- tive ones between which the required number falls, the correction thus obtained is to be added to it ; but if it be the greatest, the correction is to be subtracted from it. Thus to find the tangent of 19° 27' 45".4, take from the table tlie tangent of 19° 27' which is 9.5479430. and for the seconds TABLE OF LOGARITHMIC SINES, &C. (29) 46".4 obtain a correction by multiplying 45.4 into 67.03 the number found in the nearest column headed dif. 1" opposite the place where the required tangent would fall if inserted in the table ; for it would fall between the tangents of 19° 27' and 19° 28'. The correction thus obtained is 3043.162 or 3043 if the fraction .162 be neglected. Then as the tangent of 19° 27' is less than that of 19° 28', the tangent sought is 9.5479430+3043 or 9.5482473, the correction being applied to the decimal part of the tabular number, as it should always be. • 40. In explanation of the preceding rule, it may be observed that as the sines, tangents, &c. in the table, for the first 90 pages, are given at intervals of 10 seconds, the difference between any two consecutive ones is a difference for 10 seconds ; and the part of this difference due to each of the 10 seconds would be a tenth of it, if the differences were the same for all intervals of the same number of seconds : though this is not strictly true to any extent, yet if we regard it as true for an extent only of 60 seconds or less, the resulting error in most cases will be extremely small. Ac- cordingly, in the first 90 pages of the table, one tenth of each dif- ference between two consecutive numbers is given, with the im- plied assumption that it would be the difference of consecutive sines, tangents, &c. for intervals of 1" each, near the place where it occurs. And in the latter part of the table, where the intervals are a minute each, the differences given for 1" are the numbers which result from dividing the differences of the consecutive sines, tangents, &c. by 60. Having thus the variations of sines, tangents, &c. given for intervals of 1", we can readily find by multiplication the varia- tions for any small number of seconds, and thus from a tabular sine, tangent, &c. near the required one, obtain the required one itself, by applying to the former a correction for the number of seconds' interval between the two. The number of seconds for which a correction is required will always be less than 60. • 41. It will be seen that each column of differences is made to answer for the two columns of tabular numbers on each side of it ; one for sines and cosecants, another for tangents and cotan- gents, and a third for secants and cosines. The reason of this will be obvious if we consider that the natural sine of an angle multipUed by the cosecant of the same angle, equals the square 3* •f I r (30) INTHODUCTIOlf. of the radius or unity ; that the logarithm of the sine added to the logarithm of the cosecant accordingly equals which is the logarithm of unity; and. if 10 be added to the logarithmic sine aod cosecant severally, their sum will become 20. The sum of the numbers given in the table for the sine and cosecant of the same angle, should then be 20 in every case j and if in passing through an interval of 1" or any number of seconds, the sine in- creases by a certain amount, the cosecant must, for the same in^ tervaliof variation, decrease by the same amount. The corres- ponding sines and cosecants therefore vary by equal differences, but in opposite ways. The same may be said of tangents and cotangents, and also of aecants and cosines. 42. In finding a correction to be applied to a tabular number, we may perform the required multiplication in an abbreviated way! Let the figures of the multiplier be taken in an inverted order, and let the unit figure be put under the place of tetiths in the multiplicand ; then if each figure of the multiplier be multiplied into the figure above it and into all the preceding figures of the multiplicand, the following ones being neglected, we shall have several partial products, in each of which the last figure belongs to the place of tenths, and the sum of which, if we neglect the final figure, will be the whole correction sought. For example, if the difference for V' taken from the table is 07.91, and the number of seconds for which the correction is to be made, 17".32, the method of procedure is as follows. 67.91 23 71 679.1 475.3 20.1 1.2 1175.7 The correction therefore if we take the nearest whole num- ber is 1176. Instead of wholly neglecting portions of the multiplicand in the manner specified above, it will be better to regard them so far as is necessary to see what number must be carried from each to make the right hand figure of every partial product as correct as may be. / TABLE OF LOGARITHMIC SINES, &C, (31) This method of multiplication may be applied to the preceding example thus, 67.91 23 71 679.1 475.4 20.4 1.4 1176.3 The integral result viz. 1176, does not differ from that before obtained : but in some cases one or two units would be gained in accuracy by the change in question. 43. Two or three examples may now be given, in fiirther il- lustration of what may be deemed the best method of using the table of sines, tangents, &c. To find the cosine of 123° 11' 26''.7. cos. 123° 11'= 9.7382412, diff. 1"=32.18, to be multiplied as below by 26.7. 32.18 7 62 643.6 193.1 22.5 859.2 The resulting correction 859, added to the above tabular number, gives 9.7383271 for the required cosine. To find the cosecant of 79° 14' 17".3. cosec. 79° 14' 10"= 10.0077094, diff. 1"=4.0, which multiplied by 7.3 gives the correction 29. This taken from the tabular number to be corrected, leaves 10.0077065 for the cosecant sought. To find the tangent of 168° 36' 47".S. tang. 168° 36'lo"= 9.3041318, diff. 1"= 108.7, 108.7 87 ^ 1 1 y 760.9 87.0 847\9 'I (31) IKTHODUCTION. Sabtracting the correction 848, we obtain 9.3040470 for tlie tan- gent sought. Tg find the arc answerifig to a given sine, tangent, ies, tangents, cotangents and cosecants, to every minute of two degrees : the columns headed sec. and cos. contain the corresponding secants and cosines ; of these however, all the igures except the last four are in each case to be found at the head or at the foot of the column. The left hand column of page 156 presents the number of seconds in each number of min- utes opposite it in the next column. And in the left hand co- lumn of page 157, is given the number of seconds for every num- ber of minutes from 1^ or 60' to 2° or 120'. Under the heading ^-nare two columns of numbers, each consisting of four figures that are to be preceded by the figiures 4.685 which stand above and below these columns. Each num- ber in the first of these two columns is the excess of a logarithmic s,ne opposite and adjacent to it, above the logarithm of the oppo- site number of seconds at the side of the page on the left ; and each number in the other column is the excess of the opposite and adjacent logarithmic tangent, above the logarithm of the opposite number of seconds. Thus 4.6855747 is the excess of 7.1626960 over the logarithm of 300 which is 2.4771213 ; and 4.6855788 is the excess of 7.7190026 over the logaritlmi of 1080 which is 3.0334238. The numbers in the columns under the heading f + », are such as result from adding to each cotangent and cose- cant in the adjacent columns, the logarithm of the opposite num- ber of seconds. Thus 15.3144197 is the sum of 12.2140492 and TABLE OF LOGARITHMIC SINESj &C (37) the logarithm of 1260 which is 3.1003705; and 15.3144398 is the sum of 11.8460925 and the logarithm of 2940 which is 3.4683473. 51. If the sines in the column headed sin. were not given, they might be found from the numbers in the next column. For if q be put for the sine of any number of minutes less than 120' or 2° and n for the logarithm of the corresponding number of seconds, the value o( q-n will be given by the table ; which value in- creased by n will be the value of q the required sine. If for example the sine of 1° 23' be required, we shall find by looking in the first of the columns headed q-n on page 157, that «/-w =4.6855327: therefore ^ =4.6855327+ w; but the loga- rithm of 4980 the number of seconds in 1° 23' is 3.6972293 : hence 9^ = 8.3827620, the sine required. In a corresponding manner may tangents, cotangents and cose- cants be found. To find for example the cosecant of 0° 37', we obtain from the table the equation 9+71 = 15.3144335, whence q = 15.3144335 ~ n ; and as the number of seconds in 37' is 2220 whose logarithm is 3.3463530, ^=11.9680805. 52. The numbers in the columns headed q-n and q-}-n, are given only at intervals of 1' or 60" ; but they vary so slowly and regularly, that we may by a simple proportion find the correspond- ing numbers for intervening points with facility and accuracy. To find for instance in the first of these columns the number belonging to 0° 40' 37", we observe that its last four figures must be less than 5651 but greater than 5646 : the difference of these two numbers viz. 5 being a variation for an interval of 1' or 60", the part of this variation for 37" may be found by the proportion 60 : 37 : : 5 : r= VV =3 nearly. The last four figures of the re- quired number are therefore 5648; and the number itself is 4.6855648. In like manner may we find the number that be- longs, in either of the four columns headed q-71 and q-hn, to any number of degrees, miuutes and seconds from 0^ to 2°. 53. If the numbers thus found by interpolation be increased or as may be necessary diminished in each case by the logarithm of the corresponding number of seconds, the corresponding sines, tan- gents, cotangents and cosecants will be obtained. Let it be required for example to find the sine of 1° 3' 41 ".79. By inspecting the column headed sin. on page 157, we shall find that the required sine is between 8.2630424 and 8.2698810. But to obtain it ac- » I i fl« INTmOBUCTION. cumtely by interpolation in this column would be inconvenient, as the differences of the numbers there are large and vary rapidly. If however, we put ^ for the required sine and n for the loga- rithm of the eorrespooding number of seconds, we can easily obtain the value of f -« from the proper column headed q-n: this value is 4.6855500 ; the correction for 41".79 being nearly 6, which has to be taken from 5506. Now the number of seconds opposite 1° 3' in the table is 3780, which increased by 4179 becomes 3821.79 whose logarithm we shall find to be 3.5822669; this is the value of n, and since ^-w=4,6855500, ^=8.2678169, which is the sine required. Again, to find the cotangent of 0° 57' 34".46. ^-}-w = 15.3143845 n= 3.5383802 /. q =11.7760043, the cotangent sought. 64. In like manner may these two pages be used, when the number of degrees, instead of being 0° or 1°, is 88°, 89°, 90°, 91°, 178° or 179°. But if the number of degrees be found at the bottom of the page, the title of the quantity sought must be looked for there also ; and if the number of degrees is on the right hand, the number of minutes must be found in the right hand column ; and in this case, the opposite number of seconds in the left liand column diminished by the given number of seconds, is that whose logarithm n is intended to represent. Let it be required to find the tangent of 88° 21' 37".5. As 88° is at the bottom of the page and on the right hand, we are to look for the title tan. at the bottom, and for 21 the number of minutes, in the right hand column ; opposite this number in the first column on the other side of the page will be found 5940, for the number of seconds to be diminished by 37.5 the given number of seconds ; the logarithm of the remainder 5902.5 is 3.7710360, which is the value of n. Opposite 21' and 22', and over the title f +m, in the column next to the column of tangents, are to be found the numbers 3051 and 3075 ; the proper intermediate num- ber for 21'37".5 is 3066. Therefore y+w= 15.3143066; and hence ^=11,5432706, the tangent sought. Again, to find the cosine of 91° 27' 43".7. f -11=4.6855277 log. 5263.7 = n=3.7212911 .-. q =8.4068188, the required cosine. TABLE OF LOGARITHMIC SINES, &C. To find the cosecant of 179° 19' 52".25. ^-f-yfc=15.3144350 = n= 3.3816114 (39) log. 2407.75 .*. q =11.9328236, the cosecant sought. 55. The columns having the titles sec. cos. at the top, and cosec. sin, at the bottom, may be used for finding sines, cosines, secants and cosecants, in the ordinary way. To obtain for example the cosine of 1° 17' 25".5. In the column headed cos. and opposite the 17' which stands under 1°, will be found the number 8911 ; and opposite 18', the number 8882 ; the proper intermediate number for 17' 25".5 is 8899, in which we have the last four figures of the required co- sine ; the preceding figures are 9.999, as found at the top or bot- tom of the column concerned. The complete cosine therefore is 9.9998899.. Thus also the cosecant of 90° 55' 47".5 may be found to be 10.0000572. Instead of the columns here referred to however, it is best to use the corresponding ones, in the twelve subsequent pages. 56. The 156th and 157th pages are likewise to be used, when with a given sine, tangent, &c. that falls within the limits of these pages, it is required to determine accurately the number of degrees, minutes and seconds to which it belongs. In era- ploying them for this purpose, we have first to find the two con- secutive sines, tangents, &c. between which the given one falls, and the corre^onding values of q—n ox q-{-n. We may then determine by interpolation the value oi q — n or q-\-n as the case may be, for the given sine, tangent, &c. itself; which last quantity is represented by q. If q be diminished by q-n or taken from q+n, the remainder will be n the logarithm of a number of seconds, from which the number itself is to be found, and thence the required number of degrees, minutes and seconds. . Let it be required to find the degrees, minutes and seconds be- longing to the tangent 8.2743291. This falls between the tan- gents of 1° 4' and 1° 5' opposite which in the preceding column under the heading q — n are the numbers 6250 and 6266; the intermediate number corresponding to the given tangent, will be found by ordinary interpolation to be 6260 ; the complete value of g-n is accordingly 4.6856260. Taking this from q that is 8.2743291, we find for the value of w, 3.5887031 which is the. Ill I i I INTRODUCTION. * logarithm of the number 3878.851. The number next less than this in the column of seconds is 3840, to which corresponds 1^ 4'. The required number of degrees, minutes and seconds is therefore 1° 4' 38".851. Or if we take the number of degrees found on the right hand, we must look for the number of minutes in the right hand col- umn, opposite the number of seconds next greater than 3878.851, viz. 3900, and take the difference of 3900 and 3878.851 for the number of the required seconds. In this way we shall obtain 178° 55' 2F'.149 for the number sought ; which is evidently the supplement of the one before obtained. If the title of the given quantity be at the bottom of the page, the required number of degrees is to be found there also. 67. To obtain the value of q - n or q-\-n corresponding to the given sine, tangent, (fcc. we may find approximately by the gen- erai iabk the required number of degrees, minutes and seconds, mud take the value of ^— w or ^4n as the case may be, corres- ponding to the number thus found. The required number of degrees, minutes and seconds in the preceding example, we shall readily find on page 164 to be nearly 1° 4' 40". Then as the numbers in the proper column headed 448 526 3393 4oi 4oa 4o3 404 4o5 4o6 407 408 409 4ii ill 4i3 4i4 4i5 4i6 417 4i8 419 4a 1 433 423 41^ 426 4a7 4a8 4i9 43i 432 433 434 435 436 437 438 439 44i 44a 443 A44 445 446 447 448 449 45 1 453 453 454 455 456 457 458 459 461 463 463 464 465 466 6o3 1 444 6i>4 3361 605 3o5o 606 38r4 6074550 6o8 5a6o 467 468 469 471 472 473 474 475 476 477 478 479 48 1 48a 483 484 485 486 487 488 489 491 493 493 494 495 496 497 498 499 5oi 5oa 5o3 5o4 5o5 5o6 5o7 5o8 509 5ii 5J3 5i3 5i4 5i5 5i6 5i7 5i8 519 531 5a 3 523 524 5a5 526 527 5a8 529 53i 532 533 6693169 670 3459 671 1738 534 535 536 537 538 539 541 54a 543 544 545 546 547 548 549 55i 552 553 554 555 556 557 558 559 56i 562 563 564 565 566 567 568 569 571 573 573 574 575 576 577 578 579 58i 582 583 584 585 586 588 589 592 593 594 595 596 597 598 599 727 54i3 728 3538 729 1648 7399743 730 7823 73i5888 733 1973 733 9993 7347998 7355980 736 3965 737 1926 601 60a 6o3 604 6o5 606 607 608 609 611 6ia 6i3 6i4 6i5 616 617 618 619 621 622 623 62T 635 6a6 627 628 639 63 1 633 633 634 635 636 637 638 639 641 64a 643 644 645 646 647 648 649 65i 652 653 654 655 656 657 658 659 66i 662 663 664 665 666 778 8745 779 5965 7803173 781 o3()9 781 7554 782 4726 783 1887 783 9o36 7846173 786041a 7867514 787 46o5 788 1684 7888751 789 58«.7 790 2b 52 7909885 791 6906 7930916 793 79' »4 7944880 795 1846 795 88tx) 79'i5743_ 797 2675 7979596 798 65i^ 8cxj 0294 8007171 801 4o37 803 0893 803 7737^ 8034571 8o4l394~ 804 8207 805 5009 806 85Ho 807 535o 808 2110 808 8859 809 5597 8102325 8109043 811 5750 8122447 8i3 58io 814 2476 8149133 8155777 8162413 8169038 817 5654 8182259 8188854 820 201 5 820 858o 82i5i35 82a 1681 8a2 8216 823 474a 5a76a99 52891 '67 5301997 673 0309 6739430 674 861 1 675 7783 676(>936 677 6c»70 532 7544 534oa6i 535 2941 609 5944 6106602 61 1 7233 536 5584 5378191 5390761 6i3 84i8 6148972 6159301 6170003 6i8o48i 6190933 6785184 6794a79 68o33S5 540 3295 54 1 5792 54a 8254 ()82 i45i 683 0470 683 9471 737 9873 7387806 7395723 545 3071 54654a7 5477747 630 i36i 621 1763 633 2i4o 684 8454 685 7ii7 6866363 74i i5i6 74 1 9301 7437351 " 549 oo33 55oaa84 55 1 45oo 634 2821 6a5 3ia5 6-j6 3404 627 3659 6a8 3889 629 4096 63<> 4279 63 1 4438 632 4573 687 5290 6884198 6893089 7435098 744 2930 745 0748 745 8552 746634a 7474118 55a 668a 553 8830 5550944 691 o8j5 691 9651 6928469 557 507a 5587086 5599066 693 7269 6946052 6954817 748 9629 749 7363 750 5o84 75 1 2791 752 o484 7528164 753 5831 754 3483 755 I 1 33 7566361 7573960 758 1 546 56i 1014 562 2929 563 481 1 634 4773 635 4837 636 4879 6963564 697 2293 698 i{X)5 6998377 700 7037 701 568o 5646661 5658478 567 oa64 6374897 638 4893 6394865 5693739 570 5429 571 7088 6404814 64i 474i 642 4645 6444386 6454333 646 4o37 702 43o5 703 2914 704 i5o5 572 8716 574o3i3 575 1878 70 5 0080 705 8637 7067178 7589119 7596678 7604325 761 1758 761 9278 76a 6786 5763414 577 49*8 5786392 647 383o 648 3600 6493349 7084209 7092700 710 1174 58o 9250 58ao634 5831988 650 3075 65 1 3780 652 2463 7109631 711 8073 7126497 7134905 7143298 7151674 764 1761 764 9a 3o 765 6686 584 33 1 a 585 4607 5865873 654 1765 655 i384 6560983 7664128 767 1559 7678976 587 71 10 588 8317 5899496 657 0559 658oii4 6589648 7168377 7176705 718 5oJ7 7193313 720 1 593 720 9857 7686381 769 3773 770 1 1 53 771 5875 7723217 773 o547 773 7864 7745170 775 2463 775 9743 7767012 777 4a68 5931768 5932861 5943936 659 916a 6608655 661 8137 595 496a 5965971 597695a 663 7009 6646430 665 58IO 721 8106 722 6339 723 4557 598 7905 5998831 6009739 6665i8o 6674530 6' 8 3859 7350945 7359116 726 727a N. I«fif« Pf. Im%, M. Ijoit. W. lios:. Pf. Tio^. | 117 667 668 669 671 67a 673 674 675 676 677 678 679 681 682 683 684 685 686 687 688 689 691 69a 693 694 695 696 697 698 699 701 702 7o3 704 705 706 707 708 7t>9 711 712 111 714 7'5 716 -^ 718 7'9 721 723 733 724 725 726 727 728 729 73 1 732 733_ LOGARITHMS OF NUMBERS. 1.0 »• 8241258 824 7765 825 4261 826 7225 827 3693 8280151 828 6599 829 3o38 829 9467 830 5887 83 1 2297 83 1 8698 833 i47» 833 7844 834 4207 835o56i 8356906 836 3241 836 9567 837 5884 8382192 839 4780 840 1061 84o 7332 84 1 3595 84 1 9848 8426092 843 2328 843 8554 844 4772 8457180 846 3371 8469553 847 5727 848 1 89 1 848 8047 8494194 85()o333 85o 6462 85 1 8696 852 48' K) 853 0895 853 6982 854 3o6o 854 9i3o 8555192 856 1244 856 7289 857 9353 858 5372 8591383 8597386 86o338o 8609366 861 5344 862 i3i4 862 7275 8639174 864 5 11 1 865 io4o Log:. Jf._ 734 735 736 737 738 739 74 1 742 743 744 745 746 747 748 749 IiO£ N« liOS 75 1 752 753 754 755 756 757 758 759 761 762 763 764 765 766 767 768 769 771 772 773 774 775 776 777 778 779 781 782 783 784 785 786 787 788 789 791 792 793 794 795 796 797 798 799 865 6061 866 2873 866 8778 867 4675 868 o564 868 6444 8698182 870 4o39 870 9888 871 5729 872 1 563 872 7388 873 3206 8739016 8744818 875 6399 8762178 876 7950 8773713" 877 9470 8785218 879 0959 879 6692 880 2418 881 3847 881 9550 882 5245 883 0934 883 6614 884 2288 884 7954 885 3612 885 9263 887 o544 8876173 888 1795 8887410 8893017 8898617 8904210 890 9796 891 5375 892 65ro 893 2068 8937618 894 3 1 61 894 8697 895 4225 895 9747 896 5262 897 0770 898 1765 898 7252 899 2732 899 82o5~ 900 3671 900 91 3 1 90c 4583 902 0029 902 5468 801 802 8o3 804 8o5 806 807" 808 809 811 813 8i3 814 8i5 816 817 618 819 822 823 824 825 826 ■8^ 828 829 837 832 833 834 835 836 837 838 839 84? 842 843 84J 845 846 847 848 849 85 1 852 853 854" 855 856 857 858 859 "86? 862 863 "864" 865 866 903 6325 904 1744 9047155 905 256o 905 7959 906 3j5o 9068735 9074114 9(J7 9485 909 0209 909 556o 9100905 9106244 911 1576 911 6902 912 2221 912 7533 913 2839 9143432 914871b 91 5 3998 915 9272 9164539 9169800 9175055 9i8o3o3 9185545 9196010 920 1233 920 645o 921 1661 9216865 922 2o63 922 7255 923 2440 923 7620 9247960 925 3l2I 925 8276 926 3424 926 8567 927 3704 927 8834 928 3959 928 9077 929 9296 930 4396 930 9490 931 4579 931 9661 932 4738 932 9808 933 4873 933 9932 935 oo32 935 5073 9360108 936 5 1 37 9370161 937 5179 N* liOs 867" 868 869 If, 871 872 873 874 875 876 "877" 878 879 881 882 883 884 885 886 887 888 889 891 892 893 894 895 896 897 898 899 901 902 903 904 905 9(j6 907 908 909 911 912 913 914 915 916 917 918 919 921 92 a i,23 924 925 926 927 928 929 931 933 933 9380191 938 5197 9390198 9400182 940 5 1 65 941 0142 941 5ii4 9420081 942 5o4i 9429996 943 4945 943 9889 944 9759' 945 4686 9459607 946 4533 946 9433 947 4337 947 9236 948 4i3o 9489018 949 8777 950 3649 950 85 1 5 951 3375 951 8230 952 3o8o 952 7924 953 2763 953 7597 954 7248 955 2o65 955 6878 956 1684 956 6486 957 1282 957 6073 958 o858 958 5639 959 5 1 84 959 9948 9604708 9609462 961 42 1 1 961 8955 962 3693 962 8427 963 3i55 964 2596 964 7309 965 2017 965 6720 966 1417 9666110 967 0797 967 5480 9680157 9689497 9694159 9698816 934 935 936 937 938 939 941 942 943 944 945 946 947 948 949 951 952 954 955 956 957 958 9^9 961 962 963 964 965 966 967 968 969 971 972 973 974 975 976 977 978 979 981 982 983 V84 985 986 987 988 989 991 992 993 994 995 996 997 998 999 970 3469 9708116 971 2758 971 7396 972 2028 9726656 9735896" 974o5o9 9 745117 974 9720 9754318 975 891 1 976 35oo 976 8o83 977 2662 978 1805" 978 6369 979 0929 979 5484 9800034 980 4579 655 980 981 981 8186 982 7234 983 1751 983 626 3 984 0770 984 5273 9 849771 985 4265 985 8754 9 86 3238 987 2192 9876663 988 1 128 9885590 9S9 0046 9 894498 989 8946 990 3389 990782 7 991 6690 992 II 1 5 992 5535 992 9951 993 4362 993 8769 9943172 994 7569 995 1963 9960737 9965117 9969492 997 3864 9978231 998 2593 9986952 999 i3o5 999 5655 N. Log. N. Log. N. Log. N. Log. i I i I LOGARITBICS OF NUMBERS. Nmn. 1 100010000000 01 03 o3 o5 07 08 fj9 10 10 II 13 i3 1 4 1 5 16 17 18 19 ]0 ^o 91 H 9§ a? 28 af io3o 3i 33 11 34 '311 iJH' 37 38 39 1040 44' 43 4? 48 49 10 5o f>i 53 53 54 55 :56 St 58 59 Num. 4341 • 8677 001 3(x:>9 • 'jSj'J 0O3 1661 5980 oo3 0^95 460.5 • 8913 oo43ai4 • 75 1 2 oo5 i8o5 0434 4775 91 II .j£!l>/|!iil 7770 3(093 64i I ■)7>6 f>86o q544 M%Mm 3 6843 iiSt 5o36 5467 9343 oo6o38o :x) « 89.17 007 32 I o * 747t> oo8' 1742 3644 7941 6523 o«o8 5o88 9365 ■oo9'0257 45oo 9773 4074 45o4 8871 oio3ooo • 7339 ©■II 1 474 5704 • 9931 0134154 • 8373 01 3 3587 • 6797' 01 4 loo'j • a-ioS 01 5 3598' • 7788 •016 1974 61 55 0170333 4507 • 8677 018 i843 • 70o5 7904 2168 6437 c«i3 9181 3424 7663 1897 I JtOOp 5643 9977 43o8 8635 3957 7275 i588 5898 «303 3663 6953 55i6 9793 4064 833 1 2594 6853 1 108 130 9605 3848 8086 3330 61 37 655o ♦3540776 45764998 ''87941, ■3oo8 7218 14^4 5635 98'i(3 4017 8306 239 0215 J439 ■7639 1644 6045 ♦243 4436 8625 2810 6991 8800 3092 73bo i664 5944 ♦219 8757 3020 7279 1 533 5784 ♦o3o 4273 85io 2743 6973 1198 5430 9637 385o 8059 3264 6465 0662 4855 9044 3229 7409 1787 6076 *4ii 4l4i 9067 338o 7700 3019 6338 o633 4933 3521 78t>9 209a 6372 0647 49»7 ?i84 446 075 1 4924 9094 32^9 7421 157B 5732 9887 t 019 1 1 63 53 1 7 • 946'** 020 .Ml 3t4o37 • 7755 [8169 021 189IJ3.I07 fxtv "'16440 0a3oi57<,)*i7o 4284 4696 • 84068818 023 3535I39.36 • 6639-o'ii> 034o7592 8a53 24»o 6562 07 1 1 4856 8997 7704 1950 6208 0454 4696 8933 3i66 7396 1621 5843 ♦059 4271 848o 2685 6885 io8a 5274 9463 3647 7827 3oo3 6176 ♦344 45o8 8669 2825 6977 1126 5270 94if 2720 3 1 34 68^.417267 0983}! 396 5n.»9 553i 93309643 33483759 746217873 1572)1985 5678(6088 978o|^i9o 3547 7680 1808 5933 ♦o54 4171 8384 3393 6498 0600 3171 65io 0844 5i74 9499 3831 81 38 345i 6750 io63 1 2 B 4 7 a6o5 3o39 8 9 6943 1277 5607 993a 4253 8569 288a 7190 1493 5793 0659 ♦'^^ 39504379 7377 1710 8238 3521 6799 1074 5344 9610 3872 8i3o 2.384 6633 0878 5l20 ?357 590 781818341 2949 7227 i5oi 5771 ♦o37 4298 8556 2809 7C)5f^ i3o3 5544 9780 401 3 2043 6264 0480 469a 8901 3io5 73o5 i5oi 5693 9881 4o65 8345 2465 6685 34a I 6503 0701 4925 9084 3a4o 7392 1 540 5684 9834 3961 8093 3331 6345 0466 4582 8695 2804 6909 lOIO ♦364 4685 0001 j*i I .J' 7630 1924 6223 o5i7 4808 ?o94 377 7655 1938 6198 o463 4724 8981 3334 7483 1727 5967 ♦3o4 4436 8664 2887 7107 3473 7810 a 143 '64731 0796 5ii6 9432 3744 8o5i 2354 6652 0947 5237 9523 3907 8344 2576 6905 1228 5548 9863 4174 848 1 3784 7082 1376 5666 995l .38o5 4233 0901 5ii3 321 535 7725 I 1930 6iia ♦3oo 4483 8663 i3a3 5534 9742 3945 8144 a34o 653 0718 4901 9080 2838 7010 1 1 77 5341 9500 3656 7807 1955 6099 ♦a38 4374 85o6 2634 6758 0878 4994 9106 32i4 7319 1419 8082 2355 6624 0889 5i5o 9407 3659 7907 2l5l 6391 0627 485o 9086 33 10 7529 1744 5955 ♦ 162 4365 8564 2759 6950 11 37 5319 9496 3256 7427 1504 5757 9916 4071 8222 2369 65i3 0662 4787 891 3o4< 7170 1389 54o5 951 3625 7729 3673 7844 2010 6173 ♦332 85io 2782 7o5i i3i6 5576 9832 4o84 8332 2575 68i5 io5o 528a o5o9 3732 7951 ai65 6376 o583 4785 8984 3178 7369 i555 5737 9916 4090 8260 2427 6589 0747 4486 8637 2784 6927 1066 I 4902 9o5a 3198 7341 1479 56i4 ?745 871 7994 3Il3 6228 ♦339 4446 530I 1^.33 459 7582 1 701 5817 9928 4o36 8i39'8549 Difl*. & Mult. 183913339 2649 6 7 8 9 I 2 3 4 5 6 7 8 1. 1 3 3 4 5 6 7 8 9 43o 860 1290 1720 2i5o 258o 3oio 3440 3870 426 853 1278 1704 3i3o 2556 2982 3408 3834 423 846 1269 1692 21 15 2538 3961 3384 3807 432j 434 864' 8()8 1 296 1 3oa 1728 17.36 3160 2170 2 592 1 3604 3o34 3<>38 3456|3472 3888 3906 427 854 1281 1708 2i35 2563 3989 3416 3843 428 856 1284 1712 2i4o 2568 3996 3434 385a 430 84o 1260 1680 2100 2520 2910 336o 3780 424 848 1273 1696 2120 2544 2968 3393 38i6 425 85o 1275 1700 2125 355() 2975 3400 3825 431 842 1363 1684 3io5 3526 2947 3368 3789 417 834 135l 1668 2o85 25o2 3019 3336 3753 I a 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 4i8 836 1354 1672 2090 35o8 2926 3344 3763 422 844 1366 1688 21 10 2532 2954 33-?n 3798 4i4 828 1243 1 656 2070 2484 2898 33i3 37 i6 419 838 1257 1676 2095 25i4 2933 3352 3771 4ii 822 1233 i644 2o55 3466 2877 3288 3699 4i5 83o 1245 1660 2075 249*^ 2905 3320 3735 4l2 824 1236 i648 3060 2472 2884 3396 3708 4i6 832 1248 1664 2080 2496 3912 3328 3744 4i3 826 1239 i652 2o65 2478 2891 33o4 3717 Diff. At Mult. LOGARITHMS OF NUMBERS. Num. 1060 61 6a 63 64 65 66 67 68 69 1070 71 72 73 74 75 76 77 78 79 1080 81. 8a 83 84 85 86 87 88 89 1090 91 95 93 94 96 97 98 99 II 00 01 02 o3 04 o5 06 07 08 09 II 10 II la i3 i4 i5 i6 17 18 '9 Num. 12 3 4 0253059346838784288 * 7154756379728382 026 1345 1 654 2o63 2472 5333 5741 61 5o 6558 • 94169824^2330641 027 3496 3904 43 1 2 4719 * 7572 7979 8387 8794 028 1 644 2o5i 2458 2865 5713611965366932 • 9777 ♦18305900996 029 3838 4244 4649 5o55 « 7895 83oo 8706 91 1 1 0301948 2353 2758 3 1 63 5997 6402 6807 72 1 1 o3i 0043 0447 o85i 1256 4o85 4489 48o3 * 812385268930 032 21 57 256o 2963 618865906993 033 03140617 1019 4338 464o 5o42 # 8257 8659 9060 034 2273 3674 3075 6285 6686 7087 035 0393 0693 1094 4397 4698 5098 # 829886989098 036 2295 2695 3094 6289 6688 7087 037 0279 0678 1076 4265 4663 5062 tt 824886460044 038 2226 2624 0022 6202 6599 ^99^ 039017305700967 4i4i 4538 • 8106 85o2 o4o 2066 2463 6023 6419 # 9977 ^372 0767 o4i 3927 4322 4716 # 787382688662 043 1816 2210 3604 5755 6149 6543 • 9691 ♦084 0477 043 3623 4016I4409 # 7551 7044 8337 044 1476 1869 2261 5398 57906181 # 93159707^099 045 323o # 7141 046 io48 4952 * 8853 4697 87QI 288 T 6967 1049 7944 1869 5790 9707 3621 753i 1 438 5342 9242 047 27493138 7o3i 0921 4806 5444 9462 3477 7487 1495 5498 9498 3494 7486 1475 5460 9442 3419 7393 1 364 533i 9394 3354 7210 1162 ♦ 6642 048 o532 44i8 • 8301I8689 5461 9516 3568 7616 1660 5700 9737 3770 7799 1824 5846 9864 3878 7888 1895 5898 9898 3893 7885 1874 5858 9839 3817 7791 1 761 5727 4802 8729 2653 6573 0490 44o3 83i3 2219 6122 ♦021 3528 7420 i3o9 5195 9077 55o6 45 1 \Z 7330 1264 5195 9122 3o45 6965 0882 4795 8704 2610 65i2 o4ii 43o6 8198 2087 5972 9853 5535 55 1 6 5926 ♦018 5942 ♦016 4086 8i52 2214 65o8 o544 4576 8604 2629 6655 o635 4612 8585 2554 6520 0482 4441 8396 2347 3277 368i 73i5 i35o 5382 7453 1470 5482 0491 3497 1664 Diff. & Mult. 9776 3745 7709 1670 5628 9582 3532 o633 4574 85io 2444 6373 6766 ♦2990692 4222 46r4 8140 8532 2o56 2447 5968 6359 9876 ' 3781 7682 i58o 5474 9365 3253 7i36 1017 I 01234 56789 408 816 1324 i632 2o4o 2448 2856 3364 3672 4o2 804 1206 1608 2010 2412 38i4 3216 36 1 8 410 8ao ia3o 1640 ao5o 2460 2870 3280 3690 4o4 808 1212 1616 2020 2424 2828 3232 3636 1995 200C 2094 2400 2793 3192 3591 396 792 1188 i584 3376 2772 3i68 3564 393 786 1179 1572 1965 2358 2751 3i44 3537 2800 3200 36oo 397 794 1191 1 588 1985 2382 2779 3176 3573 394 788 1182 1576 1970 2364 2758 3x52 3546 4oi 803 1203 i6o4 2005 2406 2807 3208 3609 8 2786 3i84 3583 395 790 ii85 i58o 1975 2370 2765 3i6o 3555 388 776 1164 1 552 1940 2328 2716 3io4 3492 392 784 1176 1 568 ic6o 2352 2744 3x36 3528 Diff. & Mult. \i LOGARITHMS OP NUMBERS. Num. 1120 ai 29' 3:4 a6 87 ! 38 y II 3o 3i 32 33 34 35 36 37 38 39 II 40 4 1 42 45 46 49 5 1 52 53 54 55 57 58 59 1160 61 '63 '64 65 00 67 68 69 II 70 71 73 73 74 75 '76 77 78 19 Mam. 040 3180 6o56 o5o37« • 76638049 o5i I 535 5384 • 0339 o53 JOOl • 6939 053 0784 4636 • 8464 054 2399 6i3i • 9950 055 3783 • 7605 o56 14»3 5337 • 9049 o57 2856 jj** jn jf^ • 6661 o58o463 4360 o59 1846 5634 • 9419 o6o33oo • 6978 061 0753 4525 • 8393 063 3o58 3343 7318 lOon 49^ 8832 5830 • 9578 o63 3334 • 7086 0640834 458o # 8'333 o65 3061 5797 • 9530 0663359 • 6986 0670709 4438 • 8145 068 1859 5569 • 9270 0693 • 070 0379 4073 • 7765 071 1453 5i38 7356 ii3i 4902 8670 3434 6196 99S 3709 7461 1209 3731 7606 i477 5344 9308 395 0780 1937 2331 37063090 6163 65466929 1489 53i2 9133 3949 6762 88i3 3604 5391 ♦175 3956 o 333o 3455 73i2 1166 5oi6 8862 45o6 838o 225o 6117 9981 384 1 7697 i55i 5400 9247 3254 6077 0896 3712 7534 7377 0753 1 1 39 461 3 8468 3321 6170 ♦01^0400 434a 8081 1916 5748 9576 3401 7333 io4i 4856 8668 6948 0705 4460 831 1 1958 5703 9444 3i82 ^'7 0649 4377 8io3 1835 5544 9359 8866 3639 64f)9 ♦ 176 3939 '^ i456 52 10 8960 2708 ♦33o 4no 7005 1688 5468 0344 ioi7 6786 o55-i 43i6 8075 i832 5585 9335 3o8 3019 684 1 0659 4475 8287 2095 5900 9702 35o 7291 I033 96^ 3343 7o52 0758 4461 8160 i857 555o 9240 255o 3937 624^ 601 1 645 1 ♦192 39J0 7664 1395 5 1 33 8847 3569 6387 ♦002 3714 7423 1 129 483 1 853o Diff. k. Mult 2476 6281 ♦082 388 1 72967676 6836 o566 43o3 8o37 1768 5495 9220 2941 6659 o374 4o85 7794 1499 5201 8900 ?52I 394 7i63 0029 4692 845 2207 5960 9710 3457 7300 0940 4677 84io 3l4l 5868 0592 33i3 7o3o 0745 4456 8164 1869 5571 9370 3596 3965 6388 6658 1088 4877 8663 2444 6223 9999 3771 7540 i3o5 5o68 8827 3583 6335 ♦o85 383 1 7574 i3i4 5o5o 8784 25i4 7348 1467 5256 9041 3823 6601 ♦376 4i48 7916 1683 5444 9203 2958 6711 o46o 43o5 7948 1688 5424 9157 2886 ♦347 4o33 7716 4827 8535 2240 5941 9639 3335 7027 0715 4401 8084 386 773 ii58 1 544 23i6 2702 3o88 3474 383 766 1149 i532 1915 2298 2681 3o64 3447 38o 760 ii4o 1 530 1900 2280 2660 3o4o 3420 2688 3072 3456 388 776 1 164 i552 1940 2328 2716 3io4 3493 4770 8452 1234 567 6 9 374 748 1122 1496 1870 2244 2618 2992 3366 385 770 ii55 1 540 1935 23lO 2695 3o8o 3465 ^82 764 ii46 i528 1910 3292 2674 3o56 3438 378 756 ii34 l5l2 1890 2268 2646 3o24 3402 371 742 iii3 i484 i855 2226 2597 2968 3j39 368 736 iio4 1472 i84o 3208 2576 3944 33i2 J72 1116 1488 i860 2232 2604 2976 3348 369 738 1107 1476 1845 22l4 2583 3052 3321 DiC^t MulL Num. 1180 81 62 83 84 85 86 87 88 89 1190 91 9^ 94 96 97 98 99 1200 01 02 o3 04 o5 06 07 08 09 13 10 II 13 l3 i4 i5 16 17 18 »9 13 20 31 32 33 34 35 96 37 38 39 13 3o 3i 32 33 34 35 36 37 38 39 Num. LOGARITHMS OF NUMBERS. 01234 56789 * 8830.9188 073 3499 2867 61756542 « 9847*215 07335173884 # 7184 074 0847 4507 # 8164 075 1819 5470 # 9118 076 2763 64o4 077 0043 3679 # 73i2 0780942 4568 # 8192 079 1813 543o # 9045 080 2656 6265 # 9870 081 3473 # 7073 082 0669 4363 « 7854 083 i44i 5o26 # 8608 0842187 5763 # 9336 o85 2906 6473 0860037 3598 # 7157 0870712 4365 # 7814 088 i36i 4905 # 8446 089 1984 5di9 # 905 090 358 1 6107 « o63i 091 3i53 6670 093 01 85 3697 # 7306 0930713 755o 12l3 4873 853o 3i84 5835 9482 3127 6768 0407 4o4-p 7675 i3o4 4931 8554 2174 5792 406 017 6626 ♦ 23l 3833 7432 1029 4622 8213 1800 5385 8966 2545 6120 6829 0393 3o54 7312 1067 4620 8169 9556 3234 6910 o582 425i 7916 1579 5239 8895 2549 6199 9847 3491 7i32 0771 44o6 8o38 1667 5293 8916 2536 6i53 9767 3378 6986 0591 4193 7702 i388 4981 8571 2159 5743 9324 2902 6478 ♦o5o 3619 7186 0750 43io 7868 1433 4975 8534 171 5 2070 5259 8800 2337 5872 9404 2933 6460 ^l 7021 o536 4o48 7557 1064 56i3 9153 2691 6226 9757 3286 6812 ♦335 3855 36o3 7377 0949 4617 8283 1945 56o5 9261 3914 6564 ♦211 3855 74q6 ii34 4769 84oi 2o3o 5656 9378 2898 65i5 ♦ 138 3739 7347 0953 4553 8i52 1748 5341 8o3o 2517 6101 3360 6835 0407 3976 7542 1106 4666 8224 1778 533o 8878 2424 5967 9307 3o45 ♦292 3970 7644 i3i6 4984 8649 23ll 0626 3379 70 4220 7860 1498 5i33 8764 2393 6018 9640 3260 6876 0490 4ioo 7707 l3l2 4913 85i2 3107 5700 9389 2876 6459 ♦o4o 36i8 7192 0764 4333 7899 1462 5o22 8579 31 33 5685 9333 2779 6321 861 3q8 6579 ^^^ o463 ♦ no 3639 7164 0687 4207 7373 7724 0887 1239 4399 475o 7908 8259 i4i4 1764 3991 7517 1039 4559 8076 1590 5ioi 8609 2Il5 0660 4337 801 1 i683 535 1 9016 2677 6336 7394 0940 4584 8324 1862 5496 9127 3755 638o ♦oo3 3622 7338 o85i 446i 8068 1028 4705 8379 2o5o 5717 9382 3o43 6702 ♦357 4oio 7659 3o5 4948 8588 2325 5859 9490 3ii8 6743 o365 3983 7599 1212 4822 8429 1672 5273 8871 3467 1396 5073 8746 3416 6084 9748 3409 7068 0733 4375 8034 1669 53i2 8952 2589 6222 9853 3480 7io5 0727 2032 5633 923 1 2826 60596418 9648 3234 6817 0398 3975 7550 1121 4690 8255 1818 5378 8935 3489 6o4o 9588 3i33 6676 ♦ 3l5 3753 7285 0816 4344 7869 1392 49II 8437 1941 5453 8960 3465 1763 5440 9113 2783 645o ♦ii4 3775 7433 1088 4740 8388 2o34 5676 9316 2952 6585 ♦216 3843 7467 1089 4345 7961 1573 5i83 ♦007 3593 7176 0756 4333 7907 1478 5o46 8612 2174 5734 9290 2844 6395 9943 3488 7080 0569 4io5 7639 1169 4697 8222 1744 5263 8779 2292 58o3 931 1 4707 8322 1934 5d43 87899150 2393 2753 5993 6353 9391 9950 3 185 3545 6777 7 1 36 o365 0724 3o5i 4309 7534 7892 iii4 i47t 46905048 82648621 i835 2192 54o3 5760 8q68 9324 3o 2886 6089 6445 0646 ♦OOl J 199 3554 6750 7104 ♦297 o652 3842 4196 7384 77J8 0923 1276 44594812 7992 8345 i522 1875 5o49 5402 8574 8926 2096 2448 56i4 5966 9482 2995 65o5 ♦012 28i6l§i66J35i6 91 3o 2644 6x54 0661 2l3l 5807 9480 3i5o 6817 o48i 4i4i 5io5 8753 2398 6o4o 9680 33i6 6949 o579 4206 783o i45i 5o68 8683 2295 5904 95io 3ii3 6713 ♦3io 3904 7495 io83 4668 825o 1829 54o5 8979 2549 6116 9681 3243 6801 0357 3909 7459 1006 455o 8093 i63o 5i65 8698 2228 5755 9279 2800 63i8 DiC &. Mult. 9833 3346 6856 o363 3867 I a 3 4 5 6 7 8 I 3 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 365 73o 1095 1 460 1825 3190 3555 366 782 1098 1464 367 734 IIOI i468 i83o|i835 2196 2202 2562 2928 2569 2936 2920 3285i3294i33o3 01234 56789 I 3 3 4 5 6 7 8 363 734 1086 i448 1810 3172 2534 2896 3258 363 726 1089 i452 i8i5 2178 254i 2904 3267 364 728 1092 1456 1820 2184 3548 2912 3276 I 359 36o 3 718 720 3 1077 1080 4 i436 1 440 5 1795 1800 6 3i54 2160 7 35x3 2520 8 3873 2880 9 323x 3240 36i 723 io83 1444 i8o5 3166 3537 2888 3249 356 712 1068 1424 1780 2i36 2492 2848 32o4 357 714 1071 1428 1785 2142 2499 2856 32i3 358 716 1074 1433 1790 3i48 25o6 2864 3233 353 3154 706 708 1059 1062 x4i2 i4i6 1765 1770 2118 2124 2471 2478 2824 2832 3x77 3x86 355 710 io65 1420 1775 2i3o 2485 2840 3x95 35o 700 io5o i4oo 1750 2100 2450 2800 3i5o 35x 703 io53 i4o4 1755 2106 2457 2808 3i59 353 704 io56 i4o8 1760 31X3 2464 2816 3i68 JtL f Diff & Mult. o o LOGARITHMS OF NUMBEES. ! Mimi 1240 4 1 43 44 45 46' 4? 4B 49 II So 5i 0" 54 ad 5? 58 59 1360 6t fyt 63 64 65 66 67 68 69 1270 71 72 73 74 75 '76 '77 78 79 I a 80 81 83 83 84 85 86 87 88 89 12 90 91 95 96 97 98 99 12 3 4 5 6 7 8 9 0©3 42i7 • 7718 0941216 471 1 • 8ao4 095 i6o4 5i8o • 8665 096 2i46 3t)34 • 9100 0972573 « 951 1 098 2975 6437 • oC 0993353 1000257 3705 « 7i5i loi 0594 4oJ4 • 7471 1020905 • 7766 io3 1 193 4616 • 8o37 io4 1456 4871 • 8284 io5 1694 5l02 • 85o7 106 1909 5309 • 8705 107 2100 5491 « 8880 108 2267 565o • 9o3i 109 24to 5785 • 9159 no 2529 5897 • 93>6 III 2625 5o85 • 9343 4567 8068 i566 8553 2042 5520 90id 2494 5972 9448 2920 63 98 , 6783 ♦242 3698 7i52 0602 4o5o 7495 oo38 4J77 7814 1249 4680 8109 i535 4958 8379 1797 52i3 8625 2o35 5442 8847 2249 5648 9045 2439 583o 9219 2605 5988 9369 if4l 6123 9496 2866 9599 3961 6321 9678 4917 6418 191 5 5410 8902 2391 5877 9361 2842 6320 9795 3267 6737 ♦204 3668 7129 o588 4o44 7497 0947 4395 7840 1282 4721 8i58 1592 5o23 845a 1877 53oi 8721 2139 5554 8066 2J76 iijlj mil 167 8768 2265 S7596109 9251 2740 6226 0709 3190 6667 ♦i4a 36i4 7084 o55o 4oi4 7475 0934 4389 7842 1292 4739 8184 1626 5o65 85oi io35 S 8794 2220 5643 9063 3480 5895 9307 2717 5783 61 24 91879528 2589 292 5988|632 9724 112 2698 6o5o • 9400 ii3 2747 6092 3o33 6385 9735 3o8i 6426 9385 2778 6169 9558 3944 6327 0707 3o85 646o 9833 32o3 6570 9935 3297 6657 ♦oi4 3368 6720 ♦069 3416 6760 " ' ii" i ai jL 5ii8 9117 a6i4 3ii7 65o8 9896 3282 6665 ♦045 3433 6798 ♦170 3540 6907 ♦272 3633 3 3704 7o55 o4o4 3751 7094 9600 3089 6574 ♦o57 3538 701 5 0490 3962 743 1 0897 i36o 7821 1279 4735 8187 1637 5o84 8528 1970 5409 8845 2278 5709 9137 2563 5985 9405 2822 6237 o648 3o58 6464 3369 6668 ♦o63 3457 6847 ♦335 3620 70o3 o383 3760 7i35 o5o7 3877 7244 0608 3969 7329 o685 4o39 7390 0739 4o85 7429 5968 9467 2964 6458 9949 3437 6923 63i8 817 3i3 6807 298 3786 7271 04060754 3885 7363 o837 4309 7777 1343 4707 8167 1625 5o8o 8532 1982 5429 8873 23i4 5752 9188 3621 6o52 9480 3005 6337 9747 3i64 6578 68o5 ♦3o8 3609 7007 o4o3 37 7186 o574 3o59 7041 0731 4098 7472 0844 43i3 7580 0944 43o6 7664 103I 4374 7735 1074 4420 7763 4333 7710 1 184 4656 8134 iSoo 5o53 85i3 1971 5435 8877 3327 5773 9217 2658 6006 95J2 3965 6395 9822 3347 6669 ♦089 35o5 ^3? 3739 7145 o548 3q49 iMl 0742 4i35 7535 0913 4297 7679 1059 4435 7810 1181 455o 7917 12S0 4642 8000 1 356 4709 8060 i4o8 4754 8097 6668 ♦ 167 3663 7156 0647 4r35 7620 1 102 458i 8o58 i53i 5oo3 8471 io36 5399 8859 23i6 5771 9222 2671 6118 ?56i 002 644o 9875 33o8 6738 ♦ i65 3589 7011 o43o 3847 7260 0671 4o8o 7486 0889 4289 7687 1082 4474 7864 I25l 4635 8017 1396 4773 8147 i5i8 4887 8253 1617 4977 8336 1691 5o45 8395 1743 5o88 843 [ 7018 o5i7 4012 7506 0996 4483 7968 i45o 4929 84o5 7368 0866 4362 7855 1 345 4832 83i6 1798 5277 8753 879 2226 5349 8817 2383 5745 9205 2662 61 16 ?^^ 3oi6 6462 o34o 6784 ♦ 3I< 5696 9164 3639 6091 955 1 3007 646i 6806 ♦349 3690 7127 9|o56a 3994 7423 o85o 4274 7695 iii4 453o 7943 i353 4761 8166 1569 4< ' s: 1760 5i52 854i 1928 53i2 6693 2072 5448 8821 2192 556o 8926 2289 5649 9007 2362 5715 9065 3413 5757 365 1 7081 o5o7 3932 7353 0772 4188 7602 loia 4421 7826 1229 4620 8026 1421 48i3 8203 1590 4974 8355 1734 5iii 8484 i855 5224 8590 1953 53i3 8671 2027 538o 8730 2078 5423 8765I9099 Diflf. k. Mult 12 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 I 1 3 4 5 6 \ I 2 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 1047 1396 1745 2094 2443 2792 3i4i 35o 35 1 700 io5o i4oo 1750 2100 245o 2800 3i5o 702 io53 i4o4 1755 2106 2457 2808 3i59 346 602 10J8 1 384 1730 2076 2422 2768 3ii4 347 694 io4i 1 388 1735 2082 2429 2776 3t33 348 696 io44 1392 1740 2088 2436 2784 3i32 343 344 686 688 1029 io32 1372 1376 171 5 1720 3o58 2064 3401 2408 2744 2752 3087 3096 345 690 io35 i38o 1725 2070 34i5 3760 3io5 340 680 1020 i36o 1700 2o4o 238o 2720 3o6o 341 68af I023 i364 1705 2046 3387 3728 3069 342 684 1036 i368 1710 3o52 23o4 27J6 3078 337 674 ion 1 348 i685 3033 3359 2606 3od3 338 676 ioi4 1 352 1690 2028 2366 2704 3o42 33 67 1017 i356 1695 20J4 2373 3712 3o5i 334 668 1002 i336 1670 2004 2338 2672 3oo6 335 670 ioo5 1 340 1675 30I0 3345 3680 3oi5 336 673 1008 1 344 1680 3016 3352 2688 3o24 Diff. & Mult. LOGARITHMS OF NUMBERS. Num. 1300 01 oa o3 04 o5 06 07 08 09 i3 10 II 13 i3 i4 i5 16 17 18 19 1 3 20 21 22 33 24 25 26 27 28 29 i3 3o 3i 32 33 34 35 36 37 3S 39 i3 4o 4i 42 43 4A 45 46 4l 48 49 i3 5o 5i 52 53 54 55 56 57 58 59 12 3 4 5 6 7 8 9 Num. # 9434 ii4 3773 6II0 # 9444 ii5 3776 6io5 # 9432 116 3756 6077 # 9396 117 3713 6027 # 9338 118 2647 5954 # 9258 119 2559 5858 « 9154 1 30 2448 5730 » 9020 131 23l5 5598 * 8880 0768 3i07 6443 777 109 6438 9764 3o88 6409 9728 3o44 3376 122 2159 5435 # 8709 123 1981 535o # 85i6 134 1781 5o42 # 83oi 125 1 558 48i3 » 8o65 I26i3i4 456i » 7806 127 1048 4288 # 7525 1280760 3993 « 7223 1290451 3676 6899 i3ooii9 3338 6553 # 9767 i3i 2978 6187 # 9393 1 32 3597 5798 # 8998 1 33 2195 6358 9669 2978 6284 9588 2889 6187 9484 2777 6068 9357 2643 5927 9308 2487 5763 9o36 23o8 5577 8843 2107 5368 8627 1884 5x38 83oo 1639 4886 8i3o 1373 4612 784Q io83 43 16 7546 0773 3998 7221 o44i 3659 6875 ♦088 3299 65o7 97i3 2917 6119 9317 35i4 ♦ 102 3441 6777 ♦ III 3442 6771 ♦097 3420 6741 ♦060 6689 ♦000 3309 66i5 9918 3219 65 1 7 9813 3io6 6397 9686 2972 6255 9536 2814 6090 9364 2635 5903 9169 2433 5694 8953 2209 o436 3774 7110 0444 3775 7io3 0429 3753 7073 0392 3707 7021 o33i 3639 6945 ♦948 3549 f3847 ♦ 143 3436 6726 ♦01 4 33oo 6583 9864 3x42 64x8 9691 2962 6230 0770 4io8 7444 0777 4io8 7436 0762 4o85 74o5 0723 4o39 7353 0662 3970 7276 0578 3879 7177 0473 3765 7o55 0343 3628 69U ♦193 3470 6745 ♦018 3289 6557 5463 8715 1964 52IO 8454 1696 4935 8172 1407 4639 7869 1090 4321 7543 0763 3981 7196 0409 3630 6828 ♦o34 3237 9637 2834 9496 9822 739 3o86 6346 9605 2860 6020 2535 5788 9040 2288 5535 8779 2030 5259 84^' 1 7 Jo 4962 8x91 x4i8 4643 7865 io85 43o3 75x8 0730 3941 7149 o354 3558 64396758 57 53 6114 9365 26x3 585o 9iod 2344 5583 8810 2o5j 5285 85x4 1 741 4965 8x87 1407 4634 7839 io52 4962 7469 0675 3878 7078 ♦277 3473 ixo4 4442 7777 IX 10 444i 7769 1094 4417 7737 io55 4370 7683 0993 43oi 7606 0909 4209 75o() 0801 4094 7384 0672 3957 723o 1437 4775 8111 1444 4774 810X 1437 4749 8069 1 387 4702 8014 i324 463 1 7936 1239 4539 783() 1x3 4423 77x3 lOOfJ 4285 7568 o52o 0848 3797 7073 o345 36x6 6883 !^^9 3412 6672 6439 9690 3938 6184 9427 2668 5907 9143 3377 56o8 8837 2064 5288 85io 1729 4946 8161 1373 4583 7790 0995 4198 7398 4i25 7400 0673 3943 7210 0475 3738 6998 ♦256 35x1 6764 ♦01 5 3263 65o8 975 1 9466 2700 5931 9X60 2386 56 10 8832 2o5l 5267 8482 1694 4903 8III i3x6 45x8 7718 3793 1 77 1 5109 8444 1777 5107 8434 X759 5o8i 84oi 1718 5o33 8345 i655 4962 8267 1569 4868 81 65 x46o 4752 8042 1329 46x4 7896 1 175 4453 7727 xooo 4269 7537 2x0513439 54435776 IMff*. & Mult. 0596 0916 4lI3 0803 4o64 7324 o582 3837 7089 0339 3587 6833 ♦076 33i6 6554 9790 3o23 6354 9483 2709 593? 91 54 2372 5589 88o3 2ox5 5224 843 X i636 4838 8o38 1236 443x 8777 2x10 5439 8767 2091 54x3 8733 2o5o 5364 8676 1986 5293 8597 1890 5198 8495 1789 5o8x 8371 1 657 4942 8224 x5o3 4780 8o55 i327 4596 7863 91 XX 2443 5772 9099 2434 5745 9065 238 1 5696 9007 23i6 5623 8927 232 552 8825 3x19 54x0 II38 43oo 7630 0907 4163 74i4 0664 3912 7157 o4oo 364o 6878 ♦ xi3 3346 6577 o8o5 3o3i 6255 9476 2694 591 1 9x24 2336 5545 8752 1956 5x58 8358 i555 475q 5270 8553 i83i 5xo8 8383 1654 4923 8190 1454 4716 7976 1233 4487 7739 0989 4237 748 X 0734 3964 7303 0437 3670 6900 ♦ 128 3354 6577 6333 9446 3657 5866 9072 2277 5478 8678 1875 5070 12 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 33i 662 993 1 324 i655 1086 2^x7 2648 2979 332 664 1 328 x66o 1992 2324 2656 2988 333 666 XJJ2 x665 235l 2664 2997 328 656 084 XJ12 i64o 1968 2296 2624 2952 329 658 x3i6 1645 33o3 3633 3961 33o 660 990 l330 i65o 1980 33lO 3640 2970 325 65o 975 IJQO 1625 1950 3275 3600 326 653 078 x3o4 i63o 1956 3283 3608 327 654 081 x3f« 1 635 I9f)3 2289 2616 9 I393512934I2943 I 322 323 2 644 646 3 966 969 4 X288 1293 5 16x0 i6i5 6 X932 1938 7 2254 2261 8 2576 2584 9 2898 2907 324 648 972 1296 1620 1944 2268 2592 39x6 3x9 638 390 640 957 960 1276 1 380 1595 1600 19x4 1920 2333 2240 3553 356o 3871 3880 321 642 963 1284 i6o5 X926 2247 3568 388^ DidbMult. I •, ^K LOGABITHMS OP NUMBEIS. 111 MUM.^ 1 • 858i i34 1771 .4^59 5a77 8144 B462 65 66 '67 68 69 1370 7' 7a 7'j 74 75 7^ '77 '7® 79 i3 8o 81 83 84 8S 86 87 88 89 1390 91 9a 9a 94 95 96 97 98 99 14 00 01 «4 o5 06 07 08' 09 i4io 11 12 i3 14 1 5 16 17 18 19 Uma. i35 i3i7 4507 • 7685 i36o86i 4^34 • 7206 1370375 3541 6705 • 9867' 1645 4825 8oo3 1 178 4352 6028 9219 2409 5596 8780 1963 5i43 83 20 496 14669 63476666 9538 2728 5914 9857 5o46 6233 90999417 2281 5461 8638 i8i3 4986 752378408157 2599 5779 8956 3l3l 53o3 6985 ♦ 176 3365 655 1 9735 2917 6096 9373 2448 5620 061 38^8 7022 ♦i83 9339 9655 i38 3o27 6i84 139 2492 5643 • 8791 140 1937 •j«j4^ 65oo I 1008 4174 7338 0499 3659 6816 9970 3l22 6272 • 8222 i4i i36i 4498 • 7632 142 0765 3895 7022 143 oi48 3271 6392 • 951 1 i44 2628 5742 • 8854 145 1964 5072 • 8177 1461280 438 1 • 7480 l47 o577 3671 6763 • 9653 i48 2941 6027 • 9110 149 2 1 91 5270 • 8347 i5oi4a2 44q4 » 7664 i5i o633 2807 5958 910694 225l 53o5 S536 1675 4811 7946 1078 4ao8 7335 |20 2566 5709 885o 1988 5i25 8259 »39i i325 4491 7654 o8i5 3974 7i3i ♦285 3438 6587 9735 2880 8473 i64i 4807 7970 ii3i 4290 7447 0601 3753 6902 ♦o5o 3io5 6023 6337 9164 5438 8572 1704 4520 4833 9478 2616 6752 8885 2017 5 1 46 7648 o46o 0773 3896 7016 ♦ i35 325i 6365 9476 2586 5693 8798 3584 6704 9823 2939 6o53 9165 2275 5382 8488 7960 8273 1 59 1 4691 7790 0886 190! 5ooi 8100 1196 3980 4290 7072 ♦ 162 SaSo 6335 9418 2499 5578 8655 T729 4801 io85 4208 7328 o446 6676 9787 2897 6oo4 9108 2211 53ii 738 1 0471 3558 9726 2807 5886 9o36 5io8 1398 4520 7640 0758 3874 6987 ♦098 3207 63i4 94'9 5621 8719 7600 0700 3867 ♦o35 3ii5 6193 8409 i5o5 181 5 45994908 7999 1069 4 787' 0939 4oo5 7069 ♦ i3o 17? 7260 o343 34^3 65oi 92709577 2344 h'65i 54i5 5722 8178 1246 43 1 1 7375 8485 jwi JP' n 1 553 4618 7681 04360742 73o5 0495 3684 6870 ♦o54 3235 64 1 4 9591 2765 5937 7624 o8i4 4o€G 7188 0372 3553 6732 794318262 8792 859 4924 7987 1048 87909107 19582275 5i24i544o 8287^603 1 447 1763 4606,4922 7762 8078 0916 I23l 4068 4383 7217 7532 9424 2591 57^6 8919 2079 5237 8393 1 547 4698 7847 03640679 3509 665 1 3823 6966 •o58 3225 6389 9551 2711 2908 6073 9235 2395 55535869 8709 9024 1862 2177 Dilf. k. Mult. 9792 ♦ 1 06 293© 3243 6o656379 9' 99 95 1 a 233o 264J 5459 5772 8586 " '■ 88989211 41 38 7280 0419 3557 (1692 9825 29S6 6o84 5cn3 8161 i3o8 4452 7594 0733 3871 ►i38 5328 8476 1622 4766 7908 io47 4i84 7319 045 1 1710 4832 7902 1070 4i85 7298 0409 35i8 ()625l 9729 283 1 5931 9029 2ia4 5217 83o8 1397 4484 75G9 o65i 32693582 63976710 9523 9836 2022 5i44 8264 i38i 4497 ■7610 0720 3829 6933 039 3i4i 6241 9338 2434 5527 8617 1706 4793 7877 0959 2647 5768 8888 2335 5456 8576 1693 2 4808 5119 2oo5 7921 io3i 4i4o 7246 o35o 345 1 655 1 9648 2743 5836 8926 201 5 5ioi 8232 1 342 445o 7556 o6fio 3761 6861 3o52 6145 2959 6080 9>99 23 1 6 543 1 8543 i653 4761 7867 0970 4071 7170 ♦267 3362 6454 I a 3 4 5 6 7 8 9. I 2 3 4 5 6 7 B .9 I a 3 4 5 6 7 8 _9_ 1 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9235I9544 2324 ""* 5410 81858493 1 575 3?3i 4o39 6809 71 16 9885'»i02^ 2958|3265 6o3o,6337 1267 4347 J7424 '0499 4655 7732 0807 3573,3880 166446951 909994069712 2|6()j2472 523 1 15537 82938600 2632 5718 8802 1 883 496a 8039 1 114 4187 7257 I 2 3 4 5 6 7 8 y,._ ♦0190326 27793080,3392 5843 6i5o,6456 89r>6 921219518 3541166011966^272^578 12 3 4 5 6 7 8 9 317 634 95 1 1268 i585 1902 2219 2536 2853 320 64o 960 1280 i6go 1920 2240 256o 2880 3i5 63o 945 1260 1575 1890 2205 2520 2835 3i3 626 939 1252 1878 2191 25o4 2817 3ii 622 933 1244 1 555 1866 2177 2488 2799 I 2 3 4 5 6 7 8 309 618 3( 61 927 1236 1 545 1854 21 63 2472 2781 3o7 6i4 921 1228 1 535 1842 2149 2456 2763 3i8 636 954 127a 1590 19(^8 22S6 2544 2862 3i6 632 948 1264 i58o 1896 2212 2528 2844 3i4 628 942 12 56 1570 1 884 2198 25l2 2826 3l2 624 936 1248 i56o 1872 2184 2496 2808 3io 620 930 1240 i55o i860 2170 2480 2790 3o8 616 924 1232 i54o 1 848 2i56 2464 2772 DiClbMulu LOGARITHMS OF NUMBERS. 11 Num. 1420 21 22 23 24 25 26 27 28 29 14 3o 3i 32 33 34 35 36 37 38 39 14 40 4i 42 43 44 45 46 47 48 49 i4 5o 5i 52 53 54 55 56 57 58 59 i46o 6r 62 63 64 65 66 67 68 69 1470 71 T2 73 74 75 76 77 78 79 Num. 01234 56789 152 2883 5941 # 8996 1 53 2049 5ioo » 8i4 1 54 119 4240 # 7282 i55o322 336o 63 # 943o i56 2462 5492 # 85i9 157 i544 4568 » 7580 1 58 0608 3625 664o # 9653 159 2663 31893495 62466552 930119607 2354 2659 38oi 6858 9912 2964 54o5 5710 601 5 8453 8758 i5oo!i8o4 4544:4848 7586I7890 0626 0930 3664'3968 6700' 70o3 9733'^o37 276513068 5794 6097 8822 1847 4870 7891 0910 3927 6941 9954 2964 5672 5973 # 8678 1601683 4685 # 7686 161 0684 368o 6674 # 9666 162 2656 5644 # 863o i63 1614 4596 # 7575 164 o553 3529 65o2 # 9474 1 65 2443 5411 # 8376 166 1 340 43oi 7261 167 0218 897' 198 4985 7986 0984 3980 6973 9965 2955 5943 8928 1912 4894 7873 o85i 3826 6799 9771 2740 5707 8673 i636 4597 7556 o5i4 3173 3469 61276422 « 90789373 168 2027 2322 4975.5269 * 79208215 1690864; 1 1 58 38o5 4099 6744,7038 » 9682I9975 9124 2149 5172 8193 1212 4228 7243 ♦255 3265 6278 9280 2284 5286 8285 1283 4270 7273 ♦264 3254 6241 9227 2210 5192 8171 1148 4i23 7097 ♦068 3o37 6004 8969 1982 4893 7852 0809 3764 6717 9668 2617 5564 85o9 1452 4393 7332 ♦269 9063 210' 5i5 8iq4 1234 4271 7307 o34o 3371 6400 9427 2452 5474 8495 i5i3 7544 o556 3566 657 4107 7x63 ♦217 3270 63 20 9368 24i3 5457 8498 i538 4575 7610 0643 3674 6703 9729 2754 5776 8797 i8i5 453o483i 7845 0857 3867 6875 95809881 2584 2884 5586 5886 8585 8885 i583 4578 7572 o563 3553 654o 9525 25o8 5490 8469 i446 4421 7894 o365 3334 63oi 9265 2228 5189 8i48 iio5 4060 7012 9963 2912 5859 88o3 1746 4687 7626 o563 i883 4878 7871 0862 3852 6839 9824 2807 5788 8767 1743 4718 7691 0662 363 1 6597 9562 2525 5485 8444 1 400 4355 7308 ♦258 3207 61 53 9098 2o4o 4981 7920 o856 44i2 746 o52 3575 6625 9672 2718 5761 8802 1842 4879 7914 0946 3977 7006 ♦082 3o56 6079 9099 2117 5x33 8i46 ii58 4168 7175 ♦ 181 3x84 6186 9185 2182 5x77 8170 1 161 4i5o 7137 ♦ 122 3io5 6086 9064 204 1 5oi6 7988 0959 3927 6894 9858 2821 5781 8740 1696 465o 7603 o553 35oi 6448 9892 2335 5275 8218 ii5o 4718 7774 0828 8880 6929 9977 3o22 6o65 9106 2145 5182 8217 1249 4280 7808 o834 3359 6881 9401 2418 5434 8448 1459 4469 7476 o48i 8485 6486 9485 2482 5477 8470 1460 4449 7436 0420 8408 6884 9862 2889 58i3 8285 1256 4224 7190 ♦i55 8117 6077 9035 991 4946 7898 0848 8796 6742 9686 2629 5569 85o7 1443 5o24 8080 ii33 4i85 7234 ♦281 8827 6870 9410 2449 5486 8520 i553 4583 7611 0687 366 1 6683 9702 2720 5786 8749 9o5< 1760 4770 7777 0782 8785 6786 9785 2781 5776 8769 1759 4748 7784 0719 3701 6682 9660 2686 56io 8582 1 553 4521 7487 045 1 34x3 6878 9881 2287 5241 8198 ii43 4091 7087 9981 2928 5868 8801 1787 5829 5635 88858691 1 439! 1 744 449o'4795 75397844 o586 368 1 6674 9714 2753 0891 8935 6978 ♦018 3o57 5789.6098 8824 x856 4886 7914 0989 8963 6985 ♦oo4 3o22 6037 o 2061 5070 8077 1082 4o85 7086 ♦084 3o8i 6075 9068 2o58 5o47 8o38 1017 8999 6979 9958 2984 5908 8880 i85o 48x7 7783 0747 8709 6669 9627 2582 5536 8488 1 488 4886 733j ♦275 8217 6x57 9004 2o3o 9127 2159 5x89 8216 1242 4265 7287 0806 3323 6338 9351 2862 5371 8878 i383 4385 7886 0884 338o 6875 9867 2357 5845 833i i8i5 4297 7277 ♦255 3281 6205 9177 2146 5ii4 8080 1043 4oo5 6965 }22 578 583f 8783 1733 4680 7626 0569 35x1 645o 9888 2824 DiC &, Mult. I a 3 4 5 6 8 I a 3 4 5 6 7 8 _9. I 2 3 4 5 6 7 8 01234 56789 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 3o5 610 915 1220 i525 i83o 2i35 2440 2745 3o3 606 909 1212 i5i5 1818 2121 2424 2727 3oi 602 908 1204 i5o5 1806 2107 2408 2709 897 1196 1495 1794 2098 2892 2691 297 594 891 1188 i485 1782 2079 2876 2673 295 590 885 1180 1475 1770 2o65 2860 2655 879 1172 i465 1758 2o5l 2344 2687 3o6 612 918 1224 i53o i836 2142 2448 2754 3o4 608 912 1216 1 520 1824 2128 2432 2786 3oa 604 906 1208 i5io i8ia aii4 a4i6 2718 3oo 600 900 1200 i5oo 1800 2100 a4oo 2700 298 596 894 1192 1490 1788 2086 2384 2682 29b 592 888 ii84 i48o 1776 2072 2868 2664 88a 1 176 1470 1764 2o58 2352 2646 I t»4 M Diff. & Mult. 18 ' 178 II 33 401 3 6892 • 9769 179' 2645 'iJP'wJP '1 O 180 1259 4126 32 1 42 1 43oi 7180 ♦o57 2933 5mo5 83898676 " i546 44i3 7278 «l42 3oo4 5864 8722 1578 4432 7284 ♦ i35 2983 583o 8675 i5i8 4359 6914 71 q8 • 9752 #036 i85 2588 287 5422 5705 181 2718 5578 • 8436 182 1292 4M7 1832698 5545 • 83oci 184 12.I4 4075 3 32€>4' '34«7 61.376430 90689361 997 49«4 5 6 7 8 9 784^ 31)94 66i3 399530 2 1 54 5o68 7979 ^89 3797 6702 9606 25o« 5408 5654 82S08538 2446 38 II25 3941 6754 5771 8590 1407 4222 7o35 95669847 2376 5i84 7990 0795 3597 6398 9197 1994 4790 7583 0375 3i65 5953 8740 1 524 4307 7088 9868 2645 5421 8195 0967 3738 65o6 9273 2()38 4802 7563 o323 3o8i 5838 8592 1 345 4096 6846 9593 2339 5o83 7826 o567 33o6 6043 8778 l5l2 4244 6975 9703 2657 5465 8271 1075 3877 6678 9477 2274 5069 7862 o654 3444 6232 9018 i8o3 4585 7366 ♦ 145 2923 5698 8472 1244 4oi4 6783 9550 23i5 5078 7839 0599 3357 6ii3 8868 1620 4371 7121 9868 2614 5358 8100 o84i 3579 63i7 9052 1786 45i7 7248 9976 24302703 5 1 56 5428 7879 0601 • 7607 2o3 0329 30493321 57686040 ♦ 848518756 8i5i 0873 3593 63ii 9028 6o53 8872 1689 45o4 7317 6335 9154 1970 4785 7598 1 28 0409 2938 5745 855 1 i355 4i57 6958 9757 2553 5348 8142 0933 3723 65ii 9297 2081 4864 7644 0423 3200 5976 8749 I 52 I 4291 7060 9826 2591 5354 8ii5 0875 3633 638o 91 4J 1896 4646 7395 ♦i43 2888 5632 8374 iii5 3853 6^90 9325 2059 4791 7521 249 2976 5700 8424 ii45 3865 6583 9299 3218 6026 8832 i636 4438 7238 ♦o36 2833 5628 8421 1212 4oo2 6789 9575 2359 5i42 7922 0701 3478 6253 9027 1798 4568 7336 ♦ io3 2867 563o 83oi ii5i 3908 6664 9418 2171 4921 7670 0417 3i63 5906 8648 1389 4127 6864 23 5o64 7794 o522 3248 5973 8696 1417 4i37 6855 9571 6617 9435 2252 5o66 7879 0690 3499 63o7 91 1 2 1916 4718 75i8 o3i6 3ii3 5907 8700 1 491 4281 7068 9854 2638 5420 8200 0979 3756 653 1 93o4 2075 4845 7613 0379 3i44 5907 8667 1427 4i84 6940 9694 2446 5196 7945 0692 3437 6181 8922 1662 4401 7137 9872 2605 5337 8066 0794 3521 6245 8968 1689 4409 7126 9842 6899 9717 2533 5348 8160 0971 3780 6587 9393 2196 4998 7798 0596 3392 6187 8979 1770 4559 7347 ♦ l32 2916 5698 8478 1257 4o33 6808 9581 2353 5l22 7890 o656 3420 6i83 8943 1702 4460 72i5 9969 2721 5471 8220 0967 3712 6455 9197 1936 4674 741 1 ♦ i46 2879 56io 8339 1067 3793 65i8 9240 1961 4681 7398 ♦ii4 7181 201 5659 844 1 1252 4o6i 6868 9673 2476 5278 8078 0876 3672 6466 92599538 2049 4838 7625 04 II 3194 5976 8766 1 534 43ii 7086 9858 263o 5399 8167 0932 3697 6459 9219 1978 4735 7491 ♦244 2996 5746 8495 1 241 3986 6729 9471 2210 4948 7684 0419 3i52 5883 8612 1 340 4066 6790 9512 2233 4o52 7070 o385 7463 ♦280 3096 5910 8723 1 533 4342 7148 9953 2757 5558 8357 ii55 3951 6745 2328 5ii7 7904 06890968 3473 6254 9034 1812 4588 7363 ♦i36 2907 5676 8443 1209 3973 6735 9495 2254 Soil 7766 O520 3271 6021 8769 i5io 4260 70o3 9745 2484 5222 7958 0692 3425 61 56 8885 1612 4338 7062 9785 25o5 5224 7941 0657 7745 o562 3378 6192 9004 1814 4622 7429 ♦234 3o37 5838 8637 1435 423 1 7025 9817 2607 5396 8i83 375i 6532 9312 2090 4866 7640 o4i3 3i84 5953 8720 i485 4249 701 1 9771 253o 5287 8042 0795 3546 6296 9044 1790 4535 7278 ♦019 2758 5496 823i 0966 3698 642 915 1 885 46ii 7335 057 2777 5496 8213 0928 1 2 3 4 5 6 7 8 9 Ilifr. k. Miih. I 2 3 4 5 6 7 8 9 2b 1 562 843 1124 i4f>5 1686 1967 3248 2529 282 564 846 1 1 28 i4io 1692 1974 2256 2538 I 2 279 558 3 4 837 1116 5 6 7 8 1395 1674 1953 2232 9 25ll 280 56o 84o 1120 i4oo 1680 i960 2240 2520 I 277 a 554 3 83i 4 1108 5 1 385 6 1662 7 8 1939 2216 9 2493 278 556 834 III3 1390 166B 1946 3224 2502 I 375 2 55o 3 825 4 1 100 5 1375 6 i65o 7 1925 8 3 300 9 2475 376 552 828 iio4 i38o i656 1933 3208 2484 I 273 2 546 3 819 4 1092 5 i365 6 i638 7 1911 8 2184 9 2457 374 548 822 1096 l370 1644 1918 2193 2466 I 271 3 543 3 8i3 4 1084 5 i355 6 1626 7 1897 8 2168 9 2439 372 544 816 1088 i36o i632 1904 2176 2448 Difl*. & Molt. 14 LOGABITHMS OF NUMBERS.. Minn. 1000 oi tn o3 o4 o5 06' 08 09 1610 II i3 14 i5 16 17 18 19 16 20' 31 22 23 24 a5 a6 2J 28 29 16 3o 3i 32 33 *I4 35 36 37 38 39 16 40 4t 42 43 " w t 45 .46 47 48 49 16 5o 5i 52 3v 54 55 56 .57 58 59 12 3 4 5 6 7 8 9 304 1200 3913 6625 4 9335 2o5 2044 475o 7455 2060159 2860 3%lOO 1471 4i85 6896 9606 23i4 5o2i 7726 0429 3i3i 583o 1743 4456 7167 9877 7.585 5292 7996 • 8259 207 0955 365o 6344 ♦ 9035 208 1725 44i4 7100 ♦ 9785 309 2468 5i5o # 7830 2ioo5o8 3i85 586o • 8534 211 I205 3876 6544 « 921 1 212 1876 4540 7202 ♦ 9862 2i3 25ai 5178 • 78.33 2140487 3i39 579O' # 8438 2i5 1086 3732 6376 • 9018 2014 4727 7438 ♦I 48 2856 5562 8267 36990969 8520 1225 3920 661 3 9304 1904 4**2 7369 ♦o54 2737 5418 8098 0776 3453 6128 4839 747* 218 0100 2729 5355 8801 1472 4i42 6811 9477 2142 4806 7468 ♦128 2786 5443 8098 0753 3404 6o55 8703 i35o 3996 664o 9282 1023 450' 7200 9836 2470 5io3 7734 o363 18 3401 6100 8798 1495 4189 6882 9573 2263 4951 7637 0322 3oo5 5686 8366 1044 3720 6395 9068 1740 3671 6370 9068 1764 4459 7i5i 9842 2532 5220 7906 0690 3273 5954 8634 l3l2 8 9335 2007 • 7980 2190603 3225 5845 • oj^4 4409 7078 9744 2409 5072 7734 o3o4 3o52 5709 8364 1017 3669 63i9 8968 i6i5 4676 7344 ♦oil 2675 533b 8000 0660 33i8 2285 4998 7709 0419 3127 5833 8537 240 3941 6640 9338 2o34 4728 7421 ♦III 2801 5488 8174 0859 3541 6222 8902 579 4255 6930 9603 2274 4943 7611 0277 2942 56o5 8266 0926 3584 42604525 6904 9346 2187 4826 7463 5974 6240 8620 8895 128J i548 3o34 4199 6849 6584 9233 1880 7169 9811 245 1 5090 7727 o363 2997 5366 5629 7997 8260 8242 0866 3487 6107 8726 0626 3254 588o 85o5 1128 3749 6369 8987 0889 35i7 6143 8767 1390 4oii 663i 9249 9498 2i44 4780 7433 ♦075 2715 5354 0626 3260 5892 8523 Il52 3779 64o5 9o3o i652 4273 6893 951 1 2557 5269 7980 0690 3397 6io3 8807 i5io 421 1 6910 9607 23o3 4997 7090 o38o 3070 5757 8443 II 27 38io 6490 9170 1 847 45p3 7197 9870 2541 5210 7878 o544 3208 5871 8532 1191 3849 65o5 9160 i8i3 4464 7»i4 9762 2409 5o54 7 o3 2828 5541 825i 0960 3668 6374 9078 1780 4481 7180 9877 2573 5267 7959 0649 3338 6026 8711 1396 4078 6758 9437 2Il5 4790 7464 ♦i37 2808 5477 8144 0810 3474 6i37 8798 1457 4ii5 3099 58i2 8522 r23i 3939 6644 9348 2o5o 475 1 7449 ♦ i47 2842 5536 8228 0918 3607 6294 8980 1664 4346 7026 9705 2382 5o58 7732 o4o4 3075 5744 8411 1077 3741 64o3 9064 1723 438 1 3371 6o83 879^ 5o2 4209 6915 9618 2320 502I 7719 o4i6 3lI2 58o5 84Q7 1187 3876 6563 9248 io32 4614 7294 9973 265<) 53a5 7999 0671 3342 6()Jo 8678 1 343 6771 9425 2078 473o 7379 ♦027 2673 53i8 X)3 i33o 060 2979 5617 8254 0890 3523 6i55 8786 i4i5 4042 6668 9292 1914 4535 7 1 55 9773 3243 588 1 85i8 1x53 3786 64i8 3642 6354 9064 1773 4480 7i85 9889 2590 5291 7989 0686 338i 6074 8766 i456 4i45 6832 9517 2200 4882 7562 ♦241 2918 5593 8266 0938 3609 6277 8944 1610 DiflT. &, Mult. 7037 9691 2343 4995 7644 0292 2938 5583 8226 0867 3507 6i45 8781 i4i6 4o5o 6682 90499312 1677 1940 43o5 4567 69307193 9554 2177 4797 7417 ♦o34 9816 2439 5o5o 7678 0296 4007 6669 933© 989 4646 7302 9956 2609 5260 7909 o556 32o3 5847 8490 Il3l 3771 6409 9045 1680 43i3 6045 9375 2203 483o 7455 ♦079 2701 5321 4273 6935 9596 2255 4912 7568 ♦221 2874 5525 8174 0821 3467 6111 8754 1395 4o34 6672 ?^ 4576 7208 9838 2466 5092 7718 o34i 2963 5583 I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 79408202 0558)0819 12 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 271 542 8i3 1084 i355 1626 1897 2108 2439 269 538 2( 531 807 1076 1 345 i6i4 i883 2l52 2421 267 534 801 1068 1 335 1602 1869 2i3o 24o3 265 53o 795 1060 i325 2120 2385 263 526 789 io52 i3i5 1578 i84i 2io4 2367 272 544 816 1088 i36o 1 632 1904 2176 2448 261 522 783 io44 i3o5 i566 1827 3088 2349 270 540 8io T080 i35o 1620 1890 2160 2430 268 536 8o4 1072 1 340 1608 1876 2144 2412 266 532 798 1064 i33o 1862 2128 2394 264 528 792 io56 l320 1 584 i848 2112 2376 262 524 786 1048 i3io 1572 i834 2096 2358 Diff. k. Malt. LOGARITHMS OF NUMBERS. 15 Num. 1060 61 62 63 64 65 66 67 68 69 1670 71 72 73 74 75 76 77 78 79 1680 81 82 83 84 85 86 87 88 89 2690 91 94 95 96 9Z 98 99 1700 Of 02 o3 o4 o5 06 "7 08 09 17 10 II 12 i3 i4 i5 16 17 18 19 Nam. 01234 56789 330 1081 3696 63io * 89229184 1 342 3058 6371 i6o4ii866 221 1 533 4i42 6760 # 9356 222 i960 4d63 7165 # 9764 223 2363 224oi48 2740 533 1 « 7920 225 o5o7 3093 5677 # 8260 2260841 342' 5999 # 8576 227 ii5i 3724 6296 # 8867 228 i436 4oo4 6570 # 9134 1794 44o3 701 1 9617 2221 4824 7425 ♦024 2622 5219 7814 o4o7 2999 5590 8178 0766 335i 5q35 >9J )5i 85i8 1099 3679 6257 8833 i4o8 3982 6554 4219 6833 9445 2o55 4664 7271 9877 2481 5o84 7685 0284 2882 5479 8073 0667 3258 5849 8437 1024 36io 6194 8776 1 357 3937 65i5 9091 1666 4239 6811 4481 7094 9706 23i6 4025 7532 ♦ i38 2741 5344 7945 o544 3i42 5738 8333 )26 229 16 42 6818 * 9377 230 1934 4489 7043 # 9596 23i 2 1 46 4696 7244 • 9790 232 2335 4879 7421 233 aSoo 5o38 7574 2340108 2641 5173 7703 a35 0232 9124 1693 4260 6826 9390 1953 45i5 7074 9633 2189 4745 7298 985 1 2401 4951 7499 ♦045 2590 5i33 7675 ♦ 2l5 2754 5291 7827 o362 2894 5426 7956 o484 0317 6107 3868 6452 9034 i6i5 4194 6772 9348 1923 4496 7068 2127 4742 7355 9967 2577 5i86 7793 0398 3oo2 56o4 8205 0804 3402 5998 8592 ii85 3777 6366 8955 54i 4127 6710 9293 1873 4452 7o3o 9606 2180 4753 7325 9381 io5o 4517 7083 9647 2209 4771 7330 9888 2445 5ooo 7554 ♦106 2656 5206 7753 0299 2844 5387 7929 0469 3oo8 5545 8081 o6i5 9638 2206 4774 7339 9903 2466 5027 7586 ♦ i44 2701 5256 7809 o36i 291 1 5460 8008 o554 3098 564i 8i83 0723 3262 5799 8334 0868 2759 3oi I 3i48 5679 8209 0737I0990 32643517 3401 5932 8462 9895 2463 5o3o 7596 ♦ I 59 2722 5283 7842 o4oo 2956 55ii 8064 0616 3i66 5715 8263 0808 3353 5896 8437 0977 35i5 6o52 8588 1122 3654 6i85 8715 1243 3769 2389 5oo3 7617 ♦228 2838 5446 8o53 o658 3262 5864 8465 1064 366i 6257 265o 5265 7878 0489 3099 5707 83x4 0919 3322 6124 8725 1 324 3921 65x7 8852 91 II i444 4o36 6625 9213 1800 4385 2l3l 4710 7288 9863 2438 5oii 7582 ♦ l52 2720 5287 7852 o4i6 2978 5539 8098 o656 3212 5766 8320 0871 3421 5970 85i7 io63 3607 61 5o 8691 1704 4295 6884 9472 2059 4644 7227 9809 238> 496; 7545 ♦ 12X 2695 5268 7839 0409 2977 5543 8108 0672 3234 5795 8354 09x1 3467 6022 8575 1 1 26 3676 6225 8772 i3i7 386i 64o4 8945 12 26 8x39 0750 336o 5968 8574 1 179 3783 6384 8985 1 583 4i8i 6776 9370 963 4554 7x43 9731 2317 3x73 5788 8400 ion 3621 6229 8835 x44o 4043 6645 9245 x843 4440 7o36 9630 2222 48i3 7402 ^6 I23l 3769 63o6 884i 1375 3907 6438 8967 1495 4022 1 485 4o23 6550 9995 X628 4x6o 6691 9220 1748 4274 4902 7485 ♦067 2647 5226 7803 0378 2953 5525 8096 0666 3233 58oo 8365 0928 3490 6o5i 8609 X167 3723 6277 883o i38i 3931 6480 9026 1572 4ii6 6658 9x99 1739 4277 68x3 9348 1881 44i4 6944 9473 2001 4527 5i6o 7743 o325 2905 5484 3435 6049 8661 1272 3882 6489 9095 1700 43o3 6905 95o5 2io3 4700 7295 9889 2481 5072 7661 ♦248 2834 5419 8002 o583 3i63 5741 ]>ifr. &. Mult. 8060 o636 32IO 5782 8353 0922 3490 6037 8621 xi85 3746 63o7 8865 1423 3978 6532 9085 1 636 4x86 6734 9281 1826 4370 6912 9453 X992 453o 7067 960 X 2i35 4667 7197 9726 2253 83i8 0893 3467 6039 8610 X179 3747 63i3 8878 i44i 4002 6562 9121 1678 4234 6788 9340 1891 444i 6989 9536 2081 4624 7166 9707 2246 4784 7320 9855 2388 4920 745o 9979 25o6 47791 5o3 2 1 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 260 520 780 io4o i3oo i56o 1820 2080 2340 261 522 783 io44 i3o5 i566 1827 2088 2349 258 5i6 774 io32 1290 i548 1806 2064 2322 259 5i8 777 io36 1295 1 554 i8i3 2072 233 1 I 254 2 5o8 3 762 4 1016 5 1270 6 1 524 7 1778 8 2032 9 2286 255 5io 765 1020 1275 i53o 1785 2o4o 2295 252 5o4 756 1008 1260 l5l2 1764 2016 2268 253 5o6 759 1012 1265 i5i8 1771 2024 2277 Diff. &. Malt, I 256 25? 2 5l2 5i4 3 768 771 4 1024 1028 5 1280 1285 6 1 536 1 542 7 1792 1799 8 2o48 2o56 9 23o4 23i3 LOOABITHHS OF N0MBERS. 1234 5 6 78 ITSW 31 33 34 36' 27 29 17 'So 3i 33 34 w3 •Jv 37 38 39 1740 4t 42 43 44 "" • f 45 46 47 48 49 1750 Si 53 54 55 56 57 58 59 1760 63 64 65 66 67 66 69 1770 71 72 73 74 75 76' 78 79 Ifain. 5537 8061 0584 3io5 5625 Bi43 0660 3175 5689 8201 071a 3222 5730 ••135 5284 ♦ 7809 236o33i 2853 5373 # 7891 2370408 3923 5437 • 7950 338o46i 2971 5479 » 7986 239 0491 2995 5497 ♦ 7998 240 0498 3996 5492 • 7988 341 '0482 3974 5465 t 7954 342 0442 ITi 5414 • 7898' 343 o38o 2861 534 1 344 0296 0543 0791 0741 3245 5747 8248 0748 3246 5789 83 1 3 o836 3357 5876 8394 091 1 3426 5940 8452 0963 3472 5980 8487 0992 3495 5998 8498 0997 3495 60426294 8566 8818 1068 1 340 36o9|386i 6i28|638o 86468898 ii63 3678 6191 8703 I3l4 3723 6281 5742 5992 8337:8487 '073,1 '3333 5714 0980 3472 5963 8203 8452 0691 3178 8 1 46 0940 3426 5911 8395 •o6'29o877 3109 3357 5589:5837 2771 5245 7718 245 0189 2658 5 1 27 7594 3460030 3523 4986 744? • 9907 347 2J65 4823 7278 3366 5'74o 8212 o683 3i52 5620 8087 o3o6|o552 276913016 5232 5478 3019 54oa 7905 o436 2905 5373 7840 7693 ♦ i53 261 1 5o68 7939 0399 2837 53i4 7524 7769 9733 9978 248 2186 4637 7087 243 1 4882 7332 95369781 349 1984 443o 6874 • 9318 3501759 ♦223 2676 5127 7577 ♦026 2473 4oi 2228 4674 71 197. 956219806 2004 2248 i4i4 3929 6443 8955 1 465 3974 6482 8737 8988 1242 3746 6248' 8748 1493 3996 6498 8998 1247 1497 3745 3995 62416491 87368985 1229*1479 3721 ~ 6212 3970 6461 8950 1437 8701 1189 36753923 6160,6408 8643:8891 1125 1373 36o5'3853 6o85:6332 85628810 1039 1286 35143761 59876234 84598706 0930 3399 5867 8333 0798 32t)2 5724 8i85 0645 3[o3 5559 801 5 0469 2921 5S72 7822 0271 2718 5i63 7607 ♦o5o 2492 1177 3646 6ii4 858o 1045 35o8 5970 843i 0891 3349 58o5 8260 0714 3i66 5617 8067 o5i5 2962 5408 7852 0294 2736 6547 9070 1592 4it3 6632 91 5o 1666 4i8i 66946945 9206 17^6 4225 6732 9238 1743 4246 6748 9248 1747 4244 9235 1728 4220 6710 9i I 417a 6656 9139 1621 4ioi 658o 1844 4365 6884 9401 19^7 4432 9457 1967 4476 6983 9480 1993 4496 6998 9498 1997 4494 67406990 9484 1977 4469 6959 9447 1935 4420 6905 9388 9o58 93o5 9553 1534 4008 6482 8953 1424 3893 636o 8826 1 291 3755 6217 8677 ii36 35o4 6o5l 85o6 0959 3412 5862 83i2 0760 3207 5652 7o52 9575 2097 4617 7i36 9653 2169 4683 7196 9708 2 3 18 4727 7234 9739 2244 4747 7248 9748 3247 4744 7239 9734 2326 4718 7208 ti 4669 7i5j 9636 4349 459 1869 4349 6828 93o5 1781 4256 6729 9200 1671 4i4o 6607 9073 i538 4001 6463 8923 i382 384o 6296 8751 I205 3657 6107 8557 ioo5 345i 5897 2117 '7 7076 3039 45o3 6976 9448 1918 4386 6854 9320 1784 4247 8096,8340 05390783 298013234 670969: 4086 6542 8997 i45o 3oo2 6352 8802 1249 3696 6i4i 8585 1027 3468 9 7556" •079 73o4 9827 33492601 48695121 7387 9905 2420 4935 7448 9959 2469 4977 7484 9990 2494 4997 7498 9998 t 2496 4993 74» 998 2476 4967 7457 9945 3433 4917 7401 9684 2365 4845 7324 9801 3376 4750 7223 2I05 4633 7100 2o3o 4493 .55 94i5 1874 433 1 6787 9242 1695 4147 6597 9047 1494 39^ 63i 8829 1271 3712 7639 ♦i56 2672 5i86 7699 ♦2 10 2720 5228 7735 ♦240 2744 5247 7748 ♦248 2746 5243 7738 ♦232 2725 5216 7705 ♦iq4 2680 5i66 765o ♦ l33 261 3 5093 7571 ♦048 2524 4998 7470 9942 2411 4880 7347 95669813 2277 4740 7201 9661 2120 4577 7o33 9487 io4o 4392 6842 1739 4i85 663o 9073 i5i5 3956 INflT. h. MulL I 3 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 9 01234 56789 z 2 3 4 5 6 7 8 9 353 5o4 756 1008 1260 l5l2 1764 2016 2268 35o 5oo 75o 1000 I35o i5oo 1750 3000 335o 348 496 744 993 1240 1 488 1736 1984 2333 253 5o6 759 1012 1265 i5i8 1771 3034 3277 244 488 732 976 1230 i464 1708 1953 2196 25 1 5o2 753 ioo4 1255 i5o6 -1757 2008 2259 4 747 996 1245 1494 1743 1992 2241 I 246 2 492 738 3 4 984 5 I23o 6 1476 7 1722 8 1968 9 3214 347 494 74i 988 1235 1482 1729 1976 2233 345 490 735 980 1335 1470 I715 i960 3205 DiC Ac Mult. LOGARITHMS OF NUMBERS. 17 Num. 1780 81 82 83 84 85 86 87 88 89 1790 91 92 94 95 96 9Z 98 99 1800 01 02 o3 04 o5 06 07 08 09 18 10 II 12 i3 i4 i5 16 17 18 19 18 20 21 22 23 34 25 36 37 38 29 18 3o 3i 32 33 34 35 36 37 38 39 Num. 12 3 4 5 6 7 8 9 9016 i44i 3865 6287 8709 895 350 420014444 4688 663968837127 # 9077 9321 9564 261 i5i3 1757 2001 394941924435 6382 # 881 5 252 1246 3675 6io3 # 853o 253 0966 338o 58o3 # 8224 254 0645 3o63 5481 # 7897 255o3i2 2725 5i37 7548 # 99^7 256 2365 4772 5oi3 7177 7418 # 9682 9822 257 1984 2224 4386 4626 6786 # 9185 258 1 582 3978 6373 # 8776 259 1 1 58 3549 5939 # 8327 26007140952 3099 3338 5484 5722 # 78678105 261 0248 o486 2629 2867 5oo8 5246 7385 7623 # 9762 262 2x37 45ii4748 68837121 # 9255 9492 263 1625 1862 3993 423o 636 1 6597 # 87278063 264 1092 1 328 3455 3691 58176053 9544I9787 1975 4404 6832 5176 7614 ♦o52 2488 4922 71127355 75 9258 i683 4107 6529 2218 4647 7074 9501 1926 4349 6772 9193 1 1 28 3547 5964 838o 0794 320813449 1370 1612 3789 4o3o 6206 8621 io36 6447 8863 1277 3690 6102 85i2 0921 3328 75o6 9904 23oi 4697 7091 9484 1876 4266 6655 9043 1668 4o53 6437 8820 1 201 7071 9436 1801 4i64 6526 5460 7832 ♦2o3 2572 4940 7807 9673 2o37 44oo 6762 5908 8346 0783 3218 5652 246r 4889 7317 9743 2168 4592 7014 9435 1 854 4272 6689 9104 i5i9 8931 6343 8753 1161 3569 5975 838o 0783 3i85 5586 7o85 o383 2780 5176 7570 ^l 4744 7i33 9521 6i5i 8590 1026 3462 5896 7842 0273 2703 5x32 7560 9986 2411 4834 7256 9677 2096 45i4 6o3i 9346 1760 4172 6584 8994 i4o2 38io 6215 8620 1 023 3425 5826 8225 0623 3020 541 5 7809 ♦202 2593 4o83 7872 9759 ♦228 2653 5076 7498 99^9 2338 4756 7172 9587 2001 1907 4292 6675 9o58 1439 38i8 6197 8574 0950 3324 5697 8069 o44o 2809 5i77 7544 9900 2273 4636 6998 2145 453o 6914 9296 1677 4o56 6435 8811 1187 3562 5935 83o6 0677 3o46 54i4 1270 3705 6139 0471 2895 53i8 7740 ♦ 161 258o 4997 74i4 9829 2242 44 1 4 4655 6825 9235 1643 4o5o 6456 8860 1264 3665 6066 8465 o863 3259 5655 8o48 o44i 2832 5222 761 1 9998 2384 4769 7x52 9534 1915 4294 6672 904 142 3799 6172 8543 0914 3283 565 1 7780 ♦ i46 25lO 4873 7234 7066 9475 1884 4291 6696 9IOI i5o4 Diff. & Mult. 8705 iio3 3499 58o4 8288 0680 3071 5461 7849 ♦237 2622 5oo7 7390 9772 2i53 4532 6910 9287 1662 4o36 6409 8781 ii5i 3520 5887 2822 5239 7655 ♦070 2484 4896 7307 9716 2125 453i 6937 9341 1744 4i46 6546 8945 1342 3738 61 33 8527 S 8017 o382 2746 5x09 7470 33io 5700 8088 0475 2861 5245 7628 ♦010 2391 4770 7148 9524 1900 4274 6646 9018 i388 3757 6134 0619 2982 5345 82548490 o855 3219 558i 770617942 9 3 4 5 6 7 8 9 I 2 340 480 3 4 5 6 7 720 1200 i44o 1680 8 9 1920 2160 i Diff. 8l Mult. LOGARITHMS OF NUMBERS. MiHiiL 4t 43 ■v4V 45 46 47 S 49 i8 5o 5 1 54 55 56 5? 5B 59 t8 6o 6t 6a 63 64 65 '66 67' 66 % 18 7O' 71 '"J'SI 73 74 75 76 77' 78 79 1880 81 83 83 84 85 87 88 89 18 90 91 93. 94 9S 98 ■itT'tiMniit • 8178 a65 o538 2896 3a33 7609 # 9964 a66 2Ji7 4669 7oao 1 2 3 84i4|M5od886 5 6 7 8 9 0774 3 1 3a 5489 7845 2552 4904 / JS HiyJ *jl 93699604 267 1717 4064 64io • 8' 268 1097 3439 5780 • 8119 a69 0457 2794 5129 7464 2703129 4459 6788 • 91 16 271 1443 3760 6093 1010 3368 5725 8080 0434 2787 5i39 7490 98 J9 21,87 >ioo4 59606196 83 16 8551 1952 4299I4533 6644 .3673 6014 0691 3028 53635: 2362 469a 7021 9349 1670 4ooi 6325 • 84i68648 272 0738 0970 3o58 3290 5378 56io 76967938 2730013 3338 4643 6956 • 9268 374 1578 3888 0244 4874 7187 « 8563 2750809 3ii4 5417 7719 2760020 2320 9122 1 2461 1 48 1 0670 3o23 5374 772.5 ■074 38; 0905 32'3\J' 5609 7060 o3o9 6879 9323 I300' ■3907' 6248 8587 0925 3261 24a I 4768 711.3 9457 I Bod 20. 4i4i 6482 6716 8831 II 58 2596 :49a5 7254 9582 1908 4234 6558 7348 96Q2 2o34 9054 1392 34953728 i3o I164 m63b496 ' "2828 5i58 6790 91 1 3 1434 3754 888 1202 3522 584 1 8i59|839i 04760708 3oa3 60736. 2791 SioS 74i8 94999730996 1809 4119 6196 6427 8734 1 039 3344" 5647 7^9 02 5o 2549 2o4o 43 5o 6658 8964 1.270 4618 4848 6915 .« 93 1 1 277 i5€6 6093 • 8383 278 0673 2962 D2DO 7145 944 1736 4029 8613 0902 3191 5478 5078 7375 967' 'O 4258 632il655o 884 1 4376 6o63 1^ ,0730 3o6i 5391 ■7720 ♦047 '2.374 7487 9815 2l4l 4466)4699 7032 9345 1666 63o5 18633 5337 0939 3254 ■76507881 2271 458 1 6888 9195 i5oo 3574 38o5 4*>35 587761086338 817984098640 048007100940 3a39 2779 ^*^ •*I92 481 1 71 19 9426 I73I fi3t 3420 5707 53o7' ■7604 9900 2194 4488 6780 9070 i36o 5936I6 3.3«J7 7834 ♦ 129 2424 4717 7009 3877 164 9358 1717 4075 643 1 9M9830 io53 4S11 87879*^2 666769037138 ii4o 3493 5844 8195 o543 2801 5237 7582 2268 4610 6950 9288 1626 3962 6297 863o 0963 3294 5624 7953 0280 2606 4931 7255 9577 1898 4318 1376 3728 6080 8420 0778 2189 4546 9257 161 1 3963 63i5 8664 ioi3 5t>i8 7374 94939728 18462082 565 3 1 2613360 5472 7817 ♦ 160 5706694 8o5i 0394 35033737 48445078 71837417 9522 975(1 1850I2093 4195442 6530J6764 8864 58576090 «i8584i8 'o5i 3 0745 2839 5i63 7487 6537 671 8854 1171 3486 2733 5o42 1196 3527 9097 1429 3760 9809 ai3o 445o 6769 9080 i4o2 3717 5799603 81128343 0423 0654 3964 73507581 9656 1 961 4265 4496 4726 6568 6798 7028 887091009330 1170 i4oo i63o 3469 3()99 3^29 5767 8o63 0339 2653 4946 73.38 95a8 1818 4106 6393 9887 2192 ♦o66jo3o2 2435 2660 4782 4>99 '5o 8899 1248 3595 1 8285 0629 3971 53i2 765 1 9090 2327 9J4662 3071 5396 '77 » ♦04 1 2362 4682 7001 9318 634 9J795: 0374 2594 4914 394914 6262 8574 o885 3195 55o4 7811 ♦117 ,24a 2 ^997 8293 o58» 2882 5175 7467 9757 2o47 4335 6622 6226 8523 o8ib 3lI2 54o5 4434 6785 9134 i483 383o 6175 8520 o863 32o5 5546 7885 ♦ 223 256o 4896 723o 9564 1893 4236 6555 8884 121 1 3S36 586i 8184 o5o6 2826 5 1 46 7232f7464 95499781 i865 ^7 9iJo 1662 3093 6323 865 1 0978 33o4 5628 mw. & Mult ^2097 i8ol|4ii 64936725 88069037 1116 i347 34a63657 8042 o348 3653 4956 2276 685o 956ci i860 4i58 6456 8752 K*47 3341 5634 7925 ♦2 1 5 25o4 4792 7079 8273 0578 2883 5j87 7259 7489 1 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 9790 2090 4388 6686 8982 1277 3570 5863 81 54 0444 2733 5a2i 7307 1234 56789 235 470 7o5 940 1175 ]4io 1645 1880 2Il5 236 472 708 944 1180 i4i6 16S2 1888 2124 233 466 609 93a ii65 1398 i63i 1864 2097 234 468 702 936 1170 i4o4 i638 187a 2106 I 23 1 a 469 3 693 4 924 5 ii55 6 i386 7 1617 8 1 848 9 2079 232 464 696 938 1160 1392 1624 1 856 2088 I 929 2 458 3 687 4 916 5 1145 6 1 374 7 i6o3 8 i832 y 2f)6l 23o 46o 690 920 II 5o i38o 1610 i84o 2070 Difr. &, Mult. Num. 1900 01 02 o3 04 o5 06 07 08 09 19 10 II 12 i3 i4 f5 16 17 18 19 1920 21 22 23 24 35 36 37 28 29 1930 3i 33 33 34 35 do 37 38 39 1940 4i 4a 43 45 46 48 49 1950 5i 52 53 54 55 56 57 58 59 Num. LOGARITHMS OF NUMBERS 19 12 3 4 5 6 7 8 9 I ]>ijf. 4c Mult. 278 7536 7766 # 9821 4050 279 2io5 2333 4388 4616 66696898 * 8950 280 1239 35o7 5784 * 8059 281 o334 2607 4879 71 So « 9419 282 1688 3955 6221 • 8486 283 0750 30T2 5274 7534 # 9793 284 205l 4307 6563 # 8817 285 1070 3322 9178 1457 3735 601 1 8287 o56i 2834 5io6 7377 9646 1915 4182 6448 8712 0976 3238 55oo 0278 2562 4844 7126 9406 685 3963 6239 85i4 0788 3o6i 5333 7604 9873 2i4i 4408 6674 8939 1202 3465 5726 7780 7986 ♦oi9o>45 2276 4533 6788 9043 1296 3547 4759 4984 5573 5798 " "8048 0296 2543 4789 7823 2860071 23i9 4565 6810 ♦ 9054 2871296 3538 5778 ♦ 8017 2880255 2493 4728 6963 • 9196 389 1428 366o 5890 * 8118 290 o346 2573 4798 7022 2502 8222 o5o6 2790 5072 7354 9634 1912 4190 6467 8742 1016 3289 556o 783 1 ♦ 100 2368 4635 6901 9165 1429 3691 5952 8212 0470 2728 7034 9278 l520 3762 6002 8241 0479 2716 4952 7186 9419 i652 3883 6112 834i 0560 2795 5o2t 7245 7014 9268 l52I 3773 6023 8273 o52i 2768 5oi4 7359 95o3 1745 3986 723 949 1746 3998 6248 8497 0746 2993 5238 7483 9726 1969 4210 6226I6450 845^» 0735 3oi8 53oi 7582 9862 2 1 40 4418 6694 8969 1243 35i6 5787 8o58 0327 2595 4862 7127 9392 i655 3917 6178 8438 0696 2953 5210 7465 9719 1 971 4223 9246 9468 291 1 468 368o 5908 • 8127 292 o344lo566|o788 8465 0703 2939 5175 7409 9643 1875 4io6 6335 8564 0792 3oi8 5243 7467 9690 1912 4i33 6352 1690 3911 61 3o 8349 8570 6473 8722 0970 3317 5463 7707 9951 2193 4434 6674 868989 0927 3i63 53 76. 9866 2098 4329 6558 8787 1014 3240 5466 7690 9912 2i34 4355 6574 8792 1009 i3 ri5o 3387 5622 7856 ♦089 2321 4552 6781 9010 1237 3463 5688 7912 ♦i35 3356 4577 6796 9014 I23l 8670 0963 3247 5529 7810 ♦090 2368 4645 6922 9197 1470 3743 6oi4 8285 05540781 8907 1 192 3475 5757 8o38 o3i7 2596 4873 7149 9424 1698 3970 6242 85x2 91 36 1420 3703 5985 8266 o545 2824 5ioi 7377 9651 1925 4197 9364 1 648 3931 62i3 9593 1877 4160 644i 7604 9879 2 1 52 4425 8494 8722 0773 3o5i 5328 lOOI 3279 5556 7832 ♦106 2822 5o88 7354 9618 1881 4i43 64o4 8663 0922 3179 5435 7690 9944 2196 4448 6698 8947 1 195 3442 5687 7932 ♦175 2417 4658 6898 3o48 53i5 7580 9844 2107 4369 663o 8889 ii48 34o5 566i 7916 ♦ 169 2422 4673 6923 9172 1420 3666 5912 8i56 0399 2641 4882 7122 91 36 1 374 36io 5845 8079 o3i2 2544 4775 7004 9232 1 460 3686 5910 8i34 o357 2578 4799 7018 9236 1453 64696696 8739- " 1007 3275 5541 7807 ♦071 2334 4595 6856 9115 1373 363o 5886 8i4i 0394 2647 4898 7148 9397 1644 3891 6i36 838i 0624 2865 5io6 7346 9584 1821 4o57 8966 1234 35o2 5768 8o33 0297 25oo 4821 7082 9341 1599 3856 6112 8366 0620 2872 5i23 7373 9622 1869 4ii6 636i 86o5 o848 3090 533o 7570 9360 1598 3834 60696292 83o3 o536 2767 4998 7227 9455 1682 3908 6i33 8356 o579 2800 5020 7240 9458 1674 8526 0759 2990 5221 745o 9678 1905 4i3i 6355 8579 0801 3o22 5242 7461 9679 1896 9808 2045 4281 65 16 8749 0982 32i3 5444 7673 9901 2127 4353 6578 8801 I023 3244 5464 7683 9901 2118 238o 4652 6923 9192 i46i 3728 5995 8260 o523 2786 5o48 73o8 9567 1825 4082 6337 8592 0845 3097 5348 7598 9846 2094 4340 6585 8829 1072 33i4 5554 7793 ♦o32 2269 45o4 6739 8973 I2o5 3436 5667 7896 ♦ 123 235o 4576 6800 9023 1245 3466 5686 7905 ♦ 123 2339 01234 56789 I a 3 4 5 6 7 8 [ 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 227 454 681 908 ii35 i362 1589 1816 2043 228 456 684 912 ii4o i368 1596 1824 2o52 I 225 226 2 45o 452 3 675 678 4 900 904 5 II25 ii3o 6 i35o i356 7 1575 i583 8 1800 1808 9 2025 2o34 223 446 669 892 iii5 1 338 t56i 1784 2007 224 448 672 896 II 20 1 344 i568 1792 2016 221 442 663 884 iio5 1 326 i547 1768 1989 223 AU 666 888 mo i333 i554 1776 1998 Diif. 6l Mult. i ■ M LOGARITHMS OF NUMBERS. Nm. 12 34 5 6 7 8 9 6i m M m m #7 66 69 1970 71 7a 73 74 75 76 77 78 79 1980 St 83 85 86 07 88 89 1990 91 93 oi yt 95 96 97 98 no aooo Of 03 o3 d4 ■o5 07' 08 .09 30 10 II 13 l3 l4 i5 16 17 18 19 {2032561 3783 47764997 6990 731 1 • 93039434 293 i4i5 i636 3626 • 8o44 394025 1 3457 4662 6866 • 9069 395 1271 347 If 5671 7869 3960067 3363 4458 6652 • 8845 397' io37 3227 5417 7605 7824 • 9792 ♦on 398 1979 3197 4i64 4382 6348 6566 • 853 1 3990713 2893 5073 7353 • 9420 3oo i6o5 3781 5955 • 8128 3oi «3oo 3471 4641 6809 • 8977 3os 1 144 3309 5474 7637 • 9799 3o3 rg6i 2177 4i3i 4337 6280 64q6 • 8438 8653 3a4 0595 0810 2751 4905 7059 • 9219 3«>5 1 363 8766I89! 0913 3119 5334 7527 89I9510 9730 9950 3ou4 5319 743S 96459867 1857 3078 4068 6277 8485 0693 2898 6111 83oo o5o6 2703 4897 7001 9383 1475 36f>5 5854 8043 023o a4i6 4601 6785 8749 8967 1149 3225 5440 7654 1931 4i3i 633 1 852Q 0720 2922 5u6 73io 9502 1694 3884 6073 a634 4819 7003 9185 1367 3329I3547 5509 7687 9864 3o4i 4316 6390 8562 8261 8480 o448 0667 2853 5o38 7331 0734 5905 5o75 7343 941 1 0951 3l32 5291 74oo 9627 1794 39S9 612.3 8286 o448 23q3 3609 4553 " 6711 6927 88699085 1026 1243 3397 5533 77o5 9857 3oo8 2l5l 435 1 655o 8748 0945 3i4i 5336 7539 9732 1913 4io3 6393 366813890 5883 61 o5 1 168 333o 55o8 7677 9844 2825 4769 4984 7143 9301 1457 36i3 5767 7920 ♦073 2324 8097 o3o9 2520 473o 6940 9147 1 354 356o 5764 7968 ♦ 170 3371 4571 6770 8968 ii65 336i 5555 7748 9941 3l32 4332 65ii 3071 5356 7439 9633 i8o3 3983 6162 834o i386 3556 5725 7893 ♦001 2237 4393 6556 8718 0880 3o4i 5200 7359 9516 1673 3828 5982 8i35 0288 2439 83i8 o53o 2741 4951 7160 9368 1575 3780 5985 8188 0390 3591 4791 6990 9188 1 385 358o 5774 7968 ♦160 235i 4541 6730 8918 i[o4 3290 5474 7658 9840 2021 4301 638o 8558 0735 5172 7381 9589 1795 4ooi 6205 84o8 0610 3811 Son 72107430 94089637 i6o4 38oo 5994 i6o3 3773 5942 8110 0377 3443 4608 6772 8935 1096 3257 5416 7575 9732 1888 4o43 6198 835 1 o5o3 2654 4333 6547 8760 0973 3i83 6436 6646 8629 8849 o83i 3o3i 523 1 8406 o5o8 2709 4979 7168 9355 1 543 3727 5911 8094 0276 3457 4637 6816 8994 1170 3346 5520 3 8187 0379 2570 4760 6949 9i36 i323 35o8 5693 7876 ♦o58 2239 4419 6598 8776 0953 3 1 38 53o3 7476 9648 3o37 4207 6376 8544 0711 2876 5o4r 7204 9367 i528 3689 5848 8006 *i63 2319 4474 64 1 3 6628 85668781 07180933 2869 3o84 3473 5632 7790 9948 3io4 io5i 335i 545i 0494 3675 4855 7034 921 1 1 388 3563 5737 7911 ♦o83 3354 4424 65o3 8760 0937 3093 5257 7431 9583 1745 3905 6064 8333 0379 3535 01234 56789 Diif. &, Mult. 1 231 333 3 442 444 3 663 666 4 884 888 5 iio5 mo 6 1 326 i333 7 1 547 i554 8 1768 1776 9 1989 1998 1 319 438 3 3 657 4 876 5 1095 6 i3i4 7 1 533 8 1752 9 1971 330 440 660 880 1 100 ]330 1 540 1760 1980 I 217 3 434 3 65 1 4 868 5 io85 6 i3o2 7 i5i9 8 1736 9 1953 3l8 436 654 87a 1090 i3o8 1 526 1744 1963 I 3l5 3 43o 3 645 4 860 5 1075 6 1390 7 i5o5 8 1730 9 1935 3l6 648 864 1080 1396 l5l3 1738 1944 DiC & Mult. iP LOGARITHMS OF NUMBERS 21 Num. 2020 31 23 33 24 a5 a6 37 28 39 30 3o 3i 3a 33 35 36 37 38 39 3o4o 4i 42 43 44 45 46 47 4S 49 30 5o 5i 52 53 54 55 56 57 58 59 3060 61 62 63 64 65 66 67 68 69 3070 71 73 73 74 75 76 77 78 79 Num. 12 3 4 5 6 7 8 9 305 35i4 7812 306 2io5 42 5o 6394 « 8537 307 0680 2820 4960 3o8i374 3509 5644 7778 # 9910 309 2042 4172 63o3 ♦ 843o 3ioo557 2684 4809 6933 # 3ii I 178 33oo 5420 7539 # 9657 3i2 1774 3889 6004 ♦ 8II8 3i3o23i 2343 4454 6563 ♦ 8672 3140780 2887 4992 7097 # 9201 3i5 i3o3 34o5 55o5 7605 ,% 9703 3i6 1801 3898 5993 8088 3170181 2373 4365 6455 * 8545 3729 5878 8026 ♦ 174 2320 4465 6609 8752 0894 3o35 5i74 73i3 945 1 1 587 3723 5858 7991 ♦ i.?3 2255 4385 65i5 8643 0770 2896 5021 7145 9656 9269 1391 35i2 5632 3944 6093 8241 o388 2534 4679 6823 8966 1 108 3249 5388 7527 9664 1801 3936 6071 8204 o337 2468 4598 6727 8856 0983 3109 5234 7358 9481 i6o3 3724 5843 775o 7962 9868Uo8o 1985 4ioi 6216 833o o442 2554 4665 6774 8883 0991 3097 52o3 7307 94ii i5i3 36i5 5715 7815 9913 201 1 4107 6203 8297 0390 2483 4574 6664 8754 2197 43r3 6427 854i o654 2765 4876 6985 9094 1201 33o8 54i3 75i8 9631 1724 3825 5925 8025 ♦ 123 2220 4317 64i2 4i5o 63o8 8456 o6o3 2749 48o4 7037 9180 l322 3463 56o2 7741 9878 20l5 4i5o 6284 84i8 o55o 2681 48ii 6940 9068 1 195 3321 5446 7570 9693 i8i5 3936 6o55 8174 0292 2408 4524 6639 8752 o865 2976 5087 7196 93o5 i4i2 35 1 8 5624 7728 983 1 1934 4o35 6i35 8235 o333 243o 4526 6621 85068716 0600 2692 4783 6873 8963 0809 2901 4992 7002 9172 4374 6523 8671 0817 2963 5io8 7252 3677 58i6 7954 ♦093 2228 4363 6498 86 3 1 0763 2894 5oa4 7153 9281 i4o8 3534 5659 7783 9905 2027 4i48 6267 8386 o5o4 2620 4736 685o 8964 1076 3187 5298 7407 95i5 1623 3729 5834 7939 ♦042 2144 4245 6345 8444 o543 2640 4736 683 r 8925 1018 3iio 5201 7291 9380 4589 6737 6952 8885 9100 48o3 io32 3178 5322 7466 9609 1750 3891 6o3o 8168 o3o6 2442 4577 671 1 8844 0976 3i07 5237 7366 9494 1621 3746 5871 7995 ♦117 2239 436o 6479 859S 0715 2832 4947 7061 9175 1287 3398 55o( 761 1 9726 i833 3940 6045 8149 0252 2354 4455 6555 8654 0752 2849 4945 7o4o 9134 1337 33t9 54io 75oo 9589 1247 3392 5537 7680 9823 1964 4io5 6244 8382 o5i 265 4790 6924 9057 1189 3320 545o 7579 9707 1 833 3959 6084 8207 o33o 245 1 4572 6691 88 ro 0927 3o43 5i59 7273 9386 1498 36io 5720 7829 9937 2o44 4i5o 6255 8359 5oi8 7167 93i5 i46i 3607 575i 7805 ♦o37 2178 4319 6458 85o6 0733 2869 5oo4 7i38 9271 1402 3533 5663 7792 9919 2o46 4171 6296 8419 o542 2663 47«4 6903 9021 1 139 5233 7382 5448 7597 9529 9744 1676 3821 5966 8109 025l 2392 4532 6672 8810 0947 3082 5217 735 1 9484 1616 3746 5876 8004 ♦ l32 2258 4384 65o8 0754 2875 4996 7ii5 9233 i35o 1891 4o36 6180 8323 o465 2606 4746 6885 9023 1160 3296 543 1 7564 9697 1829 3959 6089 8217 o345 2471 4596 6721 8632 8844 0462 2564 4665 6765 8864 0962 3o59 5i55 7250 9344 1437 3528 5619 7709 9798 32553466 537oi558i 7484 7696 9597 1709 3821 5931 8o4o ♦ i48 2255 436 1 6466 8570 0672 2774 4875 6975 9809 1921 4o32 6142 825i o358 2465 4571 6676 8780 o883 2985 5o85 7185 9074 9284 1172 3269 1 382 3478 5364:5574 745017669 9553 9762 t646 3738 5828 7918 ♦007 i855 3947 6037 8127 0216 0966 3087 5208 7327 9445 1 562 3678 5793 7907 ♦020 2l32 4243 6353 846i 0569 2676 4782 6887 8990 1093 3195 5295 7395 9494 1 591 3688 5784 7878 9973 2064 4i56 6246 8336 0425 12 3 4 5 6 7 8 9 Diif. & Molt. I 2 3 4 5 6 7 8 2l4 428 642 856 1070 1284 1498 1712 1926 3l5 43o 645 860 1075 1290 i5o5 1720 1935 I 312 2 424 3 636 4 848 5 1060 6 1372 7 i484 8 1696 9 1908 2l3 426 639 853 io65 1278 1 491 1704 >9^7 I 210 2 420 3 63o 4 84o 5 io5o 6 1260 7 1470 8 1680 9 1890 211 433 633 844 io55 1366 1 477 1688 1899 208 4i6 309 4i8 624 627 832 836 io4o 1045 1248 1254 1 456 1 463 1664 1672 1872 1881 Die & Mult. lyilillll tCm LOGARITHMS OF NUMBERS SOSO 8i 8a 83 84 85 86 87 88 ^ 2090 91 92 93 94 95 96 98 99 2100 01 02 o3 o4' o5 06 ■07 08 '09 21 10 II 12 i3 i4 16 17 18 "9 II .30 23 24 .27 28 a9 21 3o 3 1 32 33 34 35 37 38 39 012 34 56789 318 0633 2721 4807 6893 • 8977 3i9 1061 3i43 5224 73o5 '9384 9^9' 0842 im 5oio 7 10 1 9186 1269 335 1 5433 75 1 3 i2 io5i 3i38 5a24 7310 93949602 320 1 463 3540 5617 7692 • 9707 321 i84o 3913 5984 323 01 24 2193 4301 6327 • 8303 323 0457 aSai 4584 6645 ♦* 8706 3240766 38a5 4883 • 8993 325 io5o 3io4 5i57 7209 • 9260 326 i3io 5407 7454 327 i545 358o hjNkJljPlBj| 76751 • 0716 338 1757 3796 5834 787 a * 9909 329 1944 1671 3748 5824 7900 9974 3o48 4 1 20 6191 8262 o33i 3400 4467 6534 8599 0664 2727 4790 685i 8912 0972 3o3o 5o88 7145 9201 1255 3309 5362 74i4 9465 i5i5 3563 56ii 7658 1477 3559 " 141 7721 9800 1878 3956 6o33> 8107 ♦ 182 1260 5433 75i8 i685 3768 5849 7920 ♦008 2607 4674 67406947 "9012 1077 6240 83 1 5 0389 2462 4534 6606 '8676 0745 2813 488i 8806 0870 2934 4996 7058 9118 1 178 3236 5394 735o 9406 1 461 35i4 5567 7619 9670 i468 3556 564a 7727 981 1 1894 3976 6o57 8i37 0216 2086 2294 4 1 63 4371 3i4o 5202 7264 9324 1 384 '3443 54 75. 9613 1666 3720 5772 7834 9875 1719 1934 95009705 1750 3794 5837 7879 9920 1961 4000 6o38 8076 ♦ 112 3f48 39794182 60126216 8045 3300077 3108 8348 0280 23 [l 3768 58i6 7863 9909 1954 3998 6o4i 8o83 ♦ 124 2i65 4204 6242 8379 o3i6 235 1 4386 6419 8452 o483 25i4 3973 60a I 8068 ♦ii4 2i58 4202 6i45 8287 o328 2369 44o8 6446 8483 oSio 2555 6447 8522 0596 3669 4743 68i3 8883 0952 3020 5087 7 1 53 9210 1283 3346 5408 7470 9530 1589 3648 5705 7762 9817 1873 3925 5978 8029 ♦080 2139 4178 6226 8273 o3i8 3363 4407 64 5o 84o2 o5j3 2572 461 3 665o 8687 0723 2758 4589 6622 8655 0686 2717 4792 6826 8858 0889 2920 1677 3764 7935 ♦019 2102 4i84 6265 8345 0424 25o2 4579 6655 8730 0804 2877 4949 7030 9000 1 159 3237 53^ 73(X) 94a5 963 1489 3553 56i5 7676 9736 994 1795 3854 591 1 7967 ♦023 2077 4i3o 6i83 8234 0285 2334 4383 1886 3973 6059 8143 0227 23lO 4392 6473 8553 o632 2709 4786 <>86j 8987 lOII 3o84 5i56 7227 9297 3434 55oi 7567 2 1696 3759 5821 7882 2 2001 2727 4808 6889 8969 io47 8477 o523 2567 4611 6654 4o59 6117 8173 0228 2282 4336 6388 8439 0490 25^9 4588 643o6635 8682 0737 2772 481 5 6858 86068900 07370041 07 J7 2776 481 5 6853 8890 0926 2962 4996 7029 906 1093 3i23 0941 3980 5019 7057 9004 ii3o 3i65 5199 7333 9264 1296 3326 2095 4i8i 6267 8352 o436 35i8 4600 6681 8761 0839 2917 4994 7070 9145 1218 329! 5363 7434 95o4 1572 364o 5707 7773 9838 190a 3965 6037 8088 #i48 3207 4a65 6322 8378 0433 2488 4541 6593 8644 0695 3744 479a 684o 8886 0982 3976 5020 7062 9104 II45 3i84 5323 7261 1 334 3369 5402 7436 23o3j25l3 43904! 6476 856o 0644 3 1 25 5202 7277 9352 1426 3498 55^0 7641 9711 1779 3847 5914 7980 ♦045 2108 4171 6233 8294 o354 24i3 4471 6528 8584 0639 693 4746 6798 4 8769 o852 2935 5oi6 097 9176 1255 3333 5409 7485 88499055 0900 2949 4997 7044 9468967 1499 3529 i63 3706 5777 7848 9917 1986 4o54 6121 8186 oaSi 23i5 4377 6439 85oo o56o 2619 4677 6734 8789 0844 2898 4951 7oo3 II 3i8i 5224 7267 9308 1 349 3388 5437 7465 9501 i537 3572 56o6 7639 1702 3732 DiC iio5 3i54 5202 7249 9395 i34i 3385 5438 7471 95i3 i553 3593 563i 7668 9705 1741 3775 5809 7843 9874 1905 3935 01234 56789 ao8 207 306 205 304 303 DiC Diff. & Malt. I a 3 4 5 6 I I a 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 I 2 3 4 5 6 7 8 309 418 637 836 1045 1354 i463 167a 1881 308 4i6 634 83a io4o 1248 i456 1664 1872 207 4i4 631 828 io35 ia4a 1449 i656 i863 206 4ia 618 824 io3o 1236 i44a i648 i854 2o5 4io 6i5 820 ioa5 ia3o 1435 1640 1845 204 408 612 816 1020 1324 1428 1 633 i836 3o3 406 609 8l3 ioi5 1218 1421 1624 1827 IMCatMnlt. LOGARITHMS OF NUMBERS 23 Num. 2140 4i 42 e 44 45 46 47 48 49 21 5o 5i 52 53 54 55 56 57 58 59 21 60 61 62 63 64 65 66 67 68 69 21 70 7» 72 73 74 75 76 77 78 79 21 80 81 83 83 01234 56789 330 4 1 38 6167 # 8195 33f 0222 2348 4273 6297 * 83 20 332 o343 2364 4385 64o4 * 84a3 333 o44o 2457 4473 6488 • 85oi 334o5i4 3526 4538 6548 # 8557 335 o565 2573 457? 6585 » 8589 336 0593 3596 4597 6598 • 8598 337 059 2595 4593 6589 # 8584 338 0579 2572 4565 6557 « 8547 339 o537 4341 4544 6370 6572 8397 0424 2450 4475 4678 65oo 8523 o545 2566 4587 6606 8624 0642 2659 4674 6680 8703 0716 2738 4739 494' 84 85 2526 45i4 m 65o2 87 • 8488 88 340 0473 89 2458 21 90 4441 91 6434 92 # 84o5 93 341 o386 94 2366 ?^ 4345 96 6323 97 « 83oi 98 342 0277 99 2252 6749 8768 0766 2773 4780 6785 8790 0793 2796 4797 6798 8798 0797 2795 4792 6788 8784 0778 2772 4764 6756 8746 0736 2725 47i3 6700 8686 0672 2656 4639 6622 8604 o584 2564 4543 6521 8498 0474 245o 8600 0627 2653 6702 8725 0747 2768 4789 6808 8826 0844 3860 4876 6890 o 6960 8959 0967 2974 4980 6986 8990 0993 2996 4998 6998 8998 0997 2995 6988 8983 0978 2971 4963 6955 8946 0935 2924 4912 8885 0870 2854 4747 6775 88o3 o83o 2855 4880 6904 8927 0949 2970 4991 7010 9028 ro45 3o62 5077 7092 89649105 0917 3939 1118 3i3o 5i4i 7i5i ?:^ 3175 5i8i 7186 9190 1 194 3196 5198 7198 9198 1 197 3195 5i 71 9183 1 177 3170 4838 6820 8802 0782 2762 474 1 6719 8696 0672 2647 5x63 7i54 9145 ii34 3i23 5iii 7098 9084 1069 3o53 5o36 7018 9000 0980 2960 4939 6917 8894 0870 2845 4949 6978 9006 I032 3o58 5o83 7107 9129 ii5i 3172 5193 7212 9230 1347 3263 5279 7293 9307 i3i9 333i 5342 735i 9360 i368 3375 538i 7386 9391 1394 3396 5398 7398 9398 1397 3394 5391 7387 9382 1376 3369 5362 7353 9344 1 333 3322 5309 7296 9282 1267 325i 5234 7217 9198 1178 3i58 5i37 7114 9091 T067 3o42 5i52 7181 9208 1235 3261 5285 7309 9332 1 354 3374 5394 74i4 9432 1449 3465 5480 7495 9508 l52I 3532 5543 7552 9561 1569 3576 5582 7587 9591 1594 3597 5598 7598 9598 1596 3594 5591 7587 9582 1576 3569 556i 7552 9543 1 532 3520 55o8 7495 9481 1 466 3449 5433 74i5 9896 1376 3356 5334 73i2 9289 1265 3240 5355 7384 941 1 1437 3463 5488 75ii 9534 1 556 3577 5596 7615 9633 i65o 3667 5682 7696 9709 1722 3733 5744 7753 9762 1770 3777 5782 7787 9791 1795 3797 5798 7798 9798 1796 3794 57QI 7786 9781 1775 3768 5558 7586 9614 i64o 3666 5690 7714 9736 1758 5760 775i 974a 1731 3719 3779 398 5798 7817 9835 i852 3868 5883 7897 991 1 1923 3934 5945 7954 9963 1970 3977 5983 7988 9992 1995 3997 5998 7998 9998 1996 3994 5761 7789 9816 1843 3868 5892 7916 9988 i960 6000 8019 ♦037 2o54 4070 6o85 8099 ♦ 112 2124 4i35 6x46 8x55 ♦x64 2171 4178 61 83 8186 ♦ 192 2195 4x97 5990 7986 9981 1974 3967 5959 7950 9940 1930 3918 5oo6 7892 9679 9878 5707 7693 1664 3648 563i 76x3 9594 1 574 3554 5532 75xo 9486 1462 3437 6198 8198 ♦ 198 2x96 4x93 6x 81 ♦ 180 3174 4i66 61 58 8x49 ♦139 2x29 4xx7 6104 8091 ♦076 2061 4045 6027 1862 3846 5829 78XX 9792 1772 3752 5780 7708 9684 x66o 363513832 5964 7992 ♦019 2045 4070 6095 8118 ♦i4i 2x62 41 83 6202 8221 0239 2255 4271 6286 83oo o3i3 2325 4336 6347 8356 o364 2372 4378 6384 8389 0892 2395 4397 6898 8398 0897 2896 4393 6889 8385 0370 2873 4366 6358 8848 o338 2827 43x6 68o3 8289 0275 2259 4243 6226 Diff. 9990 1970 8950 80098207 ♦x88 2x68 4x47 5928)6x26 79058x08 9882 i857 ♦070 2o55 4029 Num. 1 3 4 6 7 8 9 202 201 aoo 199 198 DifT. A: Muh. I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 Diff. I 2 8 4 5 6 7 8 I 2 3 4 5 6 7 8 2o3 406 609 8l3 ioi5 I3l8 l42I 1624 1827 202 4o4 606 808 lOXO I2I3 i4i4 x6i6 1818 201 4o2 6o3 804 joo5 1206 1407 1608 1809 200 4oo 600 800 JOOO 1200 i4oo 1600 1800 ^99 398 597 796 995 1194 1398 1592 X791 198 396 594 792 III i386 1 584 1783 197 394 591 788 985 1183 1879 1576 1773 Diff. & Mult LOOAEITHM'S O'F NUMBERS. Nun. 4 5 6 7 342 4227 6200 8173 34301.45 2116 4o8'6 '6o55 8o3>3 3q23 5887 785 1 • 9814 345 1776 3737 ,„ »7 • '961 5 3461573 353o 5486^ 7441 • 9395 347 1 348 33oo 53 5 2 7202 • 91 5a 348 iioi 3o4o 4996 6942 • 8887 349 o832 3775 47*8 IJOOO • 8601 35oo54i a48o 4419 6356 • 8293 35 1 0239 4424 6398 8370 0342 23 1 3 4283 6252 8220 ♦ 187 21 54 4II9 6084 8048 ♦010 1979 4623 esoS 8568 0539 25lO 48191 5oi6 6792 8765 , 0736 0933 2707 2904 448046774874 644966466843 8417 86i4 8810 o384o58i0777 235o 2547 ^743 43 16 45 1 3 628016477 8344 0207 3168 4199 6090 8049 ♦007 1964 3725 ■JPOO 1 7636 9590 1 543 3495 iwFiii|[Mi|| jT 7307 ■9347 1296 3343 5190 7i36 9083 1026 3970 4912 6554 8795 0735 3674 4612 6550' 84868680 0432 0616 255o 64i7 8349 0281 3691 5642 7592 9542 1490 3438 5385 733 1 9276 1230 3i64 5 1 06 7048 0929 8440 o4o3 2365 6285 8245 0203 2160 4II7 6073 8027 9981 1934 3886 5837 7787 9737 i685 470Q 6673 8636 4523 648 1 8440 0% 3356 43i2 6268 8232 ♦176 3129 9471 i4i5 3358 53oi 7342 89899183 II23 353 i465 3391 53i6 7239 • 9162 2018 3q48 5877 7805 9732 i658 3583 55o8 7433 9355 3838 5774 7730 9665 1609 3552 54q5 74» 9377 i3i7 sJ'VJ'vJ'jB %M Jt%JxJ 33II 4i4i 6070 7997 9924 i85i 3776 5700 7624 9547 5ooo 6937 0874 0809 3744 4678 6611 8543 0474 34o4 4334 6263 8190 ♦117 3o43 3900 5893 7816 5iq4 7i3i 9067 ioo3 3937 4871 6804 8736 0667 3597 4537 6455 8383 o3io 3336 4i6i 6o85 8009 97391993 915993569554 ii3i i338 1 535 3 1 01 3208 3495 5368 7336 45o8 6463 84i8 0371 3334 58o6 7779 9751 1723 3693 5464 7433 93049401 i367 3333 5298 7262 9225 1 188 3i49 6oo3 7976 9948 1919 3889 5858 7827 4914 6873 8832 0790 3747 4703 6659 86i3 0567 519 ■76 447 ^ 5iio 7069 9038 0986 3943 4022 5960 7915 9860 i8o4 3747 5689 763o 7825 4217 6164 8109 ♦o54 1998 5495 7459 9423 i384 3345 53o6 7265 9324 1183 3i38 9765 1705 3643 558 1 7518 9571 i5ii 3449 5387 7325 9261 1196 3i3i 5o64 6997 0860 3790 4720 66486841 857618768 05020695 3438*362 1 4353|4546 6378,6470 8201 18393 ♦i23o3i6 4666 6617 8567 o5i6 2464 44i9 6358 83o4 0248 2193 4i35 6077 8019 9959 1898 2910 4861 6812 8763 crjii 3659 3983 4912 5390 7245 ?;?? 3io5 5o56 7007 8957 0906 3854 46064801 6553 8498 0443 2387 3837 5775 7713 94549648 1390 1 583 3334 5258 7190 913a io53 35i7 545! 7383 93i5 1346 3176 5io5 7034 8061 0888 28i3 4738 6662 8586 o5o8 4o3i 5960 70o5 9841 1777 3711 5644 7577 9508 1439 7326 9154 1080 3oo6 4931 6855 8778 0700 6747 0637 358i 4534 6466 8407 o347 3286 4325 6163 8099 ♦o35 1970 3904 5837 7770 9701 i63a 3562 5491 7419 9346 1373 3198 5i33 7047 8070 0893 197 196 Dim & Malt. 195 194 193 Num. 1234 56789 1 1 88 i386 1 584 1782 ms. 195 DidEMnh. LOGARITHMS OF NUMBERS Num. 2260 61 63 63 64 65 66 67 68 69 22 70 71 72 73 74 75 76 77 78 79 22 80 8[ 83 83 84 85 86 87 88 89 2390 91 9? 93 94 96 9Z 98 99 23 00 01 02 o3 04 o5 06 07 08 09 23 10 II 12 i3 14 i5 16 17 18 '9 1 2 5 6 7 8 9 354 1084 3oo6 4926 6846 • 8764 3550682 45?? 643 1 ♦ 8345 356 0259 2171 4o83 5994 7965 1277 1469 31983390 5ii853io 7o37|7229 89569148 0874 1066 2791 2982 4707 4098 66226813 85368728 # 9814 357 1723 3630 5537 7443 » 9348 358 1253 3i56 5o59 6961 ♦ 8862 359 076a 2662 456o 6458 o45o 2363 4274 6i85 ♦oo5 1913 3821 5728 7634 9539 1443 3347 5249 7i5i 9052 0952 2852 475o 6648 0641 2554 4466 6376 8096 8287 # 8355 36oo25i 2i46 4o4i 5934 7827 # 9719 36i 1610 35oo 5390 7278 # 9166 362 io53 8544 o44o 2336 423o 6133 0196 2io4 40f2 5918 7824 9729 i634 3537 5440 7341 9242 1142 3o4i 4940 6837 8734 o63o 2525 44i« 63l; o387 2295 4202 6109 801 5 9920 1824 3727 563o 753i 9432 i332 323 1 5i3o 7037 0578 2486 4393 63oo 83o5 0664 2546 6709 # 8593 363 0476 2358 4239 61 30 7090 • 9878 364 1756 3634 55io 7386 * 92609448 365 II 34! i 322 8016 9908 1799 I 3689 5579 7467 9355 1242 3i28 5oi3 8ao5 8024 0820 2715 4609 65o2 8395 0286 2177 4067 5956 7845 9732 1619 35o5 5390 6898 7086 7375 8584 0475 2366 4256 6145 8o34 9021 1808 3694 5579 8781 89709158 io4i 2933 4804 44374615 63o8 8187 ♦066 1944 3o3i 40094 _3oo7!3i95|3382 6872 8751 o63o 25o7 4384 6260 8i36 ♦010 1884 3757 i832 3749 5664 7579 9493 i4o6 3319 523o 7i4i 8859 9o5o 0959 2867 4775 6681 8586 0491 2395 4298 6200 8102 1242912621 2814 4350J4542 4734 6270 6462 6654 8i89'838i|8572 ♦10702990490 2024 3940 2216 4i32 5856 6o48 7771 9685 1598 35io 5421 7332 9241 ♦002 8773 0664 2555 4445 6334 190 38o 5699 7596 r^ 3283 5i77 7070 8962 o854 :^744 4634 6523 0682 2585 4488 6391 8292 0192 2092 5889 7786 7962 9876 1789 3701 56x2 7523 9432 i34i 3249 5i56 7062 8967 2 2 2407 4324 6239 8i54 ♦067 1980 3892 58o3 7714 9633 i533 3440 5347 7253 91 58 0872 1063 2776 4679 658 1 8482 o382 2282 4i8i 6078 7976 765 1 9535 1417 I'M 7060 8939 0817 2695 4572 6448 8323 0197 3071 3944 84ii 0298 2i85 4071 5956 7840 9723 i6o5 3487 5368 7348 9127 ioo5 2883 6635 85ii o385 2258 4i3i 8600 0487 2374 4259 6144 8028 991 1 '794 3675 5556 9872 1767 3662 5555 7448 6771 8672 0572 2472 4370 6268 8i65 ♦061 ro57 385 1 5745 7638 9530 1421 33ii 520 1 7090 8077 o865 2751 4636 6521 7436 93 1 5 1 193 3070 4759 4947 6823 8698 0572 2446 43i8 8216 ♦009 1982 3863 5744 7624 95o3 i38i 3258 5i35 7010 8885 0760 2633 45o5 Num. 7812 9690 1569 3446 5322 7198 9073 0947 2820 4693 012 3 4 5 6 7 8 9 192 191 190 189 188 DifT DiflT.&Mult. Die I J87 2 374 3 56i 4 748 5 935 6 1 1 23 7 1 309 8 1496 9 i683 , ■i( Diir. Sc Molt. I m LOGARITHMS OF NUMBBES. Nniiia ai aa a3 .a4 9.5 26 27 28 29 3i 32 33 34 35 36 3? 38' 39 2340 42 44 46 47 49 a3 5o 5 1 it 53 54 55 56 57 58 59 a36o 61 63 64 65 66 67 68 69 a3 70 71 72 73 74 75 76 T7 78 79 12 3 4 5 6 7 8 9 365 48BO 675.1 • 8622 3660492 4a3o aSdo 4728 6587 « 8445 3690302 2159 .4014 586o 77a«5 5067 0679 548 4416 6284 8i5o ♦016 1881 3746 5609 7472 9334 1 195 3o55 4914 6773 863i o488 7344 4200 6o54 7908 9576976 370 1428 3280 5i3i 6981 • 883o 3710679 2526 4373 6211 8o6i • 372 175. 35o6 5438 7279 • 9120 3730960 271 46j7 6475 83ii 3740147 1983 38i7 565 1 7483 • 9316 375 1 1 47 2077 4807 6636 • 8464 376 0292 21 19 3944 2735 46o3 6471 8337 0203 ao68 19.57 3780 562 a 7464 93o4 ii44 ao83 21 6658 1J7 '4«2 84q5 o33i 2166 4000 5834 7667 9499 i33o 3i6o 4990 6819 8647 0475 23oi 4127 5441 73 1 3 9183 io53 292 a 4t 66^7 8524 0389 2254 3932 5795 76; ' 95ao i38i 95598 158 784 3241 5ioo 6959 8817 0674 253t> 4385 6a4o 8094 8279 8464 9947 55oi 735i 9200 i6i4 .<5'4o3 53 1 6 7166 9015 o863 271 1 4558 64o4 8a49 8434 0278 2123 io4B 2896 474a 6588 7040 9488 1 328 3167 5oo5 684a 8679 o5i5 235o 4i84 6017 785o 9682 i5i3 3343 5173 7002 883o 90407 67 684 4h8 2 7844 9706 1567 3427 5286 7145 9002 OOnJSf 27l5 4571 64a5 5629 7500 9370 1240 3109 4977 44 8710 0576 2441 43o5 6168 8o3o 9892 1733 5472 733<» 9188 1045 2901 4756 661 1 1 32 1084 5686 7536 9385 1233 3o8o 4927 6773 8618 0462 23o6 4149 5901 783a 9672 i5ia 335o 5189 7020 8862 0698 25j3 4367 6201 8o33 9865 1696 3526 5356 7i85 9013 2484 43 10 0657 o84o 2666 449a o3i7 2169 4020 5871 7721 9570 i4i8 3265 5lI2 6957 8802 0647 2490 4333 6170 8016 9856 1696 3534 7210 9046 0882 2716 455 1 6384 8216 ♦o48 1879 3709 5539 7368 9195 1 023 2849 4675 58i<0ji6oo3 76877874 9557 1427 3296 5i63 7o3r 8897 070a 2627 4491 0354 8217 ♦078 1939 37 56; 75i6 9744 i6i4 3482 7217 9083 0949 2814 123o 3o86 4942 6796 86D0 o5o2 2354 4ao6 6o56 7906 9754 i6o3 345o 5296 7i4a 8987 o83i 2674 4517 6359 8200 ♦o4o 1879 3718 7393 9230 io65 2900 4734 6567 84oo 023 1 2062 3892 5722 755o 9378 I205 3o32 4857 6190 8001 9931 1801 3669 5537 74o4 9370 ii35 3ooo 4864 654o 6727 4677 84o3 0264 2125 3985 5844 7702 i4i< 3272 5i27 6981 8835 0688 2540 4391 6241 8091 99^9 1787 3635 5481 7327 9171 toi5 2859 4701 6543 8384 0224 ao63 390a 5740 7577 94i3 ]a49 3o83 4917 6377(6564 8248 ♦118 1087 85898775 5724 7591 9457 l322 31863373 5o5o 6913 o45b 23 ti 4l7l 6o3o 7888 9745 1602 3458 53i3 7167 9020 0873 2725 4576 6426 8275 ♦124 197 si? 75ii 9356 1200 3o43 4885 6727 8568 0408 2247 4086 5924 7761 1 4 3267 5ioi 67506934 8583 8766 04140598 224512428 407514258 5905 6088 7733 9561 1 388 32i4 5o4o 3856 4043 8435 o3u5 2174 5910 7777 9643 i5o8 o636 2497 4357 6215 8074 9931 1787 3643 5498 7352 9205 939 io58 454a 6401 8259 ♦117 1973 2910 4761 6611 846o o3o9 ai57 4oo4 7696 9540 1 384 3227 5070 6911 8752 059a a43i 4270 6107 7944 9780 1616 345o 5284 7117 7916 9744 1 571 3397 5222 0781 261 I 444i 6270 8099 9926 1753 3570 54o5 3829 5683 7538 I 1243 3095 4946 6796 8645 0494 2342 4189 6o35 7880 9725 t569 34 1 a 5254 7005 8936 0776 2615 4453 6291 8128 9964 3634 5467 7300 8949 9T 3a 0964 2794 4624 6453 8282 1936 3762 5587 DiC 1234 56789 187 186 i85 i84 i83 Dim DiO* li. Mult. I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 188 376 564 752 940 1 1 28 1 3 16 i5o4 1692 186 372 558 744 930 1 1 16 i3o2 1 488 1674 i85 370 555 740 925 mo 1295 1480 iG65 i84 368 552 736 920 iio4 1288 1472 i656 i83 366 549 732 915 1098 1281 «464 1 647 Biir. Sl Molt. LOGARITHMS OF NUMBERS. 27 Num. 2380 81 82 83 84 85 86 87 88 89 2390 91 9? 93 94 95 96 97 98 99 2400 01 02 o3 04 o5 06 07 08 09 24 10 II 12 i3 14 i5 16 17 18 »9 a42o 21 22 a3 24 a5 a6 27 a8 39 a43o 3i 3a 33 34 35 36 37 38 39 01234 56789 Num. 376 5770 7594 * 9418 377 1 240 3o63 4884 6704 * 85348706 378034305 2 5 2161 2343 3979 5796 7612 « 9427 379 i24r 3o55 4868 6680 • 8493 380 o3o2 2112 3922 5730 7538 # 9345 5952 7776 9600 1423 3245 5o66 6886 38i ii5i 2956 4761 6565 8368 382 0170 1972 3773 5573 7373 • 9'f7i 3830969 2767 4563 6359 81 54 * 9948 384 1741 3534 5326 4i6i 5977 7793 9608 1423 3237 5o49 6862 8673 o484 6i35 7959 9782 i6o5 3427 5248 7068 8888 0707 2525 4342 61 59 7975 9790 i6o4 3418 523i 7043 8854 o665 7117 # 8908 3850698 2487 4275 6o63 785o # 9636 386 142 1 3206 4990 6773 # 8555 387 0337 2118 4l02 59II 7718 9525 i33i 3i37 4941 6745 8548 o35i 2l52 3953 5753 7553 9351 1 149 2946 4743 6538 8333 ♦127 1921 3713 55o5 2293 2474 7207 9087 0877 2666 4454 6241 8028 9814 1600 3384 5i68 6951 8733 o5i5 2296 4283 6092 7899 9706 l5l2 33 1 7 5l22 6926 8739 o53i a332 4i33 5933 7732 63i7 8i4i 9965 1787 3609 543o 735o 9070 0889 2707 4524 634 1 8i56 9971 1786 3599 54i2 7224 9035 o846 2655 4464 6272 8080 9887 9531 1329 3i26 4922 6718 85i3 o3o7 2100 3893 5684 1693 3498 53o2 7106 8909 071 1 25l2 43 13 6ii3 6499 8333 ♦i47 1969 3791 56i2 7432 9252 1071 2889 4706 6522 8338 ♦i53 1967 3780 5593 74o5 9216 1027 2836 4645 6453 8261 ♦067 1873 3678 5483 7286 9089 0891 2693 4493 6293 79128092 9711 1 509 33o6 5l02 6897 8692 0486 2279 4072 5864 7476 7655 9266 io56 2845 4633 6420 8207 9993 1778 3563 5346 7129 8912 9445 1235 3o23 4812 6599 8386 ♦171 1957 3741 5525 73o8 9090 06930871 2474 I 1688 3485 5281 7077 8871 o665 459 425i 6043 7834 9624 i4i3 3202 4990 6778 8564 o35o 2i35 3919 5703 7486 9268 1049 2652I2830 6682 85o6 0329 2 1 52 3973 5794 7614 9434 1252 3070 4887 6704 85i9 o334 2i48 3962 5774 7586 9397 1208 686417047 86888871 3oi7 4826 6634 844 1 0248 o5ii 2334 4i55 5976 7796 9616 1434 3252 5069 6885 8701 o5i6 233o 4i43 5956 7767 9578 1389 3198 5oo7 68i5 8622 0428 2o54 2234 241 5 3859 4o39 4220 5663 5843 6024 7467 7647 7827 9269 9450 9630 0694 25i6 4338 61 58 7978 9798 1616 3434 525i 7067 8882 0697 25ll 4324 61 37 7948 9759 1570 3379 5i88 6995 88o3 0609 IO7I 1252 2873 3o53 4673 6473 8272 ♦070 1868 3665 5461 7256 9o5i 0845 2638 443o 6223 8oi3 9803 1592 338 1 5169 4853 6653 8452 02 5o 2o48 3844 564o 7436 9230 1024 2817 6956 8743 0528 23x4 4098 588i 7664 9446 1228 3oo8 6401 8192 9982 1-771 356o 5348 i432 3233 5o33 6833 8632 o43o 2227 4024 5820 7615 9410 I203 2996 9580 1 383 3176 4609 4789 4968 658o 8371 ♦161 T950 3739 5527 73i4 9100 0886 2670 4455 60606238 7i35 8921 0707 2492 4276 7229 9053 0876 2698 4520 634o 8160 9979 1798 36i6 5432 7249 9064 0879 2692 45o6 63i8 8i3o 9940 1750 356o 5368 7176 8983 0790 2595 4400 6204 8007 9810 1612 34x3 52x3 701 3 88x2 06x0 2407 4204 6000 7795 74x2 9235 io58 2880 4702 6522 8342 ♦ 161 1980 3797 56x4 743o 9245 1060 2874 4687 6499 83x1 ♦121 X931 3741 5549 7357 9x64 0970 2776 458o 6384 8x88 9990 1792 3593 5393 7193 8992 0790 2587 4383 6179 7974 3355 5x47 6759 6938 7842 9624 x4o6 3x86 802 X 9803 1 584 3364 855o o34o 3129 3918 5705 7492 9279 1064 2849 4633 48x1 64x6 8x09 9981 1762 3542 8729 o5i9 23o8 4096 5884 7671 9457 X243 3027 6595 8377 ♦159 1940 3720 01234 56789 Diff. 182 181 180 179 178 Diff. Diff. A, Molt. I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 i83 366 549 732 915 1098 1 28 1 i464 1647 i8a 364 546 7a8 910 1092 1274 1456 i638 181 362 543 724 905 1086 1267 i448 1629 180 36o 540 720 900 1080 X260 1 440 1620 I 179 a 358 3 537 4 716 5 895 6 1074 7 1253 8 1432 9 161 1 I 178 a 356 3 534 4 712 5 890 6 1068 7 1246 8 1424 9 1602 Diff. & Mttlt. 28 LOGARITHMS OP NUMBERS. .Nnm. 4i 4:2 4J 44 46 4? 4o 49 3450 5 1 54 55 5- 0123 4 56789 2 Ml 59 9460 61 6a 64 65 66 67 66 69 a4 to 45174692 6968 6443 80188193 • 97679949 395 i5i6 1691 3264 3439 Soil 5i86 6758 6939 • 85048678 396 0949 0493 3t 5480 7993 • 8964 3970705 9446 4i85 4254 8566o34 2168 3912 5655 7397 9139 0880 9690 4359 7819 3i44 4439 6a 1 9 71 59246098 766317836 73a 1 9079 o83o 259a 4348 61 o3 7857 9611 1 364 3ii6 4867 6618 8368 ♦117 1866 36i3 536i 7107 8853 0598 2349 4086 5829 757 931 3 io54 2794 4533 6272 8010 i545 3391 5097 6879 8646 0490 2193 3965 5736 75of 9276 1046 2814 4582 6349 8ii5 9881 1646 34 io 5173 6936 8608 0459 2290 5739 7407 9255 101 a 2768 4594 6978 8o33 9786 1539 3991 5o42 (i793 8543 0292 ao4o 3788 5535 7989 9097 0779 25i7 4260 6oo3 7745 9487 1998 9968 4707 6446 8184 4610 6389 8168 9946 1793 3499 5273 7o5o 8894 0597 9370 4149 5913 7684 9453 I9a3 2991 4759 65aS 8299 ♦o57 189a 3586 5349 7119 8874 0635 2396 4i55 5914 7673 9430 1 187 46^9 6454 8208 9961 1714 3466 5a 1 7 6968 8718 0467 a9i5 3963 5710 7456 9909 0947 9691 4435 6177 7920 9661 1 402 3i49 4881 6620 8358 4788149(16 6567 8346 ♦ 193 1900 3677 5452 7997 9001 0774 9547 4319 6090 7861 96309807 1399 3 1 68 4935 6709 8468 0934 1998 3702 5596 7988 9o5o o8ii 9572 433 1 6090 7849 9606 1 363 3119 4875 6699 8383 ♦ I 37 1889 364 1 5392 7143 8893 0649 3390 4j38 5885 7631 9376 I19I 2865 4609 6352 8094 9835 1576 33i6 6794 853 1 6745 8524 o3oi 2078 3854 74o4 9178 0959 9794 4496 6267 8o38 1576 3344 5i 12 687 864 o4io 2175 3939 5702 7464 99969409 5987 3748 4507 6266 8024 9782 1 53^ 3203 68o5 o3i2 ao64 38i6 5567 73i8 9068 0817 a 565 43i9 6059 78oD 9551 1296 3o4o 4783 6526 8268 ♦009 1750 3490 5279 6967 8705 5i44 6923 8701 0479 9256 4o39 58o7 7589 4909 5985 7759 9356 9533 i3o6 1199 a9oa 4673 6444 8215 9984 1753 35 a I 5989 7o5d 8891 0587 235i 4ti5 5878 7641 ii63 9934 4683 6449 8aoo 9958 1714 3470 5a96 6980 85598734 0487 9940 3991 5749 7493 9949 0991 9740 4487 6234 7980 5392 7101 8879 0657 2433 3079 485o 6621 8302 ♦ 101 1930 3698 5465 7232 8998 0763 2528 4291 6o55 7817 9578 1 339 3 100 4859 6618 8376 ♦ i33 1890 3646 5401 7i56 8909 0009 94 1 5 4«67 5918 7668 9417 1166 9914 4662 6409 8i55 97259000 1470 1645 3a i4 3389 4958|5i32 6700I6874 8442|86i6 oi83;o357 1924120c 366413838 54o3i5577 7i4i 73i5 8879'9o53 55oo 7279 9057 o834 261 1 4387 6162 7937 9711 1484 3256 5o98 6798 8569 o338 2107 3875 5642 7409 9175 0940 2704 4468 623 1 7993 9755 i5i5 3276 5o35 6794 8559 o3o9 2060 3891 5577 733 1 9085 o838 9590 4349 6093 7843 9599 i34i 3089 4837 6583 8329 ♦074 1819 3563 53o6 7049 8790 o53i aa7a 4oii 5750 7489 9226 01234 5 6769 DiflT. IW 177 176 175 174 Dur. Diir.& Malt. 1 a 3 4 5 6 7 8 I a 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 9 178 356 534 712 890 1068 1246 1424 1602 J 77 354 53i 708 885 1069 1939 i4i6 1593 I 176 a 35a 3 598 4 704 5 880 6 io56 7 ia3a 8 i4o8 9 i584 175 35o 5a5 700 875 io5o laaS i4oo 1575 174 348 522 696 870* io44 1218 1399 i566 Diif. Ml Mult. LOGARITHMS OF NUMBERS. 29 Num. 2300 01 02 o3 o4 o5 06 07 08 09 aS 10 II 19 i3 j4 i5 16 n 18 19 95 20 91 29 23 24 25 a6 27 a8 29 a5 3o 3i 3a 33 34 35 36 37 38 39 a5 4o 4i 4^ 43 44 45 46 47 48 49 25 5o 5i 52 53 54 55 56 57 58 59 Nam. 12 3 4 5 6 7 8 9 # 9400 9574 398 ii37 i3ii 2873 3o47 4608 4782 6343 6517 80778251 # 981 1 9984 3991543 1717 3275 3448 5007 5i8o 6737 6010 * 84678640 40001960369 1925 2098 3653 3825 538o 5553 7106 7279 « 8832 9005 4oi 0557 0730 298a a454 4oo5 4178 5728 5901 745 1 7633 * 9173 9345 409 0894 1066 2614 2786 4333 45o5 6o52 6224 7771 7942 • 94889660 403 i2o5 1 377 2921 3093 4637 48' 6352 65 8066 8237 # 97809951 404 1492 1664 32o5 3376 4916 5087 6627 6798 8337 85o8 405 0047 0218 1755 1926 3464 3634 5171 534a 6878 # 8584 406 0289 1994 3698 5402 5572 7io5 7275 * 88078977 407 o5o8 0678 2209 2379 3909 407 56o8 577 7307 7477 ♦ 90059175 408 070310873 9748 1 484 3220 4956 6690 8424 ♦ i57 1890 3622 5353 7083 88i3 0542 2271 3998 5725 7452 9177 0902 2oa6 435o 6073 7795 9517 ia38 aoSS 4677 6396 8ii4 9832 1549 3265 4980 6695 8409 ♦ ia2 1 835 3547 5258 6969 8679 o388 2097 38o5 55ia 7049 875! 0460 2i65 9921 1 658 3394 5129 6864 8597 o33i 2o63 3795 5526 7256 8986 0715 2443 4171 5898 7624 9350 1075 2799 4522 6245 7967 9689 i4io 3i3o 4840 6568 8286 ♦oo3 1720 3436 5i52 6866 858o 0294 2006 3718 5429 7140 885o 0559 2268 3976 5683 72197390 8925 9096 o63o 0801 2335 25o6 3869 4o39 4209 5742 7445 9147 0848 2549 5948 7647 9345 1042 5913 7615 9317 1018 2719 42494419 " 6118 7817 951 5 laia ♦095 i83i 3567 53o2 7037 8771 o5o4 2236 3968 5699 7499 9159 0888 2616 4344 6071 7797 952a 1947 9971 4695 6417 8140 9861 1 589 33oa 5o9i 6740 8458 0175 189a 36o8 5323 7o38 875a o465 9177 3889 56oi 73ii 9021 0730 2439 4i47 5854 7560 9266 0971 2676 438o 6o83 7786 9487 1189 2889 4589 6288 7987 9684 i389 0269 2oo5 3741 5476 7210 8944 0677 2409 4i4i 5872 7602 9332 1061 2789 45i6 6243 9695 1420 3i44 4867 6590 83i2 ♦o33 1754 3474 5193 6912 863o o347 2o63 3779 5495 7201 892, o636 2349 4o6i 5772 7482 9192 0901 2610 4317 6025 773 1 9437 Il42 2846 455o 6953 7956 9658 1359 3o59 4759 6458 81 56 9854 i55i 0442 2179 39r4 5649 7384 91 17 o85o 2583 43i4 6045 7775 95o5 1234 2962 4689 64x6 8142 9867 1592 33i6 5o39 6762 8484 0205 1926 3646 5365 7o83 8801 o5i9 2235 3951 5666 738 1 9094 0807 2520 4232 5943 7653 9363 1072 2780 4488 6195 7902 9607 l3l2 3017 4721 6424 8126 9828 1529 3229 4929 6628 8326 ♦024 1791 0616 2352 4088 5823 7557 9991 1024 2756 4487 6218 7948 9678 1 406 3 1 34 4862 6588 83i4 ♦o4o 1764 3488 5912 6934 8656 o377 2098 38i8 5537 7355 8973 0690 2407 4l22 5838 7552 9266 0979 3091 44o3 61 14 7824 9534 1243 2951 4659 6366 8072 9778 1 483 3187 4891 6594 8296 9998 1699 3399 5o. 67' 8496 0194 1 891 0790 2526 4261 5996 773i 9464 1 197 2929 4660 6391 8121 9851 1 579 33o7 5o35 6761 8487 0212 1937 366i 5384 7106 8828 0549 2270 3990 5709 7427 9145 0862 9578 4294 6001 772. 9437 ii5o 2862 4574 6285 7995 9705 i4i4 3X22 483o 6537 8243 9948 i653 3358 5o6i 6764 8466 ♦ 168 X869 3569 5269 6968 8666 o363 2060 0963 2699 4435 6170 7904 9637 1370 3ioa 4834 6564 8294 ♦02,3 1752 3480 5207 6934 8660 o385 2109 3833 5556 7279 9000 0721 9442 4169 588i 7599 9317 io34 2750 4465 6180 7895 9608 l32I 3o33 4745 6456 8166 9876 1 585 3293 5ooo 6707 84i3 ♦ 119 1824 35a8 523i 6934 8637 o338 2039 3739 5439 7x37 8836 o533 aa3o Diff. 3 4 5 6 7 8 9 173 172 171 170 Diflf. & Malt. I 2 3 4 5 6 7 8 Diff. I 2 3 4 5 6 7 8 I 9 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 I 2 3 4 5 6 7 8 174 348 599 696 870 io44 1218 1392 1 566 173 346 519 io38 1211 1 384 1 557 179 344 5i6 688 860 io3a iao4 1376 i548 171 349 5i3 684 855 ioa6 1197 i368 1539 170 340 5io 680 85o 1090 i36o i53o 5o7 676 845 ioi4 ii83 i359 l591 Diff. & Mait. dO' LOGARITHMS OF NUMBBES. Ifuin. 6i 6it 63 64 Ol 67 4|tf 69 a570' 71 7a 73 74 7'5 76 "JO 79 a5 8o 81 82 83 85 86 87 '88 89 35 9O' 91 9a '93 q4 JF"f 95 96 97 98 99 a6oo 02 o3 o4 o5 06 07 08 09 a6io SI i3 i4 i5 16 .17 19 1234 56789 408 a4oo 4096 5791 7486 • 9180 4090874 256- 4'i 59 5950 7641 • 9331 4lO 1021 2710 43: 6085 7773* • 9459 4ii ii44 2829 45i3 6197 7880 • 9562 4i2 1344 2925 46o5 §285 • 9543 4i3 i3ai 2998 ,4674 IJ'HiJJKlJ' 8025 • 9700 4i4 1 374 3047 47.9 »3 • 9733 4jS i4o4 3073 4742 64io 8077 • 9744 4i6 i4io 3076' 474 1 2560J2730 42654433 5^1 6i3o 76567825 93509519 ia|3 1212 2736 4428 6119 7810 9500 1190 2878 4567 6254 7941 96'i7 i3i3 2998 4682 6365 8o48 973 1 ]4l2 3093 4773 6453 8i32 981 1488 3i65 484a 65 1 8 8193 9867 i54i 32i4 4887 29093078 46044774 3a48 3417 1 382 3074 4766' 6458 2905 45o7 6288 79798148 83i7 6469 8164 9858 i55i 3243 4935 96699838 I ■Jf^jVJi 3o47 4735 1 527 ♦007 1696 6423 659a 3216 3385 4904 5073 81 10 9796 1481 3i66 485o 6534 8217 6559 6726 8230 8397 9901 1570 3a4o 4909 6577 8244 9011 1577 3242 4907 6571 64o5 806918235 • 9733,9898 417 1394 1 56o 3o56322a 47174883 63776543 8o37 8ao3 • 96969662 4i8 1 3551 1 52 1 I 3a6i 4^41 6631 83oo i656 Sooo 6685 836o ♦a35 1708 338 1 5o54 ♦068 1737 3407 5075 6743 84n ♦077 1743 3409 5074 6738 84oi «o64 1726 3388 5o49 836o ♦028 1687 35oi 5.177 6853 85a8 0202 1876 3549 5221 6760 8447 ♦ i33 1818 5187 6870 8553 0235 3597 8278 i65o 5oi9 6702 8385 ♦067 1748 3439 5109 6789 ( 8468 f ♦i46o3i4 1824 5277 57 i36 0235 1904 3574 5a42 6910 8577 0244 1910 3575 5a4o 6904 023l 1893 3554 52 1 5 67096875 8535 oio4 i853 1991 3668 5345 7020' 8695 o3o9 2043 3716 5388 7060 8731 o4oa 3071 3741 5409 7077 8744 o4ii 3077 3743 5407 7071 8734 o3o7 2059 3720 538i 7041 8701 o36o 2018 mrm^mjf 6639 8333 ♦027 1720 341 3 5io5 671 84 0176 1 865 3554 5242 6929 7098 8616 o3oi 1987 3671 5355 5ii3 6808 85o3 0196 1889 3582 5274 6965 8655 o345 2o34 3723 5410 7o39|7ao7 8721 o4o3 2o85 3765 3587 5283 6978 867a o366 2059 375 5443 7i34 o5i4 22o3 3891 5579 7260 8953 0639 2324 4008 5692 7375 88909058 8784 0470 2 1 55 384o 3324 5445 71 a5 8804 0483 3i59 55i2 7188 8863 0537 2210 3883 5556 7227 8898 o56o 2238 3907 5576 7244 8 0377 >577 3343 3908 5573 7237 8900 o563 2225 3886 5547 7207 8867 0526 3i84 0571 3253 56i3 7393 8971 0049 2327 4oq4 568o 7355 9o3o 0704 2378 4o5i 5723 7394 9065 0736 34o5 4074 5743 74 10 9077 0744 a4io 4075 5739 74o3 0740 2431 4 1 01 5781 7461 9139 0817 2495 4171 5847 7523 9!97 0872 2545 4218 58oo 75oi 9233 3 2 3757 5452 7147 884 1 o535 2228 3920 5^12 73o3 8993 o683 237a 4060 5748 7435 9121 0807 2492 4177 586o 5949 7629 9307 0985 2662 4339 6oi5 7690 9365 1039 2712 4385 6o57 7729 9399 1070 2739 44oB 6076 7744 9411 1077 2743 4408 59066072 090 237 4a4i 5909 7^77 9244 091 1 3576 4241 7570 9067 9333 0729 2 391 4o53 5713 7373 9033 0692 235o o8o5 2557 4219 9'99 0857 a5i6 3026 5622 7317 901 1 0704 23o7 4089 5781 747a 9162 o852 2541 4229 5?' 7 7004 9390 0976 2661 4345 6029 7544 9226 0908 2589 4269 4437 7713 9394 1076 3757 Die 7736 9399 1063 2734 4385 58796045 7539 7705 9365 I033 3681 6117 779^ 9475 If 53 383o 4507 6183 7858 9532 1206 2880 4553 6334 7I 9i 1337 2906 4575 6243 7911 9577 1344 3909 4574 6339 7903 9565 1228 2890 455i 621 1 7871 9531 1 189 a847 01234 56 7 89 169 168 167 166 DiC tc MulU I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 9 DiflT. 170 340 5io 680 85o loao i36o i53o 169 338 5o7 676 845 1014 ii83 1 35a l53I I 168 a 336 3 5o4 4 67a 5 840 6 1008 7 1176 8 i344 9 i5ia I 167 a 334 3 5oi 4 668 5 835 6 looa 7 8 1 169 i336 9 i5o3 I 166 a 33a 3 4 ^ 5 83o 6 7 1 103 8 i338 9 1494 Difi*. &. Malt. LOGARITHMS OF NUMBERS. 31 Nit in. 2G20 21 22 23 24 25 26 27 28 29 26 3o 3i 32 33 34 35 36 37 38 39 2640 4i 4a 43 44 45 46 47 48 49 26 5o 5i 5a 53 54 55 56 57 58 59 2660 61 62 63 64 65 66 67 68 69 2670 71 72 73 74 75 76 77 78 79 Num. 12 3 4 5 6 7 8 9 418 3oi3 4670 6327 7983 ♦ 9638 419 1293 2947 4601 6254 7906 # 9557 420 1208 2869 4509 61 58 7806 # 9454 421 IIOI 2748 4394 6039 7684 ♦ 9328 4220972 301 5 4257 5898 7539 • 9180 423 0820 2459 4097 5735 7372 # 9009 4240645 2281 3916 555o 7i83 * 8816 4^5 0449 2081 3712 5342 6972 # 8601 426 023o i858 3486 5ii3 6739 8365 3 1 791 3344 4836 5oo2 6493 6658 8i48 9804 3ii3 4766 6419 8071 9723 1374 3o24 4674 6323 7971 2913 4558 6204 7848 94^ IK 2779 427 4421 6o63 77o3 9344 0984 2623 4261 5899 7536 9173 0809 2444 4079 5713 7347 8980 0612 2244 3875 55o5 7i35 8764 0393 2021 3648 5275 6901 8527 ♦ l52 1776 3400 5o23 6646 8268 9737^9889 3238 4861 6484 8106 83i4 9969 1624 3278 4931 6584 8236 9888 1539 3189 4838 6487 8i36 9784 i43i 3077 4723 6368 8oi3 9657 i3oo 2943 4585 6237 7868 35io 5167 6824 848o 3676 5333 698^ 864 2 9508 9672 "47 2786 4425 6o63 7700 9336 0972 2608 4242 5877 75io 9143 0775 2407 4o38 5668 7298 8927 o556 2184 38ii 5438 7064 8690 o3i5 1939 3563 5i86 6808 843o ♦o5i i35o3oo 1789 3443 5097 6749 84oi ♦o53 1704 3354 5oo3 6652 83oi 9?48 1595 3242 4888 6533 8177 9821 1 465 3107 4749 6391 8o3 i3ii 2o5o 4589 6226 7864 9500 ii36 2771 44o6 6o4o 7673 9306 0038 570 4201 583 1 7461 9090 0719 2347 3974 56oi 7227 8852 0477 3IOI 3725 5348 6970 8592 02l3 1955 3609 5262 6915 8567 0218 1869 3519 5i68 6817 8465 ♦ii3 1760 3406 5o52 6697 8342 9986 1629 3271 4913 6555 8196 9836 1475 3ii4 4753 6390 8027 9664 i3oo 2935 4569 6203 7837 9469 1 102 2733 4364 5994 7624 9253 0881 2509 4i37 5763 7389 9oi5 0639 2264 3887 55io 7i33 8754 0376 3842 5499 7155 8811 o466 2120 3774 5427 7080 8732 o383 2o34 3684 5333 6982 863o 0278 1925 3571 5217 6862 85o6 ♦ i5o 1703 3436 5078 6719 836o ♦000 1639 3278 4916 6554 8191 9837 1 463 3098 4733 6367 8000 9633 1265 2896 4527 61 57 7787 9416 1044 2672 4299 5926 7552 9177 0802 2426 4o5o 5672 7295 8917 o538 4007 5664 7321 8976 o63i 2286 393^ 559 7245 8897 o548 2199 3849 5498 7M7 8795 0442 2089 3736 538i 7026 8671 o3i4 1957 36oo 5242 6883 8524 0164 i8o3 3442 5o8o 6718 8355 9991 1627 3262 4896 653o 8i63 9796 1428 3o59 4690 63 20 7950 9579 1207 2835 4462 6088 7714 9340 0964 2588 4212 5835 7457 9079 0700 4173 583o 7486 9142 0797 245 1 4io5 5758 74to 9062 0713 2364 401 4 5663 73i2 8960 0607 2254 3900 5546 7191 8835 0479 2122 3764 5406 7047 8688 o328 1967 36o6 5244 6881 85i8 ♦i54 1790 3425 5o6o 6693 8327 9959 1391 3222 4853 6483 8ii3 9742 1370 2998 4625 6251 7877 9502 1 1 27 2751 4374 5997 7619 9241 0862 4339 5906 7652 9307 0962 2616 4270 5o23 7375 9227 0878 2529 4179 5828 7477 9125 0772 24l< 406 5710 7355 8999 0643 2286 3928 5570 72 1 1 8852 0492 2l3l 3770 5408 7045 8682 o3i8 954 3589 5223 6857 8490 ♦122 1754 3385 5oi6 6646 8276 9904 i533 3i6o 4787 64r4 8039 9665 1289 2913 4536 6159 7781 94o3 1024 45o5 6161 7817 9473 1128 2782 4435 6088 774i 9392 1043 2694 4344 5993 7641 9289 37 23»3 4229 5875 7520 9164 0807 245o 4093 5734 7375 9016 o656 2295 3933 5571 7209 8846 0482 2117 3752 5386 7oao 8653 0286 1917 3549 5179 6809 8439 ♦067 1695 3323 4950 6576 8202 9827 1452 3076 4699 6321 7?44 9S65 1186 1 3 4 5 6 7 8 9 DifT. Diff. & Mult. i65 i64 i63 Dur. I 2 3 4 5 6 7 8 I a 3 4 5 6 7 8 166 332 498 664 83o 996 1 163 1 338 1494 I i65 2 33o 3 4 495 66d 5 •825 6 7 ,m 8 1 320 9 i485 I t64 2 3a8 3 4 493 656 5 820 6 984 7 ii48 8 l3l2 9 1476 I i63 2 326 3 489 4 653 5 8i5 6 978 7 ii4i 8 i3o4 9 1467 162 334 486 648 810 973 ii34 T396 i458 Diff. & Mult —I B * '»*— ■ ■■' ■ ■"»■ ■I** m LOGARITHMS OF NUMBERS. Mm Si 83 &I 85 'CUtil 87 88 '89 1690 91 92 93 94' 95 96 97 98' 99 1700 01. o3 06 07 09 37 10 1:3 1 4 i5 16 17 18 19 27 20' 21 m m '24 25 2^' 27 28 29 2730 3i 3) 35 36 37 38 39 Mum. 12 3 4 5 6 7 8 9 4iWi348ii5io 2968 3 1 3o 4588 4750 62076369 78257987 • 9443 429 1060 2677 4293 59086070 7523 • 9137 4300751 2364 3976 5588 7199 • 8809 43i 0419 2029 3638 5246 6853 8460 4320067 9605 i222 2838 4454 1673 3278 4683 6487 8090 • 9693 433 1 295 ■2897 4498 6098 7698 • 9298 434 0896 2495 4092 5689 728;^ • 888' I ■7684 9298 0912 2525 4i37 5749 7360 8970 o58o 2190 3798 5407 7014 8621 0227 i833 3438 >x)467 1875 341 3 4794 4948 5878 74 16 8954 o338 0492 ~ 2039 5ioi i4i3;i567 3i07 4647 6186 63396483663667906943 7864 8018 9552 1086 2619 4i52 5684 72i5 8746 0377 1807 3953 44q3 6o3a 7570 9108 0646 3i83 3719 KnfiK 453 3466 3998 7063 8593 453 01 34 i654 3i83 3336 4712 4865 6341 77601792 « • 93969449 454 0833 0975 2349 ^^^ ,3875 4037 54oo 5552 6924 7077 8449 ^^* • 9973 ♦! 25 455 1495 1647 " 3170 8171 9705 1339 3773 43o5 5837 7369 7724 926a 07' 23 3873 5255 5408 8335 2936 4458 DOOO 7522 89009053 o43o i960 6394654666996853 3489 5oiB o583 aii3 364a 5171 3oi8 4540 469a 6061 758a • 9ioi 456063a 3142 62i3 7734' 8074 9601 I I 38 3654 4180 5705 7229 8753 0277 1800 3322 4844 6365 2393 8478 ♦OI3 1 546 3079 4611 6143 7675 9206 0736 3266 3795 53a4 8337 9754 1281 2807 4333 5857 7382 8906 0429 1952 3474 4996 65i7 07740926 3445 838o 9907 1 433 3959 4485 6010 7534 9o58 o58i aio4 ..3637 5i48 6670 788680388190 94069558 1078 2597 9710 i23o 2749 26662821 •Jf ^gf "Jf "Xlf 7008 8639 0180 1721 3261 4801 634o 7878 9416 0953 3490 4oa6 556a 7097 863a 0166 l^ 3a33 4765 6297 7828 9359 0889 3419 3948 5477 7oo5 8532 ♦059 i586 3ll2 4637 6i6a 7687 5710 7252 8793 o334 1875 341 5 4954 6493 8o32 9570 4216 5766 73i5 8864 o4i2 1960 3507 5o54 6600 8i45 2778 4321 5864 7406 8948 4371 5921 9019 056707 aii5 3663 5208 76 26 6076 7470 76a5 9174 22 2269 38i6 5363 67546909 82998454 9844 1389 2932 4475 6018 7560 9102 0489 0643 2029 21 83 3569 3733 5 108 5262 66476801 81868339 9723 9877 i4i4 2951 4487 1 361 2797 4333 74o4 8938 0472 2006 5869I6022 1 107 2644 4180 5715 7250 8785 o3i 1 85 3385 4918 645o 7981 95 1 3 1043 2572 4ioi 563915782 3159 5071 66o3 8i34 9665 1 195 3725 4a54 4: 3087 463o 6173 77*4 9256 0707 a3i7 3877 5416 6955 8493 *o3i i568 3io4 4640 6176 7711 9245 0779 33l2 3845 52i4 5377 67566909 Dim i55 7557 9092 0626 7i5tt 8685 0212 1739 3264 4790 63i5 7839 73io 8838 o365 1891 3417 4942 6467 799 8287 9818 i348 2878 44o7 5935 7463 8990 o5i7 ao44 3570 844o 9971 i5oi .3o3o 4559 6088 7616 9143 0670 2196 3722 50955247 6620 6772 8144 921093539515 0734108861 1 o38 96689820 2257 3779 2409 3931 5453 6974 256i 4o83 56o5 8296 1 191 27i3 4235 5757 7278 682269747126 83428494864618798 9862 #014 0166 o3 1 8 i38a 1 534! 1686 1 838 3901 i3o53 3ao5 3357 i343 3865 4388 591*9 743o 8950 0470 35o8 1234 56789 i54 i53 Diflr.4bMuH. 1 5a I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 9 DiiT. i56 3l3 468 634 780 936 »«93 1348 i4o4 t 1 55 2 3io 3 465 4 620 5 775 6 930 7 io85 8 1240 9 1395 I i54 3 3c>8 3 463 4 616 5 770 6 924 7 1078 8 1233 i386 i53 459 613 765 918 1071 1234 1377 I l53 3 3o4 3 456 4 608 5 760 6 913 7 io64 8 I3l6 9 1 368 DiflT. k. Mult. LOGARITHMS OF NUMBERS. 35 Num. 2860 61 6a 63 64 65 66 67 68 69 2870 71 72 73 74 75 76 77 78 79 2880 81 82 83 84 85 86 87 88 89 2890 9' 91 94 96 97 98 99 3900 01 03 o3 04 o5 06 07 08 09 29 10 II 13 i3 i4 i5 16 17 18 '9 Num. 12 3 4 5 6 7 8 9 456 3660 5179 6696 8213 * 9730 457 1 246 2762 4277 5791 73o5 # 8819 458 o332 1844 3356 4868 6378 7889 * 9399 4590908 2417 3925 5433 6940 8446 # 9933 46oi458 3963 4468 5972 7475 # 8978 46io48i 1983 3484 4985 6486 7986 ♦ 9485 4620984 2482 3980 5477 6974 8470 * 9966 463 i46i 3956 445o 5944 7437 * 8930 464 o4a2 1914 34o5 4895 6386 7875 * 9364 465o853 234i 38i2 533o 6848 8365 9882 1398 2913 4428 5943 7457 8970 o483 5019 653o 8o4o 9550 1059 2567 4076 55d3 7090 8597 ♦io3 1609 3ii4 4618 6122 7626 9129 o63i 2i33 3634 5i35 6636 81 36 9635 ii34 2632 39644116 548215634 7000 85i7 ♦o33 1 549 3o65 458o 6094 7608 9122 o634 2147 3659 5170 6681 8191 9701 1210 2718 4226 5734 7241 8748 0254 1759 3264 4769 6273 7776 9279 0781 2283 3785 5285 6786 8285 9785 1284 2782 7i52 8660 oi85 1701 3216 4731 6246 7760 9273 0786 2298 38io 5321 6832 8342 9851 i36i 2869 4377 5885 7392 8898 o4o4 1910 34i5 491 642 7926 9429 0932 2433 3935 5435 4i3o 562- 7124 8620 ♦116 1611 3io6 4600 6093 7587 9079 0571 2o63 3554 5o45 6535 4279 5777 7273 8770 0265 1760 3255 4749 6245 7736 9228 0720 2aia 3703 5194 6684 80348173 95139662 1 003 3490 ii5i 2639 6936 8435 9935 1433 2932 4429 5926 7423 891 041 1910 3404 4898 6392 jm 9378 0870 236i 3852 5343 6833 8322 981 1 1209 2787 4268 5786 73o3 8820 o337 i853 3368 4883 6397 7911 9424 0937 2449 3961 5472 6983 8493 ♦002 i5ii 3020 4528 6o36 7542 9049 o555 2060 3565 5070 6573 8077 9579 1082 2584 4o85 5585 7086 Iii585 ♦o85 1 583 3o8i 4579 6076 7573 9069 o564 2059 3554 5o48 654i 8o34 9527 1019 25lO 4ooi 5493 6981 8471 9960 1 448 2936 4420[457i|4723 5938 7455 8972 0488 2004 3519 5o34 6549 ^7°*^ 80628214 9576 1088 2600 4ll2 5623 7134 8644 01 53 1662 3171 4679 6186 7693 9200 0705 2211 3716 5220 6724 8227 9730 J232 2734 4235 5736 6089 7607 9124 0640 21 56 3671 5i86 9727 1239 2752 4263 5774 7285 8795 o3o4 i8i3 3322 483o 6337 7844 9350 o856 236 1 3866 5370 6874 8377 7236 8735 0234 1733 323i 4729 6236 7722 9218 0714 2209 3703 5197 6691 8x84 9676 1168 2659 4i5o 564i 7i3o 8620 ♦109 1597 3o85 9880 i382 2884 4385 5886 7386 8885 o384 1 883 338 1 4878 6375 7872 9368 o863 2358 3853 5347 684o 8333 9825 i3i7 2808 4299 5790 7279 8769 0258 1746 6241 7758 9275 0791 23o7 3822 5337 685i 8365 9878 1 39 1 2903 44i4 5925 7436 8946 0455 1964 3472 4980 6488 7994 9501 1007 25l2 4017 5521 7024 8528 ♦o3o i532 3o34 4535 6o36 4875 6393 7910 9427 0943 2459 3974 5489 70o3 85i6 ♦029 i542 3o54 4565 6076 7587 9097 0606 2Il5 3623 5i3i 6638 8145 9651 1 1 57 2662 4167 5671 7175 8678 5027 6545 8062 9578 1095 2610 4i25 564o 7154 8668 0181 1693 32o5 4717 6227 7738 9248 0757 2266 3774 5282 6789 8296 9802 i3o8 2813 4317 5822 7325 8828 0180 o33i Diff. i683 3i84 4685 6186 75367686 90359185 o534 2o33 353 1 5028 6525 8022 9517 ioi3 25o8 4002 5496 6989 8482 9974 1 466 2958 4448 5939 0684 2i83 368o 5178 6675 8171 9667 1 162 2657 4i52 5645 7139 863 1 ♦ 124 i6i5 3 107 4597 1 833 3334 4835 6336 7836 9335 o834 2332 383o 5328 6824 8321 9817 l3l2 2807 43oi 5795 7288 8781 0273 1765 3256 4746 6088,6237 7428 757717726 891890679215 o4o6!o555,07o4 . . 1895120432192 3234''3382!353i 368o 12 3456789 i5i i5o 149 Diir.&^MuIt. I 3 3 4 5 6 7 8 9 Diff. I 53 3o4 456 608 760 913 1064 I3l6 i368 I i5i 3 302 3 453 4 604 5 755 6 906 7 1057 8 1 308 9 1359 I i5o 3 3oo 3 45o 4 600 5 75o 6 900 7 io5o 8 1200 9 i35o I 3 It^ 3 447 4 596 5 745 6 894 7 1043 8 1193 9 1 341 I i48 3 396 3 444 4 593 5 74o 6 888 7 io36 8 ii84 Q 1 333 Diff. & Malt >! 36 LOGARITHMS OF NUMBERS* ay a3 34 a5 a6 27 ay 2930 3 1 3a 33 34 OPIj 3? 38 39 3940 4i 4a 43 mmOL 45 46 47 48 49 aoSo 31 5a 53 54 55 56 57 58 59 3960 61 6a 63 64 65 66 67 68 69 3970 71 7a 73 74 75 76 77 78 79 Muni. 01234 56789 4IIS 38aQ 53io 6803 8a88 • 9774 466ia5o 3745 4aa7 5711 7194 • 8676 467 01 58 i64o 3iai 4601 6081 7561 • 9039 468 o5i8 1996 3977 5464 695 8437 99aa 7342749076397787 88a4 o3o6 1788 3369 4749 4897 3473 4950 6427 7903 • 9J78 469 o853 a327 38oi 5275 6aa9 700 9187 0666 2144 3621 5098 6574 8o5o 1000 2475 3949 542a 67486895 8aad • 969a 470 1 164 a634 4io5 5575 '7o44 85i3 • 998a 471 i45o a9i.7 4384 585i 7317 • 878a 47a 0247 1711 3i75 7564 # 9oa7 473 o4B8 1949 3410 4870 63ao 7788 • 9247 474 0705 4126 56i3 7099 8585 ♦071 58596007 8973 0455 1036 3417 6377 7856 9335 0814 2291 3769 5246 6722 8198 9526 9673 i3ii i458 :178a 3929 425a 4399 5722 586o 7191 7338 86608807 ♦ 1290275 1596 1743 3o64 3211 453 1 4677 5997 6144 7463 7610 8929 9075 0393 o54o i858 2004 3322 3468 493a 610262486395 46394785 7711 9173 o634 2095 3556 5oi6 6475 7934 9393 o85i 1704 3i88 4672 6i56 91 2 1 o6o3 2084 3565 5o45 6525 8004 9483 0961 2439 3oi6 5393 6870 8345 9821 ii48 2622 4096 5569 7042 1 853 3337 48a I 63o4 7337 8367 85i5 8662|88o9 98399986 7857 9319 0780 2a4i 3702 5i6a 6621 8080 95399684 0997 1 142 6i63 763a 9101 0569 ao37 35o4 4971 6437 7903 9368 457a 6059 7545 903 1 o5i6 aooi 3485 4969 6452 7935 9417 0899 238o 386i 5341 6821 83oo 9779 1257 2735 421a 5689 7165 864o «ii6 1500 3oo4 4538 601 1 7484 8956 0428 1899 3370 484o 63io 7779 9248 0716 ai83 365 1 5ii7 6584 8049 95i5 0979 2444 3oo7 5371 6833 8296 9757 1219 2679 4i4o 7059 85i8 9976 1434 4721 6ao8 7694 9180 o665 2149 3634 5ii7 6601 8o83 9565 io47 a528 4009 5489 6969 8448 9927 i4o5 a88a 4360 5836 73i2 8788 oa63 1738 3212 4685 6159 763 1 9103 0575 2o46 35i7 4987 6457 7926 ?M otsoJ a33o 3797 5264 6730 8196 9661 iia6 2590 4o54 55i7 6980 8442 a825 4a86 5746 7205 8664 •122 i58o 4870 6356 7842 9328 o8i3 2298 3782 5266 6749 823a 9714 1 195 2676 4 1 57 5637 7117 5oi8 65o5 7991 9477 0962 2446 3930 54i4 6897 838o 9862 343 2824 43o5 5785 7265 85968744 ♦074 1 553 3o3o 45o7 5984 7460 8935 o4ii i885 3359 4833 63o6 7778 9251 0722 21 022a 1700 3178 4655 61 3 1 7607 9083 o558 ao33 3507 4980 6453 7926 5i34 8073 9541 1009 2477 3944 541 1 6877 8342 9808 1272 2736 4aoo 5663 7126 8588 ♦o5o i5ii 2972 4432 5891 735 1 8809 0268 1725 2340 38ii 5281 6604 6750 8'2i9 9688 11S6 2624 4091 5557 7023 8489 9954 2883 4346 5809 7273 8734 0196 i657 3ii8 4578 6037 7497 8955 o4i3 1871 5167 6653 8i4o 9625 iiio 2595 4079 5562 7045 8528 ♦010 149a 2973 4453 5933 74i3 889a 0370 i848 3326 48o3 6a79 7755 9231 0706 ai8o 3654 5ia7 6600 8073 9545 1016 3487 3958 5428 6807 8366 9835 i3o3 2770 4237 5704 7170 8635 ♦ lOI 1 565 3029 4493 59% 7418 8880 0342 i8o3 3264 4724 6i83 7642 9101 0559 2017 01234 56789 DiflT. i48 147 i46 DiflT. DiflT. k. Muh. I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 I a 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 149 298 447 596 745 894 1043 1 192 i34i i48 296 444 592 740 888 io36 ii84 1 332 i47 294 441 588 735 88a loao 1 176 i323 i46 29a 438 584 73o 876 loaa 1168 i3i4 DifT. k. Malt. LOGARITHMS OF NUMBERS. 37 Num. 2980 81 8a 83 84 85 86 87 88 89 2990 91 9a 94 95 96 97 98 99 3ooo 01 oa o3 o4 o5 06 07 08 09 3o 10 II 12 i3 i4 i5 16 17 18 19 30 90 31 aa a3 24 25 26 27 a8 29 3o3o 3i 3a 33 34 35 36 37 38 39 12 3 5 6 7 8 9 474 2163 3620 5076 6533 7988 • 9443 475 0898 2352 38o6 5259 6712 8164 * 9616 476 1067 25i8 3968 5418 6867 83i6 # 9765 477 12X3 2660 4107 5553 6999 8445 # 9890 478 1 334 2778 4222 5665 7108 855o 479 i4 2873 43i3 5753 719a a3o8 3765 5222 6678 8i34 958 io4 2498 3951 5404 6857 83o9 9761 1212 2663 4ii3 5563 7012 846i 9909 1 357 2805 4252 5698 7144 2454 3911 5368 6824 8279 9734 1 189 2643 4o< 55* 2600 4o57 55i3 696. 842: 7002 8455 9906 ij57 2808 4258 5708 7157 8606 ♦o54 i5o2 2949 4396 5843 7288 863 4800069 i5o7 2945 4j8i 58i8 7254 8689 481 0124 1550 2993 4426 4570 8589 8734 ♦o34 1 4? 292 4366 5809 7252 8694 ♦ i35 1577 3oi7 4457 5897 7336 8775 02l3 i65r 3o88 4525 5961 73c 88: 0268 1702 3i36 5859 729a » 8724 482 Of 56 1 587 3oi8 4448 5878 7307 6oo3 7435 8867 02 1730 3i6i 4591 60a I 745o 0179 1623 3067 45ii 5o54 7396 8838 0280 1731 3i6i 4601 604 1 7480 8919 o357 rf 3232 4669 6io5 7541 8976 o4ii 1 846 3279 47i3 6146 7578 9010 2 99044 9880 1 334 2788 4242 5695 7148 8600 ♦o5i i5o2 2953 44o3 5853 73o2 8751 0199 1647 3094 4541 5987 7433 8878 o323 1768 32II 4655 6098 7540 8982 0424 i865 33o5 4745 6i85 7624 9063 o5oi 1939 3376 4812 6a49 7684 9120 o555 342? 4856 6289 7722 9154 o585 2016 3447 4877 63o7 7736 2746 4202 5650 7ii5 8570 ♦025 1480 2934 4387 584o 7293 8745 0196 i648 3098 4548 5998 7447 8896 o344 1702 3239 4686 6i3a 7578 9oa3 o468 la 56 4799 6242 7684 9126 o568 2009 3449 4889 6329 7768 9207 0645 2082 35x0 6392 7828 9263 0608 2l32 3566 5ooo 6432 7865 9297 0728 2x59 3590 5o2o 6449 7879 2891 4348 58o5 7260 3o37 4494 5950 74o6 3x83 8716 8861 0171 1625 3079 4533 5986 7438 8890 0342 1793 3243 4693 6x43 7592 9041 0489 1936 3383 483o 6276 7722 9167 0612 2o56 35oo 4943 6386 7829 927X 0712 2i53 3593 5o33 6473 7912 9j5o 0788 2226 3663 5ioo 6536 7972 9407 0842 2276 3710 5i43 6576 8008 9440 0871 2302 3733 5x63 6592 8021 Nnm. 1873 33o4 4734 6x64 7593 234 56789 o3i6 X77X 3225 4678 6i3x 7583 9035 0487 1938 3388 4838 6288 7737 9185 o633 3o8i 3528 4975 6421 7867 9312 0757 220X 3645 5o88 653 1 7973 94i5 o856 2297 3737 5x77 66x7 8o56 9494 0932 3370 38o7 5243 6679 6096 7552 9007 0462 3370 4823 6276 7729 9180 o632 2o83 3533 4983 6433 7882 9330 0778 2226 3673 51x9 6566 801 1 9456 0901 2345 3789 5232 6675 81x7 9559 1000 2441 388 1 5321 6761 8200 9638 3328 46394785 6241 7697 9x32 0607 2061 35x5 4969 6421 7874 9326 0777 2228 3678 5x28 6578 8027 9475 0923 2371 38x8 5264 67x0 81 56 960X 1045 2490 3933 5376 6819 826X 9703 1144 2585 4o25 5465 6906 8343 9782 8ix5 9550 0985 241 385 5286 6719 8x5i 9583 ioi5 2445 3876 53o6 6735 8x64 1076 25x3 3950 5387 6823 8259 9694 1x28 2563 3996 5429 6862 8295 9726 ii58 2589 40x9 5449 6878 83o7 1220 2657 4094 553 6967 84o2 9837 X272 2706 4i4o 5573 7005 8438 9869 i3oi 2732 4162 5592 7021 845o 3474 4931 6387 7843 9298 0753 2207 366i 5ix4 6567 8019 9471 0922 2373 3823 5273 6723 8x71 9620 1068 25x5 3962 5409 6855 83oo 9745 X190 2634 4078 5521 6963 84o5 9847 X288 2729 4169 5609 7048 8487 9926 x363 2801 4238 5674 7110 8546 9981 i4i5 2849 4283 5716 7149 858i ♦oi3 1444 2875 43o5 5735 7x64 8593 Dim i45 i44 143 Die Diif. & Mult I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 9 1 46 392 438 584 73o 876 1022 1168 i3i4 I 145 2 3 290 435 4 58o 5 725 6 870 7 ioi5 8 1160 9 x3o5 I i44 2 a88 3 432 4 576 5 720 6 864 7 1008 8 iiSa 9 1296 143 a86 429 57a 7i5 858 lOOI 1144 1287 I i4a a 284 3 426 4 568 5 710 6 853 7 8 ,^ 9 1378 Dim^Miitt. 1 I I I i vi 38 LOGAEITHMS OF NUMBERS. M40 4 1 4a 44 48 49 »jO ■•10 5i 53 54 ■56 58 5^ 3o6o' 6i 6a 63 Uftf. 65 66 67 68 69 3070 72 73 74 75 76 77 78 79 3o80' 81 89 83 84 85 86 87 88 89 3090 9a 93 98 99 01234 56789 483 0164 1593 444^ 5873 7299 • 8725 484 01 5o 1574 2998 44'i2 5845 7268 8690 485 01 1 2 1 533 3954 4375 5795 7214 8633 486oo52 1470 2888 87368879 43o5 5723 71 38 8554 • 9969 487 1384 2798' 4313 5626 7039 845 1 • 9863 488 1 275 2686 4097 55o7 6917 8326 • 9735 4891144 o3o7 1735 3 1 62 4589 6016 8867 0392 1717 3i4i 4564 5988 74 to 8833 0354 1 676 3096 45i7 5937 9023:9164 0450.0593 18782020 33o5 3448 4732 48745017 6i5863oi 7584 7727 9010 9153 0435 o577' 1859 3383 4707 6i3o 7553 8975 0396 1818 3339 2002 34 a6 4849499 6373 7695 91 17 0539 i960 338i 46594801 60796321 7356 8775 0194 161 3 3029 4446 5863 737< 869^ ♦110 2940 4J53 5767 7180 ■M'lJP'iiiJ' -m s ©773 8179 » 9585 4900090 2S95 52o3 6607 8010 ♦ 9412 491 0814 2216 8592 *oo4 i4i6 2827 4a38 5648 7o58 8467 9876 1285 7498 8917 o336 1754 3171 4588 6oo5 4721 8837 0252 1667 3o8i 4495 S908 7321 9307 0735 3i63 3590 6443 7869 9295 0720 3568 I 64 14 7837 9359 8734 01 46 i557 3968 4379 5789 8608 7640 9059 0477 1895 33i3 473o 6146 7563 8078 0393 1808 3232 4636 6o5o 7463 8875 0387 1698 3109 4530 593© 7340 8749 ♦0170158 i4a5 i566 3692 4100 6014 8330 9735 I i3i 3535 3q4o 5343 6747 6887 8i5o 9553 0954 3833 4241 5648 7054 846o 9866 1271 2676 9693 1094 3496 3974 4J8i 5788 7195 86of ♦006 i4l3 3816 4o8o 4220 5484 5624 7027 8290J8430 " "9833 1235 2636 0681 3I03 3533 4943 6363 7782 9301 0619 3o37 3455 487a 6288 7704 9130 o535 io5o >5663 1980 3297 461 3 5929 7245 8560 9875 1189 25o3 3817 5i3t> 6443 7755 0248 1559 2870 4180 5490 6800 8109 9418 0727 2o35 3343 465o 5957 7263 8570 9875 1181 2486 3790 392 5094 6398 7702 9005 o3o7 1609 3911 42i3 55 14 6814 89369067 0379 1690 3ooi 43ii 56ai 6931 8240 9540 o858 2166 3473 4781 6088 7394 8700 ♦006 i3ii 2616 5225 6529 7832 9135 0437 1740 3o4i 4343 5644 6945 9665 0089 23l2 3635 4957 6279 7601 8922 0243 i563 2883 4202 5522 68 4o 8159 9477 0794 2111 3438 4745 6061 7376 8691 ♦006 1 320 2634 3948 5261 6674 7886 9198 o5io i8ai 3i32 4442 5752 7062 8371 9680 0988 2296 36o4 4911 6218 7525 883 1 oi36 1442 2747 4o5i 5355 6659 7962 9265 o568 1870 3172 4473 5774 7075 9798 II3I 2444 3767 508952 64ii 7733 9054 0375 1695 3oi5 4334 5654 6972 8291 96*38 0926 2243 35(x 4876 6192 75o8 8823 0137 1 453 2766 4079 5392 6705 8018 9329 0641 1952 3363 4573 5883 7193 85o2 9811 1119 2427 3735 5o42 6349 7655 8961 0267 1572 2877 4i8i 5486 9930 1253 2577 3899 taa 6543 7865 9186 o5o7 1837 3i47 4466 5785 7104 8422 9740 io58 2375 3()92 5oo8 6324 7639 8954 0269 i583 2897 4211 5534 6836 8149 9461 0772 2o83 3394 4704 6014 7324 8633 994a 125o 2558 3866 5173 6479 7786 909a 0397 1703 3007 43i2 56i6 6789 6920 8093 8223 9395 0698 3000 33o2 46o3 5904 7205 9526 0828 21 3o 3432 4733 6o34 7335 01234 56789 Dill*, k, Mult. i3a i3i Diff. 1 a 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I 3 3 4 5 6 7 8 I 2 3 4 5 6 7 8 i33 266 ^ 665 798 93 1 1064 1197 l32 2(i4 396 5a8 660 792 924 io56 1188 i3i 26a 393 524 655 786 917 io48 1179 i3o 260 390 520 65o 780 910 io4o 1170 Dilf. &. Mult. LOGARITHMS OF NUMBERS. 43 Nnm. 3340 41 42 43 44 45 46 47 48 49 33 5o 5i 52 53 54 55 56 57 58 59 3360 61 62 63 64 65 66 67 68 69 3370 71 72 73 74 75 76 77 78 79 33 80 81 82 83 84 85 86 87 88 89 33 90 91 93 94 95 96 9Z 98 99 Num. 01234 56789 Dim 533 7465 8765 5240064 1 364 2663 3961 5259 6557 7854 » 9i5i 525 o448 1744 3o4o 4336 563 1 6925 8220 * 95i3 5260807 aioo 3393 4685 5977 7269 856o # 9851 527 ii4i 243 1 3721 5oio %U # 8876 5280163 i45i 2738 4024 53ii 6596 7882 # 9167 5290452 1736 3020 43o4 5587 6870 8i52 » 9434 530 0716 '997 3278 4558 5839 7118 8398 # 9677 53 1 0955 2234 35i2 7595 8895 0194 1494 2793 4091 5389 6687 7984 9281 0578 1874 3170 4465 5760 7o55 834 964 0936 2239 3522 48i4 6106 7398 7725 9025 o324 1624 2922 4221 5519 (S817 8ii4 94II 0707 2oo3 3299 4595 5890 7184 8478 9772 1066 2359 365i 4944 6235 7527 8689 8818 9980 1270 256o 385o 5i39 6428 7716 9004 0292 1 579 2866 4i53 5439 6725 8010 o5»o 1864 3i48 4432 5715 6 82 9562 0844 2125 3406 4686 5967 7246 8526 9805 io83 2362 3639 ♦109 1399 2689 6557 7845 9133 0421 1708 5568 6854 8139 9424 0709 1993 3277 456o 5843 7126 84o8 9690 0972 2253 3534 48i4 6095 7374 8654 9933 1211 2489 7855 91 55 0454 1753 3o52 435i 5649 6946 8244 9540 0837 2i33 3429 4724 6019 73i4 8608 9902 1195 2488 3781 5073 6365 7656 8947 0238 1 528 2818 4108 5397 6686 7974 9262 o55o i837 3i24 44io 5i 8267 9552 0837 2121 34o5 4689 5972 7254 8537 9819 IIOO 238 1 3662 4943 6223 7502 8782 ♦060 1339 3617 3767 13895 7985 9285 o584 1 883 3182 448i 5779 7076 8373 9670 0967 2363 3558 4854 61 48 7443 8737 ♦o3i 1 324 26j7 3910 5202 6494 7785 9076 o367 1657 2947 4237 5526 68i4 8io3 9391 0678 1966 3252 4539 5825 7111 8396 9681 0965 225o 3533 4817 6100 7383 8665 9947 1228 3509 3790 5071 635 1 763o 1467 3745 4o33 8ii5 941 5 0714 30l3 33i2 4610 5908 7206 85o3 9800 1096 2392 3688 4983 6378 7573 8867 0160 1454 2746 4o39 533 1 6623 7914 9205 0496 1786 3076 4366 5655 6943 8232 9520 0807 3094 338 4668 5954 7239 8525 9809 1094 2378 3662 4945 622 75ii 8793 ♦075 i356 8245 9545 0844 2143 3442 4740 6o38 7336 8633 9929 1226 2522 38i7 5ii3 6407 7702 8996 0290 1 583 2876 4i68 5460 6752 8043 9334 0625 1915 32o5 4494 5783 7072 836o 9648 0936 2223 35io 4796 6082 7368 8653 9938 1223 25o6 3790 5074 2637 3918 6479 7758 9037 o3i6 1595 2873 4i5o 5 6356 - 7639 8921 0203 i485 2766 4o46 5327 6607 7886 8375 9675 0974 2273 3572 4870 6168 7465 8762 ♦059 i355 265 1 3947 5242 6537 783 1 9125 0419 1712 3oo5 4297 5590 6881 8173 9463 0754 2044 3334 4623 5912 7201 8489 9777 io65 2352 3638 4925 62 1 1 74q6 8782 ♦066 i35t 2635 3919 5202 6485 7767 9049 o33i i6i3 2894 4174 5455 6734 8oi4 9165 0444 1722 3ooi 4278 85o5 9805 1104 24o3 3702 5ooo 6298 7595 8892 0189 1 485 2781 4076 5372 6666 7961 9255 ()548 i84i 3i34 4427 5719 7010 83o2 9593 o883 2173 3463 4752 604 1 733o 8618 9906 1193 2480 3767 5o53 6330 7625 8910 0195 1479 2763 4047 533o 66i3 7896 9178 0459 1741 3022 43o2 5583 6862 9293 0572 i85o 3128 4406 8635 9935 1234 2533 383i 5i3o 6427 7725 9022 o3i8 i6i5 2911 4206 55oi 6796 8090 9384 0678 1971 3264 4556 5848 7140 843 1 9722 1012 2302 3592 4881 6170 7459 8747 ♦o35 i32a 2609 3896 5182 6468 7753 9039 o323 1608 2892 4175 5458 6741 8024 9306 o588 1869 3i5o 443o 5711 6990 8142 8270 9421 0700 1978 3256 4534 0828 2106 3384 4661 i3o 012 3 4 56789 129 DifT. & Mult. 138 I 2 3 4 5 6 7 8 I a 3 4 5 6 7 8 9 Diff. i3o a6o 390 5ao 65o 780 910 io4o 1 170 129 a58 387 5i6 645 774 903 io3a 1161 I 138 2 a56 3 384 4 5l3 5 64o 6 768 7 896 8 ioa4 1 1 52 I 137 3 254 3 38i 4 5o8 5 635 6 76a 7 889 lOIO 8 9 1143 1: l\' V. Diff. ic Mult. LOGARITHMS OF NUMBBES. Mitiii» 3400 oi oa o3 o4 o5 '06 err 09 t}i{ 10 It 12 1 3 14 i5 16 17 18 19 34 ao ai a3 J»4 35 a6 a? afi 29 34 3o 3i 3a 34 35 36 37 38' % 344^ 4i 42 43 45 46 4? 48 49 34 5o 5i Sa 53 '^4 55 » 58 59 0123 4 567S9 S3I 4789,491 7 1 5o45 606661946322 7343J7471 7598^ 86t9{ 9896 532 1171 1299 a446 2574 3721 3849 4996 5ia3 6270 6397 7544 8817 2635 3907 5 1 79 645o 7721 • 8991 5340,6, i53i 2800 4o6o 5338 8747 K023 8875 0151,0278 7671 8945 0218 i4oo 2702 4o34 53o6 6577 7848 91 18 o388 i658 2927 4196 5464 66066733 7874 • 9141 535 o4o8 1675 2941 4207 5473 6738 6oo3 • 9267 536 o532 1795 3o39 4322 5584 '6847 8109 • 9370 537 o63i 1892 3i53 44i3 5673 693 8000 9268 o535 1802 3o68 4334 5599 68o5 8191 # 94jo 538 0708 o834 1966 3223 812982 83i7 9575 2092 5172 6449 7720 9002 1426 2701 3976 525i 6525 7799 9072 o345 1617 2890 1 554 2829 4104 5378 6652 7926 9199 0472 1745 3017 4i6t 4289 5433i556o 6704 7975 9245 o5i5 1785 3<)54 4323 5591 683 1 8102 9372 0642 1912 3i8i 445o 5718 68596986 8i27]8254 93949521 06620788 1938 2o55 3194 4460 5726 6901 8256 3321 4460 4587 9394 o65« 1922 3i85 4448 571 1 6973 8235 94, 07 2018 3279 45394665 571 70; 9520 9647 0784 2048 33ii 4574 5837 7099 836i 9622 0884 585a 71 18 8382 091 1 a 174 4701 6577 7854 91 3o o4o6 1681 2956 423i ^ jKXj 6780 8o53 9326 0599 187a 3i44 44 16 5687 6958 8229 9499 0769 2039 33o8 4576 5845 7ii3 838i 9648 0915 2l8f 3448 471 3 5979 7244 85o9 9773 1037 a3oi 3564 4827 7225 8487 21442270 34o5{353i 4791 5924|6o5o 71847310 84438569 9701 j 9827 0059 io85 2?i?i2343 3349 3475I3601 iiSi 5737 6994 8250 95069631 4606 4732 '4858 5863 5980 61 14 711972457371 8375 85oi 8627 97571988a 59636089 7352 86i3 97499875 IOI0II36 2396 3657 4917 6176 7436 laii 2469 3726 4983 6240 7496 8752 ♦008 5428 6705 798 r 9258 o533 1809 3o84 4359 6907 8181 9454 0727 1999 3271 4543 58 1 4 7085 8356 9626 o8< 2 1 65 3435 47o3 5972 7240 85o7 9775 1042 23o8 3574 484o 6io5 7371 8635 9900 ii63 2427 3690 4953 6216 7478 8739 ♦001 1262 2523 3-^3 5o43 63o2 756i 88ao ♦079 i337 2595 385: 5109 6366 7622 8878 01 33 6832 8109 938 !> 0661 1936 321 I 4486 5760 7034 83o8 9581 o854 2126 3398 4670 5941 7212 8483 9753 1 023 2292 356i 483o 6099 7366 8634 990' 1168 2435 3701 4967 6232 7497 8762 ♦026 12 25 3817 5079 6342 7604 8866 0127 i388 2649 3909 5i5 6421 7687 8946 0205 i463 2720 3978 5235 6491 7747 9003 5683,5811 8237 95 1 3 0789 2064 3339 4614 5888 7162 8435 9708 0981 2254 3526 4797 6068 7339 8610 9880 ii5o 241' 368 4957 6225 7493 8761 ♦028 1295 256i 3827 5093 riSSo 7623 8888 01 52 i4i6 2680 3943 5206 6468 773o «9?2 0253 i5i4 2775 4o35 5295 6554 7813 9072 o33o i588 2846 4io3 536o 6617 7873 9129 0259 o384 7088 8364 9640 0916 2 191 3466 4741 6oi5 7289 8563 9836 1 108 238i 3653 4924 6196 7466 8737 ♦007 1277 2546 3»i5 5o84 6352 7620 8888 01 55 1422 2688 3954 5220 6485 775o 9015 027 i54 2806 4069 5332 6504 7856 9118 0379 i64o 2901 4i6i 5421 6680 7939 0456 1714 2972 4229 5486 6743 799? 9255 o5io 5939 72 1 S 8492 9768 1044 23i9 3594 4868 6143 74i6 3 ia36 25o8 3780 5o5i 6323 7.594 8864 01 34 i4o4 2673 394a 521 1 6479 7747 9014 0281 1 548 a8i5 4o8i 5346 6612 7876 91 4i o4o5 1669 2932 4io5 5458 6721 7982 9244 o5o5 1766 3o27 4287 5547 6806 8o65 93a4 o582 i84o 3098 4355 56ia 6868 8124 9380 o635 12 3 4 5 6 7 8 9 DiflT. DifT. & Mult. 127 126 DiflT. I 2 3 4 5 6 7 8 128 256 384 5l2 640 768 896 1024 1 1 5a 1 127 a 254 3 ,38i 4 5o8 5 635 6 762 7 889 1016 8 9 1 143 I ia6 a a52 3 378 4 5o4 5 6,3o 6 756 7 882 8 1008 9 ii34 Diff. k. Mult \ I :i LOGARITHMS OF NUMBERS. 45 Nttia. 3460 12 3 4 5 6 7 8 9 DiX j 53JI 0761 62 2010 3271 63 4525 64 5779 65 7o32 66 8286 67 . « 9538 68 540 0791 69 2043 3470 3295 71 4546 72 5797 73 7048 74 8298 75 * 9548 76 5410798 77 2047 78 3296 79 4544 3480 5792 81 7040 82 8288 83 # 9535 84 542 0781 85 2028 86 3274 87 4519 5765 88 89 7010 3490 8254 91 # 9498 92 543 0742 9^ 1986 94 3229 95 4472 ^ 5714 9Z 6956 98 8108 99 * 94^9 35 00 5440680 01 1921 02 3i6i o3 44oi 04 564i o5 6880 06 8119 # 9358 07 08 545 0596 1 834 09 35 10 3071 II 43o8 la 5545 i3 6781 14 8018 i5 * 9253 16 546 0489 17 1724 18 2958 19 4193 0887,1012 2i4i 2267 33963522 465o 5904 71 58 84if 9664 0916 2168 3420 4671 5922 7173 8423 9673 0923 2172 342 f 4669 5917 7i65 84i2 9659 0906 2l52 3398 4644 5889 7134 8370 9623 0867 2110 3353 45o6 5838 7081 8322 9564 o8o5 2o45 3285 4525 5765 7004 8243 9481 0720 1957 3195 4432 5669 6905 8i4i 9377 0612 1847 3082 43i6 4776 6o3o 7283 8536 9789 io4i 2293 3545 4796 6047 7298 8548 9798 io48 2297 3546 4794 6042 7290 8537 9784 io3i 2277 3523 4769 6014 7259 85o3 9747 090. 2235 3478 4720 5963 7205 8446 9688 0929 2169 3409 4649 5889 7128 8367 9605 0843 2081 3319 4556 5792 7029 8265j 9500 0736 1971 32o5 4439 ii38 2392 3647 1263 a5i8 3772 4901 5027 61556280 7408 8661 9914 1167 2419 3670 4921 6172 7423 8673 9923 1172 2422 3670 4919 6167 74i5 8662 9909 ii55 2402 3648 48^ 61 7534 8787 ♦039 1292 2544 3795 5o47 6297 7548 8798 ♦o48 1297 2546 3795 5o44 6292 7539 8787 ♦o33 1280 2526 3772 3 5oi8 8 6263 2094 3329 4563 7383 8628 9872 iii5 2359 36o2 4845 6087 ^329 8571 9812 io53 2293 3533 4773 6oi3 7252 8491 9729 0967 2ao5 3442 4679 5916 7i52 8388 9624 08596983 7508 8752 9996 1240 2483 3726 4969 621 1 7453 86o5 9936 1177 2417 3657 4807 6i37 7376 86i5 9853 1091 2329 3566 48o3 6o4o 7276 85i2 9747 2218 3452 4686 i38o 264J 38 5lD2 6406 7659 8912 oi65 i4i7 2669 3920 5172 6423 7673 8923 0173 1422 2671 3920 5i68 64i6 7664 891 1 oi58 i4o5 265 1 3897 5i42 6387 7632 8876 ♦120 1 364 2607 385o 5093 6335 7577 8819 ♦060 i3oi 254 r 3781 5o2i 6261 75oo 8738 9977 I2l5 2452 3690 4927 6i63 7400 8635 9871 1106 234 1 3576 4810 i5i4 i64o 2769*2894 4o2j:4i49 5277 54o3 6656 653 1 7784 9037 0290 1 542 2794 4o46 5297 6548 7798 9048 0298 1 547 2796 4045 5293 654i 7789 9o36 0283 1529 2775 4o2i 5267 65 1 2 7756 9001 0245 1488 2732 3975 5217 646o 7701 8943 0184 1425 2665 3905 5i45 6385 7624 8862 ♦ lOI 1339 2576 38i3 5o5o 6287 7523 8759 9905 I23o 2465 3609 79T0 9163 o4i5 1667 2919 4171 5422 6673 7923 9173 0423 1672 2921 4170 5418 6666 7913 9161 0407 i654 2900 4i46 5391 6636 7881 9125 0369 i6i3 2856 4099 5342 7826 9067 o3o8 1 549 2789 4029 5269 65o8 7747 8986 0224 1462 2700 3937 5174 64ii 7647 8883 «ii8 i353 2588 3822 4933l5o56 1765 3020 4274 5528 6782 8o35 9288 o54o 1793 3o44 4296 5547 6798 8048 9298 o548 1797 3o46 4295 5543 6701 8o38 9285 o532 1779 3o25 4270 55i6 6761 8oo5 0494 1737 2980 4223 5466 6584 6708 7950 9191 0432 1673 2913 4i53 5393 6632 7871 91 10 o348 1 586 2824 4o6i 5298 6534 7770 0242 1 477 271 1 3946 5i8o 1^91 3i45 4400 5653 6907 8160 94i3 0666 1918 3170 4421 5672 6923 8173 9423 0673 1922 3171 4419 5668 6915 8i63 9410 0657 1903 3i49 4395 564o 6885 81 3o DiflT. &, Mull. 9250 9374 0618 1862 3io5 4348 5590 6832 8074 93i5 o556 ^797 3o37 4277 55i7 6756 9234 0472 1710 2947 4i85 5421 6658 7894 90069130 o365 1600 2835 4069 53o3 Num. 01234 56789 125 124 I 2 3 4 5 6 7 8 Dim I a 3 4 5 6 7 8 9 126 252 378 5o4 63o 756 882 1008 ii34 I 125 2 a5o 3 375 4 5oo 5 625 6 75o 7 875 8 1000 9 1 1 25 I 124 a 248 3 372 4 496 5 620 6 744 7 868 8 99a 9 1 1 16 ia3 a46 369 492 6i5 738 861 984 II 07 « DiflT. & Holt. rwfUfimBii ■MiWif IWJilllllliPH VllliPllAlllllll ,' > 46 LOGARITHMS OF NUMBERS. 3520 a I 2a a5 a6 a8 39 35 3o 3i 33 35 36 3? 38 35 4o 4i 4^1 43' ^^ 43 46 47 48 49 35 5o 5a 53 54 55 56 5? 58 59 35 '60 61 6a 63 64: 65 66 mLmm 07 68 69 3570 71 7* 73 74 75 7^ jj 78 79 12 3 4 6 6 7 8 9 5463427 mMJKKf 7894 • 91 a6 5470359 1 59 1 a8a3 4o55 5a86 65i7 7747 • 8977 5480207 1 436 a66S 3894 635 1 7578 8806 5490033 ia59 a486 3712 4937 6162 7387 86ia • 9836 55oio6o a 284 •J'307 473o 5952 7174 8396 • 9618 55i ao59 3280 555o 5673 67846907 80178140 ^2509373 0482 1714 2946 4178 5409 6640 7870 9iotj 0839096 45oo 5720 81 • 9377 552 0595 i8i3 3o3i 4248 5465 668a 7899 • 9115 553 o33o 1 545 3760 3975 5i8o 64o3 7617 1 559 2788 4017 5245 6473 7701 8928 01 55 1 382 2608 3834 5ci6o 6285 75io 8734 99^9 1 182 2406 36ao 485a 6074 7396 85i8 9740 I ai8i 34oa 46a2 5842 7061 8-i8o 0717 1935 4370 5587 5707 7o3o 8363 o6o5 1 838 3069 43oi 6763 7993 9223 0453 1682 2911 4i4o )368 6596 7824 905 1 0378 i5o5 2731 3957 5i82 6407 7633 8857 ♦081 i3o5 2528 3751 4974 6197 7419 8640 9862 io83 33o4 3524 4744 5964 7i83 8402 94999621 0839096 2057 3275 4492 5709 66046925 8020 8142 9236 9358 0452 1667 2882 4097 53 1 1 6525 7738 5920 7154 8387 94969620 o85a 0729 1961 3193 4424 5655 6886 81 16 934* 0576 i8o5 3o34 4263 5491 6719 7947 9174 o4oi 1627 2853 4079 53o5 653o 7755 8970 0303 1427 265 1 3874 5096 63 1 7541 8763 9984 iao5 2426 3646 4866 6086 73o5 8524 9743 0573 1789 3oo3 4ai8 5432 6646 7860 2179 3396 46i4 583 1 7047 8263 9479 0695 1910 3i25 4339 5554 6767 7981 2084 33 16 4547 5778 7009 8239 9469 U699 1938 3i57 4386 56i4 684a 8060 9296 o523 t75o 2976 4202 5427 6652 7«77 9102 o326 1549 2773 J996 5219 I 7663 8885 ♦ 106 1 337 2548 3768 4988 6208 7427 8646 9864 io83 23oi 35i8 4735 595a 7169 8385 9601 0816 ao32 9644 3246 446r 5675 6889 8102 6043 7377 85io 9743 0975 3307 3439 4670 5901 7i3a 8362 9592 0822 2o5i 3380 45o8 5737 6964 8192 9419 1098 333o 3562 4793 6024 7255 8485 97 1 5 0945 2174 34o3 463 5859 7087 83i5 9542 0646 1872 3099 4324 6775 8000 9224 o448 167a 3895 4ii8 5341 6563 7785 9007 02a8 1449 2670 3890 5iio 6329 7549 8768 9986 iao4 a4a3 364© 4857 6074 7290 85o7 9732 0938 2i53 3368 4583 5796 7010 8224 6i()7| 7400 8633 98669989 0760 1995 3221 4447 5672 6897 8122 9346 0570 1794 3oi7 4240 5463 6685 7907 9139 o35o 1571 2792 4oi2 5232 645i 7671 8890 ♦108 i3a6 2544 3762 iv^ 74i2 86a8 1059 3275 3489 4704 5918 7i32 8345 6290 7524 8757 1232 2454 3685 4916 6147 7378 8608 9838 1068 2297 3526 4754 5982 7210 8437 9665 0891 2118 3344 4569 5795 7020 8245 9469 0693 1917 3i4o 4363 5585 6808 8o3o 9251 0473 1693 2914 4i34 5354 6573 7793 901 1 0230 i448 2666 3883 5ioo 63i7 7534 8750 98449965 1181 2396 36ii 4825 6089 7253 8466 64i4 7647 8880 «ii3 1345 2577 38o8 5o4o 6270 75oi 8731 9961 1191 2420 3648 4877 6io5 7333 856o 9787 ioi4 2240 3466 4692 5917 7142 8367 9591 081 5 2039 3262 4485 5708 6930 81 52 9^73 0594 i8f5 3o36 4256 5476 6695 7914 9133 o353 1570 2788 4oo5 5222 6439 7655 8871 ♦087 l302 25i7 3732 4947 6I6I 7374 8588 6537 7770 9003 oa36 i468 2700 3931 5i63 7624 8854 ♦084 i3i3 2543 3771 5ooo 6228 7456 8683 9910 ii37 2363 3589 481 5 6o4o 7265 8489 9714 0938 2161 3384 4607 583o 7o52 8274 9495 0717 1937 3i58 4378 5598 6817 8o36 9255 0474 1692 3909 4127 5344 656i 7777 8993 0309 1424 3639 3854 5o68 6282 7496 8709 1234 56789 Die 123 laa DiflT. Sl Mult. I 3 3 4 5 6 7 8 9 I 3 3 4 5 6 7 8 9 Die 124 248 372 496 620 744 868 992 1116 133 246 369 492 61 5 738 861 984 H07 I 132 3 244 3 366 4 488 5 610 6 733 7 854 8 9?6 9 1098 Diir. At Malt ifflfii'iilpiniPjii'iiiiiiiHiiiiiilr LOGARITHMS OF NUMBERS. 47 Num. 3380 81 82 83 84 85 86 87 88 89 3590 91 9^ 94 95 96 9Z 98 99 36 00 01 03 o3 o4 o5 06 07 08 09 36 10 II 13 i3 14 i5 16 17 18 '9 3620 31 32 23 24 35 36 37 38 39 36 3o 3i 32 33 34 35 36 37 38 39 12 3 4 Nunu 553 883o 8952 554 0043 |o 1 64 1256 i377 2468 '2 589 368o 38oi 4892 5oi3 61036224 73i4 8524 # 9735 555 0944 2i54 3363 4572 5781 6989 8197 « 9404 556o6i2 1818 3o25 423l 5437 6643 7848 7435 8645 9856 io65 2275 3484 4693 5902 7110 83i8 9525 0732 1939 3r46 4352 5558 6763 7968 9073 0286 1498 2710 3922 # 90539173 557 0257 0378 i46i i582 2665 2786 3869 3989 5072 6275 7477 8680 # 9881 558 io83 2284 3485 4686 5886 7086 8285 • 9484 5590683 1882 3o8o 4278 5476 6673 7870 # 9066 56o 0262 i458 2654 3849 5o44 6239 7433 8627 ♦ 9821 5192 6395 7598 8800 ♦002 I203 2404 36o5 4806 6006 7206 84o5 9604 o8o3 2002 3 200 4398 5595 6792 7989 6345 7556 8766 9977 1186 2396 36o5 48i4 6022 723i 8438 9646 o853 2060 3266 4472 5678 6884 8089 9294 0498 1702 2906 4109 53i3 65i5 7718 8920 0122 9194 0407 1620 2832 4o44 5 1 34 5255 6466 7677 8887 ♦098 i3o7 25i7 3726 4935 6143 735i 8559 9767 0974 2180 3387 4593 5799 7004 8209 9414 0619 1823 3026 423o 931 5 o528 i74r 2953 4i65 5376 6587- 7798 9008 0219 1428 2638 3847 5o56 6264 7472 8680 9887 1094 23oi 35o8 4714 5919 7125 833o 9535 0739 1943 3i47 435o 5433 5553 66366756 9186 o382 1578 2774 3969 i323 2524 3725 4926 6126 7326 8525 9724 0923 7838 9o4o_ 0242 1443 2645 3845 5o46 6246 7446 8645 9844 io43 2123 224l 3320 45i8 5715 6912 8109 9306 o5o2 1698 2893 4088 5283| 6478 7672' 88661 3440 4637 5835 7o32 8229 9425 0621 1817 3oi3 4208 5i64 5283154o3 6358 6478 6597 7552 767217791 8746 8866J8985 994o»o59'oi79 7958 9160 o362 1 564 2765 3965 5i66 6366 7566 8765 9964 ii63 236i 3559 4757 5954 7i52 8348 9545 0741 1937 3i32 4327 5522 6716 791 1 9104 0298 5 6 7 8 9 9437 ci65o 1862 3o74 4286 5497 6708 7919 91 3o o34o 1 549 2759 3968 5176 6385 7593 8801 ♦008 I2l5 2422 3628 4834 6o4o 7245 845o 955819679 9801 1992 0771 0892 ioi3ln3 0771 1983 3195 4407 9655 o85o 2o63 3267 4470 5673 6876 8079 9281 0482 1684 2885 4o85 5286 6486 7686 8885 ♦084 1283 248] 56i8 6829 8o4o 9251 0461 1670 2880 4089 5297 65o6 7714 8921 0129 1 336 2542 3749 4955 6160 7366 8571 9775 0980 2184 3387 4591 5794 6996 8199 9401 0602 1804 3oo5 42o5 5406 6606 089 2104 33i6 4528 5740 6961 8161 9372 o582 1 791 3ooi 4210 5418 6627 7835 9042 0249 1 456 2(563 3869 5073 628 T 7486 8691 9896 tioo 23o4 35o8 47" 2 35 2226 2347 3559 3438 4649 586i 7072 8282 9493 0703 1912 3X2! 433o 5539 6747 7955 9163 0370 1 577 2784 399041 1 1 4770 5982 7193 84o3 9614 0824 2o33 3242 445i 566o 6868 8076 9284 0491 1698 2904 5914 7117 83 1 9 9521 0723 1924 3i25 4325 5526 6726 3679 4877 6074 7271 8468 9664 0860 2o56 3252 4447 564i 6836 8o3o 9224 0417 7805 9005 0204 r4o3 2601 3799 4997 6194 7391 8588 9784 0980 2176 3371 4566 5761 6955 8149 9343 0537 7925 9125 o324 l522 2721 3919 5n6 63i4 75ir 8707 9904 uoo 2295 3491 4686 5196 64o2 7607 8812 ♦ot6 1221 2425 3628 483 1 6034 7237 843v 9641 0843 2044 3245 4446 5646 6846 8045 9245 0444 1642 2840 4o38 5236 6433 763o 8827 53i7 6522 7727 8932 oi37 i34i 2545 3748 4952 61 55 7357 8559 9761 0963 2164 3365 4566 5766 6966 8i65 9365 o563 1762 2960 4i58 5356 6553 775o 8947 ♦023 0143 1339 2534 373© 4925 ;;? 12 3 4 121 24 36io 48o5 5880I60006119 7075,71947314 826983888508 9463 9582:9701 o656 0775 0895 6 7 8 9 I2X 120 Diff. Dim Diir.tMuh. I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 122 244 366 488 610 73a 854 976 1098 I 131 3 34a 3 363 4 484 5 6o5 6 726 7 847 8 968 9 1089 I 120 a 240 3 36o 4 48o 5 600 6 720 7 84o 8 960 9 1080 23; 357 476 595 714 833 952 1071 DifT. &. MuIU LOUARITHMS OF NUMBERS. 49 Num. 3700 oi 02 o3 o4 o5 o6 07 08 09 37 10 II 12 i3 i4 i5 16 17 18 '9 3720 21 22 23 24 25 26 27 28 29 3730 3i 32 33 34 35 36 37 38 39 3740 4i 42 43 44 45 46 47 48 49 3750 5i 52 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7 8 9 568 2017 3191 4364 5537 6710 7882 # 9054 5690226 1307 2568 3739 4910 6080 7249 8419 # 9588 5700757 1926 3094 4262 5429 6597 7764 8930 571 0097 1263 2429 3594 4759 5924 7088 8252 # 9416 572 o58o 1743 2906 4069 523i 6393 7555 8716 # 9877 573 io38 21 33 45i8 5678 6837 7996 # 9154 574o3i3 1471 2628 3786 4943 6099 7256 84x2 # 9568 575 0723 2i35 33o8 4481 5654 6827 7999 9171 o343 i5i4 2685 3856 5027 6197 7366 8536 97o5 0874 2042 Ban 4379 5546 6713 7880 9047 02l3 1 379 2545 3710 4876 6o4o 72o5 8369 9533 2252 3426 4599 5772 6944 81I7 9289 0460 i63i 2803 3973 5i44 63 14 7483 8^353 9822 0991 2169 3327 4495 5663 5780 683o 9164 o33o 1859 3022 4i85 5347 65o9 7671 8832 99?3 ii54 23i4 3474 4634 5794 6953 8112 9270 0428 i586 2744 3901 5o58 6215 7371 8528 9683 0839 2369 3543 4716 5889 7062 8234 9406 0577 1749 2920 4090 6261 643 1 7600 8770 9939 1 108 2276 3444 4612 1496 2662 3827 ^ 7321 8485 964q o8i3 1976 3i39 43oi 5463 6625 7787 8948 ♦109 1270 243o 3590 475o 5910 7069 8228 9386 o544 1702 2860 4017 5i74 633i 7487 8643 9799 0954 6947 8114 9280 0447 i6i3 2778 3943 5109 6273 7438 8602 9765 0929 2092 3255 4417 558o 6742 7903 9064 0225 1 386 2546 3706 4866 6026 7i85 8343 9502 0660 1818 2976 4i33 5290 6446 7603 8759 9914 1070 2487 366o 4833 6006 7179 835i 9523 0694 1866 3o37 4207 5378 6548 7717 8887 ♦o56 1225 2393 356i 4729 5896 7064 823o 9397 o563 1729 2895 4060 5225 6390 7554 8718 9882 1045 2208 3371 4534 5696 6858 8019 9180 o34i i5o2 2662 3822 4982 6i4i 73oi 845o 9618 0776 1934 3091 4248 54o5 6562 7718 8874 ♦o3o ii85 2604 3778 4951 6123 7296 8468 9640 0812 1983 3i54 4324 5495 6665 7834 9004 0173 i34i 25l0 3678 4846 6c i3 7180 8347 9514 0680 1 846 3oii 4177 5341 65o6 7670 8834 9998 1162 2325 3487 465o 58i2 6974 8i35 9207 0457 1618 2778 3938 5oo8 6237 7416 8575 9734 0892 2o5o 3207 4364 5521 6678 7834 8990 0146 i3oi 2721 3895 5o68 6241 74i3 8585 9757 0929 2100 3271 444 1 56i2 6782 7951 9121 0290 1 458 2627 3795 4962 61 3o 7297 8464 9630 0796 1962 3i28 4293 5458 6623 7787 8951 ♦ii5 1278 2441 36o4 4766 5928 7090 8252 94i3 o574 1734 2894 4o54 52i4 6373 7532 8691 9849 1007 2i65 3323 4480 5637 6793 7950 9105 0261 i4i6 2839 4oi2 5i85 6358 7530 8703 9874 io46 2217 3388 4558 5729 6899 8068 9237 o4o6 1575 2743 391 1 5o79 6247 7414 858o 9747 0913 20*79 3244 4410 5574 6739 7903 9067 023l 1304 2557 3720 4882 6o44 7206 8368 9529 0690 i85o 3oio 4170 533o 6489 7648 8807 9965 II23 2281 3438 45 57 806 9221 o377 1 532 2956 4i3o 53o3 6475 7648 8820 9992 ii63 2334 35o5 4675 5846 7016 8i85 9354 o523 1692 2860 4028 5196 6363 7530 8697 9863 io3o 2195 336 1 4526 5691 6855 8020 9184 o347 i5ii 2674 3836 7322 8484 9645 0806 1966 3x26 4286 5446 66o5 7764 8923 ♦081 1239 2397 3554 47" 5868 7025 8181 9337 0492 3o74 4247 5420 6593 7765 8937 ♦109 1280 245 1 3622 4793 5963 7i33 83o2 9471 0640 1809 2977 4i45 53i3 648o 7647 8814 9980 1 146 23l2 3477 4643 5807 6972 8i36 9300 o464 1627 2790 3952 5ii5 6277 7438 8600 9761 0922 2082 3242 4402 5562 6721 7880 9039 0197 1 355 25i3 3670 4827 5984 7140 8296 9452 0608 Diff*. DiflT. ic Malt. 1647 1763 117 116 0123 4 56789 I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 9 118 236 354 472 590 708 826 944 1062 I 117 2 234 3 35i 4 468 5 585 6 70a 7 819 8 936 io53 I 116 a aSa 3 .^m 4 464 5 58o 6 696 7 813 8 928 9 io44 ii5 23o 345 460 575 690 8o5 920 io35 Diff. Diff. Sc Malt. i Si m LOGARITHMS OF NUMBERS. Num. mm 6i 62 63 64 DO 67 6H 69 37 7** 71 72 74 75 76 77 79 3780 81 82 83 84 85 «7 ftft % 3790 91 92 *?^ 9^ 97' 98 00 WW 38 00 01 oa o3 o4 oS 06' 07 08 09 .38'iO' II 12 1 3 i5 16 17 18 19 12 3 4 5 6 7 8 9 575 1878 3o33 4188 5342 6496 7650 • 9956 576 1 109 2261 34i4 4565 5717 6868 8019 • 9170 577 o3ao 1470 3620 3769 4918 6067 72 1 5 8363 • 951 1 578 0659 1806' 2953 4ioo 5246 6392 7538 8683 • 9828 5790973 1994 3 1 49 43o3 5458 6612 7765 8918 ♦071 1224 2377 3529 4680 5832 6983 81 34 9285 0435 1 585 2734 3884 5o33 6182 733o 8478 9626 0774 192 1 3o68 4214 536i 65o7 7652 8798 9943 1088 2118 3262 44o6 6693 7836 • 8979 58001 2 1 1263 24o5 2109 3264 44iQ 557J 6727 7881 9034 0187 1339 2492 3644 479^^ 5947 7098 8249 9400 o55o 1700 3849 3999 5i48 6296 7445 8593 9741 0888 2o36 3182 4329 5473 6621 7767 8912 ♦057 1202 2225 338o 4534 5688 6842 7996 9149 o3o2 1455 2607 3759 4911 6062 72i3 8364 951 5 o665 i8i5 2964 4ii4 5263 64ii 7560 8708 9856 2232 2347 3376 3491 45204635 56645778 68076922 354? 4688 5829 6969 8110 • 9250 58 1 0389 1529 2668 3807 4945 6084 7222 02J5 377 25i9 366i 48oa 7950 2340 3495 465o 58o4 6958 8111 9264 0417 1570 272a 3874 5026 6177 7328 8479 9630 0780 1930 3o79 4229 5378 6526 7675 8823 9970 456|a57 ioo3 2i5o 3297 4444 5590 6736 7882 9027 0172 i3i7 a46i 36o5 4749 58o3 70^ 1118 2265 34 1 a 4558 5705 685o 7996 9141 0286 i43i 2576 3720 4863 6007 •367150 8o65 9207 o35o 149a 2633 3775 4916 59436057 7o83 8224 9364 o5o3 1643 2782 3921 5o59 6107 73*5 83598473 • 9497 9610 7197 8338 9478 0617 1757 2806 4o35 5173 63 1 1 7449 8587 9724 8179 9321 o464 1606 2748 8293 9436 0578 1720 a86a 38894003 5o3o 6171 73 1 2 8452 9592 0731 1871 3oio 4i48 5t44 6285 7426 8566 9706 0845 1985 3 1 24 4a62 5287 54oi 642516539 7563 8700 9838 7677 88i4 9951 36ii 4765 5919 .707^ 8227 9380 o533 i685 2837 3989 5i4i 6292 7444 / 85948 3726 4881 7188 834a 949596 0648 1800 2953 4io5 5256 64o8 7559 "709 2687 3842 61 5o 73o4 8457 10 6763 1916 3o68 9660 lOIO 2160 3309 4458 5607 5732 67566871 8019 9167 o3i5 7904 9052 0200 9745 0895 ao45 3194 4343 5492 6641 7789 8937 ♦o85 1233 238o 35a6 4673 5819 6965 81 1 1 9256 o4oi i546 2690 3834 4978 6iai 7a64 84o7]852a 9550 9664 ■ 0806 1948 3090 423i 5372 65i3 7654 8794 9934 1073 22ia 335i 4490 4220 5371 6523 7674 8824 9975 1125 2275 3424 2802 3957 5iii 6265 7419 8573 9726 0878 ao3i 3i83 4335 5487 6638 7789 1 347 2494 364 1 4788 5934 7080 8225 9370 o5[5 1660 2804 3948 5092 6236 2918 4072 5227 638i 7534 8688 9841 *^ 2i46 3298 445o 56o2 6753 7904 8939 9055 ♦090 1240 2390 3539 4573 4688 1462 2609 3756 4902 6o48 7194 834o 9485 o63o 1774 2919 4<>63 5207 635o 0692 1 834 2976 4117 5258 6399 7540 8680 9830 0959 30 3238 4376 55i5 6653 7790 8928 ♦o65 73797493 8636 9778 0921 2o63 32o4 5837 6986 81 34 9282 o4a9 1 577 2724 3870 5017 6i63 7309 8454 9599 0744 1889 4177 5321 6464 7607 8750 io35 4346 5487 6627 7768 8908 ♦o48 1187 2326 3465 46o4 5628 5743 67666880 79048018 90439155 01790293 2177 33i8 4460 56oi 6741 7882 9022 016a i3oi 2440 3570 4718 5856 6994 8i32 9269 o4f)o O2o5 i355 25o5 3654 48o3 5952 7100 8249 9397 o544 1691 2838 3985 5i3i 6278 74a3 8569 9714 o85o 2oo3 3i48 4292 5435 6579 7722 8864 ♦007 "49 2291 34^2 DiC 4574 5715 6855 0276 i4i5 2554 3693 483a 5970 7108 8245 9383 o520 ii5 01234 5 6789 Diff. k. Malt \l4 I ii5 2 232 3 348 4 464 5 58o 6 696 7 8ia 8 928 9 1044 I 115 a a3o 3 345 4 460 5 575 6 690 7 8o5 8 920 9 io35 DifT. I ii4 2 a28 3 34a 4 456 5 570 6 684 7 798 8 912 9 1026 DiC k, Mult. r- LOGARITHMS OF NUMBERS. 51 Num. 12 3 4 5 6 7 8 3820 582 0634 21 1770 22 2907 23 4o43 24 5179 25 63i4 a6 745o 27 8585 28 * 9719 29 583 o854 38 3o 1988 3i 3l22 32 ^ 4255 33 5388 34 6521 35 7654 36 8786 37 # 9918 38 584 io5o 39 2181 38 40 33i2 4i 4443 42 5574 43 6704 44 7834 45 8963 46 5850093 47 1222 48 235i 49 3479 38 5o 4607 5i 5735 52 6863 53 7990 54 # 9117 55 5860244 56 1370 57 2496 58 3622 - 59 4748 38 60 5873 61 6998 62 8123 63 * 9247 64 5870371 65 1495 66 2618 67 68 69 3870 71 72 73 74 75 76 77 78 79 Num. 3742 4865 5987 7110 8232 • 9353 588 0475 1596 0747 1884 3020 4i57 5292 6428 7563 8698 9833 0967 2101 3235 4368 55oi 6634 7767 8899 ♦o3i ii63 2294 3425 4556 5687 6817 7947 9076 0206 i335 2463 3592 4720 5848 6976 8io3 9230 o356 i483 3609 3735 4860 5986 7110 8235 9360 o484 1607 2731 3854 4977 6100 7222 8344 9466 0587 1708 2717 3838 4958 6078 7198 0861 4270 5406 654i 7677 8812 9946 1081 22l5 3348 4482 56i5 6748 7880 9012 01 44 1276 2407 3538 4669 58(>o 6930 8060 9189 o3ii i44 2576 3705 4833 5961 7088 8216 9342 0469 1596 2722 3847 4973 6098 7223 8348 9472 0596 1720 2843 3966 5089 6212 7334 8456 9578 0699 1820 2829 3950 5070 6190 73io 2941 4062 5182 63o2 7422 0975 2111 3248 4384 5520 6655 7790 8925 ♦060 1 194 2328 3462 4595 5728 6861 7993 9126 02 58 1389 2520 3652 4782 5913 7043 8173 9302 0432 i56i 2689 38i8 4946 6073 7201 8328 9455 o582 1708 2834 3960 5o85 621 1 7335 846o 9584 0708 i832 2955 4079 520I 6324 7446 8568 9690 0811 1932 3o53 4174 5294 64i4 7534 1088 2225 336i 4497 5633 6769 7904 9039 0173 1 307 2441 3575 4708 5841 6974 8107 9239 0371 l502 2634 3765 4895 6026 71 56 8286 941 5 o544 1673 2802 3930 5o58 6186 73i4 844i 9568 0694 1821 2947 4072 5198 6323 7448 8572 9697 0821 1944 3o68 4191 53i4 6436 7559 8680 9802 0923 2045 3x65 4286 54o6 6526 7646 1202 2339 3475 4611 5747 6882 8017 9152 0287 1421 2555 3688 4822 5955 7087 8220 9352 o484 i6i5 2747 3878 5oo8 6139 7269 8399 9528 0657 1786 2915 4043 5171 6299 7426 8554 9681 0807 1933 3o5 4i8 53 10 i3i6 2452 3589 4725 586o 6996 8i3i 9265 o4oo i534 2668 38o2 4935 6068 7201 8333 9465 0597 1729 2860 7109 8244 9370 o5i3 1 648 9641 0770 '^ 4x56 0920 2o46 3172 4298 5423 6436 6548 7560 8685 9809 0933 2057 3i8o 43o3 5426 6549 7671 8793 9914 io36 2i57 7673 8797 9922 1045 2169 3292 44i6 5538 6661 3389 45io 563o 6750 7870 7223 8358 9492 0627 1761 2895 4028 5x63 6295 7427 856o 9692 0823 1955 3o86 DiflT. 20x2 3x4i 4269 5397 6525 7652 8779 889 9906 6661 7785 8910 ♦o34 1x58 2394 35x7 464o 5763 6885 8007 9x29 025x 1372 2493 36x4 4734 5854 6974 8093 5623 6750 7877 9004 oi3i 8120 9241 o363 x484 2605 1x3 Diff. & Mult. 3 4 5 6 7 8 9 iia I ii4 2 228 3 342 4 456 5 570 6 684 7 798 8 912 9 1026 I 2 3 4 5 6 7 8 DiflT. I 2 3 4 5 6 7 8 ii3 226 339 452 565 678 791 904 1017 112 224 336 448 56o 672 784 896 1008 I III 2 3 4 5 6 22a 333 444 555 666 7 8 777 888 9 999 Diff. Sc Mult. h OSi LOGAEITHMS OF NUMBERS. Mum. 8l 83 83 '84 85 ftfi 87 88 89 38' 90 91 '93 '?! '96 '97 98 99 39 00 01 oa '03 ^^ 07 08 09 3910 II 1 3 i4 i5 16 17 19 3920 21 33 a3 34 a5 a6' 38 39 39 3o 3i 33 34 35 36 37 39 Mum. 2 3 4 5 6 7 8 » 588' 83i7,84aQi854ij8653 9436 mJCMj Vf *J (-f lu-l 1674 2792 3910 %lO JO 6145 8379 • 9496 5900613 1728 3844 39594071 5f86 63oi 74i5 853o 9644 5075 6189 73o4 8418 9532 0757 187 1 2984 4097 5209 6322 7434 8545 95469657 0768 591 0646 1760 3873 3986 .5098 6210 7*^'* 2 '04»4 # 5930657 1768 2'0'78 3988 5098 6208 '9536 9647 0755 1 863 73 1 8 8427 5930644 1753 a86i 3968 ■5o76 61 83 7290 8397 • 95o3 5940609 1715 3820 5b3o 6i35 7239 8344 ♦ 9447 595o55i i654 3757 9548 (1667 1786 2904 402 a 5i4o 6257 7374 8491 0724 1840 2956 1879 3989 4099 5209 63 19 7420 8538 85o7 9614 0720 1825 2931 3926 4o36 5i4i 6246 735o 8454 9558 0661 1764 2867 3970 966019772 07790891 2009 3(28 1898 3oi6 4i34 425 1 636o 7480 86o3 9710 o83b [951 4i83 5298 64i2 7527 864i 9755 :>869098i 982 3095 4208 5321 6433 7545 8656 9768 08790990 1990 3ioo 4310 5320 64 3o 7540 8649 9757 0866 1974 3971 4079 5187 6294 64b4 74oi 4190 5397 75ii 8618 9734 o83o 1936 3o4i 4i47 5>5i 6356 7460 8564 9668 0772 1875 2978 4080 4246 \}'J0^J' 6481 7598 8714 983 1 0947 2o63 3 1 79 4294 5409 65^4 7638 8753 '57f>3 9884 ioo3 2121 3339 435? 5475 6593 '77C19 8826 9943 loSo 3175 3290 4406 5531 6635 775o 8864 98669978 3093 3207 4319 5433 6544 7656 8768 9879 3I0I 3211 4321 543 1 654 1 7650 8760 9868 0977 3o85 3193 43oi 54o8 65 1 5 7623 8739 9835 0941 3o46 3 1 52 4257 5362 6466 7571 8675 9778 0883 1985 3o88 4191 1091 2ao5 33 1 8 443 i 5543 6655 7767 8879 9990 IIOI 3213 3322 4433 5542 6652 7761 8870 9979 1088 3196 33o4 44 11 55 1 9 (1626 7733 8839 9945 io5i 2157 3363 4368 5472 6577 7681 8785 9889 0993 2095 3198 43oi 887718980 9996*100 1 1 1 5] 1 327 a 345 3463 2233 335i 4469 458 1 5698 6816 7933 9049 0166 1282 3398 35i3 4639 5744 6858 7973 9087 0201 i3i4 2427 3540 4653 5765 6878 7989 9101 0212 i323 2434 J344 4655 5764 6874 7983 9092 0201 1 309 2417 3525 4633 5740 6847 7954 9060 0167 1373 3378 3483 4588 5693 5587 6704 783 1 8938 ♦o54 1170 2386 3402 4517 5632 6747 7861 8975 ♦089 12o3 23i6 3429 4542 5654 6766 7878 8990 ♦lOi 1313 2333 3433 4544 5653 6763 7873 8981 ♦090 1 1 99 23o7 341 5 4532 563o 6737 7843 8950 ♦o56 1 162 3368 3373 4478 5583 6687 7792 8895 999? iio3 3306 33o8 44ii 7903 9006 ♦ no I3l3 23i6 3419 4521 9101 0220 1 338 2457 3575 4693 58 10 6927 8044 9161 0277 1394 2509 3625 474o 5855 6970 8084 9198 o3l2 1436 2539 3652 4764 5877 6989 8101 9212 o323 1434 3545 3655 5875 6985 8094 9203 o3i2 1 4 30 2538 3636 4744 585i 6958 8o65 9171 0277 1 383 3489 3594 4699 58o4 67986908 8013 91 16 033O i323 2426 3529 4632 93139325 o332Jo443 r45o i563 25692680 3687J3798 48o4!49i6 5932]6o34 703971 5i 81 56 9273 0389 i5o5 3621 3736 4852 5967 7081 8196 9310 0423 i537 265o 3763 4876 8268 9384 o5oi 1617 3732 3848 4963 6078 7193 83o7 9431 o535 1648 3761 3874 4987 59886099 7100 7311 83128323 9323 9434 0434 o546 i656 1 545 2656 3766 2767 3877 476648764987 59866697 7096 8205 93i4 0433 i53i 3639 3747 4854 5962 7069 8175 9383 o388 1494 3599 3704 4809 5914 7010 8i33 9337 o33o 1434 3537 3639 4743 7207 83i6 9435 o533 1642 3750 3858 4965 6073 7179 8286 9393 0498 i6o4 2710 38i5 4930 6025 7129 8233 9337 o44i 1 544 2647 3750 4853 12 3 4 5 6 7 8 9 DifT. Dilf. ic Mult. Ill Diff. I 3 3 4 5 6 7 8 1 a 3 4 5 6 7 8 9 113 324 336 448 56o 672 784 896 III 333 333 444 555 666 777 888 999 I no 3 3 4 5 6 220 33o 440 55o 660 7 8 770 880 990 Diff. t. Molt. LOGARITHMS OF NUMBERS. 53 Num. 3940 4i 43 43 44 45 46 47 48 49 3950 5i 53 53 54 55 56 57 58 59 3960 61 63 63 64 65 66 67 68 69 3970 71 73 73 74 75 76 77 78 79 3980 81 8a 83 84 85 86 87 88 89 3990 9* 9? 94 96 9Z 98 99 Num. 01234 56789 5954962 6064 7166 8268 # 9369 596 0470 1 571 2671 3771 4871 5971 7070 8169 « 9268 597 o367 1465 2563 366i 4758 5855 695JJ 8048 # 9145 5980241 1 336 2432 3527 4622 5717 6811 7905 , 8999 599 0092 1186 2279 3371 4464 5556 6648 7739 883 1 000 ioi3 aio3 3193 4283 5373 6462 755i 864o # 9729 601 0817 1905 '^. 5i68 6255 7341 8428 #95 1 4 5072 6175 7276 8378 9479 o58o 1681 2781 388 1 4981 6081 7180 8279 9378 0476 1575 2673 3770 4868 5965 7063 8r58 9254 o35o i446 2541 3637 473 1 5826 6920 8014 9108 0202 I2q5 23 93 88 5277 6363 745o 8537 9623 5x83 6285 7387 8488 9589 0690 1 791 2891 3991 5091 6191 7290 5293 6395 7497 8598 9699 0800 1901 3ooi 4ioi 520I 63oi 74oo 8389 8499 8609 3481 4573 5665 6757 7849 8940 ♦o3i II23 3213 3303 4392 5482 6571 7660 8749 9838 0926 20l4 3l02 41894398 oi4o I23l 2321 3411 45or 5591 6680 7769 8858 9947 io35 3123 32II 5385 6472 7559 8645 973 1 9488 o586 1684 2782 388o 4977 6074 7171 8268 9364 0460 1 556 265 1 3746 484i 5936 7o3o 8124 9318 o3n i4o4 3497 3590 4682 5774 6866 7958 90499158 0696 1794 2892 3990 5087 6184 7381 8377 9474 0669 i665 3761 3856 4950 6045 7139 8233 9327 0420 i5i4 2606 3699 4791 5884 6975 8067 0249 1 340 243o 3530 4610 5700 6789 7878 8967 ♦o55 1144 3233 3319 4407 5494 658i 7667 8754 9840 54o3 65o5 7607 8708 9810 0910 3011 3iii 4311 53ii 64" 7510 9708 0806 1904 3oo3 4099 5197 6294 7391 8487 9583 0679 1775 3870 3965 5o6o 61 54 7349 8343 9436 o53o 1623 2716 38o8 4901 5993 7084 8176 9267 o358 1449 2539 3629 4719 5809 6898 7987 9076 0164 1353 334o 3438 45i6 56o3 6690 7776 8862 9948 55i3 66i5 7717 8818 9920 1020 2121 3221 4321 5421 6521 7620 8719 9817 0916 20l4 3lI2 4209 53o6 64o3 7500 8597 9693 0789 0898 1884 3980 4075 5169 6264 7358 8453 9546 0639 1732 3825 3918 5oio 6102 7194 8285 9376 0467 1 558 3648 3738 4838 5918 7007 8096 9185 0373 i36i 2449 3537 4624 571 1 6798 7885 8971 ♦o57 5634 6725 7827 8929 ♦o3o ii3i 223l 333 1 443 1 553i 663i 7730 8829 9927 1026 2124 3221 4319 5416 65i3 7610 8706 9802 1994 3089 4x84 5279 637i 7467 856i 9655 0748 i84i 2934 4027 5119 62x1 73o3 8394 9485 0576 1667 2757 3847 4937 6027 7116 8205 9294 o383 1470 2558 3646 4733 5820 6907 7993 9080 0x66 5734 6836 7937 9039 01 4o 1 241 2341 3441 4541 564 1 6741 7840 8939 ♦o37 1x35 3333 333x 4429 5526 6633 7719 88x6 99x3 1008 3io3 3199 4294 5388 6483 7577 8671 9764 o858 1951 3o44 4x36 5228 6320 74x3 85o3 ?4 $5 1776 3866 3956 5o46 6x36 7225 83x4 9402 0491 1 579 2667 3754 4842 5929 70x6 8102 9188 0274 5844 6946 8047 9149 02 5o x35x 345 1 355i 465 X 5751 685o 7950 9048 oi47 X345 2343 3441 4538 5636 6733 5954 7o56 8x58 9259 o36o i46i 256i 366 X 4761 586i 6960 8059 9x58 0257 i355 3453 355i 4648 5745 6843 8935 ♦032 1117 32l3 33o8 44o3 5498 6592 7686 8780 9874 0967 2060 3i53 4245 5338 6429 753X 86x3 9704 0794 1 885 2975 4o65 5x55 6244 7334 8423 95x1 0600 1688 2776 3863 4950 6037 7x24 821X 9297 o383 7829 7939 9035 oi3i 1327 2322 34x8 45x3 5607 6702 7796 8890 9983 1076 2169 336a 4355 5447 6539 7630 8733 9813 0903 1994 3o84 4174 5264 6353 7443 853 1 9620 0708 1797 2884 3972 5o59 6x46 7233 83x0 9405 049 X 12 3 4 5 6 7 8 9 Diff. IXO 109 Diff. Diff. & Mult. 1 110 2 3 4 5 6 230 33o 440 55o 660 7 8 770 880 9 990 I 3 11 3 337 4 436 5 545 6 654 7 763 8 873 9 981 I 3 3 4 5 6 7 8 108 216 334 433 540 648 756 864 973 Diff. & Malt "lll!!aRBIKli;»i:7™' 54 LOGARITHMS OF NUMBERS 12 3 4 5 6 7 8 9 ^7 38. 002 i^yoo 1 686 9771 3856 4941 6025 ■7109 8193 • 9^77 6o3 o36i 1444 3600 4699 5774 6855 7937 9018 6040099 1180 2261 3'34i AAtf 55oo 658o 76S 07* « 9816 6050895 1973 3o5o 4128 52o5 628a 7359 8435 • 951 a 6060587 1 663 1739 38i4 4880 5963 7037 81 1 1 • 9185 6070359 1 33 2 a4o5 3478 455o 66o4 7766 8837 0708 1794 2879 3964 5o49 61 34 7218 83oa 9385 0469 1 552 2635 3717 4800 5882 6964 8045 0817 I903 2988 4073 5i58 624a 73a6 84 10 9494 o577 1660 2743 3826 4906 1769 285 1 3934 5oi6 59906098 7072 8 1 53 91269235 o3i5 1396 0207 1288 2369 3449 452 7'767 8846 9924 looa ao8o 3i58 4236 3^1 3 a477 3557 4637 5716 6688 6796 6903 7875 8953 ♦032 1 1 10 2188 3266 4343 54a I 6390 6498 7467 7574 8543 9619 0695 1771 2846 3921 4996 6071 7145 8219 9??3 o366 1439 25l2 3585 4657 5730 680a 7873 8945 3096 4t8i 5266 6459 754J 8627 971 1 0794 1877 2960 4o42 5i24 6206 7288 8370 9451 o532 161 2 865i 9727 o8o3 1878 2954 4029 5io3 6178 7a52 83a6 9400 0473 1 547 2620 3692 2727 38oo 69097016 7980 9052 8866 9942 1018 2O03 4244 53i8 854i 8087 9159 023o i3oi 2371 3441 45ii 1 143 2228 33i3 4398 5483 6567 765 1 8735 9819 0902 1985 3o68 4i5o 5233 63i5 7396 8478 12S1 2337 342a 4507 5591 66766784 7868 8952 ♦o36 1119 2202 3284 4367 5449 653 1 7613 8694 75o4 8586 9559 9667 9775 0748 i8a8 0640 i7ao a8oi 388i 4961 6a4o6i48 71197227 8198 9277 o355 1434 aSia 4667 5744 68a I 7897 8974 «o5o 435 1 54a6 65oo 7574 8648 5o86 61 58 723o 83o6 9385 o463 i54t 2619 4774 585i 6928 8oo5 9081 01 57 ia33 23o8 3384 )3 9820 0903 1976 3o4s^3 4iai 5iq4 6206 7337 o856 1936 3oi7 4097 5176 6256 7335 84i4 9493 0571 1649 2727 3589 3697 38o5 3912 3639 ^7^7 4724 58o8 6893 7977 9060 0144 1227 a3io 3393 4475 5557 6639 7721 8802 9883 0964 2o44 3i25 42o5 5284 6364 7443 8522 9601 1757 2835 9189 oa65 1 340 a4i6 3491 4566 564i 6715 7789 8863 7144 8a 20 9296 0372 1 448 a523 3599 83o2 8409 93739480 0444 i5i5 2585 3656 4725 53oi 6373 7445 85i6 9587 o658 1739 2799 3870 4939 4832 5917 7001 8o85 9169 oa52 i335 2418 35oi 4583 5665 6747 7829 8910 9991 107a ai52 43i3 539a 6472 755i 863o 9708 06790787 i865 2943 4020 5098 6175 725i 8328 9404 o48o i556 263 1 3706 4674 4781 5748" 6823 7897 8971 oi5i 1225 2298 3371 4443 ai IQO 3263 4336 190636 54o8 55i5 648o6587 755a 86a3 9694 0872 1943 " i3 4o84 5i53 108 MmL 01234 56789 107 Die At Malt. I 107 a ai4 3 321 4 428 5 535 6 64a 7 8 74q 856 9 963 LOGARITHMS OF NUMBERS. 55 DUr. Diir. k. Mah. Num. 4090 61 62 63 64 65 66 67 68 69 4070 71 7a 73 74 75 76 77 78 79 4o8o 81 82 83 84 85 86 87 88 89 4090 91 93 94 98 99 4i 00 01 02 o3 04 o5 06 07 08 09 4i 10 II 12 i3 14 i5 i6 17 18 »9 Num. 12 3 4 5 6 7 8 9 6O8S260 633o 8468 # 9537 6090605 1674 2742 3809 4877 5944 7011 8078 # 9144 6100210 1276 2342 3407 4472 5537 6602 7666 8730 # 97?4 61 1 08D7 192 1 2984 4o46 5109 6171 7233 8295 ♦ 9356 612 0417 1478 * 99^7 6i3 ioi5 2074 3i32 4189 5247 63o4 736i 84i8 * 9475 6i4o53i 1 587 2643 3698 4754 5809 6863 79»8 5367 6437 75o6 8575 9644 0712 1781 2849 3916 4984 6o5i 7118 8184 9261 o3i7 1 383 2448 35i4 4579 5644 6708 7772 8836 9900 0964 2027 3090 4i53 52i5 6277 7339 84oi 9462 0524 1 584 2645 3706 4766 5826 6885 7944 9004 ♦06a 1121 2179 3a37 4295 5353 64io 7467 8524 9580 0637 1693 2748 38o4 4859 5914 5474 6544 7613 8682 975 1 0819 1887 2955 4o23 5090 6157 7224 8291 9357 0423 1489 2555 3620 4685 5750 68i5 7879 8943 ♦007 1070 2i33 3196 4259 5321 6384 7445 85o7 9569 o63o 1691 2751 38i2 4872 5931 6991 8o5o 9109 0168 1227 2285 3343 44oi 5459 65i6 7573 863o 9686 0742 1798 2854 3909 4965 6020 7074 8129 558i 665i 7720 8789 9858 0926 ^994 3062 4i3o 5197 6264 733 1 8398 9464 o53o 1596 2661 3727 4792 5856 6921 7985 9049 ori3 1 176 2240 33o2 4365 5428 6490 7552 861 3 9675 0736 1797 2857 3918 4978 6037 7097 8i56 9215 0274 1 333 2391 3449 4507 5564 6621 7678 8735 9792 o848 1904 2960 4oi5 5070 6125 7180 8234 5688 6758 7827 io33 2101 3169 4236 53o4 6371 7438 85o4 9571 0637 170a 2768 3833 4898 5963 7027 8092 9i56 0219 1283 2346 3409 4471 5534 6596 7658 8719 9781 0842 1903 2963 4024 5o84 6143 7203 8262 9321 o38o 1439 2497 3555 46i3 5670 6727 7784 884i 9897 0954 2009 3o65 4l2I 5176 623i 7285 834o 5795 6865 7934 9003 ♦071 ii4o 2208 3276 4343 54ii 6478 7544 8611 9677 0743 1809 2874 3940 5oo5 6069 7134 8198 9262 o326 1389 a45a 35i5 4578 564o 6702 7764 8826 9887 0948 2009 3069 4i3o 5190 6249 7309 8368 9427 o486 1 544 2603 366i 4718 5776 6833 7890 8947 ♦oo3 1059 2Il5 3171 4226 5281 6336 7391 8445 5902 6972 8o4i 9110 0178 1246 23i5 3382 445o 55x7 6584 7651 8718 9784 o85o 1916 2981 4o46 5iii 6176 7240 83o4 9368 0432 1495 2558 3621 4684 5746 6808 7870 8932 9993 io54 2Il5 3175 4236 5296 6355 74i5 8474 9533 0592 i65o 2708 3766 4824 588 1 6939 7996 9o5a 0109 n65 2221 3276 4332 5387 6442 74?6 855o 6000 7078 8i48 9216 0285 i353 2421 3489 4557 5624 6691 7758 8824 9890 0956 2022 3o88 4i53 5218 6282 7347 84ii 9475 o538 1602 2665 3728 4790 5852 6915 6116 7185 8254 9323 0392 1 460 252.8 3596 4663 5731 6798 7864 8931 9997 io63 2129 3io4 4259 5324 7976 9o38 ♦099 1160 2221 3281 4342 5402 646 1 7521 858o 9639 0698 1756 2814 3872 4930 5987 7044 8101 91 58 0214 1270 2326 3382 4437 5492 6547 7602 8656 7453 85i7 9581 0645 1708 2771 3834 4896 5909 7021 6223 7292 836i 943o 0499 1 567 2635 3703 4770 5837 6904 7971 9637 ♦ io4 1 170 2235 33oi 4366 543i Diff. 6389 6495 8082 9144 0205 1266 2327 3387 4448 55o8 6667 7627 8686 9745 o8o3 1862 2920 3978 5o36 6093 71 5o 8207 9263 0320 1376 2432 3487 4543 5598 6652 7707 8761 7560 8624 9687 0751 1814 2877 3940 5oo3 6o65 7127 8189 9250 o3ii 1372 2433 3493 4554 56i4 6673 7733 8792 9851 0909 1968 3oa6 4o84 5i4i 61QQ 7256 83x3 9369 0425 1482 2537 3593 4648 5703 6758 7812 8867 Q 1 2 3 4 5 6 7 8 9 106 Diff. & Mult. Diff. I 107 a 214 3 321 4 428 5 535 6 642 7 749 8 856 9 963 1 106 2 212 3 3i8 4 424 5 53o 6 636 7 742 8 848 9 954 I io5 2 210 3 3i5 4 420 5 525 6 63o 7 735 8 84o 9 945 Diff. Sc Molt. LOGARITHMS OF NUMBERS. L r 'ill' If Hill* 41tO 2.3 a4 95 m 39 4i 3o 3i 32 33 35 Jkm 37 '38 % 4i 4^ 4i 4? 43 44 45 46 47 48 4i 5o 5i >«JP'jE -54 55 56 5? 58 59 4160 6f 63 63 64 65 '66 67 68 69 4170 71 73 73 74 75 70 77 78 79 film. 12 3 4 5 6 7 8 9 014 8972 61 5 0026 1080 3 1 33 3187 4340 4345 445o 4555 5292 53o7p5o3 6345 645o 6555 7397 7502I7607 84498554865987648870 ♦ 9501 6i6o552 i6o3 3654 3705 4755 58o5 6855 7905 8954 6170003 1052 2 1 01 3 149 4197 5a45 6293 7340 8387 • 9434 618 o48i 1.527 2573 3619 4665 5710 6755 907891839288 01 33 0337 ii85 1291 3339 a344 3292 3397 9606 o657 1708 2759 38 10 9711 0762 i8i3 2 3915 4860 4965 5910 601 5 69607065 8oio8ii5 9059 9164 o586o6oo i632 17J7 2678 2783 3724 3838 4769 4874 58155919 68606964 7800 7905 8009 8845 8949 9054 « 98899994 6190933 1977 3o3i 4664 5 107 6i5o 71 o3 8235 « 9277 6200319 i36i 3402 3443 4484 5534 0108 1 1 57 2206 3254 43o2 535o 6398 7445 8492 9539 02l3 1363 23ll 3359 4407 5|55 65o2 755o 8597 9644 o342 1396 3449|a555 36o8 4661 5713 35o3 56o8 6660 77 '9 66606766 7818 9816 0867 1918 86413969 io38 2082 3i35 4168 5212 6354 7297 8339 9381 0423 i465 25o6 3547 4588 5628 6565 7605 7709 86458744 * 96849780 62107240828 ♦096 1 142 2186 3229 437J 53i6 6359 74oi 8443 9485 o527 1569 2610 365 1 4692 5733 66696773 7813 8853 9893 0933 9394 o448 i5oi 4o3o 5070 61 30 7170 8220 9269 o3i8 1 367 24i5 3464 45 1 2 556o 6607 7655 8702 9748 0795 i84i 3887 3933 4979 6024 7069 8114 91 58 0202 1346 2290 3334 4377 5420 6463 75o5 8548 9590 o63i 1673 2714 3755 4796 5837 6877 79^7 8957 9921 0972 3024 3o74 4i35 5175 6325 7375 8325 9^74 0423 1472 aSao 3569 4617 5664 6712 7759 8806 9853 0900 1946 5o83 6138 7173 8218 9263 o3o7 i35i 2395 3438 448i 5524 6567 7610 8652 9604 0736 1777 3818 3859 4900 5941 6981 803 1 9061 ♦100 1 139 9499960597109815 o553;c)658 0764 1607 1712 2660 2765 3713 4766 58i8 6871 ISll 8975 ♦oa6 1078 2129 3 179 433o 5280 633o 738o 843o 9479 o528 1 577 2635 3673 4721 5769 6817 7864 891 1 9958 1004 3o5o OrClOO 4i43 5i88 6333 7278 8323 9367 o4ii 1455 2499 3542 4586 5629 6671 7714 8756 9798 o84o 38i8 5924 6976 8oa8 1817 2871 3934 4871 4976 9080 9185 9290 9395 oi3i ii83 3334 3384 4335 5385 6435 7485 8535 9584 o633 1683 2730 3778 4826 5874 6921 7960 9016 ♦062 109 ii55 1881 2922 3963 5oo4 6045 7085 8125 9165 0204 1243 II 2 3 20 1 4247 529a 6337 7382 8437 9471 o5i6 i56o 2603 3647 4690 5733 6776 7818 8860 9902 0944 6029 7081 8i33 0237 1288 2339 444o 5490 654o 75oo 8639 9689 0738 1786 2835 3883 4931 0869 1923 2976 4029 5082 61 34 71867 8238 o343 1393 2444 3390 3495 597 7031 8073 9130 0167 I3l3 2260 33o6 435 1 5397 6443 7487 853 1 9576 0620 1664 3708 3751 4794 5837 6880 7922 8964 ♦006 io48 2000 3i5i 4172 5213 6253 7393 8333 926919373 o3o8|o4i2 i347'i45i 1985 3o27 4o68 5io8 6149 7189 8229 9921 0975 2028 3o8i 4i34 5187 6239 393 8344 4545 5595 6645 7695 8744 9794 0843 1 891 2940 3988 5o36 6o83 7i3i 8178 9335 0272 i3i8 2364 3410 4456 55oi 6546 7591 8636 9680 0725 1768 3813 3855 4899 5942 6984 8027 9069 oil] ll52 2194 3235 4376 53i6 6357 73§7 8437 9476 958 o5i6 i555 0447 1498 3549 36oo 465o 5700 6750 7800 8849 9899 0947 1996 3o45 4093 5i4i 6188 7236 8a83 9330 0376 1423 2469 35i5 456o 56o6 665 1 7696 8740 9785 0829 1873 3916 3960 5oo3 6o46 7088 8i3i 9173 02l5 1256 2298 3339 438o 5420 646i 75oi 854 1 o 0620 1659 Diff. 12 3 4 5 6 7 8 9 io5 Diff. & MuIU io4 Difl*. 1 a 3 4 5 6 7 8 9 106 a 213 3 3i8 4 434 5 53o 6 636 7 742 8 848 9 954 io5 3IO 3i5 420 535 63o 735 84o 945 I io4 3 308 3 3l3 4 4i6 5 520 6 624 7 728 8 833 9 936 DiC it MalU LOGARITHMS OF NUMBERS. 67 Num. 4180 81 82 83 84 85 86 87 88 89 4i 90 91 91 93 94 95 96 9Z 98 99 4300 01 03 o3 o4 o5 06 07 08 09 42 10 II 12 i3 i4 i5 16 17 18 19 42 20 31 22 23 24 25 26 27 28 29 42 3o 3i 32 33 34 35 36 37 38 39 12 3 4 5 6 7 8 9 621 1763 2802 384o 4879 5917 6955 79 90 JO 622 0067 iio4 1867 1971 29066009 3944 4o48 4982 5o86 2i4o 3i77 42 1 3 5249 6284 7320 8355 # 9390 623 0424 1459 2493 3527 456o 5594 6627 7660 8693 # 9725 624 0757 1789 2821 3852 4884 5915 6945 7976 9006 625 oo36 1066 2095 6021 7o58 800 9133 0170 1207 2244 3280 43x6 5352 6388 7423 8458 9493 o528 1 562 25< 36jo 4664 5697 6730 7763 8796 9828 0861 1892 6124 7162 8200 9237 0274 i3ii 2348 3384 4420 5456 6491 7527 8562 'If, 1666 2075,2178 3ii3 3217 4i52i4256 5190I5294 62286332 2700 3734 4767 58oi 6834 7867 8899 993 0964 1996 7266 83o3 9341 0378 i4i5 245 1 3487 4524 555( 659 763o 8665 9700 0735 1769 29243027 3956 4987 6018 7048 8079 9109 0139 11" 21 3i25 4i54 5182 6211 7239 8267 # 9295 6260322 i35o 2377 3404 443o 5457 6483 7509 8534 * 9560 627 o585 1610 2634 3227 4256 5285 63i4 7342 8370 9398 0425 1453 2480 35o6 4533 555g 6585 761 1 8637 9662 0687 1712 2737 4o59 5090 6121 7i5i 8182 9212 0242 1272 23oi 333o 4359 5388 6416 7445 2803 3837 4871 5904 6937 7970 9002 ♦o35 1067 2099 3i3o 4162 5193 6224 7254 8285 93i5 0345 1375 2404 3433 4462 5491 65i9 7548 7370 8407 9444 0482 i5i8 2555 3591 4627 5663 6698 7734 8769 9804 o838 1872 84738575 95009603 0528 i555 2582 3609 4636 5662 6688 7714 873 976 0790 i8i4 2839 o63i i658 2685 3712 4738 5764 2906 3940 4974 6007 7040 8073 9106 oi38 1 1 70 2202 3234 4265 5296 6327 7358 8388 9418 o448 1478 2507 3536 4565 5594 6622 765o 8678 9706 0733 1761 2788 38i4 484i 5867 7816 8842 9867 0892 1917 2942 6790 6893 7919 8944 9970 0995 2019 3o44 2282 3321 4359 53 6436 7473 85ii 9548 o585 1622 2386; 2490 3425,3529 44634567 55o2 56o5 65406643 25941 2698 3633 3736 2658 3695 47^ 5766 6802 7837 8872 9907 0942 1976 3oio 4o44 5077 61 1 1 7144 8176 9209 0241 1273 23o5 8280 9312 o344 1 377 2408 3337 3440 4368 4471 5399 55o2 6430 6533 7461 7564 7577 86i5 9652 0689 1726 2762 3798 4834 5870 6906 7941 8976 ♦oil 1045 2079 3ii3 4x47 5i8i 6214 7347 7681 8718 9756 0793 1829 2866 3902 4938 5974 7009 8044 9079 oii4 ii48 2i83 3217 425o 5284 63i7 735o 4671 5709 6747 7785 8822 9859 089" 1933 2^ 4c 5o4i 6077 7ii3 8i48 91 83 0217 1252 2286 8491 9521 o55i i58i 2610 3639 4668 5697 6725 7753 8781 9809 o836 i863 2890 3917 4943 5970 6996 8021 9047 ♦072 1097 2132 3i46 8594 9624 o654 i683 2713 3742 4771 5799 6828 7856 8884 9911 0939 1966 3993 4o2o 5o46 6072 7098 8124 9149 0175 1200 2224 3249 8383 94i5 o448 i48o 25ll 3543 4574 56o5 6636 7667 8697 9727 0757 1786 2816 3845 4874 5903 6931 7959 8987 ♦oi4 1042 2 3 3320 4354 5387 6420 7453 8486 9519 o55i 1 583 2615 4775 58i3 685i 7888 8926 9963 1000 2037 3073 4iO( 5i4 6x81 7216 825i 9286 o32i 1 355 2389 3423 4457 5491 6524 7557 8589 9622 o654 1686 2718 3646 3749 4677 4781 57085812 6739 6842 7770 8800 9830 0860 1889 2919 3948 4977 6oo5 7o33 8062 4l22 5i49 6175 7201 8226 9252 0277 i3o2 2327 335 1 9089 0117 ii44 2171 3198 4225 525i 6277 73o3 8329 9354 o38o i4o5 2429 3454 7873 8903 9933 0963 1992 3022 4o5i 5079 6108 7i36 8164 9192 0220 1247 2274 33oi 4328 5354 638o 7406 8432 9457 0482 i5o7 2532 3556 Nam. 3 4 5 6 7 8 9 Diff*. 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0162 0259 o356 0453 o55o 0647 0744 97 7 672 78 65io84i 0938 io35 Il32 1220 2198 1 326 1423 l520 1617 1714 8 768 79 Num. 181 1 1908 2oo5 2102 2295 2392 2489 2586 2683 9 864 01234 56789 Diffl DiC&Molt 1 ''''*'f!?!'™!!llS[3li!!H!l^Sl!fiP™''''i''"'''"" ii 62 LOGARITHMS OF NUMBERS Main. 4480 8d 83 84 • 85 86 87 88 89 4490 9» 9^ 93 95 96 98 t •( 99 45cx> 01 03 o3 04 o5 06 07 • 08 09 45 10 II la 1 3 i4 i5 16 17 18 «9 45 ao 31 33 a3 34 a5 36 37 38 29 45 3o 3i 32 33 34 35 36 37 38 39 Niun. 12 3 4 1151 2780 2877, 2974 3o7 1 1 3 1 68 3749 3846J3943 4o4o 47 1 9 48 1 5 568715784 66566753 »j3943 491 a 5ti8i 685o 76247731 8503 8600 • 950119657 65a oSaS CJ625 149611593 3463 a56o 343ii35a7 4^97 5364 633i 7297 8a63 • 9a ao 6530195 1160 7818 8786 9754 0722 1690 3657 3624 4591 5558 65 a4 5ooo 5978 6947 4i37 5io6 6075 7043 4^*^ 5461 6427 73947490 836o8456 933519422 0201 1256 31352222 3ooo3i87 o388 i353 0090 4o55|4»5i 50195116 598460806177 6948 791a 8S76 • 9839 654 080a 7044 8008 8972 9935 0899 1765 186a 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8683 9646 0610 1573 3536 3498 4461 5423 6385 7347 83o9 9270 033l 1192 2i53 3ii3 4074 5o34 59946090 8166 9132 0098 io63 2029 39S 4923 5887 6852 7815 8770 9743 0706 1669 2632 3595 4557 5519 648i 7443 84o5 9366 o3a7 1288 2249 3210 4170 5i3o 05990694 i557 25i6 3474 4432 97369831 i653 2612 3570 4528 53905486 63476443 7ao9i'Tr?o5 7401 8166,8263 8358 9i33|92io93i5 ♦o8o'o 176 0373 6954 791 3 8872 0790 1749 2707 3666 4634 558 1 7o5o 8009 8968 %k 1845 2803 3761 4719 5677 7496 ,8454 94ro 'o367 65396635 7592 854o 9506 o463 12 3 4 5 6 7 8 9 Die DiflT. & Mult. 1 I 97 2 194 3 4 & 5 485 6 582 7 679 8 776 9 873 96 I 96 3 3 19a 288 4 384 5 48o 6 576 7 67a 8 768 9 864 Dig-. Die & Mult. LOGARITHMS OF NUMBERS 63 Num. 4540 41 42 43 A4 45 46 47 48 49 45 5o 5i 5a 53 54 55 56 57 58 59 45 60 61 63 63 64 65 66 67 68 69 4570 71 72 73 74 75 76 77 78 79 45 80 81 82 83 84 85 86 87 88 89 4590 91 92 93 94 i 98 99 Nam. 057055 i5i5 2471 3427 4383 5339 6294 7230 8205 * 9159 658 on 4 1068 2023 1234 56789 1 DIff. 2977 3980 4884 5837 6790 7743 8696 » 9648 659060 i553 aSoS 3456 44o8 5359 63io 7a6i 8ai2 * 9162 660 01 1 2 1062 2012 2962 3911 4860 5809 6758 7706 8655 * 9603 661 o55i 1499 3446 3393 4341 5287 6234 7181 8127 ^^ 9073 0620019 0964 1910 3855 38oo 4745 56oo 6634 o654 1611 2567 3523 4479 5434 6390 7345 83oo 9255 0209 ii64 2118 3072 4026 4979 5932 6886 7838 8791 9744 0696 i648 2600 3552 45o3 5454 64o5 7356 83o7 9257 0207 ii57 2107 3o57 4oo6 4955 5904 6853 7801 8750 9698 o646 1593 2541 3488 4435 5382 6320 7275 8221 9168 oii3 1059 2004 2950 3895 484o 5784 6729 0750 1706 2663 3619 4574 553o 6485 7441 83o6 9350 o3o5 1259 22l3 3167 4121 5o74 6028 6981 7934 8886 9839 0791 1743 2695 3647 4598 5549 65oo 745 1 84o2 9352 o3o2 1252 2202 3i5i 4ioi 5o5o 59996094 6948 7896 8844 979^ 0740 1688 2636 3583 453o 5477 6423 7370 83i6 9262 0208 ii54 2099 3o44 3989 4934 5870 6823 0845 1802 2758 3714 4670 5626 658i 7536 8491 9446 o4oo i355 23o9 3263 4216 5170 6123 7076 8029 8982 9q34 0886 i838 2790 3742 4693 5644 6595 7546 8497 9447 0397 1 347 2297 3246 96429 4i 5i45 7042 7991 8939 9034 9887 o835 1783 2730 3678 4625 5571 65i8 7464 84ii 9357 o3o3 1248 2194 3i39 4o84 5oa8 5973 6917 0941 1898 a854 38x0 4766 5721 6676 7632 8587 9541 0496 i4jo 2404 3358 43x2 5265 62x8 7171 8124 9077 ♦029 0982 1934 2885 3837 4788 5740 6690 7641 8592 9542 0492 1442 2392 3341 I 5 240 6189 7x37 8086 9982 0930 X878 2825 3772 4719 5666 66r3 7559 85o5 945i 0397 1 343 2288 3233 4178 5x23 6067 7012 § io37 1993 2949 A 58x7 6772 7727 8682 9637 0591 i545 25oo 3453 4407 536i 63x4 7267 8220 9x72 OI25 1077 2029 298 X 3932 4883 5835 6786 7736 8687 9637 o587 x537 2487 3436 4386 5335 6284 7232 8181 9129 ♦077 1025 1972 2920 3867 48x4 576X 6707 7654 8600 9546 0492 1437 2383 33a8 4273 5217 6162 7x06 Il32 2089 3o45 4oox 4957 5912 6867 7823 8777 9732 0687 i64i 2595 3549 45o2 5456 6409 7362 83x5 9267 0220 1172 2124 3076 4027 4979 5930 688 X 783 X 8782 9732 0682 i632 2582 353i 448i 543o 6378 7327 8275 9224 0172 1 1 20 2067 3ox5 3962 4909 5855 6802 7748 8695 9640 o586 i532 2477 3422 4367 53x2 6256 7201 1228 2x84 3x4x 4096 5o52 6008 6963 7918 8873 9828 0782 1736 2690 3644 4598 555x 65o4 7457 84io 9363 o3i5 1267 22x9 3i7x 4X22 5074 6025 6976 7926 8877 9827 0777 1727 2677 3626 4575 5524 6473 7422 8370 9318 0266 12X4 2162 3109 4o56 5oo3 5950 6897 7843 8789 9735 o68x 1626 257a 35i7 4462 5406 635 1 7295 1 324 2280 3236 4x92 5x48 6io3 7059 8014 8968 9923 0877 i832 2786 3740 4693 5647 6600 7553 85o5 9458 o4io 1 362 23i4 3266 4218 5169 6120 707 X 8021 8972 9922 0872 1822 2772 3721 4670 5619 6568 7517 8465 941 3 o36x 1 309 2257 3 204 01234 567 4i5x 5098 6045 690X 7938 8884 9830 0775 1721 2666 36ii 4556 55oi 6445 7389 14x9 2376 3332 4288 5243 6199 7154 8109 9064 ♦019 0973 X927 2881 3835 4788 5743 6695 7648 8601 9553 o5o6 x458 2410 336i 43i3 5264 62x5 7x66 81x7 9067 ♦017 0967 19x7 2867 38i6 4765 5714 6663 7612 856o 9508 o456 x4o4 235i 3299 4246 5x93 6139 7086 8o33 8978 9924 0870 i8x5 3761 3706 465 1 5595 654o 7484 8 95 DiC&.Mu]U 1 S^ 3 193 3 288 4 384 5 480 6 576 7 673 8 768 9 864 Diff. I 3 3 4 5 6 7 8 I 95 2 3 \T, 4 38o 5 475 6 570 7 665 8 760 9 855 94 188 383 376 470 564 658 752 846 Diff*. k. Malt. 1 11^ mmmm III lllllllllH f|i I 3 .n 3 282 4 376 5 470 6 564 7 658 8 752 9 846 I 2 186 3 279 4 372 5 465 6 558 7 65i 8 744 9 837 01234 56789 Diff. & Mult. LOGARITHMS OF NUMBERS. 65 Num. 4660 61 62 63 64 65 66 67 68 69 4670 71 72 73 74 75 76 77 78 79 4680 81 82 83 84 85 86 87 88 89 4690 91 93 q4 96 98 99 4700 01 02 o3 04 o5 06 07 08 09 4710 II la i3 14 i5 16 17 18 19 12 3 4 5 6 7 8 9 DiflT. 668 3859 479^ 5723 6654 7585 85i6 * 9447 669 0378 i3o8 2239 3169 4099 5028 5958 6887 395214046 4884|4977 58i6 3909 6747 684o 7679 7772 7816 8745 * 9674 6700602 i53o 2459 3386 43i4 5242 6169 7096 8023 8950 # 9876 671 0802 1728 2654 358o 45o6 543 1 6356 7281 8206 91 3o 672 oo54 8610 9540 0471 l402 2332 3262 4192 5l2I 6o5i 6980 8703 9633 o564 1495 2425 3355 4285 52i4 6144 7073 7909 8002 8095 4139 5071 6002 6934 7865 8796 9727 0657 1 588 25i8 3448 4378 53o7 6237 7166 8838 8931 976719859 0695 0788 1623 255i 3479 4407 5334 6262 097 190 2826 3750 4673 5596 65i9 7442 8365 * 9287 673 0209 ii3i 2o53 2974 • 3896 4817 5738 6659 7579 85oo 7189 8116 9042 996 089 1821 2747 3673 4598 5523 6448 7373 8298 9223 0147 1071 1995 2919 3842 4765 5689 6612 7534 8457 9379 o3oi 1223 2145 3067 3988 i^ 583o 6761 7671 8592 1716 2644 3572 45oo 5427 6354 7281 8208 9135 ♦061 0988 1914 2839 3765 4691 56x6 654 1 7466 8391 93x5 0239 ii63 2087 3oii 3934 4858 9024 9952 0881 1809 2737 3665 4592 5520 6447 5781 6704 7627 8549 9471 0393 i3i5 2237 3x59 4080 5ooi 5922 6843 7763 8684 7374 83oi 9228 0x54 1080 2006 2932 3858 4783 5708 6633 7558 8483 9407 o332 X256 2180 3io3 4027 4950 5873 6796 7719 864 X 9564 o486 i4o8 2329 325i 4172 5093 6ox4 6935 7856 8776 4232 5x64 6095 7027 7958 8889 9820 0750 1681 261 1 3541 4471 5400 633o 7259 8x88 9117 ♦o45 0974 X902 283o 3758 4685 56x3 654o 7467 8394 9320 0247 1 173 2099 3o25 3950 4876 58oi 6726 765 1 8575 9500 0424 i348 2272 3196 4119 5o42 5965 6888 781 1 8734 9656 0578 i5oo 2421 3343 4264 5x85 6x06 7027 7948 8868 4325 5257 6188 7120 8o5i 8982 99x3 0843 1774 2704 3634 4564 5493 6422 7352 8281 9200 ox 38 1066 1995 44i845ii 535o 5443 6282 6375 72137306 81448237 2922 385o 4778 5705 6632 7559 8486 94x3 0339 1265 2x91 3x17 4o43 4968 5893 68x8 7743 8668 9592 o5i7 i44i 2364 3288 421 1 5i35 6o58 6981 7003 8826 9748 0670 1592 25i4 3435 4356 5277 6198 7119 8o4o 8960 9075 ♦006 0936 1867 2797 3727 4656 5586 65x5 7445 8373 9302 023x 1x59 2087 3oi5 3943 487 X 5798 6725 7652 8579 95o5 0432 1 358 2284 32IO 4x35 5o6i 5986 691 X 7836 8760 9685 0609 1 533 2457 338o 43o4 5227 6r5o 7073 7996 89x8 9840 0762 1684 2606 3527 4449 5370 6290 72x1 8x32 9052 9168 0099 X029 i960 2890 3820 4749 5679 6608 7537 8466 9395 o324 X252 2x80 3io8 4o36 4963 589X 68x8 7745 8672 9598 o524 145 1 2377 33o2 4228 5x53 6078 46o5 5536 6468 83I0 926 X 0192 1 1 22 2o53 2983 3913 4842 5772 6701 7630 8559 9488 cf4i6 i345 2273 320I 4x29 5o56 5983 691 1 7837 8764 969X 0617 1 543 2469 3395 4320 4698 563o 656i 7492 8423 9354 0285 X2l5 2x46 3076 4oo6 4935 5865 6794 7723 8652 9581 o5o9 x438 2366 3294 422X 5x49 6076 7003 7930 8857 9783 07x0 i636 2562 3487 44i3 70o3 7928 8853 9777 0701 1625 2549 3473 4396 5319 6242 7x65 8088 9010 9932 o854 1776 2698 3619 4541 5462 6383 73o3 8224 9144 52465338 61 71 6263 7096 8021 8045 9870 0794 X718 2642 3565 4488 5412 6335 7257 8x80 9102 ♦025 0947 1868 2790 3712 4633 5554 6475 7395 83x6 9236 7x88 8xx3 9o38 9962 0886 1810 2734 3657 458 1 55o4 6427 735o 8272 9195 0117 1039 1961 2882 38o4 4725 5646 6567 7487 84o8 9328 Nam. 12 3 4 5 6 7 8 9 93 Diff. Diff. Sc Mult. I 93 2 186 3 279 4 372 5 465 6 558 7 65i 8 744 9 837 • I 2 184 3 276 4 368 5 460 6 552 7 644 8 736 9 828 Diff. & Mult. F' 1 il*. H I 66 LOGABITHMS OF N0MBERS. I Mum, 47»0 ai 32 33 3tJ§ 3:5 36 37 38 39 47 ^ 3i 33 33 35 36 3? 38 39 43 43 44 45 46 47 48 49 47 5o 5i 53 54 55 56 57 58 59 4760 61 6a 63 64 65 66 67 68 69 4770 71 72 73 74 75 76 77 78 79 Num. 12 3 4 5 6 7 8 9 « 9430 674 o34o I ado 2179 J099 4oi8 4937 5856 6775 7693 861 1 • 9529 675 0447 i365 2283 3200 4117 5o34 5o5i 6867 7783 8700 • 9615 6760531 1447 2362 3277 4192 5io7 6022 6936 785o 8764 • 9678 677 0592 i5o5 2418 3332 4244 5i57 6070 6082 7894 8806 678 0629 1 540 3452 3363 4273 5i84 6094 7004 7Q14 8824 ♦ 9734 5790643 i553 2461 3370 931a 0433 i352 2271 3191 4iio 5o3 5o48 6867 7785 8703 9621 0539 1457 2374 3292 4209 5126 6042 6969 7875 8791 9707 0623 1 538 2454 3369 4284 5190 61 13 7028 7942 8856 9770 o683 r597 2610 3423 4336 5248 6161 7073 7f85 8897 97189869 960496969788 o5a4 2363 3283 4202 5l2I 6o4o 6958 7877 8795 9713 o63i i54o 2460 3383 43oo 5217 61 34 7o5o 7967 8883 9799 0714 i63o 2545 3460 4375 5290 62o5 711 8o3 8047 9861 0774 1688 2601 35i4 4437 5340 6252 7164 8076 8988 9900 0616 1 536 2455 3375 4394 52i3 6i32 7o5o 7969 8887 9805 0723 i64o 2558 3475 439a 53o9 6226 7142 8o58 8074 9890 0806 1721 2637 3552 4467 5382 7210 8125 0708 1628 2547 3467 4386 53o5 6224 7143 8060 8079 9697 o8i4 1732 2649 3567 4484 5401 63i7 7334 8i5o 9066 9982 0897 i8i3 2728 3643 4558 5473 62966387 7302 8216 9o389i3o 0666 779 2692 36o5 45i8 543i 6343 7255 8168 6434 7347 8259 90799171 ♦082 9991 o8fi 0002 1723 i8i4 2634 2725 3545 3636 4455I4546 0720 i632 2543 3454 4364 5275 5366' 5457 618562766367 7095 71867277 800580968187 8915 9006' 9097 9825 0734 i643 2552 3461 99i6i*oo7 08250016 1734: T025 26432734 3552 3643 #o44 0957 1871 2784 3697 4609 55a 2 0994 looS 2816 3727 4637 5548 6458 7368 8278 9188 0098 1007 1916 2825 3734 9880997a 0800 1720 2639 3559 4478 5397 63i5 7334 8i5a 9070 9988 0906 1824 2741 3658 4575 5492 6409 7325 8242 91 58 ♦073 0989 1905 2820 3735 465o 5564 7393 83o7 9221 oi35 1049 1962 2875 3788 4701 56i3 6526 7438 835o 9262 0173 io85 1996 2007 3di8 472 9279 0188 1098 aoo7 2916 38a5 0892 i8ia 2731 365o 4570 5489 6407 7326 8a44 9162 ♦080 0998 [916 2833 3750 4667 5584 65oi 7417 8333 9240 oi65 1081 1996 291 1 3826 474 1 5656 6479 ^^7^ 7485 0226 ii4o 2o53 2966 3879 4792 5705 6617 7529 844 1 9353 0264 1176 2087 2998 941 5639 6549 7459 83698460 5730 6640 755o ♦064 0984 1904 2823 3742 466i 558o 6499 7418 8336 9254 0172 1090 2007 2925 3842 4759 5676 6592 7509 8425 9341 oa57 1172 2088 3oo3 3918 4833 5747 6662 7576 8490 9404 o3i8 I23l 2145 3o58 3971 4883 5796 6708 7620 8532 9444 o356 1267 2178 3089 4000 4911 58a 1 6731 7641 855i I 1180 209$ 3oo7 3916 9370946 02790370 1280 2180 3098 01 56 1076 1996 2915 3834 4753 567a 6591 75oo 8428 9346 9438 oa64 ii8a 2099 3oi6 3934 485o 5767 6684 7600 85i6 9432 o348 1264 2179 3094 4009 4924 583 675 7667 8582 9495 0409 i323 :? 2236 3 149 4062 4975 5887 6799 7712 8623 9535 0447 i358 2269 3 1 80 409 T 5002 5912 6822 7732 864a 955a o46i 1371 aa8o 3189 4006I4097 0248 1168 ao88 3oo7 3926 4845 5764 6683 7601 8520 o356 1273 2191 3io8 4o25 4942 585o 6775 7692 8608 9524 o44o i355 2271 3i86 4ioi 5oi6 5930 6845 775o 867J 9587 o5oo i4i4 2327 3240 41 53 5o66 5978 6891 7803 8715 9626 o538 1449 236o 3271 4182 5093 6oo3 6913 7823 8733 9643 o55a i46i a37i 3379 4188 DiC 01234 5 6789 9a Dijf. At Molt 9" I 3 3 4 5 6 7 8 9- Diff. I a 3 4 5 6 7 8 9 ?a 4 276 368 46o 553 644 736 8a8 z 273 .1 364 I 455 1 546 m 637 I 728 ■ 819 ■ Diff. 4c Mvh. LOGARITHMS OF NUMBERS 67 Num. 4780 8f 82 83 84 85 86 87 88 89 4790 9' 9? 93 94 96 9Z 98 99 4800 01 oa o3 04 o5 06 07 08 09 48 10 II 12 i3 i4 i5 16 17 18 19 4820 21 aa a3 24 25 26 27 28 29 48 3o 3i 32 33 34 35 36 37 38 39 Num. 0_ 6^94279 5187 6096 7004 7912 8819 * 9727 6800634 i54i 2448 3355 4262 5i68 6074 6980 7886 8792 .0 9697 681 0602 i5o7 2412 33i7 4222 5126 6o3o 6934 7838 8741 # 9645 682 o548 i45i 2354 3256 4i59 5o6i 5963 6865 7766 8668 • 9569 683 0470 1371 2272 3173 4073 12 3 4 5 6 7 8 9 4370 5278 6187 7095 8002 8910 9818 0725 i632 2539 3446 4352 5259 6i65 7071 7977 8882 9788 0693 1598 25o3 3408 43i2 5216 61 ao 7024 7928 8832 9735 o638 4461 5369 6277 7i85 8093 9001 9908 0816 1723 263o 3536 4443 5349 6256 7161 8067 8973 9878 0783 1688 2593 3498 4402 5307 6211 7ii5 8018 8922 9825 0728 455 21 464 2 5460,5551 636816459 i54i i63i 2444 2534 3346 3437 4249 4339 4973 5873 6773 7673 8572 « 9471 684 0370 1269 2168 3o66 3965 4863 5761 6669 7556 5i5i 6o53 6955 7857 8758 9659 o56o i46i 2362 3263 4i63 5o63 5963 6863 7763 8662 9561 o46o i35o 2258 3i56 4o55 4953 585 1 6748 7646 5241 6143 7045 7947 8848 975o o65i i55i 2452 3353 4253 5i53 6o53 6953 7853 8752 9651 o55o 1449 2348 3246 4i44 5o43 5940 6838 7736 7276 8184 9092 9999 0906 i8i4 2720 3627 4534 5440 6346 7252 8i58 9063 9969 0874 1779 3684 3588 4493 5397 63oi 7205 8109 9012 16 otJi9 1722 2624 3527 4429 533 1 6233 7135 8037 8938 9840 0741 1642 2542 3443 4343 5243 6143 7043 >42 8842 974 r 0640 1539 2438 3336 4234 5i32 6o3o 6928 7825 7367 8275 9182 ♦090 0997 1904 2811 3718 4624 553 1 6437 7343 8248 9154 ♦059 0064 1869 2774 3679 4583 5488 6392 7295 8199 9103 ♦006 0909 i8ia 2715 36i7 4520 5422 6324 7225 8127 9029 9930 o83i 1732 2632 3533 4433 5333 6233 7i33 8o32 8932 9831 0730 1629 2527 3426 4324 5222 6120 7018 7915 4733 5642 655o 7458 8366 9273 0181 1088 1995 2902 38o8 47i5 5621 6527 7433 8339 9244 01 5o io55 i960 2865 3769 4674 5578 6482 7386 8289 9193 0096 0999 1902 2805 3707 4610 55i2 64i4 73i6 8217 9119 ♦020 0921 1622 2722 3623 4523 48241491 5 5732 5823 664 1 7549 8456 9364 0271 1179 2086 2992 3899 4806 5712 6618 7524 843o 9335 0240 1145 2o5o 2955 386o 4764 5668 6572 7476 838o 9283 0187 1090 5423 6323 7223 8122 9022 9021 0820 1719 2617 35i6 44i4 53x2 6210 7107 8oo5 ^ 95 3798 4700 56o2 65o4 7406 83o7 9209 0110 lOIl 1912 2812 3713 461 3 55i3 64i3 73i3 8212 9112 ♦oil 0910 1808 2707 36o5 45o4 5402 63oo 7197 8095 673r 7639 8547 9455 o362 1269 2176 3o83 3990 4896 58o2 6709 7614 8520 9426 o33i 1236 2l4l 3o46 3950 4855 5759 6663 7567 8470 9374 0277 1 180 2o83 2985 3888 4790 5692 6594 7496 8398 9299 0200 1101 2002 2902 38o3 4703 56o3 65o3 74o3 83o2 9202 OIOI 1000 1898 2797 3695 4594 5492 6389 7287 8i84 5oo6 5914 6822 773o 5097 6oo5 6913 7821 Diff. Diff. & Malt. 8638 8729 9545 0453 i36o 2267 3i74 4o8o 4987 5893 6799 7705 861 1 9516 0421 i327 223l 3i36 4o4i 4945 5849 6753 7657 856i 9464 0367 1270 2173 3076 3978 4880 5783 6684 7586 8488 9389 0290 1191 2092 ?993 3893 4793 5693 6593 7493 8392 9291 0191 1089 1988 2887 3785 4683 558 1 6479 7377 8274 9636 o544 i45i 2358 3264 4171 5077 5984 6890 7796 8701 9607 o5i2 i4i7 2322 3227 4i3i 5o35 5940 6844 7747 865i 9554 0457 i36o 2263 3x66 4068 4971 5873 6775 7676 8578 9479 o38o 1281 2182 3o83 3983 4883 5783 6683 7583 8482 9381 0280 1170 2078 2977 3875 4773 5671 6569 7466 8364 12 3 4 5 6 7 8 9 90 Diff. I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 I a 3 4 5 6 7 8 9 182 373 364 455 546 637 728 8x9 180 270 36o 45o 540 63o 720 810 178 267 356 445 534 623 712 801 Diff. k. Mult. \ m iii lip' T (I I mi i 31 ' ' if 68 LOGARITHMS OF NUMBERS. Hi 1 2 5 6 7 8 9 084 84^8543 • 93s I 685 0348 ii45 ao4i 3017 3o94 4830 5716 6611 7:5o7 84oa 9297 019a 1087 1982 2876 3770 4665 5558 645a 7346 8289 9i3a ♦025 1602 3787 d68i 4575 5469 6363 7256 8i5o 9043 # 9936 5290 618 1 7073 7964 8855 9746 9835 0726 161 7 25o7 3397 5o786 1593 2490 7865 87fx) 9()55 o55o 1445 2340 3a34 4128 5o22 5916 68 770, 8506 9489 o382 1275 2167 3o6o 3952 4844 5735 6627 7518 8410 9301 01 02 1082 1973 2863 3753 4643 5533 6423 73i2 8201 9745 0640 J 535 ij 7793 8(>85 9578 0471 1 364 2257 3i49 4o4i 4933 5825 6716 7608 8499 9390 0281 1171 2062 2953 384 4732 5622 65ii 74oi 9082 0876 1772 2669 3565 4461 5357 6253 7149 8044 8939 9834 0729 1624 25i8 34i3 43o7 5201 6095 9171 ♦068 0965 1862 2759 3655 455 1 5447 6343 7238 8i34 9029 9024 0819 1713 2608 4396 5290 6184 8775 9668 o56i 1453 2346 3238 4i3o 5022 9090 1756 2645 3533 4421 53o8 6106 7083 7971 8858 9744 o63i i5i8 0957 3621 4509 5397 6285 7172 8059 8946 9833 t>720 1606 4821 571 1 6600 7490 8290 8379 9268 01 57 1045 io34 2822 3710 45o8 5486 6373 7261 8i48 9035 9922 0808 1695 8864 9757 o65o 1 543 2435 3327 4219 5iii 6oo3 6895 7786 8677 9568 0459 1349 a 240 3i3o 4020 6689 7579 8468 9261 01 58 io55 195a 2848 3744 464i 5537 643 a 73a8 2697 3592 4486 538o 6273 7167 8060 8953 9846 0739 i632 2524 3416 4309 5200 Diff. Diff. Sc Mult. o548 1439 2329 3219 4109 3799 4687 5575 6462 735o 8287 9124 ♦010 0897 784 9446 o335 3888 4776 5663 655i 7438 8325 921a 12 3 4 5 6 7 8 9 89 Diff. 1 a 180 3 270 4 36o 5 45o 6 540 7 63o 8 720 9 810 Diff. & Mult. LOGARITHMS OF NUMBERS, 69 Num. 4900 01 oa o3 o4 o5 06 07 08 09 4910 II la i3 14 i5 16 17 18 ^9 4920 21 22 a3 a4 25 26 27 28 29 4930 3i 32 33 34 35 36 37 38 39 4940 4i 42 43 44 45 46 47 48 49 4950 5i 5a 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7 8 9 6901961 a847 3733 46io 55o5 6390 7275 8161 9046 • 9930 691 081 5 1699 2584 3468 4352 5235 6119 7002 7885 8768 # 965t 692 o534 i4i6 22 3ioo 4062 4944 5826 6707 7588 8469 # 9350 6930231 iiii 1991 2872 3752 463 1 55ii 6390 7269 8149 90*7 * 9906 6940785 i663 254 1 3419 4297 5175 6o52 8683 » 9560 6950437 i3i3 2189 3o65 3941 2049 2p36 3822 4708 5593 6479 7364 8249 9134 ♦019 0903 1788 2672 3556 4440 5324 6207 7090 7974 8857 9739 0622 i5o4 2387 3269 4i5i 5o32 5914 6795 7676 8557 9438 o3i9 1 199 2079 2960 3839 4719 5599 6478 7357 8236 9115 9994 0872 1751 2629 35o7 4385 5262 6i4o 7017 7894 8771 9648 o524 i4oi 2277 3x53 4029 2i38 3o24 3910 4796 5682 6567 7452 8338 9223 0107 2760 3644 4528 5412 6295 7179 8062 8945 9828 0710 1593 2475 3357 4239 5l20 6002 6883 7764 8645 9526 0407 1287 2167 3o48 3927 4807 5687 6566 7445 8324 9303 ♦082 0960 1839 2717 3595 4472 535o 6227 7io5 7982 8859 9735 0612 i488 2364 3240 4116 2227 3ii3 3 4 5770 6656 7541 8426 93ii 0196 1080 1965 2849 3733 4617 55oo 6384 7267 81 5o 9033 9916 0798 168 r 2563 3445 4327 5209 6090 6971 7853 8733 9614 0495 1375 2256 3i36 4oi5 4895 5775 6654 7533 84i2 9291 0170 1048 1926 2805 3682 456o 5438 63i5 7192 8069 8946 9823 0700 1576 2452 3328 4204 23i5 320I 4087 4973 5859 6744 763o 85i5 9309 0284 1 169 2o53 2937 3821 47o5 5589 6472 7355 8238 9121 ♦oo4 0887 1769 265 1 3533 44i5 5297 6178 7059 7941 8822 9702 o583 1 463 2344 3224 4io3 4983 5863 6742 7621 85oo 9379 0258 ii36 20l4 2892 3770 4648 5526 64o3 7280 8x57 9034 991X 0787 x663 2540 3416 4291 240412493 3290J337 4176 5062 5947 6833 7718 86o3 9488 0373 1257 2X4l 3026 3910 4793 5677 656o 7444 8327 9210 0092 0975 ihj 2739 3621 45o3 5385 6266 7i48 8029 89x0 9790 0671 i55i 2432 33x2 4191 5071 5951 683o 7709 8588 9467 o345 1224 426 5i5o 6o36 6921 7807 8692 9576 o46i x346 223o 3ii4 18 2102 2980 3858 4736 56x3 6491 7368 8245 9122 9998 0875 1751 2627 35o3 39c 48^ 5765 6649 7532 84i5 9298 0181 xo63 1945 2828 3710 4591 5473 6354 7286 81x7 8998 9878 0759 1689 2520 3400 4279 5x59 6039 6918 7797 8676 9555 0433 I3X2 2x90 3o68 3946 4824 5701 6578 7456 8333 9209 ♦086 0962 1 839 2715 359X 4379 4467 258i 3467 4353 5289 6x24 7010 7895 8780 9665 o55o 1434 23x8 3202 4086 4970 5854 6737 7620 85o3 9386 0269 ii5x 2o34 2916 3798 4680 556i 6443 7324 8205 9086 9967 0847 X727 2608 2670 3556 444-i 5327 62x3 7098 7984 886 975 o638 X522 2407 3291 4175 5o58 5942 6825 7709 8592 2758 3644 453o 54i6 63o2 7187 8072 8957 9842 0726 1611 2495 3370 4263 5x47 6o3o 6914 7797 8680 9474 9563 3488 4367 5247 6126 7006 0357 1240 2x22 3oo4 3886 4768 5649 653 1 74x2 8293 ♦o55 0935 i8i5 2696 0445 i3a8 2210 3092 3974 4856 5737 6619 75oo 838 1 9x74 9262 3576 4455 5335 6214 7094 7885 7973 876418852 9643 o52i 1399 2278 3i56 4o34 491 1 5789 6666 7543 8420 9297 0174 io5o 1926 2802 3678 4554 9780 0609 1487 2366 3244 4l2X 4999 5877 6754 763 1 85o8 9385 0261 1x38 20l4 2890 3766 4642 0143 I023 X903 2784 3664 4543 5423 63o2 7182 8061 8o4o 9818 0697 1575 2453 333i 4209 5087 5964 6842 7719 8596 9472 0349 iaa5 2x02 2978 3854 4729 12 3 4 5 6 7 8 9 Diff. 88 Diff. Diff. & Mult I 3 3 4 5 6 7 8 89 178 267 356 445 534 623 712 80X I 88 2 176 3 264 4 352 5 440 6 528 7 616 8 704 9 792 I 87 a 174 3 a6i 4 348 5 435 6 522 7 609 8 606 9 783 Diff. & Mult. f m LOGARITHMS OF NUMBERS. 71 Num. 5020 21 22 23 24 25 26 27 28 29 5o3o 3i 32 33 34 35 36 37 38 39 5o4o 4i 42 43 44 45 46 47 48 49 5o5o 5i 52 53 54 55 56 57 58 59 5o6o 61 62 63 64 65 66 67 68 69 5070 71 72 73 74 75 76 77 78 79 Num. 01234 56789 Diff*. 700 7037 7902 8767 t 9632 701 0496 i36i 2225 3089 3953 48i6 568o 6543 7406 8269 9132 68906^ 775 1 78 * 70208 1720 2582 3444 43o5 5167 6028 68 77 8612 # 9472 703 o333 1 193 2o54 2914 3774 4633 5493 6352 7212 8071 8930 » 9788 704 0647 i5o5 2363 3221 4079 4937 5794 6652 7509 8366 9223 7o5oo8o 0936 1792 2649 35o5 436o 5216 6072 6927 7782 7124 7989 8854 9718 o583 1 447 23ll 3175 4o39 490J 5766 6629 7493 8356 9218 ♦081 0943 1806 2668 353o 4392 5253 6ii5 76 7837 8698 9559 0419 1279 2i4o 3ooo 386o 4719 5579 6438 7298 81 57 9015 9874 0733 1 591 2449 33o7 4i65 5o23 588o 6738 7595 8452 93099394 oi65 1022 1878 2734 3590 7210 8075 8940 9805 0669 1 534 2398 3262 4i25 4989 5853 6716 7579 8442 93o5 0167 io3o 1892 2754 36i6 4478 5339 6201 7062 7923 8784 9645 o5o5 i366 2226 3o86 3946 48o5 5665 6524 7383 8242 9101 4446 53o2 61 57 7012 7868 18 1677 2535 3393 425i 5io8 23 7680 8537 025t 1107 2820 3676 4532 5387 6243 7098 7953 7297 8162 9027 9891 0756 1620 2484 3348 4212 5075 5939 6802 7665 8528 9391 0254 1 1 16 1078 2840 3702 4564 5425 6287 7148 8009 8870 973 1 0591 1432 23l2 3172 4o32 4891 5751 6610 7469 8328 9187 ♦o46 0904 1763 2621 3479 4337 5194 6o52 6909 7766 8623 9480 o337 1 193 2049 2905 3761 4617 5473 6328 7184 8039 7383 8248 9113 9978 0842 1706 2570 3434 4298 5i63 6025 6888 7752 86i4 9477 o34o 1202 2064 2926 3788 465o 55i2 6373 7234 8095 8956 9817 0677 1 538 2398 3258 4ii8 4977 5837 6696 7555 84i4 9273 Ol32 0990 1 848 2707 3565 4422 5280 6i37 6995 7852 8709 9566 0422 1279 2i35 2991 3847 47o3 5558 64i4 7269 8124 7470 8335 9199 ♦064 0929 1793 2657 3521 4385 5248 6112 6975 7838 8701 9563 0426 1288 2l5l 3oi3 3874 4736 5598 6459 7320 8181 9042 9903 0763 1624 a484 3344 4204 5o63 5923 6782 7641 85oo 935 0211 1076 1934 2792 365o 45o8 5366 6223 7080 7938 8795 965i o5o8 1 364 2221 3o77 3933 4788 5644 6499 7355 8210 7556 8421 9286 oi5i ioi5 1870 2743 3607 4471 5334 6198 7061 7924 8787 9650 o5i2 i375 2237 3099 3961 4822 5684 6545 7406 8267 9128 9989 0849 1710 2570 343o 4290 5i49 6009 6868 7727 8586 9445 o3o3 1162 2020 2878 3736 4594 5452 63o9 7166 8023 8880 9737 0594 i45o 23o6 3162 4oi8 4874 572 658 7440 8295 7643 85o8 9372 0237 IIOI 1966 283o 3694 4557 5421 6284 7147 8010 8873 9736 0598 i46i 2323 3i85 4o47 4909 5770 663i 7492 8353 9214 ♦075 0935 17^ 26* 35i6 4376 5235 6095 6954 7813 8672 9531 o38o 1248 2106 2964 3822 4680 5537 6395 7252 8109 8966 9823 0679 1 536 2392 3248 4io4 495 58i 6670 7526 838 1 7729 8594 9459 o32 1 168 2o52 2916 3780 4644 5507 6371 7234 8097 8 " 22 o685 1 547 2409 3271 4i33 5856 6717 7579 844o 9300 0161 102 1 1882 2742 36o2 446i 5321 6181 7040 7& 87 9617 0475 1 334 2192 3o5o 3908 4765 5623 648o 7338 8195 9o52 9908 0765 1621 2477 3333 4189 5o45 5901 6756 761 1 8466 7816 8681 9545 o4io 1274 2i38 3oo2 3866 473o 5594 6457 7320 8i83 9046 9908 0771 i633 2495 3357 4219 5o8i 5942 6804 7665 8526 9386 0247 1 107 1968 2828 3688 4547 5407 6266 7126 7985 8844 9702 o56i 1419 2278 3i36 3993 485i 5709 6566 7423 8280 9137 9994 o85o 1707 2563 3419 4275 5i3i 5986 684i 7697 8552 3 4 5 6 7 8 9 86 Diff. k, Hult. I 87 2 174 3 261 4 348 5 435 6 522 7 609 8 696 9 783 Diff. I 86 3 172 3 258 4 344 5 43o 6 5i6 7 602 8 688 9 774 I 2 3 4 5 6 7 8 85 170 255 340 425 5io 595 680 765 I I Diff, & MulL Hi ilK II 72 LOGAKITHMS OF NUMBERS. Num. 5080 «i 8a 83 84 85 86 87 88 89 5090 91 9a 93 Oil 95 96 97 98 99^ 5ioo 01 oa o3 04 ■o5 06 07 08 09 5 1 10 II 13 i3 i4 1 5 16 17 18 «9 5i so ai aa a3 24 aS a6 27 a8 29 5i 3o 3i 3a 33 34 35 36 37 38 39 01234 56789 705 8637 * 9492 706 o347 1201 ao55 3910 3764 4617 5471 6325 7ij8 8884 « 9737 707 0589 i44a 3394 3i46 3998 485o 5702 6553 74o5 8a56 9107 • 9957 7080808 1659 i5o9 3359 4209 4294 4379 5o5o 5908 6758 7607 8456 • 9805 709 01 54 ioo3 i85i 2700 3548 4396 5a44 6091 6939 7786 8633 • 9480 7100327 8723 9577 0432 1287 2l4l 2995 384q 4704 5556 64io 7263 8116 8069 982a 0675 1 527 2379 3232 4o83 4935 5787 6638 7490 834 1 9192 ♦043 0893 1744 2594 3444 8808 9663 o5i8 1372 2226 3o8o 3934 4788 5642 6495 7348 8202 9055 9907 0760 889418979 9748 9834 o6o3 1457 33l2 3i66 4020 4873 5727 658 1 7434 8287 9140 1612 1698 2465 3317 4169 5020 5872 6724 7575 8426 9277 0128 0078 1829 2679 3529 1174 aoao a866 3713 4559 5i44 5993 6843 7692 854i 9390 0239 1088 1936 2784 3633 4481 5328 6176 7023 7871 8718 9565 o4i2 5229 6078 6928 7777 8626 9475 o324 1 173 20a I 2869 3717 4565 54i3 6261 255o 34o2 4a 54 5io6 5957 68096894 ia58 aio5 2951 3797 4643 54o4 5489 625o6335 70967180 794118026 8786:8871! 7660 85ii 9362 02l3 io63 1914 2764 36i4 4464 53i4 6i63 701 3 7862 8711 9560 0688 1 543 2397 325i 4io5 4959 58ia 6666 7519 8372 9225 ♦078 0930 1783 2635 3487 4339 5 1 91 6042 0409 0494 1257 aio6 2954 38o2 465o 5498 6345 71087193 7955 8o4o 7745 8596 9447 0298 u48 ^999 2849 3699 4549 5390 6248 7098 7947 8796 9645 88o3 9650 0496 i343 2189 3o3o 3882 4728 5574 64r 726 8110 8955 8887 9734 o58i i4a8 2274 3ian 3966 48i2 5658 65o4 7349 8195 9040 1 34a 2191 3o39 3887 4735 5583 643o 7278 8125 8972 9819 0666 l5l2 2359 32o5 4o5i 4897 5743 6588 7434 8279 9124 90659150 9919*005 0774 0859 1628 1714 2483 3337 4190 5o44 58 67 7604 8457 9310 oi63 ioi6 1868 2720 3572 4424 5276 6128 783o 8681 9532 0383 1233 ao84 3934 3784 4634 5484 6333 7i83 8o32 8881 973o 0579 1427 2275 3ia4 307a 4820 5667 65i5 2568 98598 5i683 3422 4276 5i3o 5q83 37 7690 8543 9396 0248 IIOI 1953 2805 3658 9236 932119406 0090 01 76 0261 4509 4595 536i 6213 7064 79»5 8766 9617 o468 i3i8 2169 3019 0945 "799 2653 3507 436i 52i5 6068 6922 7775 8628 9481 o334 1 186 2039 2891 3743 5446 6298 7149 8000 885i 9702 o553 i4o3 2354 3io4 38693954 48o4 io3o 1 885 2739 3593 4447 53oo 61 54 7007 7860 8713 9566 0419 1271 2124 2076 3838 4680 553i 6383 7234 8o85 8936 9787 o638 1 488 2339 3189 4039 7362 8210 9057 9904 0750 1597 2443 3390 4i36 4982 4719 5569 64i8 7268 8117 8966 9815 o663 i5ia 236o 33093 4o57 4904 5753 6600 5837 6673 75i8 8364 9209 7447 8294 9I4I S35 1683 2538 3374 4330 5o66 5654 65o3 7352 8202 1 1 16 1070 2824 3678 4532 5386 6339 7092 7946 ^?? o5o4 i357 2309 3o6i 3913 4765 5617 6468 7319 8171 9022 9872 0723 1 574 2424 3374 4124 Diff. 9o5i 9900 0748 1597 3445 393 4l4l 6684 5913 6757 7603 8448 9293 7532 8370 9220 ♦073 0920 1766 261 3 3459 43o5 5i5i ^. 7687 8533 9378 5739 6588 7437 8287 91 36 9984 o833 1682 a53o 48894974 5823 6673 7522 .8371 9320 ♦069 0918 1766 261 5 7617 8464 931 1 oi58 ioo4 i85i 2697 3543 4389 5a35 6081 6937 7772 8617 9462 3463 43ii 3378 4326 5o74 5933 6769I6854 5i59 6006 7701 8548 9395 0343 1089 1936 3783 3628 4474 5330 6166 7011 7856 8702 9547 Nom. 01234 56789 Diff. & Molt. 85 Diff. 1 a 3 4 5 6 7 8 9 I 86 2 173 3 258 4 344 5 43o 6 5i6 7 603 8 688 9 774 85 170 255 340 425 5io 595 680 765 Diff. Sl Mult LOGARITHMS OF NUMBERS. Num. 5140 4i 42 43 44 45 46 47 48 49 5i 5o 5i 52 53 54 55 56 57 58 59 5i 60 61 62 63 64 65 66 67 68 69 5i 70 71 72 73 74 75 76 77 78 79 5i8o 81 82 83 «4 85 86 87 88 89 5i 90 91 95 93 94 96 9Z 98 99 01234 56789 # 9681 711 0476 l32I 3i65 3oio 3854 4698 5543 6385 7339 8073 8915 * 9759 7130601 1444 9716)9800 3387 3i29 3q7I 481 3 5655 6497 7339 8180 9021 * 9862 7^3 0703 1 544 2385 3225 4o65 4905 5745 6585 7425 o56i i4o5 225o 3094 3938 4782 5626 6470 73i3 8i57 9000 9843 0686 1528 2371 32i3 4o56 4808 5739 658 1 7423 8264 9105 9946 0787 1628 2469 33o9 4149 4 5 0645 1490 2334 3178 4o23 4867 5710 6554 7398 8241 9084 9927 0770 i6i3 2455 3298 4i4o 4982 5824 6665 7507 8348 9189 ♦o3i 988519969 8264 8348 9104 * 9943 714 0783 1620 2459 3398 4i36 4974 58i3 665o 7488 8325 9162 7i5oooo 0837 29 6669 7509 9187 ♦027 0866 1704 2543 338i 4220 5o58 58 6734 1674 25lO 3347 4i83 6019 5856 6691 7527 8363 9198 7571 8409 9246 oo83 0920 1757 2594 343o 4267 5io3 5939 6775 7611 8446 9282 0871 1712 2553 3393 4233 5073 5913 6753 7593 0729 1574 2419 3363 4107 4951 5795 6638 7483 8325 9168 ♦on o854 1697 I 2539 3382 4224 5o66 5908 6750 75oi 8432 9274 01 1 5 8432 85i6 9271 0110 094 1 78 2637 3465 43o4 5i43 96 5980 346817 7655 8493 9330 0167 roo4 r84i 2678 35i4 435o 5187 6023 6859 7694 853o 9365 0956 2637 3477 4317 5i57 6837 7677 9355 0104 io33 1872 271 1 3549 4387 5226 6o63 6901 7739 8576 9414 025l 1088 1925 2761 3598 4434 5270 6106 6942 7778 o8i4 i65o 25o3 3347 4191 5o35 5870 6723 7566 84io 9253 0096 0939 1 781 2624 3466 43o8 5i5o 5992 6834 7675 85i7 9358 0199 1040 1880 2721 356i 44oi 524r 6081 6921 7761 8600 943o 0278 1117 1956 2795 3633 4471 5309 6147 6985 7833 8660 9497 o335 1171 2008 2845 368 1 45i8 5354 6190 7026 7861 861 3 8607 94499532 ♦o54 0898 1743 2587 3432 4376 5l20 5964 6807 765 1 84o4 9337 0180 I023 i865 2708 355o 4392 5234 6076 6918 7759 8601 9442 0283 1 1 24 1064 2805 3645 4485 5325 6i65 7005 7845 8684 9523 o362 I30I 2o4o 2878 3717 4555 5393 633 7069 7906 8744 958i o4i8 1255 oi38 oo83 1827 2672 35i6 436o 5204 6o48 6892 7735 8578 9421 0264 1 107 1950 2792 3634 4477 53i9 6160 7002 7843 8685 9526 0867 1208 2048 2889 3729 4569 5409 6249 7089 7928 8768 9607 o446 1285 2124 2962 38oi 4639 5477 63i5 0223 1067 1912 2756 36oi 4445 5289 6i32 6976 7819 8663 9506 0349 IIOI 3o34 2876 3719 456i 54o3 6345 7086 7928 8769 9610 045 1 1292 2l32 2973 38i3 4653 o3o7 Il52 1996 2841 3685 4529 5373 6217 7060 7904 8747 54q3 6333 7173 8012 8852 o5jo 1369 2208 3o46 3884 4723 556i 6399 0433 1276 3Il8 2961 38o3 4645 5487 6329 7170 8012 8853 o535 1376 2217 3o57 38q7 4737 Num. 2092 2929 3765 4601 5438 6273 7109 7945 8780 9616 7i53 7336 8074 8911 9749 o586 1423 28 9665 o5o2 1339 2176 3oi2 3849 4685 5521 6357 7193 8029 8864 2259 3096 3982 4769 56o5 644i 7276 8112 8948 969919783 5577 64i7 7257 8096 8936 9775 0614 1453 22QI 3i5o 3968 48o6 5645 6482 7320 8x58 8095 983 0669 i5o6 2343 3i8o 4oi6 4852 5688 1236 2081 2925 3769 46i3 5457 63oi 7145 7988 883 1 9674 o5i7 i36o 2202 3o45 3887 4729 5571 64i3 7254 8096 8937 9778 0619 1 460 23oi 3i4i 3 4 01 21 6524 7360 8196 903 1 9866 566i 65oi 7341 8180 9020 9859 0698 1 537 2375 32i4 4c52 4890 5728 6566 74o4 8241 9079 9916 0753 1590 2427 3263 4nx) 4936 5772 6608 7444 8279 9115 9950 3 4 5 6 7 8 9 10 Diff. 84 Diff. 73 Diff. Ic MuIU 2 3 4 5 6 7 8 9 85 170 255 340 425 5io 595 680 765 I 84 2 168 3 252 4 336 5 420 6 5o4 7 588 8 672 9 756 I 83 a 166 3 249 4 332 5 4i5 6 7 '^, 8 m 9 l4i Diff. & Mult. 74 LOGARITHMS OF NUMBERS. 1 NUIDa 012 34 56789 DiC DiC k. Mult. Tlfi oo33 01 1 7 02001028^ o367 o45i o535 0618 0702 0785 01 o86q i7od 0952 io36 1115 I203 1286 137c 1453 1537 1620 02 1787 1870 195^ 2o37 2121 220^ 2288 2371 2455 o3 2538 2623 2705 2789 3540 3623 2873 3956 3o3§ 3i23 3206 3289 o4 3373 3456 3707 3790 3874 3957 4o4o 4124 o5 4207 4291 43744458 4541 46a5 4708 4791 4875 4958 ^o6 5o42 5r25 5208 5292 5375 545o 6293 5542 5626 5700 5792 ■07' 5876 5950 6793 6043 6126 6209 7043 6376 64606543 6626 oS 6710 6877 6960 7127 7210 7293 7377 7460 09 7544 7627 7710 7794 7877 7960 8044 8127 821 1 8294 I 84 168 252 52 10 8377 846i 8544 8627 8711 87948877 8961 9044 9127 3 3 11 9311 9294 9377 9461 9544 9627 9711 9794 9877 9961 4 <* i«f "• 336 la 7170CJ44 0127 0211 0294 o377 o46i o544 0627 0711 0794 5 Aor% i3 0877 0961 1044 1 127 1 2 10 1294 1 377 i46o 1 544 1627 6 5o4 i4 1710 1794 1877 196*) 2043 2127 2210 2293 2377 2460 7 588 .i5 2543 2626 2710 2793 2876 2959 3o43 3i26 3209 3293 8 672 16 17 3376 4208 3459 4292 3542 4375 3626 4458 3709 4541 3792 4625 3875 4708 3959 479^ 4042 4874 4i25 4958 9 756 18 5o4i 5i24 5207 5290 5374 5457 5540 5623 5707 5790 ^9 5873 5956 6039 6123 6206 6289 6372 6455 6539 6622 52 20 6705 6788 6871 6955 7o38 7121 7204 7287 7371 7454 31 7537 7620 77o3 7786 7870 7953 8o36 81 19 8202 8286 32 8369 845a 8535 8618 8701 8784 8868 8951 9034 9117 23 9200 9283 9367 9450 9533 9616 9609 9782 9865 9949 M 718 0O32 oii5 0198 0281 o364 0447 o53o 0614 0697 0780 25 o863 0946 I030 1112 1 195 1279 1 362 1445 1 528 161 1 96 1694 1777 i86q 1943 2026 2110 2193 2276 2359 2442 27 3525 2608 2691 2774 2857 2940 3o23 3 1 07 3190 3273 :399 3994 47«9 5584 7967 8762 94769556 o35o 1 143 1937 2731 3524 3278 4074 4868 5663 6458 7252 8584 8664 93809460 01760256 0972 io5i 1767 1847 8aoa 0578 1370 2162 2954 3745 4537 5328 8281 9?73 80478 884 1 9635 0429 1223 2016 2810 36o3 2563 3358 4i53 4948 5743 6537 7332 1 26 8930 9714 o5o8 i3o2 2096 2889 3683 42384317439644764555 5i 10 51005269 5348 5962 606a 6i4i 677568546934 7568 7647 7726 836o 9153 98669945 0658 " i45o 2241 3o33 3824 46i6 5407 a32i 3lI2 3904 4695 5486 857086498728 9519 33 1 1)3390 844o 933a «024 0816 1608 2400 3ioi 3983 4774 5565 a64a 3437 4233 5027 58aa 6617 741 1 8206 9000 9794 o588 1 382 2175 2969 3762 65i9 93it oio3 o8o5 1687 2479 3270 4062 4853 5644 o3o9|o388 1 178 1968 2758 3548 12 3 4 Die Diflr. Ic Mult. I fin a 160 3 a4o 4 3ao 5 400 6 480 7 56o 8 64o 9 720 LOGARITHMS OF NUMBERS 79 Diir. Diffl Jb Mult. Nuto. 5500 01 02 o3 o4 o5 06 07 08 09 55 10 II 13 i3 i4 i5 16 17 lo '9 55 20 ai 22 23 24 a5 a6 27 38 29 55 3o 3i 32 33 34 35 36 37 38 39 5540 4i 42 43 44 45 46 47 48 49 55 5o 5i 52 53 54 55 56 57 58 59 Nam. 12 3 4 5 6 7 8 9 740 362713706 4416 5206 5qo5 99' 78/ 6784 7573 8362 9i5i * 9939 74 1 0728 i5i6 23o4 3092 388o 4668 4495 5285 6074 6863 7652 844i 9230 ♦018 0807 1595 •i383 3171 3959 4746 5455 5534 6243 6321 70307109 7817 8604 # 9391 7420177 0964 1750 2537 3323 4109 4895 568o 6466 725i 8o37 8822 # 9607 743 0392 1176 1961 2745 353o 43i4 5098 5882 6665 7449 8232 9016 #9799 744 o582 1 365 - 2147 2930 3712 4495 5277 6059 684 1 7622 84o4 9185 # 9967 7896 8683 3785 4574 5364 61 53 6942 773 1 8520 9308 0097 o885 1674 2462 325o 4o37 4825 56i3 64oo 7187 7974 8761 3864 4653 5443 6232 7021 7810 8599 9387 0176 0964 1752 254i 3328 4ii6 4904 5691 6479 7266 8<:j53 884o 9469 02 56 1043 1829 2615 3401 4187 4973 5759 6544 7330 8ii5 8900 9685 0470 1255 2o39 2824 36o8 4392 9548 o335 1121 1908 3943 473a 5522 63ii 7100 7889 8678 9466 oa55 1043 i83i 2619 3407 4195 4983 5770 6557 7345 8i32 8919 9627 o4i3 1 200 1986 2694 3773 3480 4266 5o52 5837 6623 74o8 8194 8979 9764 o549 i333 2118 2902 3686 4470 355< 4341 5i3o 5916 6702 7487 8272 9057 9842 0627 [4l2 2196 2981 3765 4549 5176 5960 6744 7527 83ii 9094 9877 0660 1 443 2226 3oo8 3791 4573 5355 6i37 6919 7701 8482 9264 ♦o45 5254 6o38 6822 7605 8389 9172 9955 5333 6117 9705 0492 1279 2o65 285 1 3637 4423 5200 5993 6780 7565 835 r 91 36 9921 0705 1490 2275 3o59 3843 4627 54ii 6195 69006979 7684 8467 9250 ♦o34 07380817 l52I 23o4 3o86 3869 465 1 5433 62i5 6997 7779 856o 9342 OI23 1 599 2382 3i65 3947 4729 55ii 6293 7075 7857 8638 9420 0201 4022 481 1 56oi 6390 7179 7968 8756 9545 o334 1122 1910 2698 3486 4274 5o6i 7762 8546 9329 0112 0895 1678 2460 3243 4025 4807 5590 6372 7i53 7935 8717 9498 0279 12 3 4 4ioi 4890 5679 6469 7258 8o47 8835 9624 o4i2 1 201 1989 2777 3565 4353 5i4o 4180 4969 5758 6548 7337 8125 8914 9703 0491 1280 2068 2856 4259 5o48 5837 6626 741 5 8204 8993 9782 0570 1 358 2i46 2935 3644 3722 443 1 5219 5849 6636 7423 8210 8997 9784 o57i i357 2i44 2930 3716 45o2 5288 6073 6859 6937 7644 5928 6715 75o2 8289 9076 9863 0649 1 436 2222 3oo8 3794 458o 5366 6i52 45io 5298 8429 9214 9999 0784 1 569 2353 3i37 3922 4706 5490 6273 7057 7841 8624 9407 0190 0973 1756 2539 3321 4io3 4886 5668 645o 7232 801 3 8795 9576 o357 7722 85o8 9293 ♦078 0862 1647 243 T 3216 4000 4784 5568 6352 7135 7919 8702 6006 6794 7581 8368 9155 994c 0728 i5i5 23oi 3087 3873 4659 5445 623o 7016 7801 8586 9371 01 56 0941 1725 25lO 3294 4078 4862 5646 643o 7214 7997 8781 6o85 6872 7660 8447 9233 4338 5i27 5916 6705 7494 8283 9072 9860 0649 1437 2225 3oi3 38oi 4589 5376 6164 6951 7738 8525 9312 ♦020 0807 1593 2379 3i66 0099 o885 1672 2458 3244 9485 0268 io5i 1 834 2617 3399 4182 4964 5746 6528 73io 8091 8873 9654 0435 9564 o347 ii3o 1912 2695 3952 4737 5523 63o9 7094 7880 8665 9450 0235 1019 i8o4 2588 3373 4i57 4941 5725 65o8 7292 8076 8859 9642 0425 1208 1991 2773 4o3o 48i6 56o2 6387 7173 7958 8743 9528 o3i3 1098 1882 2667 345 1 4235 5019 58o3 6587 7370 81 54 8937 9720 o5o3 1286 2069 2852 3478 4260 5o42 5824 6606 7388 8170 8951 9732 o5i4 3556 4338 5l20 5902 6684 7466 8248 9029 9810 0592 Diff. 3634 44i6 6762 7544 8326 9107 9889 0670 5 6 7 8 9 Diff. & Mult. I 2 3 4 5 6 7 8 79 i58 237 3i6 395 474 553 632 711 I 78 2 i56 3 a34 4 3l2 5 390 6 468 7 546 8 624 9 702 Diff. Diff. 4; Mult, ill 80 Num. MHO 6i 63 63 64 m 66 67 68 69 5570 71 78 73 74 75 70 77 78 79 33 oO 81 Ba 83 84 85 86 87 68 89 5590 91 92 93 od Tr* 95 96 ^ 99 56 00 01 03 o3 o4 o5 06 07 08 09 56 lO' II la i3 i5 16 17 18 19 LOGARITHMS OF NUMBERS. 01234 56789 74507480826 i5a9 1607 23lO 3091 3871 4653 5433 6313 6993 ■777a 855? • 9332 746 01 1 1 0890 1670 2449 3328 4006 4785 5564' 6343 3388 3169 3949 473o 55io 6290 7070 785o 863o 9410 0189 0960 1748 3537 33o6 4084 4863 564i 090410983 i685 2466 3247 4027 4808 5588 6368 7148 7928 8708 9487 0267 1046 1825 7120 7898 8676 • 9454 747 0232 1009 1787 2564 334 1 4ii8 4895 5672 6448 7335 8001 8777 • 9553 748 0329 iio5 1880 2656 343 1 4206 4981 5756 653 1 73o6 8080 8854 • 9629 749 o4o3 1 177 1950 1724 6420 7198 7976 8754 9532 o3io 1087 1864 3643 3419 4196 4973 5749 6526 73o2 8079 8855 9631 o4o7 1 182 2605 3383 4162 4941 5719 6498 7276 8o54 8832 9610 o387 ii65 1942 2719 3497 4273 1763 2544 3325 4io5 7226 8006 9565 o345 1 1 24 1903 2682 3461 4240 1060 i84i 2623 34o3 4i83 48864964 5666 5744 6446|6524 73o4 8084 87868864 9643 0423 1203 1981 3760 3539 43i8 5019.5097 5797 5875 5o5o 5827 66o3 738o 8i56 8932 9708 0484 1260 1958 2733 35o9 4284 5o59 5834 6608 7383 8157 8932 9706 o48o 1254 2028 2801 6575 7354 8i32 8910 9687 o465 1243 2020 3574 435i 3498 3575 4271 '4348 5o44 5i22 58175895 65906668 2o35 281 1 3586 436 1 5i36 5911 6686 746o 8235 5i28 5905 6681 7458 8234 9010 97869863 o563 1 337 3Il3 2888 3664 5ai4 5981 676. 7538 83i2 90099087 6653 743i 8210 8987 9765 0543 l320 2098 2875 3652 4429 53o6 5982 6759 7535 83ii 9087 0639 i4i5 3190 3966 3741 44394516 5391 6066 684i 7615 8 9938 0712 97839861 0557 o635 1 33 1 i4o9|i486 2Io5 2l83 236o 2879 ^9^6 3o34 3652 373o 38o7 44a6 45o3|458o 519952765353 597260496127 6745 6822 6899 1 1 38 1919 2700 348i 4a6i 5o42 5822 6602 7382 8162 8942 9721 o5oi 1280 2059 2838 36i7 4396 5i74 5953 6731 7509 8287 9065 9843 0621 1398 2175 3953 3730 45o7 5283 6060 6836 7613 8380 9165 9941 0717 1492 1217 1998 2778 3559 4340 5l20 5900 6680 7460 8240 9020 9799 0579 1 358 2i37 2916 3695 4474 5252 6o3i 6809 7587 8365 9'43 9921 0698 1476 2253 3o3o 38o7 4584 536i 6i38 6914 7690 8467 9243 ♦019 0794 1570 1295 3076 3856 3637 4418 5198 5978 6758 7538 83i8 9098 9877 0657 1436 23l5 2994 3773 4552 533o 6108 1373 3 1 54 2934 3715 5276 6o56 6836 7616 i45i 2232 3oi3 3793 44964574 6887 7665 8443 9221 9998 9176 9955 0735 i5i4 2293 3072 385 1 4629 5408 6186 6965 7743 8521 9390 ♦076 0776 0854 2268 3o43 3819 4594 5369 6144 6918 7693 8467 9242 ♦016 0790 1 564 2337 3iii 3884 4658 543 1 6204 6977 7054 2346 3i2I 3896 4671 5446 6221 6996 7770 8545 9319 0093 0867 1641 34i5 3i88 3962 4735 55o8 6281 i554 233i 3io8 3885 4662 5439 5354 61 34 6914 7694 83968474 i63i 2409 3i86 3963 4740 55i6 62156293 6993 7009 7768 - - 8544 9330 0096 0872 1648 2423 3198 3974 4749 5524 6299 7073 7848 8622 9396 0170 0944 1718 2493 3266 4039 4812 5585 6358 7i3i Nain. 7846 8623 9398 0174 0950 1725 35oi 3276 4j5i 4826 56oi 6376 7i5i 7925 8700 9474 0348 1022 1796 2569 3343 4ii6 4890 5663 6436 7209 9354 ♦o33 o8i3 1593 2371 3i5o 3929 4707 5486 6264 7042 7821 8598 9376 01 54 0932 709 3486 3363 4o4o 4817 5594 6371 7147 7923 025l 1027 i8o3 2578 3354 4129 4904 5679 6453 7228 8oo3 8777 9551 o325 ;??? 2647 3420 4194 4907 5740 65i3 7286 12 3 4 5 6 7 8 9 Dir. 78 Diff. Diff*. k. Muit. I 2 3 4 5 6 7 8 9 i58 337 3i6 395 474 553 632 711 I 3 3 4 5 6 7 8 9 I 78 a i56 3 234 4 3l2 5 390 6 468 7 546 8 624 9 702 77 i54 33l 3(>8 385 462 539 616 693 Diff. k. Malt. LOGARITHMS OF NUMBERS. 81 Num. 5620 21 aa 23 34 25 26 27 28 39 56 3o 3i 32 33 34 35 36 37 38 39 56 40 4i 42 43 44 45 46 47 48 49 56 5o 5i 52 53 54 55 56 57 58 59 56 60 61 62 63 64 65 66 67 68 69 5670 71 72 73 74 75 76 77 78 79 Num. 1 3 4 5 6 7 8 9 749 7363 1 7440 8i36 82i3 8908 * 9681 750 0453 1225 1997 2769 3541 43i2 5o84 5855 6626 7398 8168 8939 » 9710 75 1 0480 I25l 2021 2791 356 1 433 1 5ioi 5870 6639 7409 8178 8947 * 9716 752 o484 1253 2022 2790 3558 4326 5094 5862 6629 7397 8164 8932 * 9699 753 o466 1232 '99? 2766 3532 4298 5o65 583 1 6596 7362 8128 8893 * 9659 754 0424 1189 1954 2719 8986 9758 o53o i3o2 2074 2846 36i8 4390 5i6i 5932 6704 7475 8246 9016 9787 o557 i328 2098 3868 3638 4408 5i77 5947 6716 7486 8255 9024 9793 7518 8290 9063 9835 0608 i38o 2l52 2924 3695 4467 5238 6010 6781 7552 8323 9093 9864 o634 i4o5 2175 2945 3715 4485 5254 6024 6793 7563 8332 9101 9870 7595 8368 9140 9913 o685 1457 2229 3ooi 3772 4544 53 1 5 6087 6858 7629 8400 9170 9941 071 1 1482 2252 3o22 3792 4562 533 1 6101 o56i i33o 2098 2867 3635 44o3 5171 5939 6706 7474 8241 9008 9775 o542 1 309 2076 2842 3609 4375 5i4i 5907 6673 7439 8204 8970 9735 o5oo 1265 2o3o 2795 7672 8445 9217 9990 0762 1 534 23o6 3078 385o 4621 5392 61 64 6935 7706 8477 9247 ♦018 0789 1 559 2329 3099 3869 4639 5408 6178 o638 1 407 2175 2944 3712 4480 5248 6oi5 6783 7550 83x8 9085 9852 0619 i386 2X52 2919 3685 4452 52x8 6870 7639 84o. 917 9946 07x5 x484 2252 3020 3788 4556 5324 6092 6860 7627 8394 9162 9929 0696 1462 2229 2996 3762 4528 5294 5984 6750 75x5 828X 9046 9812 o577 x342 2x07 2872 6060 6826 75c 8357 9123 6947 7716 8485 9254 ♦023 0792 i56o 2329 3097 3865 4633 540 X 6169 6936 7704 847T 9238 ♦oo5 0772 1539 23o6 3072 3839 46o5 5371 6x37 6903 7668 8434 9199 9888 o653 i4i8 2i83 2948 9965 0730 1495 2260 3o25 775o 8522 9295 ♦067 7827 8599 9372 0144 08390916 1611 2383 3x55 3927 4698 5470 6241 70x2 7783 8554 9325 0095 0866 1 636 2406 3176 3946 4716 5485 6255 x688 2460 3232 4oo4 4775 5547 63i8 7089 7860 863 1 9403 0172 0943 1713 2483 3253 4023 4793 5562 6332 7904 8677 9449 0221 0994 1766 2538 3309 4081 4853 5624 6395 7166 7937 8708 9479 0249 1020 1790 256o 7981 8754 9526 0299 1071 x843 26x5 3387 4i58 4930 5701 6472 7243 8014 8785 9556 0326 1097 1867 2637 7024 7793 8562 933 r 0x00 7101 7870 8639 9408 0177 0869 0946 x637 2406 3x74 3942 4710 5478 6246 70i3 7781 8548 93x5 0082 0849 16x6 2382 3x4? 3915 4682 5448 62x4 6979 7745 85xx 9276 ♦o4x 0806 i57X 2336 3ioi 1714 2483 3 2*5 1 4019 4787 5555 6322 7090 7857 8625 93 01D9 0926 1692 333o 4ioo 4870 5639 6409 7178 7947 8716 9485 3407 4x77 4947 57«6 6486 8059 883i 9604 0376 xi48 X920 2692 3464 4235 5007 5778 6549 7320 8091 8862 9633 o4o3 1174 1944 2714 3484 4254 5o24 5793 6563 Diff. 7255 8024 8793 9562 62540331 2459 3226 3992 4758 5524 629 7o56 7822 8587 9353 0118 o883 i648 24x3 3x78 X023 I79X 2559 3328 4096 4864 563 X 6399 7167 7934 8701 9469 0236 1002 1769 2536 33o2 4069 4835 56oi 6367 7x33 7898 8664 9429 oxo4 0959 1724 2489 3254 1099 1868 2636 3404 4172 4940 5708 6476 7243 80x1 8778 9545 o3x2 1079 1 846 2612 3379 4x45 49x1 5677 6443 7209 7975 8740 9506 7332 8x01 8870 9639 o4o8 1176 1945 2713 3481 4249 5oi7 5785 6553 7320 8088 8855 9622 0389 xx56 X922 268. 345 4222 4988 5754 6520 7286 8o5i 88x7 9582 027X io36 x8oi 2566 333o o347 1X12 1877 2642 3407 Diff. & Mult. 77 I 77 2 i54 3 23 I 4 3o8 5 385 6 462 7 539 8 616 9 693 01234 56789 I 76 a iSa 3 328 4 3o4 5 38o 6 456 7 533 8 608 9 684 I Diff. Diff. & Mult. I a 82 LOGARITHMS OF NUMBERS. Nnin. , » 2 3 5 6 7 TM 34«3 4248 5oia 5777 634 1 3636 44oi 5i65 7457 Saai 89098985 4937 5700 646a 7224 7987 8749 • 9510 7560272 io34 1795 2556 33i8 8ao8 9001 97499825 o588 5oi4 5776 6538 73oi 8<>63 1275 ao38 2802 3564 4327 Sooo 5852 66i5 7377 8139 3713 4477 5242 6006 6770 7534 7610 8374 91 38 9901 o665 3866 394a 4oio 463o 4707 i352 2u5 2878 364 1 44o3 8825 8901 95879663 40794 484o 56 4198 4956 o485 1243 2001 2759 35i6 4274 5o3i 8286 9044 0770 1 536 2290 3o49 38o8 o846 1606 2366 3ia5 3884 4568 4644 53a754o3 60866162 6845 6920 7603 7679 8362 9120 9803 9878 0637 1395 2077 2835 3592 435o 5i07 578915864 6546 662 1 73o3 8060 8816 7378 8438 9196 9954 0712 1470 2153I2228 2986 3744 2910 3668 4425 5i83 45oi 5258 594016016 6697 6773 8i35 82ii 8892I8968 753o 8287 9043 01234 56789 DiflT.tMult. I I 77 2 1 i54 3 23l 4 3o8 5 385 6 462 7 539 8 616 9 693 76 I 76 3 iSa 3 aa8 4 3o4 5 38o 6 456 7 532 8 608 9 684 DiflT. DiflT. & Malt ■■■ LOGARITHMS OF NUMBERS. 83 Num. 5740 4i 42 43 44 45 46 47 48 49 57 5o 5i 5a 53 54 55 56 57 58 59 5760 61 6a 63 64 65 66 67 68 69 5770 71 72 73 74 75 76 77 78 79 5780 81 82 83 84 85 86 87 88 89 5790 91 9a 93 94 96 98 99 Num. 12 3 4 5 6 7 8 9 DiflT. Diff. ic Mult. 758 91 19 # 9875 7590632 1 388 2144 2900 3656 44i2 5i68 5923 6678 7434 8189 8944 # 9699 760 0453 1208 1962 2717 3471 4225 497' 573 6486 7240 T^l 8746 * 9500 761 0253 ioo5 1758 25ll 3263 4oi6 4768 5520 6272 7024 7775 8527 9278 762 oo3o 0781 1 532 2283 3o34 3784 . 4535 5285 6o35 6786 7536 8286 9035 # 9785 763 o534 1284 2o33 2782 353i 9195 9951 0708 1 464 2220 2976 3732 44V>^ 5243 5999 6754 7509 8264 9019 9774 0529 1283 2o38 2792 3546 43oo 5o54 58o8 6562 73i5 9270 ♦027 0783 1539 2296 3o52 3807 4563 5319 6074 683o 7585 «34o 9095 9830 0604 135^ 211 2867 3622 4376 5t3o 5883 6637 7390 80688144 8822 9575 0328 1081 i833 2586 3338 4091 4843 5595 6347 7099 785 1 8602 88c 9650 o4o3 ii56 1009 2661 34r4 4i66 5670 6422 7174 7926 8677 9354 9429 oio5oi8o o856oq3i 9346 0102 o859 i6i5 2371 3r27 3883 4639 5394 61 5o 6905 7060 84i5 9170 9925 0680 1434 2189 2943 3697 445 1 52o5 5959 6712 7466 8219 8972 9725 0478 I23l 1984 2737 3489 4241 4918 4993 1607 2358 168 2433 3109 3i84 38593934 4610,4685 536015435 6rii;6i86 68616986 7611I7686 836i|8435 9110I9I85 98609935 06090684 1359 1434 2io8,2i83 2857 2939 36o6 368i 5745 6497 7249 8001 8752 95o4 0255 1006 1757 25o8 3259 4009 4760 55io 6261 7011 7761 85io 9260 ♦010 0759 1 509 2258 3oo7 3756 9422 0178 0934 1691 2447 32o3 3959 4714 5470 6225 6981 7736 8491 9246 ♦000 0755 i5io 2264 3oi8 3772 4526 5280 6o34 6788 7541 8294 9048 9801 o554 1 307 2059 2812 3564 43x6 5069 5821 6573 7324 8076 8828 o33o 1081 1 83a 2583 3334 4o85 4835 5585 6336 7086 7836 8585 9335 oo85 o834 1 583 2333 3082 383 1 9497 0254 lOIO 1766 2522 3278 4o34 4790 5545 63oi 7o56 7811 8566 9821 0076 o83i 1 585 2339 3094 3848 4602 5356 6109 6863 7616 8870 9123 9876 0629 1 382 21 34 2887 3639 4392 5i44 5896 6648 74oo 8i5i 8903 o4o5 ii56 1907 2658 3409 4i6o 4910 566o 64ii 7161 79" 8660 9410 0160 0909 i658 2408 3i57 3906 9573 0829 1086 1842 2598 3354 4iio 4865 5621 6876 7182 7887 8642 9897 oi5i 0906 1661 24i5 816 392 4677 543 1 6i85 6988 7092 8445 91^8 993 1 0704 1457 2210 2962 8715 4467 5219 5971 6728 7475 8226 8978 9654I9729 o48o 1282 1982 2788 8484 4285 4985 5735 6486 7286 7986 8785 9485 0235 o3 0984 1788 2482 8232 3980 9649 o4o5 1161 1917 2674 3429 4i85 4941 5696 6452 7207 7962 8717 9472 0227 0981 1786 2490 8245 8999 4753 55o6 6260 7014 7767 8520 9274 ♦027 0780 1 532 2285 8087 8790 4542 5294 6046 6798 755o 8801 9053 9804 o556 1807 2o58 2808 3559 43io 5o6o 58io 656i 7811 8061 8810 9560 no 1059 1808 2557 33o6 4o55 9724 o48i 1287 1998 2749 35o5 4261 5oi6 5772 6527 7288 8o38 8798 9548 o3o2 io57 1811 2566 8820 4074 4828 5582 6335 7089 7842 8596 9849 0102 o855 1608 2860 3ri8 8865 4617 5869 6121 6878 7625 8377 9128 9879 0681 1882 ai33 2883 4385 5i35 5885 6636 7886 8186 8885 9685 o385 ii34 i883 2682 388 1 4i3o 9800 o556 i3i8 2069 2825 858 1 4336 5092 5848 66o3 7858 8118 8868 9628 0378 1182 1887 2641 8895 4149 4908 5657 64ii 7164 7918 8671 9424 0177 0980 1688 2435 3i88 8940 4698 5445 6197 6948 7700 8452 9208 9955 0706 1457 2208 2959 8709 4460 52IO 5960 6711 746 1 8211 8960 9710 0459 1209 1958 2707 3456 42o5 12 3 4 5 6 7 8 9 DiflT. 1 2 3 4 5 6 7 8 76 iSa 228 3o4 38o 456 532 608 684 I 75 2 i5o 3 225 4 3oo 5 875 6 45o 7 525 8 600 9 675 I 74 a i48 3 222 4 396 5 870 6 4U 7 5i8 8 592 Q 666 s ft Diif. k. Malt. I 84 LOGAEITHMS OF NUMBERS. Mum. WOO oi oa o5 06 12 3 4 ©7 09 58 10 II 12 14 1 5 16 17 18 19 58 20 a I 33 25 26 103 4280 5029^ 5777 6526 7274 8022 8770 • 9518 7640266 ioi4 1761 25«9 3256 4oo3 475o 5497 6244 6991 7737 8484 4355 5io4 5852 6601 7349 8097 8845 9593 o34i 1089 1 836 2583 333 1 4078 482S 4430j45o5 5178.5253 59276002 6675,6750 7424 7499 817a 8920 8995 5572 63i9 7065 7812 8558 9668 o4i6 ii63 191 1 2658 3406 4i53 8247 9743 0490 ia38 1986 2733 3480 4227 ♦ 9976 765 0722 1468 2214 49004974 564? 6393 7140 7886 8633 5721 6468 7215 7961 8707 9230 93o4 9379 9454 ♦o5i 0797 1542 2288 2959 3o34 3705 3779 012:50200 '0871 i6r7 2363 3io8 3r83 38543928 4579 5328 6077 68a5 7573 8321 9070 9817 o565 i3i3 2060 2808 3555 43o2 5o49 5796 6543 728? 8o36 8782 95a8 0^74 loao 1766 25l2 45 46 47 48 49 58 5o 5i "Jf'i"* 53 54 55 56 57 58 59 I 7845 8588 o33i 7672074 0816 1559 23oi 3o43 3785 4527 5269 6011 6752 7494 8235 0706 i45o aio5 29J8 3682 4426 5 169 5913 6(>56 7399 7994|8o68l8i42 8737 881 1 8885 947995549628 0222102960371 iii3 7919 8662 94o5 oi48 089010965 10^9 1 633 1707 2375 2449 3117319a 3859 4601 3934 4676 1781 25a4 3266 4oo8 475o 5492 5343 5417 6o85|6i596233 682616901 6975 7568I7642I77F6 83o9 8383 8457 i856 2598 334o 4o8a 4824 5566 63o7 7049 7790 853i 5 6 7 8 9 4654,4729:480448794954 5628 5702 540315478 61 5i 62266301 69006975 7648 8396 9*44 9592 o64o 1 388 2i35 a882 77a3 8471 9219 9967 0715 1462 2210 2957 5553 7o5o 7798 363o37o4 43774451 51245198 5871 6617 7364 8110 8857 5945 6692 7439 8i85 8931 96039678 0349 0424 1095 i84i 2586 1 1 70 1915 a66i 8546 9294 ♦042 0789 1 537 2285 3o32 3779 4526 5273 6020 6767 75i3 8260 9006 9752 0498 1244 6376 7124 7873 8621 645i 7199 7947 8696 93699443 01 17 0864 1612 2359 3i07 3854 4601 5348 60956169 6841 6916 7588 7663 8334 8409 9081 9155 9827 0573 . . i3i9 1990 2o65 27362810 9901 0647 1393 2139 2885 I 2072 34i4 4i56 4898 564o 638i 7ia3 7864 8606 2004 2746 3488 423o 4972 5714 6456 71Q7I7271 79J8 8or3 86808754 5862 6604 7345 8087, 8828 ( Diir. ViC ac Mult. 12 3 4 I 75 2 i5o 3 225 4 3oo 5 375 6 45o 7 525 8 600 9 675 I 74 2 i48 3 222 4 296 5 370 6 Ui 7 5i8 8 592 9 666 Diff. k. Malt LOGAEITHMS OF NUMBERS 8d Num. 5860 61 62 63 64 65 66 67 68 69 5870 71 72 73 74 75 76 77 78 79 58 80 81 82 83 84 85 86 87 88 89 5890 91 93 94 96 97 98 99 59.00 01 02 o3 o4 o5 06 07 08 09 59 10 II 12 i3 i4 i5 16 17 18 19 Num. 12 3 4 5 6 7 8 767 8976 • 9717 7680458 1199 1940 2680 3421 4r6i 4901 5641 638 1 7121 7860 8600 • 9339 7690079 0810 1 557 2296 3o35 3773 45i2 SjSo 5988 6727 7465 8203 8940 • 9678 7700416 ii53 1890 2627 3364 4101 4838 5575 63ii 7048 7784 8520 9266 • 9992 771 0728 i463 »io9 2934 3670 44o5 5i4o 5875 6610 7344 8070 88i3 • 9547 772 0282 1016 1750 2483 2754 3495 4235 4975 5715 6529 269 008 5i72i 8> oi53 0892 i63f 2370 3 108 3847 4586 5324 6062 6800 1227 1964 2701 3438 4175 4912 5648 6385 7121 7858 2828 3569 4309 5o49 5789 8748 9487 0227 0966 1705 2444 3182 3921 4659 5398 61 36 6874 7612 835o 9088 9826 o563 2902 3643 4383 5i23 5863 o3oo io4o 1779 25i7 3256 9273 ♦oi4 0754 2236 2976 3717 4457 5 107 5937 6677 7417 8i56 8896 9635 o374 iir4 i852 2591 333o 4069 4807 5546 6284 7022 2273 3oo8 3743 4478 52i3 5948 6683 74i8 8i52 8887 9621 o355 1089 1823 2557 7686 8424 9163 9899 0637 1 374 2111 2849 3585 4322 5o59 5796 6532 7269 8oo5 8741 9477 02l3 0949 1684 2420 3i55 3890 4625 536o 602216095 67576830 8667 94o3 0139 0875 161 1 7491 8226 8960 7565 8299 9034 9694 9768 " o5o2 1236 1970 2704 88i5 9551 0286 1022 1758 2493 3229 3964 4699 5434 6169 6903 7638 8373 9107 9841 0575 i3o9 2043 2777 9347 0088 0829 1569 23lO 3o5o 3791 453 1 5271 6011 o448 1 187 1926 2665 34o4 7834 8571 9309 ♦047 0784 l522 2259 4470 5206 5943 6679 7416 8i52 8888 9624 o36o 1096 i83i 94?5 02 36 3 1 24 3865 46o5 5345 6o85 3198 3939 4679 5419 6159 1 791 2532 3273 4oi3 4753 5493 6233 6825 6809 7565 83o4 9044 9783 0522 1261 2000 2739 3478 7639 8378 91 1« 9857 0596 335 2074 28i3 3552 4290 5029 5767 65o5 7243 7907 8645 9383 0121 o858 1595 2333 3070 3807 4543 5280 6017 6753 7489 8226 6242 6977 7712 8446 9180 9915 0649 i383 2117 285o 2640 3376 4iii 4846 558 1 63t6 7o5o 7785 85i9 1669 2406 3 143 388o 4617 5354 6090 6827 7563 3347 4087 4827 5567 63o7 7047 7787 8526 9265 ♦oo5 4364 5io3 584 1 6579 7317 8o55 8793 953o 0268 ioo5 5427 6164 6900 7637 8299 8373 1817 2554 3291 4028 4764 925493 9035 9771 o5o7 1243 1978 2714 3449 4i84 4919 5654 6389 7124 7858 8593 '27 9109 9845 o58i i3i6 2o52 6463 7197 7932 8666 9401 2861 3596 433i 5o66 58oi 6536 7271 8oo5 8740 9474 0208 0942 1676 2410 3i44 Di3 5460 6173 6886 7599 83i2 9024 • 97379808 785 o45o oSa I 1 162 1233 1874 1945 2586 2658 1958 2674 3389 4io4 4819 5534 6249 6964 7678 8393 9107 9821 c>536 laSc) 1963 2002 2719 3431 41 53 4870 5586 63o3 7019 7735 6244 6957 7"70 8383 9883 0599 i3i4 2o3o 3745 3461 4176 4891 56o6 6321 7o35 77 5o 8464 9179 9893 0607 l32I 2074 2791 35o8 4225 4941 5658 6374 7091 7807 8523 923 0670 1 386 2102 2817 3532 4247 4962 5677 639a 7107 7821 8536 353a 425o V, 64o5 7123 7841 8550 9276 9994 0711 1428 2i46 2863 3579 4290 5oi3 5729 6446 7162 7878 8594 93io ♦026 0742 i458 2173 2888 36o4 4319 3034 5749 6464 7178 7893 8607 925093 20. .. 1392 35 a 1 06 a749 a8ao '■3534 4247 4960 5674 3462 4176 4889 56o2 63i6 7029 7742 8454 90969167 9880 0592 i3o4 2or7 2729 6387 7100 781 3 8526 9238 995 1 ()663 1376 2088 2800 22 ♦o36 0750 i464 2178 2891 36o5 43i8 5o32 5745 6458 7171 7884 8597 93io ♦022 0735 1447 2159 2871 1 448 2167 2885 36o4 4322 5o4i 5759 583 6477 7195 701 3 863o 9348 ♦o65 0783 i5oo 2217 2934 365 1 4368 5o85 58oi 65i8 7234 7950 8666 938a 0098 0814 1529 1 520 2238 2957 3676 4394 5lI2 2245 23 1 6 2960 3075 4390 5io5 6549 7267 7984 8702 9420 01 37 o855 1572 2289 3oo6 3723 444o 5i56 5873 6580 73o5 8022 8738 087310045 1592 23lO 3029 3748 44664538 0169 o885 1601 5f84 5902 6620 7338 8o56 8774 949' 0209 0926 1644 236i 3078 3794 45ii 5228 5q44 6661 7377 8093 663 2382 3ioi 3819 5a56 5074 6692 74 10 8128 8846 9563 0281 0998 1715 2432 3(49 3866 4583 53oo 6016 6732 7449 8i65 88098881 9454 9525 9597 5820 6535 7260 7964 86798750 3o3a 3747 4462 5 1 77 5892 6606 73a I 8o36 9393 0107 0821 1 535 a 249 2963 3676 4390 5io3 58i6 7a42 7955 8668 9381 0093 0806 i5i8 2230 2942 9464 9536 0171 089 1607 2320 2392 3o34 3748 446i 5i74 5888 5529660 I 73i4 8027 8739 9452 01 65 0877 1589 23of 3oi4 0241 0057 1072 2388 3io3 38i8 4533 5248 5963 6678 7393 8107 88a I o3i3 1028 1744 2459 3175 3890 46o5 5320 6o35 1016 1735 3454 3173 3891 4610 5328 6046 6764 748a 8200 8017 9635 o35a 1070 1787 2 5o4 3221 3938 4655 5371 6088 6804 7520 8236 8952 9668 o384 IIOO i8i5 253i 3246 3o6i 4676 5391 6106 67496821 O25o 4 1078 3ro5 3819 4532 5246 7464 8179 8893 9607 o32i io35 1749 2463 3i77 3890 46o4 53i7 5959I6030 6672 7385 8098 88ri 9523 02 36 0948 ifi6i 2373 3o85*3i56 69824 6743 7456 81 8882 9595 o3o7 1019 1732 2444 7536 8250 8964 1107 i8ai 2534 3248 ^5 5388 61 oa 68i5 7528 8953 9666 0378 1091 i8o3 25 1 5 3227 01234 56789 Dim Die Bar. St. Mult. I 72 a i44 3 216 4 288 5 36o 6 432 7 5o4 8 576 9 648 I 71 2 142 3 ai3 4 a84 5 355 6 426 7 497 8 568 9 639 DifT. & Mult Num. 6100 01 02 o3 o4 o5 06 07 08 09 61 10 II 12 i3 i4 i5 16 17 18 19 6t 20 21 22 23 a4 a5 a6 27 28 29 61 3o 3i 32 33 34 35 36 37 38 39 61 4o 4i 42 43 44 45 46 47 48 49 61 5o 5i 52 53 54 55 56 57 58 59 Num. LOGAEITHMS OF NUMBERS. 89 01234 56789 785 3298 4oio 4722 5434 6145 6857 7568 8279 8990 # 9701 7860412 1 1 23 i833 2544 3254 3965 4675 5385 6095 68o5 75i4 8224 8933 # 9643 787 o352 1061 1770 2479 3i88 3896 46o5 53i3 6021 6730 7438 8i46 8854 # 9561 788 0269 0976 1684 2391 3098 38o5 45i2 5219 5926 6632 7339 8045 8751 • 7896163 0869 1575 2281 3986 3692 4397 5l02 3370 3441 4o8i 4i53 4793 4864 55o5 5576 6216 6928 7639 835o 9061 9772 o483 1194 1905 201 5 3325 4o36 4746 5456 6166 6876 7585 8295 9004 6288 6999 7710 8421 Ol32 9843 o554 1265 1976 2686 3396 4107 4817 5527 6237 6946 7656 8366 9075 97149784 0423 0494 Il32 i84i 255o 3258 3967 4676 5384 6092 6800 7509 8216 8924 9632 o34o 1047 1754 2462 3169 3876 4583 5290 5996 6703 740 81K 8822 9457 9528 0234 0940 1645 235i 3o57 3762 4467 5173 I2o3 I9I2 2621 3329 4o38 4746 5455 6i63 6871 7579 8287 8995 9703 o4io 1118 1825 2532 3240 3947 4653 536o 6067 6773 7480 8186 8892 9598 o3o4 lOIO 1716 2422 3i27 3833 4538 5243 35i2 4224 4936 5647 6359 7070 7781 8493 9204 9915 0625 1 336 2o47 2757 3467 4178 4888 5598 63o8 7017 7727 8437 9146 9855 o565 1274 1983 2691 3400 4109 4817 5526 6234 6942 7o5o 8358 9066 9774 o48i 1 189 1896 2603 33io 4017 4724 543 1 6i38 6844 755i 8257 8963 9669 0375 1081 1787 2492 3198 3903 4608 53i4 3583 4295 5007 5718 643o 7i4i 7852 8564 9275 9986 0696 1407 2118 2828 3538 4249 4959 5669 6379 7088 7798 85o8 9217 9926 o635 1 345 2o53 2762 3471 4i8o 4888 5596 63o5 70i3 7721 8429 9137 9844 o552 1259 1967 2674 338i 4088 4795 55o2 6208 6915 7621 8327 9034 9740 o446 ii5i i857 2563 3268 3974 4679 5384 3654 4366 5078 5789 65oi 7212 7924 8635 9346 ♦o57 0767 1478 2189 2899 3609 4320 5o3o 5740 645o 3726 4437 5i49 586i 6572 7283 7995 8706 9417 0128 0839 1 549 2260 2970 368 1 4391 5ioi 58ii 6521 7159 723o 7869 8579 9288 9997 0706 i4i5 2124 2833 3542 42 5o 4959 5667 6376 7084 7792 85oo 9207 991 5 0623 i33o 2o37 2745 3452 4i59 4865 5572 6279 6985 7692 8398 9104 9810 o5i6 1222 1928 2633 3339 4o44 7940 8649 9359 ♦068 0777 i486 3195 2904 36i3 4321 5o3o 5738 6446 7155 7863 8570 9278 9986 0093 i4oi 2108 28x5 3522 4229 4936 5643 635o 7o56 7762 8469 9175 9881 0587 1293 1998 2704 3409 4ii5 47494820 545515525 3797 4509 5220 5932 6643 7355 8066 8777 9488 0199 0910 1020 233 1 3o4i 3752 4462 5172 5882 6592 73oi 8011 8720 9430 oi3i 084 1 557 2266 2975 3684 4392 5roi 5809 65i7 7225 7933 864i 9349 ♦o57 0764 1472 2179 2886 3593 43oo 5oo7 5714 6420 7127 7833 8539 9245 ^; 1 363 2069 2774 3480 4i85 4890 5596 3868 458o 5291 6oo3 6714 7426 8i37 8848 9559 0270 0981 1691 2402 3lI2 3823 4533 5243 5953 6663 7372 8082 8791 9501 0210 0919 1628 2337 3o46 3754 4463 5171 588o 6588 7296 8004 8712 9420 0127 o835 1 542 225o 2957 3664 4371 5078 5784 6491 7197 7904 8610 3939 465 1 5363 6074 6786 7497 8208 8919 9630 o34i io52 1762 2473 3i83 3894 4604 53i4 6024 6734 7443 8i53 8862 9572 0281 0990 T699 2408 3ii7 3825 4534 5242 5951 6659 7367 8075 8783 9490 0198 0906 i6i3 2320 3o27 3734 4441 5i48 5855 656i 7268 7974 8681 9316 9387 ♦022 0728 1434 2139 2845 355o 4256 4961 5666 0093 0799 i5o4 2210 2916 3621 4326 5o32 5737 3 4 5 6 7 8 9 DifT. Difl*. iL Mult. 71 Diff. I 71 3 142 3 2l3 4 284 5 355 6 426 7 497 8 568 9 639 I 2 3 4 5 6 7 8 9 70 i4o aio 280 35o 420 490 56o 63o Diff. Sl Mult. 12 II 4 90 LOGAKITHMS OF NUMBERS. i Nim* 12 3 4 5 6 7 tm 58o7 5»78 5048 6019 6089 6512 6583 721717287 7923 799^ 8026'8697 9331 9401 79000350106 07390810 i444 i^M 3148 2218 2922 3626 433o 5o33 5737 6370 7073 7776 8479 9182 • 9885 791 o587 1290 1992 2695 6440 7143 7846 8549 9252 7358 8o63 8767 9472 0176 0880 1 584 2288 2992 3696 4400 5io3 5807 7917 8620 9323 9393 9463 6906 7608 83o9 9011 9712 3oi7 4617 53i8 6018 6718 74i8 8118 8817 • 9517 7930217 0916 161 5 23i4 3oi4 3712 44^1 5iio 5809 3467 4169 4871 5573 6275 ^7 7678 838o 9081 9782 o483 1 1 84 i885 2586 3286 3967 4687 5388 6088 6788 7488 8188 8887 9587 0287 0986 i685 2384 3o83 3782 4481 5i8o 5879 65o7;6577 72o6'7275 ♦025 0728 143 1 2i33 2835 3537 4240 4942 5643 6345 7047 7748 845o 9i5i 9852 o553 1254 1955 2656 3356 4o57 4757 5458 6i58 6858 7558 8258 8957 9657 o356 io56 1755 2454 3i53 3852 455i 52 5o 5948 6647 7345 67246794 7428;7499 8 1 33 8204 8838|89o8 9542 0247 0951 i655 2359 3o63'3i33 3767I3837 44704541 51745244 5877,5948 658i 665i 7284 7987 8690 0096 0798 i5oi 22o3 2905 7354 8057 8760 0166 0868 i57i 2273 2976 36083678 43io438o 5oi2 5714 64i5 7117 7818 8520 9221 9922 0623 1 334 2025 2726 3427 1126 1825 2524 3223 3922 4621 5320 6018 6717 74i5 5082 5784 6486 7187 7889 8590 9291 9992 4197 4897 5598 6298 6998 7698 8398 9097 9797 0496 1196 1895 2594 3293 3992 4691 5390 6088 6787 7485 6160 6865 7569 8274 8979 o387 1092 1796 25oo 32o4 3907 4611 53i5 6018 6721 7424 8138 883 1 9533 0236 0039 io4i 3344 3o46 3748 445o 5 1 52 5854 6556 7257 7959 8660 9361 ♦o63 0764 1 465 2i65 2866 3567 4267 4967 5668 6368 7068 6230 6935 7640 8344 9049 968397539834 63oi 7005 7710 84i5 9119 o458 1162 1866 2570 3274 3978 4681 5385 6088 6792 7495 8198 890 9604 o3o6 1009 1711 2414 3ii6 38i8 45>o 5222 5924 6626 7327 8029 8730 9432 oi33 0834 i535 2235 2936 3637 o538 1333 1036 3o4o a344 4o48 4752 5455 6159 6863 7565 8268 8971 9674 483 1 5520 6228 6926 7625 34i5 4ii8 4822 5526 6229 6o32 7635 8338 9041 9744 0447 II 5o 1 853 2554 3257 3889 3959 " 4661 5363 6064 6766 7468 8169 8871 9572 0273 0974 1675 2376 3076 3777 4477 5178 5878 6578 7278 7978 8678 9377 0077 0776 4407 5io8 58o8 65o8 7208 i4o6 2io5 3804 35o3 4202 DiflT. DiflT. k. Mult. 3327 4029 473i 5433 6i35 6836 7538 8239 8q4i 9642 o343 8048 8747 9447 0147 0846 i545 2245 2944 3643 4341 12 3 4 5 6 7 8 9 I 71 3 142 3 3l3 4 284 5 355 6 426 7 8 t^ 9 639 70 Diff. I 3 70 i4o 3 3IO 4 280 5 35o 6 420 7 8 Z 9 63o LOGARITHMS OF NUMBERS 91 Diff. Sc Molt. ^^^^ ?^^g i B i ! a^^B Nam. 6320 21 22 23 24 25 36 27 28 29 63 3o 3i 32 33 34 35 36 37 38 39 6240 4i 42 43 44 45 46 47 48 49 62 5o 5i 52 53 54 55 56 57 58 59 6260 61 62 63 64 65 66 67 68 69 62 70 71 72 73 74 75 76 77 78 79 Num. 01234 56789 793 7904 8602 9300 # 9998 7940096 J 394 2091 2789 3486 4i83 4880 5578 6274 6971 7668 8365 9061 ♦ 9757 7950454 ii5o 1 846 2542 3238 3933 4629 7974 8672 9370 ♦068 0766 1 463 a 161 2858 3556 4253 4950 5647 6344 704 r 7738 8434 9f3i 9827 o523 1219 1915 2611 33o7 4oo3 4698 8043 8742 9440 01 38 o835 i533 223l 2928 3626 4323 502O 5717 64r4 7111 7807 85o4 9200 5324 6020 6715 7410 8io5 8800 * 9495 7960190 0884 1579 2273 2967 3662 4356 5o5o 5743 6437 7i3i 7824 85i7 9211 # 9904 797 0597 1290 1983 2675 3368 4o6o 4753 5445 8ii3 8811 9509 0207 0905 i6o3 23(X) 2998 3695 4392 5090 5787 6484 7180 7877 8574 9270 9897 9966 0593 o663 5394 6o8> 678 7480 8175 8870 9564 0259 0954 i648 2343 3o37 3731 4425 5119 58i3 65o6 7200 78c 85^ 9280 9973 0666 1359 1289 1985 2681 3377 4072 4768 5464 6159 6854 7549 8244 8939 9634 0329 I023 I7I8 2412 3io6 38oo 4494 5i88 5882 6576 7269 7963 8656 9349 ♦043 0736 1428 i359 2o55 2751 3446 4f42 4838 8i83 8881 9579 0277 0975 1673 2370 3o68 3765 4462 5i59 5856 6553 7250 7947 8643 9340 ♦o36 0732 1428 2124 2820 35i6 4212 4907 2o52 2I2I 2745 3437 4i3o 4822 55i4 613716207 6829 7521 8213 8905 6899 7590 8282 8974 2814 3507 4199 4891 5584 6276 6968 7660 835i 9043 5533 6228 6924 7619 83i4 9009 97o3 0398 1093 1787 2481 3176 3870 4564 5258 5951 6645 7339 8o32 8725 9419 01 1 2 o8o5 1498 2191 2883 3576 4268 4961 5653 56o3 6298 6993 7688 8383 9078 9773 0468 1 162 i857 255i 3245 3939 4633 5327 6021 6714 7408 8101 8795 9488 0181 0874 1 567 2260 2952 3645 4337 5o3o 5722 6345 7037 7729 8421 9112 64i4 7106 7798 8490 9181 8253 8951 9649 o347 1045 1742 2440 3i37 3835 4532 5229 5926 6623 7320 8016 8323 9021 9719 0417 11x4 1812 25lO 3207 3904 4602 5299 5996 6693 7389 8086 839318462 n I 9160 9 9858 0487 o556 87138782 9409 0100 0802 1498 2194 2890 3586 4281 4977 5672 6367 7063 7758 8453 9148 9842 o537 1232 1926 2620 33i4 4009 47o3 5396 6090 6784 7477 8171 8864 947? 0175 0871 1 567 2263 2959 3655 435 1 5o46 5742 6437 7i32 7827 8522 ii84 1882 2579 3277 3974 4671 5368 6o65 6762 7459 8i56 8852 9549 0245 0941 i637 2333 3029 3725 4420 5ii6 58 1 1 65o6 7202 7897 8592 1254 1952 2649 3347 4o44 474 1 8532 9230 9928 0626 i324 2021 2719 3416 4ii4 4811 5438 55o8 6135I6205 6832J6902 75297598 82258295 8922 8991 96189688 o3i4 lOII 1707 9217 9912 0606 i3oi 1995 3690 3384 4078 4772 5466 6160 6853 7547 8240 8933 9557 9627 025o 0943 i636 2329 3022 3714 4407 5099 5791 6483 7175 9287 9981 0676 1370 2o65 2759 3453 4i47 484i 5535 24o3 3098 3794 44(^ 5i85 588 1 6576 7271 7966 8661 9356 ♦o5i 0745 i44o 2i34 2829 3523 4217 491 1 56o5 62296298 6923 6992 7616 7685 83o9 8379 9003 9072 0320 ioi3 1706 2398 3091 3784 4476 5i68 586o 6553 7245 9696 o389 1082 1775 2468 9765 o458 ii5i 1 844 2537 o384 1080 1776 2472 3i68 3864 4559 5255 5950 6646 7341 8o36 8731 9426 0120 o8i5 1 509 2204 2898 3592 4286 4980 5674 6368 7061 7755 8448 9141 9835 o528 1221 1913 2606 3i6o3229 78677936 85598628 925119320 3853 4545 5237 5930 6622 73i4 8006 3922 46i4 5307 5999 66. 73: 8075 8697I8766 9389'9458 3299 3991 4684 5376 6068 6760 7452 8i44 8836 9527 01234 56789 Diff. Diff. & Mult. I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 Diff. 70 i4o 2TO 280 35o 420 490 56o 63o 69 1 38 207 276 345 4i4 483 552 621 Diff. & Mult. wm LOGARITHMS OF NUMBERS. Mmn. rfiun. 12 3 4 5 6 7 8 9 9666 9735!98o4 9873 8o357|o4a6o4o5o565 io48|iii8 1809 aSoo 3€>53 3i23 65o6 7197 7887 8577 9267 34o5 4oq5 4764 5473 6162 45044573 6645 7335 8025 8715 9336 94o5 0095 0785 1475 2164 2854 3543 4a33 4922 Sou 63oo 1187 1878 a569 3260 3o5i 4643 1356 io4t 2638 3329 4o3o 471 1 5402 60336092 3734 4431 5109 5796 6484 7171 7858 8545 9233 • 9919 801 o6o5 1393 1078 2o65 335i 4o37 4723 5409 6oo5 6781 7466 8i52 8837 • 9522 802 0308 6989 7677 8366 9055 7239 7927 8614 9301 99^7 0674 i36i ao47 2733 3430 4io6 4792 5478 6i63 7535 8330 8906 9591 0276 1119 1808 2495 3i83 3871 4559 5246 5934 6621 73o8 7995 8682 0164 o854 1 544 3233 2923 36i2 43o3 499« 568o 7o58 7746 8435 9133 97439813 043 1 3940 4627 53i5 6003 4009 4696 5384 6071 66906758 4174 4860 5546 6232 68496918 7603 8289 8974 95^ o345 o5oo 1188 1876 3564 3352 0333 0933 ioi3 33o3 3993 368i 4370 5o6o 5749 63696438 7377 8064 8751 9369 9438 ♦o56 0743 1429 2116 2802 3480 4243 S?? 5oi5 63oi 6986 7672 8357 9043 9728 o4i3 7126 7815 85o4 9192 9881 0569 1257 1945 2633 33a I 81 33 8820 9507 0193 0880 1 566 3253 2939 3625 7740 8436 91 1 1 9796 0482 9942 0634 1 325 2016 2707 5471 6i6t 6852 7542 8233 8923 9612 ♦01 i[oo8ooi5o 07o3|0772 i3o4;i463 2o85i2i54 27762846 34673536 4i 58 4237 478048494918 5540 5609 63306299 6021 7611 83oi 9681 3750 4439 5129 58i8 65o6 7195 7884 8573 9361 9949 o638 i326 2014 2702 3390 75 1 4 8aoi 8888 9575 0262 0371 1061 i75i 2440 3i3o 3819 45o8 5197 5886 6575 7264 7953 8641 9330 ♦018 0707 1395 3o83 2771 3458 o44o ii3o 1820 2509 3199 [4642 7583 8270 8957 9644 o33i 1017 1704 3390 3076 7333 8022 8710 83708439 9060 975o 5090578 0775 i463 2l53 2839 3537 7471 8i5o 87^98848 9468 01 56 36943763 438o4449 5o66|5i35 5752 5821 643865o6 71237192 78097878 84948563 03990468 1086 1772 2459 3i45 383 1 4517 4586 9180 9865 o55o 9248 9933 619 7652 833o 9030 97i3 52o3 5889 6575 7361 9317 ♦003 0687 9536 0235 7730 84o8 9004 9781 4353 5o4o 5727 64i5 710a 5272 5958 6643 7339 8oi5 8700 9385 0070 0756 1323 2596 328a 3968 4655 5340 6026 6713 7398 8o83 8769 9454 0139 0824 01234 56789 Difll DiflT. & MuIU 69 DifT. DiC&Hult. LOGARITHMS OF NUMBERS. 93 t ! t 1 1 \ Nuin. 6340 1234 5678 9 Diff. Diff. & Mult. 802o8q3 0961 io3o 1098 1783 1167 1 235; 1 3o4, 1 372 i44i i5o9 I 69 41 1578 1 646 1715 i85i 1920 1988 2o57 2125 2194 2 1 38 i 42 2262 233r 3o84 2468 2536 2605 2673 2742 2810 2879 3 207 1. t 43 2947 3oi6 3i53 3321 3289 3358 3426 3495 13563 4 276 f 44 3632 3700 3769 3837 3906 3974 4042 4iii 41794248 5 345 45 43 r6 4385 4453 4522 4590 4658 4727 4795 4864 4932 6 4i4 483 552 621 I 46 5ooi 5069 5753 5i38 5io6 5274 5343 541 1 5480 5548 5617 7 8 47 5685 5822 5890 5959 6027 6096 6r64 623216301 48 6369 7053 6438 65o6 6574 6643 6711 6780 6848 69166985 76007669 9 J 49 7122 7190 7258 7327 7395 7464 7532 1 63 5o 7737 7806 7874 7942 801 1 8079 8763 8i48 8216 8284 8353 (■ 5i 8421 8490 8558 8626 8695 883 1 8900 8968 9037 1 53 9105 9173 9242 9310 9378 9447 95i5 9583 9652 19720 i 53 * 9789 9857 9925 9994 ♦062 oi3o 0109 0267 o335|o4o4 1 54 8o3 0472 o54o 0009 0677 0745 0814 0882 0951 1019 1087 55 ii56 1224 1292 i36i 1429 1497 1 566 i634 1702 1771 56 1839 1907 2590 1976 2044 2112 2181 2249 23 1 7 2385 2454 57 2522 2659 2727 2795 2864 2932 3ooo 3069 3i37 58 3205 3274 3342 3410 3478 3547 36i5 3683 3752 3820 59 3888 3957 4025 4093 4i6i 423o 4298 4366 4435 45o3 63 60 4571 4639 4708 4776 4844 4913 5595 4981 5o49 5ii7 5i86 61 5254 5322 5391 5459 5527 5664 5732 58oo 5868 63 5937 600 5 6073 6i4i 6210 6278 6346 64 1 4 6483 655i 63 6619 6687 6756 6824 6892 6960 7029 7097 7i65 7233 64 73o2 7370 7438 75o6 7575 7643 771 1 7779 7848 7916 65 7984 8o52 8121 8189 8257 8325 8393 8463 853o 8598 68 1 36 204 66 8666 8735 88o3 8871 8939 9007 9076 9144 9212 9280 I 67 9348 9417 9485 9553 9621 9690 9758 9826 9894 9962 3 3 4 5 68 8o4oo3i 0099 0167 0235 o3o3 0372 o44o o5o8 0576 0644 69 0712 0781 0849 0917 0985 to53 H22 1190 1258 i326 272 340 6370 1394 i463 i53i 1599 1667 1735 i8o3 1872 1940 2008 6 408 71 3076 2144 2212 2281 2349 2417 2485 2553 3621 2690 7 476 72 3758 2826 2894 2962 3o3o 3098 3167 3235 33o3 3371 8 544 73 3439 M 35o7 3575 3644 3712 3780 3848 4529 ^xtt 3984 4o52 4734 9 612 74 4l2I 4189 4257 4325 4393 4461 4598 4606 75 4802 4870 4938 5oo6 5074 5i43 52II 5279 5347 541 5 76 5483 555 1 5619 5687 5756 5824 5892 5960 6028 6096 77 6164 6232 63oo 6368 6437 65o5 6573 664 1 6709 6777 78 6845 6913 6981 7049 7118 7186 7254 7322 7390 7458 1 \ 79 7526 7594 7662 773o 7798 7866 7934 8oo3 8071 8139 63 80 8207 8275 8343 84ii 8479 8547 861 5 8683 8751 8819 ■1 81 8887 8956 9024 9092 9160 9228 9396 9364 9432 9500 82 # 9568 9636 9704 9772 9840 9908 9976 ♦o44 0112 0180 83 8o5 0248 o3i6 o385 0453 o52i 0589 0657 0725 0793 0861 84 0929 0997 io65 ii33 1 201 1269 1 337 i4o5 1473 i54i 85 1609 1677 1745 i8i3 I88I 1949 2017 2o85 2i53 2221 ' 86 2289 3357 24?5 2493 256i 2629 2697 2765 2833 of?' 68 87 2969 3o37 3io5 3173 3241 3309 3377 3445 35i3 358 1 88 3649 3717 3785 3853 3921 3989 4o57 4i25 4193 4261 89 4329 4397 4465 4533 4601 4669 4737 48o5 4873 4941 63 90 5009 5o77 5i45 5212 5280 5348 5416 5484 5552 5620 9» 5688 5756 5824 5892 5960 6028 6096 6164 6232 63oo 67 i34 i 92 6368 6436 65o4 6571 6639 6707 6775 6843 691 1 6979 X 1 93 7047 7ii5 7i83 725i 73ro 7998 7387 7455 7523 7590 7658 3 4 ♦ 94 7726 7794 7862 7930 8066 8i34 8202 8270 8338 268 1 1 ?^ 84o5 8473 854i 8600 9288 8677 8745 88i3 8881 8949 9628 9017 5 335 1 96 9085 9152 9220 9356 9424 9492 9560 9696 6 4o2 1 92 ♦ 9764 983 1 9899 9967 ♦o35 oio3 0171 0239 o3o7 o374 7 469 i 98 8060442 o5io 0578 0646 0714 0782 o85o 0917 1596 0985 io53 8 536 99 Num. 1121 1189 1257 i325 1393 i46o 1 528 1664 1732 9 6o3 1234 567891 Diff. Diff. & Mult. 1 iiii »4 LOGARITHMS OF NUMBERS. fMOO ot o3 o4. o5 06 07 oH 09 11 i3 i4 i5 tl 19 6430 31 93 33 a5 36 37 38 39 64 3o 3i 32 33 34 •3? 38 39 64 4o 4i 42 43 M 45 46 47 48 49 64 5o 5i $3 53 54 56 57 58 59 1 2 S 4 5 6 7 8 9 Difr. 806 18001868 I935|20o3j207i 3478 ' 2 546 2b 1 4 2682 2 75o 3i57 3225 3292 3835 39033971 45i3 5lQI 5i 6547 7225 7903 858o 9258 • 9935 8070612 1290 1967 2644 3320 3997 4674 53 5o 60376094 6703 7379 8o55 8731 • 9407 8080083 0759 1434 3IIO 3785 3460 4i36 48ii 5486 6160 6835 75 10 8184 8850 # 9533 8090207 0881 1 555 8962 • 9635 8ioo3o8 0980 i653 458 1 5259 5q37 i5 7393 7970 8648 9326 ♦oo3 0680 1 357 2o34 2711 3388 4o65 4741 5418 6771 7447 8123 8799 9475 01 5i 0826 l503 2177 2853 35a8 42o3 4878 5553 6328 6903 7377 8a53 8926 9600 0275 102 2297 2970 3644 43i8 4991 5664 6338 7011 7684 8357 9o3o 9702 0375 io48 1720 4649 5327 6oo5 6683 7361 8o38 8716 9393 0071 0748 1425 2102 2779 3456 4t32 4809 5486 6163 6838 75i4 8191 88&7 9542 0218 0894 1569 3345 3930 3595 4371 4946 5630 6295 6970 7645 83i9 0343 1016 1690 2364 3o38 3711 4385 5o58 573a 64o5 7078 775 1 8424 9097 9770 0442 iii5 1787 336o 4o38 4717 5395 6073 6751 7428 8106 8784 9461 01 38 0816 1493 2170 2847 3523 4200 4877 5553 623o 6906 7^82 8258 8q34 10 0286 0961 1637 23l2 2( 3^ 4338 5oi3 5688 6363 7037 7712 8387 9061 9735 1084 1757 243 1 3io5 3779 4452 5126 5799 6472 7146 7819 8491 9164 9837 o5io 1182 i855 3428 4io6 47«4 5463 6i4i 6818 7496 8174 885 1 9520 0206 o883 i56o 2237 2914 3591 4268 4o 4A 5621 6297 6974 7650 8326 900a 9678 o353 1029 1704 338o 3o55 3730 4406 5o8i 5755 643o 7io5 7780 8454 91 a8 9803 04090477 n5i i8a5 3i7J 3846 4520 5193 5866 654o 72i3 7886 8559 9232 9004 o577 1249 192a 2139 2817 3496 4174 4853 553o 5598 6208 220712275 2885 3564 4a42 4920 6886 7564 8a43 ^ 0274 0951 1628 23o5 2982 3659 4335 5oi2 5689 6365 7o4i 7717 8393 0431 1096 1773 3447 3i23 3798 4473 5i48 5823 6498 7172 7847 8521 o343 1019 1696 2373 3o5o 3726 44o3 5o8o 5756 643a 7109 7785 846i 9137 9813 o488 1164 i84o 25i5 2953 3632 43io 4988 5666 5734 637663446412 6954 703a 7089 7633 7699 7767 830983778445 454i 53i6 5890 6565 7240 7914 8589 96 9263 9870 o544 1218 1892 2566 3240 3914 4587 5260 M 57 7280 7953 8626 9299 9972 0644 07 1 1 1 384 2o56 9o38 0612 1286 i960 2634 33o7 3981 4654 5328 6001 6674 7347 8020 8693 ♦039 i3i7 1989 9055 9733 0/ 1086 1764 2440 3ii7 3794 447 5i47 5824 65oo 7176 7853 8529 9204 9122 9800 4o9|o477 '" ii54 i83i 25o8 3i85 3862 4538 52i5 5891 6568 7244 98809948 o556 1232 1907 2582 3258 3933 4608 5a83 5958 6633 7307 7982 8656 9331 ♦oo5 0679 1 353 3037 2701 3375 4o48 4722 5395 6068 6742 74i5 8088 8761 9366 9433 9501 0106 0779 i45i 2123 2343 3o3i 5o56 927a o6a4 1399 1975 265o 3325 4000 4676 535 1 6035 6700 7375 8049 8724 9398 0072 0747 i4ai 2094 2768 3442 4ii6 4789 5462 6i36 2410 3089 3767 444^ 5i34 58o3 6479 7157 7835 85i3 9867 o545 1322 1899 2576 3253 4600 5283 5959 6635 73ia 7988 8664 9340 ♦01 5 0691 i367 ao43 3718 3393 4068 4743 5418 6093 6768 7442 8117 8791 9466 0140 0814 i488 ai6a 2836 3509 '4i83 4856 553o 6203 7482 81 55 8838 0173 0846 i5i8 3191 68096876 7549 8333 8895 9568 0241 0913 1 586 2258 ai234 56789 Uiir. iL Mult. Dur. I a 3 4 5 6 7 8 9 I 68 a i36 3 3o4 4 37a 5 340 6 408 7 476 8 544 9 61 a 67 i34 301 368 335 4o3 6o3 Diff. it Mvh. LOGARITHMS OF NUMBERS. 95 Num. 6460 61 62 63 64 65 66 67 68 69 6470 71 73 73 74 75 76 77 78 79 64 80 81 82 83 84 85 86 87 68 89 6490 9' 9? ^] 94 96 9Z 98 99 65 00 01 02 o3 o4 o5 06 07 08 09 65 10 II 13 i3 i4 i5 16 17 18 19 Nam. 01234 56789 810 2325 2997 3670 4342 5oi3 5685 6357 7029 7700 8372 9043 • 9714 81 1 o385 io56 1727 23 2392 3o65 3737 4409 4476 5o8i 5i48 3 3739 4409 5o8o 5750 6420 7090 7700 843o 2460 3i32 38o4 5752 6424 7096 7767 8439 9110 9781 0452 1 1 23 1794 2465 3i35 38o6 4476 5i47 58i7 6487 7157 7827 8497 5820 6491 7163 7834 85o6 9177 9848 o5i9 1190 1861 2532 32o3 3873 4544 5214 5884 6554 7224 7894 9100 • 9769 8i3o43q 1108 1778 2447 3ii6 3785 4454 5i23 5792 646o 7129 7797 8465 9134 • 9802 81 3 0470 ii38 i8o5 2473 3i4i 38o8 4475 5i43 58io 6477 7144 781 1 8478 9144 • 9811 8i4 0477 1144 2527 3199 3871 4543 52i5 5887 6558 7230 7902 8573 9244 9915 o586 1257 1928 2599 3270 3940 461 T 5281 5951 6621 7291 2594 3266 3038 4610 5282 5o54 6626 7297 8640 93ii 9982 o653 1 324 1995 2666 3337 4007 4678 5348 6018 6688 7358 7961 8028 8564 863 1 8698 9167 9836 o5o6 1175 1845 25i4 3i83 3852 4521 5190 5858 6527 7196 7864 8532 9200 9868 o536 I2o4 1872 2540 3207 3875 4542 5ao9 5877 6544 7211 7877 8544 921 1 9877 o544 1210 1810I1876 9234 ^3 1242 1912 258i 325o 3 5257 5925 6594 7262 7931 8599 9267 9935 o6o3 1 271 1939 2607 3274 3942 4609 5276 5943 6610 7377 7944 861 1 9278 9944 0610 1277 1943 93oi 9970 0640 1 309 1979 2648 33i7 3986 4655 5323 5992 6661 7320 7998 8666 9334 ♦002 0670 1 338 2006 2673 3341 4008 4676 5343,5410 60106077 6677 6744 7344 8011 9368 ♦o37 0707 1376 2045 2715 3384 4o53 4722 5390 6059 6728 7396 8064 8733 9401 0069 0737 i4o5 2072 2740 3408 4075 4742 74ii 8077 8678 8744 9344 ♦on 0677 1 343 2010 9411 0077 0744 i4io 2076 2661 3333 4006 4678 5349 6021 6693 7364 8o36 8707 9378 ♦o5o 0721 1392 2062 2733 34o4 4074 4745 54i5 6o85 6755 7425 8095 8765 9435 oio4 0774 1443 2112 3782 345 1 4l20 4788 5457 6126 6794 7463 8i3i 8799 9468 01 36 0804 1471 2139 2807 3474 4142 4809 5476 6x43 6810 7477 8144 8811 9477 0144 0810 1477 2143 2729 3401 4073 4745 5417 6088 6760 7432 8io3 8774 9446 0117 0788 1459 2129 2800 3471 4i4i 4812 5482 2796 3468 4i4o 4812 5484 6)56 6827 7499 8170 884i 951 3 0184 o855 1526 2197 2867 3538 4208 4879 5549 6i52 6822 7492 8162 8832 2863 3535 4207 4879 555i 6223 6894 7566 8237 8909 9580 025 1 0922 1593 2264 2934 36o5 4275 4946, 56i6 2930 36o2 4274 4946 56i8 6290 6961 7633 83o4 8976 9647 o3i8 0989 1660 233i 3ooi 3672 4342 ,5oi3 5683 Diff. 62196286 9502 0171 o84i i5io 2179 2848 35i8 4186 4855 5524 6193 6861 753o 8198 8866 9534 0202 0870 i538 2206 2874 3541 4209 4876 5543 6210 6877 7544 8211 8878 9544 0211 0877 1 543 2210 6889 7559 8229 8899 9569 0238 0908 1377 2246 2915 3584 4253 4922 5591 6260 6928 7597 8265 8933 9601 0269 0937 i6o5 2273 2940 36o8 4275 4943 56io 6277 6944 761 1 8278 8944 9611 0277 0944 lOIO 6956 7626 8296 8966 9636 o3o5 0975 1644 23x3 2982 365 1 4320 4989 5658 6326 6995 7663 8332 9000 9668 o336 ioo4 1672 2339 3oo7 3675 4342 5009 5676 6344 7011 7677 8344 901X 9677 o344 lOXO 1677 2276I2343 6353 7023 7693 8363 9033 9703 0372 io4i X7XI 238o 3o49 3718 4387 5o56 5725 6393 7062 773o 8399 9067 9735 o4o3 1071 1739 2406 3o74 3741 4409 5070 5743 64xo 7077 7744 84xx 9078 9744 o4ii X077 1743 2409 01234 56789 Diff. Sc Mult. 67 I 67 2 i34 3 201 4 268 5 335 6 4o3 7 469 8 536 9 6o3 Diff. I 66 3 l33 3 198 4 264 5 33o 6 396 7 463 8 528 9 5^ Diff. &. Mult. Ww LOGARITHMS OF NUMBERS. Num. at 39 a3 M a5 a6 a7 65 3o 3a 33 yliCI 36^ 3*7 38 39 65 4o 4 1 49 45 46 47 48 49 65 5o 5i 53 54 55 56 57 58 59 65 60 61 6a 63 64 65 66 67 68 69 6670 71 7a 73 74 75 76 77 78 79 12 3 4 5 6 7 8 9 814 3476 3i42 38o8 4474 5i4o 58o5 6471 7i36 7801 8467 2543,26002676 3209'3275 334a 3875 3941 4oo8 4540 4607 4674 5ao6 587a 6537 72o3 7«68 8533 3743 3408 4074 4740 5406 6071 91 3a 91989265 9331 980399309996 • 9707 8i5o46a 1137 1791 a456 3l20 3785 4449 5ii3 oSaSoSoSoodi 1260I1326 1934 1 991 1193 1 858 2522 3187 385 1 45 16 5i8o 5777 6441 7fo5 7769 8433 ♦ 9760 8i6o4a3 1087 1750 a4i3 3076 3739 4402 5o64 5727 9163 9826 0490 ii53 1816 a479 3i4a 38o5 4468 5i3i 5793 63896456 7o5a 7714 8376 9o38 • 9700 817 o36? 1034 1686 a347 3009 3670 433 1 4993 5654 63i5 ?76 5a73 5339 5038 6oo5 6604 6670 6737 7269 7336 7402 7935 8001 8068 8600,86668733 2^ 0728 (302 2o57 3733 3386 4o5i 471 5 5379 6043 6707 7371 8o35 8698 936a ♦025 0689 1 352 aoi5 3678 3341 4oo4 4667 5339 2589 2655 3251 3320 3918 3q84 4582 4648 5a46 53i3 5910 6574 7238 7118 7780 8443 241 3 3075 3736 43o8 5o59 5720 638 1 7042 9171 9833 0495 iid6 1818 2809 2876; 2942i3o44 9695 o347 0998 5407 6061 6714 7367 8021 8674 9327 9979 o632 1285 1937 259V) 3242 3894 4547 5io9 585 1 6.5t>3 7i54 7806 8458 9109 9761 o4i2 io63 5473 6126 6770 7433 8086 87398804 9392 ♦045 0697 i35o 2oo3 2655 33o7 3o6o 4012 1649 23oo KXJa 7220 7871 5538 6191 6845 7498 8i5i 9457 Olio 0763 i4i5 2068 2720 3373 4o25 4677 5364 5329 5916 5981 6568 6633 8523 9174 9826 0477 1 1 28 4838 5489 6139 6789 7440 8090 8740 9390 *o4o 0689 4903 5554 6204 6854 75o5 8i55 88o5 9455 oio5 0754 1714 1779 2365 243o 3oi6 3o8i 36673732 43 1 8 4383 783o 7895 84798544 9127 9776 4968 5619 6269 6919 7570 82 30 8870 9520 0169 0819 5684 6334 6984 7635 8385 8935 9585 0234 0884 13391404 1469 i534 2183 2833 3482 4i3i 4716 5365 9192 9840 0424I048 6014 6662 73ii 7960 8608 9257 8025 8673 9322 7285 7936 8588 9891 o542 1 193 1844 2495 3i46 3797 4448 5098 5749 6399 7049 7700 835o 9000 9650 0299 0949 1590 2248 2898 3547 4196 8090 8738 9387 99059970U035 o554lo6i8io683 iVi]in« 1 3 4 8 65 DiflT. I 65 2 i3o 3 4 200 5 325 6 7 390 455 8 520 9 585 DiflT. a. Mult. LOGARITHMS OF NUMBERS. 99 Num. 6700 01 02 o3 04 o5 06 07 08 09 67 10 II 12 i3 i4 i5 16 17 18 19 67 20 21 22 23 24 25 36 27 28 29 6730 3i 32 33 34 35 36 37 38 39 6740 4i 42 43 45 46 47 48 49 67 5o 5i 52 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7 8 9 826 074808 1 3 1396 i46i 2044 2109 2692 2757 3340 34o5 3988 4635 5283 5931 6378 7225 7872 85x9 9166 # 9813 827 0460 1 1 07 1753 2400 3o46 36o3 43j9 4985 563 1 6277 6923 7569 8214 8860 # 95o5 828 01 5 1 0796 i44i 2086 2731 3376 4o2i 4665 53io 5955 659 724 7887 8532 9176 # 9820 829 o463 1 107 1751 2394 3o38 368 1 4324 4967 56ii 6254 6896 7539 8182 8824 4o53 4700 5348 5995 6643 7290 7937 8584 9331 9878 o525 1172 i8i8 2465 3ui 3757 44o4 5o5o 5696 6342 6987 7633 8279 8924 9570 02l5 0860 i5o6 2l5l 2796 3440 4o85 473o 5375 6019 6663 7308 7952 8596 9240 9884 0528 1171 i8i5 2459 3l02 3745 4389 5o32 5675 63 18 6961 7603 8246 8889 0878 1526 2174 2822 3470 4117 4765 54i3 6060 6707 7355 8002 8649 9296 9943 0590 1236 1 883 2529 3176 3822 4468 5ir4 5760 64o6 7052 7698 8343 8989 9634 0280 0925 1370 22l5 2860 35o5 4i5o 4794 5439 6o83 6728 7372 8016 8660 9304 9?48 0592 1236 1879 2523 3i66 38x0 4453 5096 5739 6382 7025 7668 83xo 8953 0942 1 591 22J9 2887 3534 4182 483o 5477 6125 6773 7419 8067 8714 9361 ♦007 o654 i3oi 1947 2594 3240 3887 4533 582:) 6471 7II7 7762 8408 9053 9699 o344 0989 1 635 2280 2925 3569 4214 4859 55o3 61 48 6792 7437 8081 8725 9369 ♦01 3 o656 i3oo 1944 2587 323i 3874 45x7 5i6o 58o3 6446 7089 7732 8375 9017 1007 i655 23o3 3951 3599 4247 4895 5542 6190 6837 7484 8i3i 8778 9425 0072 0719 1 366 30I2 2659 33o5 3951 4597 5244 5889 6535 7181 7827 8473 9118 9763 0409 xo54 1699 2344 2989 3634 4279 4923 5568 6212 6857 75oi 8145 8789 9433 0077 0721 i365 2008 2652 3395 3938 4582 5225 5868 65ii 7i54 7796 8439 9081 1072 1720 2368 3oi6 3664 43 1 2 4376 4959 5o24 ii37 X785 2433 3o8i 3729 56<^7 6254 6902 7549 8196 8843 9490 oi37 0784 i43o 2077 2723 3370 4oi6 4662 53o8 5954 6600 7246 7891 8537 9x83 9828 0473 1119 1764 2409 3o54 3698 4343 4988 5632 6277 6921 7565 8210 8854 949« oi4i 0785 1429 2073 2716 3359 4oo3 4646 5289 5932 6575 7218 7861 85o3 9146 5672 63x9 6966 7614 8261 8908 9555 0201 o848 1495 2l4l 2788 3434 4o8o 4727 5373 6019 6665 73 10 7956 8602 9247 9893 o538 1x83 X828 2473 3ii8 3763 4408 5o52 5697 634 X 6986 7630 8274 8918 9362 0206 o85o 1493 2137 2780 3424 4067 4710 5353 5996 6639 7382 7925 8567 9210 1202 i85o 2498 3x46 3794 4441 5089 5736 6384 7o3i 7678 8325 8972 9619 0266 00x3 1 560 2206 2852 3499 4i45 4791 5437 6o83 6729 7375 8021 8666 93x2 9957 0602 1248 X893 2538 3i83 3827 4472 51x7 5761 64o6 7o5o 7694 8338 8982 9626 0270 0914 1 558 220X 2845 3488 4i3x 4775 5418 6061 6704 7346 7989 8632 9274 126711331 i5 1979 2563 3210 3858 45o6 5i54 58oi 6448 7096 7743 83oo 9037 9684 o33i 0978 1624 227r 3917 3563 42x0 4856 55o2 6i48 6794 7439 8o85 873x 9376 ♦022 0667 I3X2 1957 2602 3247 3892 4537 5i8i 5826 6470 7114 7759 84o3 9047 9691 o335 0978 1622 2266 2909 3552 4196 4839 5482 6125 6768 74ix 8o53 8606 2627 3275 3923 4571 52x8 5866 65x3 7160 7808 8455 9x02 9749 0395 X042 1689 3335 2982 3628 4274 4920 5367 6212 6858 75o4 8i5o 8795 9441 0086 0731 1 377 2022 2667 33x2 3956 4601 5246 5890 6535 7179 7833 8467 9111 9755 0399 X043 x686 233o 2973 3617 4260 4903 5546 6189 6832 7475 81 18 8760 Difi: Difr. &. Mult. 933819403 2 3 4 5 6 7 8 9 I 65 2 i3o 3 195 4 260 5 325 6 3oo 7 455 8 520 9 585 I 2 3 4 5 6 7 8 9 64 128 256 320 384 448 5l2 576 DiflT. DiflT. A; Mult. B ii"'i>"'"|'"'":^ilrt|!lpipj!B"f I 100 Num. mm 6i 62 63 64 65 66 6: 07 68 % 6770 71 72 73 74 75 76 77 78 79 6780 8t 82 83 84 85 86 87 88 89 6790 9< 92 93 94 95 96 97 98 99 6800 01 03 o3 o5 06 07 08 09 68 10 II i3 14 1 5 16 17 18 19 Nam. LOGARITHMS OF NUMBERS 2 3 5 6 7 8 9 • 9467 83O0IO9 0752 i3q4 2o36 2678 y|i''iJ M%J 396a 46o4 5245 5887 6528 7169 781 8452 n3 4 83,1 0375 1016 i656 2297 2937 3578' 4318 4858 54q9 01 39 6775 74i8 8o5« 8608 9337 • 9977 832 0616 1255 i8q5 25j4 3173 38 1 2 445o 5089 5728 6366 70o5 7643 8281 ^9^9 # 9558 833 0105 o833 1471 2109 2746 3384 4021 4659 5296 5933 6570 7207 9531 0174 0816 i458 2100 2742 3384 4026 4668 5309 5951 6592 7234 7875 85i6 9157 9798 0439 lobo 1720 236i 3ooi 3642 4282 4922 »563 6203 6842 7482 8122 9595 0238 0880 l522 2164 2806 3448 4090 47-32 5373 601 5 6656 7298 7939 858o 8644 9221 9285 9862 9926 o5o3pD67 9660 o3o2 0944 1 587 2229 2871 35i2 4i54 4796 54J8 6079 6721 7362 88 1447 2086 2725 3364 4oo3 4642 5281 5919 6558 7196 7835 8473 91 1 1 9749 o387 I035 1662 23oo 2938 3575 4212 485o 5487 6124 6761 7398 9724 o366 1009 i65i 2293 2935 3 m D77 4218 4860 55o2 6143 6785 7426 8067 8708 9349 9990 o63i 1272 1913 2553 3194 3834 4474 5ii4 5755 6395 7034 7674 83 1 4 8q54 9393 0233 0872 i5ii 2i5o 2789 3428 4067 4706 5345 5983 6622 7260 7898 8537 9175 9813 o45i 1088 1726 2364 3ooi 3630 4276 4913 555i 6188 6825 7462 9788 043 1 1073 1715 2357 ao99 364) 4283 4924 5566 6207 6849 69 7490 " ^ 8i3i 8772 94i3 ♦o54 0695 1 336 1977 2617 3258 38 4538 5178 5819 6459 7098 77^8 8378 9018 9657 02< 0036 1575 33l4 2853 3492 4i3i 4770 54o8 6047 6686 7324 7962 8600 9233 9877 o5i4 Il52 1790 2428 3o65 3703 4340 4977 56i4 6>5i 6888 7525 9852 o4q5 11 J7 •779 2421 3o63 3705 4347 4988 563o 6272 i3 7554 8195 8837 9478 0119 0759 i4oo 204 1 2681 3322 3962 4602 5242 5883 6523 7162 7802 8442 9081 9721 1000 1639 2278 2917 3556 4'95 4834 5472 61 1 1 6749 388 8026 8664 9302 9940 0578 1216 1 854 2491 3129 3766 44o4 5o4i 5678 63i5 6952 7589 9017 0559 1 201 1843 2485 3i27 3769 44n 5o53 5694 6336 6977 7618 8260 8901 9542 oi83 0823 1 464 2io5 2745 3386 4026 4fy66 53o6 5o47 6587 7226 7866 85o6 9145 9785 0424 fo64 1703 2342 2981 3620 4259 4898 5536 6175 68i3 7452 8090 8728 9366 ♦oo4 0642 1280 1918 2555 3193 383o 4467 5io5 5742 6379 7016 7653 0023 1265 19 255o 3192 3833 4475 5il7 5758 6400 7041 7683 8324 8965 9606 0247 0887 1528 2169 2809 345o 4090 47JO 5371 601 1 665 1 7290 7930 8570 9209 9849 o48« 1 1 28 1767 2406 3o45 3684 4323 4961 56oo 6239 6877 75i5 81 54 8792 9430 0068 0706 1 344 1981 2619 3256 3894 453 1 5 168 58o6 6443 7080 771 ♦o45 0687 i33o 1972 2Dl4 3898 4539 5t8i 5823 6464 7io5 7747 8388 9029 9670 o3ii 0952 '% 2233 2873 35i4 4 1 54 4794 5435 6075 671 5 7354 7004 8634 9273 9913 o552 II 18: r92 J3i 2470 3109 374S 4387 5o25 5664 63o2 6941 7579 8317 8856 9494 Ol32 0770 1 407 2045 2683 3320 3958 4595 5232 5869 65o6 7143 61 7780 01234 567 8~T Diff. 64 Diff. DiiH & Mult. I 65 3 i3o 3 195 4 260 5 325 6 7 4?? 8 520 9 585 I 2 3 4 5 6 7 8 64 128 192 256 320 384 448 5i2 576 Diff. Sl MuIu LOGARITHMS OF NUMBERS. 101 Num. 6820 21 33 23 34 35 36 37 28 29 68 3o 3i 32 33 34 35 36 37 38 39 68 40 4i 42 43 44 45 46 47 48 49 68 5o 5i 52 53 54 55 56 57 58 59 6860 61 62 63 64 65 66 67 68 69 6870 71 73 73 74 75 76 77 78 79 Nam. 01234 '5 6789 833 7844 848o 9117 * 9754 834 0390 1027 i663 2299 3?7, 4207 4843 5479 61 14 6750 7385 8021 8656 9291 * 9926 835 o56i 1196 i83i 2465 3ioo 3735 4369 5oo3 5638 6272 6906 7540 8174 8807 * 9441 836 0075 0708 i34i 1975 2608 3241 3874 45o7 5i4o 5773 64o5 7o38 7670 83o3 8935 * 9567 8370199 o832 1 463 2095 2727 3359 3990 4622 5253 7907 8544 9181 9817 0454 1090 1726 2363 3§I 4271 4906 5542 6178 68r3 7449 8084 8719 9354 9990 0625 1259 1894 252 3 16 3798 4432 5067 5701 6335 6969 7603 8237 8871 95o4 oi38 0771 i4o5 2o38 2671 33o4 3937 4570 52o3 5836 6469 7101 7734 8366 8998 963 1 0263 0895 1 527 2i58 2790 3422 4o53 4685 53i6 7971 8608 9244 9881 o5i7 ii54 1790 2426 3062 3698 4334 4970 56o6 6241 6877 75l2 8148 8783 9418 ♦o53 0688 i323 1058 2592 3227 386 1 4496 5i3o 5764 6398 7033 7666 83oo 8934 9568 0201 o835 1 468 2101 2735 3368 4001 4634 5267 5899 6532 7164 7797 8429 9062 9694 o326 0058 1590 2223 2853 3485 4117 4748 5379 8o35 8672 9308 9945 o58i 1217 1 854 2490 3126 3762 4398 5o34 5669 63o5 6940 7576 821 1 8846 9481 0117 0751 1 386 2021 2656 3290 3925 4559 5194 5828 6462 7096 7730 8364 8997 9631 0265 0898 i53i 2 1 65 2798 343 1 4o64 4697 533o 5963 6595 7228 7860 8493 9125 9757 0389 1021 i653 2385 2917 3548 4i8o 48ii 5442 8098 8735 9372 ♦008 0645 1281 1917 2553 3190 3826 446t 5097 5733 6368 7004 7639 8275 8910 9545 0180 081 5 i45o 2o85 2719 3354 3988 4623 5257 5891 6525 7159 7793 8427 9061 9694 o328 0961 1595 2228 2861 3494 4127 4760 5393 6026 6658 7291 7923 8556 9188 9820 o452 1084 1716 2348 2980 36ii 4243 4874 55o6 8162 ^79? 943! 0072 0708 1 345 1981 2617 3253 3889 4525 5i6i 57q6 64^2 7067 77o3 8338 8973 9609 0244 0878 i5i3 2i48 2783 3417 4o52 4686 5320 5955 6689 7223 7857 8490 9124 9758 0391 1025 i658 2291 2925 3558 4191 4824 5456 6089 6722 7354 7987 8619 9251 9883 o5i6 ii47 1779 a4ii 3o43 3674 43o6 4937 5569 8226 8862 9499 01 36 0772 1 408 2045 2681 33i7 3953 4589 5224 586o 64q6 7i3i 7766 8402 9037 9672 o3o7 0943 1577 2212 2846 3481 4ii5 475o 5384 6018 6652 7286 7920 8554 9188 9821 0455 1(588 1721 2355 2988 3621 4254 4887 5520 6i52 6785 7417 8o5o 8682 9314 9?47 0579 1211 1843 2474 3io6 3738 4369 5ooi 5632 82898353 8926 9563 0199 o836 1472 2108 2744 338o 4oi6 4652 5288 5924 655 719 783o 8465 9100 9736 0371 ioo5 1640 2275 2910 3544 4179 48i3 5447 6081 6716 7349 7983 8617 9251 9885 o5i8 ii5i 1785 2418 3o5i 3684 4317 4950 5583 6216 6848 7481 8ii3 8745 9378 ♦010 0642 1274 19 2538 3169 38oi 4432 5o64 5695 8990 9626 0263 0899 1 536 2172 2808 3444 4080 4716 535 1 5987 6623 7258 7893 8529 9164 9799 04U 1069 1704 2338 2973 36o8 4242 4876 55ii 6145 6779 74i3 8047 8681 9314 9948 o58i I2l5 1 848 2481 3ii5 3748 438 1 5oi3 5646 6279 6911 7544 8176 8809 9441 0073 0705 1 337 1969 2601 3232 3864 4495 5i27 5758 8417 9053 9690 o327 0963 1599 3235 2872 35o8 4i43 SII 6o5i 6686 7322 7957 8592 9227 9863 0498 ll32 1767 2402 3o37 3671 43o6 4940 5574 6208 6842 7476 8110 8744 9378 ♦Of I 0645 1278 .1911 2545 3178 38ii 4444 5077 5709 6342 6975 7607 8240 8872 95o4 01 36 0768 i4oo 2033 3664 3296 3927 4559 5190 5821 1 2 3 4 5 6 7 8 9 Ditr. Diff. &. Mult. Diff. I 64 3 128 3 193 256 4 5 320 6 384 7 448 8 5l2 9 576 I 63 2 126 3 189 4 252 5 3i5 6 378 7 44i 8 5o4 9 567 Diff. dL Molt. 102 LOGARITHMS OF NUMBERS. Num. 82 83 84 85 86 87 88 89 6890 91 92 93 94 96 97 98 99 69 00 01 02 o3 04 o5 06 07 08 09 6910 II 13 i3 i5 16 17 18 19 6930 31 a3 M aS 36 27 aS 6930 3i 33 33 34 35 36 37 36 39 12 3 4 5. 6 7 8 9 I Diir. 837 5884 65 16 7147 7778 8409 5o48 6579 7210 7841 8473 • 9670 838 o3oi oo3i 1TO2 9039 9103 3193 3833 3453 4o83 4713 5343 5073 6002 7332 7861 8491 9120 • 975o 839 0379 9733 (>364 0994 1635 6011 6643 7373 7904 8535 9166 97969859 3355 2886 35 16 4i46 4776 5406 6o36 6665 7395 7924 8554 9183 9812 0443 0437 1057 1688 23i8 2949 3579 6074 6705 7336 7967 8598 9339 0490 1 131 I75I 338i 3oi3 3643 43094272 4839 4902 5469 6098 6728 7358 7987 8617 3533 4i52 4780 5409 6037 6666 7294 7022 855o 9178 • 9806 840 0433 1061 1688 23i6 3043 3571 1008 1 071 1637 1700, 3266I2329 3895 2957 5532 6161 6791 7421 8o5o 6 1 37 6768 «^?? 8o3o 8661 9393 oa53 1184 1814 2444 3075 3705 4335 4965 5595 6324 6854 7484 81 13 8743 6aoof6263 683i 7463 8093 8734 9355 0616 1247 1877 2507 3i38 3768 4398 5o28 3586 42 1 5 4843 5472 6100 8680 9246 9309 9372 9875 9938 ♦001 o5o5 0567 o63o 1 1 34 1197 1259 1763 1826 1888 2392 2454 ^517 3o2o3o83 3i46 3649 ^7* 2 3775 427843414403 5658 6287 6917 7547 8176 8806 9435 6894 7525 8i56 8787 9418 ♦049 0679 i3io 1940 2570 320I 383 1 4461 5091 5721 635o 6980 7610 8239 8860 9498 6326 6957 7588 8219 885o 9481 0112 0742 1 373 3003 6389 3633 3264 3894 4524 5i54 7020 7653 8283 8913 9544 0175 o8o5 i436 2066 00640137 0693I0756 5784 64i3 7043 7673 83o2 8365 2696 3327 3o57 4587 5217 5847 6476 7106 7736 6336 35 6i63 67286791 6854 735774197483 7985 86i3 9341 9868 0496 1 1 24 1751 2379 3ooo 3633 8047 86758738 93o3 0559 1186 1814 2441 81 10 9366 9994 0633 5o32 566o 6389 6917 7545 8173 8801 9439 ♦057 0684 l333 I95I 3580 3309 3838 4466 5095 5723 635i 6980 7608 8336 8864 9493 0119 0747 1375 3003 363o 3357 3884 1 385 20l4 2643 3273 3900 4539 8931 9561 0190 0819 1448 2077 2706|27< 8094 9624 02 53 0882 i5ii 2i4o 5»58 5786 64i4 7043 7671 ?=»99 8937 9554 0183 3335 3963 4593 5220 5849 6477 7io5 7733 836i 9617 0245 0810108730935 33 4026 4655 5283 5912 654o 7168 7796 8434 9o53 9680 o3o8 6453 7084 77i5 8346 8976 9607 0338 0868 1499 3139 2759 3390 4020 465o 5380 5910 6^39 7169 7790 8428 9057 9687 o3i6 0945 1574 22o3 2832 3460 4089 4718 5346 5974 66o3 723i 7859 8487 9115 9743 0371 0998 1626 2253 2881 35o8 4i35 4198 4360 4825 4888 5453 55 1 5 60796141 67066768 7333 8 9312 • 9838 84io465 1091 7395 8033 8648 9375 9901 fi53 6204 6367 7458 8084 8711 9337 99^ 1717I1780 a343i34o6 2969' 3o3i 0537 0590 I3l6 1843 3468 3o94i 68946956 7530 8147 8773 «oa6 1379 1905 353 1 3i57 7583 83IO 8836 94009463 0089 0715 i34i 1967 3593 3319 7646 8373 8890 9535 01 5a 0778 i4o4 3o3o 3656 3289 7708 7771 8335 8398 8961 9024 95889650 oa 1 4 0377 08400903 1467 1529 30933155 371912781 33441 3407 7834 8460 9087 9713 0339 0066 092 3318 3844 3470 7896 8533 9149 9776 0403 1038 i654 3380 3906 3532 If MB. 1 234 56789 Diff. & Mult. 63 I 64 2 138 3 4 192 256 5 3 20 6 384 7 448 8 5l3 9 576 Dim I a 3 4 5 6 7 8 9 63 136 189 353 3i5 378 44i 5o4 567 Diff. It Mah. LOGARI.THMS OF NUMBERS. 103 Num. 6940 4i 43 43 44 45 46 47 48 49 69 5o 5i 53 53 54 55 56 57 58 59 6960 61 6a 63 64 65 66 67 68 69 6970 71 73 73 74 75 76 77 78 79 6980 81 83 83 84 85 86 87 88 89 6990 91 92 93 94 96 98 99 Nttm. 12 3 4 5 6 7 8 9 1 Diff. 841 3595 43 30 4846 5472 6097 6723 7348 7973 8598 9223 ♦ 9848 843 0473 1098 1722 3347 3971 3596 4320 4844 5468 6092 6716 7340 7964 8588 921 1 * 9835 843 o458 io8i 1705 2338 3951 3574 4197 4819 5442 6o65 6687 73io 7932 8554 9176 • 9798 844 0420 1042 1664 2386 3539 4i5o 4772 5393 6oi4 6635 7356 7877 8498 9119 * 9739 845o36o 3657 4283 4909 5534 6160 6785 7410 8o36 8661 9286 ^35 1 160 1785 2409 3o34 3658 4282 4907 553i 61 55 6779 74o3 8026 865o 9274 9897 o52o II44 1767 2390 3oi3 3636 4259 4882 55o4 6127 6749 7372 7994 86t6 9239 986 r o483 iio4 1726 2348 2970 3591 42i3 4834 5455 6076 6697 73i8 7939 856o 9181 9801 0422 3720 4346 4971 5597 6222 6848 7473 8098 8723 9348 0598 1223 i847 2472 3096 3721 4345 4969 5593 6217 6841 7465 8089 8712 9336 59 o583 1 206 1829 2452 3075 3698 4321 4944 5567 6189 6812 7434 8o56 8679 9301 9953 o545 1167 1788 2410 3o32 3653 4275 4896 55i7 61 38 6759 738o 8001 8622 9243 9863 3782 4408 5o34 5659 6285 6910 7535 8161 8786 9411 ♦o36 0660 1285 1910 2534 3i59 3783 4407 5o3i 5656 6280 6904 75?7 8i5 8775 9398 ♦022 0645 1268 1892 35i5 3i38 3761 4383 5oo6 5629 625i 6874 7496 8119 8741 9363 9985 0607 1239 i85i 2472 3094 3715 4337 4958 5579 6201 6823 7443 3845 4471 5096 5722 6347 6973 7598 8223 8848 9473 009Q 0723 1 348 1972 2597 3221 3845 4470 5094 5718 6342 6966 7590 82i3 8837 9461 0084 0707 i33i 1954 3577 3200 3833 4446 5069 5691 63 14 6936 7559 8181 88o3 9435 ♦047 0669 1 291 1913 2534 3i56 3778 4399 5o2o 5642 6363 6884 75o5 3i 4533 5 1 59 5784 64io 7035 7660 8286 891 1 9536 0160 0785 i4io 2o35 2659 3284 3908 4532 5i56 5780 64o4 7028 7652 8276 3970 4596 5221 5847 6472 7098 7723 8348 8973 9598 0223 o848 1472 2097 2733 3346 3970 4595 5219 5843 6467 7091 77t4 8338 8899 896 o484 o546 8o63i8i26 8684j8746 93o5 9367 99269988 0608 9523 oi46 0770 1393 2016 2639 3262 3885 45o8 5i3i 5753 6376 6998 7621 8243 8865 9487 0109 0731 i353 1975 2597 3218 384o 4461 5082 5 1 45 9585 0209 o833 1455 2079 2702 3325 3948 4570 5193 58 1 6 6438 7061 7683 83o5 So 8f 9^ 0172 0794 i4i5 2o37 3659 3280 3902 4523 5704 6325 6946 7567 8188 8808 9429 ♦o5o 0670 5766 6387 7008 7629 BaSo 8870 9491 01 1 2 0732 4o33 4658 5284 5909 6535 7160 7785 84n 9o36 9661 0285 0910 1 535 2160 2784 3408 4o33 4657 5281 5905 6529 7153 7777 84oi 9024 9648 0271 0894 i5i8 2l4l 2764 3387 4oio 4633 5255 5878 65oo 7123 7745 8368 8990 9612 0234 o856 1478 2099 2721 3343 3964 4585 5307 5828 6449 7070 7691 83i2 8933 9553 0174 0794 4095 4721 5347 972 6597 7223 7848 8473 9098 9723 o348 0973 1597 2222 2846 3471 4095 4719 5344 5968 6592 7215 783. 846 9086 9710 o333 0957 i58o 22o3 2826 3449 4072 4695 53i8 5q4o 6563 7i85 7808 843o 9052 9674 0296 0918 1 540 2161 2783 34o5 4026 4647 5269 5890 65ii 7i32 7753 8374 9615 0236 o856 4i58 4784 5409 6o35 6660 7285 7910 8536 9161 9786 o4io io35 1660 2284 2909 3533 4i58 4782 5406 6o3o 6654 7378 7902 8525 9149 9772 0396 1019 1642 2265 2889 35ri 41 34 4757 538o 6002 6625 7247 7870 8492 91 14 9736 o358 0980 1602 2224 2845 3467 4088 4710 533i 5952 6573 7194 7815 8436 9057 9677 0298 0918 3 4 5 6 7 8 9 Diff. & MulU I 3 3 4 5 6 7 8 9 Diff. 63 136 189 352 3i5 378 441 5o4 567 I 6a a 124 3 186 4 248 5 3io 6 37a 7 434 8 4o6 9 558 f Diff. Sl Mult. 104 LOGARITHMS OF NUMBERS Norn. TOOO oi 03 o3 o4 o5 '06 07 09 ■7010 ti la i3 i4 13' 16 1 a 5 6 7 8 9 " ''7 18 19 70 ao 21 aa .a3 M 2S :a6 17 aS 39 70 3o 3i 33 34 35 36 37 38 3f 70 4o 4i 42 43 ip' ■' 45 46 47 48 49 70 5o 5i 5'2 53 54 55 56 57 58 59 645 0980 1601 aaai a84i 3461 4081 4701 5321 5941 656i 7180 7800 84i ^903. • 9658 {o4a i663 2i83 2903 35a3 4 1 43 4763 5383 6oo3 66a3 7242 7862 848 1 9100 9720 846 0277 0339 0896 oq58 i5i5 I 21 34 2 2752 2814 3371 3 5227 5845 6463 7081 7700 83i8 8935 3433 4o52 4670 5289 5907 65^5 7143 7761 8379 8997 8470171 0789 i4oo 2oa4 2641 3876 4493 5 1 10 5727 6343 6960 7577 8193 8810 9426 8480043 0659 1275 1891 25o7 3i23 373 435 96159677 02330295 o85o 1 468 2o85 >77 1196 iio4 1725 2345 5 85 296 358 42o5 4825 5445 6o65 6685 73o4 7924 Ji543 9162 9781 o4oi 1020 1639 2257 2876 3495 4ii3 4732 535o 5969 6587 72o5 7823 8441 9059 1167 1787 2407 3027 3647 4267 4887 5507 6127 6746 7366 7986 S6o5 9224 9843 0462 1082 1700 3319 2938 3557 4175 4794 5412 6o3f 6649 7267 7885 85o3 912 2703 3320 3937 4554 5171 5788 64o5 7022 7639 8255 8872 9488 oio4 0721 1 337 io53 25r 3i8 38oo 44i6 0912 53o 2147 2764 3382 3. 40 1 5233 58 5o 6467 7084 7700 83i7 8q33 9550 0166 0782 1398 2ot4 263o 3246 3862 4478 4970 5586 6201 9739 98* o356 0974 1591 2209 1229 1849 2469 3089 3709 4329 4 6189 6808 74a8 8047 8667 9286 9905 o524 1143 1762 338i 3ooo 3619 4237 4856 5474 6092 671 1 7329 7947 8565 9(83 5o32 5093 5647 5709 6263j6324 6817687816940 7432 7493 7555 2826 3443 4061 4678 5295 5912 6528 7145 7762 8378 8995 9611 0228 0844 1 460 2076 269a 33o8 3924 4539 5i55 5770 6386 7001 -t6i6 00 6418 io36 1 653 2271 2888 35o5 4l22 4739 5356 5973 6590 7207 7824 844o 9057 9673 0289 ooo5 l522 2i38 2754 3369 3o85 4601 5216 5832 6447 7063 7678 1 291 7V 253i 3i5i 3771 4391 5oi I 563 1 6251 6870 7490 8109 872- 934! 9967 o586 I2o5 1824 2443 3o62 368o 4299 49»7 5536 61 54 6772 7391 80C19 8626 9244 9862 o48o 1097 171 5 2332 2950 3567 4r84 48oi 54i8 6o35 6652 7269 7885 85o2 9118 9735 o35i 0967 1583 :^?? 343 1 4o47 4662 5278 5893 65o9 7124 7739' i353|i4i5ji477 1973 2o35 2097 2593 32 1 3 3833 4453 5073 5693 63 1 3 6932 7552 8171 8791 9410 ♦029 o648 1267 1886 25o5 3i24 374a 436 1 5598 62x6 6834 7452 8070 8688 2655 3275 3895 45i5 5 1 35 5755 6375 6994 7614 8233 8853 9472 0091 0710 j32 194 2367 3i86 38o4 4423 5o4i 566o 6278 6896 75i4 8i39 87S0 3oii 3629 4246 4863 5480 6097 6714 733o 7947 8563 9180 9796 o4ia 1029 1645 2261 2877 3493 4io8 4724 5340 5955 6570 7186 7801 9306 9368 9924 o542 1159 1777 2394 6 3 1221 1 838 2456 3073 3690 43o7 4925 5542 61 58 6775 7392 8009 8625 9241 9858 0474 (090 1706 2322 2938 3554 4170 4786 5401 60T7 6632 7247 7862 2717 3337 3957 4577 5197 58i7 6437 7o56 7676 8295 8915 9534 oi53 0772 1391 2010 2629 3247 3866 5io3 5721 634o 6958 7576 8194 8812 943© ♦o47 o665 1283 1900 25i8 3i35 3752 4369 4986 56o3 6220 6837 7454 8070 8687 93o3 II 52 1768 2384 3ooo 36i6 423 1 4847 5463 6078 6693 7309 7924 1539 2159 2779 3399 4019 4639 5259 "879 6499 7118 7738 8357 8976 9596 02l5 o834 1453 2072 2691 3309 3928 4546 5i65 5783 64oi 7020 7638 8256 8874 9491 0109 0727 1 344 1962 2379 3197 38 14 443 1 5o48 5665 6282 6899 75i5 8i32 8748 9365 9981 o§97 I2l3 i83o 2446 3o6i 3677 4293 4909 5524 6i4o 6755 7370 7985 DiflT. 0123 4 56789 63 Diff. Diif. & Malt. I 63 2 126 3 189 4 252 5 3i5 6 378 7 44 1 8 5o4 9 567 I 62 3 124 3 186 4 248 5 3io 6 372 7 434 8 4o6 9 558 DiflT. & Mult. LOGARITHMS OF NUSIBERS 105 Num. 7060 61 62 63 64 65 66 67 68 69 7070 71 72 73 74 75 76 77 78 79 7080 81 83 83 84 85 86 87 88 89 7090 91 03 94 96 98 99 71 00 01 oa o3 04 o5 06 07 08 09 71 10 II 12 i3 14 i5 16 17 18 19 Num. 01234 56789 Diff. 848 8047 8662 9277 # 9892 849 o5o7 1122 1736 235 1 2o65 358o 4194 4808 5423 6037 665 1 7264 7878 8492 9106 # 9719 85oo333 0946 ,559 2172 2786 3399 4oii 4624 5237 585o 6462 7075 7687 83oo 8912 # 9524 85i oi36 0748 i36o 1972 2583 3195 3807 44f8 5o3o 564i 6252 6863 7474 8o85 8696 9307 # 99^7 852 0528 1 139 1749 2359 2970 358o 419Q 8109 8724 9339 9954 o568 ii83 1798 2412 3027 364 1 4256 4870 5484 6098 6712 7326 7940 8553 9167 9780 0394 1007 1621 2234 2847 3460 4073 4686 5298 591 1 6524 7i36 7749 836i 8973 9585 0197 0809 l42I 2o33 2645 3256 3868 4479 5091 5702 63i3 6924 7535 81 46 8757 9368 9979 0589 1200 1810 2420 3o3i 364 1 425i 8170 8785 9400 ♦01 5 o63o 1245 1859 2474 3o88 3703 43i7 4931 5545 6159 6773 7387 Soot 861 5 9228 9842 0455 1069 1682 2295 2908 3521 4i34 4747 536o 5972 6585 7197 7810 8422 9034 9646 02 58 0870 1482 2094 2706 33i7 3929 4540 5i52 5763 6374 6985 7596 8207 8818 9429 ♦o4o o65o 1 261 1871 2481 3092 3702 43i2 8232 8847 9462 0077 0691 i3o6 1921 2535 3i5o 3764 4378 4993 5607 6221 6835 7449 8062 8676 9290 9903 o5i7 ii3o 1743 2356 2969 3582 4195 48o8 5421 6o34 6646 7259 7871 8483 9095 9708 o32o 0932 1 544 2i55 2767 3379 3990 4602 52i3 5824 6435 7046 7657 8268 8879 9490 oioi 071 1 l322 io32 2542 3i53 3763 4373 8293 8908 9523 oi38 0753 1 368 1982 2597 32JI 3826 4440 5o54 5668 6282 6896 75io 8124 8737 9351 9965 0578 1 191 i8o5 2418 3o3i 3644 4257 4869 5482 6095 6707 7320 7932 8545 9157 9769 o38i 0993 i6o5 2216 :^828 3440 4o5i 4663 5274 5885 6496 7108 7719 8329 8o4o 9551 0162 0772 i383 1993 2604 32i4 3824 4434 8355j84i6 89709031 9585 9646 0199 0814 1429 2044 2658 3273 3887 45oi 5n5 5730 6344 6958 7571 8i85 8799 9412 ♦026 0639 1253 1866 2479 3092 3705 43i8 4931 5543 6i56 6769 738 1 7993 8606 9218 9830 0442 io54 1666 2278 2889 35oi 4ii2 4724 5335 5946 6558 7169 7780 8391 9001 9612 0223 o833 1444 2o54 2665 3275 3885 4495 0261 0876 1490 3io5 2720 3334 3948 4563 5i77 5791 64o5 7019 7633 8246 8860 9474 0087 0701 i3i4 1927 2540 3i53 3766 4379 4992 56o5 6217 683o 7442 8o55 8667 9279 o5o3 iii5 1727 2339 35o 362 4174 4785 5396 6008 6619 723o 7841 8452 9062 9673 0284 0894 i5o5 2Tl5 2726 3336 3o46 4556 8478 9093 9708 o322 0937 1 552 2167 2781 3396 4oio 4624 5238 5852 6466 7080 7694 83o8 8922 9535 0149 0*762 1375 1988 2602 32i5 3828 4440 5o53 5666 6279 6891 75o4 8116 8728 9340 9952 o564 1176 1788 2400 3oi2 3623 4235 4846 5457 6069 6680 7291 7902 85i3 9124 9734 o345 0955 1 566 2176 2787 3397 4007 4617 8539 9154 9769 o384 0999 i6i3 2228 2843 3457 4071 4686 53oo 5914 6528 7142 7755 836 9596 0210 0823 1437 2o5o 2663 3276 3889 45o2 5ii5 5727 634o 6952 7565 8177 8789 9402 ♦oi4 0626 1238 1849 2461 3073 3684 4296 4907 5519 61 3o 6741 7352 7063 8574 9185 9795 o4o6 1017 1627 2237 2848 3458 4068 4678 8601 9216 983 1 0445 1060 1675 2289 2904 35i8 4i33 4747 536i 5975 6589 7203 7817 843i 9044 9658 0271 o885 1498 2111 2724 3337 ?5o )63 5176 5788 16401 7014 7626 8238 885i 9463 0075 0687 1299 lOII 2522 3i34 3746 4357 4968 558o 6191 6802 74i3 8024 8635 9246 9856 0467 1078 1688 2298 2909 3519 4129 4739 1 3 4 5 6 7 8* 9 Diff. & Molt. I 63 2 124 3 186 4 248 5 3io 6 372 7 434 8 496 9 558 61 Diff. 1 61 2 122 3 i83 4 244 5 3o5 6 366 7 427 8 488 9 549 Diff. & MttiL 14 106 31 aa aS a6 a? 28 29 71 3o 3i 3a 33 34 35 36 37 38 39 ■71 4o 4i • 43 43 4 4 46 4? 49 71 5o 5i 5a 54 55 56 57 IJCl 59 71 60 61 62 63 64 65 66 67 68 69 71 70 71 7a 73 74 75 76 77 78 79 LOGARITHMS OF NUMBERS. Muaw 2 9 4 5 6 7 8 9 85a 4800 5410 6oao 6629 7239 7849 8458 9068 • 9677 853 0286 0895 i5o4 2n3 2722 333 1 3940 4S8 5i57 5765 6374 7 8198 8807 y^i " *i 854 cx>2a o63o 1 238 1845 a453 3668 42 488a ^5489 6096 6703 73io 7917 85a4 91 3o # 9737 855 o343 0950 J 556 ai62 2768 3374 3 4 5192 5797 64o3 7008 7614 8219 8824 9421 856 oo3 0640 66906751 7300 736 1 5983: 7543- 9191 9797 o4o4 1010 1616 2223 2829 3435 4o4i 4646 5252 5858 6463 7069 7674 8o32 899250 1017 1078 1626 2235 2844 3453 4062 4670 5a79 5887 6495 oi44 0752 1359 1967 a§74 3i8a 3a43 3789 385o 4397 5oo4 56if 6ai8 66a5 7432 8o38 8645 9252 9858 o464 1071 1677 2283 2889 3495 4ioi 4707 53i3 5918 6524 7129 7735 834o 8945 9550 01 56 0761 1687 2296 2905 35i4 7165 7773 838i 8c 0205 o8ia 1420 2028 a635 4457 5o64 5671 6278 6885 7492 9312 o525 ii3i 1738 2344 2950 3556 4162 4766 7190 7795 8401 9006 9611 0216 0821 8093 8702 93ii odJo II39 1748 2357 2966 3575 4i83 479a 5400 6009 0265 0873 i48i 2088 2696 5ia5 573a 6339 6946 7553 8160 8766 9373 24o4 3oio 36i6 42aa 48a8 5434 846 f 9066 9672 0277 0882 5io5 5715 632 6934 7544 5166 5776 516386 6995 7005 8i53 8763 9372 9082 0591 1200 1809 2418 3027 3635 3696 43o5 4914 5522 6070 61 3o 4244 4853 5461 60786739 6800 6660 692 7286 7894 85o2 91 10 9718 0326 0934 1 542 2149 2757 3364 3971 4579 5i86 5793 7007 7614 6a2o 8827 0646 1253 1859 5494 6100 6706 73ii 7916 8522 9127 9732 0337 0942 8ai4 8824 9433 ♦042 o652 1 261 1870 7347 7955 8563 9171 9779 0387 X5 2 2210 2817 3425 4o32 4639 5247 5854 6400 6461 7067 7674 8281 8888 94339494 ♦o4o OIOI 0707 i3i3 19191 2465 3071 3677 4a83 488914949 25a6 3i32 3738 4343 5555 6161 6766 7372 7977 8582 9187 9793 0398 1002 5227 5837 64476508 7o56 766677 8275 8885 9494 oio3 0713 l322 1931 2540 3i48 3757 4366{44a7 5o35 -74 i83 6 1 91 74o8 8016I8077 8624 9232 9840 o448 I ©56 i663 2271 2878 3486 4093 4700 53o7 5914 6521 7128 7735 8342 8948 0161 0768 1 374 1980 2586 3192 3798 4404 5oio 5288 5898 7117 27 8336 8946 9555 0164 0773 0834 1443 2052 2661 3209 3270 1 383 2600 38i8 5644 6252 8685 9293 9901 5349 5959 6568 7178 7788 8397 9007 9616 0225 3879 4488 5096 5705 63i3 74697530 8i38 8746 9354 9962 0569 1177 1785 2392 o5o9 illO 1724 233 1 20393000 3546 36o7 4i5442i4 4761 4822 5368 5429 59756036 6582 7796 8402 9009 95559615 oaaa 0828 1435 2041 2647 3253 385o 6643 71897249 7856 8463 9070 9676 0283 0689 1495 2101 2707 33i3 39^ 44654525 5070 5i3i 56i6 5676 5737 6221 6282 6342 6827 6887 6048 7432 7493 7d53 803780988159 8643 8703 8764 9248 9308 9369 9853|99i4 9Q74 o458 05190579 io63'ii23 1184 1 2» 3 4 5 6 7 8 9 Diir. DiflT. A, Mult. I a 3 4 5 6 7 8 1 a 3 4 5 6 7 8 61 123 i83 ^44 3o5 366 427 488 549 60 120 180 a4o 3oo 36o 4ao 480 540 DiflT. Difr.& Mult. Num. 7180 81 82 83 84 85 86 87 88 89 7190 9* 91 93 94 96 97 98 99 7200 01 02 o3 o4 o5 06 07 08 09 72 10 II 13 i3 i4 i5 16 17 18 19 71 ao ai 22 23 34 25 26 27 28 29 72 3o 3i 32 33 34 35 36 37 38 39 Num. LOGARITHMS OF NUMBERS. 107 01234 56789 850i244{i3o5 1849 191 o 2454 3o59 3663 4268 4873 5476 6081 6685 7289 7893 8497 9101 • 9704 857o3o8 0912 i5i5 2118 2722 3325 3928 453i 5i34 5737 634o 6943 7545 8i48 8750 9353 # 9955 858 0557 1 159 1761 2363 2965 3567 4169 4770 5372 5973 6575 7176 7777 8379 8980 ♦ 9§8i 8590181 0782 1 383 1984 2584 3i85 3785 4385 4986 5586 6186 6786 25i4 3119 3724 4328 4^33 5^37 6f4i 6745 7349 7953 8557 9161 9765 o368 0972 1575 2179 2782 3385 3988 4591 5194 5797 6400 70o3 7605 8108 8810 94i3 ♦01 5 0617 1220 1822 2424 3o25 3627 4229 483 1 5432 6o34 6635 7236 7837 8439 9040 9641 0242 0842 1 365 1970 2575 3i8o 3784 438o 499J 5597 6202 6806 74io 8oi4 86i8 9221 9825 0429 io32 i636 2239 2842 3446 4049 4652 5255 5858 646o 7063 7666 8268 8871 9473 0075 0678 1280 1882 2484 3o86 3687 4289 4891 5492 6094 6695 7296 7898 8499 9100 9701 o3o2 0902 1443 i5o3 2044 2644 3245 3845 4445 5o46 5646 6246 2104 2704 33o5 3905 45o5 5io6 5706 63o6 68466906 1426 2o3i 2635 3240 3845 444cf 4509 5ii4 5718 6322 6926 5o53 5658 6262 6866 7470 8074 8678 9282 9885 o48o 1093 1696 2299 290J 35o6 4109 4712 53i5 5918 6521 7123 7726 8329 8931 9533 oi36 0738 1 340 1942 2544 3i46 3748 4349 4951 5552 6i54 6755 7357 7958 8559 9160 9761 o362 0962 i563 2164 2764 3365 3965 4565 5i66 5766 6366 i486 2091 2696 33oi 3905 753 1 8i34 8738 9342 9946 0549 ii53 1756 236o 2963 3566 4(69 4772 5375 5978 658i 7184 7786 8389 8991 9594 0196 0798 i4oo 2002 2604 3206 38o8 4409 5oii 56i3 6214 681 5 7417 8018 8619 9220 9821 0422 I023 1623 2224 2824 3425 4o25 4625 5226 5826 6426 696617026 1 547 2l52 2756 336i 3965 4570 5i74 5770 6383 6987 7591 8195 8799 9402 ♦006 0610 I2l3 1817 2420 3o23 3627 423o 4833 5436 6o38 664i 7244 7847 8449 905 1 9654 02 56 o858 1 460 2062 2664 3266 3868 4470 5071 5673 6274 6876 7477 8078 8679 9280 9881 0482 io83 i683 2284 2884 3485 4o85 4685 5286 1607 2212 2817 3421 4026 463o 5235 5839 6443 7047 765 1 8255 8859 9463 00670127 0730 1 334 1937 2541 3i44 0670 1274 1877 2480 3o84 3687 4290 4893 5496 6099 6701 73o4 7907 8509 9112 9714 o3i6 0918 1321 2123 2724 3326 3928 453o 5i3i 5733 6334 6986 7537 8i38 1668 2273 2877 3482 4086 4691 5295 5899 65o4 7108 7712 83 16 891 952 1728 2333 2938 3542 4i47 475i 5356 5960 6564 7168 7772 8376 8980 9584 0187 0791 1894 1998 2601 32o4 3807 44ii 5oi4 56i6 3747 435o 4953 5556 6159 6219 6762 7364 7967 8570 9172 9774 0877 2i83 2785 3387 3988 4590 5192 1789 2394 2998 36o3 4207 4812 5416 6020 6624 7229 7832 8436 9040 9644 0248 o85i r455 2o58 2661 3265 3868 4471 5074 5677 6280 6882 7485 8088 8690 9292 9895 0497 1099 1 701 23o3 2905 35o7 4109 4710 53i2 5913 65i5 7116 7717 83i8 8919 9520 0121 0722 1 323 1924 2024 3i25 3725 4325 4926 5526 6126 6726 7086 7146I7206 7266'7326 6822 7425 8027 863o 9282 9835 0437 1089 i64i 2243 2845 3447 4o48 465o 5252 5793 5853 6394:6455 699617056 75977657 81988258 8739 8799 8859 9400J9460 0061 0662 1263 9340 9941 od42 1143 1743 2344 2944 3545 4i45 4746 5346 ♦001 0602 I2o3 Dim i8o3|i863 2404 1 2464 3oo5 3o65 36o5'3665 42o5|4265 48o6!4866 5406 5466 60066066 5886 5946 6486'6546l66o6 6666 12 3 4 5 6 8 9 Diff. k. Mult. 60 I 2 3 4 5 6 7 8 I a 3 4 5 6 7 8 61 12a i83 244 366 427 488 549 60 120 180 240 3oo 36a 4ao 480 540 DiflT. Diff. &, Mult. |i. >■>*. ili III f k j 108 LOGARITHMS OF NUMBBBS. i NtlRL 4i 45 46 4? 4^ 49 5 1 Si 53 54 55 '56 5? 58 59 7260 61 62 63 64 65 66 67 68 69 72 7O' 71 72 .73 74 75 76 77 78 79 7280 81 82 83 84 85 66 87 88 89 7290 91 9^ 93 94 95 96 97 98 99 JN'ttflDtk 12 3 4 5 6 7 8 9 859 7386 7985 8386 9185 • 9784 9844 86oo384 0983 1 583 2183 . 2781 7446 8045 8645 9245 338o 3979 4578 5 1 77 5776 6374 6073 7371 8170 8768 o444 1043 1643 3343 284 1 3440 40 io 4638 5337 5835 6434 7o33 763 1 822 882 • 99^4 861 0562 1160 1758 2356 2954 3a53 4149 4747 93669426 ♦024 0622 1 320 t8i8 54o4 6cx>i 5344 5941 65396598 71 36 7733 833o 8927 • 9324 862 01 2 1 0717 i3i4 lOIO 2507 3io3 3699 4396 4893 5488 6084 6680 7275 7871 8467 9063 « 9658 863 0253 o848 1443 2039 2634 2416 3or4 36ii 4209 4806 75o6 8io5 8705 93o5 9904 o5o4 iio3 1702 3302 2901 35oo 4099 4698 5297 5895 6494 7093 7691 828c 8888 9486 0084 0682 1280 1878 3476 3073 3671 4369 4866 5464 6o6r 6658 7255 7853 8449 9046 9643 024c o837 1433 2o3o 9626 3323 3819 4355 44 1 5 756617626 8i658335 87658825 9365|9425 9964 ♦024 o564o624 I i63'i223 4951 5547 6143 67396799 5oii 5607 6203 7335 793 1 8526 9122 9717 o3i2 0908 i5o3 2098 2693 7394 7990 8586 918 9777 0372 0967 1 562 2i58 2753 1763 3362 2961 356o 4i59 4-58 5356 5955 6554 7 1 52 775 1 1832 2432 302I 3620 4319 4817 5416 6oi5 66i4 7313 781 1 8349 8409 8947 0144 0743 i34o 1938 3536 3i33 373 1 4328 5523 6121 6718 73i5 7912 9007 9546 9605 0204 0802 i4oo 1997 3595 3193 3791 4388 4926 4986 5583 6180 6778 7375 7972 85o9 9106 9703 o3cx) 8569 9160 9762 0359 08960956 1493 3089 2686 3282 3878 4474 5070 5666 6262 6858 7454 8<>5o 8645 9241 9836 o433 1027 1622 3217 2812 i553 2149 2745 3342 3938 4534 5i3o 5726 6332 6918 75i4 8109 8705 9300 9896 0491 1086 1682 2277 2872 774617806 84o5 9(X)5 9605 O304 7686 8285 8885 9485 0084 0684 1283 1882 2481 3o8i 368o 4279 4877 5476 6075 6673 j 7372 7870 8469 9067 9665 0263 0861 1459 3o57 3655 3253 38 5o 4448 5o45 5643 6240 6837 7434 8o3i 8628 9225 9822 0419 1016 l6l3 2209 2805 34oi 3997 4594 5ioo 5786 6382 6977 7573 7633 8169822b 8764 8834 93609419 ~~ ♦01 5 8345 8945 9545 01 44 0744 1 343 1942 v54i 3i4o 3739 4338 4937 5536 6i35 6733 7.332 7930 8539 9137 9735 o333 0031 i5i9 2117 2715 33 1 3 3910 4^08 5io5 5703 63oo 6897 7494 8091 8688 9285 9882 0479 1075 1673 3268 3865 346i 4o57 4653 5249 5845 644 1 7037 o8o3 i4o3 ?0O3 2601 3300 9955 o55f ii46 1741 2336 2931 7866 8465 9065 9665 0264 o863 1 463 3062 3661 3260 371 439 4997 5596 6195 6793 7395 8588 9187 9785 o383 098J 1 579 2177 2775 3373 3970 4567 5i65 0923 1333 3132 2721 3320 99 3859 iq8 4458 5o57 5656 6254 6853 7453 80 5o 8648 9247 9845 0443 io4i 1639 2237 2834 3432 4o3o 4637 5225 5762 5822 63606419 6957 7554 7016 7614 8211 8i5i 8748 9345 ii35 I73i 2338 .934 3520 4117 47i3|4772 5309! 5 368 5905 5964 8808 9404 ♦001 0598 1194 1791 3387 3984 358o 4176 65oi 7097 656o 7i56 0610 I305 1801 2396 2991 7693 7752 82888347 8883 8943 94799539 00740134 0670 0739 1 2651 1 324 i860 I030 3455 251 5 3o5of3iio Diff-. 12 3 4 5 6 7 8 9 Dim sl Mult. I 2 3 4 5 6 7 8 I 2 3 4 5 6 7 8 DifT. 60 1 30 180 240 3oo 36o 430 480 540 177 236 295 354 4i3 472 53 1 Diff. &, Mult. LOGARITHMS OF NUMBERS. 109 Nam. 7300 01 03 o3 o4 o5 06 07 08 09 73 10 II (2 i3 14 i5 16 17 18 19 7320 21 22 23 24 25 26 27 38 29 73 3o 3i 32 33 34 35 36 37 38 39 7340 4i 42 43 44 45 46 47 48 49 73 5o 5i 52 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7 8 9 8633339 3823 4418 5oi3 56o8 6303 6797 7391 7985 858o 9174 # 9768 864 o362 0056 i35o 2143 2737 333 1 3934 45i7 5iii 5704 6397 6890 7483 8076 8669 9262 # 9855 865 0447 io4o i633 2235 2817 3409 4ooi 4593 5i85 5777 6369 6961 7552 8144 8735 9327 # 9918 8660309 IIOO 169 1 2282 3288 3883 4478 5083 6678 7373 7867 846 X 9055 9649 o34j o837 i43i 3035 3618 3213 38o5 4399 4993 5585 6179 6772 7365 7958 855i 9x43 9736 0329 0921 i5i4 2106 2698 3291 3883 4475 5067 5659 625i 6842 7434 8025 8617 9208 9800 0391 0983 x573 2i64 3755 3387 3878 4468 5o59 565o 3764 4359 4954 5548 6143 6737 7333 7936 8530 91x4 9708 o3o3 0896 1490 2084 2678 3371 3865 4458 5o5i 5645 6238 683 1 7424 8017 8610 9303 9795 o388 0980 x573 3i65 3758 335o 3942 4534 5x36 5718 63io 6901 7493 8o85 8676 9268 9859 o45o io4i (633 3233 2814 Difl*. 3346 3937 4538 5ii8 5709 6240 6399 683o '" 7421 801 1 8601 7480 8070 8660 34o5 3996 4587 5x77 5768 6358 6889 6949 7539 8139 8719 Diff. ic Mult. 1 8 4 6 7 8 9 I 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 60 1 30 180 340 3oo 36o 430 480 54o 59 118 177 236 295 354 4i3 472 53i Diff. Diff. &. Mult. i' I LOGARITHMS OF NUMBERS. Ill Num. 7420 ai 23 a3 35 36 37 38 39 74 3o 3i 3a 33 34 35 36 37 38 39 7440 4i 42 43 44 45 46 47 48 49 74 5o 5i 53 53 54 55 56 57 58 59 7460 61 6a 63 64 65 66 67 68 69 7470 71 72 73 74 75 76 77 78 79 Num. 12 3 4 5 6 7 8 9 870 4o39 4624 Saio 5705 638o 6965 7549 8i34 8719 93o4 • 9888 871 0473 1057 i64i 3326 2810 3394 3978 4562 5i46 5729 63i3 68. 74fto 8064 8647 9230 • 9814 87 a 0397 0980 1 563 3146 3728 33ii 3894 . 4476 5o59 564i 6224 6806 7388 7970 8552 9134 • 9716 87302 >o 1462 2043 3635 3206 3787 4369 4950 553i 6112 6693 7274 7855 8435 4098 4683 5268 5853 6438 7023 7608 8193 8777 936a 9947 o53i iii5 1700 2284 2868 345? 4o36 4620 5204 5788 6871 6955 7539 813a 8705 9289 9872 0455 io38 i6ai 2204 2787 3369 3952 4535 5ii7 5700 6282 6864 7446 8029 861 1 9193 9774 o356 0038 1020 2101 2683 3264 3845 4427 5oo8 5589 6170 6751 7332 7913 8493 4i56 4741 5327 5912 6497 7082 7666 825i 8836 9421 ♦095 0589 1 174 1758 2342 2927 35ii 4095 4679 5262 5846 643o 7oi3 7507 8180 8764 9347 9930 o5i3 1096 1679 2262 2845 3428 4010 4593 5175 5758 634o 6923 75o5 8087 8669 9251 9833 o4i4 0996 1578 2159 3741 3322 3904 4485 5o66 5647 6228 6809 7390 7971 855i 42i5 4800 5385 5970 6555 7140 7725 83ro 8894 9479 oo63 o648 ia3a 1817 2401 2985 356 4i5 4737 5321 5904 6488 7072 7655 8239 8822 94o5 9988 0572 ii55 1738 2320 2903 3486 4069 465 1 5234 58i6 6398 6981 7563 8145 8727 9309 9891 0473 io54 i636 2218 2799 338o 3962 4543 5i24 5705 6286 6867 7448 8029 8610 4273 4858 5444 6029 6614 7190 7783 8368 8953 9537 OI23 0706 I29I 1875 2459 3o43 3627 421 1 4795 5379 5963 6546 7f3o 7714 8297 8880 9464 ♦047 o63o I3l3 1796 2379 2962 3544 4127 4709 529a 5874 6457 7039 7621 8203 8785 9367 9949 o53i iii3 1694 2276 2857 3439 4020 4601 5i83 5763 6344 6925 7506 8087 8668 4333 4917 55o2 6087 6672 7257 7842 8427 901 1 9596 0180 0765 1 349 1933 a5i8 3l02 3686 4270 4854 5437 60a I 66o5 7188 7772 8355 8939 9322 oio5 0688 1371 i854 2437 3020 36o3 4i85 4768 535o 5933 65i5 7097 7679 8261 8843 9425 ♦007 0589 1171 1752 2334 2915 3497 4078 4659 5240 5821 64o2 6983 7564 8145 8726 4390 4975 556i 61 46 6731 73i6 7900 8485 9070 9654 0239 0823 i4o8 2576 3i6o 3744 4328 4912 5496 6080 6663 7247 783o 84i4 9580 01 63 0747 i33o 191 2 2495 3078 366 1 4243 4826 5408 5991 6573 7i55 7738 8320 8902 9484 oo65 0647 1229 1810 2392 2973 3555 4i36 4717 5298 588o 646i 7o4i 7622 8203 8784 4449 5()34 5619 6204 6789 7374 ?59 '^44 9128 97i3 0297 0882 1 466 2o5o 2634 3211 38o 4387 4970 5554 6i38 6i 45o7 5092 5678 6263 6848 7432 8017 8602 9187 977» o356 0940 1 524 2693 3277 386 1 4445 5029 56i3 6722 73o5 7889 8472 9055 9639 0222 o8o5 t388 1071 2554 3i36 3719 43o2 4884 5467 6049 663 1 7214 7796 8878 8960 9542 01 a4 0705 1287 1869 245o 3o32 36i3 4194 4775 5357 5938 65i9 7100 7680 8261 8842 6750 7363 7?47 853o 9114 9697 0280 o863 r446 2029 2612 3195 3777 436o 4942 3526 6107 6690 7272 7854 8436 9018 4566 5i5i 5736 6321 6906 7491 8076 8660 9245 9830 o4t4 i583 2167 2751 3335 3919 45o3 5087 5671 6255 6838 7422 8oo5 8589 9172 9755 o338 0921 i5o4 2087 2670 3253 3836 44i8 5ooi 5583 6166 6748 733o 7912 8494 9076 Diff. 96009658 0182 0240 0764 1 345 1927 25o8 3090 3671 4252 4834 541 5 5996 6577 7i58 7738 83i 890C1 0822 i4o3 1985 2566 3i48 3729 43ii 4892 5473 6o54 6635 7216 7797 9|8377 8958 DifT. k Mult. I ^9 2 118 3 177 4 236 5 295 354 6 7 4i3 8 472 Q 53i 12 3 4 6 7 8 9 Diff. I 2 3 4 5 6 7 8 58 116 174 a33 290 348 406 464 5aa II Diff. & Mult. 'I'lppp 112 LOOAEITHMS OF NUMBERS. Numb 8i 82 83 84 85 86 87 88 89 74 '9** 91 9? 93 94 95 96 97 98 99 7500 01 oa o3 o4 06 07 oB 09 75 10 II I a i3 i4 i5 16 17 18 ^9 75 ao ai 33 aS a6 27 a8 29 75 3o 3i 3a 33 34 35 36 37 38 39 Nam* 12 3 4 5 6 7 8 9 ST3 9016] • 9597 8740177 0757 i338 1918 3498 3078 3658 4a38 9074 9655 oa35 o8i5 1396 56 3i36 3716, 4296 9132I9190 971 319771 0393035 1 08740932 1454! 1 5i 2 io34|ao9a 2614 2672 3194 3253 3774 3832 4354144" 48184876 53985456 59786036 6557 7137 7716 8296 8875 9454 875 oo34 o6i3 1 192 1771 2349 2928 3507 4086 46(34 5243 58a I 6978 7556 8 1 34 8712 9290 • 9808 876 o446 1023 ]6oi 2178 2756 3911 4488 5o65 5642 621 6796 7373 9248 9829 0409 0090 1370 3i5o 2730 33io 3890 4470 4934|4992 5o5o 66i5 7195 7774 8354 8o33 9512 0091 0671 I25o 1828 •i4o7 2986 3565 4i43 4722 53oo 5879 6457 7o35 7614 8192 8770 9348 9925 o5o3 1081 1659 2236 2814 3391 3968 4546 5ia3 5700 277 6854 743 1 96 5S.45572 6094 J6 1 52 66736731 7253 7832 84i2 8^91 9570 0149 0728 i3o7 1886 2465 3o44 36a3 4201 4780 5358 5937 65i5 7093 7671 8249 8828 94o5 83 o56i 1 1 39 1716 2294 2871 3449 4026 46o3 5i8o 5758 6335 6911 7488 7950 8007 8o65 73n 7890 8470 9049 9628 0207 0786 1 365 1944 2323 3l02 368 1 4259 4838 5416 5995 6573 7i5i 7729 83o7 8885 9463 ♦04 1 0619 1197 1774 85268584 91039161 • 96809737 8770256o3i4 08330890 1409 » 467 io85 2043 256 1 261 3137I319' I 563o 6210 6789 7369 7948 8528 9107 9686 0265 0844 1 423 2002 258i 3i6o 3738 4317 4896 5474 6o52 663i 7209 7787 8365 8943 9521 0099 0677 1254 i832 2352 2929 35o6 4o84 4661 5238 58i5 6392 6969 7546 2409 2987 3564 4i4a 4719 5296 5873 645o 7027 7604 8642 9218 9795 0371 0948 t524 2100 2677 3253 8123 8180 86998757 92769334 9853 9910 0429 0487 ioo5 1 582 2 1 58 2734 33io io63 1639 2216 2792 3368 9364j9422 9945 o525 1106 1686 9306 9887 0467 io48 i6a8 2208 2788 3368 3948 4528 5io8 5688 6268 6847 7427 800680648122 2266 2846 3426 4006 4586 5i66 5746 6325 6i^5 7485 ♦oo3 o583 ii64 1744 2324 2904 3484 4064 4644 5224 58o4 6383 6960 7543 9480 0061 064 1 1222 1802 2382 2962 3542 4l22 4702 8585 9165 8643 9223 o38i 0960 i53q 97449802 o323 0902 i48i 2060 263q 321S 3796 4375 4953 5532 6110 6689 7267 7845 8423 9001 9579 01 57 0734 l3l2 9538 0119 0699 1280 i860 2440 3020 36oo 4i8o 4760 5283* 5340 592a 6499 707 211 2697 3275 3854 4433 5oii 5590 6108 6746 7325 7903 848 1 9059 9637 oai4 0792 1370 1890 1947 8701 9281 9860 0439 1018 1 597 2176 2755 3333 3912 4491 5069 5648 6226 6804 7382 7960 8539 91 10 9694 0272 o85o 1428 2oo5 2467 3t>45 3622 i^ 5354 593 f 65o8 7085 7661 8238 88i5 9391 9968 o544 1121 1697 2273 2525 3l02 368o 4257 4834 54ii 5988 6565 7142 7719 8296 8872 9449 ♦026 0602 1 178 1755 233 1 5862 644 1 7021 76ool765i 81808238 8759 9339 9918 0497 8817 9396 9976 o555 Diff-. 1076 i655 2234 2813 3391 3970 4548 5i27 5705 6284 6862 7440 8018 398596 '9174 9752 o33o 0908 1 485 2o63 2640 3218 3795 4372 4950 5527 2583 3 160 3737 43i5 4892 5469 6046 61 o4 6623 7200 7777 8353 8o3o 9507 oo83 0660 28492907 342513483 6681 7258 7834 1 134 1713 2292 2870 3449 4028 4606 5i85 5763 634a 6920. 7498 8076 8654 9232 9810 o388 0965 1 543 2121 2698 3276 3853 443o 5oo7 5584 6161 6738 73i5 7892 84n 8988 9564 oi4i 0717 1236 1294 1812 1870 2388 2965 354 r 2446 3022 3598 8469 9045 9622 0199 0775 i35i 1928 25o4 3o8o 3656 58 012 34 56789 Diff. &. Mult. I 2 ,n 3 177 4 236 5 295 354 6 7 4i3 8 472 9 53 1 I 58 2 116 3 174 4 332 5 290 6 348 7 406 8 464 9 522 Diff I DiflT. it Mult. ii LOGARITHMS OF NUMBERS. 113 Naui. 7540 4i 42 43 44 45 46 47 48 49 75 5o 5i 52 53 54 55 56 57 58 59 7560 61 62 63 64 65 66 67 68 69 7570 71 72 73 74 75 76 77 78 79 7580 81 82 83 84 85 86 87 88 89 7590 91 92 94 96 9Z 98 99 Num. 12 3 4 5 6 7 8 9 8773713,3771 428914347 4865 4923 5441 5499 6017 6074 6592 7168 7743 665o 7226 7801 831918376 8894 8952 9470 878 0045 0620 1 195 1770 2345 2919 3494 4069 4643 5218 5792 6367 6941 75i5 8089 8663 9237 * 9811 8790385 ^3? 2106 2680 3253 3826 44oo 4973 5546 6119 6692 7265 7838 84ii 8983 « 9556 8800128 0701 1273 i846 2418 2990 3562 4i34 4706 6278 585o 6421 6993 9527 0102 0677 1252 1827 2402 2977 3552 4126 4701 5275 585o 6424 6998 7573 8147 8721 9295 9869 0442 1016 1590 2i63 2737 33ro 3884 4457 5o3o 56o3 6176 6749 -322 7895 8468 9041 9613 0186 0758 i33o 1903 2475 3o47 3619 4191 4763 5335 5907 6478 7o5o 7 564 '762 2 3829 3886 44o5 4462 4980 5o38 5556 56i4 6132I6189 6708 j 6765 7283,7341 78597916 8434J8492 90099067 9585 0160 0735 i3io i885 2460 3o34 3609 4i84 4758 5333 5907 6482 7o56 763o 8204 8778 9352 9926 o5oo 1074 i647 2221 2794 3368 3941 45i4 5o88 566 1 6234 6807 ^38o 952 8525 9098 9670 0243 o8i5 1 388 i960 2532 3 104 3676 4248 4820 5392 5q64 9642 0217 0792 1 367 1942 2517 3092 3667 4241 4816 5390 5965 653 711 7687 8262 8836 9410 ot? ii3i 1705 2278 2852 3425 3998 4572 5i45 5718 6291 6864 7437 8010 8582 9155 9728 o3oo 0873 1445 2017 2589 3162 3734 43o6 4877 5449 6021 6536 6593 7107 7164 7679 7736 3944 4520 5096 5671 6247 6823 7398 7974 8549 9124 9700 0275 o85o 1425 2000 2575 3i49 3724 4299 4873 5448 6022 6596 7171 7745 83i9 8893 9467 ♦o4i o6i5 1 188 1762 2335 2909 3482 4o56 4629 5202 5775 6348 6921 7494 8067 864o 9212 9785 o357 oq3o 02 2074 2647 3219 3791 4363 4935 55o7 6078 665o 7222 7793 4ooi|4o5o 4577U635 5i53 52II 57295787 63o5i6362 688o'6938 7456 75 1 3 6420 6477 8o3i 8607 9182 9757 o332 0907 1482 2o57 2632 3207 3782 4356 4931 55o5 6080 6654 7228 7802 8376 8950 9524 0098 0672 1246 181 239 2966 3540 4ii3 4686 5259 5833 64o6 6979 755i 8124 8697 9270 9842 o4i5 0987 1559 2l32 2704 3276 3848 4420 4992 5564 6i35 8089 8664 9239 9815 0390 oo65 1 540 21l5 2690 3264 3839 44i4 4988 5563 6i37 671 1 7286 7860 8434 9CKJ8 9582 01 56 0729 i3o3 1877 245o 3o24 3597 4170 4744 53i7 5890 6463 7o36 7609 8181 8754 9327 9899 0472 1044 1617 2189 2761 3333 3905 4477 5o49 5621 6193 4ii7l4i74i4232 4693'475o|48o8 5268 5844 5326 5902 67076764 7279j7336 78507907 6995 7S71 8i46 8722 9297 9872 0447 1022 1597 2172 2747 3322 3896 4471 5o46 5620 6194 6769 7343 79»7 8491 9065 9639 02l3 0787 i36o 1934 25o8 3o8i 3654 4228 4801 5374 5947 6520 7093 7666 8239 8811 9384 9957 0529 1102 1674 2246 2818 3390 3962 4534 5io6 5678 625o 6821 7393 7964 7053 7628 8204 8779 5384 5 m 7110 7686 8261 8837 93549412 99 3o o5o5 1080 i655 223o 2805 3379 3 " 5440 4529 5io3 5678 6252 6826 7400 7975 8549 9123 9696 0270 0844 i4i8 2565 3i38 3712 4285 4858 543 1 6004 6577 7i5o 7723 8296 8869 9441 ♦oi4 o586 1 159 1731 23o3 2875 3448 4020 4592 5i63 5735 63o7 6879 745o 8022 9987 0562 ii37 1712 2287 2862 3437 II 4586 5i6i Diff. Diff. &. Mult. 5735 63o9 6884 7458 8o32 8606 9180 9754 o328 0901 t475 2049 2622 3196 3769 4342 4916 5489 6062 6635 7208 7781 8353 8926 9499 0071 0644 1216 1788 236 1 333 )o5 4077 4649 5221 5792 6364 6936 7507 8079 I 58 2 116 3 174 4 232 5 290 6 348 7 4o6 8 464 9 522 I 2 3 4 5 6 7 8 9 5 6 7 8 9 Diff. ■V 57 ii4 171 228 285 342 5i3 > 471 5 5277 5838 64<.x>645665i2 6454|65i I 701717073 7579! 7635 8142 8704 8198 8760 9828 0390 0952 i5i4 2076 2638 3199 656766236679 712971857342 769217748 8254i83io 8816:8872 7804 8366 8929 9378 9435 9491 9884 9941 19997 1 ♦o53 04461 o5(»3o5d9'o6i 5 1008 1064' 1 1 21 1 1 177 1570 1626 i683ji739 ai33 2188 369412750 335533r3 3244h>3oi 280612862 3368,3494 3761 3817387339393986 4322 43794435 4491 [4547 7522 7578 8o838i39 86448700 9205I9261 976619822 o326 0887 1 448 2008 2569 o382 0943 i5o4 2064 2625 7634 8195 8756 9317 9878 0439 i56o 2120 2681 3129 3 1 85 3241 368937453801 425o 43o6 4362 4810486614922 537015426 5482 59305986 6490 6546 7o5o 7610 8169 7106 7666 8225 i 4884 5445 6007 6568 7129 7690 825i 8813 9373 9934 0495 io55 1616 2176 2737 3397 3858 44i8 4978 5d38 6042 6602 7162 7722 8281 8673 8739 8785 884 1 9389]9345'94oi 9848;99o4!996o o4f)8 0464 ('5 20 9233 9793 p352 0911 i47iN526 1 582 2o3o 20862142 a58o2645 096710231079 113511911247 3i48 3707 3204 2701 3260 3763,38193875 4210 4266 4323I4378 4769 4825!488i;4937 5338:5384 5440 5496 5887159435998,6054 6445,65oi 65576613 70o4[7o6o 7563i76i8 71167172 76747730 8121 81778333,8389 867018735,8791 J8847 9338 9294 93499405 1 638 3198 3757 33i6 4434 4993 555i 6110 6669 7227 7786 8344 8903 9461 4940 5o53 5 1 08 815614 5670 6o63 6i 19 61756331 6624,6680,6736 6792 7185.7241 7297I7353 7746780278587915 83o7 8363,84i9'8476 8868 |8934'898o' 9037 9429 9485 9541 19597 9990 ♦046 0102 01 58 o55i nil 1672 2232 2793 3353 3914 4474 5()34 5594, 0607 1167 1728 3288 2849 3409 06630719 1223 1279 1784 1840 2345 3401 2905 2961 3465|352i 3970140364082 453o|4586:4642 50901 5 1461 5202 565o 5706 5762 6i54|62io 66^8 67 1 4 6770 7218727417330 777878347890 8337 8393;8449 8897 89549009 94579513,9560 ♦016:0073 0128 057606320687 62666322 68366882 1694 2253 28i3 3372 3931 4490 5o49 5607 6166 6725 7283 7842 84oo 8959 9517 i75o 1806 3 309 2365 386913934 3438 3484 39874043 45464601 5io4 5i6o 5719 5663 6232 6781 7339 78q8 8456 9014 9573 6278 6836 7395 7953 85i3 9070 7386 7946 85o5 9065 9634 0184 0743 i3o3 1863 2421 3980 3539 4098 4657 5216 5775 6334 6893 745 1 8000 856^ 9136 9629 9684 7442 8002 856i 9121 9680 0340 0709 1359 1918 3477 3o36 3595 4i54 47i3 5272 583 1 6389 6948 7507 8o65 8624 9182 9740 ffwn* 01234 56789 Di.T. DiiT. &. Mulu 56 DifT. Diir. k. Mult. LOGARITHMS OF NUMBERS. 117 Num. 1 234 56789 9963*019 I 00750131,018702430298 0522:0577 o633 0689 0745 0801 |o856 * 97969852,9908 891 o354o4ioo466 0912 0968 1470! 1526 2028,2084 2586 2642 3i4432oo 3702 3758 42594315 48174873 5375 543o 59325988 6489 6545 1024 1080 1 582 i638 2i4o 2196 2754 33ii 3869 4427 4984 7047 7604 7102 7660 8161 8217 8718 9275 * 9832 892 0389 0946 i5o3 2059 2616 3173 8774 9331 5486 6044 6601 7i58 77i5 ii35 i6o4 2251 2809 3367 3925 4482 5o4o 8273 883o 9387 ,9944 0445 o5oi 1002 i558 2Il5 2672 3228 3785 4341 4897 5454 6010 1057 i6i4 2171 2727 3284 384o 4397 4953 55o9 6o65 5542 6099 6657 7214 7771 8328 8885 9442 9999 o556 iii3 1670 2226 2783 3340 65io 7066 7622 8178 8734 « 9846 893 o4oi 0957 l5l2 2068 2623 3178 3733 4288 4843 5398 5953 65o8 7063 7618 8172 .8727 9281 # 9836 894 0390 0944 14 2o53 2607 8384 8941 9498 ♦ODD 0612 3896 445 5009 5565 6121 9345 9901 0457 1012 1 568 9401 9957 o5i2 1068 1623 2123 2678 3234 3789 4344 4899 5454 6009 6564 7118 7673 8338 8783 9337 9891 0445 1000 i554 3108 2662 3952 45o8 5o64 5621 6177 6733 7289 7845 84oi 8956 9457 ♦012 o568 1123 1679 2179 22-^4 2290 2734 3289 3844 4399 4954 5509 6064 6619 7174 7729 8383 8838 9392 9947 o5oi io55 1609 3i63 2717 2789 3345 3900 4455 5oio 5565 6120 6675 7229 7784 8339 8893 9448 ♦002 o556 iiii 1 665 2210 277 5o65 5620 6175 6730 7285 1191 1749 1247 i8o5 2307 2363 2865 3423 3981 4538 5096 5653 i3o3i359i4i5 2921 3479 4o36 4594 5if 1861 2419 1917 2475 2977 3o32 35343590 4092 4 1 48 465o 4706 5207 5263 570957655821 6211626663326378 6768 6834 6880 6935 3' 2828 7325 7883 844o 8997 9554 01 1 1 0668 1224 1781 2338 2894 345 1 4007 4564 5l20 5676 6232 6788 7344 7900 8456 9012 7381 7938 8495 9053 96:0 0166 0723 1280 i837 23o3 29D0 35o6 4o63 4619 5176 5732 6288 6844 7400 7956 8513 9068 7437 7994 855 1 9108 9665 0222 0779 i336 1892 2449 3oo6 3562 4119 4675 523i 5787 6344 6900 7456 8011 8567 9123 8o5o 8607 9164 9721 0278 o835 1391 1048 25o5 3o6i 36i8 3o88 3646 4204 4761 5319 5876 6434 6991 7548 8io5 8663 9220 9777 o334 0890 1 447 2004 356o 3x17 3673 4174 4731 5287 5843 6399 6955 7D11 8067 8623 9179 9568 9623 9679 - 9734 612361796234I0290 0734 0790 0846 1290 i345li4oi 1845 1901 1956 0679 1234 1790 2345 2900 3456 4oii 4566 5l2T 5676 6231 6786 7340 7895 845o 9004 2401 2956 35ii 4o66 4621 5176 5731 6286 684 1 7396 7950 85o5 9059' 0790 1 345 1901 2456 3oi2 3567 4l22 4677 5232 5787 6342 6897 745 25l2 3067 3622 4177 4732 5287 5842 6397 6952 7507 423o 4786 5342 7011 7567 8123 8678 9234 9Z99 o346 0901 1457 2012 2567 3i23 3678 4233 4788 5343 5898 6453 7007 7562 95589614 oii3oi68 80068061 8117 856o 8616 8671 9115,9170,9226 966997259780 022402790335 0667 1221 1 776! 1 83 1 233o 2385 28842939 0723 0778 o833 0880 1277 1 332! 1 388 1443 1886: 1942' 1997 2440' 24962551 2994 3o5o 3io5 Diir. Oiff. & Mult Nam. 01234 56789 I 55 2 no 3 i65 4 220 5 275 6 33o 7 385 8 440 9 495 Diff. Diff. k. Mult. 118 LOGAEITHMS OF NUMBERS. Nnm. 1840 4i 4a 43 ilii 45 43 4? 49 78 5o 5a 53 54 55 56 A*' 57 58 59 7860 63 63 64 65 66 67 6B 69 7870 71 72 73 74 75 76 77 78 79 7880 81 8a 83 84 85 86 87 88 89 7890 91 9a 93 94 95 96 97 98 99 1 3 4 5 6 7 8 9 894 3j6i 3715 4a68 4324 32i6|327i 37703825 482a 5376 5929 6483 7037 7590 8143 4878 543 1 4379 4933 5487 5985|6o4o 65386594 8697 9230 • 9803 895 ci356 0909 1462 aoj5 a568 3 1 20 3673 4225 4778 533o 5883 6435 73J 809 8644 9195 ♦ 9747 896 0299 o85i i4o3 1954 25«6 3o57 36o8 4160 4711 5a62 58i3 6364 6915 7466 39 7595 7092 7645 8199 8752 93()5 9858 o4ii 0964 i5i7 2070 2623 3176 3718 4281 4833 5386 5938 6490 7147 7701 8254 8807 9914 0467 1020 1572 2125 2678 323 1 3783 4336 4888 5441 6545 3327 388i 4435 4988 5542 6096 6649I 7203 7756 83o9 8863 93609416 9969 0522 1075 1628 2l8l 2733 3286 7042 7595 8147 9803 o354 0^06 1 458 2009 2 56 1 3lI2 3664 421 5 4766 4391 4944 5496 6048 6601 3382 3936 4490 5o44 5597 6i5i 6704 7258 7811 8365 8918 9471 #024 o577 ii3o i683 2236 2789 334 1 38393894 70987153 7650 77o5 8202 8257 8754 8809 93069361 98589913 o4o9| 0961 8017 8568 91 18 • 9669 897 oaao 0770 l320 1871 2421 2971 352 r 4071 4621 5171 5721 5317537a 5868 5923 64196475 o465 1016 i5i3ii568 ao64 2616 3167 3719 4270 4821 2120 2671 3222 3774 4325 4876 5428 5979 4446 im 6104 6656 7208 7760 83ia 8864 9416 9968 oSao 1072 i6a3 2175 3726 3278 3829 4380 4931 5483 6o34 6970 75a I 807 a 86a3 70a 5 7576 8ia7 8678 9173,9229 9724 0275 0825 1375 1926 2476 3oa6 3576 4ia6 4676 5aa6 5776 653o6585 7081 763 1 7i36 7686 9779 o33o 0880 i43i 1981 253i 3o8i 363i 4i8i 473 1 5a8i 583i 81828237 8733 8788 9284 9339 9834 9889 o385 o44o 09350990 i486i54i 2o36 2091 2586 2641 3i363i9i 3686 3741 4236 4291 47864841 5336 5391 5886 5941 3438 JvrJJ 6206 6760 73i3 7867 8420 8073 9626 0079 q632 ii85 1738 2291 2844 3397 3949 3493 3548 4o47 4io2 4601 4656 5i5452io 36o4,'3659 4 1 58 42 1 3 47114767 5a65 5320 5708 5763 58i9'5874 62626317 68156870 7369 7424 79227977 84758531 9028 9084 9582 9637 oi35 0190 06880743 i24ijia96 17941849 23462402 28992054 52 35o7 34 J 4oo4|4o6o 45oa4557|46ia 5o54 5"J9 5i65 5607 566a|57i7 615962146269 6372;6428 69266981 7479'7535 8o33 8088 8586i864i 9139 9194 969^19748 0245 o3o I 0798 i35i o854 1407 1 904! 1 959 2457 25i 2 3oio 3o65 6711 7263 7815 8368 8919 9471 ♦023 0575 1127 1678 2a3o 2781 3333 3884 4435 4987 5538 6089 6766682a 73197374 787117926 84238478 8975J9030 95279582 00780134 o63o'o685 Il82[l237 1733,1789 aa85 234o 283712892 3388|3443 3939 3994 3562 4ii5 4667 5220 5772 6325 36i8 4170 4723 5275 5828 638o 68776932 74297484 7981 8o36 8533.8588 90859140 9637969a 01890244 0741 0796 1292 1 347 4491 5o42 4546 5097 5593 5648 6f44|6i99 664o 6695 6750 7191 774a 8292 8843 9394 9944 0495 1045 1596 2146 2696 3246 3796 4346 4896 5446 5996 7246 7797 8347 8898 73oi 7852 84o3 8953 1844 3395 2947 3498 4o5o 4601 5i52 5703 6254 68o5 7356 7907 8458 9008 1899 a45o 3ooa 3553 4io5 4656 5207 5758 63o9 6860 74ii 796a 85f3 9063 9449950495599614 9999 ♦o54 0109 01 65 o556 iioo i65i 2201 275 1 33oi 385 1 44oi 401 55oi 6o5i o6o5o66o II 55 1706 2256 2806 3356 3906 4456 5oo6, 1210 1761 23ll 2861 3411 3961 45ii 5o6i 55561 56i I 61066161 0715 1265 1816 2366 2916 3466 4oi6 4566 5ii6 5666 6216 01234 56789 DiflT. DiflT. Jt Malt I 56 a iia 3 168 4 324 5 280 6 336 7 392 8 448 9 5o4 55 DiflT. I a 3 4 5 6 7 8 55 no i65 220 275 33o 385 440 495 DiflT. k. Mult. LOGARITHMS OF NUMBERS. 119 1 Num. 7900 01234 56789 Diff. DiiT. & Mult. 897 6271 63266381 6436 6491 6546 6601 66566711 6766 01 6821 68766931 74257480 6986 7535 7040 7095 7i5o 7205 7260 73i5 02 7370 7590 7645 7700 7755 7810 7865 o3 7920 7975 8o3o 8524 8579 8o85 8i4o 8195 825o 83o4 8359 84i4 04 8469 8634 8689 8744 8799 8854 8909 8964 o5 9019 90749129 9623 9678 9184 9238 9293 9348 94o3 9458 951 3 06 # 9568 9733 9788 9843 9898 9953 ♦008 0062 07 898 01 17 0172 0227 0282 o337 0392 0447 o5o2 o557 0612 08 0667 0722 0776 o83i 0886 0941 ?§^ io5i 1106 1 161 09 1216 1271 i326 i38o 1435 1490 1600 i655 1710 7910 1765 1820 1875 1930 1984 2039 2094 2149 22o4 ^1^2 I 55 II 33i4 2369 2424 2479 2533 2588 2643 2698 2753 2808 2 no 12 3863 2918 2973 3521 3027 3082 3i37 3192 3247 33o2 3357 3 i65 i3 34i3 3467 3576 363 1 3686 3741 3796 385! 3906 4 320 i4 3960 401 5 4070 4125 4180 4235 4290 4345 4399 4454 5 375 i5 4509 4564 4619 5i68 4674 4729 4784 4838 4893 4948 5oo3 6 33o 385 440 495 16 5o58 5ii3 5322 5277 5332 5387 5442 5497 5552 7 8 17 56o6 566i 5716 577 » 5826 588 1 5936 5990 6045 6100 18 6i55 6210 6265 6320 6374 6420 6484 6539 7087 6594 7142 6649 9 19 6703 6758 68i3 6868 6923 6978 7o32 7197 7920 735a 7307 736i 74i6 7471 7526 758i 7636 7690 7745 31 7800 7855 7910 7965 8019 8074 8129 8184 8239 8294 33 8348 84o3 8458 85i3 8568 8622 8677 8732 8787 8842 33 8897 8951 9006 9061 9116 9I7I 9225 9280 9335 9938 34 9445 9499 9554 9609 9664 9719 9774 9828 9883 35 « 9993 8990541 ♦o48 0102 01 57 0212 0267 o32i 0376 043 1 o486 36 0595 o65o 0705 0760 081 5 0869 0924 0079 1527 ro34 27 1089 1143 1198 1253 i3o8 1 363 l4i7 1472 1 582 38 i636 1691 1746 1801 1 856 1910 1965 2020 2075 2129 39 3i84 2239 2294 3348 24o3 2458 25i3 2568 2622 2677 7930 3732 2787 2841 2896 2951 3oo6 3o6o 3ii5 3170 3225 3i 3379 3334 3389 3444 3499 3553 36o8 3663 3718 3772 33 3827 3882 3937 3991 4o46 4ioi 41 56 4210 4265 4320 33 4375 4429 4484 4539 4594 4648 47o3 4758 4812 4867 ■ 34 4922 4977 5o3i 5o86 5i4i 5196 525o 53o5 536o 541 5 35 5469 5524 5579 5634 5688 5743 5798 5852 5907 5962 36 6017 6071 6126 6181 6235 6290 6345 6400 6454 65o9 37 6564 6619 6673 6728 6783 6837 6892 69 ^^7 7002 7o56 38 7111 7166 7220 7275 733o 7384 7439 7494 7549 7603 39 7658 77i3 7767 7822 7877 7932 7986 8o4i 8096 8i5o 7940 8205 8260 83i4 8369 8424 8479 8533 8588 8643 8697 4i 8752 8807 8861 8916 8971 9025 9080 9i35 9189 9244 54 108 163 216 43 9299 9354 9408 9463 9518 9572 9627 9682 9736 9791 o338 I 43 ♦ 9846 9900 9955 ♦010 0064 0119 0174 0228 0283 2 3 4 44 9000392 0447 o5o2 o556 0611 0666 0720 0775 o83o 0884 45 0939 0994 io48 iio3 n58 1212 1267 l322 1376 i43i 5 270 46 i486 i54o 1595 i65o 1704 1759 1814 1868 1923 1977 6 324 47 2o32 2087 2t4i 2196 225l 23o5 236o 24i5 2469 2524 7 378 48 2579 2633 2688 2743 2797 2852 2906 2961 3oi6 3070 8 433 49 7950 3i25 3671 3i8o 3726 3234 3781 3289 3835 3344 3890 3398 3944 3453 3999 3507 4o54 3562 4io8 36i7 4i63 9 486 5i 4218 4272 4327 438 1 4436 4491 4545 4600 4654 4709 5a 4764 48i8 4873 4928 4982 5o37 5091 5i46 520I 5255 53 53 10 5364 5419 5965 5474 5528 5583 5637 5692 5747 58oi 54 5856 5910 6020 6074 6129 6i83 6238 6293 6347 55 64o2 6456 65ri 6566 6620 6675 6729 6784 6839 6893 56 6948 7002 7057 7112 7166 7221 7275 733o 7384 17439 57 7494i7548 7603 7657 7712 7766 7821 7876 7930 7985 853o 58 8039 8094 8i48 8203 8258 83i2 83678421 8476 59 85858640I8694 8749 88o3 8858 8912 '896719022 9076 Num. 01234 56789 Diff. DiC & MulL . 1 ■> , Ui 120 LOGARITHMSOFNtTMBERS. 1 Iffain. 61 01234 56789 Diflr. Diff. k, Mult. 0OO9i3i[9i85, • 96769731 9240 9785 9294 9840 9349 9894 940394589513 9949 ♦oo4 oo58 9567 0!l3 9622 0167 63 901 oaaa 0276 o33t o385 o44o 0494 0549 0604 o658 0713 m 0767 0822 0876 0931 0985 i53i io4o 1094 ii49 I203 1258 64 i3i3 i367 143 a 1476 i585 i64o 1694 1749 i8o3 65 i858 1912 1067 25 1 2 2021 2076 ai3o 2i85 2239 2785 2294 a839 2349 66 34o3 2458 2567 2621 2676 2730 2804 3439 67 29^8 3oo3 3o57 3lI2 3 166 3a at 3275 333o 3384 68 3493, 354« 36o2 3657 371 1 3766 38ao 3875 3929 3984 4529 '69 4o38 4093 4i47 4202 4a56 43ii 4365 4420 4474 7970 4583 4638 4692 4747 4801 4856 4910 4q65 5019 5o74 I 55 71 5128 5i83 5237 5292 5836 5346 5401 5455 55t>9 5564 56i8 2 1 10 7a 5673 5727 5782 5891 6436 5945 6000 6f)54 6109 6i63 3 1 65 73 6ai8 6272 6327 638 1 6490 7o35 6544 6599 6^)53 6708 4 220 74 676a 6817 6871 6926 6980 7089 7144 7198 7252 5 275 1 fl 75 7307 736i 74i6 7470 7525 7579 7634 7688 7743 7797 6 33o ^85 76 785 1 7906 7960 80 1 5 8069 8124 8178 8233 8287 834 1 7 K 440 495 77 8396 845o 85o5 8559 86 1 4 8668 8723 8777 883 1 8886 78 8940 9485 8oo5 9049 9594 9104 9648 9i58 9702 9212 9757 9267 9811 9321 9866 9376 9920 9430 9974 9 79 9539 7980 902 0029 0573 oo83 oi38 0102 0736 oa47 o3oi o355 o4io o464 oSio io63 81 0628 0682 0701 1 335 0845 0900 0954 1008 8a 1 1 17 1 1 72 1226 1280 1389 1 444 1498 1 552 1607 83 1661 1716 1770 1824 187Q 2423 1933 1988 2042 2096 2l5l if 84 aao5 2260 23i4 2368 2477 2532 2586 2640 2695 85 2749 2804 2858 391a 2967 35ii 3o2I 3076 3i3o 3i84 3239 86 3293 3347 3402 3456 3565 3619 4i63 3674 3728 3782 87 3837 3891 4435 3946 4fx>o 4o54 4109 4217 4272 4326 88 438i 4480 5o33 4544 4598 465a 4707 4761 48i5 4870 89 4924 4979 5087 5i42 5196 525o 53o5 5359 54i3 7990 5468 5522 5577 563 1 5685 5740 5794 5848 5903 6?^^ 91 601 1 6066 6120 6174 6229 6283 6337 6392 6935 6446 9a 6555 6609 6663 6718 6772 6826 6881 n 7044 93 7098 7i52 7207 7261 73i5 7370 7424 7478 7587 94 7641 7696 775o 7804 7859 7913 7967 8022 8076 8i3o 95 8i85 8a39 8293 8836 8348 84o2 8456 85n 8565 8619 8674 96 87a8 878a 8891 9434 8945 8099 9054 9108 9162 9217 ■9Z 9271 9325 9380 9488 9542 9597 9651 9705 9760 98 » 9814 9868 9923 9977 0520 ♦o3i oo85 oi4o 0194 0737 0248 o3o3 99 903 o357 o4ii o466 o574 0628 o683 0791 0846 8000 0900 0954 1008 io63 1117 1171 1226 ia8o 1 334 1 368 01 1443 1497 1 55 1 1606 1660 1714 1768 1823 1877 1931 ■ f s oa io85 2o4o 2f>94 2148 2203 2257 23l I 2365 2420 2474 I 34 o3 2528 2582 2637 2691 3234 2745 2799 2854 2908 2962 3oi7 a 108 o4 3071 3i25 3179 3a88 3342 3396 345 1 35o5 3559 3 4 5 162 tfi o5 36i3 3668 3722 3776 383o 3885 3939 3993 4536 4o47 4l02 270 06 4i56 4210 4264 4319 4373 4427 4481 45qo 4644 6 324 07 4698 4753 4807 4861 4915 4969 5o24 5078 5i32 5i86 7 378 08 5a4i 5295 5837 6379 5349 54o3 5458 55i2 5566 5620 5674 5729 8 432 09 8010 5783 6325 5891 6434 5946 6488 6000 6542 6o54 65o6 6108 665o 6i63 6705 6217 6759 6271 68i3 9 486 II 6867 692a 6976 7o3o 7084 7i38 7193 76807735 7247 73oi 7355 la 7409 7464 7518 7572 7626 7789 7843 7807 8439 i3 7951 8006 8060 8114 8168 822218277 833 1 8385 i4 8493 8548 8602 8656 8710 87648819 8873 8927 8981 i5 90359089 "^l^ 9198 9252 9306,9360 941 5 9469 9523 16 • 95779631 9685 9740 9794 98489902 9956 ♦010 oo65 17 904 01 19 0173 0227 oa8i o336 o3ooo444 0931I0085 1473 1527 0498 o552 0606 18 19 Nirai* 0661 0715 1202 1256 0769 i3io 0823 1 365 0877 1419 io4o i58r 1094 i635 ii48 1690 01234 5 676 9 Oiff. Difi*. & Mult. LOGARITHMS OF NUMBERS. Num. 01234 56789 904i744|i798 2285 2339 2827 3368 2881 3422 39093963 445o45o5 4992 5o46 5533,5587 60746128 6615^6669 71557210 76967750 82378291 87788832 93189372 4559 5ioo 564i 6182 6723 # 9859 905 0399 0940 1 480 2020 1906 1960 2448 2502 2989 3o43 353o 3584 4072 4126 46134667 5 1 54 5208 56o5;5749 6236*6290 6777 683 1 256o 2615 3ioij3i55 364 1 3695 4235 4181 4721 5260 58oo 634o 6880 7419 7959 8498 9o38 * 9577 9060116 o655 1195 17^4 2273 2812 335o 3889 4428 4967 55o5 6o44 6582 7121 7659 8197 8735 9273 « 9812 9070350 0887 i4'>5 1963 aSoi 3o38 3576 4775 0170 0700 1248 1788 2327 2865 34o4 3943 4482 5o2o 5559 6098 6636 7174 771 3 8251 8789 9327 9865 o4o3 0941 1479 2017 2555 3092 363o 8843 9381 9919 0457 0995 6205 6744 7282 7820 8359 22c 1 587 aia4 4662 3200 3737 4721 5262 58o3 6344 J4|4288 47754829 53 1 6 5370 5911 6452 5857 6398 688569396993 0129 96439697 oi83o237 4883 5424 5965 65o6 7047 74267480753417588 79678021 8o75'8i29 85o7 856i 86158670 90489102 91 56 9210 9589 9643 1 9697 9751 06690724 1264 i8o4 2344 553o 6070 6610 7149 7689 8229 8768 9307 9847 o386 0925 1 464 2oo3 2542 3o8i 3620 4i59 4697 5236 5774 63i3 685i 7390 7928 8466 8520 5o45 50995153 5584 ^124 6664 72o3 7743 0778 i3i8 1 858 2398 2939 3479 4019 4559 0291 o832 1372 1912 2452 l^^ 4073 461 3 8282 8822 9361 9901 o44o ???? 2o57 2596 3i35 3674 4212 4751 5390 5828 6367 6905 7444 7982 9004 9543 0081 0618 ii56 i6o4 2232 2770 33o7 3845 8336 8876 941 5 9954 0494 io33 1572 2111 265o 3189 3728 4266 48o5 5344 5882 6421 6959 7497 8o36 8574 9o58 91 1 2 9596 9650 01 34 0672 1210 1748 2286 2823 336i 3899 7642 8i83 8724 9264 9805 o345 0886 1426 1966 25o6 3o47 3587 4127 4667 5207 5746 6286 6826 7365 7905 0188 0726 1264 1802 2340 2877 34i5 3952 8390 8930 9469 ♦008 o548 1087 1626 2i65 2704 3243 3781 4320 4859 5397 5936 6474 701 3 755i 8090 8628 9166 9704 0242 0780 i3i8 i856 2393 2931 3469 4oo6 3835 4374 4913 545 1 5990 6528 7067 7605 8143 8682 121 DifiT. Diff. Sl MuIu Num. 01234 56789 I 54 a 108 3 162 4 216 5 270 6 324 7 378 8 432 9 486 54 Diff*. ? I 53 a 106 3 159 4 aia 5 a65 6 3i8 7 371 8 424 9 477 DiiT. ic H«h. ■TIPIIP 12*2 LOGARITHMS OF NUMBEES. Mwn. 1234 56 789 8i 8a 83 84 85 86 87 88 89 8090 91 92 93 94 9S 96 97 98 99 8100 01 09 €>S o5 '06 07' 09 8i 10 II la i3 i4 1 5 16 17 18 19 81 ao ai 33 a3 a4' a5 a6 27 98 39 81 3o 3i 3a 34 35 37 39 ifiiiii* 9074ii4 4631 5i88 57a6 6a63 6800 7337 7874 84ii 8948 4167 47o5 524a 5780 63i7 6854 739 7928 8465 9002 42311 475914812 529 5833i5887 637064246478 535o54o3 69086961 7445 70i5 7498 755a 79828036,8080 8S19 8573 8626 905691099163 9485 953d9593;9646|97oo — 012901830237 2169 2705 3241 3778 43i4 066607200773 12o3 1 686! 1 739 aaaa 3759 329^ 383 4368 48 504904 5386 5922 6458 6994 5440 5976 65i2 7048 7530 7584 8066 8602 9137 • 9673 9090209 0744 1279 i8i§ 235o 2885 34^0 3812 3349 1256 1793 i3io 1847 2276 a329 2383 3866 34oa 388$1 3939 3992 4421 4475 4S28 4957 54o4 60J0 6566 7102 81 ao 8655 9191 9727 7637 8173 8709 9245 0262 0798 1 333 1868 24o4 2939 3474 3955 4009 4062 449? 4544 5071 5o25 6095 663o 7165 7699 8a34 8768 93o3 • 9837 9100371 5oii 5547 6o83 6619 7i55 o3i6 o85i i386 1922 2457 3?r7 7691 8327 876a 9206 9780! 9854 2920 3456 5o65 56oi 6i37 6673 7209 7745 8a8o 8816 9352 9887 o369o4a3 4597 5i32 56145667 614^6202 66836737 7218 0905 i44o 1975 a5ii 3o46 358 1 4ii6 465i 5i86 5721 6a56 7753 7271 7806 0958 1494 3029 3564 3634 4169 4704 5a39 5774 63o9 67906844 8a87 834i 8822 8875 93569409 989o'9944 o4a5.o478 0905*0959 loi 2 7325 7860 8394 7378 791 3 8447 i44o 1974 a5o8 3o42 89298963 9463 9516 ♦o5i o585 i493.i546| 2027 2081 2561I2615 3095,31 48 1066 1600 1119 i653 21343187 26682721 3202 3255 3576;3629'3687|3736 3789 41094163421642704323 46434697l475o'48o3,4857 5i77|523o;5284.5337 5390 571015764 58i7'587r5934 4382 4930 5457 ^??^ 6532 4436 4074 55fi 6o48 6585 4490 5027 5565 6jo2 66396693 7606 8143 8680 9217 9754 0290 0827 i364 1900 2437 3973 35io 4o46 4582 5n8 5654 6190 6726 7262 7ia3 7660 8107 8734 9370 7q8 '334 94o5 9941 1012 1 547 3082 a6i8 3i53 3688 4223 4758 5a93 58a8 6363 4544 5o8i 56i8 6i56 717672307284 77i3 8787 9324 98079861 o344 0681 i4i7 1954 2490 3o27 3563 409? 4636 5172 5708 6244 6780 73 16 7852 7767 825o83o4 0398 0934 1471 2006 2544 3o8o 3617 41 53 4689 5225 5762 6296 6834 884i 9378 99'5 o45i 0988 77' 8 88708923 8387844 94599' 9994 o53o io65 1601 2i36 2671 3ao6 3741 4276 48ii 5346 7369 7433|7477 8012 8548 9084 45 7798 7852 83298382 88608913 9391 9444 99229975 0452 o5o5 0983 io36 i3i3 i566 2o44 2097 2574 2627 3io4 3i57 3634 3687 5249 53o3 5781 5834 63x2 6365 6843 6896 7374 7427 7905 7958 84368489 89669019 9497 9550 ♦028 0081 o558o6ii 1089 1 142 1619 1672 2x5o 22o3 2680 2733 32 10 3263 3740 3793 4x65 4218 42-Ji 4324 4695 4748 4801 4854 5225i5278i533x 5384 4719 525x 5784 63x6 6848 738 X 79' 3 8445 8077 9509 ♦04 1 0572 iio4 1 636 2167 2( 32! 3762 4293 4824 5356 5887 64i8 6949 7480 5755'58o8 586x 6284,63376390 6814,68676920 7344I7397 745o 7874792717980 80x1 8542 9072 9603 01 34 0664 1 195 1725 2256 2786 33x6 3846 4377 4907 5437 5967 6496 7026 59x4 6443 6973 75o3 7556 8o33l8o86 01234 56789 Diff. Sc Mult. I 53 2 106 3 159 4 212 5 265 6 3i8 7 371 8 424 9 477 53 Diff. . »: I 5a 2 104 3 1 56 4 208 5 260 6 3X2 7 364 8 4x6 9 468 Diff. «t Mult. i t r '^ i n i j i 124 8200 oi oa o3 o4 o5 o6 07 oa 09 8a 10 11 13 i3 i4 i5 16 17 18 19 8a ao 31 33 33 34 36 39 8a 3o 3i 33 33 34 35 36 37 38 39 83 4o 4i 43 43 ■f""f 45 43 48 49 8a 5o 5i 5a 3%!' :54 55 56 57 58 59 Nam. LOGARITHMS OF NUMBERS. if«n. 12 3 4 913 8 1 39 8 1 9 1 8244 8297 835o 866a 8721 8774 8827 88»o 9198 9a5i '9304 9356:9409 • 97279780983398869930 914 0257,0309 o362o4i5|o468 0786 i3i5 1844 a373 3903 3432 3961 4489 0839 0892 i36« 1897 2426 1421 1950 2479 2955^3008 3484*3537 4oi3 4542 5oi8 5071 5547 56oo 607616129 66o4j6657 71337186 0998 1327 2o56 2585 3ii4 3643 4172 4595l4648!47oi 5ia4 5i77i523o 0945 1 474 2oo3 2532 3o6i 3590 4066J4119 7661 8190 8718 9246 • 9775 91 5 o3o3 o83i 1359 1887 241 5 3943 347 > 7714 8243 8771 o356 0884 1940 2468 3 3 45a6 5o54 558i 6109 6636 7! 63 7691 8218 8745 9272 * 9799 9160326 08 53 i38o 1907 3433 3960 3487 4oi3 4539 5o66 5592 61 18 6645 7171 8333 8749 9375 5653 6181 6710 7239 7767 8295 8824 9352 9880 0409 0937 i465 1993 2321 3o48 3576 4io4 4632 5i59 5687 6214 6742 7269 7796 8323 885o 9378 99t)5 o43i 09060958 4o5i 4579 5io6 5634 6161 6689 7216 7743 8271 8798 9325 9852 o379 1433 1959 3486 3oi3 3539 4066 5706.5758 62346287 67636816 7291 7820 8348 1 485 2012 •?539 3o65 3592 4ii8 4592 4645 4697 8877 94o5 9933 0461 0989 l5l7 2045 2573 3io 3629 4i57 4684 5212 5739 6267 6794 7322 7849 8376 8903 9430 9957 o484 ion 1 538 2o65 3591 3ii8 3644 4171 5119 5645 6171 6697 7223 7749 8275 8801 9327 5171 5697 6224 6750 7276 7802 8328 8854 5224 5750 6276 68q2 7344 7873 84oi 8930 9458 9986 o5r4 io4a 1570 2098 2626 3i54 3682 4209 4737 5265 5792 6320 6847 7374 7902 84ao 8956 9483 ♦010 o537 1064 1 591 2117 2644 3171 3697 4224 475o 5276 58o3 63? 9 6855 56789 7329 7855 838i 8907 9380 9433 7381 7907 8433 8959 9485 84o3 8456 8509 8562 861 5 8933 8086 9039 9092 9145 9462I9515 9568 9621 9674 9992 ^045 0098 |oi5i 0204 o52 1 I0574I0627 0680 0733 iio3 1 1 56 1209 1262 1633! 1686 173811791 io5o i58o 2109 2638 3167 3696 4225 ai6a 2691 3220 3749 4278 22l5|3268J232I 2744' 2797 285o 3273 3326:3379 4754 4807 5283 5335 58ii 5864 634o 6393 68696921 7397 7926 8454 8982 951 1 ♦o39 0567 1095 1623 2l5l 2679 3207 3734 4262 4790 53i7 5845 6372 745o 7978 85o7 9035 9563 0092 0620 ii48 1676 2204 2732 3260 3787 43i5 4843 5370 5898 6425 69006952 7427 7954 848 f 9009 9536 oo63 0590 in6 1643 2170 2697 3223 3750 4276 48o3 5329 5855 6382 6908 743417486 796o'8oi2 8486 8538 901 2 9064 9538 9590 7480 8007 8534 9061 9588 oii5 0642 1696 2223 2749 3376 38o2 4339 38o2 433 1 4860 5388 5917 6446 6974 75o3 8o3i 856o 9088 9616 01 44 0673 laoi 1729 2357 2784 33i2 384o 4368 4895 5423 5950 6478 7005 7532 8060 8587 9114 9641 0168 0695 1222 1749 2275 2802 3329 3855 4382 3855'39o8 43S4|4437 49124965 5441 5970 64996551 7037 7556 80848137 b6i3 8665 4855 5382 5908 6434 6960 5494 6023 7080 7609 DifT. 9141 9669 0197 0725 1253 1781 2309 2837 3365 3893 44»o 4948 5476 6oo3 653i 7o58 7585 8112 864o 9167 9194 9722 o25o 0778 i3o6 1 834 2363 3890 34i8 3946 4473 57 4i3i 4655 5179 5702 6226 6750 7274 7797 8321 8844 9368 9891 o4i5 0938 i46i 1984 2607 3o3o 3553 4076 4599 5l23 5644 6167 6690 7212 7735 8257 8727 9249 9771 0294 0816 84i5 8939 9464 9989 o5r3 io38 i562 2086 261 1 3i35 3659 4i83 4707 523i 5755 6279 6802 7326 7850 8373 8897 9420 9944 0467 2037 256o 3o83 36o6 4128 465 1 5i74 5697 6219 6742 7264 7787 83o9 87798831 9301 9354 9824 9876 o346 0398 086810920 oo63 0589 HID 1640 2166 2691 3217 3742 4267 4793 53i8 5843 6368 6893 7418 7942 8467 8992 9517 ♦o4i o566 1090 i6i4 2139 2663 .3187 3711 4235 4759 5283 5807 633 1 6855 7378 7902 8426 894 947 9996 o5i9 1043 1 566 2089 2612 3i35 3658 4i8i 47o3 5226 5749 6272 6794 7317 7839 836i 8884 9406 9928 o45o 0972 0116 0642 1 167 1693 3218 2744 3269 3795 4320 4845 5370 0169 0694 1220 1745 2271 2796 3322 3847 4372 4898 5423 5895 5948 6420:6473 6945 6 7470 7995 8520 9044 9569 0094 0618 1143 1667 2191 2715 3240 3764 4288 4812 5336 586o 6383 6907 743 1 7954 8478 9002 9525 ♦o48 0573 1095 1618 2l4l 2664 3187 3710 4233 4756 5279 58oi 6324 6846 7369 7891 84i4 8936 9458 9980 o5o2 1024 8047 8572 9097 9621 01 46 0671 1195 1719 2244 2768 3292 38i6 4340 4864 5388 5912 6436 6960 7483 8007 853o 9054 9577 0101 0624 ii47 1670 2193 2717 3239 3762 4285 4808 533 1 5853 0221 0747 1272 1798 2323 2849 3374 3900 4425 4950 5475 6000 6525 7o5o 7575 8100 8635 9149 9674 0198 0733 1247 1772 2296 2820 3344 3869 4393 4917 5441 5964 6488 7012 7536 8059 8583 9106 9630 oi53 0676 1200 1723 2246 2769 3292 38i5 4338 4860 5383 5906 6376 6899 7421 0274 0799 i325 i85i 2376 2901 3427 3952 4477 5oo3 5528 6o53 6578 7io3 7628 8i52 8677 9202 9726 025l 0775 i3oo 1824 2348 2873 3397 3921 4445 496' 549 6017 654 1 7064 7588 8112 8635 9682 0305 0729 1252 1775 2298 2821 3344 3867 4390 4913 5435 5958 DifT. 6428 648 6951 7473 79437996 8466 85 1 8 8988 9310 ♦o33 o555 1077 70o3 7526 8048 8570 9093 9615 oi37 0659 9040 9563 oo85 0607 112911181 Diff. & Mult. I 2 3 4 5 6 7 8 1234 56789 DiflT. 53 106 159 212 265 3i8 371 424 477 4 I I t I 52 2 io4 3 i56 4 308 5 260 6 3l2 7 364 8 4i6 9 468 DifT. 8c Mult. t •VI ) li 126 Ntim. 8320 a I 23 ■illl''kJ' a4 36 37 a8 29 83 30' 3 1 33 34, 35 36 3? 3S 39 834<> 4a 43 M 45 46 47 49 83 So 5 1 53 54 55 56 57 58 59 83 60 •61 63 63 64 65 66 07 68 69 83 70 71 73 73 75 76 77 78 79 Num. LOGARITHMS OP NUMBERS. 1 2 S 4 5 6 7 8 9 OaO 1 233 1755 2277 2799 3321 3842 I285|i338|i390|i442 1807 i860 1912 1964 2329 238 1 2434 2486 285 1 1 2901! 29553008 4364 44 1 6' 4886 4938 3373;3425j3477 3895 1 3947 4468 5407 5929 645o' 6971 7493 5459 5981 65o2 7033 7545! 3999 4321 4990 5o42 55 1 iJ5564 6o33.6o85 6554 7070 :7597 8118 6606 7128 7649 81 TO 8oi4'8o66 8535i8587,8639869i 9212 9733 0254 0775 90% 91 08; 91 60 # 95779629^9681 921 00980150 06190671 ii4o 1661 3181 270a 3333 3743 4263 4784 53o4 58a4 1 1 92 1713 2233 2754 3274 3795 43i5 4836 5356 5876 0202 0723 1244 1765 2285 2806 3327 3847 4367 4888 5408 5928 6345 6397 6449 6865 7385 7905 8425 8945 9465 ♦ 9984 932 o5o4 1024 i543 2o63 2582 3 102 3621 4i4o 4659 5i79 5698 6217 6736 7255 7773 8292 8811 9330 • 9848 933 o367 o885 6917 7437 7957 ^477 8997 9517 ♦o36 o556 1076 1595 21 1 5 2634 3i54 3673 4192 471 1 523 1 5750 6260 6788 73o6 7825 8344 8863 9381 9900 0419 0937 i4o4ji455 1 922 1 1 974 6969 7489 8009 8529 9049 9569 0088 0608 1 128 1647 2167 a686 3206 3725 4244 3539 4o5i 4573 5094 56i6 61 37 6659 7180 7701 8232 8743 9264 9785 o3o6 0827 1296 1 348 1817 2337 2858 3379 3899 4420 4940 5460 5980 65oi 7021 7541 8061 858 1 9101 9620 oi4o 0660 1180 1699 2219 2738 3257 3777 4296 4763 5282 58oi 6321 48i5 5334 5853 6372 68396891 7358 7877 8396 8915 9433 9953 0470 0989 i5o7 2036 74io 792 844' 8967 9485 1869 2389 2910 343 1 3951 447a 4992 55i2 6o32 6553 7073 7593 8ii3 8633 9153 9672 0192 0712 1233 I75I 2271 2790 3309 3829 4348 4867 5386 5905 6424 6943 746i 7981 85oo 9018 9537 ♦oo4 0522 io4i 1559 3077 OOS6 o574 1093 1611 2129 1 494 11 546 20 1 6 2068 2538 3o6o 2590 3i 12 3582 3634 4io3 4625 5i46 5668 4i55 4677 5199 5720 6189 6241 6711 7232 7753 8274 8796 9317 9838 o358 0879 i4oo 1921 2442 2962 3483 4oo3 4524 5o44 5564 6o85 66o5 7125 7645 81 65 8685 9205 1599 2121 i65i 2173 2642 2695 3i64 32i6 3686.3738 42o8'426o 47294781 525i 5772 6294 6763 7284 7805 8327 8848 9369 989*) o4i I 0931 1452 1973 3494 3oi4 3535 4o55 4576 5096 56i6 61 37 6657 7177 7697 8217 8737 9257 53o3 5824 6346 68156867 7336|7388 785779«o 8379' 843 « 8900 8952 4680 5200 5720 61896241 67096761 97349776 0244 0764 1283 i8o3 3323 2843 336i 388i 4400 49' 543 5957 6476 6995 75i4 8o33 8552 9070 I O20 0816 1 335 i855 2374 2894 34i3 3933 4452 4971 5490 6000 6528 7047 7566 8o85 86o3 9122 9421 9942 a463 0983 i5o4 2025 2546 3o66 3587 4107 4638 5i48 5668 9473 ODl5 io36 1 556 1703 3335 2747 3269 3790 43i3 4833 5355 5876 6398 6919 7440 7963 8483 9004 9535 ♦046 o567 1088 1608 Diff. 2077 3 1 29 2598 265o 3i 18 3170 3639 3691 41594211 7329 7749 8269 8789 7281 7801 8321 8841 93099361 9589 9641 0107J0159 06260678 ii44 1196 i663 1715 2l8ll3333 9838 o348 0868 1 387 1907 2426 2946 3465 3o84 45o4 5o23 5542 6061 658o 7099 7618 8i37 8655 9»74 9693 03 1 1 0730 1248 1766 2385 9880 o4oo 0920 1439 1959 2478 \tn 4o36 4556 5075 5594 6n3 6632 7i5i 7670 8188 8707 9226 9744 4732 5252 5772 6293 68i3 7333 7853 8373 8893 94i3 9932 o452 0972 1491 2011 253o 3o5o 3569 4088 4608 5i27 5646 6i65 6684 72o3 7723 8340 8750 9278 9796 0263 o3 1 5 0781 i3oo 1818 2337 o833 i352 1870 2388 12 3 4 5 6 7 8 9 Diflr. DiflT. k. Mult. 52 1 a 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 9 '53 106 159 212 365 3i8 371 424 477 5a 1 04 i56 208 260 3l3 364 4i6 468 DifT.&Mult. LOGARITHMS OF NUMBERS. Num. 8380 81 83 83 84 85 86 87 88 89 8390 91 93 94 96 97 98 99 84 00 01 03 o3 04 o5 06 07 08 09 84 10 II la i3 i4 i5 16 17 18 *9 8420 31 33 33 24 a5 36 37 38 29 84 3o 3i 32 33 34 35 36 37 38 39 Num. 12 3 4 5 6 7 8 9 933 2440 2958 3477 3qq5 4??3 5o3i 5549 6066 6584 710a 7620 8i37 8655 9172 • 9690 924 0207 0724 1242 1759 3376 3492, 2544^2596 2647 3oio3o62i3ii4 3i66 3528 358o:3632 3684 4o46'4o98 4i5o4202 4564'46i6 4668 4720 5082 5i34 5i86 5238 56oo 5653 J57o4: 5756 6118617062336274 6636668867406791 7309 7i54 7671 8189 8707 9224 9741 025o 0770 1293 I8I0 2328 72o5 7723 8241 8758 9276 2793 2845 33 10 3362 3827 4344 4860 5377 . 5894 64io 6927 7444 7960 8476 899 9509 9250025 o54i io57 1573 2089 2605 3l3I 3637 4i52 4668 5i84 5699 6a 1 5 6730 7245 7761 8276 8791 9306 • 9821 926 o336 o85i 1 366 1880 3395 3910 7357 7775 8292 8810 9327 9793 9845 3878 4395 4912 5429 5946 6462 697 749 8012 8528 9044 9561 0077 o3io 0828 1 345 1862 2379 2896 34i3 3930 4447 4964 5481 5997 65i4 7o3o 7547 8o63 858o 9096 9612 01 a8 o362 0879 1397 1914 243 1 2948 3465 3982 449? 5oi5 5532 6049 6565 7082 7598 0593 1625 2l4l 2657 7827 8344 8862 9379 9897 o4i4 0931 i448 1966 2483 3ooo 35i7 4o34 455o 5067 5584 6101 6617 7134 7650 3172 3688 4204 4720 5235 5751 6266 6781 7297 7813 8337 8842 9357 9873 o387 0902 i4i7 1932 2447 3961 0644 1160 1676 2192 2708 3224 3740 4256 4771 5287 58o2 63i8 6833 7348 7864 8379 8894 9409 8ii5 863 1 9»48 9664 0180 0696 1212 1728 2244 2760 3276 3791 8167 8683 9199 97i5 0232 0748 1264 1780 2296 281I 3327 3843 4307 4359 9924 0439 0954 1469 1983 2498 3oi3 4823 5338 5854 6369 6885 74oo 791 5 843o 8945 9460 9975 0490 ioo5 1 520 2o35 255o 3o64 4874 5390 5905 6421 6936 745i 7967 8482 8997 9512 ♦027 o542 io57 1572 2086 2601 3ii6 2699 2751 2803 2855 2907 3217 3269 3321 13373 3425 3736 3787 3839 3891 3943 4254 43o5 4357,4409 4461 4772 4823 4875 4927:4979 52905341539354455497 58o8 5859 59iii5963 6oi5 6325:6377642964816532 7930 8448 6843 736i 7878 8396 8913,8965 943 r 9483 9948 o466 0983 i5oo 2017 2534 6895,6947 6 74i3 7464 3o5i 3568 4o85 4602 5119 5636 6i52 6669 7185 7702 8218 8734 9251 9767 0283 079? i3i5 i83i 2347 2863 3379 3895 4410 4926 5441 5957 6472 6988 75o3 8018 8533 9048 9563 0078 0593 1108 1623 2i38 2653 3167 ♦000 o5i7 io35 1 552 2069 2586 3io3 3620 4i37 4654 5170 5687 6204 6720 7237 7753 7982 8499 9017 9534 oo52 o io8( i6o4 2121 3638 3i55 3672 4i8. 470! 5222 5739 6255 6772 7280 7805 7o5o 7568 8o85 86o3 ^6 8o34 855 1 9069:9120 958619638 8270 8786 9302 9819 o335 o85i i367 1 883 2399 2915 343o 3946 4462 4977 5493 6008 6524 7039 7554 8070 8585 9100 9615 01 3c 0645 8321 8838 9354 9870 o386 oio4 0621 ii38 i655 2172 2689 3206 3723 4240 4757 5374 5791 63o7 6824 7340 7857 8373 8889 9406 9922 o438 0902 i4i& 1934 245o 2966 3482 3998 45i3 5029 5544 6060 6575 7091 7606 8121 8636 9i5i 9667 0181 0696 0954 1470 1986 25o2 3oi8 01 55 0673 1190 1707 2224 2741 3258 3775 4292 4809 5326 5842 6359 6875 7392 7908 8425 8941 9457 9973 0490 1006 l522 2o38 2554 3069 1160 1675 2189 2704 3219 1211 1726 2241 2755 3534 4049 4565 5o8o 5596 61 II 6627 7142 7657 8173 8688 9203 9718 0333 0748 1263 1778 2292 2807 3585 4ioi 4616 5i33 5648 6i63 6678 7194 7709 8334 8739 9254 9770 0284 0799 i3i4 1829 2344 2858 3270I3322 3373 127 Diff. 01234 56789 Diff. & Mult. I 2 3 4 5 6 7 8 52 io4 i56 208 260 3l2 364 4i6 468 « ji '11 .' I! I I 11 »■ I' I 5i 2 102 3 1 53 4 204 5 255 6 3o6 7 357 8 4o8 9 459 DiiT. Diff. k. MnU. M 138 LOGABITHMS OF NUMBERS. 8440 46 4? 48 49 84 5o 5i 53 54 57 .5B 59 84 60 61 63 63 64 65 00 67 68 . ^ 8470 71 72 73 74 75 76 77 78 79 84 80 81 8a 83 85 86 87 88 89 8490 91 93 od 95 96 97 98 99 Nnnia 01234 56789 020 3434j3476,3527 39393990404a --^45o5 4556 5019 5071 55345585 445 4968 3482 5997 65ii 7095 7539 8o53 8567 9081 9595 60486099 6562|66i4 7076,7128 759017642 8 1 o5 8 1 56 861818670 92701090160 06220674 013291849335 96469698 ' 02 1 1 ii36 i65o ai63 2677 3190 3704 4317 473o 5343 3757 1187 1701 22l5 2728 3242 3579 4093 '40O0 5l33 5637 6r5i 6665 7>79 7693 8307 8721 974q 0363 0725 0777 1239 1752 2266 2780 3293 1290 i8o4 23l7 283i 3344 37553806 3858 4268 4330 4371 4782t4833j4884 5ao5| 5346,5397 58o8 5859 5910 62706321 63726424 6783683468856937 363o 4i45 4659 5i74 5688 6202 6716 723 1 7745 8259 8773 9287 9800 o3i4 0828 1 343 i855 2369 2882 3396 3909 4422 4935 5449 596a 6475 6q88 7301 801 4 8526 9039 955a oo65 0577 1090 1603 3Il4 2627 3i39 365i 4i63 4675 5187 5699 6211 6723 7335 7747 8258 8770 9077191 28j9i79 9230 9282 • 9588 1 9640 9691 9742 9793 939oioooi5i|o202 0253 o3o4 061 1 I0662J07I4 0765 0816 1 1 33, 11741 1 335 1376 i337 7396 7808 8331 8834 9347 • 9859 928 0372 o885 1397 1909 2423 2934 3446 3959 4471 49B3 5495 6007 7347 7860 8373 73987449 7911I7962 8434i8475 65i8 7o3o 7542 8885 8937|8o88 939894499301 99ii|9962J*oi3 o423 0475 0526 09360987 i448 1961 2473 2985 3498 4oio 4522 5o34 5546 6o58 io38 i55i 3o63 3576 3o88 36oo i5oo 201a 2524 3o37 3549 4o6i|4ii2 4573 4624 5o85 5i36 5597 5648 61096160 65706621 6673 7081 71337184 7593I7644 7696 8o548io5 8i568307 85651861686B88719 1634' i685; 1736 1787 3145319633473298 2656 2707 2758 2810 3167 32 18 3269 3321 3678 3729 3780 3833 i838 235o 2861 3372 3883 3682 4196 47»« 5235 5739 6354 6768 7283 3733 4248 4762 5277 5791 63o5 681Q 7333 7796 7847' 83io "' 8363 8875 93S9 9903 0417 08790931 8834 9338 9852 o366 3785,3836 42994351 48 14 5328 5842 6357 6871 7385 78 84i 48654916 5379 543 1 5894 64o8 6923 7436 8464 90795 1 3 846 1393 1907 a430 3934 3960 4474 4987 55oo 6oi3 6526 7039 7552 8o65 8578 9090 9603 0116 0628 ii4i i653 3166 3678 3190 3702 43i5 4737 5339 5751 58o2 6263 63 1 4 1444 1958 3471 3085 3498 4oi2 4525 5o38 555 1 6064 6577 7090 7603 8116 8629 9142 9654 0167 0680 1193 1705 3317 3729 324 1 3754 4366 4778 5390 6774,6826 7286|7337 7798,7849 83io836i 8821.8872 93339384 98449895 o356 o4o7 08670918 1378 1439 1889 1941 34oij3452 29i3'3963 3423 3474 3934 3985 8937 9441 9955 0468 0982 1496 2000 252S 3o36 355o 4o63 4576 5o8o 56o3 6116 6629 7142 7655 8167 8680 9193 9706 0218 0731 1243 1756 3368 3780 3293 38o5 4317 4829 5341 5853 6365 6877 7389 7900 84i2 8923 9435 9946 o458 0969 1 480 1992 35o3 3oi4 3525 4o36 3888 44o3 8978 9492 ♦006 0520 io33 i547 2061 2574 3«^8 36oi 4ii4 4628 5i4i 5654 6167 6680 7193 7706 8219 8732 9344 9757 0370 0783 1295 1807 2319 283? 3344 3856 4368 4880 5392 5904 64i6 6928 7440 7951 8463 8975 9486 9998 o5o9 1030 1 532 2o43 2554 3o65 3576 4087 5945 6459 6974 7488 8003 85i6 9o3o 9543 oo57 0571 io85 1598 2iia 2625 3 1 39 3652 4166 4679 5192 5705 6318 6731 7344 7757 8270 8783 9808 o32i o833 1346 i858 2371 2883 3395 3907 4419 4931 5443 5955 6467 6979 7491 8oo3 85i4 9026 9537 ♦049 o56o 1071 i583 2094 2605 3n6 3627 4i38 12 3 4 5 6 7 8 9 Diff. Diff. k. Molt. Ditr. I 2 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 5a io4 i56 208 360 312 364 416 468 5i 102 1 53 304 255 3«.6 357 4o8 459 Diff. At Mulu LOGARITHMS OF NUMBERS. 129 Nam. 8500 01 02 o3 o4 o5 06 07 08 09 85 10 II 12 i3 i4 i5 16 17 18 19 85 ao 31 33 a3 24 a5 a6 27 a8 29 85 3o 3i 33 33 34 35 36 37 38 39 85 4o 4i 43 43 44 45 46 47 48 49 85 5o 5i 53 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7 8 9 929 4189 4700 531 1 5732 6233 6743 7254 7764 8275 8785 9296 • 9806 93oo3i6 0826 1 336 1 847 3357 2866 3376 3886 4a4o 475 1 5262 5773 6284 6794 73o5 7815 8326 8836 4291 4802 53i3 5824 6335 6845 7356 7866 8377 8887 4343,4394 485314905 5364 541 5 58755926 6386.6437 68966947 9347 9398 4396 4906 54x5 5925 6434 6944 7453 7963 8472 8981 ' 9490 931 o568 1017 i526 ao35 3544 3o53 3562 9857 o367 0877 1 387 1898 2408 2917 3427 3937 4447 4957 5466 5976 6485 6995 75o4 8014 8523 9032 9541 ♦o5o 0559 1068 1 577 2086 2595 3io4 36i2 407041 2 1 4579 5087 5596 6104 6612 7121 7629 8i37 8645 9153 • 9661 932 0169 0677 ii85 1692 aaoo 2708 32i5 3723 423o 9908 o4i8 0928 1 438 1949 2459 2968 3478 3988 4498 5oo8 55i7 6027 6536 7046 7555 8064 8574 9083 9592 oroi 0610 1119 1628 2i37 2646 3r55 3663 4172 7407 79*7 8428 8938 9449 9959 0469 0979 1489 2000 25lO 3019 3529 4o39 4549 SoSo 5568 6078 6587 7097 7606 8ii5 8625 9134 463o 5i38 5647 6i55 6663 7171 7680 8188 8696 9204 9712 0220 0728 1235 1743 225l 2759 3266 3774 4281 4680 5189 5697 6206 6714 7222 773i 8239 8747 9255 9763 0271 0778 1286 1794 3303 2809 33i7 3824 4332 7458 7969 8479 8989 9500 ♦010 o52o io3o 1 540 2o5i 256i 3070 358o 4090 4600 5iio 5619 612 663 7i48 7657 8166 8676 9185 9643 Ol52 0661 1170 1679 3188 2697 32o5 3714 4233 473 1 5240 5748 6257 6765 7373 7781 8289 8798 9306 9814 o32i 0829 i337 1845 3352 3860 3368 3875 4382 9694 0203 0713 I33I 1730 3339 3748 3256 3765 4374 4782 5291 5799 63o7 6816 7324 7832 834o 8848 9356 9864 0372 0880 i388 1896 24o3 2911 3418 3926 4433 4445 4496 454714598 4956 5007 5o58 5109 5466 55 1 7 5569' 5620 597716028 60796130 648865396590 6998 7509 8020 853o 9040 9551 0061 0571 1081 1 591 2102 2612 3l21 363 1 4i4i 465 1 5i6o 5670 6180 7o5o 7560 8071 858i 9091 9602 0112 0622 Il32 1643 2i53 2663 3172 3682 4192 4702 52II 5721 623i 66896740 725o 7190 7708 8217 8727 6641 4649 5i6o 5671 6181 669a 9745 0254 0763 1272 1781 7759 8268 8777 9236 9287 9796 o3o5 0814 2290 2798 33o7 38i6 4324 4833 5341 585o 6358 6867 7375 7883 8391 8899 9407 9915 o423 0931 1439 1946 2454 2963 3469 3977 4484 i323 i832 7101 761 1 8122 8632 9142 9653 oi63 0673 ii83 1694 2204 2713 3223 3733 4243 4753 5262 5772 6282 6791 73oo 7810 83i9 8828 9338 9847 o356 o865 1 374 i883 2341 2849 3358 3867 7i52 7662 8173 8683 9194 9704 0214 0724 1234 1745 2255 2764 3274 3784 4294 48o4 53i3 5823 6333 6842 735 1 7861 8370 887( 938i 9898 0407 0916 1425 1933 2391 2900 3409 3918 4375 4426 4884 5392 5901 6409 6917 7426 7934 8442 8950 9458 9966 o474 0982 1489 1997 25o5 3oi2 3520 4027 4535 72o3 77i3 8224 8734 9345 9755 0265 0775 1285 1796 23o6 2815 3325 3835 4345 4855 5364 5874 6383 6893 74o2 7912 8421 8930 9439 9949 o458 0967 1475 1984 Dim 4935 5443 5953 646o 6968 7476 7985 8493 9001 9509 ♦017 o525 io32 i54o 2048 2555 3o63 3571 4078 4585 2442 2951 3460 3968 4477 4986 5494 6002 65ii 7019 7527 8o35 8544 905 2 9560 0067 o575 io83 1 591 2099 2606 3ii4 3621 4129 4636 2493 3oo2 35ii 4019 4528 5o36 5545 6o53 6562 7070 7578 8086 8594 9102 9610 0118 0626 ii34 1642 2149 2657 3i65 3672 4i8o 4687 12 3 4 5 6 7 8 9 17 Diff. & Mult. 5l I 5i 2 103 3 1 53 4 3o4 5 255 6 3o6 7 357 8 4o8 9 459 Diff. i I 5o 3 100 3 i5o 4 300 5 35o 6 3oo 7 35o 8 4oo 9 45o Diff. t Mulu i r 11 130 LOGAKITHMS OF NaMBEBS. Ntun. Oi 01234 56789 933 473814788 5345 5296 58o3 7274 7781 8288 8795 9301 • 9808 933o3i5 0822 1 328 i835 a34i 3848 3354 386o 4367 4873 5379 4839 5346 5854 636i 6868 7375 7882 48904941 5397:5448 59045955 64i2|6462 69196969 742617476 79337983 8389 8440 8490 8890 8947 8997 94o3 9453 9504 9555 9606 58855936 6391 6897 74o3 7909 84i5 8920 94a6 6442 6948 7454 7959 8465 897 9477 5o42 5549 6o57 6564 7071 7527 7578 8o34 8o85 854 1 8592 9048 9099 61 58 6665 7122 7172 5i44|5i94 565 1 5702 ♦ 99329982 934 o437|o488 0943 i448 1953 2459 2964 3469 3974 4479 4985 5489 5994 6499 7004 9960 0467 09741 1 480 1987 2493 3ooo 35o6 4oi2 4519 5o25 553 1 6037 6543 7049 7555 8061 8566 9072 9578 oo83 0589 1094 1600 2io5 ♦on o5i8 1024 i53i 2037 2544 3o5o 3557 4o63 4569 5075 558 1 6088 6594 7099 7605 8111 8617 9123 9628 01 34 0639 114^ i65o 2i56 a553 3o57 356i 4o65 4569 7o54|7io5 7559 8064 8568 9073 9578 5187 5691 6196 6701 7206 76607711 8i65 82i5 86698720 91749224 9678 9729 01 83 0233 0687 0738 1 191 1242 1696 1746 2200 225o 2654 2704 2754 3i58 3208 3259 366237123763 416642164266 467oi472ol4770 0062 o568 1075 1 582 ao88 2595 3ioi 3607 4ii4 4620 5i26 5632 61 38 6644 7i5o 7656 8162 8668 9173 9679 0184 0690 1 195 1701 2206 0112 0619 1 1 26 i632 2139 2645 3i52 3658 4i64 4670 5i77 5683 6180 6695 7201 7707 8212 8718 9224 9729 0235 0740 1246 i75i 2257 7629 8i36 8643 9149 965i oi63 0670 1176 i683 2189 2696 3202 37o< 5227 5733 6239 6745 6209 6716 7223 7679(7730 81868237 8693 8744 9200 925i 970797^8 0264 0771 1278 1784 2291 2746 3253 3759 4265 4772 5278 5784 6290 6796 72 5 1 73o2 7757 8263 8769 9274 9780 0286 0791 1296 5328 5834 634 1 6846 735a 7858 8364 8870 9375 9881 2762 3267 3772 4277 4783 , 1 347 1802 1 852 23o7 2358 7808 83i3 8819 9325 983 1 o336 0387 0842 0892 2812 33i8 3823 4328 4833 7761 8266 8770 9275 9779 0284 0788 1292 1797 23oi 2805 3309 38i3 43i7 7812 83i6 8821 9325 2863 3368 3873 4378 4884 5388 5893 983098809931 o334 o838 1343 1847 235 1 2855 3359 3863 4367 482i|487 7862 8367 8871 9376 o385 0880 1393 1897 2402 6903 74o8 7912 8417 8922 9426 1398 1903 2408 2914 3419 3924 4429 4934 5439 5944 63986449 0435 0939 1444 1948 2452 29062956 3410 3460 39143964 44184468 4922 4972 6954 7458 7963 8468 8972 9477 9981 o485 0990 1494 1 3oo6 35ii 4oi5 45r8 5022 Diff. Diffl k Mult. NllTl. 7 8 9 Diff. I 5i 2 102 3 1 53 4 204 5 255 6 3o6 7 357 8 4o8 9 459 Diff. & Molt. LOGARITHMS OF NUMBERS 131 Num. 8620 1 935 5073 12 3 4 5 6 7 8 9 21 32 23 24 a5 36 27 28 29 86 3o 3i 32 33 34 35 36 37 38 39 86 4o 41 42 43 44 45 46 47 48 49 86 So 5i 52 53 54 55 56 57 58 59 8660 61 62 63 64 65 66 67 - 68 69 8670 71 72 73 74 75 76 77 78 79 Num. 5576 6080 6584 7087 7591 8095 8598 9101 ♦ 9605 9360108 0611 iii4 1617 3I20 5i23 5627 6i3i 6634 7i38 7641 8i45 8648 9x52 9655 oi58 0661 ii65 1668 2171 5173 5677 6181 6685 7188 5224 5728 623i 6735 7239 7742 8246 8749 9252 9756 02090259 07120762 7692 8195 8699 9202 9705 - 2623 3126 3629 4i32 4635 5i37 564o 6143 6645 7148 7650 8i52 8655 9157 * 9659 9370161 o663 ii65 1667 2169 2671 3172 3674 4176' 4677 5i79 568o 6182 6683 7184 I2l5 1718 2221 2724 3227 3730 4233 4735 1265 1768 2271 5274 5778 6282 6785 7289 7792 8296 8799 93o3 9806 o3o9 0812 i3i6 1819 2322 2674 3177 3679 4182 4685 5 188 5238 5690 5741 6193 6243 6695 6746 7198 7700 8203 8705 9207 9709 7248 775o 8253 8755 9257 2774 3277 3780 4283 4786 5288 5791 6293 6796 7298 7801 83o3 88o5 9307 0211 0713 I2l5 1717 2219 2721 3223 3724 4226 4728 5229 5731 6232 6733 7235 97599810 o3i2 o8i4 i3i6 0261 0764 iq65 1767 2269 2771 3273 3775 4276 4778 5279 5781 6282 6783 7285 7686 8187 8688 9189 • 9690 938 01 91 0692 1 193 1693 2194 2695 3195 3696 4196 4697 1818 2319 2821 3323 3825 4326 4828 5329 583 1 6332 6834 7335 2825 3327 383o 4333 4836 5338 584 1 6344 6846 7349 785 1 8353 8855 9358 9860 o362 o864 1 366 1868 2370 7736 8237 8738 9239 9740 oa4i 0742 1243 1744 2244 2745 3245 3746 4247 4747 2871 3373 3875 4376 4878 538a 588 1 6382 6884 7385 7786 7836 8287 8337 8788 8838 9289 9339 9790 0291 0792 1293 1794 2294 2795 3296 3796 4297 4797 7886 8387 8888 9389 98409890 0391 o34i 0842 i343 i844 2344 2845 3346 3846 4347 4847 5325 5828 6332 6836 7339 7843 8346 885o 9353 9856 o36o o863 i366 1869 2372 2875 3378 388i 4383 4886 5389 5891 6394 0892 1393 1894 2394 2895 3396 3896 4397 4897 5375 5879 6382 6886 7390 7893 8397 8900 94o3 9907 o4io 0913 i4i6 1919 2422 5425 5929 6433 5476 5970 6483 6936 6987 2925 3428 3931 4434 4936 5439 5942 6444 6896 6947 7399 7901 84o3 8906 9408 9910 o4i2 0914 i4i6 1918 2420 7449 7951 8454 8956 9458 9960 0462 0964 1 466 1968 2470 7440 7943 8447 8950 9454 9957 o46o 0963 i466 1970 2473 2975 3478 3981 4484 4987 5489 5992 6494 6997 7499 8002 85o4 9006 9508 ♦010 7490 7994 8497 9001 5526 6o3o 6533 7037 7541 8044 8548 905 1 2922 3423 3925 4427 4928 543o 5931 6432 9504 9554 oo58 o56i 1064 1567 2070 2573 3076 3579 4082 4584 5087 5590 6092 6695 7097 7600 8102 8604 9'07 9609 OIIl ♦007 o5ii ioi4 i5i7 2020 2523 3026 3529 4o3i 4534 5o37 5540 6042 6545 7047 7550 8o52 8554 9056 9559 0061 2972 3474 3975 4477 4978 54go 5981 6483 69346984 7435 7936 8437 8939 9440 9941 o44i 0942 1443 1944 2445 2945 3446 7485 7986 8488 8989 9490 9991 0492 0992 1493 1994 2495 2995 3496 o5i3 ioi5 i5i6 2018 2520 3022 3524 4025 4527 5028 553o 6o3i 6533 7034 7535 o563 io65 1 567 2069 2570 3072 3574 4075 4577 5079I5 o6i3 iii5 1617 2119 2621 3l22 3624 4126 4627 129 Diff. 8o37 8538 9039 9540 ♦o4i o542 1042 i543 2o44 2545 558o 6082 6583 7084 7585 8087 8588 9089 9590 0091 0592 1093 1593 2094 2595 3o45 3546 563o 6i32 6633 7134 7636 8i37 8638 9139 9640 oi4i 0642 1143 1643 2i44 2645 3095 3596 {4096 3946 3996 4o46 4447 4497 4547 14597 4947 4997I5047 5097 3i45 3646 4i46 4647 5i47 01234 56789 Diff. &. Mult. 2 3 4 5 6 7 8 5i 102 i53 2o4 255 3o6 357 408 459 I 5o 2 100 3 i5o 4 200 5 25o 6 3oo 7 35o 8 4oo 9 45o ■J. ^'1 I 1 \ 1, Diff. Diff. & Mult. Itt Nam. 8880 8i 83 as 84 Nam. LOGARITHMS OF NUMBERS 1234 56789 938 5i97i5247 5297t5347,5397 HfirM Hmjiu dtt i;u^» calQ 56985748 6198 6248 7698 8198 8698 9198 • 9698 9890198 0697 1 197 1697 2196 2696 3195 3695 4194 4693 5193 5692 6191 5798 6298 6798 7298 7748 82488398 8748 " ~ 9248 9748 7688 8187 8685 9184 • 9683 9400182 0680 1179 1677 2176 3746 2796 3245 3295 3745 3795 4M4 4394 4743 4793 5292 5792 6291 6790 7239 7289 7738 8237 8735 9234 9733 2674 2724 3172 3222 36708720 41694218 4667471747664816 5i65 5663 6161 96459695 0192 0690 1187 1684 2182 2679 3170 3673 4170 4667 52i5 5713 6211 6659 6709 71577206 7654 8i52 865o 9147 7788 8286 8785 9284 9783 2774 327a 3770 4268 7704 8202 8700 9197 5264 5762 6260 6758 7256 7754 8252 5848 5898 6348 6308 6848:6898 73487398 7848 8348 8848 9348 9848 o348 0847 1 347 ■ 847 3346 2846 3345 3845 4344 4843 5342 584 1 634 1 684o 7339 7837 8336 8835 9334 9833 o33i o83o 1 328 1827 3335 2823 3322 3820 43i8 9247 9744 0243 0789 1237 1734 223l 2729 3220 3723 4320 4717 53i4 58i2 63 10 6808 73o6 7804 83oi 8749 8799 9297 9794 0292 0780 2778 3275 3772 4270 4766 7887 8386 8885 9384 988a o38i 0880 1878 1877 2875 2873 8872 3870 4868 4866 5864 5862 6860 6858 7356 2828 3825 3823 43 1 48 \t 5447 5948 6448 7448 7948 8448 8948 9448 9948 o448 0947 1447 1947 2446 2946 3445 3944 4444 4943 5442 5941 6440 69486998 5497,554715598 599860486098 6498 6548 6598 " -70487098 7498 7548 7998 8498 8998 7987 8436 89858985 9434 9983 54i4 591a 64io 7908 84oi 0498 0997 1497 1997 2496 2996 3495 3994 4494 4993 5493 5991 6490 8o48 8548 9048 9498 9548 9598 9998*0480098 7987 8486 9483 9982 2978 3471 2928 8421 8920 44i8 49164966 5464 5963 646o 69086957 74o5 7455 o548 1047 1 547 2o46 2546 3o45 3545 4044 4544 5o43 5542 6o4i 654o 7080 3o 8098 8598 9098 7538 7588 8087 8586 9085 9583 ♦082 3oa3 35a 1 4019 45i7 5oi5 55i3 601 6509 7007 75o5 0598 1097 1597 2096 2596 8095 3595 4094 4598 5098 5593 6091 6590 5648 6i48 6648 7»48 7648 8i48 8648 9' 48 9648 01 48 o648 ii47 1647 3i46 2646 3i45 3645 4(44 4643 5i43 5642 6i4i 6640 70897189 " 7638 8087 8586 9084 9583 0082 88998948 9896 9894 0891 0889 i883 a88o 7953 8oo3 845i 9446 9943 o44i 0938 1 436 1933 243o 3927 8425 8933 4419 85oo 8998 9496 9993 0491 0988 1 485 1983 3480 2977 3474 8971 4468 8078 3571 4069 4567 5o65 5563 6061 49T6 4965 7057 7555 8o53 855o 9048 9545 ♦043 o54o 1088 1 535 3082 353o 3o37 3534 4o2i 45i8 8187 8636 9134 9688 0183 8122 36a I 4119 4617 5ii5 56i8 6111 65596609 7107 7605 8102 8600 9595 0093 0590 1088 1 585 ao8a 2579 8077 3574 4071 4568 5oi5l5o65 01234 56789 DiC Ditr. & MalU 5o I 5i a 102 3 1 53 4 3o4 5 355 6 806 7 357 8 408 9 459 I 5o a 100 3 i5o 4 aoo 5 a5o 6 800 7 35o 8 400 9 45o Dim DiflT. Jb Mult LOGARITHMS OF NUMBERS. 133 :fi Nuin. 8740 4i 42 43 44 45 46 47 48 49 8750 5i 5a 58 54 55 56 57 58 59 8760 61 63 63 64 65 66 67 68 69 8770 71 72 73 74 ■ 75 76 77 78 79 8780 81 82 68 84 85 86 87 88 89 8790 91 94 96 98 99 Num. 12 3 4 94l5ii4 56ii 6108 66o5 7101 7598 8095 8591 9088 * 9584 9420081 o577 1078 1569 2o65 5i64j53i4 566i 5711 6i58J6207 6654 6704 7201 7697 7i5i 7648 8144 864 1 9187 9634 01 3o 0626 1138 1619 3II3 5263 53i3 57605810 62576807 67546808 8194 8691 9187 9683 0180 0676 1 1 72 1660 2i65 2562 8o58 3553 4049 4545 5o4i 5537 6082 6528 7034 7519 801 5 85i6 9005 9501 * 9996 943 0491 0986 i48i 1976 247J 2966 3461 3956 445o 4945 5440 5934 ^'? 6923 7418 7912 84o6 8900 9895 • 988 944 o38 0877 1871 7250 7747 8244 8740 9237 9733 0229 0726 1322 I718 32l4 261 1 3 1 07 36o3 1^ 509! 5586 6082 6578 7078 7569 8064 856o 9055 955( ♦045 o54i io36 i53i 2026 7300 7797 8293 8790 9286 9788 0279 0775 137a 1768 2264 2661 3i57 3653 4i49 4644 252T 3oi6 35io 4oo5 45oo it 5984 6478 5i4o 5636 6182 6627 7123 7618 8ii4 8609 9104 9600 0095 o5o io85 i58o 2075 2570 3o65 356o 4o55 4549 5o44 5539 3710 8306 3702 4198 4694 5190 5686 6181 6677 7172 2760 3256 8753 4248 4744 5289 5735 6281 6726 7222 7668 8i63 8659 9154 9649 0144 0640 ii85 1680 2125 2620 3ii5 3609 4io4 4599 5094 5588 6o33l6o83 6528 1 865 2358 2852 3346 384o 4333 6973 7467 7961 8456 8950 9444 9938 o48a 0926 1420 1914 2408 2902 3395 8889 4383 7022 75i7 801 1 85o5 8999 9493 9988 0482 0976 1470 1968 2457 2951 3445 8988 4432 6577 7072 7566 8060 8555 9049 9543 ♦087 o58i 1025 i5io 201 d 5 6 7 8 9 5363 5412 586o 5909 6356 64o6 6853 6903 7350 7899 5462155 1 215562 5959J6009I6058 7846 8343 8840 9336 9882 082 082S 1821 1817 23i3 7896 83 ~ 8889 9386 9882 0378 0875 1 371 1867 2363 645 6952 7449 7946 8442 893 943 9932 0428 0924 1420 1917 24i3 7717 8218 8708 9304 9699 0194 0689 ii84 1679 2174 2669 8164 3659 41 54 4648 5i43 5638 6i32 6627 7121 7615 8110 86o4 9098 9592 0086 o58o 1074 1 568 2062 2810 33o6 38oi 4297 4793 5289 5785 6280 6776 7271 7767 8262 8758 9253 9748 0244 0789 1384 1729 2224 2719 8214 3708 42o3 4698 5192 5687 6182 6676 7170 7665 8159 8653 9148 9642 01 36 o63o 1 1 24 1618 2859 3355 385 1 4347 4843 5339 5834 633o 6825 7321 7816 83i2 8807 \U 340 3ooi 65o5 7002 7499 7995 8493 8988 9485 9981 0478 0974 1470 1966 2462 2958 3454 3950 4446 6555 7o52 7548 8o45 8542 9088 9535 ♦o3i 4397 -,-,^ 4892I494 5438 5988 642 692 7420 5388 5884 6379 6875 7871 7866 8861 8857 93o3 9352 9798 7916 84ii 8906 9402 9897 25o7 3ooo 3494 3988 448i 2556 3o5o 3543 4087 458i 2112 2605 3099 3593 4086 458o 0293 0788 1283 1778 2278 2768 8268 3758 4253 4747 5242 5787 623i 6726 7220 771 4 8209 8703 9691 oi85 0679 1 173 1667 2161 9847 343 0892 0887 1882 1877 2372 2867 o838 1 333 1828 2823 2818 3807 43o2 4797 0527 1023 1 520 2016 25l2 3oo8 35o4 4000 4496 4991 5487 5988 6479 6974 7470 7965 846i 8956 9451 9946 0442 0987 1 432 1927 2422 33i3 3363 3857 4352 4846 5291 5341 5786 5835 6280 6775 7269 7764 825« 8752 9246 9741 0235 0729 1228 1716 2210 2655 3i48 3642 4i36 4629 633o 6824 7819 7818 83o7 8802 9296 9790 0284 0778 1273 1766 3260 Diff. DiflT. & MulU 2704 3198 3691 4i85 4679 2753 3247 3741 4284 4728 2917 3412 3906 4401 4896 5390 5885 6879 6874 7368 7868 8357 885i 9345 9889 o333 0827 1821 i8i5 2809 2808 3297 3790 4284 4777 1 3 4 5 6 7 8 9 I 2 3 4 5 6 7 8 5o 100 i5o 200 25o 800 35o 4oo 45o tfl I 2 $ 3 i47 4 196 5 245 6 394 7 343 8 892 9 44i Diir. Diff.A:Molt 134 Niim. §800 m 02 o3 M o5 06 07 08 09 8810 II la i3 14 iS 16 17 t8 do iilCl 31 93 M a6 27 a8 39 88 3o 3i 3a 33 34 35 36 37 38 39 8840 4i 42 43 44 45 4o 47 48 49 88 5o Si. 5a 53 54 55 56 57 58 59 LOGARITHMS OF NUMBERS. 012 34 567891 I #44 4«27j4876 4926 4975(5oa4 54195468 55 18 5320';537o 58 1 4: 5863 63o7'6356 6800 685o 7294 7787 8280 8773 9266 9759 7343 7836; 5912 5962 64ci6 6455 6899^6948 7392! 7442 78857935 832983798428 945 02 5 2 0745 1238 1730 aa33 3716 3208 3701 4193 4686 5178 5671 6i63 6655 8822 93i5 9808 o3oi 0704 1287 1780 2272 3765 3258 3750 4243 4735 5227 5720 6212 8872 8921 93659414 9858 o35t 0843 1 336 1829 2333 28 1 4 9907 04000449 0893 1 386 1878 2371 2864 33o7 3356 3799 3849 7147 7639 8i3i 8623 9115 • 9607 9460099 0591 1082 1 574 - 2066 355? 3o49 3540 4o3i 4533 5oi4 55o5 5906 6487 697® 7469 7196 7688 8180 8672 9164 9656 01 48 0640 ii3i 1623 2Il5 2606 3098 3589 4o8o 4292 4784 5277 5769 6261 6704 6753 7246 7738 8230 8722 4341 4834 5326 58i8 63 10 68o3 7ao5 7787 8279 8771 601 f 65o4 6998 7491 7984 8477 8970 9463 9956 92149263 79608009 845i 8943 9433 • 9923 9470414 ooo5 1395 1886 3376 2866 3357 3847 4572 5o63 5554 6045 6536 7027 75i8 9705 0197 0689 1181 1672 3164 2655 3i47 3638 4i3o 9755 0246 0738 i23o 1721 4631 5f 13 56o3 6094 85oo 8991 9482 9973 o463 0954 1444 1935 3425 2915 65866635 7077 7568 8o58 8549 9040 9531 ♦022 05l2 ioo3 1493 1984 3474 2965 32l3 2705 3196 3687 4179 4670 5i6i 5652 6144 7136 7617 8108 8598 9089 9580 0071 o56i io52 1542 2o33 3533 3ot4 35o4 34o6|3455 3896' 3945 3994 4043 0943 1435 1928 2430 3913 34o5 3898 4390 4883 5375 5867 636o 6853 7^44 7836 8338 8820 931 3 9804 0296 0787 1279 1771 3263 3754 3245 3737 4328 4719 5210 5703 6193 6684 7175 7666 8157 864? 91 38 9639 0130 0610 1 101 1591 ao8a 3572 3o63 3553 5073 5567 6060 6554 7047 7540 8o33 8527 9020 951 3 ♦006 0498 0901 i4»4 1977 5l33.5l72j5222 56i6 5666 5715 61 io'6i5962o8 6652,6702 7146 7195 2469 3963 3455 3947 4440 4933 5434 5917 6409 6901 66o3 7096 7590 8o83 8576 9069 9562 oo55 o548 104 1 1 533 3026 7393 7885 8377 25i9 3oi 35o4 3906 4489 4981 5474 5966 6458 6950 744a 7934 8426 88698918 94io 7639 8i32 86a5 9118 9611 0104 0597 1090 1 583 2075 2568 3o6t 3553 4o46 4538 5o3i 5523 6or5 65o7 7000 7688 8181 8674 9167 9660 oi53 0646 1 139 i632 3125 9361 9853 o345 o836o8^ 1 328 1377 1869 9003 o3o4 7492 7984 8476 8968 i8ao 33 1 1 a8o3 3294 3786 4377 4768 5a6o 575 1 6342 6733 a36o 2852 3343 3835 4326 4817 53o9 58oo 6291 678a 7334 7373 771 5 8206 8697 9187 9678 0169 0659 n5o i64o ai3i 363 1 3f 12 36o2 7764 8255 8746 9336 9727 0218 0708 :^ 3i8o 2670 3r6i 365 1 9951 0443 0935 1426 1918 2410 2901 3393 3884 4375 4867 5358 5849 634o 683 1 2617 3iio 36o2 4095 4587 5o8o 5572 6<)64 6557 7049 7541 8o33 8525 9017 9459 9509 9558 7322 7813 83o4 8795 9385 9776 0267 0757 ia48 1739 3339 2719 3210 3700 ♦000 0492 0984 1476 1967 3459 2950 3442 3933 4424 4916 5407 5898 6389 6880 5271 5764 6258 6751 7244 7737 823i 8724 9217 9710 0203 0696 1 188 I68I 3174 2667 3i59 3652 4r44 4637 5129 5621 6!i4 6606 7098 7590 8082 8574 9066 40921414114190 7371 7862 8353 8844 9335 9825 o3i6 0807 1397 1788 3378 2768 3259 3749 4239 oo5o o54i io33 1525 30l6 35o8 3491 3982 4474 4965 5456 5947 6438 6939 7420 79" 84o3 8893 9384 9874 o365 o856 1 346 1837 2337 2817 33o8 4288 Nuni. 01234 56789 iNflr. DiC ^ Malt. I 3 3 4 5 6 7 8 9 Diflr. I 2 3 4 5 6 7 8 9 5o 100 i5o 200 25o 3oo 35o 4oo 45o 1 47 196 345 394 343 39a 44i DiC k. Molt LOGARITHMS OF NUMBERS. 135 Num. 8860 61 62 63 64 12 3 4 5 6 7 8 9 I 65 66 67 68 69 8870 71 72 73 74 75 76 77 78 79 8880 81 83 83 84 85 86 87 88 89 8890 91 9? ^] 94 96 9Z 98 99 8900 01 02 o3 o4 o5 06 07 08 09 89 10 II 12 i3 i4 i5 16 17 18 19 Num. 947 4337 4386 4435 4827 4876 4925 5317 5366 54x5 5807 5856 5905 6397 6346 6395 678768366885 7277 7326 7375 776778167865 8257 83o6 8355 8747 8796 8844 9236 9285 * 97269775 948 02 1 5 0264 0705 0754 1 194 1243 i684 1733 21733332 2662 27 1 1 3i5i 3200 4484 4974 5464 5954 6444 6934 7424 7914 84o4 8893 9383 9873 o362 364 1 3689 4i3o 949 4619 5io8 5597 6o85 6574 7063 7552 8o4o 8529 9018 9506 5 0971 1 460 1948 2436 2924 3413 3900 4388 4876 5364 5852 4t79 4668 5i57 5646 61 34 6623 7112 7601 8089 8578 9066 9555 ♦043 o532 1020 9334 9824 o3i3 (>8o3|o852 1292 1 341 1781 i83q 3271I2320 2760 3249 3738 4237 4717 52o5 5694 6i83 2809 3298 3787 4533 5o23 55i3 6oo3 6493 6983 7473 7963 8453 8942 9432 9922 o4ii 0901 1390 1879 2369 2858 3347 3836 4582 5072 5562 6o52 6542 463 1 4680 4276 4765 4325 48i4 5254 53o3 5743 6232 i5o8 1997 2485 2973 3461 6672 7161 7650 8i38 8627 9115 9604 0092 o58i 1069 1 557 2045 2534 3022 35io 6721 7210 7698 8187 8676 9164 9653 oi4i 0629 1118 1606 2094 2582 3070 3558 6339 6827 73i5 7802 8290 8777 9264 * 9752 950 0239 0726 iai3 1 701 2188 2675 3i6a 3949 4437 4925 54i3 5900 6388 6876 7363 785 1 8338 8826 93i3 9801 0288 0775 1262 1749 2236 2723 33IO 3998 4486 4973 5461 5949 6437 6934 7412 7900 8387 8875 9362 9849 o337 4o46 4534 5o22 55io 5998 6486 6973 7461 7948 8436 8923 5792 6281 6770 7259 7747 8236 8724 9213 9701 0190 0678 1 167 i655 2143 263 1 3119 3607 4095 4583 5071 5559 6047 6534 7022 75io 7997 8485 8972 9411 9459 98989947 0824 i3ii 1798 2285 2772 3259 o385 0872 i36o 1 847 2334 282 0434 0921 1 408 1895 2382 2869 7o32 7522 8012 85o2 8991 9481 o46o 0950 1439 1928 2418 388 4374 4863 5352 584i 633o 6819 7307 7706 8285 8773 9262 9750 0239 0727 I2l5 1704 2192 2680 3i68 3656 4i44 4632 5l20 56o8 6095 6583 7071 7558 8o46 8533 5l2I 56ii 6 1 01 6591 7081 7571 8061 855i 9040 9530 ♦020 oSoo 0998 i488 5170 566o 61 5o 664o 47294778 52195268 5709 6199 6689 1977 2467 2956 3445 3934 4423 4912 5401 5890 6379 6868 7356 7845 8334 8822 7i3o 7620 8110 8600 9089 9579 0068 o558 io47 1 537 2026 25 1 5 3oo5 3494 3983 4472 4961 545o 593 642 7179 7669 8159 8649 91 38 9628 0117 0607 1096 1 586 5758 6248 6738 7228 7718 8208 8698 9187 9677 0166 o656 1 145 i635 DiflT. 2075 2564 3o54 3543 4o32 4521 5oio 5499 5988 6477 9311 0288 0776 1264 2124 2613 3l02 3592 4081 4570 5o59 5548 6o37 6525 6916 74o5 7894 8382 8871 9360 9848 o336 0825 i3i3 9021 1752 224r 2729 3217 3705 4193 4681 5169 5656 6i44 6632 7119 7607 8oq5 85: 9069 6965 7454 7943 843 1 8920 9408 9897 o385 0874 1 362 1 801 2289 2778 3266 3754 4242 473o 5217 5705 6193 6681 7168 7656 8143 863 1 i85o 2338 2826 33i4 38o2 7014 75o3 7992 8480 8969 9457 9946 0434 0922 i4ii 1899 2387 2875 3363 385i 33o8|3356 9508 9557 9995 4044 o483o53i 0970 1019 1457 i5o6 1944 1993 4290 4778 5266 5754 6242 6729 7217 77o5 8192 8680 243 1 2918 34o5 2480 2967 3454 9118 9606 0093 o58o 1067 1 554 2042 2529 3oi6 35o2 9167 9654 0142 0629 IIIO 4339 4827 53i5 58o3 6290 6778 7266 7753 8241 8728 9216 9703 0190 0678 ii65 49 i6o3 2090 2577 3o64 355i i653 2i39 2626 3ii3 36oo Di 3 i44 4 193 5 240 6 288 7 336 8 384 9 43a 12 3 4 5 6 7 8 9 Diff. Diff. & Mult. \i 136 Nom. 8920 ai aa a3 25 a6 a? aB 29 8930 3i 32 33 34 36 37 38 39 89 4o 4i 43 M 45 47 48 49 8950 5i 5a 3*3 54 55 56 57 58 59 8960 61 63 64 65 66 67 68 69 8970 71 7a 73 74 75 76 77 78 79 LOGAKITHMS OF NUMBERS. Num. 12 3 4 950 364 4i3 462 a 5io9 5590 6082 0J09 7o55 7542 8028 85i5 9CK11 9487 • 9973 951 0459 0946 1433 1 91 8 3404 2889 3375 386 1 4347 4832 53i8 58o3 6389 6774 7260 7745 8a3o 8716 9201 3697 4i84 4671 5i58 5644 6i3i 6617 7104 7590 8077 8563 90 5o ♦022 o5o8 3746 4333 4730 5206 5693 6180 6666 7 1 53 7639 81 30 861 a 9^ q584 953695849633 0071 0557 0994 1043 i48oji52o 1966I2015 2,452 aSoi 2938 2987 34243472 30103958 43954444 3705 4a8i 4768 5a55 5742 6228 6715 7201 7688 8174 8660 9' 47 3843 43 3o 4817 53o4 5790 6277 6763 7a5o 77.36 8223 4881 4929 5366 54 1 5 5853 5901 6337 6386 68a3687i 73o8 7357 7794 7842 8279 8327 87648813 934919398 • 9686 9734 9703 9530171 o656 ii4i i6a6 3III 3595 3o8c 4049 4534 5oi8 D'jOJ ■59871 6472 6956 7440 7924 8409 8893 9377 • 9861 953 o345 0838 l3l2 1796 aa8o 0319,0368 07040753 1189! I a38 1674I1723 21593208 3644 369a 3130 3177 36i 3.3662 40984146 4582 463 r 5067 5ii5 555i 56oo 6o366o84 652o656o 70047053 74897537 7973)8021 8457 85o5 8941 15 5g4* 643 6930 74o5 7891 ii4o 1626 2112 2598 3o84 356o 4o55 4541 5027 55ia 8376 84a4 8861 9346 9831 o3i6 0801 1386 1771 3356 3741 3aa6 3710 4195 6483 6969 7454 7939 8910 9395 9880 o365 o85o 1 335 i8ao a3o5 3789 3274 3759 4343 4679 47a8 9425947 9909J9957 0393 o44i 0877 0925 i36i 1844 3338 14 189 3376 09 o3 5i64 5648 61 33 6617 7101 75867634 8070 8554 89809038 0473 o5a2 95a a ♦006 0490 0974 1457 1941 2425 5213 5697 6i8f 6665 7i5o 81 18 860a 9086 9570 oo54 o538 1032 i5o6 1989 a47J 5 6 7 8 9 389213941 437914427 48664914 5401 5888 398914038 4476J4525 4963 5oi2 6423 6o46 6532 7017 75o2 7988 8473 8958 9443 8369 8855 9341 9837 o3i4 0800 1286 177a 2358 2744 1337 1723 3200 269$ 3i8 3667 4 1 52 4638 5 1 24 5609 6095 6143 658o 3715 4201 4687 5172 5658 6472 6958 7445 7931 8417 8004 9J9U 9876 o362 o848 1 334 1820 23o6 2792 33393378 7066 755i 8o36 8521 9007 949a 9928 9977 o4i3o462 08980947 i43a 1917 a4oi 3886 66396677 71 14 80?? 8570 9055 9540 ♦oa5 o5io 3764 4350 4735 5221 5706 6192 4087 4574 5o6o 5547 6o34 7»63 7648 8i33 8619 9104 8952 9430 9925 o4n 0897 i383 1869 2355 2841 3327 38i3 4398 47B4 5269 5755 6240 6726 72n 7607 8182 8667 91 53 o587 1070 i554 2o38 2533 9589 9637 0074 0559 io44 1529 aoi4 '^?? 3983 58425890 6336 6375 83i2 8706 9280 9764 0248 o683 1*67 i65r 3 1 35 2183, 2618I2667I2715 or23 0607 109a 1 577 3063 a 547 3o33 35i6 4ooi 4486 4970 5454 7393 7876 836o 8844 9328 9813 0296 0780 1264 1748 3331 12 3 4 8 Diff. Diir. tc Malt. I 3 ^ 3 147 4 196 5 245 6 294 7 343 8 392 9 44i DiflT. I a 3 4 5 6 7 8 9 LOGARITHMS OF NUMBERS. 48 96 144 19a 340 288 336 384 432 DifT. tc Mult. Num. 8980 81 82 83 84 85 86 87 88 89 8990 9' 9a 93 94 96 98 99 9000 01 02 o3 o4 o5 06 12 3 4 5 6 7 8 9 953 2763 3247 3731 4214 4697 5i8i 5664 90 90 09 10 II la i3 i4 i5 16 17 18 19 ao 21 32 23 24 a5 36 37 38 39 90 3o 3i 32 33 34 35 36 37 38 39 Nam. 6147 663 1 7114 7597 80S0 8563 9046 9529 9540012 0494 j 0977 1 460 1943 2425 3908 3390 3873 4355 4837 2812, 3395 3779^ 4262 4746| 5329 5712 6196 6679 7162 2860 3344 3827 43ii 4794 5277 5761 6244 2908 2957 33933440 3876 3934 43594407 4842 14891 5326 5374 5S09 5857 6292 634 1 672767766824 7210 72597307 764576947742! 812881778225 861 T 9094 ,9577 10060 o543 1025 i5o8 1991 86608708 9143 9191 96259674 0108 0591 1074 i556 oi57 0639 ir22 i6o5 5319536b 580215850 6284 6332 2039 2087 2473 2522 2570 2956,3004 3o52 3438|3487|3535 3921 39694017 44o3 445 1 45oo 4885 4934 4982 7790 8273 8756 9239 9722 0205 0688 1 170 i653 2 1 36 2618 3ioi 3583 4o65 4548 3oo5 3o54 3489 3537 39724021 445645o4 49394987 542 2 '547 1 5906 5954 6389 6437 68726921 6766 7248 773o 8212 8694 9176 # 9657 9550139 0621 1102 1 584 2o65 2547 3028 35io 3991 6814 7296 7778 8260 8742 5416 5898 638o 6862 7344 7826 83o8 8790 922419272 9705I9754 0187J0235 06690717 ii5o 1199 i632 2Il4 2595 3076 3558 4039 4472I4520 4953|5ooi 5434 5483 1680 2162 2643 3i25 36o6 4087 4568 5o5o 553 1 5464 5946 6428 6910 7393 7874 8356 8838 9320 9802 0284 0765 1247 1728 2210 2691 3173 3654 4i35 5o3o 55i2 5994 6477 6959 7441 7923 84o5 8886 9368 9850 o332 o8i3 1295 1776 2258 2739 3221 3702 4i83 59646012,6060 6445,6493,6541 5916 6397 6878 7358 740717455 7839 788717935 8320 8368 84i6 8801 46I6I4665 5o98|5i46 557915627 - ' 6108 9282 88498897 9330 9378 9762I98109858 956 0243 10291 0339 0723 0771 !o8i9 1204 1252 1 3oo 3 1 02 3 1 5o 3 1 99 3585 3634 4069 4 1 17 455214601 5o36,5o84 55i9'5567 56i6 6oo2!6o5i 6099 6486 6534 6582 3682 4166 4649 5i32 7355 7838 8321 8804 9287 9770 74o4 7887 8370 8853 9336 9819 69697017 7452J7500 7065 7549 7935 7983 8o32 84 1 8 8466' 85 1 5 890 1 1 8949 8998 9384'9432'948i 9867 1 99 1 5 9963 0253 o3oi|o35o|o398jo446 0784083 2 1 088 1 10929 I267ii3i5|i363ii4i2 i749;i79B!i846{i894 2232 228012329^2377 0736 I219 I7OI 2184 2715 3197 368o 4162 4644 5i27 5609 6091 6573 7o55 7537 8019 85oi 8983 9465 9946 0428 0910 1 391 1873 6589 6926 6974 1 702 2 7070 ' ' "" 75o3|755i 79848032 8464 8512 8945.8993 9426 9474 9906,9954 o387 0435 108680916 1 1 348 1396 2666 3i49 363 1 4ii4 4596 5078 556i 6043 6525 7007 7489 7971 8453 8935 9416 9898 o38o 0862 1 343 1825 23o6 2788 3269 3750 423 1 47i3 5194 5675 6i56;62o4 2763 28 II 12859 3245 3728 4210 4692 5175 5657 6139 6621 7io3 7585 3?94i3342 377613824 4258 4741 4307 4789 522315271 57o5|5753 6187I6236 66696718 71 52 7200 7634 8067 81 15 8549|8597 903 1 1 9079 7682 8i64 8646 9127 9513,956119609 9995'»o43,oo9i o476io524|0573 0958 1439 1921 2354 2402 245 1 ioo6|io54 i488|i536 1969 2017 2836 33i7 3798 4280 4761 5242 5723 2499 2980 2884! 2932 3365|34i3J346i 3846 3895,3943 4328I4376 4424 48o9!4857 4905 5290 5338,5386 577 1 1 58 1 9 5867 6253 63oo 6348 6637 7118 7599 8080 856o 9041 9522 ♦oo3 o483 0964 1 444 66856733,67816829 7166721417262J7310 7647 7695 7743,7791 8128,8176,82248272 860986578705,8753 9089 9137 9185 0234 9570961896669714 oo5i 00990147,0^95 o53i 0579' 0627 0675 1012 106011108; II 56 1492 1 540 1 588 1 636 137 DiX 12 3 4 Diff. & Molt. I 3 3 4 5 6 7 8 9 1 47 196 245 294 343 392 441 I 48 2 96 3 i44 4 19a 5 240 6 288 7 336 8 384 9 432 II 6 7 8 9 I Di^. Diff. Sc Mult. 18 u 138 LOGABITHMS OF NUMB BBS. Nam. 0040 4i 43 45 46 47 48 49 90 5o 5 1 5a •#4 55 57 58 59 9060 61. §2 63 64 65 66 67 68 69 90' 70 71 71 73 74 75 76 77 70 79 0080 81 8a 83 84 85 86 87 88 89 9090 91 9? 9 o^ ?^ 96 97 98 99 01234 56789 l«li684 2i65 3645 3ia5 4o86 4566 5o46 55a6 6006 173a 1780 a2i3 2a6i 2693 2741 3173 3221 3654 370a 4i 34 4182 46144662 5094 5i4a 5574 5622 60546102 1828 2309 2789 3269 3750 423() !47io 5190 '5670 '61 5o 1876 2357 2837 33i7 3798 4278 4758 5238 5718 6198 6486 6966 7445 7925 84o5 8885 9364 • 98441 957 o323 o8o3 1282 1761 3241 2720 3199 3678 4i57 4636 5ii5 5594 6552 7o3o 7509 7988 8466 89fj 9423 ♦ 9902 958 o38o o858 i337 i8i5 2293 2771 i33oIi378 1426 18091857 1905 2289 23 361 a 384 2768 2816 2864 324732953343 3726 '37741382 2 42o5 4253430 1 46844732 5i63 52ii 564215690 4780 52.59 5738 6121I61696217 42o5 4683 5i6 8027 85o5 89B2 9459 9937 6534 6582'663o 6678 70147062J71107158 7493754175897637 79738021 80^)98117 8453 85oi 854#597 8933 898o'9028 9076 94129460,95089556 9892 9940 9988 ♦t>35 o37i 04190467 o5i 5 0851,0898509460994 1474 1953 2432 IV* 3391 3870 4349 4828 53o7 5786 6a64 6743 7222 7701 8179 8658 9i36 9615 0093 0571 io5o 1 528 2006 2484 2962 3441 3919 4396 4874 5352 583o 63o8 6785 7263 774 1 8218 8695 9i-»3 9650 0128 6600,6647 70787126 7557 7605 8o36 8o83 85 1 4 8562 8993 9041 9471 9519 99509997 04280476 6695 7174 7653 8i3i 8610 9088 9567 ♦045 o524 09060954 3a49 37^7 3775 1 385 1 863 2341 3819 3397 1 432 1911 2380 1002 1 480 1958 2437 4253 473 1 5209 5639 5687 61 17 6164 6594 6642 7072 7'30 7549 7597 2867 291 5 3345 3393 38233871 43014349 47794827 525715304 5734; 5782 6212,6260 66906738 7i67|72i5 7645 7693 8075 8552 90 3c 9507 ggS4 8123 8600 9077 9555 8170 8648 9125 9603 ♦o32 0080 1925 1973 34o5 2453 2885 a933 3365 34 1 3 38463894 43a64374 4806 4854 5a865334 57665814 6a466a94 I 67266774 72067254 76857733 8i65 82i3 8645,8693 9124917* 9604 9652 oo8ioi3i o563 061 1 1042! 1090 1 522 1570 200 1 1 2049 2528 3oo7 3486 396*> 4445 4924 5402 588 1 2021 a5oi 2981 346i 394a 44aa 490a 5382 5862 2o69|ai!7 6342 6J90 6870 7349 2480 2959 3439 3oi8 4>97 4876 5355 5833 63 12 6791 7270 7748 8227 8706 9184 9663 oi4i 0619 1098 1576 2o54 2532 3oio 3488 3966 4444 4922 5400 5878 6355 6833 73 1 1 7788 636(> 6839 73i8 7796 8275 8753 9232 9710 0189 0667 682a 73oa 7781 8261 8741 9220 9700 0179' 0659 1 1 38 1618 2097 3576 3o55 3534 401 3 4492 497 « 545o 5929 64o8 6887 7366 7844 8323 2597 3o77 3558 4o38 4518 4998 5478 5958 6438 6018 7397 7829I7877 a 549 3029 3509 3990 4470 4950 543o 5910 83o9 8357 87898837 9266 9748 10227 0707 ii86 i665 2145 2624 3to3 3582 4o6i 4540 5oi9 9316 9796 0375 0755 1334 1713 2193 2672 3t5i 363o 4109 4588 5067 5498 5546 59776025 645665o4 1145 1624 2102 258o 3o58 3536 4oi4 4492 4970 5448 5935 ,64o3 6881 73 5B 7836 8266 8743 9221 9698 or75 8801 9280 9758 0237 0715 1 193 1672 2i5o 3628 3io6 3584 4062 4540 5oi8 5495 5973 645 1 6929 74<)6 7884 6935 74 1 3 7892 8371 8840 9328 9806 0284 0763 1 341 1719 3198 2676 3i54 3632 4iio 4588 5o65 5543 602 1 83i4 8791 9268 9746 0223 64996 6976 7454 7932 836i 8839 9316 9793 0271 Diff. 48 6983 7461 7940 8418 8897 9376 9854 o332 0811 1289 1767 2245 2723 3302 368o 4i57 4635 5n3 5591 6069 "547 7024 75o2 7979 8409 8457 8886 8934 9364 94 1 "i 9841 9889 o3i8o366 12 3 4 5 6 7 8 9 Diir.&Mult. I a '^ 3 i47 4 196 5 245 6 394 7 343 8 39a 9 44i DiflT. I 48 2 96 3 144 4 192 5 240 6 a88 7 336 8 384 9 432 DifT. k. Malt. LOGARITHMS OF NUMBERS 139 Num. 9100 01 oa o3 o4 o5 06 07 08 09 91 10 II 12 i3 i4 i5 16 17 18 «9 91 20 2f 22 23 24 25 26 27 28 29 91 3o 3i 32 33 34 35 36 37 38 39 91 4o 4i 4a 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 59 Num. 91 ©390414 0891 1 368 1845 2322 2800 3276 3753 42 3o 4707 5i84 566o 6137 66i4 7090 7567 8043 8520 8996 9472 # 9948 9600435 0901 1 377 i853 2329 2805 3281 3756 4232 4708 5r83 12 3 4 5 6 7 8 9 0843 l32I 1798 2275 2752 0462 0939 i4i6 1893 2370 2847 3324 38oi 4278 4755 523i 57r)8 6i85 666 r 7i38 7614 8091 8567 9044 9520 9996 0472 0948 1424 1900 2376 2862 3328 38o4 4280 4755 523i 5659 5707 6i35 6610 7086 756i 8o36 85i2 8987 9462 * 9937 901 o4i2 0887 1 362 i837 a3i2 2787 3262 3736 4211 4686 5i6o 5635 6109 6583 7o58 7532 8006 848 1 6182 6658 o5o9 0987 1 464 1941 2418 2895 3372 3849 4326 4802 5279 5756 6232 6709 7186 7663 8f38 861 5 9091 9567 ♦044 o52o 0996 1472 1948 2424 2900 3376 385 1 4327 48o3 5279 5754 6230 6705 o557 io34 i5ii 1989 2466 2943 3420 3896 4373 485o 5327 58o3 6280' 6757 7233 7710 8186 8662 9139 9615 0091 0567 io44 1 520 1996 2472 2947 3423 3899 4375 485o 5326 58o2 6277 6753 o6o5 1082 1559 2o36 25i3 2990 3467 3944 4421 4898 5374 585 1 6328 6804 7281 7757 8234 8710 9186 9663 oi3 06 1091 1567 2o43 't 7133 7608 8084 8559 9034 9509 9985 o46o 0935 i4io 1 885 2359 2834 3309 3784 4258 4733 5208 5682 61 57 663 1 7105 758o 8o54 8538 7181 7656 8i3i 8607 9082 9557 ♦o32 o5o7 0982 1457 1932 2407 2882 3357 383 1 43o6 4780 5255 5730 6204 6678 7i53 7627 8101 8575 2510 2995 3471 3947 4422 4898 5374 5849 6325 6800 7228 7276 7704 8179 8654 9129 9605 0080 o555 io3o i5o5 1980 2454 2929 3404 775 1 8226 8702 9177 9652 0127 0602 1077 i552 2027 25o2 2977 345 1 3879 3926 4353 4828 53o2 5777 6251 6726 7200 7674 8149 8623 44oi 4875 535o 5824 6299 6773 7248 7722 8196 8670 o653 ii3o 1607 2084 256i 3o38 35i5 3992 4469 4945 5422 5899 6375 6852 7328 7805 8281 8758 9234 9710 0186 o663 1 139 i6i5 2091 2567 3o43 35i8 3994 4470 4946 5421 5897 6372 6848 7323 7799 8274 8749 9224 9700 0175 o65o II25 1600 3075 2549 3o24 3499 3974 4448 4923 5397 5872 6346 6821 7295 7769 8243 8718 0700 1 177 i655 2l32 2609 3o86 3563 4039 45i6 4993 5470 5946 6423 6900 7376 7853 8329 88o5 9382 9758 0234 0710 1 186 1663 2i38 2614 3090 3566 4042 4517 4993 5469 5944 6420 6895 6943 0748 1225 1702 2179 2656 3i33 36io 4087 4564 5o4i 5517 5994 6471 6947 7424 7900 8377 8853 9329 9806 0282 0758 1234 1710 2186 2662 3i38 36i4 4089 4565 0796 1273 1750 2227 2704 3i8i 3658 4i35 4612 5o88 5565 6042 65i8 6995 7471 7948 8424 8901 9377 9853 0329 o8o5 1282 1758 2234 2709 3i85 366i 4i37 46i3 5o4i 55i6 5992 6467 7371 7846 8321 8797 9272 9747 0222 0697 1172 1647 2122 2597 3072 3546 402I 5o88 5564 6o3 65 1 6990 7418 7894 8369 8844 9319 9795 0270 0745 1220 1695 2170 2644 3119 3594 4009 3229 3706 4i83 4659 5i36 56i3 6089 6566 7043 7519 7996 8472 8948 9435 9901 o377 o853 1329 i8o5 2281 2757 3233 3709 4i84 4660 5i36 56ii 6087 6563 7o38 Diff. 7466 7941 84i6 8892 9867 9842 o3i7 0792 1267 1742 2217 2692 3167 75i3 7989 8464 8989 9414 9890 o365 o84o i3i5 1790 2264 2739 33i4 4496 4543 4970,5018 5445 1 5492 59195967 6394,6441 6868 7342 7817 8391 87658812 6916 7390 7864 8338 364 1 3689 4ii6,4i63 4591 4638 5o65,5ii3 5540,5587 60146062 6489'6536 6963 7010 74377485 791217959 8386,8433 886o'8907 DiflT. & Mult I a 3 4 5 6 7 8 12 3 4 6 7 8 Diff. 48 96 i44 192 240 288 336 384 432 I 47 a 94 3 i4i 4 188 5 335 6 282 7 329 8 376 9 423 Diif. Sc Mult. :• n £40 LOGAEiTHMS OF NHMBERS Noiii. 961 8955 • 9Qu3 962 0J77 o85i i3a5 1799 2272 274s 3220 12 3 4 5 6 7 8 9 Qj87l9334i938i 5761981)819855 01 4o 1088 liiiiii* j09'' 4167 464o 5ii4 5587 6061 6534 7007 7481 7954 8427 8900 9373 • 9846 963o3i9 0792 1264 1737 2210 2683 3i55 3628 4100 4573 5o45 55i7 5990 6462 6934 7406 9666 97 1 3 3741 3788 4214 4262 4688 4735 5i6i 5209 5635 5682 6108 658 1 7o55 7528 8001 8474 8947 9420 9893 o366 61 55 6(>29 7ioi 7575 8o48 8521 8994 9467 9940 041 3 3835 4309 4783 5256 5729 6203 6676 7149 7622 8096 8569 9042 95i5 9988 o46i 0839 l3l2 1784 2257 2730 3202 3675 4147 4620 5092 5565 6o37 65o9 6981 7453 3883 4356 483o 53o3 5777 6250 6723 7197 7670 8143 8616 9089 9562 ♦o35 o5o8 0187 0661 II 35 1600 2o83 '?557 29S3 3(>3<) 3457 35o4 0886 1 359 i832 23o4 2777 325o 3722 4195 4667 5i39 56i2 6084 6556 7028 7878 7925 835ol839& 8822I8869 9294,9341 • 9766190 1 J 964 0238 0285 07100757 1181 1229 1 653 1 1 70a 21252172 0933 i4o6 1879 2352 2824 3297 3709 4242 47»4 5187 5659 6i3i 6604 7076 0981 1454 1926 2399 2872 3344 3817 4289 4762 5234 5706 6179 6()5i 7123 7595 75oi 7548 7973 8020 B067 8445 B492 8539 891 718964 9<^>n 44o4 4877 535 1 58i4 6297 6771 7244 7717 8190 8663 91 36 02 3 3 0700 1 1 83 1 656 2i3o 2604 3078 355i 4025 0282 0756 i23o 1704 2178 265 1 3i25 5398 5871 6345 6818 77^*4 8238 871 9.84 o32< o8o5 1277 1751 2225 2699 3172 Diff. 3599 3646 3978 445114498 4925 4972 -"^ 5445 5919 6392 6865 7339 7812 8285 9609 9<)57 0082 o555 1028 i5oi 1974 oi3o 0602 1075 1 548 2021 244612493 2919 3391 3864 4336 4809 5281 5753 6226 6698 7170 764a 8758 9231 9704 0177 o65o II23 1595 2c»68 254 1 4072 4546 5019 5493 5966 643o 6913 7386 7859 8332 88o5 9278 9751 0224 0697 1170 1643 2Il5 3588 4120 4593 5o()7 5540 6oi3 2966 3439 391 1 4384 4856 5328 58oi 6273 6745 7217 7689 3oi3 3o6i 6487 69(x) 7433 838o 8853 9326 9799 0271 0744 1217 1690 2163 2635 3io8 9389J9436 98609908 o332o379 o8o4!o85i 127611323 17471795 2219 2266 2596 2643! 2691 3o68 3ii 53162 3539 35863634, 4oiij4o58 4io5 448245294576 4953 5ooi 5o48 545»5 547'J»55i9 5896 5943} 5990 6367 64 1 46461 6838 6885 6932 2738 3209 3681 !4i52 4623 9483 9955 0427 1)898 1370 1842 23i3 2785 3256 3728 4199 4671 5095 5566 :6o37 |65o8 6979 5i42 56i3 6084 6555 7027 8u48i6i 8586 8634 9o58|9io5 953019577 ♦0020049 o474|052i 09460993 i4i7|'464 18891936 a36i a4o8 a832 2879 33o4 335i 3775 3822 4246;4294 47184705 5i89'5236 566015707 61 3i 6179 66o3665o 707417131 3486 3958 443 1 4903 5376 5848 6390 6792 7265 7737 8209 8^:8 1 9153 9625 0096 o568 io4o l5l2 1983 2455 2926 3398 3869 4341 4812 3533 4006 4478 4951 5423 5895 6367 684o 73i2 7784' 358o 4o53 4525 4998 5470 5942 64e5 6887 7359 783 1 8256i83o3 872818775 92009247 9672I9719 0144.019! o6i5o663 1087I1134 15591606 2o3o| 2078 25o2|2549 2974 3o2 1 3445 3492 39163904 43884435 48594906 52835330^5378 5755,5802 5849 6226,6*73 6320 66076744,679! 7l08l72l5'7262 12 3 4 5 6 7 8 9 Dili'. &. Mult. I 2 3 4 5 6 7 8 9 Diff. 48 96 144 192 240 288 336 384 432 1 • I LOGARITHMS OF NUMBEES I 47 2 94 3 l4! 4 188 5 235 6 282 7 329 8 376 9 423 Diff. & Mult. Nam. 9220 21 22 23 24 25 26 27 38 29 92 3o 3i 32 33 34 35 ' 36 37 38 39 9240 4i 42 43 44 - 45 46 47 48 49 9a 5o 5i 52 53 54 55 56 57 58 59 9260 61 62 63 64 65 66 67 68 69 92 70 71 72 73 74 75 76 77 78 79 Num. 12 3 4 5 6 7 8 9 964 73091 7780 825i 8722 9193 • 9664 965 01 35 o6o5 1076 1 546 7356 7827 8298 8769 9240 971 1 0182 o652 1 1 23 1594 74o3 7874 8345 8816 9287 9758 0229 0699 1170 i64i 745 1 7922 8392 8863 9334 9805 0276 0746 1217 1688 2017 2488 2958 3428 3899 4369 4839 5309 5780 6250 6720 7190 7660 8i3o 8599 2064 2535 3oo5 3475 3946 44 16 4886 5356 5827 6297 6767 7237 7707 8177 8646 7498 7969 844o 8910 >38i 9852 o323 0793 1264 1735 2111 2582 3o52 3522 3993 4463 4933 54o3 5874 6344 68i4 7284 7754 8224 8693 2i58 2629 3099 3569 4o4o 45io 4980 545o ir 6391 9069 ,^ 9539 966000 o478| 0948 i4i7 1887 2356 2826 3295 3764 4233 47o3 5172 564i 9116 9586 oo56 o525 0995 i464 1934 24o3 2873 3342 38ii 4280 4750 5219 5688 a2o5 2676 3i46 36i7 4087 4557 5027 5497 5968 6438 686 r 733 1 7801 8270 8740 9163 9633 oio3j 0572 1042 i5ii 1981 2450 2919 3389 3858 4327 479^ 5266 5735 6110 6579 7048 7517 7985 8454 8923 9392 * 9860 967 0329 0797 1266 1734 2203 2671 3i39 3607 4076 4544 5oi2 6i57 6626 7095 7564 8o32 9210 9680 ot49 0619 1089 1 558 2028 2497 2966 3436 3905 4374 4843 53 1 2 5782 6908 7378 7848 83i7 8787 9257 9727 0196 0666 ii36 i6o5 2075 2544 3oi3 3483 3952 4421 4890 5359 5828 6204 6673 7142 7610 8079 85oi 8970 9438 9907 0376 o844 i3i3 1781 2249 2718 3i86 3654 4l22 4590 5o59 8548 9017 9485 9954 0423 089! 1359 1828 2296 2765 62 5 1 6720 7188 7657 8126 8595 9<)64 9532 ♦001 0469 0938 i4o6 1875 2343 2811 3233 3701 4169 4637 5!o5 6297 6766 7235 7704 8173 8642 9110 9570 oo48 o5i6 0985 1453 1922 2390 2858 7545 8016 8487 8958 9428 9899 0370 084 1 i3ii 1782 2252 2723 3193 3664 4i34 46o4 5074 5545 6oi5 6485 6955 7425 7895 8364 8834 93o4 9774 0243 0713 ii83 i652 2122 2591 3o6o 353o 3999 4468 4937 5406 5875 6344 681 3 7282 7 592 1 7639 7686 8(^3 81 10:81 57 8534 858! 18628 9005 9475 9946 0417 0888 i358 1829 9052 9099 952319570 9993 ♦o4o o464o5ii 09350982 i4o5 1452 2299 2770 3240 3711 4181 1876 2346 2817 3287 3758 4228 1923 2393 2864 3334 38o5 4275 7733 8204 8675 9146 9617 0087 o558 1029 1499 1970 2440 291 1 338 1 3852 4322 465146984745 5i2i 5i68 52i5 5592 5639 5686 6062 6109 61 56 653265796626 7002 7472 7942 84ii 8881 9351 9821 0290 0760 123o 2168 2638 3i07 3577 7049 7519 7989 8458 8928 9398 9868 ()337 0807 1276 1746 22l5 2685 3i54 3623 4o46 45i5 4984 5453 7096 7566 8o36 85o5 8975 9445 99' 5 o384 o854 i323 1793 2262 2732 3201 3670 4093 4562 5o3i 55oo 6391 6860 7329 7751I7798 8220 8267 3280 3326 3748 4216 4684 5i52 3795 4263 473 1 5199 8689 9157 9626 0095 o563 io32 i5oo 1968 2437 2905 3373 384i 43io 4778 5246 4792 5262 5733 6203 6673 7143 7613 8o83 8552 9022 9492 9962 043 1 0901 1370 i84o 2309 2779 3248 3717 5922 5969 4i4o 4609 5078 5547 6016 6485 6954 7423 6438 6907 7376 784517892 83i4 836o 8735 87821882^ 9204 925119291 9673 9720J9767 oi4i 0188I0235 0610 1078 i547 20l5 2484 2952 3420 3888 4356 4825 5293 0657 0704 4187 4656 5i25 5594 6o63 6532 7001 7470 7939 8407 8876 9345 9813 0282 0750 1125 1594 2062 253o 2999 3467 3935 44o3 4871 1172 i64i 2109 2577 3o46 35i4 3982 445o 49' 8 53395386 141 Diff. 1219 1687 2i56 2624 3092 356i 4029 4497 4965 5433 3 4 5 6 7 8 9 Diff. & Mult. I 2 3 47 Diff. 47 94 i4i 4 188 5 235 6 282 7 329 8 376 9 423 I 46 2 3 i38 4 1 84 5 23o 6 276 7 322 8 368 9 4i4 Diff. & Mult. li It 142 LOGARITHMS OF NUMBERS. Hum. 0280 Bi 83 83 o4 85 m 87 88 89 92 90 91 93 94 MmJCZ. n 98 99 9300 01 02 o3 o4 oS 06 07 08 09 93 10 II 13 1 3 •■•if i5 16 17 19 93 ao ai a 2 23 36 27 a8 29 9330 3i 32 34 35 36 37, 38 39 01234 56789 tMJT 5480 5948 64i6 6884 7351 552715573 59956041 64626509 69306977 73987445 781978667913 828783348380 8801 8848 92699316 9736J9783 8754 9222 • 9690 968 01 57 0625 .1092 1559 2027 0204 025 1 0671 0718 1 i3o [i85 1606 1 653 2073 2 1 20 562015667 60886135 6556 7024 7492 66o3 7071 7538 79598006 84278474 8895^8942 9362J9409 9880 9877 0297 'O765 1 23a i7cx> 2167 • 9963 969 o43o 089(1 1 362 1829 2395 2761 3227 3693 4159 462§ 5557 6023 6488 6954 7420 7885 835i 8816 9282 • 9747 970 oa 1 3 0678 1143 1608 2074 7210 7677 8144 8610 9«77 9543 ♦010 0476 0943 1409 1875 2341 28t>8 3274 3740 4206 4672 5i38 56o3 6069 6535 7001 7466 7932 8397 8863 93a8 9794 0259 0724 1190 1 655 2120 2539 2585 3oo4l3o5o o344 0812 1279 1746 22l4 2681 3i48 4082 4549 5oi6 5483 5950 64i7 6884 7257 73o4 735o 779477707817 819082378284 8657 8704 8750 91 24 9170 9217 959096379683 oo57 0io3oi5o o523 05700616 0989 io36 io83 1 456 i5o2 1549 1922 1968 201 5 2388 2435 2481 2854 2901 2947 3320 3367 34 1 3 3786 3833 388o 4252 4299 4346 4718 4765 48i I 5i84 523i 5277 565o 5697 5743 61166162 6209 6582 6628 6675 704770947140 751375597606 7978 8025 8072 844484918537 891089569003 9375 9422 9468 984098879033 o3o6 o352 0399 0771 08180864 1236 1283 1329 170T 1748 1794 2167 22l3 2260 2632 2678 2725 3097 3i43 3190 57 1 4i 5761 61826228 66506696 7117 7585 8o53 8521 8988 7 '64 763a 8100 8567 9035 94569503 9923 9970 0391 o858 1326 1793 2260 2728 3195 3662 4129 4596 5o63 553c; 5997 6464 6930 7397 7864 833o 8797 9264 9730 0196 o663 1129 1595 2062 2528 2994 3460 3926 4392 4858 5324 5790 6256 6721 7187 7653 81 18 8584 o438 0905 1372 1840 23o7 2774 3241 3709 4170 4643 5iio 5577 6043 65 10 6977 7444 7910 8377 8844 9310 9777 0243 0709 1170 1642 2108 2574 3o4i 35o7 3973 4439 4905 5371 5836 63o2 6768 7234 863o 90499096 95 1 5 9561 9980 4027 0445 0492 091 1 0957 1376 i84i 23o6 1422 1888 2353 2771 2818 3236*3283 58o7 6275 6743 7211 7679 8i46 8614 9082 9549 ♦or o484 0952 1419 1886 2354 2821 3288 3755 4222 4689 5i56 5623 6o9f) 6557 7024 749*1 7957 8424 88 5854 6322 6790 7258 7726 8193 8661 0064 o53i 1 466 1933 2400 2868 3335 38o2 4269 4736 52o3 5670 6137 6604 90 57 93 9823 (>29() 0756 1222 1689 2i55 2621 3087 3553 4019 4485 495 5417 5883 6349 6814 7280 7746 821 1 8677 9«42 9608 0073 o538 1004 1469 1934 8?4 3329 5901 6369 6837 73o5 7772 8240 8708 9175 9643 Olio 0578 1045 i5i3 1980 2447 2914 3382 3849 43i6 4783 52 5o 5717 6184 66 5o 70701 7 1 17 7537I7584 8004 8o5o 8470 8937 94o4 9870 o336 o8o3 1269 1735 2202 2668 3i34 36oo 4066 4532 4, 5 6861 7327 7792 8258 8723 9189 9654 0120 o585 io5o i5i5 1981 24rf6 291 1 3376 85i7 8984 9450 o383 0849 i3i6 178a 2248 2714 3i8o 3647 4ii3 4578 5o44 55io 5976 6442 6908 7J73 7839 83o4 8770 9235 9701 0166 o63i 1097 1 562 2027 2492 2957 3422 01234 56789 Diff. Diif. & Molt. I 47 2 94 3 i4i 4 188 5 235 6 282 7 329 376 8 9 4a3 Diff. I 46 2 3 .^ 4 1 84 5 23o 6 276 7 322 8 368 9 4i4 Diflf. & Mult. LOGARITHMS OF NUMBERS 143 Num. 9340 4i 42 43 44 45 46 47 48 49 93 5o 5i 52 53 54 55 56 57 58 59 9360 6i 62 63 64 65 66 67 68 69 9370 71 72 73 74 75 76 77 78 79 9380 81 82 83 84 85 86 87 88 89 9390 91 9? 93 94 96 9Z 98 99 Num. 12 3 4 5 6 7 8 9 97034693515 393413980 4399I4445 4863 5328 5793 6258 m 6722 7187 7652 8116 858 r 9045 9509 * 9974 971 o438 0902 1 366 i83o 2294 2758 3222 3686 4i5o 46r4 5078 5542 •6oo5 6469 6932 7396 7859 832 8786 • 9249 # 97i3 9720176 0639 1 102 1 565 2028 2491 2954 3417 388o 4343 48o5 5268 573 1 6193 6656 7118 758 1 8043 910 375 3562 4027 4492 4956 5421 584o5886 63o4635i 676q'68i5 723 7698 8i63 8627 9091 9556 ♦020 7280 7745 8209 8673 91 38 9602 0067 o484o53i 0940 0995 !4i3 1877 36o8[3655 4073 4 1 20 4538 5oo3 5468 5o32 6397 6862 7326 7791 8255 8720 9'84 4585 5o49 55i4 5979 6444 6008 7373 7837 83o2 8766 9231 9649 9695 i45o 1923 2341 2387 2805 3269 3733 4197 4660 5i24 5588 6o52 65 1 5 6979 285i 33i5 3779 4243 4707 5l7T 5634 6098 6562 7025 7442 7489 79067952 83698415 8833 9296 9759 0222 o685 1 149 1612 2075 2538 3ooi 3463 3926 4389 4852 53i4 5777 6240 6702 7i65 7627 8089 8879 9342 9805 0269 0732 IK 16^8 oii3 o577 io4i i5o6 1970 2434 2898 3362 3826 428 475 5217 568 1 6i44 6608 7071 7535 7998 8462 8925 9388 9852 o3i5 0778 1241 1704 85o6|8552 89689014 94309476 » 98929938 973 o354 p4oi o8i6'o863 2121 2584 3o47 35io 3973 4435 4898 536 1 5823 6286 6748 7211 7673 8i36 8598 9060 9523 9985 0447 0909 0109 0624 1088 i552 2016 2480 2944 3408 3872 4336 4800 5263 5727 6191 6654 7118 758 1 8045 85o8 8972 9435 9898 o36i 0824 1288 1751 2167 263o 3093 3556 4019 4482 4944 5407 5870 6332 6795 7257 7720 8182 8644 9107 9569 ♦o3i 0^93 0955 22l4 2677 3i39 36o2 4o65 4528 4991 5453 5916 6378 684i 73o3 7766 8228 8690 9153 9615 0077 0539 1001 3701 4i66 463 1 5096 556i 6025 6490 6955 7419 7884 8348 881 3 9277 9742 0206 0670 ii34 1598 2062 2526 IT4 3 4 4846 53io 5773 6237 6701 7164 7628 80 85 9018 9481 9944 o4o8 0871 1 334 1797 2260 2723 3i86 3649 4iii 4574 5o37 55oo 5962 6425 6887 735o 7812 8274 8737 9199 9661 OT23 o585 io48 3748 42x3 4678 5i42 5607 6072 6537 7001 7466 7930 8395 8859 9324 9788 0252 0716 II81 1645 2109 2573 3o37 35oi 3965 4429 4892 379413841 13887 42594306I4352 472414771 '481 7 518952355282 5654 5700' 5747 6118 6583 7048 75i2 7977 844i 8906 9370 9834 0299 0763 1227 1691 )5 2619 3o83 3547 4oii 4475 4939 6165,6211 6629 6676 709417141 7559 7605 8023 8070 8488 8952 9416 8534 8990 9463 9881 9927 03450391 5356 5820 6283 6747 7211 7674 8i37 8601 9064 9527 0917 i38o 1843 23o6 2769 3232 3695 41 58 4620 5o83 5546 6008 6471 54o2 5866 633o 6793 7257 7720 8184 8647 91 1 1 9574 ♦637 o5oo 0963 1426 1889 2352 2815 3278 3741 4204 4667 5129 5592 6o55 65i7 0809 1273 1738 2202 2666 3i3o 3594 4o57 4521 4985 5449 5912 6376 o856 1 320 1784 2248 2712 3176 364o 4ro4 4568 5o3i 5495 5959 6422 Diff. 68406886 73o3 7350 7767 8230 8694 9157 9620 oo83 o547 lOIO 1473 1936 2399 2862 3325 3787 425o 7813 8276 8740 9203 9666 oi3o 0593 io56 i5i9 1982 2445 2908 3371 3834 4296 6933 7396 7858 8321 8783 9245 9707 0170 o632 1094 6980 7442 7905 47 1 3 4759 5176I5222 5638 5685 6ioij6i47 6563, 6610 7026 7488 795 r 8367184 1 3;8459 8829 8875,8922 7072 7535 7997 929 975 0216 0678 ii4o 93389384 980019846 o262'o3o8 07240770 11861232 1 3 4 5 6 7 8 9 Diff. & Mult. I 47 2 94 3 i4i 4 188 5 235 6 282 7 329 8 376 9 423 Diff. I 46 2 3 i38 4 184 5 23o 6 276 7 322 8 368 9 4i4 Diff. & Mult. «i fl n i \l ( 144 LOGARITHMS OF NUMBERS. Num. 9400 oi Ol o3 o4 oS 06 07 '08 09 94 10 II i3 i4 i5 16 17 18 19 9420 21 33 33 34 35 36 27 38 39 94 3o 3i 33 33 34 35 M 37 38 39 4i 4a 43 44 4S 47 48 49 o45o 5i 52 53 54 55 56 57 58 59 Nam. 12 3 4 973 1379 1741 3303 a664 3i36 3588 4oSo i3'j5 1787 3349 3711 3172 3634 4oc 45 1 1 4558 4973 5019 54355481 1371 1417 1 833 1879 3395 3737 3341 38o3 33193265 368o 4 1 42 46f:»4 3727 4i88 465o 5o65i5ii2 552715573 1 463 1925 2387 2849 33ii 3773 4234 4696 5i58 5619 5896 594? 598916035 6081 6358 64o4 645(.',649(') 6542 6oiil6938 7cx»4 7373;74i9|7465 7834,788017926 6819 7281 7742 .6865 7327 7788 83o3i8249 86648711 9126 9172 • 958719633' 974 oo48 0094 o5o9 0970 i43i 8295 8757 9218 9679 01 4o o555o6oi 1016 1062 1 477 i5v3 1802 iq38 1984 335323992445 I' I 2860! 2006 32-f4i332o 3367 834218388 88o3|8849 ! 92641 93 10 ,9725'977i oi86:0232 0647 0693 !io8!n54 1569,1615 20302076 3491 (537 3735 3781 4196 4656 5ii7 5577 6o38 6498 6959 7419 7879 834o 88oc: 9260 # 9720 9750180 0640 1 100 i56o ao2o 3479 3o39 3399 3858 43i8 4778 5337 5697 6i56 66i5 7075 7534 7993 8453 4242 4702 5i63 5623 6084 6544 7oo5 7465 7925 8386 8846 9306 9766 0226 0686 1 146 1606 2066 2525 2985 3445 3904 4364 4824 3827 4288 4748 295i 2998 34i3,345y 3873 3919 433414380 479514841 52o9 5255|53oi 5670571615762 6r3o|6f76|6222 6590 663616683 705 1 7097 75 1 1 7557 7603 7971 80178063 8432 8478 8524 8892; 8938 8984 9352j 9398 9444 9813 0272 0733 1 192 i652 9858 o3i8 0778 1238 1698 2II3 3l58 2571 2617 3o3ij3o77 34913537 39503996 44 10 4456 45o3 7143 9904 o364 0824 1384 1744 3204 2663 3i23 3583 4042 487049154961 5283532953755421 5743,5788 5834|588o 620216248 6294 634o 6661 7121 7580 67076753 7166 72 1 2 76267672 8o39'8o85 8f3T 849618544 8590 7718 8177 8636 D i5io 1972 3433 2895 33^7 3819 4281 4742 52o4 5665 6137 6588 7o5o 75ii 7973 8434 8895 9356 9817 0379 0740 I30i 1661 2122 2583 3o44 35o5 3963 848o 8941 9403 9864 o325 602 1 1648 2064 2110 2526 2988 3449 3911 4373 4835 5296 57^8 6219 7142 76^14 8oi9[8o65 8526 8987 9449 9?'« 0371 0786 1247 1708 2l6« 26^*9 3090 355 1 4on 4426 1^72 488- '4933 5347 53 o832 0878 i 293 1 339 17M >8oo 2215 2261 2675 272 1 3i363i82 35973643 4o58 4io4 45t8]4564 f979 ,5o25 58o8 6268 6729 7189 7649 8109 8570 9o3o 9490 9950 o4io 0870 i33o 1790 335© 2709 3169 3629 4088 4548 5oo7 5467 5926 6386 6845 73o4 7763 8223 8682 2572 3o34 3496 3957 4419 4881 5342 58o4 6265 6727 7188 7650 8111 8572 9033 9956 o4i7 6 7 8 9 7556 2018 2480 2941 34o3 3865 4327 4788 52 5o 5712 6173 6635 71196 7557 1604 3i56 2618 3o8o 3542 4oo4 4465 4927 5389 585o 63 1 3 6773 7234 7696 8157 8618 9080 9541 ♦002 o463 0924 1385 ■ 846 33o7 2768 3 58^4 63i4 6775 7235 7695 8i55 8616 9076 9536 9996 04 56 0916 1376 1 836 2296 3755 32 1 5 3675 4i34 4594 5o53 55i3 5972 6432 6891 7350 7809 8269 8728 5439 Sooo 6j6o 6821 7281 774 1 8201 8662 9122 9582 ♦042 o5o2 0963 1422 1882 234i 2801 3261 3721 4180 464o 5099 5559 6018 6478 ^P 7855 r /or 3403 5946 64o6 6867 7327 7787 8248 8708 9168 9628 0088 o548 1008 i468 1928 2387 3847 33o7 3767 4226 4686 5i45 56o5 6064 3228 3689 4i5o 4610 5071 553 1 5992 6452 6913 7373 7833 8294 8754 9214 9674 01 34 0594 io54 i5i4 1974 3433 3893 3353 38i3 4272 4733 5191 565 1 61 10 6523 6569 6983 7442 7901 83i5|836o 87748820 7030 7488 7947 84o6 8865 01234 56789 Di.r. Difi'.Ac Molt. I 47 3 94 3 i4i 4 188 5 235 6 283 7 329 8 376 9 423 46 DiflT. I 3 3 4 5 6 7 8 46 i38 1 84 23o 376 322 368 4i4 Diff. & Mult. LOGARITHMS OF NUMBERS. Num. 9480 61 62 63 64 65 66 67 68 69 9470 71 72 73 74 75 76 77 78 79 9480 81 82 83 84 85 86 87 88 89 9490 91 94 96 9Z 98 99 9500 01 02 o3 o4 o5 06 07 08 09 95 10 II 12 i3 U i5 16 17 18 19 Num. 12 3 4 5 6 7 8 9 975891118957 9370 9416 # 08299875 976 0288 o334 07470793 1206 i665 2124 2582 3o4i 35oo 3958 4417 4875 5334 5792 625 1 6709 7167 7625 8o83 854 1 9000 9458 1252 I7I1I 2170 2628 3087 9003 9049 9095 9462 95o8|9554 9921 9967 ♦oi3 o38o'o426 0472 o839|o885o93i 1 344 1390 i8o3 1849 2261 23o7 2720 2766 31793225 1298 1757 2216 2674 3i33 35463592 4oo4|4o5o 4463,4509 4921 4967 538o 5838 6296 6755 72 1 3 7671 8129 8587 9045 95o3 5425 5884 6342 6800 7259 7717 # 99159961 97- 0373 o83i 1289 1747 2204 2662 3 1 20 3577 4o35 4492 4950 5407 5864 6322 6779 7236 7693 8i5o 8607 9064 3637 4096 4554 5oi3 5471 5930 6388 6846 73o5 7763 3683 4i42 4600 5o59 55i7 5976 6434 6892 73do 7808 0419 0877 i335 1793 225o 2708 3i65 3623 4o8i 4538 8175 8633 9091 9549 ♦007 o465 0923 i38i 1 838 2296 2754 3211 3669 4126 4584 8221 8679 9137 9595 oo53 8267 8725 9183 9641 0099 o5ii o556 0969 ioi4 1426 1472 1 884 1930 2342 2388 9141 9600 ooSo o5i8 0977 i436 1894 2353 2812 3270 3721 4i8 4646 5io5 5563 6021 648o 6o38 7396 7854 83i2 8770 9229 9686 oi44 0602 1060 i5i8 91879233 9646 9692 oio5oi5i o564!o6io 1023 i48i >4o 9279 9325 9738,9784 oi97|0243 06560701 1069 i527 1986 i9'2445 2858*2904 33i6,3362 iii4 1573 2032 2491 2949 3408 3775,3821 423342794325 4602 4738|4784 05196 5242 5i 56o9]5655 1160 1619 2078 2537 3867 3913 4371 483o 5288 6067 6525 6984 7442 7900 8358 8816 9274 9732 0190 6ii3 6571 7o3o 7488 7946 84o4 8862 9320 9778 0236 o648 1106 1 564 4995 5453 5910 6367 6825 7282 7739 8196 8653 91 10 5o4i 5499 5956 64i3 6870 7327 7785 8242 8699 27 32 3715 4172 463o 5087 5544 6002 6459 6916 7373 783o 8287 8744 1976 2021 2433 2479 2845 33o3 3760 4218 4675 5i33 5590 6047 65o5 6962 7419 7876 8333 8790 289 3349 38o6 4264 4721 5178 5636 6093 655o 7007 5701 6159 6617 7075 7534 7992 845o 8908 9366 9824 0282 5746 6205 6663 7121 7579 8o38 8496 8954 9412 9870 o328 2937 33 38^2 4309 4767 5224 568 1 6139 6596 7o53 06 II 1609 2067 2525 2982 3440 3898 4355 4812 0740 1 197 i655 2ll3 2571 3028 3486 3943 4401 4858 9521 9567 # 9978 978 0435 0892 1 348 i8o5 2262 2718 3175 363 1 ♦024 o48i 0937 1394 i85i 23o7 2764 3221 3677 9 1 56 9201 9247 9613 0069 0526 0983 1 440 4088 4544 5qoi 5457 5913 1897 2353 7810 3266 3723 4179 4636 5092 5548 9658 on 5 0572 1029 i485 1942 2399 2855 33i2 3768 4i34 4590 5o46 55o3 5959I6005 4225 4270 9704 0161 0618 1074 i53i 1988 2444 2901 3358 38t4 7465 7510 7922 7967 8379 8424 8836 8881 9293 9338 9750 9795 4681 5i38 5594 6o5o 4727 5i83 564o 6096 0207 o663 1 1 20 1 577 2o33 2490 2947 34o3 386o 0252 0709 1166 1622 2079 2536 2992 3449; 3905 5270 5727 6184 6642 7099 7556 801 3 8470 8927 9384 9841 0298 0755 1211 1668 53i6 5773 d23o 6687 7145 7602 8059 85i6 8973 9430 0785 1243 1 701 2159 2616 3074 3532 3989 4447 4904 536i 5819 6276 6733 7190 9887 o344 0800 1257 1714 43i6 4773 5229 5685 2125 258i |3o38 3495 3951 145 Diff. 4362 4818 5274 5731 2170 262 3o8 3540 3997 7647 8io5 8562 9019 9476 9932 0389 o846 i3o3 1760 2216 7I2673 4 3129 3586 4o42 4407 4453 48644909 5320' 5366 15776 582215868 6141I6187 6233i6278j6324 4499 4955 54ii 01234 56789 Di.T. & Mult. I 3 3 4 5 6 7 8 9 46 i38 184 23o 376 322 368 4i4 III H I 45 3 3 1I5 4 180 5 335 6 270 7 3i5 8 36o 9 4o5 r Diff. Diff. fc Muh. 19 ■ 146 LOGARITHMS OF NUMBERS . NOIDU 31 aa 34 aS a6 27 3® 99 95^30 33 .33 34 35 36 d7 38 39 9540 4i 43 43 45 4? 4S 49 95 5o 5f 5a 53 54 55 57 58 59 9560 61 63 63 64 65 66 67 66 69 9570 71 72 73 74 75 76 77 78 79 12 3 4 5 6 7 8 9 ©TO 63601 68ao 7382 7738 8194 865o 9106 9562 9790017 0473 64i5 6871 7327 7783 8239838 I i84o 3396 3751 3207 1J002 '4' 18 4573 5o38 5484 j39 6849 73o4 8695 9i5i 9607 oo63 o5i9 0975 i43o 1886 2341 2797 3253 3708 4i63 46i 5074 7759 8214 98ocx>34 o4B8 0943 1J98 i852 33o7 3761 3216 3670 4ia5 4579 5o33 5487 5942 6396 685o 73o4 7758 8212 8666 9573 981 0027 o48i 0934 1 388 i84i 2295 2748 3202 6461 6017 7^73 783 87411 9197 96S3 01 o564 42094 94664 5529 5984 644o 68o5 735o 7805 8260 86698715 91349170 9579 9624 007901 o534 0989 i443 1898 2352 2807 3a6! 3716 4170 4624 S079 «J i.W#tJI853 33o7 3761 42i5 4670 5 1 24 5578 6o32 6486 6941 7395 7849 83oa 8756 9210 9664 0118 0571 1025 1479 1939 2386 2839 329: 65o6t6552 7008 7464 7030 8376 883a 9288 9744 oaoo o656 nil i567 202 3 2478 2934 3389 3845 43oo 4755 32 1 1 5666 6121 6576 703 1 7486 7941 8306 885 1 9306 9761 0216 0670 ifaS i58o 2o34 2489 45 33o6 385j 43o6 4761 5ii5 5669 6ia3 6577 703 1 7485 5620 6076 653 1 6986 744 « 7850 78^6 8331 8806 9261 9715 0170 o6a5 1080 i534 1989 2443 2898 336a 38o7 4261 47i5 5169 56a4 6078 6532 6986 744o 789^ 8348 8802 9a 56 8393 8847 93oi 016 0617 1070 i5a4 1977 243. 2884 3338 0208 0662 1 116 i569 2023 2476 2930 3383 65o8 7054 75 1 o 7966 8432 8878 9334 9790 0245 0701 1 1 57 i6i3 2068 2524 2979 3435 389f 434(> 4801 5256 571 1 6167 6622 7077 7532 897894 l352 QJO 7987 8442 8 93 9806 0261 0716 1170 1625 3080 3534 3989 3443 3897 4352 4806 5a6o 5714 6169 66a3 7077 753 1 7985 6643 7000 7555 8011 8467 8023 937 983 0291 0747 1202 1 658 2Il4 2569 3o25 348t> 3o3r> 4391 4846 53o2 5757 62 1 2 6667 712a 7577 8o3a 8487 8892 9800 0254 0707 1 161 i6i5 2068 2522 2975 3428 66B9 7145 7601 8o57 85i3 8969 9425 9881 o337 079a 1248 1704 21S9 2615 3070 35 a6 398. 4437 4892 5347 58o2 6258 6713 7168 7623 8078 9852 o3o7 076 r2i6 1671 2125 258o 3o34 3481 394 4397 485i 53o6 5760 6214 6668 7132 7576 8o3o 84398484 8938 93469392 ,6734 7191 7647 8io3 85598604 9015 9926 o382 o838 1339 1795 22S0 2706 3i6i .3617 4072 4528 4983 5438 5893 6349 6804 7259 7714 8169 8624 8988 9033 9079 9443 9488 9533 989799439988 1394 1749 2 2< )5 2660 3ii6 3571 4037 4482 4937 5393 5848 63f)3 6758 72i3 7668 8123 853318578 9845 0299 0753 1 306 1660 2Il3 2567 3020 3474 o352 0807 1261 1716 3171 3635 3o8o 3534 3988 4443 4897 535i 58o5 6259 6714 7168 7622 8075 852 898 9437 9891 o344 0798 1252 1705 21 59 2612 3o66 3519 6780 7336 7692 8i48 9060 94709516 9972 0428 o883 0398 o852 i3o7 176 33l6 267 3 1 35 3579 4o34 4488 4942 5397 585 r 63o5 72i3 7667 8121 8575 0443 0898 1 352 1807 2361 3716 3170 3635 4079 4533 4988 5442 5896 635o 67596804 7258 7712 8166 86ao 90399074 9482 9o36 0390 0844 1297 1751 2204 2658 3iii 3564 9538 9982 0435 0889 1 342 1796 2250 2703 3i56 36io 01234 56789 Difl*. Diflr.&MuIt. I 46 3 3 iS 4 i84 5 23o 6 276 7 333 8 368 9 4i4 I 3 3 4 5 6 7 8 45 i?5 180 325 270 3i5 36o 4o5 Ditr. Diir. tc Mult. LOGARITHMS OF NUMBERS. 147 Num. 9580 8t 82 83 84 85 86 87 88 89 9690 9' 93 94 96 98 99 9600 or 02 o3 o4 o5 06 07 08 09 96 10 II 13 i3 i4 i5 16 17 18 »9 9620 21 33 33 34 a5 36 27 38 29 9630 3i 32 33 34 35 36 37 38 39 Nnm. 234 56789 981 3655 4108 4562 5oi5 5468 5921 6374 6827 7280 7733 8186 8639 9092 9544 * 9997 982 o45o 0902 i355 1807 2260 2712 3i65 3617 4069 4522 4974 5426 5878 633o 6782 3700 4i54 4607 5o6o 55i3 5966 6420 6873 7326 7778 823i 8684 9137 9590 ♦042 0495 0948 i4oo r853 23o5 2758 32IO 3662 4ii5 4567 5019 547' 5923 6375 6837 3746 41 46 1106 5559 6012 6465 6018 7371 7824 8277 8729 9182 9635 0088 o54o 0993 1445 18 23 7234 7686 8i38 8589 9041 9493 « 9945 983 0396 o848 1299 1751 3 202 2654 3io5 3556 4007 4459 4910 536t 58i2 6263 6714 7i65 76)6 8066 7279 773 1 8i83 8635 9086 9538 9990 044 1 0893 1 344 1796 2247 2699 3i5o 36oi 4o53 45o4 4955 5406 5857 63o8 6759 7210 7661 8111 o 2803 3255 3707 4160 4612 5o64 55 16 5968 6420 6872 7324 7776 8228 8680 9132 9583 ♦o35 o486 0938 1390 i84i 2292 2744 3195 3646 4098 4549 5ooo 545 1 5902 6353 6804 7255 7706 8157 3791 4244 4698 5i5i 56o4 6057 65io 6963 7416 7869 8322 8775 9228 9680 oi33 o586 io38 1491 1943 2396 2848 33oo 3753 42o5 4657 5 109 556i 6014 6466 6918 3836 4290 4743 5196 5649 6102 6555 7008 746r 7914 8367 8820 9273 9726 0178 o63i io83 1 536 1988 2441 2893 3346 3798 4230 4702 5i55 5607 6059 65ii 6963 8517 8562 8968 94t9 9869 984 o32o o365 9oi3 9464 9914 7369 7821 8273 8725 9177 9628 0080 o532 0983 r435 1886 2338 2789 3240 3692 4143 4594 5o45 5496 5947 6398 6849 73oo 775 1 8202 74i5 7867 83i8 8770 9222 9674 0125 o577 1028 1 480 8607 9o58 9509 9959 8652 9103 9554 ♦004 1931 2383 2834 3285 3737 4r88 4639 5090 5541 5992 6443 6894 7345 7796 8247 8697 9148 9599 0049 o4iolo455!o5oo 3882 4335 4788 5241 5695 6148 6601 7054 7507 7960 84(2 8865 9318 9771 0223 0676 II 29 i58i 2o34 2486 3843 4295 4748 5200 5652 6io4 6556 7008 7460 7912 8364 88i5 9267 9719 0170 0622 1073 1 525 1976 2428 2879 3331 3782 4233 4684 5i35 5586 6037 6488 6939 7390 7841 8292 8743 9193 9644 0095 0545 127 80 4834 5287 5740 6193 6646 7099 7552 8oo5 8458 8911 9363 9816 0269 0721 1 174 1626 2079 253i 2984 3436 3888 4341 4793 5245 5697 6149 6601 7053 39724018 44264471 487914924 533215377 5785 583 1 62*38 6691 7144 7597 8o5o 85o3 8956 9409 9861 o3i4 0767 1219 1672 2124 2577 3029 348 1 3934 4386 4838 5290 5742 6194 6646 7098 6284 6737 7190 7643 8095 8548 9001 9454 9907 0359 0812 1264 1717 2169 2622 3o74 3527 3979 443 1 4883 5335 5787 6240 6692 7143 75o5 7957 8409 8860 9312 9764 0216 0667 1119 1570 2022 2473 2924 3376 3827 4278 4729 5i8o 563 1 6082 6533 6984 7435 7886 8337 8788 9238 9689 oi4o 0590 4o63 45i6 4970 5423 5876 6329 6782 7235 7688 8i4i 8594 9046 9499 9952 o4o5 0857 i3io 1762 22l5 2667 3II9 3573 4024 4476 4928 538i 5833 6285 6737 7189 DiflT. 755o 8002 8454 8906 9^57 9809 0261 0712 1x64 i6i5 2067 25i8 2969 3421 3872 4323 4774 5225 5677 6128 6579 7029 7480 7931 8382 8833 9283 9734 OI85 o635 7595 8047 8499 8951 94o3 9854 o3o6 0757 1209 1660 2II3 2563 3oi5 3466 3917 4368 4819 5271 5722 6173 6624 7075 7525 7976 8427 8878 9328 9779 0230 0680 7641 8092 8544 8996 9448 ^?? o8o3 1254 1706 2i57 2608 3o6o 35ii 3962 44i3 4865 53i6 5767 6218 6669 7120 7571 8021 8472 8023 9374 9824 0275 0725 12 3 6 7 8 9 Diif. k. Molt. I 3 3 4 5 6 46 i38 1 84 33o 376 333 368 4i4 I 45 3 90 3 i35 4 180 5 325 6 270 7 3i5 8 36o 9 4o5 DiflT. Difr.&Mnlt hi 148 Mwn. 9640 4i 4a 43 45 46 47 48 49 96 5o 5i 52 53 54 55 56 57 5d 59 9660 61 6a 63 64 65 66 67 68 69 9670 71 7a . 73 74 75 76 77 78 79 9680 81 82 83 84 85 86 87 88 89 9690 91 92 93 94 95 96 97 98 '99 Nvnu LOGARITHMS OF NUMBERS. 01234 56789 o8i5 ia66 1716 2167 2617 3067 35i8 3968 4418 4B68 5273 53 1 8 t84p770 1221 1671 2122 2572 3oa2 3473 3923 4^73 4823 6173 6623 7073 7523 7973 8422 8872 9322 • 9771 9850221 0670 1 1 20 1669 2019 2468 2017 3366 38 16 4265 47*4 5i63 56i2 6061 65io 6959 7407 7856 83o5 8754 9202 • 9651 0996 1445 1893 234 1 2790 3238 3686 4i34 4582 0860 i3ii 1761 2212 266a 3fI2 3563 4oi3 4463 4913 5363 58 1 3 6263 6713 7163 7613 8o63 85i2 8962 9412 9861 o3ii 0760 1210 1659 2108 9558 3oo7 3456 3905 4355 48o4 5253 5702 61 5 1 6600 7048 7497 7946 8395 8843 9292 9740 0189 0637 1086 1 534 1983 243i 2879' 5768 6218 6668 7118 7568 8018 8467 8917 9367 9816 0266 0715 ii65 i6i4 2064 25i3 5962 341 1 386i 43io 4759 52(>8 5657 6106 6555 70o3 7452 7901 835o 8798 9247 9696 0144 0593 io4i 1489 1938 2386 2834 3283 373i 4179 4627467214717 ooo5 ii56 1806 2257 2707 3i57 36o8 4o58 45o8 4958 5408 5858 63o8 6758 7208 7658 8107 8557 9007 9457 o356 o8o5 1255 1704 2i53 2603 3o52 35oi 3950 4399 4849 5298 5747 6196 6644 7093 7542 7991 844o 8888 933 9785 0334 06S2 ii3i 1 579 2027 2476 2924 3327:3372 3776,3820 42244268 5o3o 5075 5 120 5 1 65 5478 5926 0951 i4oi i85i 2302 2752 3 202 3653 4io3 4553 5oo3 5453 5903 6353 6do3 7253 77o3 81 52 8602 9o5a 95oa 9951 o4oi o85o i3(x> 1749 2198 2648 3097 3546 3995 ^m 4893 5342 5791 6240 6689 71 38 7587 8o36 8484 8933 9382 9830 0279 0727 1176 1624 2072 2521 2969 3417 3865 43i3 4761 5209 5657 6io5 6553 7001 7449 5523|5568 56i3 15971160166060 6§74 64 196464,6508 6822 6867I69H 6956 727o'73i 4173597404 12 3 4 5 6 7 8 9 09961 io4i 1 446 1491 1896 2347 2797 3247 3698 4i48 4598 5o48 5498 5o48 6398 6848 7298 7748 8197 8647 9097 95469591 9996 o446 0895 i345 1794 2243 2693 3i42 3591 4o4o 4489 4938 5387 5836 6285 6734 7i83 7632 8081 85298574 8978 9426 9875 o324 0772 1220 1669 2117 2565 3oi4 3462 3910 4358 48«6 5254 5702 61 5o 6598 7046 7493 1042 2392 2842 329a 3743 4193 4643 5093 5543 5993 6443 6893 7343 7793 8242 8692 9142 ♦04 1 0491 0940 1 389 1839 2288 2737 3 18-7 3636 4o85 4534 4983 5432 588 1 633o 6770 7228 7677 8125 9023 9471 9920 ()368 0817 1265 i7'4 2162 2610 3o58 3507 3955 44o3 485 1 5299 5747 6195 6643 7090 7538 1086 1 536 1987 2437 2887 3338 3788 4238 4688 5i38 5588 6o38 6488 6938 7388 7838 8287 8737 9187 9636 0086 o535 0985 1434 1884 2333 2782 3232 3681 4i3o 4579 5028 5477 5926 6375 6824 7273 7722 8170 8619 9068 9516 9965 04 1 3 0862 i3fo 1758 2207 2655 3io3 355i 4000 4448 4896 5344 5792 6240 6687 7i35 7583 ii3i i58i 2032 2482 2932 3383 3833 4a83 4733 5i83 5633 6o83 6533 6983 7433 7883 8332 8782 9232 9681 oi3i o58o io3o 1479 1929 2378 2827 3277 3726 4175 4624 5073 5522 5971 6420 1176 1626 2077 2527 2977 3428 3878 4328 4778 5228 5678 6128 6578 7028 7478 7028 8377 8827 9277 9726 0176 0625 1075 1 524 1974 2423 2872 3321 3771 4220 4669 5ii8 5567 6016 6465 Diff. 86969 3i8 7S< 6 73i 7766 8215 8664 9112 9561 ♦010 o458 0907 1 355 i8o3 2252 2700 3i48 3596 4044 4493 4941 5389 5836 6284 6732 7180 7628 i4 7J63 7811 8260 8709 91^7 9606 oo54 o5o3 0951 i4oo 1848 2296 2745 3193 364i 4089 4537 4985 5433 588i 6329 6777 7225 7673 Diff. & MulU 45 Diff. I a 3 4 5 6 7 8 9 I a 3 4 5 6 7 8 46 i38 184 a3o 276 3a 2 368 4i4 45 i35 180 225 270 3i5 36o 4o5 Diff. & Mult. LOGARITHMS OF NUMBERS. Num. 0700 01 02 o3 04 o5 06 07 08 09 9710 II 12 i3 i4 i5 16 17 18 19 97 20 21 22 a3 a4 25 26 27 28 29 9730 3i 32 33 34 35 36 37 38 39 9740 4i 42 43 45 46 47 48 49 9750 5i 52 53 54 55 56 57 58 59 Num. 12 3 4 5 6 7762178071785217896 8210 8255 8299I8344 86578702874718792 9io5|9i5o 9195 9239 986 7717 8i65 86x3 9060 95o8|9553J9597j9642 # 9955*000 987 o4o3 o448 o85o 0895 1298 1 342 1745 1790 2192 2640 3087 3534 3981 4428 4875 5322I 5769' 6216 6663 7109 7556 8oo3 84f)0 8896 9343 # 9789 988 0236 0682 1128 1575 ao2i 2467 2913 336o 38o6 4252 4698 5i44 55 60 648 1 6927 7373 2237 2684 3i3i 3579 4026 4473 4920 5367 58i4 6261 6707 7t54 7601 8048 8494 8o4i 9387 9834 0280 0727 0045 0492 0940 i3«7 1 834 2282 2729 3176 3623 4070 45i7 4964 54ii 5858 63o5 6752 7»99 7646 8092 8539 8985 9432 9878 o325 0771 1 173 1619 2066 25l2 2958 3404 385o 4296 4742 5i88 5634 567 0090 0537 0985 1432 1879 2326 2774 3221 3668 4ii5 4562 5009 5456 5903 635o 6797 7243 7690 8137 8583 9o3o 9^77 9923 0370 0816 1218 1664 2110 2556 3oo3 3449 3895 4341 4787 5233 6080 6526 6972 7417 78187863 8264 83o9 87108754 91559900 9601 9645 9890046 0492 0937 1 382 1828 2273 2718 3i63 36o8 4o53 0091 o536 9687 01 34 o582 1029 1477 1924 2371 2818 3266 37i3 4160 4607 5o54 55oi 5948 6395 684 1 7288 7735 8182 8628 9075 9521 9968 o4i4 0861 0981 1427 1872 23i7 2762 3208 3653 4098 612 6570 7016 7462 7908 8353 8799 9244 9690 oi35 o58i 1026 1471 1917 2362 2807 325? 3697 4i42 1262 1709 21 55 2601 3o47 34o3 3939 4386 483 1 5277 5723 6169 66i5 7061 75o6 7952 8398 i3o7 1753 2200 2646 3092 3538 3984 443o 4876 5322 5768 6214 6660 7io5 755i 7997 8442 8843 8888 9289 9333 9734 0180 0625 107 1 i5i6 1961 2406 285i 3297 3742 4187 9779 0224 0670 iii5 i56o 2006 245i 2896 3341 3786 423 1 7941 i 79861803 1 8389'8434i8478 8837 9284 9732 0179 0627 1074 l521 1969 2416 2863 33io 3757 42o5 4652 5o, 88818926 9329'9374 9776.9821 0224 0269 0671 1 1 19 0716 ii63 i566ji6ii 201 3 2o58 2461 25o5 2908 2953 3355 3400 38o2 3847 4249 4294 469614741 5i43.5i88 5545, SSooj 5635 59926037,6082 6439'6484 6529 6573 6886693 1 7333 7780 8226 8673 9119 9566 ♦012 0459 0905 i352 1798 2244 2690 3i36 3583 4029 447^ 4921 5367 58x3 6258 6704 7i5o 7596 8o4i 8487 8932 7^77 7824 8271 8717 9164 96x1 oo57 o5o3 0950 1396 1842 2289 2735 3i8x 3627 4073 4519 4965 54ii 5857 63o3 6975 7422 7869 83x6 8762 9209 9655 0102 o548 0994 i44i 1887 2333 2780 3226 3672 4118 4564 5oio 5456 7020 7467 79x4 836o 8807 9253 9700 0146 o5q3 1039 i485 I032 2378 2824 3270 3716 4162 4609 5o54 55oo 6749 6793 5902 5946 634816392 9378 9823 0269 0714 1160 i6o5 2o5o 2495 2940 3386 383 1 4276 7194 7640 8086 853i 8977 9423 9868 o3i3 0759 1204 i64< 209! 254o 2985 343o 6838 7239 7685 81 3o 8576 9022 9467 9913 o358 o8o3 1249 1694 2139 2584 3o3o 3475 3875 3920 4320 4365 7284 7729 8175 8621 9066 9512 9957 O4o2 o848 1293 17J8 2184 2629 3o74 35x9 3964 4409 7065 75ii 7958 84o5 885 1 9298 9745 OXOI 0637 io84 i53o 1976 2423 2869 33x5 3761 4207 4653 5099 5545 5991 6437 6882 7328 7774 8220 8665 91 IX 9556 ♦002 0447 0892 1 338 1783 2228 2673 3x19 3564 4009 4454 1 3 4 5 6 7 8 9 Diff. I A4 a 88 3 l32 4 176 5 220 6 264 7 3o8 8 352 9 396 Diff. & MulU M* LOGARITHMS OF NUMBERS. ©760 6i 6a 63 64 65 66 67 6tt 69 9770 71 72 73 74 75 76 77 78 79 9780 81 82 83 84 85 86 87 88 89 9790 9» 9a 93 94 98 99 9800 01 02 o3 o4 o5 06 07 08 09 98 10 II i3 14 i5 16 \l 19 Num. 01234 56789 980 4498j4543|4587i4632 49434988,503 a 5388 5433 5477 58335877 627816322 6722' 7167 7612 8o57 85oi 8946 931 6767 7212 7656 8101 8546 5922 6367 5077 552 5966 64ii 681 1 6856 7256 73oi 7701 7745 81458190 85908634 8990' 9035 9079 9435i9479;9523 • 9835198701992 990 0279 o32 3 0723 0768 1168 161 2 2o56 25oo 2944 3389 3833 4277 4721 5i64 56o8 6o52 6496 6940 7383 7827 8271 8714 91 58 • 9601 9910044 o488 0931 1374 18 18 2261 2704 3i47 3590 4o33 4476 4520 4919 1212 1 656 2101 2545 2989 3433 3877 4321 4765 5 209 5653 6096 654o 6984 7428 7871 83i5 8758 9202 9645 0089 o532 0975 1419 1862 23o5 2748 3191 3634 4077 4963 5362 i 5406 58o5 5849 6247.6292 66906734 71337177 7575 7620 80188062 846i85o5 o368 0812 1257 1701 2 145 2589 3o33 3477 3921 4365 4809 5253 5697 6i4i 6585 7028 7472 7916 8359 88o3 9246 9690 oi33 0576 1020 1 463 1906 2349 2793 3236 3679 4l22 4565 5007 545o 5893 6336 8o(.38q47 9345 9390 • 97889832 999 o23o 0275 0673I07I7 9968 o4i2 oS57 i3oi 1745 2189 2634 3078 3522 3966 4410 4854 5298 5741 6i85 6629 7073 7516 7960 84o4 8847 9291 9734 0177 0621 1064 i5o7 1951 3394 2837 3280 3723 4i66 4609 5o52 54o5 5937 638o 8992 9434 9876 o3f9 0761 6779 7221 7664 8107 85498593 6823 7266 7708 8i5i 9o36 9478 9921 o363 o8o5 4676 5l21 5566 601 1 6456 6900 7345 7790 8234 8679 9123 <)568 «OI2 0457 0901 1 345 1790 2234 2678 3l32 3566 4oio 4454 4898 5342 5786 6230 6673 7117 7561 8004 8448 8891 9335 9778 0222 o665 1108 1 552 1995 2438 2881 3324 3767 4210 4653 5096 5539 5982 6424 6867 73io 7752 8195 8638 9080 9522 9965 0407 08 5o 583o 6274 6718 7161 7605 84^ 9379 9823 4765 5210 5655 6100 6545 % 7434 7871 832 8768 9212 9657 UIOI o546 0990 1434 1878 2323 2767 32II 3655 4099 454J 4987 5431 5875 63i8 6762 7206 4810 4854 5255 5299 56995744 6144 6189 65896634 7034 7078 7478 7523 7923 7968 8368 8412 88128857 9257 930 T 9701 9746 01460190 0590 06.34 io34 1079 1479 ^^"^^ 1923 1967 23672411 281 1 '28.56 3255 33oo 3699 3744 4i4J4i88 4587|4632 5o3 1 5076 5475,5520 59105963 636 J 6407 6806685 8049 8093 853? 8980 94a4 9867 o3io 0754 "97 1640 ao83 72 5o 76497694 8137 858 1 9025 9468 9911 o355 0798 I24i i685 2128 2571 2527 297o|3oi4 3413)3457 38 12 3856; 3900 425542994343 4697 4742 14786 5i4o5i85 5229 5583; 5627! 5672 6o26,6o7o'6ii5 646965i3,6557 6911 7354 7797 8239 6956,7000 73987443 7841I7885 8284.8328 8682 8726,8770 9124 9567 ♦009 o45i 0894 9169 92 1 3 9611J9655 00530098 04960540 093810982 7295 7738 8182 8625 9069 9512 9956 0399 0842 1286 1729 2172 2615 3o58 35oi 3944 4J87 483o 5273 5716 6159 6602 7044 7487 7929 8372 881 5 9257 9699 0142 o584 1026 4899 5344 5788 6233 6678 7123 7567 80[2 8457 8901 9346 9700 0235 0679 1 1 23 1 568 2012 3456 2900 3344 3788 4232 4676 5 1 20 5564 6008 6452 68o5 7339 7783 8226 8670 91 13 9557 ♦000 0443 0887 i33o 1773 2216 2660 3io3 3546 3989 4432 4875 53i7 5760 6203 6646 7088 753i 7974 84i6 8859 9301 9744 0186 0628 1071 Diffl 12 3 4 5 6 7 8 9 Diir. & Mult I 2 3 4 5 6 7 8 9 DiflT. I 2 3 4 5 6 7 8 9 45 iS 180 225 270 3i5 36o 4o5 44 88 l32 176 220 364 3o8 352 396 DiflT. frMulU LOGARITHMS OF NUMBERS. 151 Num. 9830 31 32 33 a4 25 26 37 28 29 9830 3i 32 33 •34 35 36 37 38 39 9840 4i 42 43 44 45 46 47 48 49 9850 • 5i 52 53 54 55 56 57 58 59 9860 61 62 63 64 65 66 67 68 69 9870 71 72 73 74 75 76 77 78 79 Num. 01234 5678 9 993iii5 1557 1999 344 1 2884 3326 3768 4210 465 1 5093 5535 5977 6419 6860 7302 7744 8i85 8627 9068 9510 # 9951 993 0392 0834 1275 1716 21 57 25o8 3039 3480 3921 4362 48o3 5244 5685 6126 6566 7007 7448 7888 8329 8769 9210 # 9650 9940090 o53i 0971 i4ii i85f 2291 2731 3172 36i2 4o5i 4491 4931 5371 58ii 6251 6690 7i3o 1 646 2088 253o 2972 1159 1601 2044 2486 2928 3370 38r2 4254 46o6 5i38 55*9 6021 6463 6905 7J46 7788|7832 82298274 i2o3 1248 1690 2132 2574 3oi6 34i4 3458 3856 3900 4298 4740 4342 4784 5i82 5226 5624 5668 60656109 65o7 655 1 6949 6993 7390 8671 91 12 9554 9995 o4J6 0878 i3i9 1760 2201 2642 3o83 3524 3965 44o6 4847 5288 5729 6170 6610 7o5i 74q2 7932 8373 881 3 9254 9604 0134 0575 ioi5 1455 1895 2335 2775I2820 32163260 3656 3700 4095I4139 45354579 49755019 54t55459 5855 5899 6295 6338 6734,6778 7174 7218 8715 91 56 9598 ♦039 o48i 0922 1 363 1804 2245 2687 3i28 3569 4oio 445o 4891 5332 5773 6214 6654 7095 7536 7976 8417 8857 9298 9738 0178 0619 io59 1499 1939 2379 7435 7876 83i8 8759 9201 9642 oo83 o525 0966 1407 1848 2290 2731 3172 36i3 4o54 4495 4935 5376 58i7 6258 6608 7139 758o 8020 846 1 8001 9342 9782 0222 o663 iio3 1 543 1983 2423 2864 33o4 3744 4i83 4623 5o63 55o3 5943 6382 6822 7262 1292 1734 2176 2618 3o6o 35o2 3q44 4386 4828 5270 5712 61 54 65q5 7037 7479 7920 8362 88o3 9345 9686 0128 0569 lOIO i45r 1893 2334 2775 3216 3657 4098 4539 4980 5420 586i 63o2 6743 7i83 7624 8064 85o5 8945 9386 9826 0266 0707 ri47 1 587 2027 2467 2908 3348 3788 4227 4667 5107 5547 5987 6426 6866 73o6 i336i38o 1778 1822 2220 2662 3io5i 2265 2707 3 149 3547 3591 3989'4o33 443 1 4872 53i4 4475 4917 5358 5756 58oo 61986242 664o|6684 7081 7523 7964 84o6 8847 9289 973o 0172 061 3 io54 1495 1937 2378 2819 3260 3701 4142 4583 5o24 5464 5905 6346 6787 7227 7668 8fo8 8549 8989 943o 9870 o3io 0751 1191 i63i 2071 25ll 2952 3392 383 1 4271 47" 5i5i 5591 6o3i 6470 7125 7567 8009 845o 8892 9333 9774 0216 0657 1098 1 540 1981 2422 2863 33o4 3745 4i86 4627 5o68 5509 5949 6390 683 1 7271 7712 8i52 8593 9033 9474 9914 o355 0795 1235 1675 2Il5 2555 2996 3436 3875 43i5 4755 5195 5635 6075 65i4 1424 1867 23o9 2751 3193 3635 4077 4519 496 r 54o3 5844 6286 6728 7170 7611 8o53 8494 8o36 9.377 9819 0260 0701 1142 1 584 20i5 2466 2907 3348 3789 423o 4671 5lI2 5553 5993 6434 6875 73i5 7756 8197 8637 9077 9518 9958 0399 0839 1279 1719 2x59 2599 3o4o 3480 3919 4359 4799 i5.3 I 23 28 3281 55 97 9 1469 1911 2353 vf 3237 3679 3723 4i2i 4i65 4563 4607 5cx)5 5o49 5447 5889 633o 6772 7214 7655 8097 8538 8980 9421 9b63 o3o4 0745 1 187 1628 2069 25ro 2951 3392 3833 4274 47i5 5i56 55o7 6037 6478 6019 7359 7800 834t 8681 9122 9562 ♦002 0443 o883 i323 1763 2203 2643 3o84 3524 3963 44o3 4843 5239 5283 5679 6119 6558 5723 6i63 6602 6910,6954 6998 7042 7350173947438! 7482 5491 5933 6375 6816 7253 7699 8i4i 8583 9024 9465 9907 o348 0789 i23r 1672 2Il3 2554 2995 3436 3877 43i8 4759 5200 564i 6082 6522 6963 74o4 7844 8285 8725 9166 9606 0046 0487 0927 t367 1807 2247 2687 3i28 3568 4007 4447 4887 5327 5767 6207 6646 7086 7525 Di.T. Diff. & Mult. 3 4 5 6 7 8 9 44 I 44 2 88 3 l32 4 176 5 330 6 264 7 3o8 8 352 9 396 I 2 3 4 5 6 7 8 Diff. 43 86 129 172 2l5 258 3oi 344 387 Diff. Sc Muh. ^1 lt#<« LOGARITHMS OF NUMBERS. a Num. 0880 8i 8a 84 85 86 88 89 9890 9* 9i 94 90 97 98 99 9900 01 03 o3 o4 o5 06 07 08 09 9910 II I a i3 i4 i5 16 17 18 19 9920 31 aa a3 a4 a5 a6 a8 29 9930 3i 3a 33 34 35 36 37 38 39 Nam. 12 3 4 5 6 7 8 9 m4 7569 8txj9 844^! 8888 9337! • 9767 995 0206 u645 io85 76i3;7657 8o53boQ7 840218536 SoSa 8976 9371 94i5 981 r 9855 02 5o 0294 06890733 Iia8jii7a i568 i6i2 7701 7745 8i4i8i85 858o8624 90209064 9459 95o3 9899904a o338 o38a 07770831 1216 1260 i656 1699 1963 a4oa a84i 3380 3719 4158 45o7 5o36 2007 205 1 2095 2 1 39 24461 2490] 2534 5578 28851292929733017 3324'3368 34i2 345(i 3763|38o7j385i|3895 420214246 429o!4334 4641 5o8o 54745518 591315957 635263o6 6791 6834 72397273 7668 7712 8106 8 1 5o 85458589 89839027 9432 * 9860 9960298 0737 1 175 i6i3 3o5i 3489 2927 3365 38o3 4241 4679 5ll7 5554 %' d43o 6868 73o5 9465 9004994' o34a o38i 468547294772 5i23 5i67'52ii 5562 56o6(565o 6001 16045,6089 644o'6484'6527 6878^6022,6966 73i7 7J6i,74o5 7755|77C 8194 82: 9115 ]4a 0780 1219 1 657 2095 2533 2971 3409 3847 4285 4723 5i6i 5598 6o36 6474 691 1 7349 8632 9071 95o9j9553 904819991 o386 o43o 7843 8282 8676 8720 0824 1262 1 701 0868 i3o6 1744 774317786 81808224 86i8|866i 90559099 21392182 2577 2621 3oi5 3453 3891 4329 4766 52o4 5642 6ti8o 65 1 7 6955 7393 783o 8268 8705 9143 3o59 3497 3o35 4372 4810 5248 5686 6124 656 1 6999 7436 7874 83ii 8749 9186 9492 • 99309974 997o367,o4n o8o4 0848 1242I1285 16791722 2ri6 2160 2553 2597 9536 9580 9624 ♦0170061 <.455o498 0892 [0936 1 329! 1 373 1766^810 22o3|2247 2640 2684 9159 9507 ♦o35 0474 0912 i35o 1788 2226 2664 3ro2 354o 3978 44i6 4854 5292 57 Jo 6167 66o5 7043 7480 7018 8355 8793 9230 9667 oio5 0542 0979 i4i6 299o3o34j3o77|3i2T 34273471(35143558 1 854 2291 2728 3 1 65 36o2 7789783378777021 79<>5 8229827383178361:8405 8668 871 a'8756 8800 8844 9108 9i52'9i96 9239 9283 9547.9591 19655 9679 9723 9986 ♦o3o 0074 0118 0426 0470 o5 1 4 o557 o865 0000 oo53 0997 i3o4 IJ48 1J92 i436 I743;i787i83i|i875 3l82!2226'227o|23l4 2665 27002753 3io4 3i48j3i92 3543:3587|363i 262 a 3o6i 35oo 3939 3983 4026 4070 4377 44a 1 48i6(486o 4465'45o9 49o4|4948 5255' 5399 5343 5387 569.' 3o6o 3l20 3i&o 3a4o 33oo 336o 3420 3480 354o 20 at 22 a3 24 25 26 27 28 ?? 3o 3i 32 33 34 3^ 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 inf. neg. 6-463 7201 6.764 756i 6.9408473 7.065 7860 7.1636960 7.241 8771 7.308 8239 7-366 81 57 7.417 9681 7-463 7255 7.5o5 1181 7.542 9065 7-577 6684 7.609 853o 7.6398160 67.6678445 77-694 1733 8 q-n ■i.ms 5749(5749 574y 574b 5748 5748 5747 5746 5746 5745 5744 5743 574 1 5740 5738 5737 5735 5733 573. 7.7'8 9966 9 7.742 4775 7-7^4 7537 7.785 9427 7.806 1 458 5749 5749 5756 5751 575a tan. inf. neg. 6.463 7261 6.764756a 6.940 8475 7.065 7863 7.1626964 7.a4i 8778 5755 7.3o8 8a48 575717.366 8169 57597.4179696 5761 7.4637373 5763i7.5o5 i2o3 5753 1790 eoL inf. DOS. 13.5302739 i3.a35a438 13.059 '525 12.9342137 ia.837 3o36 5769 5773 5776 5780 5784 5729*5788 57667.5429091 7.5776715 7.6098566 7.6398301 7.667 8495 7.694 1786 5727 5724 5722 5793 5798 58o3 57195808 7.7190026 7.7424841 7.7647610 12.235 2390 7.8 25 45o7 [57i6.58i3 7.843 ^^MSjtiWig 7.861 6623 57IO 5835 7.87869535707 7.89508545704 7.9108793 5701 7.926 1190 7.9408419 7.9550819 7.968 8698 7.982 a334 7.995 1980 8.007 7867 8.020 0207 8.o3i 9195 8.043 3009 8.0547814 8.065 7763 8.076 4997 8.0869646 8.097 i832 8.107 1669 8. 1 16 9262 8. 1 26 4710 8 .i35 8io 4 8.1449532 8.1539075 8.1626808 8. 171 2804 8.1797129 8.1879848 54,8.196 1020 55,8.204 0703 56 8.21 r 8949 5718.319 58i I 58.8.237 t335 59 8.234 5568 6o,8.a4i 8553 CO*. 583 1 5838 5845 5853 585^ 5866 5874 588a 5890 5899 7.785 gSoi? 7.806 1 54? 7.835 46o4 7.843 9444 7.861 6738 7.878 7077 7.895 0988 7.9108938 7.936 1344 5907 5916 5936 5656 5935 565i " ' 5646 564 1 5635 563o 5625 5619 56i3 5965 5975 5986 599-' 6008 6019 56o8 56o2 5596 5589 5583 5577 5570 5563 5557 555o 5945 5955 6o3i 6043 6o55 6067 6080 6093 6106 6119 61 33 6147 5543 6161 55356175 5528I6190 4.685 §Qo JLI. 7.940 8584 7.955 0996 7.9688886 7.983 a534 7.995 3193 8.007 8093 8.030 0445 8.o3i 9446 8.043 5374 8.054 8094 8.o65 8o57 8.076 53o6 12.758 1222 12.601 1752 12.633 1 83 1 12,582 o3o4 12.5362727 12.4948797 12,4570909 ia.422 3a85 12.390 1434 i2.3oo 1790 13.333 i5o8 i3.3o583i4 13.3809974 13.257 5 1 59 12.2140493 12.1938453 12.174 5396 q-fn 15.314 425i 425i 425i 435o 4349 4248 4247 4245 4243 4241 4239 4237 4234 433 1 4237 4234 4230 4216 4a5i 435i 4353 4a53 4a5a 4353 4254 4254 4255 4256 4257 4259 i2.i56o556 12.138 3263 13.131 3933 13 104901a 12.089 "^^ 1 2.073 8656 4t8i 4i75 416914293 416:; 4i55 4i48 8.086 9970 8.097 2173 8.107 203 5 8.1169634 8,126 5099 8.135 85io 8,1449956 8,1539516 8.16a 7267 8. 171 3283 8,1797626 8,188 o364 8-21 1 9536 8.3196408 8.327 1953 8.a34 6ao8 8.34i 9a 1 5 eou ia.o59 '4i6 13.0449004 i3.o3i 1114 ia.0177466 13.0047808 11.993 1908 1 1.9799555 11. 9680554 1 1 .956 4736 11.945 1906 11.934 1943 11.9234694 4213 4207 4303 4197 4193 4187 11.913 oo3o 11.9037838 1 1 .892 7975 11.883 o366 1 1.873 4901 11.864 1490 1 .855 0044 1 1.846 0484 r 1.837 3733 11.8386718 1 1 .830 3374 11.811 9636 8.u;6 1 556 ii.8o3 8444 8.3o4 1359 11.7958741 11-7880474 1 1 .780 3592 11.7738047 1 1 .765 3793 11.7580785 4i4i 4i34 4126 4ii8 4iio 4iot 4093 4084 4074 4o65 4o55 4045 4260 4263 4263 4265 4267 4269 4271 4273 4276 4278 4281 4284 4^ 4290 OOMC. inf. pos. 1 3.536 3739 1 3.335 3439 13.0591 537 ia.o34ai4o 1 2.837 3o4o ia.758 1339 ia.6oi 1761 ia.633 1843 ia.58ao3io 13.5362745 12.4948819 12.4570035 13.423 33 16 i3.3qo 1470 i3.36o i84o 12.332 i555 2.3o5 8267 4296 4299 43o3 43o6 43io 43i4 43i8 4322 4326 4o35 4o25 4oi4 4oo3 3993 3981 3969 3957 3945 3933 3920 3907 taa. 3894 388 1 3867 3853 3839 3825 38io 433 1 4335 4340 4344 4349 4354 4359 4365 4370 4375 438 1 4387 12.281 oo34 12.357 5225 12.235 2463 1 3.3 140573 13.1938543 12.1745493 12.1 56 0662 12.1 38 3377 13.131 3o47 13.1049146 12.080 1307 I3.07J88IO 12.059 i58i 12.044 9181 i3.o3i i3oa 13.0177666 1 3.004 8030 n.992 2i33 1 1 .970 9793 11.9680805 11.9564991 11.945 2186 11.934 2237 1 1 .923 5oo3 4393 4398 4404 44ii 44n 4423 443o 4437 4443 445o 4457 4465 4472 15.314 J+J ii.9i3o354 11.902 8168 1 1.802 833 1 1 1 .883 0738 1 1 .873 5290 11.864 1896 11.855 0468 1 1 .846 0925 11.837 3192 11.828 7196 11.830 3871 11.813 Ol52 11.8038980 11.7959297 11.788 io5i 11.7804189 1 1 .772 8665 11.7654432 11.758 1447 MC. aec. I CM. l O.dOO l 9.999 0000 0000 0001 0003 ooo3 ooo5 0007 0009 0012 ooi5 0018 ooaa 0026 oo3i oo36 oo4i 0047 oo53 ten ten 9999 9998 9997 9995 60I 5 57 561 55 54 53 \52 5i 5o 49 9974 48 996947 9993 9985 9982 9978 :? 0060 0066 0073 0081 0089 oo97J99f)3 9964 9947 9940 9934 9927 9919 991 46 45 44 43 01069894 01159885 0124 oi34 oi44 01 55 9876 9866 9856 9845 oi65 0177 0188 0200 0212 0225 02 38 0252 0265 0279 9835 9833 9812 9800 9788 9775 9762 9748 9735 9721 42 4i 4o 3 h 36 35 34 33 32 3i 3o 2 2 27 26 25 0394,9706 03099691 o324 o34o o356 0373 0389 9676 9660 9644 9638 9611 04069594 o433 044 1 0459 0478 0497 o5i6 9577 9559 9541 032 95o3 9484 o536|9464 05569444 0576^9434 o597|94o3 0618,9383 06409360 0663 9338 10.000 eosec sin 9.999 24 23 22 21 30 i? 18 n 16 i5 14 12 11 10 9 8 _7 6 5 4 3 2 I ^,nT^M^W>ic LOaARITHMIC SINES, TANGENTS, &C. 157 n 36oo 366o 3720 3780 384o 3900 3960 4020 4080 4i4o 4200 4260 10 4320 438o 4440 45oo 456o 4620 4680 4740 4800 4860 4920 4980 5o4o 5 100 5i6o 5220 5280 5340 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397 2697 298 33oi 299 3879 300 4432 3oi 4959 8.3o2 5460 3o3 5937 3o46388 3o5 68i3 3067314 3077590 8.3o8 7941 diff.l" «o-iiii. iao4.6 1201.2 1 198.0 1 194.6 11 91. 4 iii^S.i 1 184.8 1 1 81. 6 1 178.5 1175.3 1173.1 1168.9 1 165.7 J 162.7 1159.5 1 1 56.5 1 1 53.3 1 1 50.4 u47-2 ii44'3 ii4i.3 II 38.3 1 1 35.3 ii3a.3 1139.4 1 1 26.4 iia3.6 I I ao.6 II 17-7 1114.9 I I I a.o 1109.2 11 06.3 iio3.6 1100.7 1098.0 1095.2 1 093 .4 1089.7 1080.0 1084.3 it»8i.5 1078.9 1076.3 1073.5 1070-9 1068.3 1065.6 io63.o 1060.4 io57-8 io55.3 1053.7 io5o.i 1047.7 io45i 1043.5 io4o.i 1037.6 io35.i diCl" c0-me. 11.758 1447 7569401 755 7389 754 5409 753 3463 753' 1 549 8.241 9315 243 1 264 244 3380 245 5263 2467213 2479131 11.750 96(38 8.249 '^'^ 749 7820 35o 2868 7486004 7474219 746 3467 745 0746 11 t»i»f. a5i 4688 252 6476 a53 8232 254 9956 di.T.l" .743 9057 8.256 1649 7437400 35733 10 II 74 1 5773 7404178 7392613 738 1080 .736 9576 7358104 734 6661 358 4941 3596540 2608108 a6i 9646 8.263 1 1 53 264 a63o 265 4076 7335249 2665492 732 3866 267 6879 II II II II II II II 73i 25i3 .730 1190 7289806 727 86j2 726 7396 7356190 734 5oi3 .733 3864 733 3744 731 i653 7200589 7180553 7178546 .7167566 7i566i4 7145690 7i3 4793 713 3924 711 3o8i .710 3266 709 1477 708 0715 7069980 7o5 9271 704 8589 .703 7933 70a 73o3 701 6699 700 61 2 1 690 5568 698504 .697 4540 6964063 695 36i2 69^ 3187 693 2786 692 2410 .691 2059 368 8336 8.260 9563 2710860 272 2129 273 3368 374 4578 275 5760 8.2766912 277 8o36 2789132 280 0200 a8i 1239 a8a aaSi 8.383 3334 3844190 385 5ii8 2866019 2876893 288 7740 8.2898559 390 9352 392 01 18 393 0857 294 1 570 295 2256 8.396 3917 397 355i 2984159 399474a 3oo52o8 3oi 58jo 8.3o3 6335 3o3 68i6 3047271 305 7701 306 8io6 307 8486 8.3o8 8843 sec. eo-tang. 010 304.9 aoi.o 98.3 95.0 91.8 88.4 83.0 78.8 75.6 72.4 60.3 :? 63.1 ^- 53.8 5o.7 47.7 44.6 4i.6 38.7 35.7 ■32.7 30.7 36.9 a3.9 ai.o i8.a 1 5.3 12.4 09.6 06.8 03.9 01.2 098.3 095.6 0928 090.1 087.4 084.7 081.0 **7?-3 076.f) 073.9 071.3 068.6 066.1 063.4 060.8 o58.3 o55.6 o53.2 o5o.5 048.1 045.5 043.0 o4o.5 o38.o o35.6 co-tang. II II II 11 ■ec* II II II diff. I'- ll II II II .7580785 j56 8736 755 6720 754 4737 753 2787 7520869 .7508985 7497132 748 5312 747 3524 746 1768 745 oo44 .743 8351 743 6691 74 f 5o59 740 3460 739 1892 738 o354 .736 8847 735 7370 734 5o24 733 4jt>8 732 3l21 73 1 1764 .730 0437 7289140 737 7871 726 6632 735 5433 734 4a4o .733 3o8b 733 1064 731 0868 7199800 7188761 7177749 .7166766 7i5 58io 7144883 7133981 713 3i07 711 3360 .710 i44i 7090648 707 9882 7069143 7o5 843o 704 7744 .703 7083 702 6449 701 584 1 700 5258 6904702 6984170 .697 3665 6963184 695 2729 694 2299 693 1894 692 i5i4 .691 ii58 10.0000662 o665 0669 0673 0676 0680 10.0000684 0687 0691 0695 0699 0703 10.0000706 0710 0714 0718 0722 0725 10.0000739 0733 0737 0741 0745 0740 10.00007S3 0757 0761 0764 0768 0773 10.0000776 0780 0784 0788 0793 0796 10.0000800 0804 0809 o8i3 0817 0831 10.0000835 0839 o833 0837 o84i o846 io.oooo85o o854 o858 0863 0866 0871 10.0000875 0879 o883 0888 0892 0896 10.0000900 co-uin. tang. co-aec. 9.9999338 9335 9331 9327 9334 9330 9.9999316 93i3 93o5 9301 9297 9.9999394 9290 9386 9283 9378 9275 9.9999271 9267 9263 9259 9255 9251 9.9999247 9243 9239 9236 9232 9228 9.9999224 9330 9216 9212 9208 9204 9.9999 2 Of J 9 9 9 9 9 9.9999 9 9 9 9 9 9.9999 9 9 9 9 9 9.9999 9 9 9 9 9 99999 96 ?; 83 79 73 7' 67 63 59 54 5o 46 4'> 38 34 2 2 21 '7 12 08 o4 00 ■in. 6'*' 5o 40 3o 20 10 4( 3c 20 58' 5c 4« 3f. 2t: Id 57' 5o 40 3c- 20 10 56 5c 40 3o 20 10 55' 5o 4o 3o 20 10 54' 5o 4o 3o 20 10 53' 5o 40 3o 20 10 52' 5o 4o 3o 20 10 51' 5o 4o 3o 20 10 .50' 88° LOGARITHMIC SINES, TANGENTS, &C. 165 1° 178° sin. 10 10 90 3o 4o 5o 11 10 ao 3o 40 5o 12 10 20 3o 4o 5o 13 10 30 3o 40 5o 14 10 20 3o 40 5o 15' 10 30 3o 40 5o 16 10 20 3o 40 5o 17' 10 20 3o 4o 5o 18' 10 20 3o 4o 5o 19 10 20 3o 40 5o 20' djff. 1" 8.3087941 309 8268 3 10 8570 3ii8848 3i2 9101 3i3 933i 8.3 1 4 9536 3159717 3169875 3 18 cx)o8 3190119 320 02o5 8.321 0269 322 o3o9 323 o326 324o3r9 3350290 326 0238 8.3270163 3280066 328 9946 329 9804 330 9639 33 1 9452 8.332 9243 3339012 334 8759 335 8484 3368187 337 7869 8.338 7529 3397168 340 6785 341 6382 342 5957 343 55io 8.344 5o43 345 4555 346 4o47 347 35 17 348 2967 349 2396 8.35o i8o5 35i 1 194 352 o562 352 9910 3539238 354 8546 8.3557835 3567103 3576351 358 558o 359 4790 360 3979 8.36 1 3i5o 363 23oi 363 1433 364 o545 364 9639 365 8713 8.366 7769 co-sec. II 11 II II io32.7^'' io3o.3 1027.8 I025.3 I023.0 1020.5 1018.1 oi5.8 ioi3.3 lOII.l ic>o8.6 1006.4 KX)4.0 1001-7 999.3 997.1 994-8 992.5 990.3 988.0 985 983 981-3 979.1 9769 974-7 972.5 970 -3 968-2 966-0 963.9 961-7 959.7 957-5 955.3 953.3 951.2 949.2 9470 945.0 942.9 940.9 938.9 936.8 934.8 932.8 930.8 928.9 926-8 924-8 922-9 921.0 918.9 9171 915.1 913.2 911. i 909.4 907.4 905.6 tang. II II co-iin. diff.l" 691 2059 6901732 689 i43o 688 ii52 6870899 6860669 .685o464 684 0283 683 0125 681 9992 6809881 679 9795 .678 973 1 677 9691 676 9674 6759681 6749710 673 9762 .673 9837 671 9934 671 oo54 6700196 6690361 6(>8 o548 .667 0757 6660988 665 1 24 1 664i5i6 663 i8i3 662 2l3l .661 2471 660 2832 6593215 658 36 1 8 657 4o43 656 4490 .655 4957 654 5445 653 5953 652 6483 65 1 7o33 65o 7604 .6498195 648 8806 647 9438 6470090 646 0762 645 1454 .644 2 1 65 643 2897 642 3649 64 1 4420 64o 5210 639 602 1 .638 685o 637 7699 636 8567 635 9455 635o36i 634 1287 ,633 233 1 difi: l" u II 11 II sec. 8.3o8 8842 3099173 3109479 3i I 9761 3i3 0019 3i4o253 8.3 1 5 0462 3i6o648 3170810 3180948 319 1062 320 II 54 8.321 1221 322 1266 323 1287 324 1285 325 1260 326 12l3| 8.327 1143 328 io5o 339 0934 330 0706 33 1 0636 332 o454 8.333 0249 334 CX)23 334 9774 335 95o4 3369212 337 8898 8.338 8563 339 8206 340 7828 34 1 7429 342 7009 343 6567 8.344 6io5 3455621 346 5117 347 4592 348 4o47 3493481 8.35o 2895 35i 3288 352 1661 353 ioi4 354 o347 3549660 8.355 8953 356 8226 357 7479 3586713 359 5927 36o5i2i 8.36i 4297 362 3453 363 2589 364 1707 365 o8o5 365 9885 8.366 8945 co-tang. co-tang. II 11 io33.i io3o.6 1028.2 1025.8 1023.4 1020.9 ior8.6 1016. 2 !oi3.8 101 1.4 1009.2 i(X)6.7 ioo4.5 1002.1 999.8 995-3 993.0 988.4 986 984.0 981-8 979.5 977-4 975.1 9730 970.8 968.6 966.5 964.3 962.2 960.1 958.0 955.8 953.8 951.6 949.6 947-5 945.5 943.4 941.4 939.3 937.3 935.3 933.3 931.3 929.3 937.3 935.3 923.4 921.4 919.4 917.6 915.6 913.6 911.8 909.8 908.0 906.0 diff. I' sec. II .691 Il58 690 0827 6890521 688 0239 686998 685 9747 ,684 9538 683 9352 682 9190 681 9052 680 8938 679 8846 .678 8779 677 8734 6768713 675 8715 674 8740 673 8787 11.6728857 671 8950 670 9066 6699204 6689364 667 9546 11.6669751 ' 6659977 665 0226 6640496 663 0788 662 1102 1 1. 661 1437 660 1794 659 2172 658 2571 657 2991 656 3433 11.6553895 654 4379 653 4883 652 5408 65 1 5953 65o65i9 11.649 7io5 648 7712 647 8339 646 8986 645 9653 645 o34o 11.644 io47 643 1774 642 2521 64 1 3287 64o 4073 639 4879 1 1 .638 5703 637 6547 636 74 1 1 635 8293 6349195 634 01 1 5 11.633 io55 tang. co-sm. IO.OOCK)9CX> 0905 0909 0913 0918 0922 10.0000926 0931 0935 0939 0944 0948 10.0000953 0957 0961 0966 0970 0975 1 10.0000979 0984 0988 0993 0997 I{X>3 io.oooicxd6 ion ioi5 1020 1024 1029 io. 85'' lO 30 3o 4o 5o lO 20 3o 4o 5i> 127' 10 »o 5o 26 lO ao '3o 4o 5o W lO ao "SO So 8.366 7769 3676806 3(38 5824 369 4833 370 38<.)4 3 "7 1 3700 8.37a I7H> 373 o635 373 954; 178= ^^-3 3696014 H't .627 8290 8.372 291 5:2^ 6269365 373 i845:°?f" — - 374o757:^g;:^ 3749651 ^g^fi 375 8527 00 c 8.3776223^2,? co-tanf. 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I'- ll 586 1200 585 3092 584 4999 583 6921 582 8858 .582 08 r 409 1 258 4099463 4107653 4ii 5828 4123988 VCK^ 4140261 4i4 8374 4i5 6473 4i6 4556 417 2625 8.4180679 00-tanf. 878.5 876.9 875.0 873.3 871.5 869.8 868.1 866.3 864.7 862.8 861.2 859.5 857.8 856.1 854-4 852.8 85 1.0 849-4 847 -b 846.1 844-5 842.8 84i.a 839.5 838.0 836.3 834.8 833.1 831.5 83o.o 828.4 826.8 825.2 823.7 822.1 820.5 819.0 817.5 816.0 814.4 812.9 in.! II II II II II II II II :? 806.9 8o5.4 II dif.r II .633 io55 632 aoi3 63 1 2991 6303986 629 5ooi 628 6o33 .627 7085 6268155 625 9243 625 0349 624 1473 623 2616 .022 3777 621 4955 63o6i5i 6197366 6188597 6179847 .617 1114 6162399 61 5 3701 61 4 5o2o 61 3 6357 612 7710 .61 1 9082 61 1 0470 610 1875 6003297 60847J6 6076192 .6067664 6059154 6o5o66o 6042182 6o3 3721 602 5276 .601 6848 6008436 6oooo4i 599 1661 5983298 597 4950 .5966619 59583o4 595 0004 594 1720 593 3452 592 5200 .591 6963 590 8742 Soo o537 589 2347 5884172 5876012 .5867868 5859739 585 i6a6 584 3527 583 5444 58a 7375 58i 9321 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 10.000 *Mag. 10.000 176 181 186 191 196 aoi 206 211 216 321 226 23l a36 241 246 25l 256 261 266 271 276 28 1 386 391 297 3o3 3o7 3ia 3i- 322 328 333 33*^ 343 349 354 359 m4 370 375 38o 386 391 396 4o2 407 12 18 23 428 434 439 445 45o 456 46i 467 472 477 483 488 d.r 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.6 0.5 0.5 0.5 0.5 0.5 0.6 0.5 0.5 0.5 0.6 0.5 0.5 0.5 0.6 0.5 0.5 0.6 0.5 0.5 0.6 0.5 0.5 0.6 0.5 0.5 0.6 0.5 0.6 0.5 0.6 0.5 0.6 0.5 0.5 0.6 0.5 eo-ain. 9.9998824 8819 8814 8809 8804 8799 9.9998704 8789 8784 8779 8774 87C9 9.9998764 8759 8754 8749 8744 8739 9.9998734 8729 8724 8719 8714 87OQ 9.999870J 8698 8693 8688 8683 8678 9.9998672 8667 8662 8657 865 8646 9.9998641 8636 863o 8625 8620 8614 9.9998609 8604 8598 8593 8588 8582 9.9998577 8572 |40' 5o 4<^ 3o 20 10 39' 5o 4o 3c) 20 10 mf 5o 4o 3o 20 10 37' 5ci 40 3o 20 l(; 36' 5o 4c 3( 20 10 35' 5c 4c: 3c 20 341 5( 4< 3( 3( U 331 5< ^( 3o 20 10 32' co-see. m" 8566 856i 8555 855o 9-9998544 8539 8533 8528 8523 85i7 9.9998512 4o 3 20 10 .31' 5o 4< 3o 20 10 30 •10 88<' LOGARITHMIC SINES, TANGENTS, &C. 167 1780 1° sin. did" 10 20 3o 40 5o 33 10 20 3o 40 5o 34' 10 20 3o 40 5o 35' 10 20 3o 4o 5o :36 10 20 3o 40 5o 37 10 20 3o •40 5( 38 10 20 3o 40 5o :J9 10 20 3o 40 5o 40' 30' 8.417 9»90 t 10 4i8 7223 I 20 419524a 3o 420 3245 4o 421 1234 5o 421 92.08 31' 8.422 7168 10 423 5it3 20 424 3o43 3o 425 0959 40 425 8861 5o 4266748 32i8.427 462i 428 2480 429 o324 4298154 430 5971 43 1 3773 8.432 i56i 432 9335 433 7095 434 4842 435 2574 436 0293 8-436 7999 437 5690 438 3368 439 io32 439 8683 440 632 1 8.441 3944 442 i555 4429152 443 6736 444 4307 445 1 865 8.445 9409 446 6940 447 4459 448 1964 448 9456 449 6936 8.450 4402 45i i856 45i 9297 4526725 453 4i4i 454 1 543 8.454 8934 455 63 II co-sec. 8o3.3 801.0 800.5 798.9 797-4 796.0 794-5 793.0 791.6 790.2 788-7 787-3 785-9 784-4 783.0 781-7 780-2 778.8 777-4 776.0 774-7 773.2 771.9 770.6 769.1 767-8 766.4 765.1 763.8 762.3 761. 1 759-7 758.4 757. tang. 1 1.582 0810 58 1 2777 58o4758 579 6755 578 8766 578 0792 11.577 2832 576 4887 575 6957 5749041 574 1 1 39 573 3252 dif. 1" 8.4180679 4I887I7 419 6741 420 4750 421 2745 4220725 8.422 8690 423 6640 4244576 425 2498 426 o4o5 4268298 co-tang. 1 1.572 5379 8.427 6176 571 7526 4284041 570 9676 429 189I 5701846 4299727 569 4029 43o 7549 5686227 43 11.56784398.4323150 8o3.8 802.4 800.0 799-5 798.0 796.5 795.0 793.6 792.2 790-7 789.3 787.8 786.5 785.0 783.6 782.2 sec. ,^3?6P» iO.7 755.8 754-4 753-1 751-9 75o-5 749 748.0 746-6 745-4 744-1 742-8 741-6 740.2 739.1 1737-7 456 36771Z352 457 1029 3/ 457 8369':;^l8 5670665 566 2905 565 5 1 58 564 7426 563 9707 11.563 2001 5624310 561 6632 5608968 560 i3i7 559 3679 ii.558 6o56 557 8445 557 0848 556 3264 555 5693 5548i35 11.5540591 553 3o6o 552 5541 55 1 8o36 55 1 o544 55o 3o64 433 0930 4338696 434 6448 4354187 4361911 8.436 9622 437 7320 438 5oo3 439 2673 440 o33o 440 7973 8.441 56o3 442 3219 443 0822 443 8412 444 5989 4453552 8.446 iio3 4468640 4476164 448 3675 4491173 449 8659 8.45o6i3i 458 5697 8.4593013 46oo3i6 4607607 462 9406 7^^-4 8-463 6649'^^ 73i 730.3 729.1 727.9 co-sin. 11.5495598 5488144 4513591 5480703 452 1038 547 3275 452 8472 546 5859 453 5893 545 8457 454 3302 1 1.545 1066 8.455 0699 5443689 4558082 543 6323 456 5453 5428971 4572812 542 1 63 1 458 01 58 54i43o3 4587492 11.54069878.4594814^3^; 5399684 46o2i23;Z_Z 539 2393 538 5ii4 537 7848 537 0594 11.536 335i 779-4 778-0 776.6 775.2 773.9 772.4 771. 1 769.8 768.3 767.0 765.7 764.3 763.0 761.6 •760.3 759.0 757-7 7563 755.1 753-7 752.4 75i-T 749-8 748.6 747.2 746.0 744.7 743.4 742.1 740.9 739.7 738.3 737- r 735-9 734-6 733.4 732.2 11.581 9321 58 1 1283 58o3259 579 525o 578 7255 577 9275 11.577 i3io 576 336o 575 5424 574 7502 573 9595 573 1702 11.5723824 571 5959 5708109 570 0273 569 245 1 568 4644 11.5676850 5669070 566i3o4 565 3552 564 581 3 563 8089 1 1.563 0378 562 2680 5614997 56o 7327 559 9670 559 2027 11.5584397 5576781 5569178 556 1 588 5554011 554 6448 11.5538897 553 1 36o 552 3836 55i 6325 55o 8827 55o 1 34 1 d.1" io.oooi488 1494 i5oo i5o5] i5ii 1 5 16' IO.OOOl522 1 527 i533 1539 1 544 i55o 10.0001 555 i56i 1567 1572 1578 1 5841 10.0001589! 1595 1601 1607 1612 1618 10.0001624 i63o i635 i64i i647 i653 io.oooi658 1664 1670 1676 1682 1688 10.0001694 1699 1705 1711 1717 1723 CO- sin. 1 1.549 386dio.oooi729 548 6409 1735 diCl" sec. 729-7 46o?42ol-g;^ 461 6705 1 727.3 462 3978^;^^^ 463i238|72-8 8.463 8486 7=*^-° 547 8962 5471528 5464107 5456698 11.5449301 544 1918 543 4547 542 7188 541 9842 541 25o8 11.540 5i86 539 7877 539 o58o 538 3295 537 6022 536 8762 11.536 i5i4 1741 1747 1753 1759 10.0001765 1771 1777 1783 1789 1795 io.oooi8oi 1807 i8i3 1819! 18251 1832I 1 0.000 1 838 co-tang. di£l' tang. 0.6 0.6 0.5 0.6 0.5 0.6 0.5 0.6 0.6 0.5 0.6 0.5 0.6 0.6 0.5 0.6 0-6 0.5 0.6 0.6 0-6 0.5 0.6 0.6 0.6 0.5 0.6 0'6 0'6 0'5 0.6 0.6 0.6 0.6 0-6 0.6 0.5 0.6 0.6 0.6 0.6 0.6 0.6 0.6 06 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 9'99985'2 85o6 85oo 8495 8489 8484 9.9998478 8473 8467 846 T 8456 845o 9.9998445 8439 8433 8428 8422 84 16 9.999841 ^4o5 8399 8393 8388 8382 9.9998376 8370 30' 5o 4o 3o 20 10 29' 5o 4o 3( 3o 2C 10 28' 5o 40 3c; 20 10 27' 5o 4o 3{) 20 10 |26' 5o 40 3o 20 10 0.7 0.6 co-sec. 8365 8359 8353 8347 9.999834^ 25' 8336 " 833o 8324 83i8 83i2 9.9998306 83oi 8295 8289 8283 8277 9.999827123' 8265 ' 8259 8253 8247 8241 9.9998235 8229 8223 8217 821] 8205 9.9998199 8193 8187 8181 8175 8168 9.9998162 d.1" 5o 40 3o 20 10 124' 5o 40 3o 20 10 DO 4o 3o 20 10 22' 5o 4o 3o 20 10 21 5o 40 3o 20 10 h20' Bin. 9V 88^ 168 LOGARITHMIC SINES, TANGENTS, 470 1 291 4708414 471 55'j(6 8.472 2616 4729714 4736791 474 3656 475 0910 475 7953 8.476 4984 477 2*X>3 4770012 478 479 2994 47999^9 8.4tto 6932 481 3884 482 0825 482 7755 483 4674 484 1 582 8.484 847 485 536 486 3240 4869104 487 5967 488 2800 8.488 9632 489645: 490 3263 491 oo63 491 6852 492 363o ;i 10 ao 3t: 4o 5o 43' 10 20 3i' 4o 5c: 44' 10 ao 3o 4o 5o 145 10 20 3o 4o 5o l§ 10 30 3o 4o 5o 47' 10 20 3o 4o 5o 48' 10 20 3o 4o li'p.Soi 0798 5oi 7432 iitl" c«-iec 723.0 721.8 720.6 719-'* 718.3 715.9 714-7 713.5 712.3 7U-2 710.0 708.8 707.7 706.5 705.4 704.3 70.3.1 701.9 700.9 8 II 8 II 8.493 o3o8 493 7 1 55 494 3902 495 o638 495 7364 496 4079 8.497 0784 497 74-7' 498416 499 f>838 499 75oi 5oo4i55 10 20 3o 4o 5o ;? 502 4o55 5o3o668 503 7271 504 3864 8.5o5o447 CO^IO. II II 69-T.5 093.2 694.1 693.0 691.9 00.8 689.7 688.6 687.5 686.4 685.3 683.2 682.1 681.0 680.0 678.9 677i 676.8 675.7 674.7 673.6 672.6 671.5 670.5 669.5 668.4 667.5 666.3 665.4 664-3 663.4 662,3 661.3 660.3 659.3 658.3 diCi" II. II II 535 61 21 534 8903 534 1097 533 45o3 533 7320 .532oi5o 53i 2991 53o 5844 5298709 Sao 1 586 528 4474 .527 7374 5270286 5'i6 3209 SaS 6i44 5249090 524 2047 .523 5oi6|8 522 7997 522 0988 521 3991 Sao 7006 5aooo3r .5193068 S186116 5179175 5 17 2245 5 16 5326 Si5 84i8 .5i5 i52i 5i44635 5137760 5130896 5i2 4o43 5ii 7200 .5 1 1 o368 5 10 3547 5oo 6737 5o8 9937 So8 3i48 5o7 6370 5069602 5o6 2845 5056098 5o4 9362 5o4 a636 5o3 592 1 5029216 502 2521 5oi 5837 5oo 9162 5oo 2499 499 5845 .498 9202 4982568 4975045 496 9332 496 2729 495 6i36 .494 9553 tang. 8 8 8 8 8 8 8 -463 8486 464 5723 465 2947 466 Of 59 466 7360 467 4548 .468 1725 468 8890 469 6c»43 470 3 1 84 471 o3i3 471 743 .472 4538 473 1 63 2 4738715 474 5787 475 9847 47S 989(> .476 6933 477 3959 478 0974 478 7977 479 4969 480 1950 .480 8920 48 1 5878 482 28^6 482 9762 483 6687 484 36o2 .485o5o5 485 7397 4864279 487 II 49 487 8009 488 4858 .489 1696 4898524 490 5341 491 2147 491 8942 492 5727 .493 2502 493 0266 4946019 495 2762 495 9494 4966216 .497 2928 4979629 498 6320 4993001 4999671 5oo 6332 .5oi 2982 5oi 9622 502 ozSa 503 2871 5o3 9481 5o46o8i .5o5 2671 dif.l" CfKtang. 11 II II - 1 II 723.7 722.4 720.1 718.8 716.5 715.3 7I4.I 712.9 711.8 7io.7[ 700.4; 708.3 707.2! 706.0 704.9 703.7 702.6 701. 5 700.3 699.2 698.1 697.0 695.8 694.8 693.6 692.5 691.5 690.3 689.2 688.2 687.0 686.0 684.9 683.8 682.8 681.7 680.6 679.5 678.5 677.5 676.4 675.3 674.3 673.2 672.3 671.2 670.1 .1 667.0 666.1 665.0 664.0 663 .0 661.9 661.0 660.0 659.0 ■ee. I co>tanf. •ec. II II diCl" II If II II 536i5i4 535 4a77 534 7053 533 9841 533 2640 53a 5452 .53 1 8275 53i II 10 53o 3957 5296816 5289687 528 2569 .527 5462 526 i>368 526 1 285 5254213 5^4 7153 5a4oio4 .523 3067 S22 6o4i Sai 9026 521 aoa3 520 5o3i 5 1 9 8o5o .SiQ 1080 5i84ia3 5177174 5i7 0238 5i633i3 S156398 .5149495 5i4 2603 5i3 5721 Si2 885i S12 1991 5ii 5i4a .5io83o4 5io 1476 509 4659 5o8 7853 5o8 io58 5o7 4273 .5o6 7498 5060734 5o5 3981 5o4 7238 5o4 o5o6 5o3 3784 .5o2 7072 5o2o37i 5oi 368o 5006999 5oo 0329 490 3668 .4987018 498 0378 497 3748 4967129 4960519 495 3919 .494 7329 10 10 10 10 10 10 10 10 10 10 10 .0001 838 1844 i85o i856 1862 1868 .0001875 1 881 1887 1893 1899 1906 .0001912 1918 1924 1931 1937 1943 .0001950 1956 1962 i960 1975 1981 .0001988 1994 2000 2007 201 3 2020 0002026 2o32 2039 2045 aoSa 3o58 .0003065 ao7i 2078 2084 3091 2097 .0003104 2111 2117 3124 2i3o 2i37 .0002144 21 So 2i57 ai63 2170 2177 .0002183 2190 2197 2203 2210 2217 .0002224 d.l" 0.6 0.6 0.6 0.6 0.6 0.7 0.6 0.6 0.6 0.6 0.7 0.6 0.6 0.6 0.7 0.6 0.6 0.7 0.6 0.6 0.7 0.6 0.6 0.7 0.6 0.6 0.7 0.6 0.7 0.6 0.6 0.7 0.6 0.7 0.6 0.7 0.6 0.7 0.6 0.7 0.6 0.7 0.7 0.6 0.7 0.6 0.7 0.7 0.6 co.#in, • I 9.999816a 81 56 8i5o 8144 81 38 8i3^ 9.9998125 8ii3 8107 8101 8004 9.999808b 8082 8076 8069 8fi63 8o57 9.9998050 8044 8o38 8o3 8025 8019 9.999801 2 8006 8000 7993 7987 7980 9-9997974 7968 t*nf. co-iec. 0.7 0.6 0.7 0.7 0.6 0.7 0.7 0.6 0.7 0.7 0.7 d.1" 7961 7955 7948 7942 9.9997935 7929 7922 7916 7900 70o3 9.9997896 7889 788 7876 7870 7863 9.9997866 7860 7843 7837 783o 7823 9.9997817 7810 7803 7797 7700 7783 9-9997776 ■in. 29 2801 63^^ S199162 8.520 55i4 5a 1 1 856 5ai8i8o 522 4Si3 Sa3 0828 523 7133 86243430 6249717 SaS 6996 626 2264 526 8624 527 4775 8.628 1017 628 7260 629 3474 S29 9689 53° 5895 6 8 532 446i 533 o632 5336794 534 2948 5349092 8.535 5228 536 i356 tang. 635.2 634.2 633.3 632.4 63 1.5 63o.5 629.7 628^7 627.8 626.9 626.0 626.1 624.2 623.3 622.4 621.5 620.6 618.0 617.1 616.2 6i5.4 614.4 6i3.6 612.8 .-- - .6u.8 536 7474 6 537 3586^ '• 537 f 86,6^ 3 538 5779 6o8 4 8.5391863^^-^ ?? 7^9 6^-8 54o 4007 ^~c S4ioo66 2!c'9 5416116^^.0 542 2i58X°t^, 8.54281921^^-4 1 1 .494 9553 494 2980 4936417 492 9864 492 3321 491 6787 11.491 0264 490 37S0 489 7246 489 07 5 2 488 4267 487 7792 11.487 i327 4864871 485 8425 486 1989 484 5562 4839144 11.483 2736 48a 6338 4Bi 9949 48 1 3569 4807199 480 o838 1 1 .479 4486 4788144 478 1811 477 5487 476 9172 476 2867 1 1 .475 6S70 47S 0283 474 4oo5 473 7736 473 1476 472 S22S 11.471 8983 471 27S0 470 6526 47003 11 4694105 468 7907 11.468 1719 467 553 466 o36 466 3206 465 7062 465 0908 1 1 .464 4772 463 8644 463 2626 4626416 462 o3i4 461 4221 11.4608137 460 2061 459 S993 458 9934 468 3884 4S7 7842 11.457 1808 dif.l" CO- tang. II II II II co-sin. diC I' 8.5o5 2671 ^r^ . II 505 9250 506 5820 507 238o 507 893© 508 5470 8.609 "^^^^ 5098521 Sio 5o32 Sii 1 533 5ii 8025 5i2 4S06 8.5i3 0978 5i3 744i S 143894 5i5o337 Si 5 6771 5163195 8.S169610 6176016 5r8 2412 S188798 S19S17S 520 1S43 8.520 7902 521 4251 522 0S91 522 6922 523 3244 523 9S67 8.S24 586o 626 21 64 525 8439 S264716 S27 0983 527 7:^41 8.528 3490 528 973o 529 5961 530 2 1 83 53o 8397 53i 4601 8.532 0797 5326984 5333162 633 9331 534 5492 535 1644 8.535 7787 5363922 537 oo48 537 6i65 538 2274 538 8374 6^ 3 8.639 4466,^-^ 64o 0649 60 5 54o6624|^-i li' R ?S6o6.8 642 4797 6o4 I 8.543 o838^^ 667-9 667.0 656.0 656.0 654-0 653.1 662.0 661.1 65o.i 649.2 648.1 647-2 646.3 646.3 644.3 643.4 642-4 64i.S |64o.6 639.6 638.6 637.7 636.8 636-9 634-9 634.0 633.1 632.2 631.3 630.3 629.4 628.5 627.7 6a6.7 6a5.8 624.9 624.0 623.1 623.2 621.4 620.4 619.6 618.7 617.8 616.9 616.1 61S.2 6i4-3 6i3.S 612.6 611.7 610.9 610.0 sec d.l II IT sec. II II II co-tang. di£l" .494 7329 494 07S0 4934180 492 7620 492 1070 491 453o .4907999 490 1 479 4894968 488 8467 488 1975 487 5494I .486 9022 486 2SS9 485 6106 484 0663 4843229 483 680 .483 0390 482 3984 481 7588 481 1202 480 4825 479 8457 .479 2098 478 5749 477 9409 477 3078 476 6756 476 o443 .475 4 1 40 474 7846 474 1S61 473 5284 4729017 472 2759 .471 65io 471 0270 470 4o39 4697817 469 i6o3 468 5399 .467 9203 467 3oi6 4666838 4660669 465 45o8 464 8356 .^^ 22l3 463 6078 462 9962 462 3835 461 7726 461 1626 .460 6634 4699451 459 3376 4587310 468 1262 467 62o3 .4669162 10 10 .0002224 223o 2237 2244 2261 2267 .0002264 2271 2278 2285 >/ 10 10 10 10 10 10 10 10 II tans. 10 2292 2298 .ooo23o5 23l2 2319 2326 2333 234o .0002347 2354 a36o 2367 2374 238i .0002388 2395 2402 2409 2416 2423 .0002430 2437 2445 2452 2459 2460 ,0002473 2480 2487 2494 2S01 25o9 .0002616 2S23 253o 2537 2544 2552 .0002559 2566 2573 2S81 2588 2595 .0002602 2610 2617 2624 2632 2639 ,0002646 0.6 0.7 0.7 0.7 0.6 0.7 0.7 0.7 0.7 0.7 0.6 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.6 0.7 0-7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.8 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.8 0.7 0.7 0.7 0.7 0.7 0.8 0.7 0,7 0.7 0.8 0.7 0.7 0.7 0.8 0.7 0.7 0.8 0.7 0.7 9.9997776 7770 dMiin. 7763 7756 7749 7743 9.9997736 7729 7722 7715 7708 7702 9.9997 co-sec. d.l" 10' So 40 3o 20 10 D' So 40 3o 20 10 8 So 7681J40 76741 3o 20 10 7' So 4o 3o 20 10 6' So 4o 3o 20 lo 5' So 4o 3o 20 10 4' So 4o 3o 20 10 3' So 4o 3o 20 10 2' So 4o 3o 20 10 1 So 4o 3o 20 10 0' 7667 7660 9.9997653 7646 7640 7633 7626 7619 9.9997612 7605 7598 759 7S84 7S77 9.9997S70 7563 7555 7548 7541 7S34 9.9997S27 7620 761 3 7606 7499 749' 9.9997484 7477 7470 7463 7456 7448 9.9997441 7434 7427 7419 7412 74o5 9.999739b 7390 7383 7376 7368 7361 9.9997354 ain. 91° 880 22^ 170 LOGARITHMIC SINES, TANGENTS, &C. \ i; \ 2° 1770 ■in. 8 8 8 8 8 0* I 10 ao i3o ^40 5o 1' 1 10 ■ w 3o % W 10 3o 4o 5o 3' 10 >o 3o 4tt 4' 10 20 3o 4o 5' 10 30 3o 4o So e' B to so 3o 4o 5o 7' 10 30 3o 4o 5o & 10 30 3o 4o Qf 10 20 3o 4o 5o 10' dici" CCMvOC* .5428193 5434217 544 oa34 544624? 545 aa43 545 8234 '.546 42 5470194 5476161 548 2 1 10 5488071 5494013 .549 9948 55o 5874' 55i 179312' -y 55i77o3!^'-« 309.4 588-7 602.5 601.7 600.8 597.6 596.7 595.9 595.1 594.2 1/9*^ •** 592.6 591 .9 587.8 587.0 8 578.4 577-7 6 8 552 94 554 1264 303 2997 CQC 4 555 8851^°^-^ 5564698!^°t« 557o536;^°^-^ 557 6367^^fi 5582190!^°^-^ 558 8oo5 ;2! 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I ' 5i7 5 1 6.7 A.. «/^2 5i6.o 611 6443 r, re 612.598^^-^ 6i.6746jr^i^ 8.6131889'c t« 6i3 7025|^ :^-^ 6i4ai55r:J-5 ^1^5^:8 6«5 23975 6157500'^;-^ 616 7716 617 2810 61778 616 2 6188657 8.6193127 619 81 92 620 325 1 62o83o4 621 335 I 621 8392 8.622 3427 622 8457 623 3480 623849B 6a4 35i I 6248517 8.6a5 35c8 625 85 r 3 626 35o2 6268485 co-ttm;. 11 -4 5o8.8 5o8.3 507.6 507.0 5o6.5 5o5.9 5o5.3 504.7 5o4.i 5o3.5 5o3.o 5o2.3 5oi,8 5oi .3 5oo.6 5oo.i 4995 498-9 498.3 494-6 1 1 6a8 4436j 62893821, . 8.6309111 2^ /^ii 63i4029'j9-^ 63 1 Sgi'i.f^'^ 632 3849 9^'^ 632 875oi^2;!^ 633 3646;^^9;' 8.633 8537 ^QQc 634 34a2 j88-5j 634830I j°7?i 635 3i75JJ^-2l 635 8043 ^^^^ 636 2906 8.636 7764 637 2616 637 7463 638 23o4 638 7i4o 639 1971 8.639 6796 I eo-iin. 486.3 485.8 485.2 484-7 484-1 483.6 483.1 482.5 371 5564 371 0618 3705677 370 0742 3695813 36q 0889 368 5971 368 io58 367 61 5 1 367 1 25o 366 6354 .366 1463 365 6578 365 1699 364 6825 364 1957 363 7094 497-8 497 49^1-7 496. 1 495.5 495.0 494' 493.Q 493.3 II II II II 819C'« II 628 8363 629 33 1 8 6298268 63o32ii 630 8 1 5o 8.63i3o83,^_, 63i 8oioiJ9^-7 632 7848i5^, ;; 633 27581 j^'o 633 7663 j9«-^ 8.634 2563,X° 634 7457l'»®9-^ 635 2345 488.8 TI 363 7094 636 6978 ^"^'^ 363 2236.8.637 1845 "Joa"^ II diCl" 362 7384 362 2537 36i 7696 36 1 2860 36o 8029 .36o 3 204 Me. .{86.1 485.6 485.0 639 1 257 ^ot^ 639 6097 jo t^ 8.640093. ^^^-^ 637 6706 638 1 562 638 64.2 eo-tang. diCl" II II II II II .389 9057 38o3884 388 8717 388 3557 387 84o2 387 3254 .3868m 386 2975 385 7845 385 272. 384 7603 384 2491 .383 7384 383 2284 382 7190 382 21 09 38 1 7019 38 1 .94^ .3806873 3801808 3796749 379 1696 378 6649 378 1608 .377 6573 377 .543 376 6520 376 i5o2 375 6489 375 1 483 .374 6482 374 1487 373 6498 373 i5f5 372 6537 372 1 565 .371 6598 371 1637 3706682 370 1732 3696789 369 i85o .3686917 368 1990 367 7069 367 21 52 366 7242 366 2337 .365 7437 365 ?543 364 7655 364 277a 363 7894 363 3o2a .3628155 362 3294 36. 8438 36i 3588 36o 8743 36o 3903 .359 9069 tang. io.ooo36o2 36.1 36ao 3628 3637 3645 io.ooo3654 3663 3671 368o 3689 3697 10.0003706 3715 3793 3732 3741 3750 io.ooo3758 3767 3776 3785 3794 38oa io.ooo38n 3820 3829 3838 3847 3855 io.ooo3864 3873 3882 3891 3900 3909 10.0003918 3927 3936 3945 3954 3963 10.0003972 3981 3990 4008 4017 10.0004026 4o35 4o44 4o53 4062 4071 io.ooo4o8i 4090 t^ 4117 4126 io.ooo4i35 d.l'' co-sin. 0.9 0.9 0.8 0.8 0.9 0.9 0.8 0.9 0.9 0.8 0.9 0.9 O.S 0.9 0.9 0.8 0.9 0.9 0.9 O. CO-MC. I 9.9996398 63«9 638o 6372 6363 6355 9.9996346 6337 5o 4o 3o 20 10 5o o. 0.9 0.9 0.9 0.9 0.9 0.8 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 o. o. 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 I.O 0.9 0.9 0.9 0.9 0.9 0.9 d.l" 63.? 9 40 6320 3o 63 1 1 20 63o3 10 9-99962943^ 6285 5o 6277 4o 6268 3u 6259 20 6250 lu 9.9996242 '.M 6233 5o 6224 4o 62 1 5 3o 6206 20 6198 10 9.9996.89 :ms' 6180 5o 6171 40 6162 3o 61 53 20 6r45 10 9.99961 36 3'> 6127 5o 61 18 4o 6109 3o 6100 20 6091 10 9.9996082 34 6073 5o 6of)4 4o 6o55 3o 6o46 20 6o37 10 9.9996028 3:i 6019 5o 6010 4o 6001 3o 5992 20 5983 ic 9.9995974,-32 59^i5j 5o 5956 4o 5947' 3o 5938 20 5929' 10 9.999591931 5910 5901 5892 5883 5874 5o 4o 3o 20 10 9-9995865 30' Bin. «8® 870 LOGARITHMIC SINES, TANGENTS, &C. 173 30 1770 em. 3i)' 10 20 3o 4o 5o 31' 10 20 3o 40 5o 32' 10 20 3o 40 5o 33' 10 20 3o 4o 5o 34' I o 20 3(» 4(» 5u 35 10 20 3o 40 5o 36 10 20 3 4 5o 37' H 2C> 3o 4o 5. 38' Id 2Ci 3< 4 5() 31)' 10 20 3o 40 5o 40' dif. r 8.639 6795 040 161 5 640 643o 64 1 1239 641 6043 6420841 8.642 5634 643 0422 643 5204 643 9982 644 4754 644 9520 8.645 4282 645 9<)3b 646 3780 646 8535 6473^76 647 801 1 8.648 2742 648 7467 6492167 649 6902 650 1619 65o63i6 8.65i 1016 65i 5710 652 o4oo 652 5o84 652 9763 653 4437 8.653 9107 6543771 654 843o 655 3o84 655 7733 656 2377 8.6567017 657 i65i 657 6280 658 0904 658 5524 659 « 1 38 8.659 4748 659 9353 66o3q52 6608^47 66i3i37 661 7723 8.662 23o3 662 6878 663 1449 663 601 5 664 0576 664 5i32 8.664 9684 665 4231 665 8773 666 33io 6667842 667 2370 8.667 6893 co-sec. 481.9 481.5 480.9 480.4 479-8 479-3 4-78.8 478-2 477-8» 477.2 476.6 476.2 475.6 475.1 474.6 474.1 473.5 473.1 472.5 472.0 471.5 47 1 -o 470.4 470.0 469.4 469.0 468.4 467.9 467.4 467.0 4(i6.4 465.9 465.4 464.9 464.4 464.0 463.4 462.9 462.4 462.0 461.4 461.0 460.5 459. 459. 459.0 458.6 458.0 457.5 457-1 456.6 456.1 455.6 455.2 454.7 454.2 453.7 453.2 452.8 452.3 tan?. ii.36o32o4 359 8385 359 3570 358 8761 358 3957 357 9159 r 1.357 4366 356 9578 356 4796 3560018 355 5246 355 0480 11.3545718 354 0962 353 6211 353 1465 352 6724 352 1989 ii.35i 7258 35i 2533 3507813 35o 31)98 349 8388 349 3684 .1.3488984 348 4290 347 9600 347 4916 347 0237 346 5563 .1 1 .346 0893 345 6229 345 1570 344 69 1 r 344 2267 343 7623 1 1 .343 2983 342 8349 342 3720 341 9< dif.l" co-taog. 8.6400931 640 5760 64 1 o584 64 1 5402 642 021 5 642 5o23 8.642 9825 643 4622 6439414 6444200 644 8982 645 3758 8.645 85 >8 646 3294 646 8o54 647 2810 647 7560 648 23o5 8.648 7044 649 ^779 649 65ob 650 1233 650 5955 65 1 c)()66 8.65i 5375 652 0079 659 4778 652 9471 653 4«6o 653 8844 8.654 3522 6548196 655 2865 655 7528 656 2187 656 6841 482.9 482.4 481.8 481.3 480.8 480.2 479-7 11.3599069 sec. d.l" 8.657 1490 1 33 co-8in. 341 4476 340 9862 11.340 52 52 340 0647 3396048 339 1 ^5'^ 338 6863 338 2277 1 1 .337 7697 337 3l92 336 8551 336 3985 335 9424 335 4868 ii.335o3r6 334 5769 334 1227 3336690 333 2158 332 763o 11.332 3i07 6576 658 0772 658 5406 659 oo35 659 4659 8.659 9^79 6603893 660 85o2 66. 3i07 661 7707 662 23oi 8.66a 6891 663 .477 663 6o57 6640633 664 52o3 664 9770 8.665 4331 665 8887 666 3439 6667986 667 2528 6677066 8.668 1598 dif.l" sec. 479 478.6 478.2 477.6 477.0 476.6 476.0 475.6 475.0 474.5 473. 473. 472. 472.5 471-9 471.4 470.9 470.4 469.9 469.3 468.9 468.4 467.8 467.4 466.9 466.3 465.9 465.4 464.9 464.3 463.9 463.4 462.9 462.4 462.0 461.4 460.9 460.5 460.0 459.4 459.0 458.6 458.0 457.6 457.0 456.7 456.1 455.6 455.2 454.7 454.2 453.8 453.2 1 0.0004 1 35 co-tang. 359 4240 358 9416 358 4598 357 9785 357 4977 11.3570175 356 5378 356 o586 355 58oo 355 1018 354 6242 11.354 1472 353 6706 353 1946 352 7190 352 2440 35 1 7695 11. 35 1 2956 3508221 35o 3492 349 8767 349 4o48 348 9334 11.3484625 347 9921 347 5222 347 0529 346 584o 346 11 56 11.3456478 345 1804 3447135 344 2472 3437813 3433159 11.342 85 10 34'.^ 3867 341 9228 341 4594 340 9965 34oD§4i 11.3400721 3396107 339 1498 338 6893 338 2293 33? 769 11.3373.09 336 8523 336 3943 335 9367 33547 335 o2vio 11.3345669 334 iii3 333 656i 333 20i4 332 7472 332 2934 ii.33i84o2 co-tiin. dif.l" 4i45 4i54 4i63 4172 4182 10.0004191 4200 4209 4219 4228 4237 10.0004247 4256 4265 4275 4284 4293 io.ooo43o3 43i2 4321 433 1 4340 435o 10.0004359 4369 4378 4387 4397 4406 io.ooo44i6 4425 4435 4444 4454 4464 10.0004473 4483 4492 45o2 45ii 452 1 1 1 0.000453 1 4540 4550 456o 4569 4579 10.0004589 4598 4608 4618 4627 4637 10.0004647 4657 4666 4676 4686 4696 io.ooo47o5 tang. 1.0 0.9 0.9 0.9 1.0 0.9 0.9 0.9 1.0 0.9 0.9 I-O 0.9 0.9 1.0 0.9 0.9 1.0 0-9 0.9 1.0 0.9 1.0 0.9 1.0 0.9 0.9 1.0 0.9 1.0 0.9 1.0 0.9 1.0 1.0 0.9 1.0 0.9 1.0 0.9 1.0 1.0 0.9 1.0 1.0 0.9 1.0 1.0 0.9 1.0 1.0 0.9 1.0 1.0 1.0 0.9 1.0 1.0 1.0 0.9 9.9995865 30' co-sec. 5855 5o 5846 40 5837 3o 5828 20 58i8 10 9.9995809 29' 58oo 5o 5791 4o 5781 3o 5772 20 5763 10 9.9995753 28' 5744 5o 5735 40 5725 3o 6716 20 5707 10 9.9995697 27' 5688 5o 5679 40 5669 3o 566o 20 565o 10 9.9995641 26 563 1 5o 5622 4o 56i3 3o 56o3 20 5594 10 9.9995584 25 5575 5o 5565 4o 5556 3o 5546 20 5536 10 9.999552724' 55 17 5o 55o8 4o 5498 3o 5489 20 5479 'o 9.999546923 546o 5o 545o 4o 5440 3o 543 1 20 5421 10 9.9995411 22' 54o2 5o 5392 4o 5382 3o 5373 20 5363 10 9.9995353 21 5343 5o 5334 40 5324 3o 53i4 20 53o4 10 9.9995295 20' d.1' »m. 92« 87^ n 1 1 174 LOGARITBMIC SINKS, TANGENTS, &C. m^ ITTo •in. fiiC I" 4a'8.6676893Le, ft ()68i4filc i 668 5925 Ir,-'* 669 0434 jc!'? 6694938 669 9437 8-670 3932 6708422 10 20 3o 4o St 41' 10 30 3o 40 10 ao .3o 40 5o 4:V 10 90 3o 40 5o 4l'B.678 4o52 45o.4 449.9 449' S 449.0 448.6 672 6337 8,673 f)8o4 673 5266 673 9724 6744177 674 8626 675 3070 8.67.5 75 10 676 1945 676 6375 6770801 677 5233 677 9640 10 20 3o 4o 5o 45' 10 20 4o So i& 10 20 671 20f>H 671 7389'^^**-i 673 i8(5?|^47.6 447.2 446.7 446.3 445.8 445.3 444.9 4444 444'^ 443.5 443.0 442. 6 443.3 441.7 44i.2 440.8 440.4 439.9 439^4 eo-mic 678 846o 679 2864 679 7263 681) 1657 11.332 3 1 07 33 1 8580 33 1 4075 330 0566 33o 5062 33o o563 11.3296068 329 1 578 338 7092 328 2611 3278135 327 3663 11.32691^ 326 47J4 tftiig. difl I" 452. 452 :I 3260276 6744568 680 6047 1!? 2 8.681 0433 68i48i4 681 9r9t 682 3563 6827931 683 2295 8.683 6654 684 1009 684 5359 685 4o47HHft 685 8385 1„? 8.686 2718 Kb 686 7046 if? 687 1 371 ''''^•^ 6875691 6880007 438.6 438. J 437.7 437.2 436.8 4364 4359 435.S 435.0 434.7 8.6681598 668 61 27 669 o65o .r 6695169'' 9 6724192^^'? 8.670 8697 ^^""-^ 671 3197 671 7692 673 2 1 83 6736669 673 ij5i 8.673 5638 674 0100 335 5833 325 1 374 334 6930 1 1.324 ^4qo 333 8o55 323 3635 322 9199 322 4777 333 o36o rr.33i 5948 331 1 5.40 33071 36 320 3737 3198343 319 3953 ii.3r8 9567 3i8 5i86 3180809 3176437 432.0 431.6 3 17 2069 ^3 2076 3i6 77(»4 683 7§5o ii.3i6 3346 8.684 1719 6749031 675 3490 675 7944 8.676 2393 676 6839 6771279 677 5713 6780147 678 4573 8.678 8996 679 34 1 4 679 7828 680 2337 6806641 681 1043 8.681 5437 681 9839 6834216 6838598 6884318 If-' 8.688 8625 '*^^'^ 689 2928 6897237 690 l521 6905811 691 0097 8.69. 4379 1 6^, 8656lf 7-7 tL 427.3 002 2020'^ L «9^ iWa^\ 43o-3 429.9 439.4 429.0 428.6 428.2 693 5724 8.693 9980 co-tin. 425.6 diCI" 3i5 8991 3i5 464i 3i5o994 3i4 5953 3i4 i6i5 11.3137382 3 132954 3i2 8629 3i2 4309 3ii99q3 3ii56 ii.3ii 1375 3107072 3io 2773 309 8479 3094189 3089903 3o8 562i 3o8i344 3o7 7071 3o7 a8oa 3o68537 3o6 4276 II 6846084 685 0445 685 4801 6859153 686 350I 8.686 7844 6872183 6876518 688 0848 .0 e, 688 5174 If '^433.2 45o.o 449.5 449.1 448.6 448.3 447-7 447.2 446.8 446.3 445.9 445.4 444.9 444.6 444.0 443.6 443.2 442.6 442.3 441.8 441.4 440.9 440.4 44o.i 439.5 4392 438.7 438.2 437.8 437.4 436-9 436.5 436.1 435.6 435.2 434.8 434.3 433.9 433.5 433.0 eo-tniig. flOC 1 1.33 1 84o3 33 1 3873 3309350 33o483i 33oo3i7 329 58o8 11. 329 i3o3 3286803 338 23o8 327 7817 327 333 1 336 8849 11.3364373 325 9900 335 5433 3250969 324 65 10 324 2o56 11.3237607 323 3i6i 3238721 322 4285 321 o853 321 5427 11.321 1004 320 6586 3202172 319 7763 3193359 3188958 ii.3i84563 3180171 3i7 5784 3 17 i4o2 3167024 3 16 265o ii.3i5828i 3153916 3149555 3i43i99 3 140847 3i3 6499 ii.3i3 2i56 3i2 7817 313 3482 3ii 9152 3114826 688 9496r^";-: 3iio5o4 8.689 38. 3^3|-3"-3io6i87 6898126 6902435 6906740 691 in4i 691 5337 8.691 9629 692 3917 430.9 43o.5 43o.i 429.6 429.2 4a8.8 438.3 693 82001 r"*^ 693 347^f ^'^ 693 675S'<'7-^ 694 1036 1 .3o6 ooao 8.694 5293 sec. co-ian§. 427.1 426.6 dif.l' 3io 1874 3o9 7565 3093260 3088959 3o8 4663 ii.3o8o37i 3076083 3o7 1800 3067521 3o6 3245 3o5 8974 ii.3o5 47o8 io.ooo47o5 471 5 4725 4735 4745 4755 10.0004764 4774 4784 4794 48o4 48i4 10.0004834 4834 4844 4854 4864 4874 10.0004884 4894 4904 4914 4924 4934 10.0004944 4954 4964 4974 4984 4994 io.ooo5oo4 5oi4 5o25 5o35 5o45 5o55 io.ooo5o65 5o75 5o86 5096 5io6 5ii6 io.ooo5i26 5i37 5i47 5i57 5167 5178 io.ooo5i88 5198 5309 5219 5229 534o io.ooo535o 5260 5271 5281 5391 53o2 io.ooo53i2 A.V co-»n. tang. co-aec. l.o 1.0 I.o 1.0 1.0 0.9 1.0 1.0 1.0 l.o 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 \4 4894 4884 9.9994874 4863 4853 4843 4833 4822 9.9994812 4803 4791 4781 4771 4760 9-9994750 4740 4729 4719 47 4< 9.9994 20' 5o 4o 3o ao 10 19' 5o 40 3() 20 10 18 5o 4o 3o 20 10 17 5o 4o 3o 30 10 16 5o 4c 3o 20 10 I:V 5o 4o 3o 20 10 14' 5o 4o 3o 20 10 VV 5o 40 20 10 12' 5o 4o 3o 20 10 II' 5o 4o 3o 20 10 10' ■in. •2® LOGARITHMIC SINES, TANGENTS, «k C . 175 30 m^ 9in. 50' 10 20 3o 4o 5o 51 10 20 3o 40 5c 52 10 20 3o 4' 5ol 53 10 20 3u 4o 5o lOl so 3o 4o 5() 55' 10 20 3o 4o 5o 156 10 20 3o 4o 5o 57 10 20 3o 4o 5o 58 10 20 3o 40 5o 59 10 20 3o 4o 5o 60 8.693 694 694 695 695 696 8.696 696 697 697 698 698 8.699 699 699 700 700 701 8.701 702 702 702 7o3 7o3 8.704 704 704 7o5 7o5 706 8.706 706 707 707 708 708 8.709 709 709 dlf.1" 7 7 7 8.7 7 7 7 7 7 8.7 7 7 7 7 7 8.7 7 7 7 7 7 8.7 9980 4232 848o 2724 6964 1200 543 1 ?659 882 8101 23i6 6527 0734 4936 9135 333o 7520 1707 5889 0067 4242 84i2 2578 6741 9204 335o 7493 i63i 5766 9896 402 3 8i46 2265 638o| 0490 4598 8701 2800 425.2 424.8 424.4 424.0 423.6 423.1 423.8 432.3 421.9 421.5 42 !l.I 420,7 420.2 9.5 co-sec. [I 8 ti 8 II .0 •7 8.2 7.8 7-5 7.0 6.6 6.3 5.8 5.5 5.0 4-6 4.3 3.8 35 3.0 2.7 2.3 1.9 1.5 5075 ?»59 3239 73i5 1 387 5456 9520 358 1 7638 1692 5741 0787 3829 7867 1901 5932 9959 3982 8002 co-am. 1.0 0.8 0.3 409.9 409.6 409.1 408.8 408.4 4o8.o 407.6 407.2 406.9 406.4 406.1 405.7 405.4 404. 404.6 4o4.3 4o3.8 4o3.4 4o3.i 402.7 4o2.3 402.0 dif. I'- ll tang. 8 II II II II II II II ,3o6 0020 3o5 5768 3o5 1 520 3o4 7276 3o4 3o36 3o3 8800 .3o3 4569 3o3 o34i 3026118 3o3 1899 3oi 7684 3oi 3473 .3oo 9266 3oo 5o64 3ooo865 2996670 3992480 298 8293 .2984111 297 9933 297 §758 297 1 588 296 7422 296 3259 .2959101 295 4946 295 0796 294 665o 294 25o7 293 8369 .293 4234 2930104 292 5977 292 1 854 291 7735 291 3620 .2909510 290 54o2 290 1299 289 7200 2893104 288 9013 288 4925 2880841 2876761 287 2685 2868613 286 4544 .286 o48o 285 6419 285 2362 284 83o8 284 4259 2840213 ,283 61 7 J 283 2 1 33 282 8099 2824068 282 (X)4i 281 6018 .281 1998 dif.i" 8 8 8 8 8 8 sec. 8 8 .694 5292 694 9555 6953814 6958068 6962318 696 6564 .697 0806 697 5o44 697 9378 698 35o7 698 7733 699 1954 6996172 700 o385 700 4594 700 8799 701 3ooo 701 7197 .703 1390 702 558o 702 9765 703 3946 703 8i22 704 2295 .704 6465 705 o63o 7o5 4791 705 8948 706 3ioi 706 725o .707 1395 707 5537 707 9674 708 3808 708 7937 709 2063 .7096185 oo3o2 o44i6 08527 1 2633 16735 20834 24929 2 9019 3 3io6 37190 4 1269 45345 49417 5 3485 57549 6 1609 6 5666 6971 7376 7 7813 8 i855 85893 89927 93958 co>tang> 426.3 425.9 425.4 425.0 424.6 424.2 423.8 423.4 422 422. 422.1 421.8 421 420. 430 420.1 9-7 9.3 II % 9.0 8.5 8.1 7.6 7.3 7.0 6.5 6.1 5.7 5.3 4 4 4.2 3.7 3.4 2.6 u II sec. II II II co-tang. 3.2 1-7 1.4 I.I 0.6 0.2 409.9 409.5 409.0 408.7 408.4 4079 4076 407-2 406.8 406.4 4o6.o 4o5.7 4o5.3 404.9 4o4.5 4o4.3 4o3.8 4o3.4 4o3.i dif.l" II II. II II II .3o5 4708 3o5 0445 3o46i86 3o4 1932 3o3 7682 3o3 3436 .3o2 9194 3o2 4956 3o2 0722 3oi 6493 3oi 2267 3oo 8046 3oo 3828 2999615 2995406 290 1201 298 7cx)o 2982803 ,297 8610 297 4420 297 02 3 5 2966054 296 1878 295 77o5 .295 3535 294 9370 294 J 209 294 io52 293 6899 293 2750 .292 86o5 292 4463 292 0326 291 6193 291 2o63 290 7937 .290 38 1 5 2899698 289 5584 289 1473 288 7367 288 3265 2879166 287 5071 2870981 286 6894 2862810 285 8731 285 4655 285 o583 284 6515 284 i45i 283 R391 283 4334 2830281 282 6232 282 2187 281 8145 281 4to7 281 0073 .2806042 10 10 d.l" 10 10 10 10 10 10 10 10 tang. 10 .ooo53 1 2 5323 5333 5344 5354 5365 .0005375 5385 5396 5406 5417 5428 .0005438 5449 5459 5470 5480 5491 .(X)o55o2 55i2 5523 5533 5544 5555 .ooo5565 5576 5587 5597 56o8 5619 ooo563o 564o 565 1 5662 5672 5683 .0005694 5705 5716 5726 5737 5748 .0005759 5770 5781 5792 58o2 58i3 .0005824 5835 5846 5857 5868 5879 .0005890 5901 5912 5923 5934 5945 ,0005956 co-stn. 1.1 1,0 1.1 l.o r.i 1.0 1.0 I.T 1.0 1.1 I.I 1.0 1.1 1.0 I.I 1.0 I.I I.I 1.0 I.I 1.0 I.I 1.1 1.0 I.I I.I 1.0 I.I I.I I.I 1.0 1.1 1.1 1.0 1.1 I.I I.I 1.1 1.0 I.I 1.1 1.1 l.l I.I 1.1 l.Ol l.l I.I I.I I.I I.I I.I I.I I.I I.I I.I I.I I.I I.I 1.1 co-sec. 9.9994688 4677 4667 4656 4646 4635 9.9994625 46i5 46o4 4594 4583 4572 9.9994562 455 1 454i 453o 4520 4509 9.99944 44B8 4477 4467 4456 4445 9.9994435 4424 44i3 44o3 4392 438 1 9.9994370 436o 4349 4338 4328 43i7 9.9994306 4295 4284 4274 4263 4252 9.9994241 43 3o 4219 4208 4198 4187 9.9994176 4i65 4i54 4i43 4i32 4l2I 9.9994110 4099 4088 4077 4066 4o55 9.9994044 d.1" 10' 5o 40 3o 20 10 9' 5o 40 3o 20 10 8' 5o 4o 3o 20 10 V 5o 40 3o 20 10 6' 5o 40 3o 20 10 5' 5o 40 3o 20 10 4' 5o 40 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 4o 3o 20 10 V 5o 4o 3o 20 10 0' stn. 920 870 176 LOGARITHMIC 8INES,TAN'&ENTS, &C. 17«o Id 30 3o 4o ■50 1' 10 aci So 2' 10 ■30 ■jO ,40 5o 3 ro 20 '01 H*. 'did*' co-iec. 719 2017 401.2 8.7188003 ., c I'-aSi 1998 !4oi.Si 280 703 280.3971 2790962 a'79^ 5958 379 107 IAil||^* 7196029^ '•* 720 oo3« 1^-9 720 720 4043 400.4 399.4 399.0 398.6 .40 5o 4' 10 20 3o 4(> :5o 5' 10 20 Jo 4o 5o § 10 30 3o 40 5o 7» 10 •'U 3o 4o 5o » 10 20 4o 8.721 2o4o 721 & 722 0024 722 4010 722 7992 723 I97I 8,723 5946 733 9918 -54 3886 724 7«5o :j_^ 725i8ioW-^ 725 5767 gc'] 8.7359721 X^r"'' 726 .§671 |g-^ 7267617 "^^fij^ 727 rlSo 9'' '"'' ^1?5i'393l| 727 9434U7',7 8.728 3366 -^^'^ 1 1.276 7960 8.721 8o63 398 397-9 397 -5 397.2 396.8 •j90'*4 1 1 .276 4o54 8.724 2o3:f : .^^^ 2760082 7246oi8i"?9° 2783966 277 09'76 ^77 5990 277 aoo8 276 8029 2756114 275 3i5o 274 8190 274 4233 8.719 39S8 719 7984 720 3tX>7 720 6027 721 0042 721 4o54' dif.l" 72a 2067 7226068 723 4o59 7a3 8o4i 19 402.6 4oa.3 402.0 4ot.5 401.2 400.9 400.4 4oo.i J99.7 399.4 co'tang. WW. 7240997 725 3972 725 7944 ,3979 397.5 .397.2 T, 396.8 726 ^Qi^l^Z^c 1 1.274 027918.726 58^7' i!^!^*^ '392.8 392.5 392.1 728 7294 729 12191 7295140 75990573 5 8.730 6882 ^^i-o 73 1 0780 |9«-7 73i 4693 -9«'* 73 1 8593 732 2489 732 6383 8.733 0272 7334157 733 8o4o 734 390.0 B9..6 389.3 389.0 388.5 388,3 387.9 386.8 735 74oo[^-^ 7. 36 '''^^Loe'gl 736 5f20'3j.r'r 7.36 8075 S?, 73- ^M^i 8.737 6675 '^Jj-; 738o5i9|®|f 738 436o i^mt'o 738 ®'9**J3fj3'5 74o35i5 3g2_j* 740 7336, ^o,"a 741 1 1 J4 -JO- ji 10 ao 3o 4o 5o W 8.742 74 1 87791 ^fi«', .74a a586r***''7 M-fin. tl'Cl" 373 6320 273 2383 2728441 272 45o2 272 o'566 1 1- 27 1 6634 271 2706 2708781 2704860 270 0943 269 7oa8 it.3693118 2689211 26S 53o7 268 1407 267 75 u 267 36 J 8 11.2669728 3166 5843 aoD 1960 265 8081 265 42o5 265 o333 1 1 .264 6465 264 2600 263 8738 263 488o 263 1025 2627173 11.2623335 261 9481 261 564o 261 1802 260 7967 260 4 1 36 11.2600309 2596485 259 2664 258 8846 358 5o32 258 1231 11.2577414 736 o838 727 J795 727 7749 738 1700' 39*5. 395.7 395.4 395 728 5646 ^;\ 8.738 9389 739 J539 739 7465 730 1 397 7..30 5326 7309252 8.731 3 1 74 73 1 7092 732 1007 7324918 732 88^6 733 273o 8.733 6631 7.34 o53 734 443 734 83 1 3 735 3200 394.3 394.0 393.6 ".2 % 393.9 592.0 391.8 391.5 391. 1 390.8 .390.4 390.1 389.8 389.4 3890 388-7 388-4 Z?5 ^A 388.0 ■AC* 8.735 9964 736 384o 7367714 737 1 583 737' 545o. 7379313 8.738 3173 738 7038 739 0881 739 473o 739 8576 74oa4i9 8.740 6a 58 74 1 0094 74 1 3936 74i 7755 74a i58i 74a 54o3 8.74a 9332 eo-tmif. 387.6 387.4 386-9 386-7 386.3 385-9 385.6 385.3 384. 384-' 3843 383. 383j 383.2 382.9 382.6 382.2 381.9 ii.a8o6o4a 280 2016 2797993 279 3973 2789958 278 3946 11.278 1937 277 7933 277 3932 276 9935 2765941 276 1951 11.2757965 275 3982 275 ooo3 2 -•4 6028 274 2o56 2738088 ii.2734ia3 273 0162 272 6205 272 225l 271 83oo 271 4354 11.271 o4ii 270 6471 270 3535 2698603 269 4674 260 0748 11.2686826 268 2908 3678003 267 2671174 2667270 1 1 .266 3369 265 9471 265 5577 265 1687 2647800 264 3916 1 1.264 f>o 36 263 6160 263 3286 2628417 262 455o 262 0687 11.2616828 261 2972 260 91 19 260 5270 260 1424 259 758 1 11.3593742 2580906 258 6074 258 2245 2578419 257 4597 11.2570778 tang. 10.0005956 5967 5978 5989 6000 601 1 IO.00o6t)23 6o33 6045 tX>30 6067 6078 1 0.0006089 6100 61 II 6123 61 34 6145 10.00061 56 6167 6179 6190 6201 6312 10.0006224 6235 6246 6258 6269 6280 io-0006392 63o3| 63i4 6326 6337 6348 io.ooo636o 63-' r 6383 6394 6406 64 1 10.0006428 6440 645 1 6463 6474 6486 10.0006497 6509 6520 6532 6544] 6555 10.0006567 6578 659fj 6602 66 1 3 6635 ro.ooo6636 dj" C4»-8fiC. I.I I.I I.I 1*1 I.I I.I I.t 1.2 l.I I.I 1.1 I.I I.I l.I 1.2 l.I I.l l.I l.I I. a l.I l.I I.l 1.2 I.l l.I 1.3 l.I l.I 1.3 I.l l.I 1.3 l.I I.l 1.2 l.I 1.2 l.I 1.2 l.I I.l 1.2 1.1 1.2 I.l 1.2 I.l 1.2 l.I 1.2 1.2 l.I 1.2 I.l 1.2 1.3 l.I i.a l.I €«Miin. d.l" 9.9994044 4o33 4o3a 4oii 4ooo 3989 9.99939:8 3967 3955 39if 3^33 3922 9.999391 1 3900 3b89 38— 3b66 385 9.9993844 3833 3821 38io I^S 9.9993776 3765 3754 3742 3731 3720 9.9993708 3(>97 3686 3674 3663 3652 9.9993640 36i7 36o6 3594 3583 9.9993572 356o 3549 3537 3526 35i4 9.9993503 3491 3480 3468 3456 3445 9.9993433 3423 3410 3398 3387 3375 9.9993364 W 5o 4o 3o 20 10 5!) 5o 4o 3o 20 to .58 5o 40 3o 20 10 .57' 5o 4o 3o 20 10 5() 5o 4o 3o 20 10 5o 4o 3o 20 10 '>4' 5o 4o 3o 20 10 .53 5o 4o 3o 20 10 r,2 5o 4o 3o 20 10 51' 5o 40 3o 20 10 50 •in. ''#9** 66<> LOGARITHMIC SINES, TANGENTS, &C. 177 3" i7e«> tin. dif. l" 10 10 20 3() 4«» 5.. 11' 10 20 3< 4' 5' 12' M> 20 3o 40 5<. 13 Ui 3<» 3( 4(1 5o 14 10 20 3 5o 16 10 20 3o 4<' 5i. 17' 10 20 3(. 4«' 5o co-sec. tang. dif. I" 7456390 380.1 743 3j?8^79-7 743 7783 ^79f 7441573^79* 87445360^78.7 7449144 3^8^ 745 2925 3' g 745 6703 J'', 74604773^^7 746 4248^77.1 8.7468015 747 1780 7475541 747 9299 748 3o53 748 68o5 8. 7.-^9 o553 749 4297 749 8039 75<» 1777 750 55 r 3 75f) 9244 8.751 2973 75 1 6699 7520421 752 4i4o 752 7856 753 1569 8.753 5278 753 8984 754 2688 7546388 755o<»85 755 3778 8.755 7469 756 1156 756 484o 756 8522 757 2200 757 5874 8.757 9546 758 3215 758 688<> 759 o543 7594202 759 7859 II 8 II II II II 7608809 453 l^i' 8.760 i5i2 i«) 7605162 ao 3 4o 5< 11)' 10 ao 3o 40 5o 2-' 761 a45 761 6094 761 9731 8.762 3366 762 6998 763 0627 7634252 763 7875 764 «494 8.764 5iu 376.7 376.5 376.1 375.8 375-4 375.2 374.8 374-4 374.2 373.8 373.6 373.1 372,6 372.3 371.9 371.6 371.3 370.9 370.6 370.4 370.0 369.7 369.3 369- 1 368.7 368.4 368-2 367-8 367-4 367-2 366-9 366.5 366.3 365-9 365-7 365-3 365.0 364-7 364-4 364-1 363-7 363.5 363.2 362.0 362-5 362.3 361.9 361.7 257 74f4 257 36io 2569809 256 6012 256 2218 255 8427 .255 464o 255 o856 254 7075 a54 3397 353 0523 253 5752 .253 1985 2528220 252 4459 252 0701 25 1 6947 25i 3195 .25o 9447 8 8 8 8 8 II 8 II II co-am. dif.r* 25o 5703 aSo 1961 3498223 249 4487 2490756 -248 7027 248 33oi 247 9^79 247 586o 2472144 246 8431 3464723 246 1016 2457313 a45 36i2 a44 99i5 a44 0332 .2442531 243 8844 243 5i67428 7440 7452 7465 7477 7489 d.!" ii.23o4223 iox>oo75o2 35" .0 356.6 3564 356.1 355.8 355.5 355.2 354.9 354.7 354.3 354.1 353.8 353.2 23oo633 2297046 2293461 228 9880 228 6303 11.2282726 2270154 227 ^584 227 2018 2268454 2264893 11.226 i3i5 2257780 2254228 2250679 2247132 ditV 11.21432478.7864861 »«c co-tang. 3524 352.1 35 1. 8 35i.5j 35i.2 350.9 35o.7 35o.4 35o.i 349.8 349.5 349.3 349.0 348.7 348.4 348 347-9 347-6 347.3 347.1 346.7 346.5 346.3 345.9 345.7 75i4 7626 7539 755! 7564 10.0007576 7589 7601 7614 7626 7639 10.000765 r 7664 7676 7689 7701 224 3580 77r4 1 1 .224 tx>.f8 \0j0ooTj76 22365to 7739 223 2975 775i 222 9443 7764 222 5914 7777 222 2388 7789 1 1-22 1 8864 10.0007802 diCl" 221 5343 221 1825 22o83lO 2204798 220 I 389 11.2197782 2194278 2190777 2187279 218 3784 2180291 11.2176801 217 33r4 2169830 2166349 2162870 2159394 11.2155921 2i5 245o 2148983 2i455i8 2142055 213 8506 ii.2i3 5iJ9 7815 7827 7840 7853 7865 10.0007878 7891 7903 7916 7939 7941 10.0007954 7967 7980 Z993 8oo5 8018 io.ooo8o3i 8044 8057 8069 8083 8095 iox>oo8icS tanf. 1.2 1.2 1.3 1.2 1.2 1.3 1.2 1.2 i3 1.2 1.2 1.3 1-2 1.2 1.3 1.2 1.3 1.2 1.3 1.2 1.3 1-2 1.3 1.2 1.3 1.2 1.3 1.2 1.3 1.2 1.3 1.2 iJ 1-3 1-2 1-3 1.3 1-2 1.3 1.3 1-2 1.3 1.3 1.2 1.3 1.3 1.2 1^ 1-3 1.3 1.3 1.2 1.3 1.3 1.3 1.3 1.2 1.3 1.3 i3 eo-mn. eo-iec d,l' mo 9.9992646 2634 2622 2609 2~ 2 9.9992572 256o 2548 2535 2523 25ll 9.9992498 2486 3474 2461 2449 2436 9.9992424 2411 2399 2386 2374 236i 9-999^349 2336 2324 a3ii 22 22^6 9.9992274 2261 2249 2236 2223 2211 9.9992198 2i85 2173 2160 2147 2i35 9.9992122 2109 2097 2084 2071 2059 9.9992046 2o33 2020 2007 1905 1982 9.9991969 1956 1943 1931 1918 1905 9.9991892 40' 5o 4o 3o 20 10 39' 5o 40 3o 20 10 3.5' 5o 4o 3« 20 lu 37' 5o 4o 3f 20 10 36' 5o nn. 40 3o 20 10 a-. 5o 4o 3o 20 10 34 5o 40 3o 20 10 33 5o 4o 3o 20 10 32' 5o 4o 3o 20 10 31' 5o 4o 3o 20 10 30' 86° LOGARITHMIC SINES, TANGENTS, ^ 801 5598 11 8.801 89.5|^^;:^5 802 223o 33 802 5542 8028851 8o3 2i58 339-5 339.3 339-0 338-7 338-4 338 2 338.0 337.6 337.4 337-21 336.9 336.6 336.3 336.1 335.Q 335.5 335.3 335.1 334.8 334.5 11.21432478.7864861 2 1 3 9806 213 6368 2i3 2932 212 9499 212 6069 11.212 2641 211 9217 211 5795 211 2375 210895 210 554 II. 210 2i33 209 8725 209 5319 209 1916 208 85 1 5 208 5ii7 11.208 1722 dif.!" co-tang. 2 33o-9 330.7 !33o5 803 5463„^, 8.8038764:^^^-; 804 2o64j^°-^ 8o4 536Th^^9-7 804 8655,, Jn 805 ^9^7\lll'l 8o5 5236 ^^°'9 8.8o5 8523 328.7 co-Bin. dif.!" 786 83i5^^5f 7875215 -iVjiI 78786611^44-6 788 2io4:o1to 8.788 5544 oITr 7888982^43.1 789 ^417,343.2 789 5849,3^3 o 789 9279 342.7 « ^^ ft^?^'342.4 8.7906130 3 2 790955234, 79' J971 341.6 79'6387|34,3 79198003^^.1 79^321113^ — -i--«-792 6620 3 J 2078329 79300253 3 2074939 79334283^^ .._.^A., 7936829-3^ 7940226339^ 7943621I33V3 8.7947014,33^0 795o4o4J33g 795 379'!338.4 7?5 7i75|338.2 7?6o557l338o 7963937:33^.6 8.796 73i3 33 4 7970687)33^.2 797 4059 33g 797 7428i33gg 7980794335.4 798415833Q., 8-7987519335.9 799 0878 335.g 7994234,335.3 799 7587,335. J 80009383348 .^4286334.6 8.8007632133^.3 8010975,334., 801 43i6 333.8 801 7654 333.5 8020989333.4 802 4323 333 o 8.802 7653 332 8 8030981 1 332^5 8o3 43o6 332*3 803762933^:, 8040950 33, 8044267 1 33,^6 8.8o4 7583,33 3 8050896,,^ ■ 1954639 8o5 42o6"*'^'" ■ec. d-1' 207 id52 2068168 206 4786 11.206 i4o6 2o5 8o3o 2o5 4656 2o5 1284 2047915 204 4j49 11.204 1 186 2o3 7825 2o3 4466 2o3 1 1 1 I 202 7758 202 4407 11.202 1059 201 7714 201 4371 201 io3i 200 7693 200 4358 11.200 1026 1997696 1 99 4369 199 io44 1987722 1984402 11.198 io85 197 7770 1974458 197 1149 196 7842 1964537 II. 196 1236 195 7936 195 1 345 1948053 1944764 11.194 1477 sec. 8o5 75i4 8060819 8o64t22 8.806 7422 330.8 33o.5 330.3 33o.o co-tang. ii.2i3 5i3 2i3 168 212 8234 2124785 212 1339 211 7896 1 1.21 1 4456 211 1018 210 7583 2io4i5i 2100721 2097294 11.2093870 209 o448 208 7029 2o8 36i3 208 0200 207 6789 1 1 -207 338o 2069975 206 6572 206 3171 2o5 9774 2o5 6379 ii.2o5 2986 2o4 9596 2o4 6209 2o4 2825 2o3 9443 2o3 6o63 ii.2o3 2687 202 93 1 3 202 5 202 2 201 9206 201 5842 11.201 2481 2009122 2005766 200 24 1 3 1999062 199 5714 II. 199 2368 198 9025 1985684 198 2346 197 9011 197 5677 II. 197 2347 1969019 196 5694 196 2371 195 9o5o 195 5733 II. 195 2417 1949104 194 5794 194 2486 1939181 193 5878 1 1. 193 2578 dif.l" 10.0008108 8121 8i34 8147 8160 8173 10.0008 1 85 8198 8211 8224 8237 8250 10.0008263 8276 8289 83o2 83i5 8328 1 0.000834 1 8355 8368 838 1 8394 8407 10.0008420 8433 8446 8459 847^ 8486 10.0008499 85i2 8525 8539 8552 8565 10-0008578 8592 86o5 8618 863 1 8645 io.ooo8658 8671 8685 8698 8711 8725 10.0008738 8751 8765 8778 8792 88o5 10.0008818 8832 8845 8859 8872 8886 10.0008899 tang. 1-3 1.3 1.3 1.3 1.3 1.2 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1-4 1-3 1.3 1.3 1.3 1.3 1.3 1.3 1.3 1.4 1.3 1.3 1-3 1-3 1.4 1.3 1.3 1.3 1.4 1.3 1.3 1.3 1.4 1-3 1.3 1.4 1.3 1.3 1.4 1.3 1.3 14 1.3 14 1.3 1.3 14 1.3 1 4 1.3 1 4 1.3 9.9991892 1879 co-Bin. 30' 5o 40 3o co-sec. 1866 i853 1840 1827 9.999181529' 1802 1789 1776 1763 1750 9.9991737 1724 1711 1698 i685 1672 9.9991659 i64d i632 1619 1606 1593 9.9991580 i567 i554 i54i l527 i5i4 9.999150 1 i488 1475 i46i i448 1435 9.9991422 i4o8 1395 i382 1369 i355 9.9991342 i329 i3i5 l302 1289 1275 9.9991262 1249 1235 1222 1208 1195 9.9991182 1168 ii55 ii4i 1128 iii4 9.9991 101 d.1" 20 10 5o 4o 3o 20 10 2a' 5o 4o 3o 20 10 27' 5o 40 3o 20 10 26' 5o 40 3o 20 10 25' 5o 40 3o 20 10 24' 5o 4o 3o 20 10 23' 5o 40 3o ao 10 22' 5o 4o 3o 20 10 21' 5o 4o 3o 20 10 20' ■in. 93° g6° 180 LOGAEITHMIC SINKS, TANGENTS, ^fec 3^ 1T««» a I ill J* tt^-mx. m lO ao 4o 8A>5 85a3^3^g_5 ii. 1941 477 5o 806 itktH'.^ ^ 8068369:;,:!; 807 4920: :;^,'; 4l'|SJo7 8i93^^,"^ to 808 i462.3^j^'° ooo 799'*' 3»|; «» 000 ''233'! 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U.Z i.-ii 320.0 019 4234 ,^,, / 81974 38if^'* 8'aoo63r''^^'^-' 8.819 4363^ 3, g 3111.180 563'?|8.8ao 1899710 1^9643? 11.1893166 1889898 188^6632 188 3369 1880107 1876849 11.187 3593 1870339 1867088 186 3839 186059a 185734?* ri.i854io4i 1850867 184 763ci 1844395 184 1 163 1 83 7934 ii.i83 4-'o6 i83 1 48 1 182 8259 18a 5o38 1 8a i8ao 1818605 II. 181 5392 181 2181 i8o89-'a 180 5^66 180 2562 J799%i 8'i9 7546]3,8;, 8aoo7'2-7"!3j^g 8ao 3905 ' 3 1 ^ 'fi 8ao'7oSi!3j^"3 821 025i ■»,,", •«.8ai 3425'J' fi*! 10 8ai6594,fi? 8219^13,5^ 822 ^9^53,5 2 822 608^1 3 J ij"^ 8ao t3i9.4 11 aoi *>9i '9"^» 1315x1 17802I 3o 822 2925'3,g"I'' i-'-'-wj'S 4o 822 608^; 3 , ij" ' I ^' 391 3 ,5o 82'a 9246'. 3 , 5 g 1 "" o-5ij 8,823a,4b4 7,c"s II 8a3 5559^^^ 8a3 87ii ''"'^ 180 2454 fyg 9273 1 -9 tx>95 1-^9 igtq 1-89-46 i78 65^'5,8.822 29^4 ^'2 •, 1-8 3406; 82a 6167: fj-^ 8a2 934^, ®'® 821 2326 ^*^-9 ^,X3io.o ^'^vv'"* 3838|| 2, "•'796'6? 7o35|^' ?-'^ 1793963 8a 1 0229I3 - 3 82 ( 3422' £'? 82i66ii'^;°-9^ «^!?Z2?3;8;5 8a 3 5701 317.5 US' 10 to nJWJr 4o '0'|8.8a5 ia99 8a3 8875^'7'^ 176-5968.8242046:^*7' 824 52 1 5 -^'^-9 824 1862.' 3 J Vg 8a4 5oio,, ,'fi 8a4 8i563;j3 1764441 176 laSo 1-5 81 38 1-5 499:> 1-5 1844 11.1758701 8a4838a 8a5i547 J 10.7 j 3i6.5' 3 16. a iiit i" •ec 8254709, ^" 8a5 7869»'?" 8.8a6ioa6^'^" 9 296 1789-71 1786578 1 78 3389 178020? 1 1. 177 7016 1^-3833 1770653 I "^ -474 1-64299 176 1125 11.1757954 175 4^85 175 1618 1748453 174 5291 I74ai3i 11.1738974 m-tMos. idiCl" uac. 10-0008890 8913 8926 • 8940 8953 8967 10.0008980 8994 9007 9021 1 9o35: 90^8 10.0009062' 90-5 9080 91 o3, 91 16 9i3o 10.0009144' 915- 91-1 9l85; 9 ''9^1 921 a| 10.0009226; 92401 9253! 930T' 9281 9295! 10.0009309 9322 9336| 9350 936^1 93781 10.000939?' 94o5 9419I 9433 9I4- 9461 10.0009.i75 9480 95oi; 95 it' 953 1 9545 10.0009559I 95'-r3! 9587 9601 9615 96a9 10.0009643 96571 9671 9685; 9^! 9713 10.0009727 4 9999"o» •31 1087 .3 .4 •■Of .4 .3 1074 1060 104- io33 ,19.9991020 31 ****:'6 4| **99'3' -4 **9-9 3 *N65 ^1 095 3 *3!9.999093,s -4; 0925 0897 o884 0870 3! 9 999085^ 17' 0843 0829 o8i5 0802 0788 -4 .3; 4 3 ■4 .4 .3! •^ •4 •3 4 .4 4 j 9-9990691 0678 5o 4o 3o 20 10 I!»' 5o 4o 3o ao 10 lb' 4o 3o 20 10 9.9990774 0760 0747 0733 0719 07o5 0664 o65o 0636 •59-9990608 4 ^^5 4 o56i o567 o553 0539 49-9990525 A *^5i ■•4' 4 4 i «455 39.999044 r 4 4 4 4 co-«ec |ci''' 1 9999035^ •^' o343 0320 o3i5 o3o 0287 99990273 4 4' 5o 4o 3o 20 10 16 So 4o 3o 20 10 l& no 4o 3o 20 10 14 5o 4o 3o 20 10 ItV So 0497140 0483 3o 0469 20 10 12' 5o 4o 3o ao 10 II So 4o 3o 20 10 W 042 o4i3 0399 o385 o3-. •3^ LOGARITHMIC SINES, TANGENTS, dec . 181 30 17«= 50' 10 ao 3o 4o So 51 10 ao 3o 4o 5o 5i' 10 ao 3n 4o S<> 53 10 au 3( 4<) So S4 iin. 4if.r 3i4.i co-sec. 8.825 1299 8254440 3,3 q' 825 -579!,. ^x* or ■ £lJl J-7 826 385o^3^-f 8266982^ ^; 8.82701125 f« 827 324o 827 6365 827 9488 828 2609 8a8 5728 II 3i2.5 3ia.3 3ia.i 8.8a8 8844K!!x 8291958^^''-'* 11 II tang. dif.l" 8 8. 3ii.a 310.9 3 10.8 3 10.5 3 10.3 3io.i 309.8 309.6 3094 i(» ao 3o 40 5.1 55 III au 3<"j 4o 'k 56* 10 20 3o 4o So 57 lO 20 3o 4o So 5d 10 ao 3o 4o So 59 )• •ji 3.. 4< 829 3070 8298179 830 1 287 830 4392 8.8 3o 749S 8310596 83 1 3694 83 1 6790 83aa9T6r9^ 8.832 6o6*>r9*!i 833 2238 J^ 1 833 5321 ^'^'^ 833 8402 834 1 48 1 8.834 4557 834 7631 835 O7o3 3oS.i 307.9 3o7-6 307.4 307.2 II 8 II 8 II. 033 070 J 3q_ J, 835 3773 1^ f. 835684. g^:^ 83:»99i6 3^3 8.8362969,3^^ 836 909013^3 g 8J7 J 14613^,5 5 5i7 ->^Om3o5 3 837 8234 3o5"o 8.838 i3o4;^^o 838 4352Jg^;° 838 739Sj3^^^ 839 0442 U-, 839 3484!^^ 839 6323(3^3 g 8.839 956 1! 3^315 II II 84o 2596 84o 5629 840 86 3 1 84i 1690 84i 4716 8.84 1 7741 84a 0764 84a 3784 8426803 842 9819 843 2833 S(yl8.843 5845 co-tin. 3o3.3 3o3.2 302.9 3o2.6 3o2.5 3o2.3 3o2.o 301.9 3oi.6 3oi4 3oi.2 II II ditl" 174 8701 8 i74S'56<") I -4 242 1 1739284 i736i5o 173 3oi8 1729888 17a 0760 172 3635 1720S12 171 7391 171 42-72 171 1 1 56 1708042 170 4930 170 1821 1698713 1695608 ,1592505 168 9404 i68 63o6 168 3210 1680116 1677024 .167 3934 167 084":' 166 7762 166 4679 166 1598 1638319 i65 5443 i65 2369 1649297 164 6227 1643159 1640094 i63 7o3i i63 3969 1630910 162 7854 162 4799 162 1746 .16186968 161 5648 161 a6o2 1609558 i6o65i6 160 3477 ,16004398 1 597404 1594371 iSo 1 339 i58 83io iS8 5a84 .i58a2Sg8 1 57 9236 1S76216 1 573107 1570181 1567167 i564i55 eo-tanf. sec. .826 1026't c fi 8264182!^ J-^ 8267335^^-^ 827 04853 J^ 8273634:3 J /? 8^7 678o!^;t5 .82799243 . 828 3o56 ,7^ 828 6206 ^;f^ 828934313^35 8^9^4783.3.3 82956113,3^^ .8298^41 3,31. 83049963 4 83o8i.93^'^ 83i i34i 3"-^ 83i 4360, Z 83i 7478 f.? 832oS93| -^ 832 37o5'3jjj 832 63i6",,^"q .833 6.341^^; 833 9236^^-^ 834 2336'^*^-^ 41' 309.- 309.5 8 8 11 II II II. ■ee. 8 834 5433 834 8528 q • , 835 1621 :5^f .83547123^' 8357801,^,? 836o887;S«/ 836 39-.!^^-^ 836 7053 3 «• 837 0.33;3«8x' •837 321 1 3^^ V 837 628-! f^-^ 837 936o:^^-^ 838 2432irZ- 838 55oi!^;9 838 8308' ,v^ r 839 •633:]^-J 8394^3953^;, Rx2o8iii3o5.8 8400814 3^5 840 3871 t,^c / 84069^5:33°:^ •84o?977|3„5,,/i 841 ^^: 3o4.8 841 6075 3^4 6 ^/ 9'^i 3^.3 84221643^, 84a 5206^4-^ .84a 8245 r [9 „ 8431282^3;^ 8434318U .^'^ 843 735i'^^-^ 844 o382 8443410 844 6437 11.1738974 10.0009727 173 58 18 974> 173 2665 9755 1729515 9770 17a 6366 9784 17a 3220 9798 1 1 . 172 0076 10.00098 1 2 171 6934 9826, 171 3794 ^40 171 o657 98S5 I70 75aa 9869 1704389 9883 11.170 1259 10.0009897 1698131 99«i 169 5oo4 9926] 169 1881 9940, 1688759 9954| 168 564o 9968 ii.i68aS22 10.0009983 167 9407 10.0009997; 1676295 10.001001 1| 1673184 0026, 167 0076 oo4o 1666970 oo54 11.166 3866 10.001 0060 166 0764 oo83: 1 65 7664 0097 1654S67 01 1 a 1 65 1472 o'26 1648379 oi4i! 164528810.0010155 164 2199 0169 163911 3 oi84 1 63 6029 0198} i63 2947 02 1 3 162 986- 0227 ,162678010.0010242 1623713 0256 162 o64o 0271 9.9990273. !(>' 0230 So e«>-flin. 1.4 1.4 I iiJi i4 i'4 I*49-9990>88 i4 1.5 1.4 1 .4' Jj 9.9990103 1.4 1 4 1.4 1.5 oa4 oa3o oai6 0202 01-4 0160 0145 oi3i 0117 4o 3o 20 10 y So 4o 20 10 8' So 00-4 40 0060 3o oo|6l 20 10 7' So oo32 ,9.9990017 19.9990003 79.99899^9 4o i4| 99-4 ^ ;! 9946 ;>-998??3. 99':: 9903 9888 98-4 9859 eo4aiif. 3o3.i 3o2.8 3o2.7 161 7568 161 4499 161 1432 .160 836; 160 S3o5 160 aa44 1599186 1596129 1593075 .1590023 158 69^3 158 3925 i58o8t9 157 7836 1574794 .i57 1755 1 56 8718 156 5682 1562649 1559618 i65 6590 0285 o3oo o3i4 10.001 o32 o34 o358 0372 o387i o4o2i 10.0010416 043 1 0445 0460 0475 0489 10.001 o5o4 o5i9 o533 o548 o563 oS: 1-4; i-4l 1.5 1.4^ 1.5 1 4 1-5 I -41 I;] 9-9989758 1.5, 9744 i4 972 1-5 ?ZL. A 9700 ;f 96B6 ,4 999896: » 1. 5 3o 9960] 20 10 6' 5o 4o 3o 20 10 5' So 40 3o 20 10 4' 9831 9816 9802 9787 9773 I o&l 1.5; 1.5 1.4 1.5 1.4; i.Sl 1.5 14! 5 .5 i4 1.5 1.5 1 4 1.5 ii.i55 3563 10.0010S92 96S 9642 9628 9613 9598 9.9989584 956^ 95S3 9540 9525 1 5 95' I 9467 9452 9437 9423 9.9989408 ditl" VUQkfii* OO-MC 'AV 5o 4o 3o 20 10 3' So 4o 3o 20 10 2' 5o 40 3o 20 10 1' 5o 4o 3o 20 10 930 86° 1'0« LOGABITHMIC SINES, TANGENTS, &C. 175° SI'llw 8v843 S845 843 8855 844 1 863 844 4W>o 73\ 3oo.6j 844 7^73! -^r^"' 845«:*74, , 8.845 3874L,;;;;-" 845 9^;f>'r99A 84rt'>86<„>!^99-^ 299. ;>98.9 846 5851 846 8840 8.84? '827 847 48 1 a ^^7 77951 .^,^_, 848o776Lr; _ 11') 3<. 41: 5(; 1' 10 X) 4o So Kl 3( 4o ■JWj 3' 10 70 3<. 4o 4' 10 3a 4<» 5t 5' 10 20 3o 4o 5o 6' 10 ao 3o 4o 5o 10 20 3o 4o 5o 8' 10 20 3o 4o 9' 10 ao 3o 4o 5o 10' 8.861 2833 'die loin "-'^4155 ^*^'*° i56ii45 1 55 81 37 i55 5i3i 1 55 2 1 27 1 54 91 26 If .1546126 i54 3i2- 1 54 oj 3. 1537140 1 53 4149 1 53 1 160 tanf. diC I ' ' co-tang. ? 848 3755,^^, 848 6-32 '97 8.8489707 97-^ 849 2679 849 565o 8498619 85(h5n5 8'5o 455o 8.85075 1 3 85 1 0473 85 1 343 1 85i 6388 85 1 9342 852 3995 8.852 5245 ^9^*5 1 1. 1 528173 298:3 '^^5r88 ^ 1 52 22o5 i5i 9224 1 5 1 6245 i5i 3a68 297-2 297-1 296.9 2966 296-5 296.2 296. 1 295.8 295. ■; 295.4 295.3 295.0 852 8193 ?9j-^ 853n4oN-7 853 4o84^2t; 853 7056 .^r." 853 996^ jr*- 8.854 2905 '9j-» 854 5842 '9^] 854 8776 3'9^-4 855 «7o8r9^-2 8.8560493 9^-^ 856 34 1 8 856 63jo 8569261 857 2 1 79 857 5096 8.8578010 858 0923 858 3834 858674a 858 9649 859 2554 8.859 5457 859 8357 860 1256 86041 53 8607048 8609941 8.844 6437 8449462 845 2485 845 55o5 845 8524 8461 540 8.846 4554 846 7567 847 o577 847 3585 8476591 8479595 8.848 2597 848 5597 848 8595 840 1 590 8494584 8497576:^ ii.i5i o293 8.85oo5()6l 3oa.5 3o2.3 3o2.o ^^'*9 3oi.6 iioi .4 3oi.3 3oi.o 3oo.8 3oo.6 3oo.4 3oo.2 3oo.o 299.8 299.5 399.4 299.2 990 see. II CO-SIII. 292.5 292.2 292.1 291.8 291.7 291.4 291.3 291 390.8 290.7 290.5 290.3 290.0 289.9 289.7 289.5 289.3 289.2 1 5o 732 1 i5o 43 5o i5o i38i 1498415 149 545o . 1 49 2488 i48 ^527 1486569 i48 36i 3 i48o658 !47 77"5 11.1474755 147 1807 1468860 146 5916 1 46 2974 146 oo33 11.1457095 145 4 1 58 i4Srfip24 85o 3553 im 85o6539^^-5 850 9522 =*?8-3 85i 25o4 '98-2 85 1 5483 '97-9 8.85i 846i 852 1436 85a 44 10 852 738 1 853o35i 853 33 1 8 8.8536283 853 9247 854 2208 854 5i68 8548125 855 1081 8.855 4o34 8556985 did'* 144^292 144 536 1 144 3433 11.1439507 1436582 i43 366o 143 0739 143 7821 143 4904! 11.143 1990 i4i 9077 i4i 6166 i4i 3258 i4i o35 i4o 7446 11-1404543 i4o 1643 1 39 8744 139 5847 1 39 2952 1390059 855 9935 856 2882 856 5828 8568771 8.857 171 3 857 4653 ^94.o ' 293.7 293.6 393.4 393.1 293.0 392.8 857 7590 858 0526 858 3460 858 6391 8.8589321 859 2249 ___fi 859 5175 ^?2-o 8598099 860 1031 8603941 II. 155 3563 i55o538 i54 75i5 1544495 1 54 1476 1.53 8460 11.153 5446 1533433 1 52 9423 i52 64i5 1 52 3409 1 53 o4o5 ii.i5i 74o3 i5i 44o3 i5i i4o5 i5o84io i5o54i6 i5oa434 11-1499434 1496447 1493461 149 0478 1 48 7496 297-8 „ MS ^ci^ 2n-T'iM'-*48i539 147 8564 147 5590 147 2619 1469649 1466682 I46 37I7 1460753 145 7793 1454832 i45 1875 1448919 1445966 i44 3oi5 1 44 oo65 1437118 1434173 143 1229 Ii.i4a8a87 1 4a 5347 i4a 2410 i4i 9474 i4i 654o 397.5 397.4 297 397.0 296 7 296.5 296.4 ' * 296 296.0 295.7 295.6 295.3 295.1 u. 295.0 294-7 294.6 294.3 294.2 i4i 36od ii.i4i 0670 10.0010592 0607 0622 o636 o65i 0666 10.0010681 0695 0710 0725 0740 0755 10.0010770 0784 0799 0814 0839 0844 10.0010859 0874 0889 0904 0918 0933 10.0010948 0963 0978 0993 1008 I023 10.001 io38 io53 1068 1084 1099 1114 10.0011129 ii44 it59 U74 1189 1304 10.0011220 1335 i35o 1365 1280 1295 d.l' 1-5 1.5 i.4 1.5 1.5 1.5 1.4 1.5 1.5 1.5 1.5 1.5 1.4 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.4 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.6 1.5 1.5 1.5 1.5 C1V4III. 9.9989408 9393 9378 9364 9349 9334 9.9989310 930 5 929c 9275 926^ 9245 9.9989230 9216 9201 9186 9171 9i56 9.9989141 9126 9111 9096 9082 9067 9.9989052 9037 9022 9007 8992 8977 9.9988963 8947 4i 0679 10.001 i3r I 8.8606859 8609775 861 2689 861 56oi 86i85i3 862 1420 I i.i38 7167(8.862 4327 292.4 292.2 392.0 291.8 291.6 391.4 391.3 291.1 290.8 290.7 II i4o775i 1404825 i4o 1901 1398979 1396059 i393i4i l30 0225 i38 73ii 138 4399 i38 1488 1 378580 11.1375673 ■«c Go-tanf. diCl" tanf. 1326 l34i 1356 137a i387 10.0011402 1417 1433 1 448 1463 1479 10.001 1 494 1.5 1.5 1.5 1.5 1.6 1.5 1.5 1.5 1.5 1.5 1.6 1.5 1.5 1.5 1.6 1.5 1.5 1.5 1.6 1.5 1.5 1.6 1.5 8932 8916 8901 8886 9.998887 8856 8841 8826 8811 8796 9.9988780 8765 8760 8735 8720 8705 9.9988689 8674 8659 8644 8628 86 1 3 9.9988598 8583 8567 8552 8537 85ai 9.9988506 CO-MC d.r ■m. 60' 5( 4o 3o 20 10 5fl' 5o 4o 3o 20 10 G«' 5o 4o 3o 20 10 .57' 5o 4o 3o 20 10 .%' 5o 40 3o 20 10 55' 5o 4o 3o 20 10 54 5o 4o 3o 20 10 5.3' 5o 4o 3o 20 10 52 5o 4o 3o 20 10 51' 5o 40 3o 20 10 940 LOGARITHMIC SINES, TANGENTS, &C. 183 40 175° am. diCl' 10' 10 30 3o 4o 5o 11 10 20 3o 40 5o 12 10 20 3o 40 5o 13 10 20 3o 40 5o 14' 10 20 3o 40 5o 15' 10 20 3o 4o 5o 16 10 20 3o 40 5o 17 lo 20 3o 40 5o 18 10 20 3o 4o 5o 19' 10 20 3o 4o 5o 20' 85° 8.861 2833 861 5722 861 8609 862 1495 862 4378 862 7259 8.863 0139 863 30I7 863 5893 863 8766 864 1 638 864 45o8 8.864 7376 865 0243 865 3 107 8655969 865 8b3o 8661689 8.866 4545 8667400 867 0253 867 3io4 86-7 5953 867 8801 8.868 i646 868 4490 8687331 8690171 869 3009 869 5845 8.8698680 870 l5l2 8704343 870717' 8709998 871 2823 8.871 5646 871 8467 872 1287 872 4io5 87a 6920 872 9734 8.873 2546 873 5357 8738165 874 0972 874 3776 8746579 8.874 9381 8752180 875 4977 875 7773 876 0567 876 3359 8.8766150 876 8938 877 1725 8774510 877 7293 878 0074 8.878 2854 co-sec. 288.9 288.7 288.6 288.3 288.1 288.0 287.8 287.6 287.3 287.2 287.0 286.8 286.7 286.4 286.2 286.1 285.9 285.6 285.5 285.3 285 284.9 284.8 284-5 284.4 284.1 284.0 283.8 283.6 283.5 283.2 283 282.8 282.7 282.5 282.3 282.1 282.0 281.8 281.5 281.4 281.2 281. 1 280.8 280.7 280.4 280.3 280.2 2799 279.7 279.6 279.4 279.2 279.1 278.8 278.7 278.5 278.3 278.1 278.0 tang. diCl" 1 1. 1387167 138 4278 1 38 1391 i37 85o5 i37 5622 1 37 2741 11.1369861 1366983 i364io7 1 36 1234 135 8362 1355492 ii.i35 2624 1349757 i3468o3 1 34 4o3 i34 1170 i33 83n 11.133 5455 i33 2600 1329747 1326896 1 32 4o47 l32 I I ,§ co-sin. ii.i3i8354 i3i 55io i3i 2669 1309829 1 306991 i3o4i55 ii.i3o i32o 1298488 1 29 5657 129 2829 1390002 1287177 11.138 4354 128 i533 127 8713 1 27 5895 1273080 1270266 11.126 7454 126 4643 1261835 1259028 1256224 1253421 11.1250619 1247820 1 24 5o23 124 2227 1239433 I23 664I 123 3850 123 1062 122 8275 122 5490 122 2707 121 9926 II. 121 7146 diCl" II. 8.862 4327 862 723 1 863 01 34 863 3o35 863 5933 863 883o 8.864 1725 8644618 8647510 865 0399 865 3286 8656172 8.865 9055 8661937 8664817 8667695 867 o57 r 867 3445 8.8676317 8679187 868 2056 868 49^3 868 7787 869 o65o 8.869 35 1 1 869 6370 869 9228 870 2o83 870 4937 870 7789 8.871 o638 871 3486 871 6333 871 9177 872 2019 872 4860 8.872 7699 873 o536 873 3371 873 6205 873 9o36 874 1866 8.874 4694 874 7520 875 o344 8753166 875 5987 875 8806 8.876 1623 876 4438 8767251 8770063 877 2873 8775681 8.877 8487 878 1291 878 4094 878 6895 878 9694 879 2491 8.879 5286 co-tang. 290.4 290.3 290.1 289.8 289.7 289.5 289.3 289.2 288.9 288.7 288.6 288.3 288.2 288.0 287.8 287.6 287.4 287.2 287.0 286.9 286.7 286.4 286.3 286.1 285.9 285.8 285.5 285.4 285-2 284-q 284-8 284.7 284-4 284-2 284.1 383-9 283.7 283.5 383-4 283 sec. d.l" sec. 283.0I 282.8 382.6 282.4 282.2 282.1 281.9 281.7 281.5 281.3 281 281.0 280.8 280.6 280.4 280.3 280.1 279.9 279-7 279.5 11.137 5673 1 37 2769 1369866 1366965 1864067 i36 1170 II. 1358275 135 5382 i35 2490 1349601 1346714 1343828 11.1340945 i33 8o63 i33 5i83 1 33 23o5 182 9429 i32 6555 ii.i32 3683 1 32 08 1 3 i3i 7944 i3i 5o77 l3l 22l3 1809350 1 1 . 1 3o 6489 1 .3o 863o 1 300773 129 7917 1 29 5o63 129 23r T 11.1289862 i28 65i4 1288667 1280828 1277981 1 27 5 1 40 11.127 2801 1 26 9464 1 26 6629 1 26 8795 1 26 0964 1 1258184 11.125 58o6 125 2480 1 24 9656 1246884 1244018 1 24 1 1 94 11.1288877 138 5562 128 2749 122 998"' 123 7137 122 4819 eo-tang. 10.0011494 1523 i54o 1 555 1571 10.0011 586 1602 1617 1682 1648 1668 10.001 1679 1694 1710 1725 1741 1756 10.0011772 1787 i8o3 1818 i834 i84q 10.001 1665 1881 1896 1912 1927 1943 10.0011959 1974 1990 2000 2021 2087 10.001 2o58 2069 208^ 2100 2116 2l3l IO.OOI2l4'T 2i63 2170 2195 2210 2226 10.0012242 2258 3374 2290 23o5 2821 10.0012837 121 8709! 2853 121 5906 23'9 co-«in. 1.5 1.6 1.5 1.5 1.6 1.5 1.6 1.5 1.5 1.6 1.5 1.6 1.5 1.6 1.5 1.6 1.5 1.6 1.5 1.6 1.5 1.6 1.5 1.6 1.6 1.5 1.6 1.5 1.6 1.6 1.5 1.6 1.6 1.5 1.6 6 .6 9.9988506 849» 8475 846o 8445 8429 9.9988414 8898 11.122 i5i3 dif.l" 121 3io5 121 o3o6 1207509 II. 120 4714 tang. 2385 2401 2417 10.0012433 co-scc. 1 I 1.5 1.6 1.6 1.5 1.6 1.6 1.6 1.6 1.5 1.6 1.6 1.6 1.6 1.6 1.5 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.6 d.i" 83b8 836t 8852 8337 9.998882 8806 8290 8375 8359 8344 9.9988338 8218 8197 8189 8166 8i5r 9.9988135 81 19 8io4 8088 80-78 8o57 9.998804 1 8026 8010 7994 79TQ 79^3 9.9987947 7981 50' 5o 40 3o 20 10 49' 5o 40 3o 7916 7900 788.^ 78688.5^g"9 8.891 4209 891 6904 891 9597 892 2288 "'T' »9^%ll268 8 892 7665i^^-^ 2j' 8.893 o35i l^^s - 893 3o36,!^'^ 893 57i8!X^ «9]84ooi^- 894 1079,^6, 8 894 3757 "g'i 8.8946433'^^'-° 273.4 273.2 273.1 272.8 272.7 272.5 272.4 272.1 272.0 271.9 271.6 271.5 271.3 271.2 270-9 270-8 270-7 2704 270.3 270*2 269.6 269.5 269.3 269.1 oo-fia Ml" flO-MC. tang. II II 11 II II II. II. It II. II II 21 7146 21 436q 21 1593 208819 206046 203276 20 o5o7 9 7740 94974 02211 89449 86689 83931 8 1175 78420 75667 72916 70166 67419 64673 6 1928 59186 5 6445 5 3706 8.879 5286 8798080 8800872 880 3662 88o645o 880 9237 8.881 2022 881 48o5 881 7586 882 o366 88a 3i44 88a 5920 8.882 8694 883 1467 883 4a37 883 7006 883 9774 884 2539 8.884 53o3 884 8o65 885 o8a5 885 3584 885 6341 8859096 509698.88618 4 8234 4 55oo 4 2768 4oo37 3 73c»9 34582 3 i857 2 91 33 26412 2 3692 2 0973 I 8257 I 5542 I a829 I 0117 07408 04700 o 1993 099789 096586 09 3884 09 ii85 088487 08 5791 08 3096 o8o4o3 07 77 1 a 07 5o23 OT 2335 069649 066964 064282 06 1600 058921 o5 6a43 ©5 3567 886 460I 8867351 8870100 887 2846 887 5591 8.887 8334 888 1075 888 381 5 888 6553 888 9289 889 2024 8.8894757 889 7488 8900218 890 2945 890 5671 8908396 8.891 1119 891 384o 891 6559 891 9a77 892 1993 892 4707 8.892 7420 893 01 3 1 893 2840 893 5548 893 8254 894 0958 8.894 366o 8946361 8949061 895 1758 8954454 8957149 8.895 9842 co-tang. dif. I CO-tllDg. 279-4 279.2 270.0 278.8 278.7 278.5 278.3 278.1 278.0 277,8 277.6 277.4 277.3 277.0 276.0 276.8 376.5 276.4 276.2 276.0 375.9 275.7 275.5 275.4 275,1 275.0 274.9 274.6 274.5 274.3 274.1 274.0 273.8 273.6 273.5 273.3 273.1 273.0 272.7 273.6 272.5 272.3 272.1 271.9 271.8 271.6 271.4 271.3 271. 1 270.0 270.8 270,6 270.4 270.2 270.1 270.0 269.7 269.6 269.5 269.3 diCl" II II II II II II II II. II. II II 20471 ao 1930 99128 96338 93550 00763 87978 8 5195 82414 79634 7 6856 74080 7 i3o6 68533 6 5763 62994 60226 57461 54607 519I5 49175 464i6 4 3659 4«9o4 3 8i5o 3 5399 3 2649 2 9900 2 7154 2 4409 1666 8925 6i85 3447 I 0711 07976 o5343 025l2 099782 09 7055 094329 OQ i6o4 088881 086160 08 3441 080723 078007 07 5303 07 258o 069869 067160 064452 061746 o5 9042 o5 634o o5 3639 050939 o4 8242 04 5546 o4 285 1 o4oi58 tang. see. 10.001 3433 2449 2465 2481 2497 25i3 10.0012529 2545 256i 2677 2593 26t)9 10.0012625 2641 2657 2673 2689 2705 10.0012722 2738 2754 2770 3786 2802 10.0012819 2835 285 1 2867 2884 2900 10.0012916 2932 2949 2965 2981 2997 10.001 3oi4 3o3o 3o46 3o63 3079 3096 10.001 3l 13 3128 3i45 3i6i 3178 3194 10.001 32 10 3227 3243 3260 3276 3293 10.001 3369 3326 3342 3359 3375 3392 10.0013409 co-sec. d.!' .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 .6 •7 .6 .6 .6 .6 .6 ■7 .6 .6 .6 •7 .6 .6 .6 •7 .6 •6 6 •7 6 •6 •7 •6 •7 .6 .6 •7 .6 •7 .6 .6 •7 .6 •7 .6 •7 .6 •7 .6 •7 .6 •7 •7 d.r co-nn. 9.9987567 755 7535 75io 75o3 7487 9.9987471 7455 743o 7423 7407 7391 9.9987375 7359 7343 7327 73ii 7295 9.9987278 7262 7246 723o 7214 7198 9.9987181 7165 7149 71 3.3 71 16 7100 9.9967084 7068 7o5i 7o35 7019 70o3 9.9986986 6970 6954 6937 6921 6904 9.9986888 687^ 6855 6839 6829 68^)6 9.9986791 6773 6757 6740 6724 6707 9.9986691 667-^ 6658 664 T 6625 6608 9.99865^1 40' 5o 4o 3o 20 10 130' 5o 4o 3o 20 10 38' 5o 4o 3^7 ,64.8 « r99 f/t V64.7 «99 432^64.5 899696-7^^^3 «99 96^0 ^64:2 3o 4(> 5o {•it to 20 Jo 4o 5o Kt' m 20 3o 4« 5o ;J4' 10 20 3o 4o 5o 35' 10 20 3o 4o| 5o 36' 8 10 20 3c) 40 5o 37' 10 20 3o 40 So •J8' 10 20 3o 40 5o 3>)' 10 20 3o 4o 5o 40' a64.o 900 i252 9^ ^?f 263.9 900 7531 ^63.^ 8.901 0168 363i 9°^ ?S.?3 ^63.4 901 5437 II II II 9«^ ?9^9 263.0 90^ 2599 263.9 „ 902 3328 ^g^ 9 ^^' «?« 262.6 90^ 858i ^g^^ 9o3i2o5 g 3 903 3828 '^11 903 6448 262 o 9039*^8 g- •9-416855^;:^ 9044302 ^g,j 904 6916 ,g, 3 9^49529,61.1 9°rff 261.0 . 905 475o ^6,,.8 8-905 7358 ^60.7 905 -^9^5 ^6^ ^ 9^ 2570 2604 906 5174,60.2 906 7776 ,60.0 9070376^5 8.907 2975 .cT 1 t 907 5573 9078168 908 0762 908 33541,,'^ 908 5Q45rr9i 8-9o8 8535| 9-0 909'i23| 58g 9^9 3709',58 5 9096294 ^^°-5 909 8877 910 1459 8.9104039 II dif. I" 263.2 259.7 259.6 259.4 259.2 co-sec 11 II. II 8. II II o5 3567 8. o5 0893 o4 8220 o4 5549 o4 2879 o4o2ii o3 7545 8. o3 4880 o3 2217 02 9556 02 6896 02 4238 02 1 58? 01 8927 01 6274 01 3623 01 0973 oo83o5 00 5678 00 3o33 000390 099 7748 0996108 099 2469 .098 9832 098 7197 098 4563 8 8 eo-sm. 258.3 358 2 258.0 did" II 098 1031 097 9301 0976672 .097 4o45 097 1419 096 8795 0966172 096 3552 096 0932 .095 83 1 5 095 5698 095 3o84 0950471 094 7860 094 525o .094 2642 8 094 oo35 093 743o 093 4826 093 2224 092 9624 •093 7035 8 092 4428 092 i832 091 9238 091 6646 091 4o55 .091 1 465 8 0908877 0906291 090 3706 090 1 1 23 0898541 .089 5961 sec. tang. 8 8 8 895 9842 896 2533 896 5222 896 7910 897 0696 897 3280 897 5963 897 8644 898 i324 8984002 898 6678 89S 9353 899 2026 899 4698 899 7367 9oooo36 900 2702 900 5367 .900 8o3o 901 0692 901 3352 901 6011 901 8668 902 i323 .902 3977 902 6629 902 9279 903 1928 903 4576 9037221 .903 9866 904 25o8 904 5 149 9047788 905 0426 905 3o63 .905 5697 905 833o 9060962 906 3592 9066220 9068847 .907 1472 907 4096 9076718 907 9338 908 1957 9084575 -9087190 9089805 9092417 909 5o29 909 7638 9100246 .910 2863 910 5458 9108061 911 o663 91 1 3264 91 1 5863 .91 1 8460 difll" co-tans. 268.9 268.8 268.6 268.4 268.3 268.1 268.0 267.8 267.6 267.5 267.3 367.2 266.9 266.9 266.6 266.5 266.3 266.2 266.0 265.9 265.7 265.5 265.4 265.2 265.0 364.9 264.8 264.5 264.5 264.2 264 263.9 263.8 263.7 263 4 363.3 263.2 263 .0 262.8 262.7 263.5 262.4 262.3 262.0 261. 261. 261.5 261.5 261.3 361 260.9 260.8 260.7 260.5 260.3 260.2 260.1 259.9 259.7 dif.l" eo-tang. II. ■ee. II II II 11 II II II II II II io4oi58 io3 7467 io3 4778 io3 2090 1 02 9404 102 6720 1024037 102 i356 lOI 8676 101 5998 101 3322 101 0647 ,1007974 100 53o2 100 2633 0999964 0997298 099 4633 .099 1970 098 9308 098 6648 098 3989 098 1 332 0978677 .097 6023 097 3371 097 072 1 096 8072 096 5424 096 2779 .0960134 09574 09548 095 2212 0949574 0946937 .094 43o3 094 1670 093 9038 093 64o8 093 3780 093 1 1 53 092 8628 092 5904 092 3282 092 0662 091 8043 091 5425 .091 2810 091 0195 0907583 0904971 090 2362 089 9754 .089 7147 089 4542 089 1939 088 9337 088 6736 o88 4i37 .088 1 540 taug. d.1" 10.0013409 3425 3442 3458 3475 3492 io.ooi35o8 3525 3541 3558 3575 359 io.ooi36o8 3625 3642 3658 3675 3692 10.0013708 3725 3742 3759 3776 3792 1 0.00 1 3809 3826 3843 386o 3877 3893 10.0013910 3927 3944 3961 3978 3995 io.ooi4oi2 4029 4o46 4o63 4080 4097 io.ooi4ii4 4i3i 4i48 4i65 4182 4199 10.0014216 4233 425o 4267 4284 43oi io.ooi43i8 4335 4353 4370 4387 44o4 10.0014421 co-sec. co-«in. 1.6 1-7 1.6 »-7 1.7 1.6 1-7 1.6 1-7 1-7 1.6 1-7 1.7 1-7 1.6 1.7 1-7 1.6 1.7 1-7 1.7 1-7 1.6 1-7 1-7 1.7 i-7 1.7 1.6 1-7 1-7 1.7 1-7 1-7 1-7 1-7 1-7 »-7 1.7 1.7 1-7 1-7 1-7 1-7 1.7 1-7 1-7 1-7 1.7 1-7 1-7 1-7 1-7 1-7 1-7 1.8 1-7 1-7 1-7 1-7 9.9986591 30' 6575 5o 6558 40 6542 3o 6525 20 65o8 10 9.998649229' 64-5 5o 6459 4o 6442 3o 6425 20 6409 10 9 9986399 2ft' 6375 5o 6358 40 3o 6342 6325 63o8 9.9986292 6375 625f 6241 6224 6208 9.998619 6174 6157 6140 6123 6107 9.9986090 6073 20 10 27' 5o 4o 3o 20 10 26' 5o 4o 3o 30 10 25' 5o 40 3o 20 10 6o56 6039 6033 6oo5 9.9985988124 5971 5954 5937 5930 5903 9.9985886 5869 5853 5835 58i8 58oi 9.9985784 5767 5750 5733 5716 5699 9.9985682 5665 5647 563o 56i3 5596 d.1' 5o 4o 3o 20 10 23' 5o 4o 3o 20 10 22' 5o 4o 3o 20 10 21' 5o 4o 3o 30 10 9.9985579 20' sin. 94« 850 24 166 LOGARITHMIC SINES, TANOBNTS, &C. €• 175« •m. dif.1" m 10 ao 3o 4o 5o 41' 10 3o 4o 42' 10 ao 3o 4o 5o 43^ lO ao 3o 4o 5o 10 30 3o 4o 5o 143 10 ao 4o 5o 8.910 4o39 9106617 9109194 911 1770 91 1 4344 911 6916 8.91 1 9487 91 a ao57 91 a 46a4 9137191 9139756 9i3a3i9 6.9134881 91 3 7441 913 91425 914511a 9147667 8.9150319 9153770 9155320 9157868 916041 5 916 a 8.9165 9168046 9170586 9173125 917 5663 9178199 8.9180734 9183267 918 5799 918 83a9 m eo-aec. 91908 9193385 46^18.9195911 9198435 920 0958 920 3479 9205999 10 30 3o 40 147' 10 30 3o 4o 5o 148' iO 30 3o 4o 5o 10 30 3o 4o 5o 50' 9208 8.921 io34 921 355o 931 6064 92 1 8576 922 1087 923 3597 8.9336105 922 861 1 9331117 923 3620 9236123 923 8624 8.924 1123 924 3621 9246117 9248613 925 1106 925 3598 8.925 6089 357.8 357.7 257.6 357.4 a57,a 257.1 257.0 a 56-7 256.7 256,5 256.3 a56.a a56.o 255.8 255.8 a55.5 a55-5 255.3 255.1 255.0 254-8 354-7 254-5 354-4 254-2 354.0 353-9 353.8 353.6 253.5 a53.3 a53.2 253.0 352.9 353.7 a52.6 252.4 252.3 a5a.i aSa.o 25i-8 a5i.7 251-6 251.4 251.2 25l-I 25 1. o 250.8 25o.6 a5o.6 250.3 25o.3 25o-i 249-9 249-8 249-6 249-6 249-3 249.2 II II tUlf. II II 8 II 8 u II II c»-«in. II II 2491 di£ I'- ll ,089 5q6i 8 0893 0890806 0888230 088 5656 o88 3o84 .o88o5i3 8 0877943 0875*76 087 3809 0870344 0867681 .08651198 0862559 0860001 0857443 085 4888 o85 23331 .0849781 084 7230 0844680 0842132 08 3 9585 08 3 7040 .o83 4496 o83 1954 0839414 0836875 0834337 083 1801 .081 93668 081 6733 081 4201 081 1671 080914a 080 661 5 .080408918 080 i565 0799042 0796521 079 4ooi 079 1483 .07889668 078 645o 078 3936 078 1424 077 891 3 077 64o3 .077 3895 077 1389 0768883 076 638o 0763877 0761376 .075 8877 075 6379 075 3883 075 i387 0748894 074 64o2 .074 391 1 dif.1" 8 wc. .91 1 8460 913 io56 912 365o 9126243 9128834 913 1424 .913401a 9136598 913 9183 914 1767 9144349 9146930 .9149509 915 2086 9154662 9157237 9159810 9162381 .9164952 9167520 9170087 917 2653 917 5217 017 7779 .918 o34o 918 2900 918 5458 9188014 9190570 9193123 .919 5675 9198226 920 0775 920 3323 920 5869 920 84 1 4 .921 0957 931 3499 931 60J9 931 8578 933 1116 933 3652 .9336186 933 8719 933 ia5i 933 3781 923 63 10 923 8837 .924 i363 924 3887 9246410 924 8932 925 1452 925 3970 .925 6487 925 9003 926 i5i7 9264o3o 9266542 926 9052 ,927 i56o eo-tauf. 8 8 359.6 259.4 259.3 259.1 259.o( 258.8 258.6 258.5 258.4 258.2 258.1 257.9 257.7 257.6 257.5 257.3 257.1 257.1 256.8 256-7 256.6 256.4 256.3 256.1 256.0 255.8 255.6 255.6 255.3 255.2 255.1 254.9 254-8 254.6 254.5 254.3 254.2 254.0 253.9 253.8 253.6 353.4 253.3 253.2 253.0 252.9 253.7 252.6 252.4 252.3 252.2 253.0 351.8 25i.7 25 1. 6 25i.4 25i.3 aSi.a 25i .0 a5o.8 II II ii x)88i54o 0878944 0876350 0873757 087 1166 0868576 .0865988 086 340a 0860817 o85 8233 ©85 565 o85 3070 .0850491 0847914 084 5338 MC. 5o 58' 10 20 3o 4o 5o 15 »' 10 20 3o 4o 5o 6J' 8.925 6089 925 8578 926 1066 926 3553 926 6o38 9268521 8.927 ioo3 927 3484 927 5963 927 844 1 9280918 928 3393 8.928 5866 928 8338 929 0809 9293279 929 5746 9298213 8.930 0678 93© 3 1 42 93© 56o4 930 8o65 93i o524 931 2983 8.931 5439 931 7895 93a o348 932 2801 93a 5252 932 7702 8.9330150 933 2597 933 5042 933 7487 933 9929 934 2371 8.9344811 934 7249 9349687 935 2122 935 4557 9356990 8.935 9422 936 1 852 936 4281 936 6709 9369135 937 i56o 8.937 3983 937 6406 937 8826 938 1246 938 3664 93s 6081 8- 938 8496 9390010 939 3j23 939 5734 9398144 940 o553 8.940 2960 oo-aec co-ain. 248.9 248.8 248.7 248.5 248.3 248.2 248 247-9 247-8 247-7 247-5 247.3 247 247-1 247 -o 245.7 246.7 246.5 246.4 246.2 246.1 245.9 245.^ 245.6 245.6 245.3 245.3 245.1 24D.O 244.8 244.7 244.5 244.5 244.2 244.2 244.0 243.8 a43.8 243.5 243.5 243.3 243.2 243.0 242. 242. 242.6 242.5 242.3 242.3 242.0 242.0 241.8 241.7 241.5 241.4 241.3 241 241.0 240.9 240.7 II 8 11 [I tang. II II dicr II II II II II II .074 391 1 074 1422 073 8934 073 6447 073 3962 073 1479 .072 8997 0726516 072 4o37 072 1559 071 9082 071 6607 .07c 4 1 34 071 1662 070 9191 070 672 1 070 4254 070 1787 .0699322 069 6858 069 4396 069 1935 068 9476 068 7017 .0664561 068 2io5 067 9652 067 7199 067 4748 067 2298 x>66 985o 0667403 0664958 066 25i3 0660071 o65 7629 .o65 5189 o65 2751 o65 o3i3 064 7878 0645443 064 3oio .064 0578 o63 8148 o63 5719 o63 3291 o63 o865 062 8440 .0626017 062 3594 062 1 1 74 061 8754 061 6336 061 3919 .061 i5o4 0609090 0606677 0604266 060 i856 059 9447 .059 7040 8 8. did" 8 8 8 8 8 8 ■ec 8 .927 i56o 927 4067 927 6573 9279077 928 i58o 928 4o8i .9286581 928 9080 9291577 929 4073 929 6567 9299060 930 1 552 930 4042 930 65 3o 9309018 931 i5o4 931 3988 .931 6471 931 8953 93a 1433 932 3912 932 6390 932 8866 .933 i34o 9333814 933 6286 933 8756 934 1226 934 3693 .934 6160 934 8625 935 1088 935 355i 9356012 935 8471 .936 0929 936 3386 936 5842 9368296 937 0748 937 3200 .937 565o 937 8098 938 0545 938 2991 938 5436 938 7879 ,9390321 939 2761 939 5200 939 7638 9400075 940 25 10 .940 4944 940 7376 940 9807 941 2237 941 4665 941 7092 .941 9518 co-Cang. 8 co-tang. 250.7 25o.6 25o.4 25o.3 25o 25o.o 249-9 249-7 249.6 249.4 249.3 249.2 249.0 248.8 248.8 248.6 248.4 248.3 248.2 248.0 247.9 247.8 247.6 247-4 247-4 2473 247.0 247-0 246.7 246.7 246.5 2.46.3 246.3 246.1 245.9 245.8 245.7 245.6 245.4 245.2 245.2 245.0 244-8 244-7 244-6 244.5 244-3 244-2 244-0 2.43.9 243.8 243.7 243.5 243.4 243.2 243.1 243.0 243.8 342.7 242.6 ■ec d.1" ditl" 1 1 -0728440 072 5933 072 3427 0720933 071 84ao 071 5919 iijO'ji 3419 071 0920 070 8423 070 5927 070 3433 0700940 11.0698448 0695958 0693470 0690982 0686496 0686012 11.0683529 068 1047 0678567 067 6088 067 36io 067 1 1 34 1 1 .066 8660 0666186 0663714 066 1244 o65 8774 o65 63o7 1 1 .o65 384o o65 1375 0648912 0646449 0643988 064 1529 1 1. 0639071 o63 66i4 o63 4i58 o63 1704 062 9252 0626800 11.062 435o 062 1902 061 9455 061 7009 061 4564 061 2121 11.0609679 0607239 0604800 060 2362 0599925 059 74 11.059 5of 059 2624 0590193 o58 7763 o58 5335 o58 2908 1 1 .o58 0482 10.001 5471 5489 5507 5524 5542 556o ioxx)i5578 5596 56i4 5632 565o 5667 ioxx>i5685 5703 5721 5739 5757 5775 58ii 5829 5847 5865 5883 10.0015901 5919 5937 5955 5974 5992 10.0016010 6028 6o46 6o64 6082 6100 10.0016119 6i37 61 55 6173 6191 6210 10.0016228 6246 6264 6283 63oi 63i9 10.0016337 6356 6374 6392 641 1 6429 10.0016447 6466 6484 65o3 6521 6539 io.ooi6558 tang. eo-«n. 1.6 1.8 1-7 1.8 1.8 1.8 1.8 1.8 1.8 1.8 1-7 1.8 1.8 1.8 1.6 1.6 1.8 1.8 1.8 1.6 1.8 1.8 1.8 1.8 1.8 1.8 1.8 \i 1.8 1.8 1.8 1.8 1,8 1.8 £.0 1.8 1.8 1.8 1.8 1.9 1.8 1.8 1.8 1.9 1.8 1.8 1.8 \l 1.8 I I 1.8 1.9 1.8 1.9 1.8 1.8 1.9 eo-aec 9.9984529 45ii 4493 4476 4458 4440 9.9984422 44o4 4386 4368 435o 4333 9-9984315 4297 4279 4261 4243 4225 9.9984207 4189 4171 4i53 4i35 4117 9.9984099 4<>8i 4o63 4045 4026 4008 9.9983990 3972 3954 3936 3918 3900 9.9983881 3863 3845 3827 3809 3790 9.9983772 3754 3736 3717 3699 368 9.9983663 3644 3626 36o8 3589 3571 9.9983553 3534 d.1" 35i6 3497 3479 3461 9.9983442 10' 5o 40 3o 20 10 9' 5o 40 3o 20 10 8' 5o 40 3o 20 10 7' 5o 40 3o 20 10 6' 5o 4o 3o 20 10 5' 5o 4o 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 40 3o 20 10 1' 5o 4o 3o 20 10 0' Bin. »4« 850 LOGARITHMIC SINES, TANGENTS, &C. SO 174' lO so 4o 5o 1' to 90 3o 5o 2' I€ 30 3o 4o 5o 3' JO m 3o 4o 5o 4' to ao ^3o 4o 5o iV 10 30 4o 5o 6' to 20 3o 4o 5o 7' lO 30 3o 4o So W 10 30 3o 4o 5c 9> to 30 3o 4o 8.9403 940 s 940 7771 ilif.l" co-toc. 240.6 a4o.5 340.3 9^* ''I'^iWAo. 941 sS'TOf 941 4976 8.941 7S76 941 9774 943 3170 943 4565 942 6959 943 9i53 6.943 1743 9434133 943 6533 9438909 944 139^ 944 36Bo 8.944 6o63 944 8445 945 0836 945 S-JoS 945 5383 945 796<'> 8.9460335 9463709 9465082 946 7454 9469834 947 3193 8.947 456i 947 6937 947 9592 948 1 656 9484018 948 6379 8948 8739 949 ir}o8 949 3435 949 58i t 949 8i65 ttiif. 340.0 3400 339.8 3396 339.5 339.4 339.3 339.1 339.0 338-9 338.7 238.6 238-3 338-2 238.1 337.9 237.8 337.7 337.5 337.4 337.3 337.3 237.0 336-9 336-8 336.6 336.5 336.4 236.3 236.1 236o 335-9 335-7 335-6 335-4 235.4 335-1 a 34 -9 a 34-9 334-7 334-5 334-5 334-2 3340 3340 333.8 2336 333.6 333.4 333.3 333.3 3 33.0 333.0 8-950 287 950 5323 9507571 950 9920 9^1 2267 951 46f3 8.951 6957 95 f 9300 953 1643 952 3982 953 6333 953 8660 8.953 Oqtj^ 953 3333 953 5666 953 7099 954 o33i 954 2661 ll)'|8.954499i eo-iio< 1 1 .059 7040 8 o59 4634 059 2339 o58 9836 o58 7424 o58 5o24 1 1 .o58 3634 8 o58 0336 o57 7830 o57 5435 o57 3o4i o57 0648 II.056 8357 o5() 586i 0563478 o56 1 091 o55 8705 o55 6320 1 1 .o55 3937 8 o55 1 555 o54 9174 o54 6795 0544417 o54 2040 1 1 .o53 9665 8 o53 7391 0534918 o53 2546 o53 0176 o53 7807 1 1 .o53 5439 8 o52 3073 o52 0708 o5i 8344 o5i 5983 o5i 3631 ii.o5i 1261 8 o5o 8902 o5o 6545 o5o4i89 o3o [835 0499481 11-0497120 049 4770 049 3439 0490080 o48 7-33 048 5388 1 1 .048 3o43 8 048 0700 047 8358 o47 6018 047 3678 o47 1 340 1 1 .046 9004 8 o46 6668 o46 4334 0463001 0459669 045 7339 11.04550098 .941 9518 942 1943 dil> 1 3^4 3.^ 343.3 «o-t«n?. ■ec. did" 943 4365 943 6787 943 9307 943 1636 .943 4o44 9436461 943 8876 944 1 389 944 3703 9446113 .944 8533 9450931 945 3338 945 5744 945 8 1 49 946 o553 .946 3954 946 5355 946 7754 947 01 53 947 2549 947 4q44 .947 7338 9479731 948 2133 948 45 1 3 9486903 948 9389 .949 1676 9494061 9496444 9498837 950 13o8 950 3588 .950 5967 950 8344 951 0730 951 3095 951 5468 9j»784o.^ •9^"?iN^37-o 952 a58i' 343.3 343.0 341.9 341.8 341.7 341.5 341.3 341.3 341-1 34 1 -o 340-8 340.7 340-6 34o-5 340.3 340-3 340.1 339-9 339-8 339-7 339.5 739.4 239-3 239-1 239-1 338-9 338-7 338-7 338.5 338.3 338.3 338.1 238 .0 237.9 237.7 337.6 337.3 337-1 ■ec. 953 4949 9537317 953 9683 953 3047 .9534410 9536773 9539133 954 1 493 954 385 1 95-^6508 .954 8564 9550918 955 3372 955 5634 955 7974 956 0334 .956 3673 co-tang. a 36-8 a 368 a36-5 236-5 336-3 a36-3 a36.o a36.o 235-8 335.7 335.6 235.4 235.4 a35.2 335.0 235.0 334.8 dif.r iix>58o483 o57 8o58 o57 5635 05732 1 3 o57 0793 056 8374 1 1 .o56 5056 o56 3539 o56 1 1 34 0558711 o55 6398 o55 3887 ii.o55 1 477 0549069 0546663 o54 4256 o54 i85i o53 9448 11.0537046 o53 4645 o53 3246 o53 9848 o52 745 1 o52 5o56 1 1 .o52 2662 o52 0269 o5i 7878 o5i 5487 o5i 3098 o5i 07 1 1 ii.o5o8324 o5o 5939 o5o 3556 o5o 1173 049 8793 0496413 1 1 0494033 049 1 656 048 9380 048 6905 048 4533 048 2160 11.0479789 0477419 o47 5o5i o47 2683 04703 1 8 046 7953 I r .046 5590 046 3297 046 0867 045 B5o^ 0456149 045 379'> 11.045 i436 0449083 044 6728 044 4376 o44 3oa6 043 9676 1 1 .043 7338 tang. 10.001 6558 6576 d.l' 6595 661 3 6633 66 5o 10.0016668 6687 6705 6734 6743 6761 10.0016780 6798 6817 6835 6854 6873 10.0016891 6910 6938 6947 6965 6984 10.0017003 70a 1 7040 7059 7078 7096 10.00171 15 7i34 7i53 7171 7190 7209 10.0017338 7346 7365 7284 73o3 7333 10.0017340 7359 7378 7397 7416 7435 10.0017454 7473 7492 75ii 753o 7548 10.0017567 7586 7605 7624 7643 7662 10.0017682 co-em. 1.8 ::? 1.8 1.9 1.8 ::? 1.9 I I 1 \l 1.9 ;i 1.8 1.9 1-9 1.8 1.9 1.9 li »-9 1- 1.9 1.9 1.9 \1 1.9 1.9 1.9 1.8 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.8 1.9 1.9 1.9 1.9 1.9 1.9 2.0 CO-BAC 9.9983443 34a4 34o5 3387 336b 335o 9.998333a 33i3 3295 3276 3a 58 3239 9.9983330 32oa 3i83 3i65 3i46 3 128 9.9983109 3090 3072 3o53 3o35 3oi6 9.9982997 39''9 2960 3941 2923 3904 9.9982885 2866 2848 2829 2810 279 9.9983772 3754 3735 2716 3697 3678 9.9982660 3641 262 a 36o3 3584 3565 9.9983546 35a7 25()8 3489 34"'0 345^. 9.9983433 34i4 3395 3376 335 3338 9.9983318 d.l'' 5o 40 3t ao 10 5( 4" 3() at) 10 58 5o 4o 3o 30 10 57 5o 40 3( 20 10 56' 5o 40 3o 30 10 5o 4o 3o 30 10 54 ■in. 5 3 4o 3c '^O 10 53' 5o 4o 3o ■JO 10 5-2' 5o 4o 3o 20 lO 51' 5o 40 3o 30 10 5()' »*• 840 LOGARITHMIC SINES, TANGENTS, &C. 189 50 1740 sm. 10' 10 30 3o 40 5o U 10 30 3o 4o 5o 1-^ 10 30 3o 4o 5u 13' 10 30 3o 4() 5o 14' 10 20 3o 4o 5o 15' 10 31) 3o 4o 5o 16 10 30 3o 4o 5o 17' 10 20 3o 4r 5o 18' 10 20 3o 4o 5() 19' 10 20 3o 40 5o 2)' 8-954 954 954 955 955 955 8.955 956 956 956 956 957 8.957 957 957 957 958 958 8.958 958 959 959 959 959 8.960 960 960 960 960 961 8.961 961 961 962 963 963 8.96a 963 963 963 963 963 8.964 964 964 964 965 965 8.965 965 965 966 966 966 8.966 967 967 967 967 968 8.968 difl" ^|9i 232.8 c/£|233.6 9^4^333.6 332.3 4295 6618 8940 1260 3579 5897 8214 0529 3843 5i56 7468 9779 3088 4396 6703 9008 l3l2 36i5 5917 8218 o5i7 28i5 5lI2 7408 9702 1996 4288 6579 8668 1 1 57 3444 5730 8oi4 0398 258o 486i 7i4i 9420 1697 3974 6a49 85a3 0795 3067 5337 76(16 9874 2l4l 4406 6671 8934 II96 3456 5716 7974 033l 3487 co-sec. 333.3 232.0 231.9 231.8 23i.7 33i.5 231.4 23 1.3 23l,3 33l.I 230.9 33()-8 3 30.7 a3o-5 a3o.4 a3o.3 a3o.2 33o.i 229.9 239 8 229-7 339-6 229.4 229.4 229.2 229.1 228.9 338.9 328.7 238-6 228-4 228.4 228-2 328-1 328-0 227-9 227.7 227.7 227.5 227.4 227.3 237.3 337-0 336-9 326.8 336.7 336.5 336.5 336.3 236.3 336.0 3a6.o aa5.8 3a5.7 325.6 eo^iin. 1 1 .045 045 045 044 044 o44 1 1 .044 043 043 043 043 o43 1 1 .043 o4a 042 042 o4i o4i ii.o4i o4i o4o o4o o4o o4o 11.039 039 039 039 o39 o38 1 1 .o38 o38 o38 o37 ■ o37 o37 ii.o37 o36 o36 o36 o36 o36 1 1 .o35 o35 o35 o35 o34 o34 1 1 .o34 o34 o34 o33 o33 o33 1 1 .o33 o3a o33 o33 o33 o3i ii.o3i 8 5oo9|8 3681 o355 8oa 570 3382 1060 8740 6421 4io3 1786 9471 7157 4844 2532 tang. 8 dif. I' di£l' 0231 791a 56o4 3397 0993 8688 6385 4o83 1783 9483 7t85 4888 2592 0298 8oo4 5712 34a I 1 i3a 8843 6556 4270 1986 970a 7420 5 1 39 2859 o58o 83o3 6oa6 3751 1 477 9205 6933 4663 2394 0126 7859 5594 33a9 1066 8804 6544 4284 2026 ??^ 8 8 8 8 •ec. .956 2672 9565019 956 7365 956 9709 957 2o53 957 4395 .957 6735 957 9075 958 i4i3 958 3750 958 6086 9588421 .959 0754 959 3o86 9595417 959 7747 9600075 960 2402 .960 4728 9607053 960 9377 961 1699 961 4020 961 634o .961 8659 962 0976 962 3392 962 5607 962 79a r 953 oa34 .963 2545 963 4855 963 7164 963 9472 964 1778 964 4o84 .964 63.S8 964 8691 965 0993 965 3^93 965 5592 965 7891 .966018? 966 2483 966 477B 966 7071 966 9363 967 i654 967 3Q4'f 967 6a33 967 85ao 968 0807 968 309 a 968 5376 .968 7658 968 9940 969 2220 969 4499 969 6777 9699054 .970 i33o CO- tang. 8 8 8 234-7 234.6 234-4 334.4 234-2 2340 a34.o a33.8 333.7 333.6 333.5 a33.3 a33.a a33-i 333-0 333.8 a33.7 332.6 232-5 232.4 332.2 333.1 332.0 231.9 33i.7 33 1. 6 331.5 33i.4 23 1. 3 23l.I 23 I. o 230.9 a3o.8 2 3o.6 23o.6 23o.4 23o.3 23o.2 280.0 229.9 229.9 229." 339.5 229.5 229.3 339.2 229.1 229.0 338.9 338-7 338.7 328.5 338.4 338.3 338.2 228.0 227 9 227.8 237.7 227.6 II. II II see. d.I" co-sin. II II II II II II II co-tang. dif. I'- ll .043 7828 0434981 o43 2635 o43 0291 042 7947 042 56o5 .042 3265 043 0925 o4i 8587 o4i 6250 o4i 3914 o4i 1 579 .o4o 9246 0406914 o4o 4383 o4o 2253 0399925 039 7598 .039 5272 039 2947 0890623 o38 83oi o38 5980 o38 366o .o38 1 34 1 087 9024 087 6708 087 4898 087 2079 0869766 .o36 7455 086 5i45 086 2836 o36 0528 o85 8222 o85 5916 .o35 86i9 08 5 1809 o84 9007 o34 6707 o84 4408 o34 2 1 09 .088981 o83 75i7 o38 52 22 088 2929 o83 0687 o32 8846 .082 6o56 082 8767 082 1480 o3i 9198 081 6908 o3i 46a4 .081 2342 o3i 0060 o3o 7780 o3o 55oi 080 3223 o3o 0946 .039 8670 10.0017682 7701 7720 7789 7758 7777 10.0017796 7815 7834 7853 7872 789a 10.001791 1 7980 7949 7968 7987 8007 io.ooi8oa6 8045 8064 8084 8103 8122 io.ooi8i4i 8161 8180 8199 8219 8288 10.0018357 8377 8396 88i5 8385 8354 10.0018874 8898 84i3 8433 845 1 8471 10.0018490 85io 8529 8549 8568 8588 10.0018607 8627 8646 8666 8685 8705 10.0018735 8744 8764 8788 8808 8828 10.0018843 tang. 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1.9 1-9 3.0 '•9 1-9 '-9 1.9 1.9 3.0 1.9 1.9 1.9 2.0 1.9 1.9 1.9 2.0 1.9 1.9 2.0 1.9 1.9 2.0 1.9 1.9 2.0 1.9 2.0 1.9 1.9 2.0 1.9 2.0 1.9 2.0 1.9 2.0 1.9 2.0 1.9 2.0 1.9 2.0 1.9 2.0 2.0 1.9 2.0 1.9 3.0 2.0 1.9 50' 5o 40 3o 20 10 49' 5o 4o 8 4o 3o 20 10 41 5o 4o 3o 20 10 9.9981158 40' d.1" >in. 950 840 190 LOGARITHMIC SINES, TANGENTS, &C. !l ' 50 174< ■lit. W Hi) 3o 40 % 21 10 ao 3« 4o Hyfv I c::»l a. 3o 40 5c 23' 10 30 3o 4o 5n i4 ro ao 3(j 4o 5o •¥i' 10 20 3o '26 10 20 3o 4o 5o 27' 10 ■3o 4o 5o 28' 10 20 3o 4o 5o 29 10 20 3o 4o diC I" 8.968 2487 968474a 968 699(> 968 9248 969 i5oo 969 3750 8.969 5999 969 8246 225.5 225.4 225.2 225.2 225.0 224.9 224.7 224.7 o(K4ec* 97««4q3, ,J,^ 970 4983 9707226' 8.970 9468 971 1708 971 tang. 224.3 224.2 224'0 1 972 0660 3.972 2895 9725128 972 7361 972 9592 973 1823 973 4o52 8.973 6280 973 85o7 974 0732 974 2957 974 5 1 80 974 74o3 8.974 96^4 975 t844 975 4062 9756280 975 8497 9760712 8.976 2926 9765139 9767351 9769562 977 1772 9773980 8.9776188 977 8394 9780599 9782803 9785006 978 7208 S.978 9408 9701608 97^3806 979 6oci4 979 8200 980 0395 5.980 2589 980 478 1 9806973 9809164 981 i353 981 3541 8.981 5729 223. 3 223.3 223.1 2a3.i 222.1 222 222.7 222.5 222.5 222.3 222.3 22a.i 222.0 221.8 221.8 321.7 221.5 231.4 221.3 221.2 22J.I 221.0 aao.8 220.8 220.6 320.5 220.4 220.3 220.2 220.0 220.0 219.8 219.8 219.6 219.5 ii.o3i 75i3 o3i 5258 o3i 3oo4 o3i 0752 o3o 85oo o3o 6250 ii.o3o4ooi o3o 1754 029 9507 029 726^ 0295017 029 2774 11.0200532 028 8392 028 60^3 028 38 1 4 028 1576 027 9340 11.0277105 027 4872 027 2639 037 o4o8 0268177 026 5948 ditl" 8.970 i33o 97o36o4 970 5878 970 8 1 5o 971 0421 971 2691 8.971 4959 971 7'J37 971 9493 972 1758 972 4022 972 6285 8.972 8547 973 0807 973 3067 973 5325 973 7582 973 9838 8.974 2092 974 4346 974 6599 974 88 5o 975 1 100 975 3349 CO- tang. 1 1.026 3720 8.975 5597 eo-8tD. 026 1493 oa5 9268 oa5 7043 025 4820 025 95^'y 1 1. 0350376 024 8 1 56 024 5938 024 3720 024 i5o3 u33 9288 11. 02 3 7074 02 3 4861 023 2649 02 3 o438 022 8228 022 6020 11.022 38 1 3 0221606I oai 9401 021 7197 021 4994 021 2793 1 1. 02 1 0593 020 8393 0206194 020 3996 030 1800 "9-4 <"995°5 «.}vZ II.OI974II 019 5219 019 3027 0190836 018 8647 0186459 1 1. 018 4371 219.2 219.2 219.1 218.9 218.8 218.8 did' 975 7844 9760089 976 3334 976 4577 9-'6 68!9 8.976 <)c6o 977 i3oo 977 3539 977 5777 9778013 978 0348 8.978 2483 978 4716 9786948 9789179 979 i4o8 979 3637 8.979 5865 9798091 9800316 9802540 980 4763 9806985 8.980 9206 981 i4a6 981 3644 981 586a 9818078 98a 0293 8.982 2507 982 4730 9826933 982 9143 983 i353 983 356i 8.983 5769 MC 227.4 227.4 227.2 227.1 227.0 226.8 236.8 226.6 226.5 226.4 226.3 226.2 226.0 226.0 225.8 225.7 225-6 235'4 225-4 225-3 225l 225-0 234-9 224.8 224-7 224-5 324-5 224.3 224-3 224- 1 224-0 223.9 223.8 223.6 223.5 223.5 2a3.3 233.3 223.1 222.9 222. 222.6 222.5 222.4 222.3 222.2 222.1 222.0 221.8 221.8 221.6 221.5 22 1 .4 221.3 221.2 221.1 221.0 aao.8 aao.8 ■ee. d.!" CO- tang. 11.0398670 0296396 0294132 029 l85o 028 9579 028 7309 ii.o28 5o4i 028 2773 028 o5o7 027 824a 027 5978 0273715 11.027 1453 026 91 026 69 026 4675 026 2418 0260162 11.0257908 02 5 5654 025 3401 025 ii5o 0248900 024 665 1 1 .024 44o3 024 2 1 56 023991 0337666 oa3 5433 023 3i8i 1 1 .023 0940 022 8700 0226461 023 4323 023 1987 031 975 11.021 75i7 021 5384 02 1 3o52 021 0821 020 850 020 6363 ii.o2o4i35 020 1909 0199684 0197460 0195237 0193015 11.0190794 018 8574 018 6356 oi8 4i38 018 1922 017 9707 11. 01 7 7493 . 017 5280 0173068 017 o857 10.0018843 8863 8883 8901 8931 8941 10.0018960 8980 9000 9020 9039 9059 10.0019079 9099 91 38 91 58 9178 10.001919Q 9218 9238 9257 9277 9297 10.0019317 9337 9357 9377 9397 9417 10.0019437 9457 9477 9497 9517 9537 10.0019557 9577 9597 9617 9637 9657 10.0019677 9697 9717 9737 9757 9778 10.0019798 9818 ©838 9858 9878 9899 10.0019919 9939 9959 10.0019979 e 10 20 3o 40 5o 4^' 10 20 3o 4o 5a 50 9>5 995 995 996 0.997 9?7 997 997 997 ^998 8.908 998 998 99° 999 999 8.999 999 8.999 9.000 000 000 9.000 001 001 001 001 001 9.002 002 002 00a 00a oo3 9003 oo3 00 3 oo3 oo4 oo4 9.004 oo4 oo4 oo5 oo5 oo5 9.005 006 006 006 006 006 9.007 311 5 9796.11:4 1910 ^ Z,i 21 1.3 61 35 8246 o356 2465 45-3 653^2" 0.7 21 1.2 21 I.I 2 ! 1 .0 210. 210. 1 1 .oo5 5o32 oo5 aoi I 0050790 0048671 oo4 6553 004 4435 11.004 3319" 004 o2o4 0038090 oo3 5977 oo3 3ii65 oo3 1754 I r .002 9644 002 7535 002 5427 dif.!" 8.9966243 9968385 997o527j^ 997 266713 997 4^06 997 M4 2 8.9979081 99S 1218 998 3353 998 5487 1 99S 7620, 99^ 9752 { 8.999 l^% 9994oi3 999614a 210.6 210.5 8786 °^9»u„o.3 ?99^!3io.3 5097 7199 ''99!^:?-^ 3498. ""9-9 5595 '-"9-7 002 3320 8.999 827or 002 !2l4 ooi 9109 210.2 2 1 O.I ii.ooi756 ^•9 8782 664? 45i3 238o 0248 8117 5987 3858 1730 9603 7478 5353 3229 1106 8984 6864 4744 'j.67t o5o7 8390 6275 4i6o aec. d.1' 9934 7822 571 1 36o2 i4o3 9385 7279 5173 3o68 0965 8862 6760 4660 2 56o 046 r 8363 6267 4i7» 2076 9983 7890 5798 3707 1617 9529 744i 5354 3268 ii83 9099 7016 10.0021375 1296 i3i7 1 338 1359 i38o 10X>03l4o| i4a3 i443 i464 i485 i5o6 10.002 1 527 i548 1569 1590 161 1 i632 10.0021653 1674 1695 1716 1737 1758 10.0021780 1801 1822 ]843 1864 1 885 0021907 1928 1949 1970 ' 1991 20 1 3 .0029034 2o55 2077 3096 3119 ai4o .0023162 a §83 3304 3336 a 347 3369 0032290 23ll 2333 2354 3376 3397 .00334 18 2440 346 1 3483 25o4 35a6 oo2a547 10 10 10. 10. 10 10, co-itec. 3.1 2.1 2,1 3.1 3.1 3.1 a. I a. I a.i 2.1 2.1 a. I CGMIin. 9.9978735 8704 8683 •20' 5o 4o 3o 20 10 I 5<) 4o 3o 20 3.1 3.1 3.1 2.1 a. I 2.1 a. I a.i a. I 2.1 2.2 3.1 3.1 3.1 3.1 a.i 3.3 a. I 3.1 3.1 3.1 3.2 3.1 a.i 3.2 2.1 3.1 3.1 3.2 a.i a.i 3.3 3.1 a.a 3.1 3.1 3.3 3.1 a.a 3.1 3.1 3.3 2.1 3.3 a.i a.a a.i 86()2 864 1 8620 9.9978599 8578 8557 853*> 85f5 8494 10 Z'l 9-9978473 1^ 845^ 5o 843i 4" 84 10 3a 8189 20 8368 10 9.9978347 17 8396 5c 83o5 4o 8284 3o 8263 20 8242 10 9.9978220 16 S*99 5c 8it8 4o 81 57 3o 8i36 20 8ii5 10 9.9978093 1-5 8072 5o 8o5i 4o 8«3o 3o 8009 20 7987 10 9.99779^6 14 7945 5o 7923 4o 7902 3o 7881 3o 7860 10 9.997783813' 7817 5o 7796 4o 7774 3o 7753 20 773 I 10 9.9977710 12' 7689 5o 7667 4o 7646 3o 7624 20 7603 10 9-9977589 II 7560 5o 7539 4o 7517 3o 7496 20 7474 10 9.9977453 10' d.1" ■in. 84° : LOGARITHMIC SINES, TANGENTS, &C. 193 50 1740 sin. 50' 10 20 3o 4o 5o 51' 10 30 3o 4o 5a 52 10 30 3o 40 5o 53' 10 30 3o 4o 5o 54 lO 20 3o 4o 5o 55' 10 30 3o 4o 5o 56 10 30 3o 4o 5o 57' 10 20 3o 40 5o 5b' 10 30 3o 4o 5o 59' 10 20 3o 4o 5o 60' 9.007 007 007 007 007 008 9.008 008 008 008 009 009 9.009 009 009 o o o 9.0 o o o o o 9.0 o o o o o 9.0 o o o o o 9.0 o o o o o 9.0 o o o o o 9.0 o o o o o 9.0 o o o o o 9.0 o436 2497 45^6 661 5 8672 0729 2784 4839 689^ 8945 0996 3o47 5096 7145 9193 1239 3285 533o 7374 9416 i458 7578 9616 i653 3689 5724 7758 9791 1823 3855 5885 79^4 9942 1970 3996 6022 8046 0070 2092 4ii4 6i35 8i54 0173 2191 4208 6224 8239 0253 2266 4278 6290 83oo o3o9 23i8 4325 6332 8337 0342 2346 dif.l" 206.1 205.9 205.9 2o5.7 205.7 2o5.5 2o5.5 2o5.3 2o5.3 2o5.i 2o5.i 204.9 204.9 204.8 2o4-6 2o4.6 2o4.5 204.4 204.2 204-2 2o4.i 204.0 203.9 2o3.8 203.7 2o3.6 2o3.5 203.4 2o3.3 2o3.2 2o3.2 2o3o 202.9 202.8 202.8 202.6 202.6 202.4 202.4 202.2 202.2 202.1 201.9 201. co-sec. co-Bin. 201 201.7 201.6 201.5 201.4 201.3 201.2 201.2 201.0 200.9 200.9 200.7 200.7 200.5 200.5 200.4 dif.l" 10.992 992 992 992 992 991 10.991 991 991 991 990 990 10.990 990 990 989 989 989 10.989 989 988 988 988 988 1.0.988 987 987 987 987 987 10.986 986 986 986 986 985 10.985 985 985 984 984 984 10.984 984 983 983 983 983 10.983 982 982 982 982 982 10.981 981 981 981 981 980 10.980 9564 75o3 5444 3385 i328 9271 7216 5i6i 3io8 io55 9004 6953 4904 2855 0807 8761 6715 4670 2626 o584 8542 65oi 4461 2422 o384 8347 63ii 4276 2242 0209 8177 6145 4ii5 2086 oo58 8o3o 6004 3978 1954 9930 7908 5886 3865 i846 9827 7809 5792 3776 1761 9747 7734 5722 3710 1700 1 2 5675 3668 1 663 9658 7654 ■ec. tang. 9.009 2984 0095065 0097146 0099226 010 i3o5 010 3383 9.010 5461 0107537 0109612 on 1686 on 3759 on 583i 9.01 1 7903 01 1 9973 012 2042 0124110 012 6178 012 8244 9.013 o3io oi3 2374 01 3 4438 oi3 65oo 013 8562 0140623 9.014 2682 oi4 4i4i 0146799 014 8856 0150912 oi5 2967 9.015 5o2i 01 5 7074 0159126 016 1177 0163227 016 5276 9.0167325 0169372 017 i4i8 0173464 017 55o8 017 7552 9.0179594 018 i636 018 3677 0185717 018 7756 018 9794 9.019 i83i 0193867 0195902 0197936 0199969 020 2002 9.020 4o33 0206064 020 8093 021 0122 021 2i5o 021 4176 9.021 6202 950 co-tang. 25 dif.l' 208.1 208.1 208.0 207. 207. 207.8 207.6 207.5 207.4 207.3 207.2 207.2 207.0 206.9 206.8 206.8 206.6 206.6 206.4 206,4 206.2 206.2 206 205.9 2o5. 2o5. 205.7 2o5.6 2o5.5 2o5.4 2o5.3 2o5.2 2o5.I 2o5.o 204.9 204.9 204.7 204.6 204.6 204.4 204.4 204.2 204.2 204.1 204.0 203.9 2o3.8 203.7 2o3.6 2o3.5 2o3.4 2o3.3 2o3.3 2o3.i 2o3.i 202.9 202.9 202.8 202.6 202.6 dif.l" co-tang. 10 10 sec. 10 10 10 10 10 10 10 10 10 .990 7016 9904935 990 2854 990 0774 989 8695 9896617 .989 453 989 246 9890388 988 83i4 988 6241 988 4169 .988 2097 9880027 987 7958 987 5890 987 3822 987 1756 .9869690 9867626 986 5562 9863500 986 1 438 985 9377 .985 73 18 985 5259 985 3201 985 1144 9849088 984 7033 984 4979 984 2926 984 0874 983 8833 983 6773 983 4724 983 2675 9830628 982 8582 982 6536 982 4492 982 2448 ,982 0406 981 8364 981 6323 981 4283 981 2244 981 0206 9808169 9806133 9804098 980 2064 9800031 9797998 ,979 5967 979 3936 979 1907 978 9878 978 785o 978 5824 .978 3798 10.0022547 2569 3590 3612 3633 2655 10.0032677 2698 2720 2741 2763 2785 io.ooaa8o6 3828 2849 2871 2893 2914 10.0032936 2958 2980 3ooi 3o23 3o45 10.0033067 3o88 3rio 3i32 3i54 3i75 10.0023197 3219 3241 3263 3285 33o6 10.0023328 335o 3372 3394 3416 3438 10.0023460 3482 35o4 3526 3548 3570 10.0023593 36i4 3636 3658 368o 3702 10.0023724 3746 3768 3790 38i2 3834 IO.0O23857 d.l" tang. co-sec. 3.3 2.1 2.2 2.1 2.2 2.2 2.1 2.2 2.1 2.2 2.2 2.1 2.2 3.1 2.3 3.2 2.1 2.2 2.2 2.2 2.1 3.3 3.3 2.3 3.1 2.2 2.2 2.2 2,1 3.3 2.2 2.2 2-2 2.2 2.1 2.2 2-3 3.3 2.2 2.3 3.2 3.2 2.3 3.2 3.3 3.3 2.2 2.2 2.2 2.2 2.2 2.2 2.3 3.3 3.3 3.2 3.3 3.3 2.3 3.3 co-sin. 9.9977453 743 1 7410 7388 7367 7345 9.9977323 73o2 7280 7259 7237 7215 9.9977194 7172 7i5i 10' 5o 40 3o 20 10 y 5o 4o 3o 20 10 8' 5o 4o 71 29! 3o 7107 7086 9.9977064 7042 7020 6999 6977 6955 9.9976933 6912 6890 6868 6846 6825 9.9976803 6781 6759 6737 6715 6694 9.9976672 665o 6628 6606 6584 6562 9.9976540 65i8 6496 6474 6452 643o 9.9976408 6386 6364 6342 6320 6298 9.9976276 6254 6232 6210 6188 6166 9.9976143 d.l' sin. 20 10 7' 5o 4o 3p 20 10 6' 5o 4o 3o 20 10 5' 5o 4o 3o 30 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 4o 3o 20 10 1' 5o 4o 3o 20 10 0' 840 r-* LO&AmiTUlIIO SINES, TANGENTS, &C «« 17»o sinu diCi" 2CX>.2 200.2 200.1 aoo.ol 0' 9.0192346 10 0(94348 20 0196350 3o 0198351 4o 2o4348 10 020 6346 20 oio 834a 3o 021 o337 4o 021 2332 5o 0214325 2' 9.021 63 1 8 10 021 83 10 20 022 o3oo 3o 022 2290 4o 022 4279 •5o 0226267 3' 94*228254 10 023 0240 033 2225 0234210 0236193 0238175 9^)24 01 57 024 2 1 38 02441 1 7 **^1 £2^197 20 3o Ho 5o 4' 10 20 3o 4o 5o 5' 10 20 4o 5o 6' 10 20 3o 025oo5i 9.025 2027 025 4oo2 025 5977 025 7950 0259922 026 1094 94*26 3865 026 5834 026 7803 026 977 1 4o 027 1738 5o 0273704 7' 9.027 5669 10 027 7634 20 027 9597' 3o 028 1 56o 4o 028 352 1 5o 028 5482 8' 90287442 10 028 9401 20 0291359 3o 029 53 [6 40 029 5272 5o 029 7228 !>' 9.0299182 10 o3oii36 20 o3o 3o68 3o o3o 5o4o 4o o3o 6991 5o o3o 8Q4f W 9.03 1 0890 co-urn. 99-9 99.8 99.8 99.6 99.5 99-5 99-3 99.3 99.2 99.0 9Q.O 9^9 98.8 co-tee. taiif. dif.1" 10.9807654 980 565a 98o365o 980 1649 9799649 0224396 979 7650 10.979 5652 979 3654 979 i658 9789663 9787668 978 5675 J0.978 3682 9781690 9779700 977 7710 9775721 9»-7,, 977 3733 98.6 '^-977 '746 ^ - 9769760 976 7775 976 5790 976 38o7 976 1825 10.9759843 975 7862 975 5883 975 3904 975 1926 9749949 »«>'9747973 9745998 974 4o23 974 2o5o 9740078 9738106 10.9736135 9734166 9732197 98.5 98.5 98.3 98.2 98.2 98.1 97-9 97.9 C37.8 97-7 97.6 97.5 97.5 97.3 97.2 97.2 971 96.9 96.9 96.8 96.7 96.6 96.5 96.5 96.3 963 96.1 96.1 960 '^t 95.7 95.6 95-6 95.4 95.4 95.2 95.2 95.1 95.0 94.9 dif.l" 9.021 6202 021 8237 022 oaSi 02a 2274 9730229 0294498 9728262 0296488 97a 6206 029 8477 10.972 433 1 9.o3o o464 972 a366 o3o 245 1 972 o4o3 971 8440 971 6479 97 r 45 IB 10.971 25589.031 2373 971 0599 **3i 4354 9708641 9706684 9704728 970 2772 10.970 0818 9.o3a 4a49 9698864 0326225 9696912 9694960 9693009 969 1059 10.968 9U0 MuC*. 022 63 1 8 9.02 a 8338 023 o357 023 2376 023 4393 023 64io oa3 8426 9.0240441 024 245s 024 4468 024 6480 024 8491 025 o5oi 9.025 25lO 0254519 oa56526 025 8533 026 0539 026 2544 9.026 4548 026 655 r 0268553 0270554 027 2554 027 4554 9.0276552 027 855o 028 o546 028 2542 0284537 028 653 1 9.028 8524 0290517 029 25o8 co-tang. o3o4437 o3o6422 o3o 8407 o3i 0390 o3i 6335 o3i83i5 o32 0294 o32 2272 032 8200 033 0175 o33 2149 o33 4i2i 9.033 6093 oo-taof. 202.5 202.4 202.3 20a. 2 202.2 202 .G 201.9 201 .9 201.7 201.7 201.6 201.5 201.4 201.3 201.2 201.1 ao'i.o 200.9 200^ 200.7 200.7 200.6 200.5 200.4 200.3 200.2 200.1 200.0 200.0 99.8 99.8 99.6 99.6 99.5 99.4 99-3 99.3 99.1 99.0 99.0 98 98-7 98^ 96.6 98.5 98.5 98.3 98.3 98 I 98.1 98.0 97? 77.8 97-7 970 97.5 97.5 97-4 97.2 97.2 ■ee. did" 10-978 3798 978 1773 977 9749 977 7720 977 5704 9773682 10.977 1662 976 9643 97676-24 9765607 9763590 9761574 10.975 9559 97^7545 975 5532 975 352G 975 i5og 9749499 10.9747490 974 5481 9743474 9741467 9739461 973 7456 10.973 545? 973 3449 973 1447 972 9446 9727446 97 a 5446 ia972 3448 97a i45o 971 9454 971 7458 971 5463 971 3469 10.971 1476 970 9483 970 7492 970 55o2 970 35x2 970 i523 10.9699536 969 754 969556 969 3578 969 1 593 968 9610 10.968 7627 968 5646 968 3665 968 i685 967 9706 967 7728 10.9676751 967 3775 967 1800 9669825 9667851 9665879 10.966 3907 d-I" ioxx)a3857 3879 3901 3923 3945 3967 io.ooa3989 4oi2 4o34 4o56 4078 4ioi 104K>24l23 4i45 4167 4190 4at2 4234 10.0024,257 4379 43oi 4324 4346 4368 10V0024391 44i3 4435 4458 448o 45o3 10.0024525 4547 4570 4592 461 5 4637 10.0024660 4682 47o5 4727 47 5o 4773 10.0024795 48 r8 484o 4863 4885 . 4908 10.0024931 4953 4976 4999 5o2f 5o44 io.ooa5o67 5089 5lI2 5i35 5i57 5r8o io.oo25ao co-«in. a. a 2.2 2.2 a.a 2.2 9.9976143 6121 6099 6077 6o5S 6o33 •39.99760H ^'^ 5988 59t)6 5944 5q23 5899 9.9975877 5855, 5833 58io 5788 5766 9.9975743 5721 5699 5676 5654 5632 919975609 5587 5565 5542 5520 5497 9.9975475 5453 543o 54o8 5385 5363 9.9975340 53i8 5295 5273 52 5o 5227 9.9975205 5182 5i6o 5i37 5ii5 5092 ^9975069 5o47 5o24 5oo 4979 4956 99974933 49" 3 a.a a. 2 2.2 2.3 2.2 2.2 2.2 2.3 2^ 23 2.2 2J! 2.31 2.2 2.2 a.3 2.2 2.2 2.3 a.2 a.3 a.a 2.2 2.3 a.a a.a a.3l 2J2 a.3 2J2 a.3 2.31 2.2 2.3 2,2 2.3 2.2 2.3 2.3 2.2 2.3 2.3 2.2 2.3 2.3 2.2 2.3 23 3.2 2.3 2.3 Ung, co-aec, \d.l" 4888 4865 4843 4820 9.9974797 60 5(. 4o 3o 20 10 59' 5c 40 3o 20 10 .58' 5o 4o 3() 20 10 57' 5( 4o 3o 20 10 56 5o 40 3o 20 10 55' 5o 4o 3o 20 10 54' 5o /o :0 ;o 10 53' 5o 4o 3o 20 10 .52' 5o 4o 3o 20 10 51' 5o 4o 3o 20 10 50' •m. 830 LOGARITHMIC SINES, TANGENTS, &C. 195 6» 1730 10' 10 20 3o 4o 5o 11' 10 20 3o 4o 5o 12 iO 20 3o 40 5o 13 10 20 3o 4o 5o 14' 10 20 3() 40 5o 1.5' 10 20 3o 4o 5(1 16 10 20 3o 4o 5o 17' 10 20 3() 4c) 5o 18 10 20 3() 4o 5(> i:> 10 20 3() 40 5o 20 sm. 9.03 1 o3i o3i o3i o3i o32 9.032 o32 o32 o32 o33 o33 9.033 o33 o33 o34 o34 o34 9.03 >! o34 o34 o35 o35 o35 9.0J5 o35 o36 o36 o36 o36 9-036 o37 o37 o37 o37 o37 9-038 o38 o38 o38 o38 039 9.039 0J9 039 039 039 o4o 9.040 o4o o4o o4o 04 f o4i 9.04 1 o4i o4i 042 042 042 9.042 diCl" 0890 2839 4786 6733 8678 0623 2567 45io 6452 8393 o334 2273 42(2 6149 8086 0022 1957 3892 $825j 7757| 9689 1620' 355o| 5479! 7407 9334 1261 3 1 86^ 5i ii| 7o35, 8958; 0880; 2801 4721 664i 8559 0477 2394 43io 6226 8r4o 00 54 1966 3878 5789 7699 9608 i5i7 3424 533 1 7237 9142 1046 2950 4852 6754 8655 o555 2454 4352 6349 co-am. 94.9 94.7 94.7 94.5 94.5 94.4 9I.3 94.2 9ii 94.1 93.9 93-9 93.7 93.7 93.6 93.5 93.5 93.3 93.2 93.2 93.. 93.0 92.9 92.8 92.7 92.7 92.5 92.5 92.4 92.3 92.2 92.1 92.0 92.0 91.8 918 91.7 91.6 91.6 91.4 91.4 91.2 91.2 91.1 91 -O 90.9 90.9 90.7 90.7 90.6 90.5 90.4 90.4 90.2 90.2 90.1 90.0 89.9 89.8 89.7 co-sec. diCl" 10.968 968 968 968 968 967 10,967 967 967 967 966 966 10.966 9f>6 966 965 965 965 10.965 965 965 964 964 964 10.964 964 963 963 963 963 10.963 962 963 962 962 962 10.961 961 961 961 961 960 10.960 960 960 960 960 959 10.959 959 959 959 958 958 10.958 958 958 957 957 9^7 10.957 9110 7161 5314 3267 l322 9377 7433 5490 3548 1607 9666 7727 5788 385 1 1914 9978 8043 6108 4175 2243 o3ii 838o 64 5o 4521 2593 0666 8739 6814 4889 2965 1043 9120 7199 5279 3359 i44r 9523 7606 5690 3774 i860 9946 8o34 6122 421 1 23oi 0392 8483 6576 4669 2763 o858 8954 7o5o 5i48 3246 1 345 9445 7546 5648 3751 sec. tang. 9.033 6093 033 8064 034 oo35 o34 2004 o34 3972 o34 5940 9.034 7906 034 9872 035 i837 o35 38oi o35 5764 035 7727 9.035 9688 036 1649 o36 3609 o36 5567 0367526 036 9483 9.037 1439 037 3394 o37 5349 o37 730J 037 9256 o38i2o8 9.038 3 1 59 038 5109 o38 7o58 038 9007 039 0955 039 2903 9.039 4848 0396793 039 8737 040 068 1 o4o 2623 o4o 4565 9.040 65o6 o4o 8446 o4i o385 o4i 2324 o4i 4261 o4[ 619S 9.041 8 1 34 042 0069 042 2oo3 042 3936 042 5869 042 7800 9.042 973 r 043 1661 043 3590 043 5519 043 7446 043 9373 9.044 1299 044 32 23 0445 1 48 0447071 o44 8993 0450915 9.045 2836 co-tang. di£l" 97.1 90.8 96.8 96.6 96.6 96.5 96.4 96.3 96.3 96.1 96.1 96.0 95.8 95.9 95.7 95.6 95.5 95.5 95.4 95.3 95.2 95.1 95.0 94.9 94.9 94.8 94-7 94.6 94.5 94.4 94.4 94.2 94.2 94.1 94.0 93.9 93.9 93.7 93.7 93.6 93.5 93.4 93.3 93.3 '?•' 93.0 92.9 92.9 92.7 92.7 92.6 92.4 92.5 92.3 92.2 92.2 92.1 diCl" co-tang. 10.966 3907 966 1936 9659965 965 7996 965 6028 965 4o6o 10.965 2094 9650128 9648163 96461 96442 964 2273 10.9640312 963 835 T 963 6391 9634433 963 2474 963o5i7 10.962 856i 9626606 962 465 1 962 2697 962 0744 961 8792 10.961 684i 961 4891 961 2942 961 0993 960 9045 9607098 10.960 5i52 9603207 960 1 363 959 93 1 9 959 7377 959 5435 10.959 3494 959 1 554 9589615 958 7676 958 5739 958 38o2 10.958 1866 9579931 957 7997 957 6064 95741 3 r 957 2200 10.957 0269 956 8339 9566410 956 4481 956 2554 956 0627 10.955 8701 955 6777 955 4852 955 3929 955 1007 9549085 10.9547164 tan?. ■ec. 10 10 10 lO 10 10 10 10 10 £0 10 .0025203 5226 5248 5271 5394 53i7 0025340 5362 5385 5408 543 1 5454 .0025477 5499 5522 5545 5568 5591 .oo256i4 5637 566o 5683 5706 5729 .0025752 5775 5798 5821 5844 5867 0025890 5913 5936 5959 5982 6oo5 0026029 6o52 6075 6098 6121 6i44 .0026167 6191 6214 6237 6260 6284 0026307 ■ 633o 6353 • 6377 6400 6423 .0026446 6470 6493 65i6 654o 6563 .0026586 co-sec. d.1 d.l' co-8in. Kin. 50' 5o 4o 3o 20 10 49' 5o 4o 3o 20 10 48' 5o 40 3o 20 10 47' 5o 4o 3o 20 10 46' 5o 4o 3o 20 10 9.9974797 4774 47^2 4729 4''o6 4683 9.9974660 4638 46i5 4592 4569 4546 9.9974523 45oi 4478 4455 4432 4409 9.9974386 4363 4340 4317 4294 4271 9.9974248 4225 4202 4179 4i56 4i33 9.9974 rioj45' 4087 4o64 4o4i 4oi8 3995 9.9973971 3948 3925 3902 38-9 3856 9-9973833 3809 3786 3763 3740 3716 9.9973693 3670 364- 3623 36oo 3577 9.9973554 353o 35o7 3484 3460 3437 9.9973414 5o 40 3o 20 10 44' 5o 4o 3o 20 10 43' 5o 40 3o 20 10 42' 5o 4o 3o 20 10 41' 5o 4o 3o 20 10 40' 9G0 830 1 ■!"■■■ I I 196 LOGARITHMIC SINES, TANGENTS, &C. «o 173° 2:k 9.04a 6249 to 043 Bi4d 90 043 004 3o 043 1937 4o 043 353 1 5o 043 5724 :JI' 9.043 7617 10 o4i95oiJ ao 044 1 399 3o n44 3ao9 4o o44 5i7« 5o 044 7066 22' 9.044 »954 10 045 oa4o 20 045 372'6 3o o45 46 1 1 4o o45 649^3 5o 045 B37tJ SKJ' 9.046 0261 lo 0462143 ao 0464023 3o o46 59^3 4o o46 77^3 5o o46 9661 24' 9.047 ^538 10 047340 ao o47 525?i 3o o47 7i*36 4o o47 9'34o 5o 04B0914 & 9.048 ^7*^ 10 048 4658 w o48 6529 3o o48 8399 4o 049 0269 5o 0492137 26' 9.049 4oo5 10 049 5872 ao o49 7738 30 o49 96t>3 4o o5o 1 468 5o o5o333i 27'9-o5o5i94 10 o5o 7o56 so 0508917 3o o5i 0778 4b o5i 263- 5o o5i 4496 2d'9.o5i6354 10 o5i 821 1 30 0^2 0068 3o o5a 1923 4o o53 3778 5o o52 5632 a.y 9.o52 7485 10 o52 933s ao o53ii89 3o o53 3o4o 4o o53 4890 5o o53 6739 dif. 1 " 30' 9.o53 8588 e«-flia. 189.7 189.6 189.5 189,4 189.3 189.3 189.1 189.0 188.9 188.8 188.8 188.6 188.6 188.5 188.4 188.3 188.3 188.2 188.0 188.0 188.0 187.8 187.7 187.7 187.6 187.5 187.4 187.4 187.2 187.2 187. 1 187.0 187.0 186.8 186.8 186.7 186.6 186.5 186.5 186.3 186.3 186.2 186.1 186.1 185.9 185-9 185.8 185.7 185.7 185.5 185.5 i85.4 185.3 185.3 i85.i 1 85. 1 i85o 184.9 184.9 10.9573751 957 1 854 tmag. 9560958 0456675 9568063 956 6 r 6^ 956 4276 r 0.956 2383 956049a 955 8601 9556711 955 482a 955 2934 10.955 io46 9549160 954 7274 954 5380 954 35o5 954 162 a 10.953 9739 9.048 7270 9537857 0489175 953 5977 049 1 079 953 4i>97 049 298 J 9532217 0494886 9530339 0496788 10.95284629.0498689 9.045 2836 a45 4756 045 8593 o46t>5ii 046 2428 9.046 4343 046 6258 0468173 047 0086 o47 i999 047391c; 9.0475821 047 773 1 0479641 048 1549 o48 3457 o48 5364 M, 192.0 '9* -9 191.8 191.8 191.7 191. 5 191.5 191.5 191.3 191.3 191.1 191. 1 191.0 191 .0 190.8 190.8 190.7 oo-tan|f* 10.9547164 diCl" 952 6585 952 4709 952 2834 9520960 951 9086 10.951 7ai4 951 5342 95 J 3471 951 1601 9509731 950 7863 10.950 5995 9504128 950 2262 950 0397 9498532 9i£i9 6669 10.9494806 949 2944 949 io83 9:^8 9922 948 7363 948 55o4 10.948 3646 948 1789 947 993a 947 8077 9>J7 62a2 947 4368 10.947 25 1 5 947 f)662 946 88 II 946696b 946 5iio 946 3 26 1 10.946 i4ia o5o 0589 o5o 2489 o5o 4387 o5o 6285 o5o8i82 9,o5i 0078 o5i 1974 o5i3869*"V 0515762) '59- o5i 7656 o5i 9548 9.052 1439 o52 333o oSa 5220 o5a 7109 052 8997 053 0884 9.053 2771 o53 4657 o53 6542 053 84a6 o54o3io 0542192;^^-^ 9.054 4074 o^-^ 0545955'^^ ' 054 7836 05497 1 5 055 1594 o55 347a 190.3 190.2 190.1 i9 95 1 4636 9"a. 0.951 2730 9o.a ^^j ^^5 '9«j 9508921 1 00.4 'c ' .^^ 9507017 95o5ii4 95o3aia 10.950 i3ii 949 941 1 9497511 9495613 9493715 9401818 10.9489933 948 8oa6 948 61 3 1 948 4238 948 2344 948 0452 10.947 856 1 9476670 947 4780 947 2891 947 ioo3 946 91 16 10.946 7230 946 5343 946 3458 946 1 574 945 9690 945 780H 10.945 5926 945 4045 945 2i64 945 0285 9448406 944 6528 10.9444651 944 a775 944 0899 943 9oa5 9437151 943 5378 10.943 34o5 187.3 di£r tang. 10.0026586 6610 6633 6657 6680 6703 10.0026727 675*) 6774 6797 6821 6844 10.0026868 6891 6915 6938 69f>2 6985 10.0027009 7o32 7o56 7079 7io3 7127 10.00271 5o 7174 7198 7221 7245 7368 10.0037293 73i6 7340 7363 7387 7411 10.0037434 7458 7482 75o6 7529 7553 10.0027577 7601 7625 7649 7672 7696 10.0037730 7744 7768 7792 7816 7840 10.0037863 7887 7911 7935 7959 7983 10.0028007 d.l" co-Bin. co-iec. a. 4 a.3 2.4 a.3 a.3 3.4 2.3 a. 4 2.3 3.4 3.3 a. 4 a.3 a.4 2.3 2.4 a.3 2.4 2.3 a.4 2-3 a-4 2.4 a.3 a.4 a.4 2.3 a.4 2.3 a.4 2.4 a.4 2.3 a.4 2.4 2.3 2.4 a.4 a.4 2.3 2.4 2.4 2.4 2.4 2.4 2.3 U\ 2-4' 2.4 2.4 2-4 2.4 2.4 a.3 2.4 2.4 2.4 2.4 3.4 a.4 9.9973414 339< 33fi7 3343 33 30 3397 9.9973273 32 5o 3226 32o3 31-9 3 1 '.6 9.9973133 3109 3o85 3062 3o38 3oi5 9.9972991 2968 d.l" 2944 2921 2897 2873 9.9972850 2836 2802 2779 2755 2733 9.9972708 2684 266' 10 20 3o 4o 5o 31' 10 20 3o 40 5o 32' 10 20 3o 4o 5o 33' 10 20 3o 4o 5o :m 10 20 3o 4o 5o ;J5' 10 20 3o 40 5o •36' 10 20 3o 4o 5o 37' 10 20 3o 40 5o 38' 10 20 3o 4o 5o 31)' 10 20 3o 4o 5o 40' Bin. 9.053 8588 o54 0435 o54 2282 0544128 o54 5973 054 7818 9.0549661 055 i5o4 o55 3346 0555187 o55 7028 055 8867 9.056 0706 056 2544 o56 4382 0566218 o56 8o54 056 9880 9.057 1733 057 3556 057 5389 o57 7221 057 9053 058 0882 9.058 271 1 o58 4540 058 6368 0588195 0590022 059 1847 9.0593672 059 5496 0597319 0599143 0600963 060 2784 9.060 46o4 0606424 0608242 o6f 0060 061 1877 061 3693 9061 5509 061 7334 061 91 38 062 0951 063 2763 062 4575 9062 6386 062 8196 o63ooo5 063 i8i4 o63 3622 o63 5439 9.063 7235 063 9041 064 o846 064 365o 064 4453 064 6355 9.064 8057 co-Bin. diCl" 84.7 84.7 84 6 84.5 84.5 84.3 84.3 84.2 84.1 84.1 83.9 83-9 83.8 83.8 83.6 83.6 83.5 83.4 83.3 83.3 83.2 83.1 83.0 82.9 82.9 82.8 82.7 82.7 82.5 82.5 82.4 82.3 82.3 82.1 82.1 82.0 82.0 81.8 81-8 81.7 81.6 81.6 81.5 81.4 81.3 8r.2 81.2 81.1 81.0 80.9 80. 80. 80.7 80.6 80.6 80.5 80.4 80.3 80.2 80.2 dif.l' co-sec. 10. 10 10 10 10 10 10. 10 10 10 10 946 l4'2 945 9565 9457718 945 5872 945 4027 945 2182 .945 0339 944 8496 944 66:)4 9444813 944 2972 944 II 33 .943 9294 943 7456 9435618 943 3782 943 1946 943 01 1 1 .942 8277 942 6444 942 4611 942 2779 942 0948 94t 9118 .941 7389 94 f 5460 941 3632 941 i8o5 940 ,978 9io8i53 .940 6328 940 45o4 940 268 1 940 o858 9399037 9397216 .939 5396 939 3576 939 1758 938 9940 9388123 938 63o7 •938 4491 938 2676 938 0862 937 9049 9377237 937 5435 .937 2614 937 i8o4 936 9995 9368186 936 6378 9364571 .936 2765 936 0959 935 9154 935 735o 935 5547 935 3745 ».935 1943 aec. tang. 9.o56 6595 056 8466 057 o337 o57 2207 o57 4076 o57 5945 9.0577813 057 9679 o58i545 058 34ii 058 5275 0587139 9.o58 9002 059 0864 059 2726 059 4586 059 6446 059 83o5 9.0600164 060 2021 0603878 060 5734 0607589 060 9444 9.061 1397 061 3i5o 061 5oo2 0616854 061 8704 063 o554 9.062 24o3 062 4252 062 6099 062 7946 062 9793 06 3 16.37 9.063 3482 063 5325 o63 7168 063 901 1 064 o852 064 2693 9.064 4533 064 6373 0648210 o65oo48 065 1 885 o65 3721 9.065 5556 o65 7391 065 9225 066 io58 066 2890 0664723 9.0666553 066 8383 0670313 067 2o4i 067 3869 067 5696 9.067 7522 diCl" co-tang. 87.1 87.1 87.0 86.9 86.9 86.8 86.6 86.6 86.6 86.4 86.4 36.3 86.2 86.2 86.0 86.0 85.9 85.9 85.7 85.7 85.6 85.5 85.5 85.3 85.3 85.3 85.2 85.0 85.0 84-9 84-9 84-7 84-7 84.6 84.5 84.5 84.3 84.3 84.3 84.1 84.1 84.0 83.9 83.8 83.8 83.7 83-6 83.5 83.5 83.4 83.3 83.2 83.2 83.1 83.0 82.9 82.9 82.8 82.7 82.6 co-tan». 10.943 943 942 942 942 94a 10.943 942 941 941 941 941 10.941 940 940 940 940 940 10.939 939 939 939 939 939 10.938 938 938 938 938 937 10.937 937 937 937 937 936 10.936 936 936 936 935 935 10935 935 935 934 934 934 10.934 934 934 933 933 933 10.933 933 93 a 932 932 932 10.932 34o5 1 534 9663 7793 5924 4o55 2187 o32i 8455 6589 4725 2861 0998 9i36 7274 54i4 3554 16 9830 7979 6122 4266I 24ri o556 8703 685o 4998 3 146 1296 9446 7597 5748 3901 2o54 03o8 8363 65r8 4675 2832 0989 9148 73o7 5467 3628 1790 9952 8u5 6279 4444 2609 0775 8942 7110 5278 3447 1617 9788 l^l^ 6i3i 43o4 2478 dif. I" taug. Bee. d.1" 10 10 10 10 ro 10 10 10 10 10 10 0028007 8o3i 8o55 8079 8io3 8127 002815 1 8175 8199 8224 8248 8272 0028296 8320 8344 8368 839 84i7 .0028441 8465 8489 85i3 8537 8562 ,0028586 8610 8634 8659 8683 8707 0028732 8756 8780 8804 8839 8853 .0028878 8902 8926 8951 8975 8999 .0029024 9048 9073 9097 9122 9146 ,0029171 9195 9220 9244 9269 9293 .0029318 9342 9367 9391 9416 9441 .0029465 co-sec. 2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.5 2.4 2.4 2.4 2.4 2.4 2.4 2.4 2.5 2.4 2.4 2.4 2.4 2.4 2.5 2.4 2.4 2.4 2.5 2.4 2.5 2.4 2.4 2.4 2.5 2.4 2.5 2.4 2.4 2.5 2.4 2.4 2.5 2.4 2.5 2.4 2.5 2.4 2.5 2.4 2.5 2.4 2.5 2.4 2.5 2.4 2.5 a.4 a. 5 2.5 2.4 co.«in. 9-997 9-997 9-997 9-997 9-997 993 962 943 921 897 873 840 82D 801 776 753 728 704 680 656 633 608 583 559 535 5ii 487 463 438 4i4 390 366 341 3i7 293 268 244 220 196 171 147 122 098 074 049 025 001 9.9970976 0952 0927 ooo3 0878 o854 9.9970829 o8o5 0780 0756 0731 0707 9.9970682 o658 o633 9-997 9-997 d.1" 30' 5o 40 3o 20 10 29' 5o 40 3o 20 10 28' 5o 40 3o 20 10 27' 5o 4o 3o 20 10 26' 5o 4o 3o 20 10 2.5' 5o 4o 3o 20 10 124' 5o 40 3o 20 10 2.3' 5o 4o 3o 20 10 22' 5o 40 3o 20 10 21' 5o 4o 0609 3o o584 0559 9.9970535 ■in. 20 10 20' 90« 830 198 LOGARITHMIC SINES, TANGENTS, &C. HO 173° •in. 40' lO 3(1 4" 5<) 41' lo 2«> 3f)5 3458 065 5:>57 4'>39 (»6(i6(j33 06678^7 9.0669619 067 i4i I o67 3,>o3 «>67 4993 067 6783 067 8572 9.1168 o36<> 068 2147 068 3934 068 5720 068 75<)5 068 929f )j 9.069 1074 <»69 3857 069 4639I 069 642 1 0698201 6 Q 0^)95745'^' 069 7563 9.0699381 070 1 197 07030 1 3 070 4829 07066431 'J' 0708457 9.071 0270 071 2082 071 3894 071 5704 071 75i5 181 181 181 181 181 18 dif.l" 93 r 071 ol 071 93?4 0.930895619.072 1 1 33 9307143 072 2940 930 536 1 072 4748 93(j 3579J 072 6554 930 1799 9300019 10.9298239 929 646 1 9294683 929 29o() 920 1 129 928 9354 10.928 7579 928 58o5 928403 1 928 2259 928 0487 9278715 10.927 6945 927 5i75 927 3406 927 i638 926 0870 926 » I o4 10.9266337 9264572 926 2807 926 1043 9259280 9257518 0773266 10.925 5756 9.077 5o53 9253995 077683 925 2235 077 862 9250475 0780410 9248716 0782194 924 6958 078 3977 10.924 520I 9.078 5760 181 181 181 181 i8t 180 180 180 180, 180 072 836(Ji'Q 9-«73 19^91,80, 073 3772 ^^ 0735575'°^ 073 7377 ^ .6 .5 .4 .3 3 a .1 .0 .0 t .8 .6 ,6 .6 •4 •4 .3 .2 .2 .0 .1 9 9 •7 .8 .6 ,6 .5 4 3 3 co-taiig. 0739178 074 0979 9.074 2779 074 4578 074 6376 0748174 0749971 075 1767 9.075 3563 075 5358 0757152 075 8945 076 0738 076 253o 9.0764321 076 61 1 1 076 7901 180 180 180 179 '79 179 179, 179, 179. 179. 179, 179. 179- 179. 179. 179 179 0769690 ]]J„ 0771479,78; 178 178 •78 178 '78 178 178 •ec. co-tang. .1 .0 9 .8 ,8 ,7 .6 .6 .5 .4 .3 .3 .2 .1 ,0 .0 9 9 7 •7 6 .6 .5 4 ,3 3 dif,l" 10.932 2478 932 o652 931 8827 931 70o3 93 1 5i8o 931 3357 10.931 i535 9309714 930 7894 930 6074 9304255 93o 2437 10.930061a 929 880J 929 6987 9295171 939 3357 929 1 543 10.928 9730 9287918 9286106 92842 928 24 928 0676 10.927 8867 927 7060 927 5252 927 3446 937 1640 926 9835 10.9268031 9366228 9364425 926 2623 936 0822 925 9021 10.925 7221 925 5422 925 3624 925 1826 925 0039 924 8233 10.924 6437 924 4642 924 2848 924 io55 923 9262 923 7470 10.923 5679 923 3889 923 2099 923o3io 9228521 922 6734 10.922 4947 922 3i6i 92 a 1375 921 9590 921 7806 921 6023 10.921 4240 ■ec. 10.0029465 9490 9514 9539 9564 9588 10.0029613 9638 9662 9687 9712 9737 10.0029761 9786 9811 9835 9860 9885 10.0029910 9935 9959 10.0029984 io,oo3ooo9 oo34 io.oo3oo59 0084 0109 01 33 oi58 oi83 io.oo3o2o8 0233 03 58 03S3 o3o8 o333 io.oo3o358 o383 0408 0433 o458 o483 io.oo3o5o8 o533 o558 o583 0608 0633 io.oo3o658 o683 0709 0734 0759 0784 io.oo3o8o9 o834 0860 o885 tang. 0910 0935 10.0030960 co-Bee. d.r a.5 a.4 2.5 2.5 2.4 2.5 a.5 2.4 a.5 2.5 2.5 2.4 a.5 a.5 2.4 2.5 2.5 2.5 2.5 2.4 2.5 2.5 2.5 2.5 2.5 2.5 2.4 2.5 2.5 2,5 a.5 2.5 2.5 2.5 2.5 2.5 3.5 2.5 a.5 2.5 2.5 2.5 2.5 2.5 a.5 a.5 2.5 a.5 2.5 2.6 2.5 2.5 2.5 2.5 2.5 2.6 2.5 a.5 2.5 2.5 co-Bin. 9.9970535 o5io o486 0461 o436 o4i2 9.9970387 o363 o338 o3i3 0288 0263 9.9970239 0214 0189 0160 oi4o on 5 9.9970090 oo65 oo4 99970016 9.9969991 996() 9.9969941 9016 9891 9867 9842 9817 9.9969793 9767 9742 9717 9667 9.9969642 9617 9593 9567 9542 9517 9.9969493 9467 9442 9417 9393 9367 9.9969342 9317 9391 9366 9241 9216 9.996919 9166 914^ 9115 9090 9065 9.9969040 d.l' ■in. 20' 5o 4o 3o 20 10 10 5o 4o 3o 2U iO lU 5o 4o 3o 20 10 17 5o 40 3o 20 10 16' 5o 40 3o 20 10 1.5' 5o 4o 3o 20 10 14' 5o 40 3o 30 10 i:j 5o 4o 3o 20 10 12' 5o 4o 3o 20 10 II' 5o 4o 3o 20 10 10' LOGARITHMIC SINES, TANGENTS, &C. 199 60 1T30 50' 10 ao 3o 4o 5o 51' 10 20 3o 40 5o 52' 10 20 3o 4o 5o 53' 10 20 3o 4o 5o 54' 10 20 3o 4o 5o 55' 10 20 3o 4o 5o 56 10 20 3o 4o 5o 57' 10 20 3o 4o 5o 58 10 20 3o 4o 5o 59' 10 30 3o 4o 5o 6iJ sin. dif.!" m*> 830 9.075 4799 075 6556 075 83 12 0760067 076 1822 076 3575 9.076 5329 0767081 076 8833 077 o584 077 2334 077 4o83 9.077 5832 077 758o 077 9327 078 1074 078 2820 078 4565 9.0786310 078 8o54 078 9797 079 1539 0793281 079 5023 9.079 6762 079 85o2 080 0240 080 1979 080 37 1 6 080 5453 9.0807189 080 8924 081 0659 081 2393 o8r 4126 081 5858 9.081 7590 081 9321 082 I052 082 2781 082 45io 082 6239 9.082 7966 082 9693 083 i4i9 o83 3i45 o83 4870 083 6594 9.083 83 17 084 oo4o o84 1762 o84 3484 084 52o4 084 6924 9.084 8643 085 o362 08 5 2080 o85 3797 o85 55 14 o85 723o 9.085 8945 co-8in. 75.7 75.6 75.5 75.5 75.3 75.4 75.2 75.2 75.1 75.0 74-9 74-9 74.8 74-7 74.7 74.6 74.5 74-5 74.4 74-3 74.2 74.3 74-1 74.0 74.0 73.8 73.9 73.7 73.7 73.6 73.5 73.5 7.3.4 73.3 73.2 73.2 73.1 73.1 72.9 72.9 72.9 72.7 72.7 72.6 72.6 72.5 72.4 72.3 72.3 72.2 72.2 72.0 72.0 7T.9 71' 7i' 71.7 71-7 71.6 71.5 co4ec. 10.924 5201 924 3444 924 1688 923 9933 9238178 923 6425 10.9234671 923 2919 923 1 167 922 9416 922 7666 922 5917 10.9324168 922 2420 922 0673 921 8926 921 7180 921 5435 10.921 3690 921 1946 921 0203 9208461 9206719 920 4978 10.9203238 920 1498 tang. dif.!" did" 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 1760 98021 96284 94547 9 2811 9 1076 89341 87607 8 5874 8 4«42 82410 80679 78948 77219 75490 7376 7 2o34 7o3o7 6 858 1 6 6855 6 5i3o 6 3406 6i683 59960 5 8238 565i6 54796 5 3076 5i357 49638 47930 46208 44486 42770 4 io55 9.078 5760 078 7542 078 9823 079 iio3 079 2883 079 4662 9.0796441 079821b 0799995 080 1771 080 3547 080 5322 9.080 7096 0808869 081 0642 081 24i4 081 4i85 081 5956 9.081 7726 081 9495 082 1264 082 3o32 0824799 082 6565 9.082 833 1 0830096 083 i860 o83 3624 o83 5387 083 7149 9.083 891 1 084 0672 o84 2432 0844191 o84 5950 084 7708 9.084 9466 085 1222 o85 2978 o85 4734 08 5 6488 085 8242 9.085 9996 086 1748 086 35oo 086 52 5 1 086 7002 086 8752 9.087 o5oi 087 2349 087 3997 087 5744 087 7491 087 9336 9.0880981 088 2736 088 4470 0886213 088 7955 088 9697 9.089 i438 ■ec. co-tang. 78.2 78.1 78.0 78.0 77-9 77-9 77-7 77-7 77.6 77.6 77.5 77-4 77.3 77.3 77.2 77.1 77-1 co-tang. 76.9 76.8 76.7 76.6 76.6 76.5 76.4 76.4 76.3 76.2 76.2 76.1 76.0 75.9 75-9 75.8 75.8 75.6 75.6 75.6 75.4 75.4 75.4 75.2 75.2 75.1 75.1 75.0 74-9 74-8 74.8 74.7 74.7 74.5 74-5 74.5 74.4 74.3 74.2 74.2 74.1 io.oo3 10.921 4240 10.0030960 921 2458 ' °^ 921 0677 920 8897 920 71 17 920 5338 10.920 3559 *<^-oo3 920 1782 920 ooo5 9198229 9196453 9194678 10.919 2904 io.oo3 919 ii3i 9189358 9187586 9i8 58i5 9184044 770 10.918 2274 ZS? 9i8o5o5 9178736 9176968 917 520I 917 3435 '"■'^ 10.917 1669 io.oo3 7*^-^ 9169904 9168140 9166376 9i6 46i3 9162851 10.916 1089 io.oo3 9i5 932fc 9x5 7568 91 5 5809 91 5 4o5o 91 5 2393 10.9150534 io.oo3 9148778 1901 9147033 1927 9145266 1952 9143513 1978 914 1758 3oo4 10.914 0004 I0.0033039 9138252 2o55 9i3 65oo 2081 9134749 2106 9182998 2182 918 1248 2i58 10.912 9499 10.0082188 9127751 2209 9126008 2285 9124256 2261 912 2509 2286 9120764 2812 'Tr 10.91 I 9019 10.0082388 '^^■^ 9IT 7274 2864 911 553o 2890 9118787 24i5 911 3o45 2441 91 1 0808 2467 10.910 8562 10.0082498 sec. 0986 on 086 061 087 112 187 1 63 188 2l3 289 264 289 8i5 340 365 891 416 442 467 493 5i8 548 569 594 620 645 671 696 723 748 773 799 834 85o 875 did' tang. d.l' co-see. 2.6 2.5 2.5 2.5 2.6 2.5 2.5 2.6 2.5 2.5 2.6 2.5 2.5 a.6 2.5 2.5 2.6 2.5 2.6 2.5 2.6 2.5 2.5 2.6 2.5 2.6 2.5 2.6 2.5 2.6 2.6 2.5 26 2.5 2.6 2.5 2.6 2.6 2.5 2.6 2.6 2.5 2.6 2-.6 2.5 2.6 2.6 2.5 2.6 2.6 2.6 2.5 2.6 2.6 2.6 2.6 2.5 2.6 2.6 2.6 co-ain. 9.9969040 9014 8989 8964 8989 8918 9.9968888 8863 8887 8813 8787 8761 9.9968786 871 1 8685 8660 8685 8609 9.9968584 855« 8583 85o7 8483 8457 9.996848 84o6 8880 8355 8829 83o4 9.9968278 8252 8227 8201 8176 81 5o 9.9968125 8099 8078 8048 8022 7996 9,996797 7945 7919 7894 7868 7842 9.9967817 7791 7765 7789 7714 7688 9.9967663 7686 7610 7585 7559 7583 9.9967507 10' 5o 4o 3o 20 10 9' 5o 4o 3o 20 10 8' So 4o 3o 20 10 7' 5o 4o 3o 20 10 6' So 40 3o 20 10 5' So 4o 3o 20 10 4' So 4o 80 20 10 3' So 4o 3o 20 10 2' So 40 3o 20 10 1' 5o 4o 3o 20 10 0' d.l" ■in. 960 830 200 LOGAEITHMIC SINES, TANGENTS, &C. JO ino IP I ■in. 0' If) 20 3o 4o 5o 1 10 20 3o 4o 5o 2' 10 20 3o 4o 5o 3' 10 ao 3(1 io 5o 4' 10 ao 3o 4o 5o 5' 10 20 3o 4o 5o 6' 10 20 3o 4o 5o 10 ao 3o 40 8' 10 20 3o 4o W 10 so 3o 4o 5o W 9.085 8945 0860659 086237J 0864086 0865798 0867510 9.086 922 0870^32 087 2641 087 435o 0876059 0877760 9.087 9473 088 1 179 0882885 088 459( 0886294 0887998 9.088 9700 089 i4o3 0893104 089 48o5 0896505 089 82o5 9.0899903 090 1602 0903299 0904996 0906692 0908387 9-091 0082 091 1776 091 3470 091 5162 0916854 091 8546 9092 0237 092 1927 092 36i6 092 53o5 0926993 0928680 9.093 o367 093 2o53 093 3739 093 5423 0937107 093 8791 9.094 0474 0942156 094 3837 0945518 0947198 094 8877 9.095 o556 0952234 095 3912 095 558o 095 7265 0958940 9.0960615 diCl" 171.4 171.4 171.3 171. 2 171.2 171.1 171.1 170.9 170.9 170,9 170.7 170.7 170.6 170.6 170.5 170.4 170.4 170.2 170.3 170.1 170.1 170.0 170.0 169.8 169.9 169.7 169. 169.6 co-tee. tang. 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 9 9 9 9 9 10.9 4 io55 39341 3 7627 3 5914 34202 3 2490 30779 2 9068 2 7359 2 565o 2 3941 2 2234 20527 1 8821 1 7ii5 I 5410 I 3706 9.089 1 438 0893178 0894918 0896657 089 8395 09001J2 9.090 1869 090 36o6 090 5341 090 7076 0908810 091 o544 9.091 2277 091 4009 091 5741 091 7472 091 9202 092 0931 dif.!" 1 2002 I o3oo 9.092 2660 08597 06896 05195 o 3495 o 1795 co-«ia. 169 169.5 169.4 169.4 169.2 169.2 169.2 1 69. 1 160.0 168.9 168.9 168.8 168.7 168.7 168.6 168.6 168.4 168.4 168.4 168.3 168.2 168.1 168.1 168.0 167.9 167.Q 167.8 167.8 167.7 167.6 167.5 167.5 mv 9098398 9096701 9095004 909 33o8 ^i6i3 9918 9080224 908 653o 908 4838 9o8 3i46 908 1454 10.907 9763 9078073 907 6384 9074695 907 3oo7 907 1 320 10.906 9633 9067947 9066261 9064577 906 2893 906 1209 092 4389 092 61 16 092 7843 0929569 _ . , 7_ 093 1 295 o 0097J9.093 3o2o -*'^-** 0934744 0936468 093 8190 09.39913 094 io34 9.094 3355 094 5075 0946795 094 85i4 095 0232 095 1950 9095 3667 095 5383 095 7099 0958814 0960528 096 2242 9096 3955 0965667 0967379 0969090 0970800 097 25lO 1 0.905 952619097 42 1 9 9057844 905 6i63 9o5 4482 905 2802 905 1123 10.9049444 9047766 9046088 9044411 9042735 904 1060 10.903 9385 097 5928 0977636 097 9343 098 1049 098 2755 9.098 4460 0986165 0987869 0989572 099 1 275 0992977 9.099 4678 fee. eo-tanf. 174.0 174.0 173.9 173.8 173.7 173.7 173.7 173.5 173.5 173.4 173.4 173.3 173.2 173.2 173.1 173.0 172.9 172.9 172.9 172.7 172.7 172.6 172.6 172.5 172-4 172.4 172.2 172.3 172.1 172. 1 172.0 172.0 171.0 171.8 171.8 171.7 171.6 171.6 171.5 171.4 171 4 171.3 171.2 171.2 171. 1 171.0 171.0 170.9 170.0 170.8 170.7 170.6 170.6 170.5 170.5 170.4 170.3 170.3 170.2 170.1 e<»-tang. 10.9108562 9106822 9105082 9103343 910 i6o5 9099868 10.9098131 909 6394 MC. t 90946 9092924 909 noo 908 9456 10.908 7723 908 59 90842 908 252 9080798 9079069 10.907 7340 907 56i 1 907 3884 907 2 1 57 907 043 1 9068705 10.9066980 906 5256 9063532 906 1810 906 0087 905 8366 10.905 6645 905 4925 905 32o5 905 i486 9049768 904 8o5o 10.904 6333 9044617 904 2901 904 1186 9039472 903 7758 10.9036045 9o3 4333 903 2621 9030910 9029200 902 7490 10.902 5781 902 4072 902 2364 9020657 901 8951 901 7245 10.901 554o 901 3835 901 2l3l 901 0428 9008725 9007023 10.900 5322 4c. 5u 35 10 20 3o 4<> 5o 36 10 20 3o 40 5o 137 10 20 3o 4o 5o 3d 10 20 3o 4<> 5o 39 10 20 3o 40 5o 40' 9.1 166977 If 5 8676 116 0174 116 1772 1 16 3369 1164966 1166362 1168157 1169762 117 1 346 117 2940 1 17 4533 9.1176125 117 7717 1 179308 1 18 0899 1 18 2489 1184079 9.1186667 118 7266 1 18 8843 1190431 119 2017 1 193603 9-1195188 1 19 6773 1 19 8357 1 19 9941 120 i524 120 3fo6 9.1204688 I30 6269 1207850 1 20 943o 121 1009 121 2588 9-121 4167 121 6744 I2f 7322 121 8898 1220474 122 2049 9 122 3624 122 6198 122 6772 122 8345 [22 9918 123 1490 9.I233061 123 4632 123 6202 123 7771 1 23 9340 1 24 0909 9- 1 24 2477 1 24 4o44 124 661 1 134 7177 1248742 i25o3o7 9.126 1872 did" 169 169-8 169-8 169-7 169.7 169.6 159.5 169.6 169.4 169 169.3 169.2 169.3 169-1 169.1 169.0 169.0 1 58.8 168.9 1 58 co-sec. 10.884 3o23 884 1424 883 9826 883 8228 883 6631 883 5o34 tang. di£l" [0.883 3438 9.1204043 i58.8 1 58.6 1 58.6 i58.5 168.5 168.4 1 58-4 i58.3 i58-2 168.2 1 58.1 1 58. 1 i58-o 167.9 167.9 1 57 167 i57-8 167.6 1576 157.5 157.5 157.4 167.4 167.3 167-3 167.2 1671 167.1 167.0 166.9 166.9 166.9 i56.8 166.7 166.7 166.6 166.6 1 56.5 166.5 9.1194291 g 1196918'°^ 1197644 1199169 1 20 0794 120 2419 co-fin. dif. I" 883 1843 883 0248 ► 882 8654 882 7060 882 5467 10.882 3876 882 2283 882 0692 881 9101 8817611 88 1 5921 10.881 4333 881 2744 881 ii57 880 9669 880 7983 880 6397 10.8804812 8803227 880 1643 880 0069 8798476 879 6894 10.8795312 8793731 879 2i5o 879 0670 8788991 8787412 10.878 5833 878 4266 878 2678 878 1 102 877 9626 8777961 10.877 6376 877 4802 8773228 877 i655 877 0082 8768610 10.8766939 8766368 876 3798 876 2229 8760660 8769091 10.8767623 876 6966 876 4389 876 2823 876 1268 874 9693 10.8748128 ■ec. 120 5666 1207288 120 8910 121 o632 121 2i53 9-121 3773 i2f 5393 lai 7012 121 863o 122 0248 122 1866 9.122 3482 122 6099 1226714 122 8339 122 9944 123 1 558 9.123 3l7i 1234784 1236396 123 8007 123 9618 124 1229 9.1242839 124 4448 1246067 1 24 7665 1249272 1260879 9.126 2486 125409! 126 6697 126 73oi 1268905 1 26 0609 9.126 2112 126 3714 126 53i6 1 26 691 7 1268618 127 0118 127 1718 127 33 1 7 1274916 1276613 1278110 1 27 9707 9.128 i3o3 128 2899 1284494 1286088 1287682 1289276 9.1290868 co-tang. 7 162.6 162.6 162.6 162.6 162.4 162.3 162.2 162.2 162.2 162. 1 162.0 162-0 161- 161. 161 -8 161.8 161-6 161.7 161.6 161-6 161.5 i6i-4 161.3 161.3 161.2 161. r 161. 1 161.1 161.0 160.9 1609 160.8 160-7 160.7 160-7 160.5 160.6 160.4 160.4 160.4 160.3 160.2 160.2 160.1 160.1 160.0 160.0 169. 169 169.8 169.7 159.7 169.6 169.6 169.6 169.4 169.4 169.3 co-tang. 10.880 6709 ■ec. d.1" co-sin. II 169.3 di£l" 880 4082 880 2456 880083 1 879 9206 8797681 10.879 6967 879 4334 8792712 879 1090 878 9468 878 7847 10.878 6227 878 4607 878 2988 878 1370 877 9762 8778134 10.8776618 8774901 877 3286 877 1 67 1 877 oo56 876 8442 10.876 6829 8766216 876 36o4 876 1993 876 0382 876 8771 10.876 7161 876 5552 876 3943 876 2335 8760738 8749121 10.874 7614 874 5909 874 43o3 874 2699 874 1096 873 9491 10.873 7888 873 6286 873 4684 873 3o83 873 1482 872 9882 10.872 8282 872 6683 87a 5o85 872 3487 872 1890 872 0293 10.871 8697 871 7101 871 65o6 8713 1 0.00373 1 4 2.8 2.8 2.8 2-7 2.8 2.8 3.8 a.7 2.8 2.8 2.8 2-8 2-8 2.7 2-8 2-8 2.8 3.8 3.8 2.8 3.8 2.8 2.8 2.8 871 33i8 3il 871 0736 10.8709133 tang. 7342 7370 7398 7426 7463 10.0037481 7609 7636 7564 7692 7620 10.0037648 7676 77o3 773 1 7769 7787 10.0037816 7843 7871 7899 7927 7965 10.00379831 ^ g 8011 • 8039 ^"° 8067 8096 8123 io.oo38i5i 8179 8207 8235 8263 8291 io.oo383i9 8347 8376 84o3 843 1 8460 I0.0038488 85i6 8544 8672 8600 8629 io.oo38657 8685 8713 8742 8770 8798 10.0038826 8865 8883 891 1 8940 8968 10.0038996 9.9962686 2668 co-sec. 2.8 2.8 2.8 2.8 2.8 3.8 2.8 3.8 2.8 2.8 2.8 2.8 2.8 2.8 2.1 a. 2.8 3.8 3.8 3.8 3.9 3.8 3.8 2.8 3.9 2.8 3.8 3.8 3.9 2.8 2.8 2.9 2.8 2.8 30' 5o 4o 3o 263o 2602 2676 20 2647 to 9-996361929' 2491 5o 2464 4o a436 3o a4o8 20 238o 10 9-9962352 28' 2324 5o 2297 4o 2269 3o 2241 20 22l3 10 9.996218527' d.1" 2167 2129 2101 2073 ao46 9.9963017 1989 1961 1933 1906 1877 9.9961849 182 1793 1766 1737 1709 9.9961681 i653 1626 1697 1669 1640 9.9961612 i484 i456 1428 i4oo l37f 9.9961343 i3i6 1287 1258 I23o 1202 9.9961 174 1145 1117 1089 1060 io32 9.9961004 ■Ul. 60 4o 3o 20 10 26' 60 4o 3o 20 10 25' 60 40 3o 20 10 24' 5o 4o 3o 20 10 23' 5o 4o 3o 20 10 22' 5o 4o 3o 20 10 21' 5o 4o 3o 20 10 20' 970 82» 204 LOGARITHMIC S I N t S , TANGENTS, &C. T» 172° stn* 140' 10 ao 3o 4o 5o 41' 9 lO 20 3o 5o 42' 9. 10 ao 3o 4o 5a 43' 9, to ao 3o 4o 5o 44' 9. 10 ao 3o 4o 5o 45' 9. 10 ' 20 3o 40 5o 46' 5 10 ao 3o 4o 5o M7'5 10 ao 3o 4o 5o 48' s 10 20 3o 4o 5o 10 ao 3o 4o 5o 160' 9- laS 187a I aS 3436 12S4999 125 6562 1258124 1259685 1 26 1 246 1 26 3807 1 26 4367 1 26 5926 1 26 7485 1 26 9043 1.1270600 1 27 2 1 57 1273714 1 27 5269 1276825 1 27 838o 1.1279934 ia8 1487 1 28 3o4o 1284593 1286145 1287696 .1289247 1 29 0797 1292347 1293896 1 29 5444 1296992 .1298539 i3ooo86 i3o i633 i3o3i78 i3o4723 1 30 6268 .1307813 1 3o 9355 i3i 0898 i3f 2441 i3i 3083 i3i 5524 i3i 7064 i3i86o5 i32oi44 i32 i683 l32 3222 1 32 4759 1 32 6297 1327834 1 32 9870 1330906 1 33 244 1 i33 3975 i33 5509 1337043 133 8576 1 34 0108 i34 1640 i34 3171 1 34 4702 did" eiNiin. I !)d«4 i56.3 1 56.3 i56.2 r 56. 1 1 56. 1 i56.i i56.o 155.9 1 55.0 1 55.8 f55.7 1 55.7 1 55.7 1 55.5 1 55.6 1 55.5 155.4 1 55.3 §55.3 i55.2 i55.i 1 55. 1 1 55,0 1 55.0 154.9 1 54-8 154.8 154-7 154.7 154-7 i54.5 1 54.5 i54.5 1 54.4 1 54.3 1 54.3 1 54-3 1 54.2 1 54. 1 i54-o 1 54- 1 1 53.9 1 53.9 1 53.9 §53.7 1 53.8 §53.7 1 53.6 1 53.6 i53.5 i53.4 i53.4 i53.4 i53.3 1 53.2 i53.2 1 53. 1 1 53. 1 CO-0OC. di£ 1" 10.8748128 874 6564 8745001 874 3438 874 1876 87403 1 5 10.8738754 873 7193 873 5633 873 4"74 873 25i5 873 0957 10.87a 9400 872 7843 872 6286 8724731 8723175 872 1620 10.872 0066 8718513 871 6960 871 5407 871 3855 871 23o4 10.871 0753 870 9303 870 7653 8706104 870 4556 870 3oo8 10,870 1461 8699914 8698367 8696822 8695277 869 3732 10.869 a 1 88 8691)645 868 9102 868 7559 8686017 8684476 1 0.868 3936 86813 867 9856 8678317 867 6778 867 524 1 10.8673703 867 2166 8670630 8669094 8667559 8666035 10.866 4491 866 2957 8661424 8659892 865 8,36o 865 6829 I0.865 5298 taiif. 9. .1290868 1 29 2460 1 29 4o52 1 29 5643 1297233 1298823 .i3oo4i3 130 2002 1 303590 i3o5i78 1306765 i3o835i 1309937 i3i 1523 i3i 3io8 i3i 4693 i3i 6276 i3i 7859 1 3 1 9442 i32 1024 i32 2605 i324f86 1 32 5767 1 32 7347 i32 8926 i33o5o5 1 33 3o83 133 366 i33 5238 i33 68i5 133 8301 1339966 i34 i54i i34 3n5 1344689 1346263 .134 7835 1 34 9408 1350979 1 35 255o 1 3541 21 i35 5691 .i35 7260 1358829 1 36 0397 1 36 1965 136 3533 1 36 5099 1366665 1 36 823 1 1369796 1 37 i36i i37 3925 137 4488 1 376051 1377614 1379175 1380737 1 38 2297 138 3858 i38 54i7 diCl" ■AC. co-tang. 159.2 159.2 159.1 159.0 159.0 159.0 158.9 i58.8 1 58^ 1 58.7 158.6 1 58.6 1 58.6 158.5 158-4 1 58-4 1 58-3 158.3 1 58.2 i58.i i58.i 1 58-1 i58.o 157.9 157.0 157.8 157.8 157.7 157.7 157.6 157.5 r57.5 r57.4 157.4 157.4 i57-2 157.3 157.1 1571 157.1 1570 1 56.9 156-9 1 56.8 1 56-8 1 56.8 i56.6 r56.6 i56.6 1 56.5 i56.5 1 56-4 i56.3 i56.3 i56.3 i56.i 1 56.2 i56.o i56.i 155.9 00-uuig. 10.8709132 870 7540 870 5o48 870 4357 870 2767 870 1177 10.8699587 8697998 8696410 869 4822 869 3235 869 1649 io.8f>9 oo()3 868 8477 868 6892 868 53o8 8(>8 3724 8682141 10.868 o558 867 8976 867 7395 8675814 867 4233 867 2653 10.867 »074 866 9495 8667917 8666339 866 4763 866 3i85 10.866 1609 8660034 865 8459 865 6885 865 5311 865 3737 fo.865 2 1 65 865 0592 8649021 864 745o 864 5879 864 4309 10.864 2740 864 1171 8639603 863 8o35 863 6467 863 4901 I0.863 3335 863 1769 863 0204 862 8639 862 7075 8625513 10.862 3949 862 2386 862 0825 861 9263 861 77o3 861 6142 io.86i 4583 ■ec 10.0038996 9025 9o53 9081 9110 91 38 10.0039166 9'95 9223 9253 9280 9309 10.0039337 936() 9394 9423 9451 9480 10.0039508 9537 9565 9594 9622 9651 io.oo39(>79 9708 9737 9765 9794 9823 10.0039851 9880 9909 99^7 9966 10.0039995 io.oo4oo23 oo52 0081 d.l"i 00-stn. 11 2.8 11 2.8 1.8 :i 1 1 dit 1" tan». co-sec. 2 2 a. 2 2 a 2.9 2-8 2. 2 2.9 2.8 2.9 2.8 2.9 2.8 2. 2 2.9 2.9 2.8 2.9 2. 2. 2.9 2. 2 a. 9 2. 2 2.9 2. a a.9 2.9 2.9 2.0 2.8 2.9 2.9 2.9 2.9 2 2 2.9 2.9 2.9 2.9 2.9 29 2-9 2.9 2.9 9.9961004 :i 0975 0947 0919 0890 0863 9.9960834 o8o5 0777 0748 0720 0691 9.9960663 o634 0606 o577 0549 o52o 9.9960493 <;463 0435 o4o6 0378 0349 9.9960331 0293 0263 0235 02(»6 0177 9.9960149 0120 0091 oo63 oo34 9.9960005 9.9959977 9948 99'9 9891 9863 9833 9.9959804 9775 9747 9718 9689 9660 9.995963 9603 9574 9545 9516 9487 9.9959458 9429 9400 9371 9343 2 93 1 3 ■99.9959284 1.8 \1 d.l"i ■in. 20 5o 4o 3o 20 10 W 5o 4o 3o ao 10 18 5f 4o 3o 20 10 17' 5o 40 3o 20 10 16' 5o 4o 3c^ 20 10 15' 5o 40 3o 20 10 14 5o 4o 3o 30 10 13' 5o 4o 3o 20 10 12 5o 4o 3o 20 10 11 5o 4o 3o 20 10 10' fT« 820 LOGARITHMIC SINES, TANGENTS, &>C. 205 fo 172° ■in. 50' 10 ao 3o 40 5o 51' 10 20 3o 40 5o 52 10 20 3o 40 5o 53' 10 20 3o 40 5o 54' 10 20 3o 4o 5o 60 10 20 3o 4o 5o 56 10 20 3o 4o 5o 57' 10 20 3o 4o 5o 58' 10 20 3o 4o 5o .59' 10 30 3o 4o 5o 60' dif.l" 34 4702 346232 34 7762 34 9291 350819 35 2347 35 3875 35 5402 35 6928 35 8454 35 9979 36 i5o4 36 3028 36 4551 366074 36 7597 369119 37 o64o 37 2161 373682 37 5201 376721 37 8239 37 9757 381275 38 2792 38 4309 38 5825 38 7340 38 8855 39 0370 39 i883 39 3397 394910 396422 39 7934 399445 40 0955 4o 2465 4o 3975 40 5484 40 6993 4o85oi 4i 0008 4i i5i5 4i 3o2i 4i 4527 4i 6o32 41 7537 4i 9041 42 o545 42 2048 42 355 1 42 5o53 42 6555 42 8o56 42 9556 43 io56 43 2556 43 4o55 43 5553 co-ain. co-sec. 53.0 53.0 52 52 52.8 52.8 52.7 52.6 52.61 52.5 52.5 52.4 52.3 52.3 5a.3 52.2 5a. I 52.1 52.1 51.9 52.0 5i.8 5i.8 5i.8 51.7 51.7 5i.6 5i.5 5i.5 5i.5 5i.3 51.4 5i.3 5l.2 5l.2 5i.i 5i.o 5 1.0 5i.o 1*50.9 50.9 5o.8 50.7 50.7 5o.6 5o.6 5o.5 5o.5 5o.4 5o.4 5o.3 5o.3 5o.2 5o.2 5o.i 5o.o 5o.o 5o.o 49.9 49.8 I0.865 865 865 865 864 864 10.864 864 864 864 864 863 1 0.863 863 863 863 863 862 10.86a 862 862 862 862 862 io.86r 861 861 861 861 861 10.860 860 860 860 860 860 10.860 859 859 859 859 859 10.859 858 858 858 858 858 10.858 858 857 857 857 857 10.857 857 857 856 856 856 10.856 5298 3768 2238 tang. dif 1" dif.r 0709 9181 7653 6125 4598 3072 i546 0021 8496 6972 5449 3926 24o3 0881 9360 7839 63i8 4799 3279 1761 0243 8725 7208 5691 4175 2660 1145 9630 8117 66o3 5090 3578 2066 o555 9045 7535 6025 45i6 3oo7 1499 9992 8485 6979 5473 3968 2463 0959 9455 7952 6449 4947 3445 1944 0444 8944 7444 5945 4447 ■ec. 38 5417 38 6976 38 8535 39 0093 39 i65i 39 3208 39 4764 396330 39 7875 39 943o 4ooo85 40 2538 4o 4092 40 5644 407196 408748 4i 0299 4i i85o 4i 3400 4 1 4949 4i 6498 4 1 8047 41 9595 42 1 142 42 2689 42 4235 425781 42 7326 428871 43o4i5 43 1959 43 35o3 43 5o45 43 6587 438138 439669 44 1210 44 2750 44 4289 44 5828 44 7367 448904 45 0442 45 1979 45 35i5 45 5o5i 45 6586 458121 45 9655 46 1 189 46 2722 46 4255 46 5787 467318 46 885o 47o38o 47 19^0 47 3440 474969 47 6497 478025 co-tang. sec. d.l' 155.9 155.0 155.8 155.8 155.7 i55.6 i55.6 i'j5.5 i55.5 i55.5 i55.3 1 55.4 i55.2 1 55.2 i55.2 i55.i i55.i i55.o 154.9 r54.9 154-9 i54.8 154.7 154-7 1 54.6 i54.6 1 54.5 1 54-5 1544 154.4 154-3 154-3 1 54-2 154.1 i54-i i54i 1 54-0 153.9 153.9 153.9 153.7 i53.8 i53.7 1 53.6 1 53.6 i'53.5 i53.5 153.4 i53.4 153.3 i53.3 i53.2 i53.i 1 53. 2 1 53.0 1 53.0 1 53.0 l52. l52. i52.8 10.861 4583 861 3o24 861 i465 8609907 860 8349 86067 10.860 5236 86o368o 860 2125 860 o57d 8599015 859 7462 10.859 ^ 8594556 859 2804 850 1252 858 9701 858 8i5o 10.858 6600 858 5o5i 858 35o2 858 1953 858 o4o5 857 8858 10.8577311 857 5765 8574219 857 2674 857 1 1 2' 856 958 io.856 8o4 856 64 co-tang. 856 49* 856 34 1 3 856 1872 856 o33 I0.855 8790 8557250 8555711 8554172 855 2633 8551096 10.854 9558 854 8021 854 6485 854 4949 854 34i4 854 1879 10.854 o345 853 881 1 853 7278 853 5745 853 4213 853 268a 10.853 II 5o 852 9620 8528090 852 6560 852 5o3i 852 35o3 I0.852 1975 diGl' 10.0040716 0744 0773 0802 o83i 0860 10.0040889 0919 0948 0977 1006 io35 10.004 1064 1093 1122 ii5i 1180 1209 io.oo4i 239 1268 1297 i326 i355 1 384 io.oo4i4i4 1443 1472 i5oi i53i i56o 10.004 1 589 1618 1648 1677 1706 1736 10.0041765 1794 1824 i853 i883 1912 10.0041941 1971 2000 2o3o 2059 2088 10.00421 18 2147 2177 2206 2236 2265 10.0042295 2324 2354 2384 24i3 2443 10.0042472 co-sin. 2.8 2.9 2.9 2.9 2.9 ^•9 3.0 2.9 2.9 2.9 2.9 2 2.9 2.9 2.9 2.9 ^•9 3.0 2.9 2.9 2.9 2.9 29 3.0 2.9 2.9 ^■9 3.0 2.9 2.9 3.0 2.9 3.0 2-9 2.9 3-0 ^•9 3o 2.9 ^•9 3.0 2.9 3.0 2.9 3.0 3.0 2.9 3.0 29 3.0 9.9959284 9256 9227 9198 9169 9140 9.99591 1 1 9081 9052 ?023 994 8965 9I9.9958936 890- 8878 8849 8820 879' 9.9958761 8732 8703 8674 8645 8616 9-9958586 8557 8528 8499 8469 844o 9.99584 1 1 8383 8352 8323 8294 8264 9.9958235 8206 8176 8147 8117 8088 9.9958059 8029 8oot 7970 7941 7913 9.9957883 7853 tang. co^ec. 7823 7794 7764 7735 2.9 9-9957705 3 o 7676 ^•° 7646 7616 7587 2 Q 7557 ^9.9957528 3.0 29 3.0 10' 5o 4o 3o 20 10 9' 5o 4o 3o 20 10 8' 5o 40 3o 20 10 7' 5o 40 3o JO 10 6' 5o 4o 3o 20 10 5' 5o 40 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 40 3o 20 10 2' 5o 40 3o 20 10 1' 5o 4o 3o 20 10 0' d.l' sin. 970 82° wm LOGABITHMIC SINES, TANGENTS, &C. ■11. MtV 9.143 5553 143 705 1 I43B548 i44'oo45 i44 i54i i44 3o37 91444532 1446027 1447521 144901 5 '^9-4 i45o5o8'j9-^ 145 2TO1 *l9-> 91453493 •'^9-^ i45 4985 1456476 1 45 7966 i45 9456 1460946 91462435 1 46 3923 i46 54ii 1466800 146 838 1469872 9.147 1 358 147 28431 ;^2'? i47 43a8'1°-^ i47 58i2 147 72^ 147 8779 9.1480262 i48 1744 i48 3226 1484707 1486188 1487668 9 1 48 9148 1490627 149 2106 149 3584 l^5o6i 1496539 9^1498015 1499491 1500967 1 502442 1 503916 i5o 5I90 a'l9.i5o6864 — i5o8337 1509809 i5i 1281 i5i 2753 i5i 4224 9.i5i 5694 i5i 7164 i5i 8634 1 5a oio3 i52 1 571 i52 3o39 l0'J9.i52 45o7 71 10 ao 3o 4o 5o W 10 :io 3o 40 5o co-tin* 1 49.8 149.7 149-7 149.6 149.6 1 49.5 149.5 1 49-4 149.4 149.2 1 49- 1 149.0 1490 149.0 1489 148.8 !48.8 148.8 148.7 148.6 1 48.6 148.5 148.4 148.4 148.3 148.3 1 48. 2 148.2 i48.i 148.1 i48.o t48.o 147-9 147.9 i47.8 147.7 147.8 147.6 147.6 147.6 1 47-5 147-4 147.4 147.4 1 47-3 147.2 147-2 r47.a 147-1 i47 o i47-o 147-0 146.9 146.8 i46 8 146.8 «. I0.856 4447 856 2949 856 1452 855 9955 855 8459 855 6963 10.85554689 855 3973 855 2470 8550985 854 9492 854 7999 io.85465o7 854 5oi5 854 3524 854 ao34 854 o544 853 94aiig> i5a.7 i52.6 1 52 .6 1 52.6 1 5a. 4 i5a.5 1 52 .4 i5a.3 1 5a. 3 i5a.2 l52.2 i5a.i i5a.i 1 52. 1 1 51.9 i5a.o i5i.8 i5i.9 i5i.7 i5i.8 i5i.6 i5i.7 i5i.5 i5i.5 i5i.5 i5i.4 i5i.4 i5i.3 i5i.3 l5l.2 l5l.2 i5i.i f5i.o i5i.i 1 50.9 150.9 1 50.9 i5o.8 i5o.8 i5o,7 i5o.6 i5o.7 i5o.5 i5o.5 i5o.5 1 50.4 1 50.41 i5o.3 l5o.2 i5o.a i5o.a i5o.i i5o.i i5o.o i5o.o 149.9 149.8 149.8 149.8 ITlo 152.8 '^^fSa 1975 852 o447 85 1 8020 85 1 7^94 85i5868 85 1 434a io.85i 2818 85 1 i2o3 85oo' 85082 85o 6723 85o 5201 io.85o3679 85o 2 1 58 85oo637 8499116 849 7597 849 6077 10.8494559 849 3o4o 8491523 8490005 848 8489 848 6972 10.848 545- 848 3942 848 2427 848 001 3 847 9 599 10.0042472 25oa a53i 256i 2591 2620 io.oo4a65o 2680 2709 2739 2760 2798 10.0042828 2858 2888 2917 2947 2977 1 0.0043007 3o36 3o66 3096 3ia6 3i56 io.oo43i85 32 1 5 3245 3275 33o5 d.l" 3.0 a. 9 3.0 3.0 847 7886 3335 10.8476373 10,0043355 847 486i 3395 847 3349 3424 847 1838 3454 847 o328 3484 8468817 35i4 10.846 73o8 10.0043544 846 5799 3574 8454290 35o4 846 2782 3634 846 1 274 dif.l« 845 9767 10.845826 8456754 845 5249 845 3744 845 2239 845 0735 10.8449231 844 7728 844 6a 36 844 4724 844 3222 844 172 1 10.844 0220 843 8720 843 7220 843 57a I 8434aa3 843 2725 10.843 1227 tMf. 3664 3694 10.0043724 3754 3784 38i4 3844 3875 io.oo436o5 3935 3965 3995 4o25 4o55 io.oo44o85 4ii6 4i46 4176 4206 4235 10.0044266 eo-t#ic. a.9 3.0 3.0 a.9 3.0 3.0 2.9 3.0 3.0 3.0 3.0 3.0 3.0 3.0 3.0 3.0 3.0 2.9 3.0 3.0 3.0 3.0 3.0 3.0 3.0 a.9 3.0 3.0 3.0 3.0 3.0 3.0 3.0 T.O 3.0 3.0 3.0 3.0 3.0 3.0 3.1 3.0 3.0 3.0 3.0 3.0 3.0 3o 3.1 3.0 3.0 3.0 3.0 3.0 co-«in. 9-9957528 7498 7469 7439 7409 738o 9.9957350 7320 7201 7261 723i 7202 9.9957172 7142 7112 7083 7053 7023 9.9956993 6964 6934 6904 6874 6844 9.9956815 6785 6755 6725 60' 5o 40 3o 20 10 59' 5o 40 3o 20 10 58' 5o 4o 3o ao 10 57' 5o 4o 3o ao >5 35 9-9956635 66o5 10 56 5o 4o 3o ao 10 o.'> 5o 4o 3ol 5576 6546 65i6 20 6485 10 9-9955455 .54' 6426 5o 5396 4o 5365 3o 6336 20 63o5 10 9.9956276 53' 6245 5o 6216 4o 6186 3o 61 56 20 6125 10 9.9956095 .52 5o55 5o 6o35 4o 6oo5 3o 5975 20 5945 10 9.9955915 51' 5884 5o 5854 4c^ 5824 3o 5794 20 5764 10 9.9955734 50' d.l" •in. teo 8V LOGARITHMIC SINES, TANGENTS, 4o 5o 2i'9. 10 20 3o 4o my 9 10 20 4o 5o 30' 9. 61 i63o 61 3070 61 45 1 3 61 5o49 61 7384 61 8820 62 0254 62 1689 63 3 1 23 624556 62 S989 63 742 1 62 8853 63 0284 63 1715 i63 3i46 634575 63 6oo5 63 7434 63 8862 640290 64 1718 64 3i45 64 4572 645998 64 7423 648848 65 0273 65 1697 65 3i2i 65 4544 65 5967 65 7389 i65 88ti 660232 66 i653 66 3o74 664493 665913 667332 668750 670168 67 1 586 67 3oo3 67 4419 67 5836 677251 678666 680081 68 1495 68 2909 68 4322 68 5735 687148 68 8559I 689971 69 1 382 692792 [69 4202 695612 697021 dif.!" co-sm. 43.7 43.7 43.6 43.5 43.6 43.4 43.5 43.4 43.3 43.3 43.2 43.2 43.1 43} 33' 10 20 3c 4c 5. 34' 1(1 20 3o 4o 5o 35' 10 30 3o 40 5o 3o 10 20 3o 4o 5o 37 10 20 3o 4( 5o ;38 10 20 3o 40 5o 3> 10 20 3o 4o 5o 40' nn. 697021 69 8429 699838 70 1 245 70 2662 70 4069 70 5465 706871 70 8277 709682 71 1086 71 2490 71 3893 71 5296 71 6699 71 8101 71 9603 720904 72 23o5 72 3705 72 5io5 72 65o4 72 7903 72 9301 730699 73 2097 73 3494 734800 736286 737682 739077 74 0472 741866 743260 744653 746046 74 7439 74 883 1 760222 76 i6i3 75 3oo4 75 4394 75 5784 757173 75 8662 769960 76 i338 76 2726 764112 76 6499 76 6885 768270 769666 77 io4o 77 2426 773808 77 6192 77 6676 77 7957 77 9339 780721 dif.l" co-sm. oo-«ec 40.8 40.9 40.7 40.7 40.7 40.6 40.6 40.6 40.5 40.4 40.4 40.3 40.3 40.3 40.2 40.2 4o.i 4o.i 4o.o 4o.o 39.9 39.0 39.8 39.8 39.8 39.7 39.6 39.6 39.6 39.5 39.5 39.4 39.4 39.3 39.3 39.3 39.2 39 1 39.1 39.1 39.0 39.0 38.9 38-9 38.8 38.8 38.7 38.7. 38.7 38.6 38 38-6 38.4 38.5 38.3 38.4 38.3 38.2 38.2 38.2 tang. dif.l" io.83o 2979 83o 1671 83ooi62 829 8766 829 7348 829 6941 10.829 4535 8293129 829 1723 8290318 8288914 828 7610 10.8286107 828 4704 828 33oi 828 1899 828 0497 827 9096 10.827 7696 827 6295 827 4895 827 3496 827 2097 8270699 10.8269301 826 7903 826 65o6 8266110 8263714 826 23 1 8 10.826 0923 826 9628 8268134 826 6740 826 6347 826 3954 10.826 2661 826 1169 8249778 824 8387 824 6996 8246606 10.8244216 824 2827 824 1438 824 0060 823 8662 823 7276 •10.823 5888 823 4601 8233116 823 1730 823 o344 822 8960 10.822 7676 8226192 822 4808 822 3426 822 2043 8220661 10.821 927^9. Bee. 744988 74 6428 747868 74 9307 76 0746 76 2184 753622 76 6069 766496 76 7933 75 9369 76 o8o4 76 2239 76 3674 766108 76 6542 76 7976 76 9408 770840 77 2272 77 37o3 776134 77 6666 777995 77 9426 78 0864 78 2283 783711 786139 786666 787993 78 9420 79 0846 79 2271 793697 796121 79 6646 797969 79 9^93 800816 80 2238 8o366o 80 6082 80 66o3 80 7924 80 9344 81 0764 81 2i83 81 36o2 81 5o2i 81 6439 817866 81 9273 82 0690 82 2106 823622 82 4938 82 6363 82 7767 829181 83 0696 diCl" co-tang 44.0 44.0 43.9 43.9 43.8 43.8 43.7 43.7 43.7 43.6 43.5 43.5 43.5 43.4 43.4 43.3 43.3 43.2 43.2 43.1 43.1 43.1 43.0 43.0 42.9 42.9 42.8 42.8 42.7 42.7 42.7 42.6 42.5 42.6 4U 42.6 42.3 42.4 42.3 42.2 42.2 42.2 42.1 42.1 42.0 42.0 4.. co-tang. ■ec. di£l" 10.826 6012 826 3572 826 2l32 8260693 824 9264 8247816 10.824 6378 824 4941 824 35o4 824 2067 824o63i 8239196 10.823 7761 823 63261 823 4892 823 3458 823 2026 823 0692 10.822 9160 822 7728 822 6297 8224866 822 3436 822 2006 10.822 0676 821 9146 821 7717 821 6289 821 4861 821 3434 10.821 2007 821 o58o 8209164 820 7729 820 63o3 820 4879 10.820 3454 820 2o3i 8200607 8199184 8197762 8196340 10.8194918 8193497 819 2076 8190666 818 9236 8187817 10.818 6398 818 4979 818 366i 8182144 8180727 817 9310 10.817 7894 8176478 8176062 8173647 817 2233 8I708I9 10.8169405 taug. 10.0047967 8062 8093 8126 io.oo48i66 8188 8219 8261 8283 83i4 io.oo48346 8377 8409 8441 8472 8604 io.oo48536 8667 lei? 8662 8694 10.0048726 8767 8789 8821 8863 8884 10.0048916 8948 8980 9012 9043 9076 10.0049107 9139 9171 9203 9234 9266 10.0049298 9330 9362 9394 9426 9468 10.0049490 9622 9654 9686 9618 9660 10.0049682 9714 9746 9778 9810 9842 10.0049874 d.1" 3.2 3.1 3.2 3.1 3.2 3.1 3.2 3.1 3.2 3.2 3.1 3.2 3.1 3.2 3.2 3.1 3.2 3.2 3 3 3 3 3 3.2 3.1 3.2 3.2 3.2 3.1 3.2 3.2 3.2 3.2 3.1 3.2 3.2 3.2 3.2 3.2 3.1 3.3 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 3.2 e»4tn. co-sec d.l" 9.9962033 2001 1970 1938 1907 1876 9.9961844 1812 1781 1749 1717 1686 9.9961664 1623 16 1659 1628 1496 9.9961464 1433 i4oi I 1 33 i3o6 9.9961274 1243 I21I 1 179 1 147 II16 9.9961084 1062 1020 0988 0967 0926 9.9960893 0861 0829 0797 0766 0734 9.9960702 0670 o638 0606 0674 0642 9.9960610 0478 o446 o4i4 o382 o35o 9.9960318 0286 0264 0222 0190 01 58 9.9960126 30' 5o 40 3o 20 10 29 60 40 3o 20 10 28' 60 4o 3o 20 10 27' 5o 40 3o 20 10 26 5o 4o 3o 20 10 25' 5o 4o 3o 20 10 24' 5o 4o 3o 20 10 23' 60 4o 3o 20 10 22' 5o 4o 3o 20 10 21' 60 4o 3o 20 10 20' ■in. 98° 81« 27 m 210 LOGAHITHMIC SINE*, TANGENTS, &C. 8® 1710 10 90 3o 4o 5o 41 10 90 3o 4o ■5o 142 10 ao 3o 4o 5a 143' 10 30 ■«jO 4o 5o 44' 10 20 3o 4o 5o 45 10 20 3o 4o 5o 10 3o 4o *JPM 10 30 3o 4o 5o 48' 10 »o ■ifi< 9.178 0731 1782103 178 3483 1784863 178G243 i'78 '7^2 9. 1 7» 9001 1790^79 179 '757 17q3i35 I7945I3 1795888 9-1797365 1798640 }8o 0016 1801390 180 3765 180 4 1 39 9.1805612 180688S 1808258 1809630 181 looa 181 3373 9-181 3744 181 5ii4 181 6484 181 7854 181 9333 182 0693 9.183 1960 18a 3338 1834695 182 6oti2 182 7428 183 8704 46l9*i83oi6o i83 1525 1 83 38^1 1 83 4a ^4 i83 56i8 i836q8i i7'|9'i83 8344 1 83 9706 1841068 184 a43o 1 84 3791 i845i53 9.1 84 65 12 184787a 1 84 9333 i85o59i i85 1949 i85 33o7 4919.185 4665 i856o32 1 85 7379 i85 8735 1860091 186 1447 91863802 Ml' 3o 4o 5o 10 30 3o 4o 150 c(Hiin. i38.i 38.1 38.0 37.9 37-9 37.8 37.8 37.8 37.7 37.6 37.7 37.5 37.6 37.4 37.5 37.4 37.3 37.3 37,3 37.3 37.1 37.1 37.0 37.0 37.0 36-9 36.9 36.3 36.8 36.7 36-7 36.6 36.6 36.6 36.5 'Jo .4 36-4 36.3 36.3 36.3 36.3 36.3 36.1 36.1 36.0 36.0 36.0 35.9 35.8 35.8 35.8 35.7 35.7 35.6 35.6 35.6 35.5 dif.l" 90 M)6« 34 liol 10.821 92709. Bai 7898 831 65i7 821 5i37 831 3757 831 3378 f 0.83 1 0999I9 830 963 1 530 8a43 8306665 830 5488 830 4i I a 10^30 a735|9. 830 i36o| 819098 8f9r8oi 8197235 &195861 1018194488 8193115 819 174a 8190370 8188098 818 7027 10.818 6a56 818 4886 8i8 35i6 818 3i46 818 0777 8170408 10J178040 8176673 817 53o5 8i73o38 817 3573 817 1206 10.8169840 8168475 8167110 816 5746 8164382 816 3010 10.816 i65e 8160 8i5 8157570 8156209 8i54848 Jo.8i5 3488 8i5 3i28 8150768 8149409 8i48o5i 8i466o3 10.8145335 8143978 8l4 303l 8i4 1365 813900 81 3 855 io.8i3 7198 tang. ■ec. 83 0595 83 3008 833431 83 4833 83 6245 837657 839068 840478 841888 843298 844707 8461 16 84 7535 84 8o33 85o34o 85 1747 '8S3i54 85 4560 855066 857371 858776 86or8i 86 1 585 862988 864J92 865794 867197 186 8599 '870000 87 i4oi »7 2802 87 4ao3 87560a 877001 878400 879798 881196 88 2594 883991 88 5388 886784 888180 889575 890970 892365 89 3759 895153 89 6546 899331 900734 90 aii5 90 35o6 904807 906387 907677 909067 91 o456 91 1845 91 3a33 91 463 1 eo-tang. MTA" 41.3 4i3 41.3 4l'3 4i.a 4i-i 4i.o 4i.o 4(.o 40.9 40.9 40.9 40.8 40.7 40.7 40.7 40.6 4o.6 40.5 4o.5 40.5 4cs4 40.3 40.4 4o.a 4ov3 4o.3 40.1 4o.f 40.1 40.0 4o.o 399 399 398 398 398 397 39.7 39.6 396 39.5 39.5 39.5 39.4 39.4 39.3 39.3 39.9 39.3 39.1 39 1 39.1 39.0 39.0 39.0 38.9 38-9 38.8 38.8 dif.r' eo-taug.* 10.8 8 8 8 69405 67992 66579 6 5167 6 3755 6 3343 60933 50533 58ii3 56702 5 5393 5 3884 52475 5 i«67 4q6 48a63 46846 4 544© 4 4o34 4 2639 4 1324 39819 3 84n 3 7012 3 56o8 34306 3 a8o3 3 i4oi 3oooo 38590 27196 25796 34396 23099 3 1600 2 0203 r88o4 I 7406 1 6009 i46i3 I 3216 1 1820 1 0435 09030 07635 06241 4847 o3454 02061 00669 809 9276 809 7885 809 6494 8095103 10.8093713 809 3323 8090933 808 9544 8088155 806 6767 10.808 5379 8 8 10.8 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 8 8 8 8 i«k8 8 ft 8 8 8 lo.B 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 tang. •ec. d.1' 104)049874 9906 9938 10.0049971 ioxx)5oo5©454 ©486 o5i8 o55i o583 o6i5 io.oo5o648 0680 0713 0745 ©777 0809 iaoo5o842 0874 0907 ©939 ©971 ioo4 iox)o5io36 1069 1101 11 34 1166 1264 1296 1329 1 362 I 3.94 io.oo5i427 1459 1492 i525 i557 1590 io.oo5i623 i655 1688 1721 1753 1786 io.oo5i8i9 co-aee. 3.3 3.2 3.31 3.3 3.3 3.3 3.3 3.2 3.3 3.2 3.2 3.2 3.2 3.31 3.2 3.3 3.2 3.3 3.2 3.3 3.3; 3.2 3.2 3.3 3.3 3.2 3.3 3.3 3.3 3.3 3.3 3.3 3.3 3.2 3.3 3.3 3.3 33 3.3 3.3 3.3 3.3 33 3.2 3.3 3.3 3.3 3.3 3.2 3.3 3.3 32 3.3 33 32 33 3.3 32 3.3 3.3 d.l" co-am. 9.9950126 0094 0062 9.9950029 9.9949997 9965 9.9949933 ^ 69 9836 9804 9772 9.9949740 9708 9675 9643 9611 9579 9.9949546 9514 948 9449 9417 9385 9.9949352 9320 9088 9255 9223 9'? 9.99491 58 9126 9093 906 ^9948964 8931 8899 8866 8834 8801 9.9948769 8736 8704 8671 8638 8606 0.9948573 8541 85c)8 8475 8443 84io 9.9948377 8345 83i2 8279 8247 8214 9.994818 1 ■m. 20' 5o 40 3o 20 10 19' 5o 4o 3o 30 10 18' 5o 40 3o 20 10 17 5o 40 3o 30 10 16' 5o 40 3o 30 10 1.5' 5o 4o 3o 30 10 14' 5o 40 3o 20 10 13 5o 4o 3o 20 10 12' 5o 4o 3o 20 10 11' 5o 4o 3o 20 10 10' 98» 8I0 LOGARITHMIC SINES, TANGENTS, &C. 211 go 50' 10 20 3o 4o 5o 51' 10 20 3o 4o 5o 52' 10 20 3o 40 5o 53' 10 20 3o 40 5o A 10 20 3o 4o 5o o5' 10 20 3o 4o 5o •j6' 10 30 3o 40 5o .57' 10 30 3o 4o So ■>8 10 90 3o 4o 5o 5l)' 10 20 3o 40 5o 6D' mo Bin. 86 2802 86 4^57 86 5511 86 6865 868218 869571 87 0923 87 2275 87 3637 87 4978 87 6329 87 7679 87 9029 88 0379 88 1728 883076 88 4425 88 5772 88 7120 888467 889813 891159 89 25o5 89 385o 89 5195 896539 89 7883 899226 900570 90 1912 903254 904596 90 5938 907378 908619 909959 9r 1299 91 2638 91 3977 9! 53i5 91 6653 91 7991 91 9328 920665 92 2001 92 3337 92 4672 926007 92 7342 93 8676 93 0010 93 1 343 93 2676 93 4009 93 5341 936672 938004 93 9334 940665 94 1 095 94 3324 di£ 1" 08° co-ain. 35.5 35.4 35.4 35.3 35.3 35.3 35.2 35.3 35.1 35.1 35x) 35.0 35.0 34.9 34.8 34.9 34.7 34-8 34-7 34-6 34.6 34.6I 34-5 34.5, 34.4 34.4 34.3 34.4 34.3 34-3 34.3 34 34.0 34.1 34-0 34o 33.9 33.9 33.8 33.8 33.8 33.7 33.7 33.6 33.6 33.5 33.5 33.5 33.4 33.4 33.3 33.3 33.3 333 33.1 33.3 33.0 33i 33.0 33.9 co-sec. 10.8 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 8 8 8 8 10.8 8 8 8 )21 diCl" tang. 273 6924 5575 4338 3880 1 533 1 0187 0884 1 07495 o6i5o o48o5 o346i 03117 00774 809 943o 8098088 10.8096746 809 54o4 8094062 809 2722 8091381 8090041 10.808 8701 808 7362 8086023 808 4685 808 3347 808 2009 10.808 0672 807 9335 8077999 8076663 807 5328 807 3993 10.807 2658 807 1 324 8069990 8068657 8067324 806 5991 10.806 4659 806 3328 806 1996 8060666 8o5 9335 8o5 8oo5 io.8o5 6676 aec. 91 4621 91 6008 91 7395 91 8781 92 0168 92 1 553 92 3930 93 4333 93 5708 93 7093 93 8475 939859 93 134l 93 2624 934006 93 5387 93 6768 93 8149 93 9539 940909 942288 943667 94 5o46 946424 947802 949179 95 o556 95 1932 953308 954684 95 6059 95 7434 95 8809 960183 961556 962929 964302 965674 967046 968418 969789 97 1160 97 253o 97 3900 97 5269 97 6638 978007 97 9375 98 0743 98 2111 983478 984844 986210 987576 988941 99o3o6 991671 99 3o35 99 4399 995763 997135 dif.l" co-tang. 38-7 38-7 38.6 38-7 38.5 38,6 38.4 38.5 38.4 38.3 38.4 38.2 38.3 38.2 38.1 38.1 38.1 38.0 38.0 37.9 37 37.9 37.8 37.8 37.7 37.7 37.6 37.6 37.6 37.5 37.5 37.5 37.4 37.3 37.3 37.3 37.3 37.3 37.3 37.1 37.1 37.0 37.0 36.9 36-9 36.9 36.8 36.8 36.8 36.7 36.6 36.6 36.6 36.5 36.5 36.5 36.4 36.4 36.3 36.3 diCl" eo-tang. 10 10 10 10 10 10 10 10 10 10 10 808 5379 8083993 808 2605 808 131 8079833 807 8447 807 7061 807 5677 807 4393 807 3908 807 1325 8070141 .806 8759 8067376 806 5994 806461 3 806 3232 8o6i85i 806 o47 1 8059091 8057712 8o5 6333 8o5 4954 8o5 3576 ,8o5 2198 8o5o82i 804 9444 8048068 804 6692 8o4 53i6 .804 3941 8o4 2566 8o4 1 191 8039817 8o3 8444 8o3 7071 .8035698 8o3 4326 8o3 2954 8o3 1 582 8o3o2ii 803 8840 .803 7470 803 6100 803 473 1 802 3363 803 1993 8030625 801 9257 8017889 801 6522 801 5i56 801 3790 801 2424 801 1059 800 9694 8008329 8006965 8oo56oi 800 4338 800 3875 tang. aec d.!" io.oo5i8i9 i85i 1884 1917 1950 1983 io.oo53oi5 2o48 2081 3Il4 3i46 2179 io.oo5a3i2 3345 2278 33ll 3344 3376 ioxx}524o9 244a 3475 35o8 3541 3574 10.0052607 2640 2673 2706 2739 3773 io.oo538o5 3838 3871 2904 3937 2970 io.oo53oo3 3o36 3070 3io3 3i36 3169 I0.00532O2 3235 3268 33o2 3335 3368 io,oo534oi 3435 3468 35oi 3534 3568 io.oo536oi 3634 3667 3701 3734 3767 io.oo538oi 3.3 3.3 33 3.3 3.3 3.3 33 3.3 3.3 3.2 3,3 3.3 3.3 3.3 3.3 3.3 3.3 33 33 3.3 3.3 3.3 3.3 3.3 3.3 3.3 3.3 33 3-3 33 3-3 3.3 33 3.3 3.3 3.3 3-3 3.4 3.3 3.3 3.3 33 3.3 3.3 3.4 3-3 3.3 3.3 3-4 3-3 3.3 3.3 3.4 3.3 3.3 3.3 3.4 3.3 3.3 3.4 co-sec. d.!" co-8in. 9.9948181 8149 8116 8o83 8o5o 8018 9.9947985 7952 7019 7886 7854 7621 9.9947788 7755 7733 7689 3 7656 7624 9.99475^^ 7535 7492 7459 7426 9-9947393 7337 7294 7301 7328 9.9947195 7162 7129 7096 7063 7o3u 9.9946997 6964 6930 6897 6864 683 9.9946798 6765 6732 6698 6665 6632 9.9946599 6565 6532 6499 6466 6432 9.9946399 6366 6333 6299 6266 6233 9.9946199 sin. JO' 5o 4o 3o 30 10 9/ 5o 4o 3o 30 10 8' 5o 4o JO 30 10 7' 5o 4o 3o 20 10 6' 5o 4o 3o 30 10 a' 5o 4o 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 TO 2' 5o 40 3o 20 10 I' 5o 4o 3o 20 10 0' 8I0 ii!!ii!!i|llj[v'iBiir:ii7apii!!i"ir iU " 212 LOGAEITHMIC SINES, TANGENTS, >taiif. MtV 36.3 36.3 36.1 36.3 36.1 36.0 36.0 36.0 35.9 35.9 35.9 35.8 35.7 35.7 35.7 35.7 356 35.5 35.6 35.5 35.4 35.4 35.4 35.3 35.3 35.2 35.3 35.3 35.1 35.1 35.0 35.0 35.0 34-9 34<9 34-9 34.8 34-7 34-7 34.7 34.7 34*6 .34.6 34.5 34.5 34.4 34.4 34.4 34.3 34.3 343 34.3 34.1 34-2 34.1 34.0 34-0 34.0 33.9 33.9 dlf.l" eiMmiif. 10.800 800 800 799 799 799 10.799 799 799 790 798 798 10.798 798 798 798 798 797 10.797 797 797 797 797 797 10.797 796 796 796 796 796 10.796 796 795 795 795 795 10.795 795 795 795 794 794 10.794 794 794 794 794 793 10.793 793 793 793 793 793 10.793 792 793 793 792 79a 10.792 10 10 10 10 3875 10. l5l3 oi5o 8789 7437 6066 4706 3346 i(^ 0627 9268 0331 5io4 3837 2480 1123 0767 84i3 7o56 5701 4347 1639 0386 8933 758 1 6239 4877 3526 2175 0825 9475 8125 6776 5437 4078 3730 1383 oo36 8689 734a 5996 10 4o5o 33o5 1960 0616 9272 7938 6585 524a 3809 2557 1216 9874 8533 7193 5853 45i3 3i74 1 835 Unf. wc 10 10 10 10 10 ,ooS38oi 3834 3867 3901 3934 ■ 3968 oo54ooi 4o34 4o68 4ioi 4i35 4i68 0054303 4235 4269 43o3 4336 436o .oo544oj 4436 4470 45o3 4537 4571 ,oo546o4 4638 4671 47o5 4739 4772 oo548o6 4840 4873 4907 4941 4974 .oo55fX)8 5o43 5076 '5io9 5i4J 5 177 .oo553ii 5344 5378 53i3 5346 538o .00554 1 3 5447 548 1 55i5 5549 5583 .0055617 565i 5685 5719 5753 5786 oo5583o eo-Mc. d.!' 3.3 3.3 3.4 3.3 3.4 3.3 3.3 3.4 3.3 3.4 3.3 3.4 3.3 3.4 3.3 3.4 3.3 3.4 3.3 3.4 3.3 3.4 3.4 3.3 3.4 3.3 3.4 3.4 3.3 3.4 3.4 3.3 3.4 3.4 3.3 3.4 3.4 3.4 3.3 3.4 3.4 3.4 3.3 3.4 3.4 3.4 3.4 3.3 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.3 3.4 co-am. 41" 9.99461 6i6<) 6i33 6o32 9.9945999 596(3 5932 5899 5865 5832 9.9945798 5765 5731 5698 5664 563 1 9.9945597 5564 553o 549"' 5463 5429 9.9945396 5362 5339 5295 526 r 5228 9.9945104 5ioo 5l27 5093 5o59 5026 9.994499'> 4958 4924 4891 4857 4823 9.9944789 4756 4722 4688 4654 4620 9.9944587 4553 4519 4485 445i 4417 9-9944383 434? 43i5 4381 4347 4314 9.9944180 9960' ■in. 5o 40 3o 20 10 5!V 5( 40 3() 20 10 58' 5o 4o 3o 30 10 57' 5o 40 3o 20 10 .'Hi' 5o 40 3o 20 10 55' 5o 40 3o 20 10 54' 5o 4o 3o 20 10 .53' 5o 40 3o 20 10 52' 5o 4o 3o 20 10 51' 5o 4o 3o 30 10 50' MAO 80* LOGARITHMIC SINES, TANGENTS, &C. 213 90 170° 10' 10 20 3o 4o 5o II 10 30 3o 4o 5o 12' 10 20 3o 4o 5(> 13 10 20 3o 40 5o 14' 10 20 3o 4o 5o 15 10 20 3o 4o 5o 16 10 20 3o 4o 5o 17 10 20 3o 4o 5o 18 10 20 3o 4o 5o 19' 10 30 3o 40 5o 20' sin. 9.202 2345 202 365o 202 4954 202 6258 202 7561 202 8864 9.203 0167 203 1469 ao3 2771 2o3 4072 2o3 5373 2o3 6673 9.203 7974 203 9273 2o4 0573 3o4 1872 2043170 204 4469 9.204 5766 3o4 7064 204 836 1 3o4 9657 205 0954 2o5 2249 9.205 3545 2o5 484o 2o5 6i34 2o5 7439 205 8722 2060016 9.206 1 309 206 2602 206 3894 206 5 186 206 6477 206 7768 9.206 9059 207 0349 207 1639 207 2929 2074218 207 55o6 9.207 6795 207 8o83 207 9370 3080657 308 1944 308 323o 9.308 45i6l 208 58o2 208 7087 208 8372 208 9656 2090940 9.209 2224 209 3507 2094790 2096072 209 7354 209 8636 9.2099917 diCl" co-ain. 3o. 3o.4 3o.4 3o.3 3o.3 3o.3 30.2 3o.2 3o.i 3o.! 3o.o 3o.i 29.9 3o.o 29.9 29.8 29.9 29.7 29.8 29.7 29.6 29.7 29.5 296 29.5 29.4 29.5 29.3 29.4 29.3 29.3 29.2 29.2 29.1 29.1 29.1 29.0 29.0 29.0 28.9 28.8 28. 28. 28.7 28.7 28.7 28.6 28.6 28.6 28.5 28.5 28.4 28.4 28.4 28.3 28.3 28.2 28.2 28.3 38.1 co-sec. 5 10.797 7655 9 797 63 5o 797 5o46 797 3743 797 3439 797 1 1 36 10.79698339. 7968531 7967330 796 5928 796 4627 796 3327 10.796 2026 796 0727 795 9427 7958128 795 683o 795 553 1 10.795 4234 795 2936 795 1639 795 o34o 794 9046 7947751 10.7946455 794 5 1 60 794 3866 794 2571 794 1278 793 9984 10.793 8691 793 7398 7936106 7934814 793 3523 793 2232 10.7930941 9 7929651 792 836 1 792 7071 792 5782 792 4494 10.792 32o5 9 792 1917 792 o63o 791 9343 791 8o56 791 6770 10.791 5484 791 419^ 791 2913 791 1628 791 o344 7909060 10.7907776 7906493 7905210 790 3928 790 2646 790 1 364 10.790 oo83 Ung. 207 8 1 65 307 9504 208084a 308 2180 308 35i7 3o8 4854 308 6191 208 7527 208 8863 ?5S dif.l" sec. di£l" 20901 209 i5-^ 209 2868 .209 42o3 209 5536 2096870 2098203 209 9536 «'oo868 o 2200 o 3532 4863 06194 07524 08854 10184 1 i5i3 I 2842 I 4170 15498 16826 i8i53 1 9480 20807 2 2i33 2 3459 24784 26109 27434 28758 30082 3 i4o6 3 2729 3 4o5i 35374 36696 3 8017 3 9338 40659 4 T980 4 33oo 44619 45939 4 7258 48576 49894 5 1212 5 2529 5 3846 5 5i63 5 6479 57795 co-tang. 33.9 33.8 33.8 33.7 33.7 33.7 33.6 33.6 33.6 33.5 33.4 33.5 33.3 33.4 33.3 33.3 33.2 33.2 33.2 33.1 33.1 33.0 33.0 33.0 32.9 32.9 32.8 32.8 32.8 32.7 32.7 32.7 32.6 32.6 32.5 32.5 32.5 32.4 32.4 32.4 32.3 32.2 32.3 32.2 32 32 32 32 32.0 31.9 32.0 3i. 3i. 3i.8 3i.8 3i.7 3i.7 3i.7 3i.6 3i.6 co-tang. 10.793 i835 793 0496 791 908 791 7820 791 6483 791 5 146 10.791 3809 791 247J 791 1 1 37 7909801 7908466 7907132 10.790 5797 790 4464 79o3i3o 790 1797 790 0464 7899132 0.789 7800 789 6468 789 5 1 37 7893806 789 2476 789 1 146 10.7889816 788 8487 7887158 788 583o 788 45o2 788 3174 10.788 1847 788 o52o 787 9^93 787 7867 7876541 787 5216 10.787 3891 7872566 787 1243 7869918 786 8594 7867271 10.786 5949 786 4626 786 33o4 7861983 7860662 7859341 10.785 8020 785 6700 785 538 1 785 4o6i 785 2742 785 1424 10.7850106 784 8788 7847471 784 6x54 784 4837 7843521 10.784 3305 0vC* d.l" difcl" io.oo5583o 5854 5888 5922 5956 5990 io.oo56o25 6059 609J 6127 6161 6195 10.0056229 6263 6297 633 1 6365 6400 io.oo56434 6468 65o2 6536 6570 66o5 10.0056639 6673 6707 6742 6776 6810 io.oo56844 6870 6913 6947 6982 7016 io.oo57o5o 7o85 7119 71 54 7188 7222 10.0057257 7291 7326 7360 7394 7429 io.oo57463 74q8 7532 7567 7601 7636 10.0057670 77o5 7740 7774 7809 7843 10.0057878 tang. co-sec. 3.4 3.4 3.4 O'A 3.4 3.5 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.5 3.4 3.4 3.4 3.4 3.4 3.5 3.4 3.4 3.4 3.5 3.4 3.4 3.4 3.5 3.4 3.4 3.5 3.4 3.4 3.5 3.4 3.5 3.4 3.4 3.5 3.4 3.5 3.4 3.4 3.5 3.4 3.5 3.4 3.5 3.4 3.5 3.4 3.5 3.5 3.4 3.5 3.4 3.5 d-l' co-sm. 9.9944180 4f46 20 10 5o 4o 3o 20 10 48' 5o 40 3o 30 10 5o 40 3o 20 10 146' 5() 40 3o 20 4lI3 4078 4o44 4oio 9.9943975 49' 3941 3907 3873 3839 38o5 9.9943771 3737 3703 3669 3635 36oo 9.9943566 47' 3532 " 3498 3464 3430 3395 9.994336 3327 3293 3258 3224 3190 9.9943 1 56 3l21 3087 3o53 3oi8 2984 9.9942950 2915 3881 2846 2812 2778 9.9942743 2709 2674 3640 3606 3571 9.9942537 25o2 3468 3433 2399 2364 9.9942330 2295 3360 3336 5W 5o 4o 3o 319 3137 9.9943132 10 45' 5o 40 3o 30 10 44' 5o 4o 3o 30 10 ^3' 5o 40 3o 30 10 m' 5o 4o 3o 20 10 41' 5o 4o 3o 30 10 140' Bin. 990 8OO 214 LOGARITHMIC SINES, TANGENTS, &C. #0 1700 ■tn. 190 lo 30 3o 4o 5o 21 10 30 3o 4o 5o Id 30 40 •3 -to M 4o 5o 10 20 3o 40 5o 95' 10 20 3o 40 9.2099917 210 1198 210 2479 2103759 aioSoSo a 10 63 18 di£ i" 1 28. 1 1 28. 1 128.0 1 28.0 127.9 127.9 9.2107597 ;g 2108875'^^-° 127.9 1 27.7 127.8 127.7 1 27.7 127.6 1 27.6 1 27.5 I2>.5 127.5 127.4 127.4 127.4 127.3 127.3 127.2 127.2 127.2 211 01 54 an i43i 311 3700 211 3980 9-2 11 5263 311 6530 an 7815 311 9090 3i3o365 at a i64o 9.212 3914 ai24i88 a 1 2 546a 2136715 212 8008 2 1 2 9280 9.213 o55> 2f3 i8:?4 31 213 4366 co-«ee. taaf. 2i3 56371"^-* 2136907 '^^'^ 9.213 8176 2139446 ai407i5 3i4 19B3 ai4 3252 5o| a]4 45i9 116 9.2145787 10 ai4 7o54 20 2i4^3m 3o 2149587 4© ai5o853 5o ai5 2!r8 •27' 9.215 3384 10 31 5 4648 ao 3155913 36 3157177 4o 2i5 844i 5o 3159704 ®d' 9.3160967 10 ai6 3329 30 316 3401 3o 3164753 4o 2i66oi5 So 2167276 29^9-216 8536 10 2169797 30 217 io56 3o 2172316 4o 2173575 5o 217 4834 3(1' 9.2176092 CO-Sll). 1369 127.0 126.9 126.8 1 26.9 136.7 136.8 136.7 126.7 1266 126.6 I ^6.5 126.6 126.4 126.5 136.4 136.4 136.3 ia6.3 ia6.a 136.3 ia6.2 1 26.a 126.1 126.0 126.1 125.9 1 26.0 125.9 125 125 1 ditl" 10.7000083 789 8803 789 752 1 7896241 7894961 789 3682 10.789 24o3 780 I 1 25 788 9846 7888569 788 7291 7886014 10.788 4737 788 3461 7882185 7880910 787 035 787 836o 10.787 7086 9 7875812 787 4538 787 3265 787 1992 787 0720 10.786 o448 7868176 7866905 786 5634 786 4363 786 3093 10.786 1824 786 o554 785 9285 7858017 785 6748 7855481 10.7854213 785 2946 7851679 785 04 1 3 784 9147 784 788' 10.7846616 784 5352 784 4087 784 2823 784 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129.7 139.6 139.6 139.6 129.6 129.5 129.4 129.5 139.4 139.3 co-tang. wc. co-tang. UUCl" 10.784 23o5 10 784 0889 783 9574 783 8259 7836945 783 563 1 10.7834317 10 783 3oo4 783 1691 783 0379 7829067 782 7755 10.782 6444 10 78a5i33 78a 38a a 783 25 1 2 782 1302 78198 10.781 8583 10 781 7374 781 5966 781 4658 781 335o 781 3043 10.781 0736 10 780 943i) 7808134 7806818 78o55i3 780 4307 10.780 2oo3 10 780 1599 780 0395 7798991 7797688 779 6385 10.7795083 10 779 3781 779 2479 779 1 178 7789877 778 0576 10.7787376 10 7785976 778 4676 778 3377 778 3079 778 0780 io.777 9483 10 7778185 7776887 777 5590 777 4394 7772998 10.777 1702 10 7770406 776 91 1 1 776 7817 7766522 776 5228 10.7763935 10 taog. .0057878 7913 7947 7983 8016 8o5i .oo58o86 81 30 8i55 8190 8334 8259 .0058294 8339 8363 8398 84j3 8468 i.oo585o3 8537 8572 8607 8643 8677 .005871 1 8746 8781 8816 885i 8886 .005892 1 8956 899, 9026 9(.i6i 9095 .00591 3o 9165 9200 9335 9270 9306 .0059341 9376 9411 9446 9481 9516 .0059551 9586 9621 9656 9693 9727 .0059763 9797 9832 9867 9903 9938 .0059973 d.1' 3.5 3.4 3.5 3.4 3.5 3.5 3.4 3.5 3.5 3.4 3.5 3.5 3.5 3.4 3.5 3.5 3.5 3.4 3.5 3.5 3.5 3.5 3.5 3.4 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.4 3.5 3.5 3.5 3.5 3.5 3.6 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.5 3.6 3.5 3.5 co.«in. 9.994 9.9943122 2087 2o53 2018 984 949 914 880 845 810 776 74 706 671 637 603 567 532 498 463 428 3 9994 9.994 9994 9-994 254 219 184 149 ii4 079 35 40' 5o 40 3o 20 in 3!) 5o 4o 3( 20 10 38 5o 4o 3o 30 It) i7 So 40 3o 20 10 358 333 38986' " 5o 40 3o 20 10 o44 So 009 40 0974 3o 0939 20 0Q05 10 9.9940870 W o83S So 0800 4o 0765 3o 0730 20 0694 10 9.9940659 33' 0624 0589 o554 o5i9 o484 9.9940449 o4i4 3.5 3.5 3.5 3.6 3.5 3.5 I co-tec. d.l" o379 o344 o3c8 0373 9.9940238 0303 0168 01 33 0097 0063 9.9940037 ■in. So 4o 3o 20 10 32' So 4o 3o 20 10 31' So 4o 3o 20 10 30 »»*» 8O0 LOGARITHMIC SINES, TANGENTS, &C. 215 »« ITOo 30» 10 30 3o 40 So 31' 10 30 3o 4o So 32 10 20 3(i 4o So :W' 10 30 3o 4<> So M 10 20 3o 40 5<) :J5' 10 im. diil" 30 3o 4o So 36 10 30 3o 4o So 37' 10 20 3o 40 So 38 10 30 3o 40 So 10 20 3o 4o So 40' 9.3176093 317 735o 3178608 3179865 3l3 1132 3i8 2379 218 3635 218 4891 3186146 218 74oi 318 8656 318 9910 9.319 it64 319 2417 2193671 3194923 3196176 3197428 9.2198680 2199931 220 1 182 aao 2433 220 3683 3204932 9.2206182 220 743 1 2 30 8680 320 9928 331 1176 331 2424 9.331 3671 321 4918 331 6164 321 7410 221 8656 221 9902 9.222 ll47 332 2391 233 3636 333 4880 3336123 332 7366 9-223 8609 323 98S2 233 1094 323 2336 233 3577 3234818 9.2236059 223 7299 223 8530 223 9778 224 IOI8 224 23S6 9.224 3495 224 4733 324 5971 224 7208 234 8445 2249682 9.2250918 co-fin. co-sec. 25.8 25,8 25.7 35.7 35.7 25.6 25.6 25.5 2S.5 25.5 25.4 25.4 35.3 25.4 35. 2 35.3 35.3 25-3 25.1 25-1 35-0 35.1 24.9 aS-o 34-9 34.9 24.8 24.8 24.8 24.7 24.7 24.6 24-6 34.6 24.6 24.5 34.4 24-5 34-4 34.3 343 24.3 24.3 34.3 24.2 24- 1 34-1 34-1 34.0 24-0 23.9 24.0 23.8 23.9 23.8 23.8 23.7 23.7 33.7 33.6 XO.783 3908 782 265o 783 139 )i3 ung. 3 7820135 781 8878 781 7621 10.781 6365 781 5109 781 3854 781 3599 781 i344 781 0090 10.780 8836 780 7583 780 6329 780 5o77 780 3824 780 3573 10.780 1 320 7800069 7798818 779 7568 7796317 779 5o68 10,7793818 779 2S69 779 1 320 779 0072 778 8824 778 7576 10.778 6329 778 5o83 778 3836 778 3590 778 1 344 7780098 10.777 8853 777 7609 777 6364 777 5 1 20 777 3877 777 3634 10.777 1391 7770148 776 8906 7767664 776 6423 7765183 10.776 3941 776 3701 776 i46i 7760222 775 8982 775 7744 10.775 65oS 775 5267 775 4029 775 27 775 i5 775o3i8 10.774 9083 di£l" di£r ■ec .333 6o65 333 73S9 233 8652 223 9944 224 1236 234 2528 .224 3819 3345III 334 64oi 334 7693 334 898a 3350271 .225 i56i 225 2849 235 4i38 325 5436 3356714 335 8001 t.325 9289 3260S75 326 1862 226 3i48 236 4433 3365719 1.226 7004 2268288 2269572 337 o856 337 3i4o 327 3433 1.3374706 337S988 337 7370 327 8552 227 9833 228 iii4 >.228 2395 228 3675 228 495s 228623s 2287514 2288793 ).229007I 229 i35o 229 2627 2293905 229 Si82 22964S9 ^.2297735 229 901 1 230 0287 23o i562 23o 2837 23o4ii2 ^.33o 5386 33o666o 33o 7933 230 9207 23 1 0479 33i 1752 3.23 1 3o24 CO- tang. 139.4 129.3 129.3 129.3 129.2 129.1 129.2 139.0 129.1 129.0 128.9 129.0 138.8 128.9 128.8 138.8 138.7 138.8 128-6 138.7 138.6 128.5 128.6 128.5 128.4 128.4 128-4 128.4 128.3 128.3 128.2 128.2 128.2 1 38. 1 I38.I 128. 1 128.0 128.0 128.0 127.9 127.9 137.8 1279 127.7 137.8 127.7 127.7 127.6 127.6 127.6 127.5 127.5 127.5 127.4 1274 137.3 1274 127.2 127.3 127.2 sec. eo-tang. 10.776 393s 776 2641 7761348 7760056 77S 8764 775 7472 10.7756181 775 4889 7753s 775 23 775 IOI8 774 9729 10.774 8439 77471S1 774 5862 774 4S74 774 3286 774 1999 10.774 071 1 773 942S 773 81 38 773 6852 773 SS67 7734281. 10.773 2996 773 1712 773 0428 772 9144 772 7860 772 6577 10.772 5294 772 4oi2 772 2730 772 1448 772 0167 771 8886 10.771 7605 771 6325 771 5o4S 771 3765 771 2486 771 1207 10.770 9939 770 86S0 770 7373 770609S 7704818 770 3541 10.770 3265 7700989 769 971 J 7698438 7697163 769 5888 10.7694614 769 3340 769 3067 769 0793 7689521 768 8248 10.768 6976 10 10 10 d.l" 10 10 10 10 10 10 0059973 .0060008 oo44 0079 0114 0149 .0060185 02 30 0255 0291 0326 o36i .0060397 0432 0467 o5o3 o538 0574 .0060609 0644 0680 0715 0751 0786 .0060822 o857 0893 0928 0964 o9og .0061035 1070 1106 Il42 1177 I2l3 .0061 248 1284 1 320 i355 1391 1436 .0061462 cq-8in. 359.9940027 3^9.9939992 3.5 3.5 3.5 3.6 99S6 99?^ 9886 9851 3 5 999398 '5 ^'^ 9780 9745 9709 9674 o9^^? 9.9939603 9568 10 dif.r 10 tang. 10 1S69 i6o3 i64i .0061676 1712 1748 1784 1819 18SS .0061891 1937 1963 1998 2o34 2070 .0062106 3.5 3.6 3.5 3.5 3.6 3.5 3.5 3.6 3.5 3.6 3.5 3.5 3.6 3.5 3.6 3.5 3.6 3.5 3.6 3.5 3.6 3.5 3.6 3.5 3.6 3.6 3.5 3-6 3-5 3-6 3-6 3.5 3.6 3.5 3.6 3.6 3.6 3.5 3.6 3.6 3.5 3.6 3.6 3.6 3.5 3.6 3.6 3.6 3.6 3.5 3.6 3.6 3.6 9533 9497 9462 9426 9.993939 9356 9320 9285 9249! 20 30' So 40 3o 20 10 29' So 4o 3o 20 10 28' So 4o 3o 20 10 27' So 40 3o 9214 9.9939178 9143 9107 9079 9o36 900 9.9938965 8930 8894 8858 8823 8787 9.993875? 8716 8680 864S 8609 8574 9.9938538 85o2 \ co-sec. 8466 843 1 8395 8359 9.9938324 8288 8252 8216I 8181 8i4S 9.9938109 8073 8o37 8002 7966 7930 9.9937894 d.1" 10 26 So 4o 3o 20 10 2.5 5o 40 3o 20 10 24' So 4o 3o 20 10 2:^ So 40 3o 20 10 22' So 4o 3o 20 10 21 5o 40 3o 20 10 20 ■lU. 990 80° 216 90 LOGARITHMIC SINES, TANGENTS, &C. 1700 40' lO ■0M3' 4o .So 41 lO ao 3o 4o •in. lO 30 '3o 4o So 4^ 10 20 3o lO 3o 4o 10 30 3o 4o So 46' lO 30 3o 4o So 47' lO 20 3o 4o '5o 48' lo ao 3o 4o So 4^ lO 20 3o 4o 5o 9.2350918 225 a 1 54 aaS 3390 3'2S462S 225S860 aaS 7094 9.225 8328 325 9562 aa6 0795 3a6 2028 226 3261 aa64493 9-a'a6 572$ 226 6957 2268188 2269419 327o65o 327 1880 9.22731 10 227 4339 227 5568 227 6797 337 8025 327 9253 9.2280481 228 1708 228 2935 328 4162 328 5388 3286614 9.2287839 228 9064 2290289 229 i5i4 229 2738 229 3962 9.2295185 2296408 2297631 229 8853 230 0075 23o 1297 9230 25 1 8 23o 3739 230 4o5o 23o6l7V 3307399 a3o86i9 9.230 9838 a3i io57 a3i 2275 a3i 3493 a3i 4711 23 1 5928 9.231 7 1 45 23 1 8362 diCr* 123 123 123 123 123 123 123 123, 123, 123. 123. 123. 123 123 123 123 123 123 122 122 122 1 32 122 123 122 122 122 122 122, 122, 122, 122, 122. 123 123 122 132 123 122 122 122 122 123 [22 123 122, 121, 121 131 121 121 111 121 121 23i9578jJ^; lai 121 121 .6 .6 .5 .5 .4 4 4 .3 .3 .3 .2 .2 ,2 .1 I .1 .0 .0 9 9 :l .8 .8 .7 •7 •7 .6 -6 .5 .5 .5 .5 .4 .4 .3 .3 .3 .2 .2 .2 .1 .1 .0 .0 .0 o ei>-me. t«iif. 23a 0794 232 3010 232 3225 9.2324440 oo-iin. dif. I" 10.774 9082 7747846 774 66io 774 537S 7744i4o 7742906 10.774 1072 9, 774 o438 773 9205 773 7972 773 6739 773 55o7 10.773 4275I9. 773 3o43 773 1812 773o58i 772 o35o 7728120 10.773 6890 772 566i 772 4432 772 32o3 772 1975 7720747 10.771 9519I9 771 8202 771 7065 771 5838 771 4612 . 7713386 10.771 2161 771 0936 770 971 r 770 8486 770 7262 770 6o38 10.7704815 770 3593 770 2369 770 1147 7690925 7698703 10.7697482 7696261 7695041 7693821 769 2601 769 i38i 10.7690162 7688943 768 7735 768 65o7 7685289 768 4072 10.768 2855 768 i638 7680422 767 9206 7677990 7676775 10.767 556o 9. diCI" ■ee. .23 1 3o34 33 1 4206 23 1 5507 23i 6838 a3i 8109 23 1 9380 232 o65o 232 I919 3333189 332 4458 232 5726 2326905 a32 8263 232 9530 233 Orf*/j 233 3u64 333 333 1 233 4597 .233 5863 2337128 233 8393 233 9658 234 0923 2342187 2343451 2344714 334 5977 a34 7240 a34 85o2 3349764 335 1026 235 2287 235 3548 335 4809 2356069 235 7329 .235 8580 235 9848 236 1107 236 2366 336 3624 3364882 .236 61 39 336 7397 236 8653 2369910 237 1166 23724221;^^" 237 3678 "1^ 127.3 127.1 127.1 127.1 127.1 1 37.0 1 36.9 127.0 126.0 126.8 126.9 126.7 136.8 136.7 136.7 126.7 1 26.6 126.6 126.5 126.5 126.5 126.5 126.4 126.4 126.3 126.3 126.3 126.2 126.2 136.2 126.1 126.1 1 26. 1 126.0 126.0 126.0 135.9 1 35.9 125.9 125.8 125.8 125.7 135.8 135.6 125.7 125.6 12S.6 eo-taag* •ec. d.!" e«Hiin. 2376188 125.4 125 4 2377443 238??o3|-5.3 238 2457 '2-f 238 3709l"2? 338 49621;^^'^ 238 6214! "c"^ 238 7466"^' J 2388717"^'' CO-UUIf. diCl" 10.768 6976 768 5704 7684433 7683162 768 1891 768 0620 10.767 o35o 7678081 7676811 767 5542 767 4274 7673005 10.767 1738 767047H 766 9203 7667936 7666660 766540J 10.7664137 766 2873 766 1607 766 0342 7659077 7657813 10.765 6549 765 5286 765 4o23 765 2760 765 i4o8 7650236 10.764 8974 764 77'3 764 6452 764 Sioi 764 3o3i 7642671 10.764 i4ii 7640153 763 8893 7637634 763 6376 763 5ii8 10.763 386i 763 26o3 763 1347 7630090 762 8834 762 7578 10.762 6322 763 5067 762 38 1 2 762 2558 762 i3o4 762 oo5o 10.761 8797 761 7543 761 6201 761 5o38 761 3786 761 2534 10.761 1283 9.9937804 7858 7832 7786 775o 77i5 9.9937670 7645 7607 7571 7535 9.9987463 7427 73oi 7355 7319 7383 9.9937247 7211 7175 7139 7102 7066 9.9937080 6994 6958 6922 6886 6840 9.9936813 6777 6741 6705 6669 6632 9.9986596 656o 6524 6487 645 1 64i5 9.9986878 6343 63o6 6269 6333 6197 9.9986160 6134 6088 6o5i 6oi5 5978 9.9935942 5906 5869 5833 5796 5760 9.9985728 co-sec. d.!" im. 20' 5o 40 3o 20 10 19' 5o 40 3o 20 10 18 5o 4o 3o 20 10 17' 5o 4o 3o 30 10 16' 5f) 40 3o 20 10 15' 5o 4o 3o 20 lOl 14 5o 4o 3o 20 10 13' 5o 4o 3o 20 10 12' 5o 4o 3o 20 10 II 5o do 3o 20 10 10' 990 80' LOGARITHMIC SINES, TANGENTS, &C. 217 90 ITOo 50' 10 20 3o 4o 5() 51 10 30 3o 40 5o 52 10 20 3o 40 5o 5:i' 10 20 3o 40 5o 54' lO 20 3o 40 5o 55' TO 20 3o 4o 5o 56' 10 20 3o 4o 5o 57' 10 20 3o 4o 5o 58' 10 20 3o 40 5o 59' 10 20 3o 4o 5o 60' ■m. 9.282 4440 282 5655 282 6869 282 8o83 23i 9296 233 ()5io 9 233 1722 233 2935 233 4'47 288 5359 2336570 233 7781 9.288 8992 234 0202 234i4i3 234 2622 284 3832 284 5o4i 9.284 6249 234 7458 234 8666 284 9873 235 1080 235 2287 9.285 3494 235 4700 285 5906 2857112 235 8317 2359522 286 0725 286 1980 28681 34 236 4338 236 554r 236 6744 9.286 7946 2869148 237 o35o 287 i55i 287 275j! 287 3953 9.287 5 1 53 287 6854 287 7553 287 8753 287 9952 238 1 1 5o 9.288 2849 238 3547 288 4744 238 5942 288 7189 238 8335 9.288 9582 2890728 289 1928 2398118 2894318 289 55o8 9.2896702 co-8in. dif.!' 21.5 21.4 21.4 21.3 21.4 21.2 21.3 21.3 21.2 21. 1 21. 1 21. 1 21.0 21. 1 20.9 21.0 20. 20. 20. 20. 20.7 20.7 20.7 20.7 20.6 20.6 20.6 20.5 20.5 20.4 20.4 20.4 20.4 20.8 20.3 20.2 20.2 20.3 30. 1 20.1 301 200 20.I 19.9 20.0 9.9 9.8 99 9.8 9-7 9.8 9.6 9.6 9.5 9.5 9-4 diCl' co-sec. 10 10 10 10 10. 10 10 10 10 10 10 .767 556o 767 4345 767 3i3 767 191 767 0704 7669490 .766 8278 7667065 766 5853 7664641 766 3430 766 2219 ,766 1008 765 9798 765 8587 765 7878 7656168 765 4959 .765 8751 765 2542 765 i834 7650127 764 8920 7647718 764 65o6 764 58oo 764 4094 764 2888 764 i683 764 0478 .768 9274 768 8070 763 6866 768 5662 768 4459 768 3256 .768 2o54 768 o852 762 9650 762 8449 762 7348 762 6o47 .762 4847 762 8646 762 2447 762 1247 762 oo48 761 885o .761 765 1 761 6458 761 5256 761 4o58 761 2861 761 i665 .761 0468 9 760 9272 760 8077 7606882 760 5687 760 4492 .760 8298 lec. tang. 1.288 8717 2889968 289 1319 289 2469 289 37 1 9 289 4969 1. 289 63 1 8 289 7467 2398716 2899964 240 12l3 240 2460 .240 8708 240 4955 2406201 240 7448 240 8694 2409989 1.241 ii85 241 2480 241 8674 241 49 r 241 616 241 7406 1. 24 1 865o 241 989 u3l '3 242 u35 242 2878 242 8620 242 486i ).242 6108 242 7343 242 8584 242 9824 243 io64 243 23o4 1.243 3543 243 4782 2486021 243 7259 243 8497 243 9735 1.2440972 244 2209 244 3446 2444682 244 5918 2447154 f.244 8889 244 9624 245 0859 245 209J 245 8827 245 456i .245 5794 245 7027 245 8260 245 9498 246 0725 246 1956 1.2468188 990 co-tang. 28 ditl" 25.1 25.1 25.0 25.0 25.0 24.9 24.9 24.9 24.8 24.9 24.7 24.8 24.7 24.6 24.7 24.6 24.5 24.6 24.5 24.4 24.5 24.4 24.3 24.4 24.3 24.2 24.3 24.2 24.1 24-2 240 24-1 24-0 240 24.0 28.9 28.9 23. 28. 28.8 23.8 28.7 28.7 23-7 23.6 28-6 23.6 28.5 28.5 28.5 28.4 28.4 28.4 28.3 23.3 28.3 28.3 28.2 28.1 28.2 di£l" co-tang. sec. 10 10 10 10 10 10 10 10 10 10 10 ,761 1283 761 0082 7608781 7607581 7606381 760 5(j3 I .760 8782 760 2533 760 1 284 7600086 7598787 759 7540 .7596292 759 5o45 759 8799 759 2552 759 1806 7590061 .7588815 758 7570 758 6826 758 5o8i 758 3837 758 25 .758 1 3 758 0107 757 8865 757 7622 757 638o 757 5 139 ,757 3897 757 2657 757 i4i6 7570176 756 8986 756 7696 756 6457 756 5218 756 3979 756 2741 756 i5o8 756 0265 .755 9028 75577 755 6554 755 58 18 755 4082 755 2846 755 1611 755 0376 7549141 754 7907 754 6678 754 5489 .754 4206 754 2978 754 1740 754 o5o7 753 9275 753 8044 .7536812 10.0064277 43i3 435o 4386 4428 4459 10.0064496 4533 4569 4606 4642 4679 ro.00647 1 5 4752 4789 4825 4862 4899 10.0064935 4972 5009 5o45 5082 5119 io.oo65i56 5192 5229 5266 53o3 5340 10.0065376 54i3 545o 5487 5524 556i 10.0065597 5684 5671 5708 5745 5782 io.oo658r9 5856 5893 5930 5967 6004 1 0.006604 1 6078 6ri5 6i52 6189 6226 10.0066263 63oo 6887 6874 64ii 6448 ro.oo66485 d.l" tang. co-sec 3.6 3.7 3.6 3.7 3.6 3.7 co-8in. 9.9935723 5687 565o 56i4 5577 5541 3[^'9.99355o4 3.6 3.7 3.6 3.7 3.6 3.7 3.7 3.6 3.7 3.7 3.6 3.7 3.7 3.6 3.7 3.7 3.7 3.6 3.7 3.7 3.7 3.7 3.6 3.7 3.7 3-7 3-7 3-7 36 3-7 3-7 3-7 3.7 3.7 3-7 3.7 3.7 3.7 3.7 3.7 3.7 3-7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 3.7 d.l' 5467 543 1 5394 5858 5321 '9.9935285 5248 521 1 5175 5i38 5ioi 9.9985065 5028 4991 4955 4918 488 1 9.9984844 4808 4771 4734 4697 4660 9.9984624 4587 455o 45i8 4476 4439 9.9984408 4366 4329 4292 4255 4218 9.9934181 4i44 4107 4070 4o83 8996 9.9933959 8922 3885 3848 38ii 3774 9.9988737 3700 3663 3626 3589 3552 9.9933515 sin. 10' 5o 4o 3o 20 10 9' 5o 40 3o 20 10 8' 5o 40 3o 20 10 7' 5o 4o 3o 30 10 6' 5o 40 3o 20 10 5' 5o 40 3o 20 10 4' 5o 40 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 40 3o 20 10 1' 5o 4o 3o 20 10 0' 8O0 s 218 LOGARITHMIC SIN&S, TANGENTS, &C 1690 mn. Iif.l" <90->e€« 13 ^^^Z??3..'4 4o 1' lO 30 Bo 40 10 atj 3o 4o 9 10 30 4o 5o 4' lo 90 OPLI 246 baS3 240 1476 340 a6fi9 9.340 38$] 240 5o63 a4o 6344 2407436 240 8636 240 ^17 9.241 IG07 341 2107 a4i 3387 a4i 4576 241 5765 !i'S953;;°5 9'34i 8i4t 241 0839 242 05l7 342 1704 243 2891 2424077 9.242 5264 9i 119.3 1 19.3 119.3 1 19.3 ir9.a 1 19.1 1 19.2 1 19.0 1 19.1 1 19.0 119.0 1 19.0 1 18.9 1 1 8.9 1 18.8 243 6449 ; is."^ 7573551 118.8 118J 118.7 1 18.7 1 18.6 118.7 118.5 10.7603398 9.246 3i88 7602104 3464419 7600910 7599717 759 8534 7597331 7594947 7593756 7593564 7591374 7590183 dMLl" 346 565o 2466880 24681 10 3469340 10.7596139 9.247 0569 KX758 8993 9.347 7939J' 758 7803 347 9»6g , 247 1798 2473027 247 4355 347 5484 3476711 243 7635 242 8830 4ci| 343 oooS So 343 1190 S* 9.3433374 10 2433558 30 2434741 3o 3435924 4a 343 7107 5o 343 8390 6* 9-3439473 10 244 o654 ao 244 1835 3o a44 3oi7 4o 9444197 5o 244 5378 7' 9.2446558 10 344 7736 20 2:44 8^ii 3o 245 0097 4o 245 1276 5o 2.i5 2454 & 9-345 3633 10 3454810 30 345 59B8 3o 2457165 4o 345 8343 5o 345 951 9/ 9.346069 10 3461871 20 246 3o46 30 2464333 40 2465397 Sol 3466571 p 10' 9.346 7746 C:)-iJn. 1 18.5 1 18.5 118 ir8.4 fi8.4 fi8 II 8.3 1 18.3 1 18.3 1 18.3 118.2 ti8.i 1 18.3 1 18.0 118.1 1 18.0 II 8.0 II 8.0 1 17.9 1 1 7.9 1 17.8 1 1 7.8 1 17.8 1 17.8 117.7 117.7 II 7.7 1 17.6 1 17.6 117.5 117.6 117.5 117.4 117-5 dif.1" 758 66i3 758 5424 756 4235 758 3o47 10.756 1859 91248 5297 758 0671 248 6622 7570^83 2487747 7578296 2488971 7577109 2490196 757 592 J 2491420J' ro.757 4736 912493643 ' ~"" 2493866 3496089 3496312 249 7534 2498756 757 2365 757 1 180 7669995 75688101 ia756 7626 9^249 9978 7566442 2501199 756 SaSo 7554076 7562893 756 1710 10.7560528 7559346 755 8i65 7556983 7555803 755 4622 10.7553442 755 22G2 755 1083 7549903 7548734 7547546 10.7546368 754 5190 7544013 754 3835 754 i658 754 o48i 10.753 93o5 7538139 753 6954 753 5778 753 46- 246 3845 "-^ 348 4071 111% 133.5 132 133.4 122.5 123.4 73.3 >23.3 133.3 133.3 122.3 123.3 122.2 123.1 133. 1 132.1 I32.0 I33.0 123.0 I3I.9 I3I.d I3I.O I3I.8 T3I.8 131.8 131.8 131.7 131.7 1 2 1. 6 1 31. 6 I3I.6 131.6 I3I.5 131.5 I3I.4 I3I.5 131.3 121.4 1 2 1. 3 I2I.3 1 21. 3 121.2 I3I.3 ■ec. et>4Mag. difcl" 10.7536812 753 558 1 753435© 7533120 753 1890 7S30660 10.753 o43i 763 8202 7536973 7^2 5745 7524516 752 3289 iO'.752 2061 753 0834 75 1 9607 75i wBi 75 1 7155 75i 592 10.7S1 470 75 1 3478 75i 3 253 75i 1029 7509804 75o858o 10.750 7357 75061 34 760 49T I 75o3688 7602466 760 I2i^ MX75O 0022 749 8801 749 758o 749 6359 7496139 7493919 10.749 2009 749 i48o 7490261 7489042 748 7824 7486606 10.748 5388 7484170 748 2953 748 1736 748 0620 747 9^04 10.747 8088 747 6873 747 6667 747 444^ 747 3228 7472013 10.747 0800 7469586 7468373 746716CJ 746 5947 7464735 10.746 3523 tU" 10.0066485 6S23 656o 6607 6634 6671 100066708 6746 6783 6820 6857 6894 ro.0066932 6969 7006 7043 7081 7118 io.o®67i55 7103 7330 7267 73o5 7343 10.0067379 7417 7454 7492' 7629 7666 10.0067604 7641 7679 7716 7754 7791 •0.00678 99J ^'^ co-nn. 3 8 9.99^5 1 5 3.7 3.7 3.7 taog. 7866 7904 7941 79791 80 r6 io.o«68o54 8092 8139 8167 8204 8242 iO'.oo6828o 83i7 8355 83o3 843b 8468 iO'.oo685o6 8543 858i 8619 8656 8694 10.0068732 3.7 3.7 3.8 3.7 3,7 3.7 3.7 3.8 3.7 3.7 3.7 3.8 3.7 3-7 3.8 3,7 3.7 3.8 3.7 3.7 3.8 3-7 3.8 3.7 3.7 3.8 3.7 3.8 3.7 3.8 3-7 3.8 60' 3477 ^ 3440 4o 34o3 3o 3366 20 3329 10 59' 9-993320 3317 5o 4o 3i8o|3o 3i43 C<»-«fiC. 3.8 3-7 3.8 3.7 3 3.8 3.7 3.8 3-7! 3.8 3.8 3.7 3.8 3S 3.7 3.B 3.8 3.7 3.8 3.8 3.7 3.8 3.8 3io6 9.9933068 3o3i 2994 2967 291^ 2882 9^9932846 2807 2770 3733 3696 3658 9.9932621 2583 2546 25()8 3471 2434 919932396 3359J 5o 3321 2284 3246 2209 9.9932171 2i34 3096 3069 2©2I 1984 ^9931946 1908 1871 i833 20 ID 58' 5o 4o 3o 30 10 57' 5o 4o 3o 30 10 56' 60 40 3o 30 TO 5o 1796 1758 9-9931720 i683 d," 1645 1607 1670 i532 9.99314^4 i4:)7 1419 i38i 1 344 i3o6 9.9931 368 4o 3o 30 10 54 60 40 3o 30 10 53' 5o 4o 3c 30l 10 ■52 5o 4c) 3o 20 10 51' 5o 4o 3b 20 10 50' •IR- 1000 790 LOGAEITHMIC SINES, TANGENTS, &C. 219 io<» 169° 10' 10 20 3o 4o 5o 11' 10 30 3o 4o 5o 12' 10 20 3o 40 5o 13' 10 20 3o 40 5o 14' 10 20 3o 4o 5c) 15' 10 30 3o 4o 5o 16 10 20 3o 4o 5o 17' 10 20 3(. 4o 5o IS' 10 20 3c) 4(' 5(> 19' ID 20 3o 4o 60 20' ■in. dif. ] co-iec 9-2467746 2468019 247o293;;^1 2471266!!!, 247 2439 347 36c 2 9.247 4784 247 5966 2477128 247 8299 247 9470 248 0641 9.248 181 1 248 2981 248 4i5i 248 5321 248 6490 248 7658 9.248 8827 248 9996 249 1 163 349 333o 249 3497 249 4664 9.249 583o 249 6997 2498162 249 9328 250 0493 25o i658 9-25o 2822 25o 3987 260 5i5o 25o63i4 250 7477 260 8640 9.250 9803 25 1 0965 261 2127 25i 3289 25 1 445o 261 6611 9.251 6772 25 [ 7932 261 9092 262 0252 262 i4ii 252 2670 9.262 3729 262 4887 262 6045 262 72o3 262 836i 2529618 5 9-"«^^5 5:^ 253 i83i 263 2987 2634143 263 6299 253 6454 9.263 7609 1 1 7.3 1 1 7-4 117 117 1 17.3 1 17.2 117.3 117. 2 117.1 117. 1 117.1 £17.0 117.0 117.0 1 17.0 116.9 1 16.8 1 16.9 1 16.8 1 16.8 1 16-7 116.7 1 16.7 1 16.6 1167 1 16.5 1 16.6 1 16.6 116.5 116.4 116.5 1 16.3 116.4 116.3 116.3 1 16.3 116 116-3 116-3 116-1 ii6-i 116.1 1160 ii6-o 1160 116.9 116-9 116-9 1168 1 1 5-8 1 1 5-8 1 1 5.8 116.7 10.753 2264 753 108 1 752 9907 762 8734 762 7661 752 6388 10.753 6216 762 4044 762 2872 762 1 701 752 o53o 761 9369 10.75 1 8189 761 7019 761 6849 761 4679 761 36io 761 2342 taBg. 9.25s 6477 253 7689 253 8901 2640112 264 l322 264 2533 9.2643743 254 4953 2546162 254 7371 254 858o 254 9789 9.255 0997 255 2205 266 341 3 255 4620 255 6827 255 7o34 dif.r' co-tang. 10.761 11739.2668240 761 ooo5 760 8837 760 7670 760 66o3 750 5336 10.760 4170 9.266 5472 co-sin. dif. I ' ' ii5.6 1 1 5.6 116.6 116.6 116.5 760 3oo3 760 i838 760 0672 749 9607 749 8342 10.749 7178 7496013 749 4860 749 3686 749 2623 749 1 36o 10.7490197 74o 9035 748 7873 748 67 1 1 748 665o 748 4389 10.748 3228 748 2068 748 0908 747 9748 7478689 747 743o 10.7476271 747 61 1 3 747 3966 747 2797 747 1639 747 0482 10.746 9326 7468169 7467013 746 6867 7464701 746 3546 10.746 2391 255 9446 266 0662 266 1867 266 3062 266 4267 266 6676 266 7880 2669083 267 0286 267 1489 9.267 2692 267 3894 267 6096 267 6298 267 7499 267 8700 9.2679901 268 1 101 268 23oi 268 35oi 268 4701 268 6900 9.268 7099 268 8297 258 9496 269 0693 269 1 891 2693088 9.2694286 269 6482 269 6678 269 7876 269 9070 2600266 9.260 i46i 260 2666 260 386o 260 6045 260 6239 260 7432 9.260 8626 sec. co-tang. 121.2 121. 2 121. 1 121.0 121. 1 121.0 121.0 120.9 120.9 120.9 120.9 120.8 120-8 120.8 120.7 120.7 120.7 120.6 120.6 120.6 120.5 120.5 120.5 120.6 120.4 120.4 120-3 120 120 120-3 1202 I20-2 I20-2 120.1 120.1 I20I 1200 1200 120-0 I20'0 119.9 1 19.9 1198 119.8 119-8 1198 119.7 119-7 119.7 119-6 119.7 1 19.6 119.6 1 19.5 19.6 1 19.4 1 19.6 119.4 119.3 II 9.3 10.746 3523 10.0068732 sec 746 23 1 1 7461099 7459888 746 8678 745 7467 10.745 6267 746 6047 745 3838 746 2629 746 1420 746 02 1 1 10.744 9003 74477 " 74466 744 638o 7444173 7442966 10.744 1760 7440654 743 9348 7438143 743 6938 743 5733 10.743 4628 743 3324 743 2120 7430917 742 9714 742 85 1 1 10.742 73o8 742 6106 742 4904 742 3702 742 2601 742 i3oo 10.742 0099 74 1 8899 74i 7699 74i 6499 74 1 6299 74i 4ioo 10.741 2901 74 1 1703 74 1 o5o6 74o q3o7 7408109 74o 691 3 10.7406716 74o45i8 74o 3322 74o 2126 74o 0930 739 9734 10.739 8539 739 7344 7396160 739 4966 7393761 7392668 10.739 1376 dif. 1" 8770 8807 8845 8883 8921 10.0068969 8906 9034 9072 91 10 9148 10.0069186 9224 9262 ?3l? 9376 10.0069413 9461 9489 9627 9666 9603 10.0069641 9679 9717 9766 9703 983 1 10.0069869 9907 9946 10.0069984 10.0070022 0060 10.0070098 0106 0174 0212 0261 0289 10.0070327 o365 o4o3 0442 o48o 0618 10.0070666 0696 o633 0671 0710 0748 10.0070786 0826 o863 0901 0940 0978 10.0071016 d.1" tang. e»-sin. co-sec. 3.8 3.7 3.8 3.8 3.8 3.8 3.7 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.7 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3-8 3.8 3.8 3.8 3.8 3.8 3.8 3.9 3.8 3.8 3.8 3.8 3.8 3.8 3.8 3 3 3.8 3-8 3-8 3.9 3.8 3.8 3.8 3.9 3.8 3.8 3.9 3.8 3.8 3.9 3.8 3.8 3.8 9.9931268 50' i23o 1193 1 1 55 1 d.1' 1117 1079 9.9931041 1004 0966 0928 0890 0862 9.9930814 0776 0738 0701 o663 0626 9.9930687 0649 0611 0473 o436 o3o-' 9.9930359 o321 0283 0245 0207 0169 9.9930131 0093 0064 9.9930016 9.9929978 9940 9.9929902 9864 9826 9788 9749 9711 9.9929673 9635 969- 9668 9620 948 9.9929444 9406 9367 9329 9290 926 9.99292 1 4 9176 9137 9099 9060 9022 9.9928984 BID. 5o 4o 3o 20 10 149' 5o 4o 3o 20 10 4& 5o 4o 3o 20 10 47' 5o 4o 3o 20 10 46' 5o 40 3o 30 10 45' 5o 4o 3o 20 10 44' 60 4o 3o 20 10 43' 5o 40 3o 20 10 42' 60 4o 3o 20 10 41' 60 4o 3o 20 10 40' 1000 ■■IP sao LOGARITHMIC SINES, TANGENTS, &C. mo 169' iliCl" m 10 3o 4o ISl' Id 10 3o 4o 5o •22' 10 20 3o 4o 5o 10 30 3o 4o 'So lO 20 3o 4o 5o 25' 10 30 'JKJ 4o 5o •«* lO 30 3o 4o 5o •27 lO 3o 4o 5o W 10 »o 3o 4o 5o Hb' lO 20 3o 4o 5o 30' 9.253 7609 253 8764 2539918 254 1072 354 2226 354 3379 9.254 4532 354 5685 254 683? 2547989 2549141 255 0292 9.255 i444 2552594 355 3745 255 4895 3556045 255 7195 9-255 8344 255 9493 356 064 1 256 1790 256 29.18 256 4o85 9-256 5233 256 6380 256 7526 256 8673 256 9819 2570965 9.257 2 1 10 257 3255 257 4400 257 5545 25? 6689 2577833 9.257 8977 2580120 258 1 263 258 2406 258 3548 258 4690 9.258 5832 258 6973 258 81 1 4 258 9255 259 0396 259 1 536 9.259 2676 2593815 259 4955 259 6094 259 7232 2598371 9.259 9509 2600646 260 1784 260 292 1 260 4o58 260 5194 9.2606330 echsio. ;t i5>4 i5.4 1 5.4 1 5.3 i5.3 1 5.3 l5.2 1 5.3 l5.2 i5.i l5.2 »5.o i5.i 1 5.0 1 5.0 i5.o 14.9 14.9 t4'8 i4. 1 4 l4-7 14.8 14.7 14.6 i4-7 14.6 14.6 i4-5 14.5 14.5 i4-5 14.4 i4-4 14.4 14.3 1 4-3 i4-3 1 4 l4'3 14.2 i4-i i4*i i4.i i4i i4-o 14.0 1 3-9 i4-o i3. 1 3. 13.9 1 3.8 1 3.7 1 3.8 1 3.7 1 3.7 i3.6 *i3.6 co^seo. 10.746 2 746 12 7460082 745 8928 745 7774 7456621 10.745 5468I9. 745 43 1 5 745 3 1 63 745 201 1 745 o85o 7449708 10.744 8556 744 7406 7446255 744 5io5 744 3955 744 2805 10.744 i656|9 744 o5o7 743 9359 743 8210 743 7062 743 5915 10.743 4767 743 3620 743 2474 743 1 327 743 0181 742 9035 10.742 7^90 742 6745 742 56oo 742 4455 742 33 1 1 742 2167 10.742 1023 74 1 9880 741 8737 741 7594 741 6453 741 53io 10.741 4»68 9 741 3o27 741 1886 741 0745 7409604 740 8464 10.740 7 3 a4 740 6 1 85 740 5o45 740 3906 740 2768 740 1629 10.740 049 739 9354 7398216 739 7079 739 5942 739 4806 10.739 3670 9 dif.1" •ec. tang. 2608625 2609818 261 101 1 261 3 204 261 3396 361 4587 361 5779 261 6970 261 8161 361 9353 262 o542 262 1732 262 2921 26241 II 262 53oo 262 6489 262 7677 2628865 .263 oo53 263 1 240 263 2438 263 36 1 5 263 4801 263 5987 .2637173 263 8350 263 9545 2640730 264 1914 2643099 .264 4283 264 5467 264665 264 7^34 2649017 265 0200 .265 t382 265 2564 265 3746 265 4927 265 6108 265 7289 .265 8470 265 9650 266 08 3o 266 2010 2663189 266 4368 .366 5547 2666726 3667904 266 9»>82 267 0259 267 1437 267 26 1 3 267 3790 267 4907 2676143 2677318 267 8494 .2679609 f.l" 6»-taiig. 9.3 9.3 9.3 9.2 9.1 9.2 9.1 9.1 9.1 9.0 6*9 .0 .9 8 8 8.8 8.8 8.7 8.8 8.7 8.6 8.6 8.6 8.6 8.6 8.5 8.4 8.5 8.4 8.4 8.4 8.3 8.3 8.3 8.2 8.2 8.2 8 8.1 8.1 8.1 8.0 80 8.0 7-9 79 7-9 7:1 7.8 7-7 7.8 7.6 7.7 7.7 7.6 7 7.6 7.5 diCl" eo^iinf. ' 7079 r5889 '47O0 ' 35ii ' 2323 r ii35 )0947 )876o )7572 i6385 ) 5199 )4f>i3 1,2827 » 164 1 >o455 19270 ► 8o86 aM. IO.( 10 10 10 10 10 d.!" co-«in. tang. 10, 10 10 10 10 1170 1208 0071247 1285 i324 1 362 i4oi 1439 0071478 i5i6 1 555 1593 1 632 1671 .0071700 1748 1786 1825 1864 1903 ,0071941 1970 2018 3o57 2095 3Id4 .0072173 2213 225o 2289 a338 3366 .0072405 2444 2483 3533 356o 2599 .00726J8 2677 2716 2755 3703 2832 0072871 2910 2949 2988 3o27 3o66 .0073 1 o5 3i44 3j83 3222 3261 33oo 0073339 co-tec. 9.9928984 8945 8907 8868 883o 8792 9.9928753 8715 8676 8638 8599 856 1 9.9928593 8484 8445 8407 8368 8339 9.9928391 8352 83i4 8175 8 1 36 8098 9.9928059 809 7983 7943 79o5 7866 9.9927827 7788 7750 771 1 7672 7634 9.992759 7556 75i7 7478 7440 7401 9.9927362 7323 7284 7245 7207 7168 9.9927129 70o 20 10 38 5o 4o 3o 21) 10 37 5o 40 3o 20 10 :i6 5o 4« 3o 20 10 35 5o 40 3o 20 10 34 5o 40 3o 20 10 33 5o 4o 3o 20 10 n' 5c 40 3o 20 10 31' 5o 4o 3o 20 10 30' •ui. 100< TOO LOGARITHMIC SINES, TANGENTS, &C. 221 10< 16»o Bin. 3J' 10 20 3o 40 5o 31' 10 20 3o 40 5o :i2 10 20 3o 4o 5o 33' 10 20 3o 40 5o 34' 10 20 3o 4o 5o 35 10 30 3o 4o 5o 36 10 20 3o 4o 5o 37' 10 20 3o 40 5o •S8 10 20 3o 40 5o 30' 10 20 3o 4o 5() 140' 9.260 633o 260 7466 2608602 260 9737 261 0872 261 2007 9.261 3i4i 261 4275 261 5409 261 6542 261 7675 261 8808 9.261 9941 262 1073 262 2205 262 3336 262 4468 262 5599 9.262 6729 262 7860 262 8990 363 01 20 263 1249 263 2378 9.263 35o7 263 4636 263 5764 263 6892 263 8020 263 9147 9.2640274 264 i4oi 264 2527 264 3653 264 4779 264 5905 9.264 7o3o 264 8 1 55 264 9279 265 o4o4 265 1 528 265 265 1 9.265 3775 2654898 365 602 1 265 7143 265 8265 265 9387 9.2660509 266 i63o 266 2751 266 3872 2664992 266 6 1 1 3 9.2667232 266 8352 2669471 267 0590 267 1709 267 2827 9.267 3945 (lif.l" co-8in. 1 1 3.6 II 3.6 II 3.5 ii3.5 ii3.5 1 1 3.4 ii3.4 1 1 3.4 ii3.3 ii3.3 ii3.3 II 3.3 u3.2 Il3.2 ii3.i Il3.2 ii3.i 1 1 3.0 ii3.i II 3.0 1 1 3.0 1 1 2.9 112.9 II 2.9 112. 112. 112.8 1 1 2.8 1 12.7 112.7 112.7 1 1 2.6 1 1 2.6 1 12.6 1 1 2.6 112. 5 112. 5 1 12.4 112.5 112.4 112.3 II3.4 112.3 1 1 2.3 112.2 1 1 2.3 112.2 112. 2 112. 1 112. 1 112. 1 1 1 2.0 112. 1 1 1 1. 9 112.0 tll.9 til. 9 HI III. 111.8 co-sec. 10.739 3670 739 2534 739 1398 739 0263 7389128 738 7993 10.738 6859 738 572 738 4591 738 3458 738 2325 738 1 1 92 10.738 0009 737 8927 737 7795 7376664 737 5532 737 44oi 10.737 3371 tang. 737 2i4o 270 1942 did" 737 lOfO 736 9880 7368751 736 7622 10.7366493 736 5364 736 4236 736 3 1 08 736 1980 7360853 10.735 9726 735 8599 735 7473 735 6347 735 5221 735 4095 10.735 2970 735 1845 735 073! 734 Q596 734 8473 734 7349 10.7346225 734 5 1 02 734 3979 734 2857 734 1735 734 061 3 10.733 0491 733 8370 733 724 733 6i2i 733 5oo8 733 3887 10.733 2768 733 1 648 733 0529 7329410 732 8291 732 7173 10.732 6o55 9.267 9669 268 0844 268 2019 268 3193 268 4367 268 5541 9.2686714 268 7887 268 9060 269 0233 269 i4o5 269 2577 9.269 3749 269 4930 2696091 269 7262 269 8432 2699602 9.2700772 sec. 27o3iii 270 4280 270 5449 2706617 9.270 7786 270 8953 271 0121 271 1288 271 2455 271 3622 9.271 4788 271 5954 271 7120 271 8286 271 9451 272 0616 9.272 1780 272 2945 272 4109 272 5272 272 6436 272 7599 9-272 8762 272 9924 273 1087 273 2249 273 34 1 1 273 4572 9.273 5733 273 6894 273 8o55 2739215 274 o375 274 1 534 9.274 2694 274 3853 2745012 2746170 374 7329 274 8487 9.274 9644 dif. I" co-tang. co-tanw. II7.5 117.5 1 1 7-4 1 17-4 1 1 7.4 1 17.3 1 17.3 1 17.3 1 17.3 117. 2 117.2 1 17.2 117. 1 117.1 117. 1 1170 117.0 1 1 7.0 1 17-0 1 16.9 1 16.9 1 16.9 1 16.8 1 16.9 116.7 1 16.8 1 16.7 1 16.7 1 16.7 1 16.6 116.6 1 16.6 116.6 1 16.5 116.5 1 16.4 1 16.5 1 16.4 116.3 116.4 1 16.3 116.3 116. 2 1 16.3 116.2 116.2 116.1 ri6.i 116. 1 116.1 1 16.0 116.0 115.9 1 16.0 II 5.9 1 1 5.9 1 1 5.8 115.9 1 1 5.8 1 1 5.7 sec. di£l" 10.732033 1 73i 9i56 73i 7981 73 T 6807 73 1 5633 73 1 4459 10.731 3286 73i 2ii3 73 1 0940 73o 9767 73o 8595 73o 7423 10.7306251 73o 5o8o 73o 3909 73o 2738 73o 1 568 73o 0398 10.7299228 729 8o58 7296889 729 5720 7294551 7293383 10.729 22l4 729 io47 728 9879 7288712 728 7545 728 6378 10.7285212 728 4o46 728 2880 728 1714 728 0549 727 9384 10.7278220 727 7055 727 5891 727 4728 727 3564 727 2401 10.727 1238 727 0076 7268913 7267751 726 6589 726 5428 10.726 4267 7263106 726 1945 726 0785 7259625 725 8466 10.725 73o6 725 6i47 725 4988 725 383o 725 2671 725 i5i3 10.725 o356 10.0073339 3378 3417 3456 3495 3534 10.0073573 36i2 365i 36oo 37S0 3769 10.0073808 3847 3886 3925 3965 4oo4 10.0074043 4082 4l2I 4i6i 4200 4239 10.0074278 43i8 4357 43< 4436 4475 10.0074514 4554 4593 4632 4672 47" 10.0074750 4790 4829 4860 4908 4948 10.0074987 5o27 5o66 5io6 5i45 5i85 10.0075224 5264 53o3 5343 5382 5422 10.0075461 55oi 5541 558o 56 30 566o 10.0075699 d.l" co-Hin. 9.9926661 6622 3.9 3.9 3.9 3.9 3.9 3.9 3.9 3.9 3.9 4-0 3.9 399.9926192 6583 6544 65o5 6466 9.9926427 6388 6349 63 10 6270 623i tang. co-sec 3.9 3.9 4-0 3.9 3.9 3.9 4.0 3-9 3-9 3.9 4-0 3.9 3.9 4.0 3.9 3.9 4.0 3.9 3.9 4.0 3-9 4.0 4.0 3.9 4.0 3.9 4.0 3.9 4.0 3.9 4.0 3.9 4.0 3.9 4.0 3.9 4.0 3.9 4.0 4.0 3.9 4.0 4.0 3.9 6i53 6114 6075 6o35 5996 9.992595 5918 d.l" 30' 5o 40 3o 20 10 29' 5o 4o 3o 30 10 128' 5o 40 3o 20 10 27' 5o 40 3o 20 10 26' 5o 4o 3o 20 10 25' 5o 4o 3o 5879 5839 58oo 5761 9.9925722 5682 5643 56o4 5564 5525 9.9925486 5446 5407 5368 5328 5289 9.992525024' 5210 5171 5i3i 5092 5o52 9.9925013 4973 4934 48( 48 48i5 9.9924776 22* 4736 - 4697 4657 4618 4578 9.9924539 4499 4459 4420 438o 4340 9.992430 20 10 5o 40 3o 20 10 23' 5o 4o 3o 20 10 5o 4o 3o 20 10 21' 5o 4o 3o 20 10 20' Bin. 100« •ygo 1 nnn LOGARITHMIC SINES, TANGEHT8, dtC. t#0 11190 •ill. diC 1" oo-MC. 5tt 41' 3o 4o 5o 42' 10 ao 3t) 40 5o 43' 10 20 3o .40 §€ 44' 10 ao 3o 4o 45' 10 30 'Jo 40 40^9.267 3945,,, 2675065 ; 2676180" 3o| 2677297* ■ 2678414 267 9'>3i 9.2680647 10 2681763 20 268 2879 ' -"- 2683994 268 5109" '• 2686224 , I 9.2687338"* 2688452" • 2689566 [J] 269 0680 ■ 269 2906 9.2694019 2695131 "' 2696243"; 2697355" 2698467"; 2699578 J'J 9.2700689 270 1799 „,: 2702910 3704020 * 2705129 , " 2706230 "' 9.2707348 ^• 20| 2709565 271 0674 271 1782 5o 271 3889 ' 46'9'27"3997"o 10 271 5 104 * 20 271 621 1 ,. • 4o 2718423 ^j 271 9529 „o: 47' 9-272 1)635 '" 10 272 1740 .* w 272 2845 ' do t72 3950 * ;"• 40 2725055 °' 5o 2726159,, ■ 48' 9-272 7263 I^- 10 272 8366 ^• 20 2729470,, ' 3o 2730573 *.^- 4o 2731675 ^• fio 273 2778 ;„• 49'9-273 388o ^• 10 2734982 ^• 30 2736084 ^■ 3o 3737185 ^• 4o 2738286 ^■ 5o 2739387 ^'^• 50' 9 274 0487 eiMiin. dif. l" taaf. 9.2749644 2750802 275 1959 275 3l 10 275 4272 275 5428 9353I9.275 6584 275 7740 275 8895 2760050 276 1 2o5 2762360 9.2763514 2764668 2765822 2766975 2768128 2769281 9.277 0434 277 1 586 277 2738 277 3889 277 5o4i 2776192 9.277 7343 277 8493 277 9644 278 0793 278 1943 2783093 9.278 424a 278 53oi 278 65 S9 278 7687 278 8835 2789983 9.279 1 i3i 279 2278 2793425 2794571 2795717 279 6863 9.2798009 2799155 280 o3o6i3 t95i3 MC. 281 2878 281 4020 281 5i62 281 63o3 2817444 9.281 8585 co-tang. dICl" i5.8 15.7 5.7 5.6 5. 5. 5.6 5.5 5.5 5.5 5.5 5.4 5.4 5.4 5.3 5.3 5.3 5.3 5.2 5.2 5 5.2 5.1 5.1 5.0 5 4.9 5.0 5.0 4.9 it 4.8 4.8 4.8 4.8 4.7 4.7 4-6 4-6 46 4.6 4-6 4.5 4.5 U 4.5 44 4-4 4.3 4.3 4-3 4.3 4.2 4-2 4.2 4.2 4.1 4.1 4-1 dif.1" e«>taiif. 10.725 724 724 724 724 724 10.724 724 724 723 723 723 10.723 723 723 723 723 723 10.722 722 722 722 722 722 10.722 722 732 721 721 721 10.721 721 721 721 721 721 10.720 720 730 730 720 730 10.720 720 719 719 719 7>9 10,719 719 719 719 ?;? 10.718 718 718 718 718 718 10.718 o356 9196 804 1 6884 5728 4573 34i6 3260 iio5 995( 8795 764* 6486 5332 4178 3o25 1872 0719 9560 84i4 7262 6111 OOOo 2657 i5o7 o35fi 9207 8057 6907 5758 4609 3461 23i3 ii65 0017 8869 7722 6575 5429 4283 3i37 0845 9700 8555 74n 6266 5l22 3978 2835 1692 0549 9406 8264 7122 5980 4838 2556 i4i5 tang. MC 10.0075609 57*9 5770 58i8 5858 58o8 10.0075937 5977 6017 6o57 6096 6i36 10.0076176 6216 6255 6295 6335 6375 10.0076415 6455 6494 6534 6574 6614 10.0076654 6694 6734 6774 68i4 6654 10.0076894 6934 6974 7014 7054 7004 10.0077134 7174 7214 7254 7294 7334 10.0077374 74i4 7454 7494 7535 7575 10.0077615 7655 7605 7735 7776 7816 10.0077856 7806 7937 7977 8017 8057 10.0078098 GO-«ec. d.1' 4.0 4.0 4.0 4.0 3-9 4.0 4.0 4.0 3.9 4.0 4-0 4.0 3.9 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4'0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4-0 4.0 4.0 4-0 4.0 4.0 4.0 4.0 4.0 4.0 4.1 4.0 4.0 4.0 4-0 4-0 4.1 4.0 4.0 4.0 4-1 4-0 4.0 4.0 4.1 d.1" ooHnn. 9.9924301 4261 4221 4182 4143 4l02 9.9924063 4o23 3983 3943 3904 3864 9.9923834 3784 3745 3705 3665 3625 9,9923585 3545 35o6 3466 3426 3386 130' 5o 40 3o 9.9923346 16' 33o6 " 3266 3226 3i86 3146 9.9923106 3o66 3o26 2986 3946 2906 9.9932866 3826 2786 3746 3706 3666 9.9922626 3586 2546 35o6 3465 3425 9.9933385 3345 33o5 2365 3224 3i84 9.9933144 3io4 3o63 202 3 1983 1943 9.9921902 Bin. 20 10 19 5o 4o 3o 2U 10 18 5o 40 3o 20 10 17 5< 4^' 3o 20 10 5o 40 3o 20 10 15' 5o 40 3o 20 10 14 5o 40 3o 20 10 13' 5o 4o 3o 20 10 12' 5o 40 3o 20 10 11' 5o 4o 3o 20 10 10' 10O*> 790 LOGARITHMIC SINES, TANGENTS, &C. 223 10° 169«> 50' 10 20 3o 4o 5o 51' 10 20 3o •Ilk 4o 5o 52' 10 20 3o 4o 5o 53' 10 20 3o 40 5o .54' 10 20 3o 4o 5o .55 10 20 3o 4o 5o 56' 10 20 3o 4o 5o 57' 10 20 3o 4o 5o -53 10 20 3o 4o 5o 51)' 10 20 3o 40 5o I6U 9.2740487 274 1587 274 2687 274 3786 274 4886 374 5985 9.274 7083 2748182 274 9280 275 0378 275 1475 275 2573 9.275 3669 275 4766 375 5863 275 6959 375 8o54 3759150 9.376 0245 276 1 340 276 3435 376 3529 276 4623 2765717 9.2766811 276 7904 276 8997 277 0089 277 II 82 277 2274 9.277 3366 277 4457 277 5549 277 6640 277 773o 2778821 9.27799" 278 lOOI 278 2090 2783179 278 4368 278 5357 9.278 6445 278 7533 2788621 378 9709 279 0796 279 1 883 9.279 2970 279 4o56 3795142 2796228 2797314 279 8399 9.279 9484 280 0569 280 i653 380 2738 2803821 280 4905 9.280 5988 dif.!" co-flin. 1 0.0 1 0.0 09.9 1 0.0 09.0 09.8 09.0 09.8 09.8 09.7 09.8 09.6 09.7 09.7 09.6 09.5 09.6 09,5 095 09.5 09.4 09.4 09.4 09.4 09.3 09.3 09.2 09.3 09.2 09.2 09.1 09.2 09.1 09.0 09,1 09.0 09.0 08.9 (j8>9 08.9 08.9 08.8 08.8 08.8 08.8 08.7 08.7 08.7 08.6 08.6 08.6 08.6 08.5 08.5 08.5 08.4 08.5 08.3 08.4 08.3 civaec. Ung. dfCl' 10.72595139 725 84i3 7257313 7256214 725 5ii4 7254015 10.725 2917 7251818 725 0720 7249622 724 8525 724 7427 10.7246331 724 5234 7344137 724 3o4i 724 1946 724 o85o 10.723 9755 723 8660 723 7565 7236471 723 5377 723 4283 10.723 3189 723 2096 723 ioo3 722 991 1 7228818 722 7726 10.722 6634 722 5543 722 445 1 722 336o 722 3370 733 1179 10.722 0089 7218999 721 7910 731 6831 731 5732 721 4643 10.721 3555 731 3467 721 i379 721 0291 720 9204 7208117 10.720 7o3o 720 5944 720 4858 720 3772 720 2686 720 1601 10.720 o5i6 7199431 7198347 7197262 7196179 7195095 10.719 4oi 2 lec. >.28i 8585 281 9725 282 o865 282 2oo5 282 3i45 383 4284 ^.282 5423 283 6562 282 7700 282 8838 282 9976 283 iii4 ).283 225l 283 3388 283 4525 283 5662 283 6798 283 7934 ^.283 9070 284 0205 284 1 340 284 2475 284 36 10 2844744 >.284 5878 2847012 2848146 284 9279 285o4i2 285 1 545 >.285 2677 285 3809 285 4941 285 6073 285 7204 285 8335 1.285 9466 286 0596 286 1726 286 2856 286 3986 286 5ii5 1.2866245 286 7373 286 85o2 286 9630 287 0758 287 1886 1.287 3oi4 2874141 287 5268 287 6395 3877521 287 8647 .287 9773 2880899 288 2024 288 3 1 49 288 4274 288 5398 .288 6523 dif.!" 4.0 4.0 4.0 4.0 3.9 3.9 3.8 3.8 3.8 3.8 3.7 3-7 3-7 3.7 3.6 3.6 3.6 3.5 3.5 3.5 3.5 3.4 3.4 3.4 3.4 3.3 3.3 3.3 3.3 3 3.2 3.3 3.1 3.1 3.1 3.0 3.0 3.0 3.0 2.9 3.0 2.8 2.8 2.8 2.8 2.8 2.7 2.7 2.7 2.6 2.6 2.6 2.6 2.5 2.5 2.5 2.4 2.5 co-tang. co-tang. diCl" 10.718 i4i5 7180275 7179135 717799^ 717685? 717 5716 10.7174577 717 3438 717 23oo 717 1 162 717 0024 7168886 10.716 7749 7166612 716 5475 7164338 7163202 716 3066 10.7160930 7150795 715 866(j 7157525 7156390 71 5 5256 10.7154122 7i5 2988 7i5 i854 7150721 714 9588 7148455 10.7147323 7146191 714 5o 7143927 714 2796 714 i665 10,714 o534 7139404 7138274 7137144 7i3 6oi4 713 4885 10.7133755 7i3 2627 7i3 1498 71 3 0370 712 9242 712 8ii4 10.712 6986 712 5859 712 4732 7i2 36o5 712 2479 712 i353 10.712 0227 711 9101 711 7976 7ii685i 711 5726 711 4602 1 0.7 II 3477 sec. tang. 10.007 81 8178 8219 8259 8299 10.0078340 838o 8420 846i 85oi 8542 10.0078582 8622 8663 8703 8744 8784 10.0078825 8865 8906 8946 8987 9027 10.0079068 9108 9149 9189 9230 9271 10.007931 1 9352 9392 9433 9474 95i4 10.0079555 d.i' 9677 9718 9759 10.0079799 9840 9881 9922 10.0079962 io.oo8ooo3 10.0080044 oo85 OI25 0166 0207 0248 10.0080389 o33o 0371 o4i2 0452 0493 10.0080534 co-sec 4.0 4-0 4.1 4.0 4.0 4.1 4.0 4.0 4.1 4-0 4.1 4.0 4.0 4-1 4-0 4.1 4-0 4-1 4.0 4 4.0 4.1 4.0 4-1 4-0 4 4.0 4.1 4-1 4.0 4-1 4-0 4-1 4-1 40 4- 1 4i 4-0 4-1 4-1 4-1 4-0 4-1 4-1 4-1 4o 4i 4-1 4-1 4-0 4.1 4-1 4-1 4.1 4-1 4-1 4.1 4-0 4.1 4-1 co-sin. 9.9921902 1862 1822 1781 1741 1 701 9.9921660 1620 i5do 1539 1499 1 458 9.9921418 1378 1 337 1297 1256 1216 9.9921175 ii35 1094 io54 ioi3 0973 9.9920932 0892 o85 081 0770 0729 9.9920689 0648 0608 o567 o526 o486 9.9920445 o4o4 o364 o323 0282 0241 9.9920201 0160 0119 0078 9.9920038 9.9919997 9.9919956 9915 9875 9834 9793 9752 9-991971 1 9670 9629 9588 9548 9507 9.9919466 d.1" 10' 5o 40 3o 20 10 i)' 5o 4o 3o 20 10 8' 5() 4o 3o 20 10 7' 5o 4o 3o 20 10 6' 5o 4o 3o 20 10 5' 5o 4o 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 4o 3o 20 10 1' 5o 4o 3o 20 10 0' •m. 100° 79« '324 L06A1ITHMIC SINES, TANGENTS, &C, 168« 0' ii> 2CI 3o 4o 5o 1 lo 20 3i> 4o 5<» lo 30 3ii 4o 3*1 3' to 3o 4o ,5o 4' lO 20 3o 4o 5' 10 20 3o 4o 5o 20 3o 4o 5o 7» lO :20 3o 4« 5c 8' to ao 3o 4o ff'm. m.i" 'f9O*fl06* tanf. diCl" a 108.2 108.2 108.1 1 08. 1 9.2805988,^34 28o7(.72 «^ 2808154 'SI 2809.37;^-^ a8i o3i9 281 i4oi 9.a8i 703 281 35ti4 281 4645 ;;2'; 281 5726 , «■ 281 6806 'S? 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O 10.9 II.O 10.9 10.0 10.8 10.8 dif.1" eo-tiing. •ec. d.l" 4.1 4.1 4.1 jC . 10.711 3477 io.oo8o534 711 2353 0575 711 i23o 0616 711 0106 o657 7108083 710 7060 0739 Z 10.0080780 ^\ 10.7106737 7io56i5 0831 4.1 4.1 4.1 4.1 4.1 4.1 4.1 4.1 4.1 4.3 4.1 4.1 4.1 4.1 4.1 4.1 4.2 4.1 4.1 4.1 4.1 4.2 4.1 4.1 4.1 4.2 4.1 4.1 U 4.2 4.1 4.1 4.2 4.1 4.2 4.1 4.1 4.2 4.1 4.2 4.1 4.1 4.2 4.1 4.2 4.1 4.2 4.1 4.2 4.1 4.3 4.1 4.3 7104493 0863 710 3371 0903 710 225o 0944 710 1128 0985 10.7100007 10.008I036 7098886 1067 7097766 1108 7096646 1 149 709 5526 7094406 1190 1333 10.7093287 10.0081373 7092168 i3!4 709 1049 708 9930 1 355 1396 1437 708 8812 7087694 1478 10.7086576 10.0081 520 708 5458 i56i 7084341 1602 708 3224 1643 7082107 1684 7080091 1726 10.707 9874 10.0081767 707 8758 1808 707 7643 1849 707 6537 1891 707 5412 19J2 707 4297 1973 10.707 3 1 83 10.008 30l4 707 2068 3o56 707 oo54 7060840 2097 2i38 706 8737 3180 7067613 2331 10.706 65oo 10.0083263 706 5388 23o4 706 4375 2345 7o6 3i63 2387 706 2o5i 2438 7060930 10.705 9828 2470 10.0082511 7058716 2552 7057606 7o5 6495 7o5 5384 25o4 2635 2677 7o5 4274 2718 10.70531 64 10.0082760 7o5 2o55 2801 7o5 0945 2843 704 0836 3884 704 8727 2936 7047619 3967 10.704 65 11 io.oo83oo9 umf. co-iec. d.1" co-sin. 9.9919466 9425 9384 9343 93o3 9261 9.9919220 9' 79 91 38 9097 9056 9015 9.9918974 8933 8892 885i 8810 8768 9.9918727 8686 8645 8604 8563 8522 9.9918480 8439 8398 8357 83 1 6 8374 9.9918233 81 81 8109 8068 8027 9.9917986 7944 79o3 7862 7820 7779 9.9917737 7696 7655 7613 7573 753o 9.9917489 7448 74o6 7365 7333 7382 9.9917240151 7199 7»57 7116 7074 7o33 9.99 1 699 1 60' 5o 40 3o 20 10 y.v 5o 4o 3o 20 10 r>8' 5o 4o 3o 20 10 .57' 5o 40 3o 30 10 56' 5o 40 3o 20 10 55' 5o 4o 3o 20 10 54' 5o 4o 3o 20 10 53' 5o 4o 3o 20 10 52' 5o 4o 3o 20 10 ■in. 5o 40 3o 20 10 50 101< 78® LOGARITHMIC SINES, TANGENTS, &C. 225 II* I680 sm. dif.l" 10' 10 20 3o 4o 5o 11 10 20 3o 40 5u 12' 10 2C 3o 40 5o W 10 20 3o 40 5o 14' 10 20 3o 40 5o IV 10 20 3o 4o 5o 16 10 20 3o 40 5o 7 10 20 3o 4o 5o M' 10 20 3o 40 5o 1) 10 20 3o 4o 5o 20' 9.287 o48o 287 1 547 287 2613 287 3679 2874745 287 58 10 9.2876875 287 7940 287 9005 2880069 388 1 1 33 288 2197 9.288 3260 288 4324 288 5387 288 6449 2887512 288 8574 9.288 9636 2890697 2891759 289 2820 2893881 2894941 9.2896001 289 7061 2898121 2899181 290 0240 290 1299 9.290 2357 2903416 290 4474 290 5532 290 6589 290 7646 9.3908704 2909760 291 0817 291 1873 291 292 291 398 9.291 5o4o 291 6oo5 291 7i5o 291 8205 291 9259 292 o3 1 3 9.292 1367 292 2421 292 3474 292 4527 292 558o 292 6633 9^392 7685 392 8737 292 9788 293 o84o 293 1 891 293 2942 9.293 3993 co^in. 101( 06.7 06.6 06.6 06.6 06.5 06.5 06.5 06.5 06.4 06.4 06.4 06.3 06.4 06.3 06.2 06.3 06.3 o6-3 061 06-2 061 061 060 060 060 060 060 o5-9 05.9 o5.8 05.9 o5.8 o5.8 05.7 o5.7 o5.8 o5.6 o5 o5.6 o5.6 o5-6 o5.5 o5.5 o5.5 o5.5 05-4 o5.4 o5.4 o5-4 o5.3 o5.3 o5.3 o5.2 o5.3 o5.2 o5.i o5.3 o5.i o5.i o5.i co-sec tang. diCl" 10.713 9530 7128453 712 7387 7126321 712 5355 712 4190 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di£l" io.oo83oo9 3o5i 3092 3i34 3175 3217 10.0083259 33oo 3342 3383 3425 3467 io.oo835o8 355o 35rt» 3634 3675 3717 10.0083759 38oi 3843 3884 3936 3968 10.0084010 4o5i 4093 4i35 4177 4319 10.0084361 43o3 4344 4386 4428 4470 1 0.00845 1 3 4554 4596 4638 4680 4733 10.0084764 4806 4848 4800 4932 4974 io.oo85oi6 5o58 5ioo 5i43 5i85 5337 10.0085369 53ii 5353 5395 5437 5480 io.oo85523 tang. 4.2 4.1 4.2 4.1 4.2 4.2 4.1 4.3 4.1 4.3 4.2 4.1 4.2 4.2 4.2 4-1 4-2 4.3 4-3 4-1 4.2 4.2 4.2 4.3 4.1 4.2 4.2 4-3 4-3 4-1 4.3 4.3 4.3 4-2 4-2 4.2 4.2 4-2 4-2 4-2 4.2 4.2 4.2 4.3 4.3 4.3 4-2 4-3 4.3 4-3 4-3 4.3 4.2 4.2 4.2 4.2 4.2 4.3 4.2 9.991 699 1 6949 co-im. 6908 6866 6825 6783 9.991 674 1 6700 6658 6617 6575 6533 9.9916492 645o 644' lo 30 4o lO ao 3o 5a Id to so 3o 4o 5t» 27' ID 30 3o 4o lO 30 40 So 10 20 3o 4o 5o mn. 9.293 3993 293 5o43 3936093 3937143 S1938193 293 9:142 9.394 0391 294 1 340 394 3388 394 3437 394 4485 394 5533 9.394 658o 29I7637 3^(8674 9949721 395 0767' 395 i8i4 9.395 2859 - 395 3905 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5619 678 4582 678 8545 6782508 10.678 1 47 1 678 0434 672 9898 672 8862 672 7826 672 6290 10.672 5255 8334 3378 3422 3467 35ii 10.0093555 ^ dif.l" tang. 35 364 8687 3782 8776 10.0098820 8864 3^ 8997 4o4i 10.0094086 4180 4174 4219 4263 4807 10.0094352 4396 4441 4485 4529 4574 10.0094618 4663 4707 4752 4796 4841 10.0094885 4980 4974 6019 5o68 5io8 10.0095152 5197 5241 5286 533 1 5875 10.0095420 5464 5509 5554 5598 5643 10.0095688 5782 5777 5822 5867 5911 10.0095956 co-sec co-sin. 9.9906710 6666 6622 6578 6533 6489 9.9906445 64oi 4-4 4.4 4.4 4.5 4.4 44 44 44 44 4.5 44 44 44 4.5 44 44 44 4.5 44 44 4.5 44 44 4.5 44 4.5 44 44 4.5 44 4.5 44 4.5 44 4-5 159-990511 5 44 4-5 44 4-5 4.4 6357 63i3 6268 6224 9.9906180 6i36 6091 6047 6oo3 5959 9.9905914 5870 5826 578 5787 5693 9.9905648 56<,4 5559 55i5 5471 5426 9.9905382 5337 5293 5248 52o4 5i59 4-5 44 4-5 4-5 44 5070 5026 4981 4087 4892 9.9904848 48o3 4759 4714 4669 5 4625 7,9.9904580 "^"^ 4586 4.4 4-5 4.5 4.4 4.5 4-5 4491 4446 44o2 4857 T/ 9.990481 3 4-4 ' ''^ 4268 4228 4.5 4.5 4.5 44 4.5 d.l' 4178 4i38 4089 9.9904044 10' 5o 4o 80 20 10 9' 5o 4o 80 20 10 8' 5o 4o 3o 20 10 7' 5o 4o 80 30 10 6' 5o 4u 3o 20 10 5' 5o 40 3o 20 10 4' 5o 4o 80 20 10 3' 5o 4o 80 20 10 2' 5o 4o 3o 20 10 1' 5o 4o 80 20 10 0' ■in. 1010 78° 290 LOGAEITHMIC SINES, TAN&SNTS, «&C. !«*» 167° itii> 0' 10 4o So 1 lO lillJ 3o 4o ,2* m 3o 4o ^So 3' 10 30 3*1 4/0 5o 4' 10 30 ■JPO 4o §1 Id 3o 4o So 6' lO ao 3o 4o So 7' 10 30 3o ■So 6' lO iiiiiJ .3o 4o So •r JO 20 4o 'So 10* 9.3178789 3*7 9780' 3180770 3i8 1760 3i8 2749 3i8 373 9.3184731 3185717 3186706 3i8 3 18 6683 J18 9671 9.3190659 319 1647 319 a634 319 3631 3194608 3 195595 9.3 1 9 658 1 3197567 3198553 319 9S3 Sao oSa 3ao i5io 9.320 3495 3ao348o dt£ ,.. 99.1 99.0 99.0 98.9 90.0 9^.9 98.9 98.9 96.8 98.8 98.8 98.7 98.7 98.7 98.6 98.6 1! 98 6 98.6 98.6 98.5 96.5 98.5 330 4464 9«-4 320 ^AAn\ V»-5 00 WKtfm 320 5449 3ao6433 3207417 9.3ao B4o(i 3ao9384 331 o367 331 i35o 3a I 3333 32i33«5 98.4 98.4 98.3 98.4 98.3 98.3 98.3 98.2 98.2 98.3 98.1 3ai 92o5|??I .3320186 ?2' 321 7243 331 8234 98' t 98.0 98.0 96.0 323 1 167 322 2l47 322 3127 3334107! 'o„ 3aa 5087 S« 9.3336066 97-9 322 7046 98.0 322 8025 97-2 322 9(K)3 9/-° ^?9982n 3^30960 97° 9f 1 '938 97-8 333 2916 ?7J 333 3B94I 97-8 323 48711 97-7 323 5848 97-7 3236835 97-7 9.333780397.7 eo^in. Ml" 10.683 131 1 68a oaao 681 9230 6818240 681 725i 681 6261 10.O81 527a 681 4383 681 3294 68t 33o5 68i i3i7 68 r 0339 10.6809341 680 8353 6807366 6806379 6805393 68o44o5 10.680 3419 680 2433 68» 1447 6800461 6799475 6798490 10.6797505 679 65 20 679 5536 6794551 679 3567 679 2583 10.679 '^*^ 6790616 6789633 6788650 6787667 6786685 10.678 5703 6784721 678 3739 678 3757 678 1776 6780795 10.6779814 6778833 6777853 6776873 6775893 6774913 10.67739349. 677 2954 6771975 6770997 677 0018 6769040 10.676 8063 9 6767084 6766106 6765139 676415a 6763175 10.67631989 ,? ^.337 4745 337 5780 3376815 327 7850 337888S 337991 ^338 095 328 1987 328 3o2i 328 4o54 3285087 3286120 1.3287153 3288185 3389218 3390250 339 1282 3292313 f.3a9 3345 329 4376 329 5407 329 6437 329 7468 3298498 1.329 9528 33oo558 33oi588 3303617 33o3646 330 4675 .33o 5704 3306732 3307761 330 8789 3309817 33 1 0844 .33 1 1872 33 1 2899 33 1 3926 33 1 495a 33 1 5979 33 1 7005 .33 1 8o3i 33 1 9057 332 oo83 333 1 108 332 2i33 332 3 1 58 332 4 1 83 333 5207 3326232 332 7256 332 8280 332 93o3 .333 o327 333 i35o 333 2373 333 3396 3334418 333 5440 .333 6463 Mtv 00-tsnf. eo-tanf. io3,5 io3.5 io3.5 io3.5 103.4 fo3.4 io3.4 io3.4 io3.3 io3.3 io3.3 io3.3 io3.2 io3.3 io3.2 io3.3 io3.i io3.3 io3.i io3.i io3.o io3.i io3.o io3.o io3.o io3.o 103.9 102.9 102.9 102 102 103 loa 102.8 102.7 102.8 102.7 102.7 102.6 ioa.7 102.6 102.6 102.6 ioa.6 102.5 102.5 102.5 I03.5 103.4 102.5 103.4 10a .4 103.3 102.4 103.3 102.3 ioa.3 103.3 102.2 102.3 1.8 1.8 diCl" 10.672 5255 672 4320 673 3 1 85 673 3i5o 673 iiiS 6720081 10.671 0047 671 801 3 671 6970 671 5940 671 4913 671 388o 10.671 2847 671 181 5 671 0783 6700750 0708718 6707687 10.6706655 6705634 6704593 670 3563 670 2532 670 l502 10.6700472 669944a 6698412 6697383 6696354 669 5335 10.66942 66933 6692239 669 1211 6690183 668qi56 10.6688128 6687101 6686074 668 5o48 6684o3i 6662995 10.666 1969 6680943 6679017 6678892 667 780 6676842 10.6675817 667 4793 6673768 667 2744 667 1720 6670697 10.6660673 666865o 6667627 6666604 666 5582 666 4560 10.666 3537 10.0095956 6001 6046 6090 6i35 6180 10.0096335 6370 63i4 6359 64o4 6449 10.0096494 6584 6639 6673 6718 10.0096763 6808 6853 6898 6943 6988 10.0097033 7078 7133 7168 73i3 7358 10.0097303 7349 73§4 7439 7484 7529 10.0097574 7619 7664 7710 7755 7800 10.0097845 d.1" 7981 8026 8071 10.0098117 8163 8307 8252 8298 8343 IO.OOQ8388 8434 8479 8524 8570 861 5 10.0098661 tanf. 4 4 4 4 4 4 4 4 4 4 4 4 4 4. 4< 4. 4. 4. 4 4 4 4 4 4 4 4 4. 4. 4 4. 4. 4. 4. 4. 4 4 4 4 4. 4 4. 4. 4. 4 4 4 4 4 4 4 4. 4. 4. 4. 4. 4. 4. 4 4 4 CIMIlll. 5 •4 .5 .51 .5 .5 .4 .5 .5 .5 .5 .5 4 5 5 .5 5 5 .5 .5 .5 .5 .5 .5 .5 .5 .5 .6 ,5 5 5 5 .5 .5 .5 .6 .5 .5 .5 ,5 6 .5 .5 .5 .6 .5 .5 .5 .6 .5 .5 .6 .5 .5 .6 .5 c 9.9904044I6O' 3910 3865 3820 9.9903775 3730 3666 364 3596 355 1 9.9903506 3461 3416 3371 3327 3282 9.9903237 3192 3i47 3l02 3o57 3012 9.9902967 3022 2877 2832 3787 3742 9.9903697 365 1 2606 256i a5i6 347 1 9.9902426 54' 238i " 2336 2290 2245 2200 9.9902155 2110 3064 2019 1974 1029 9.9901883 i838 1793 1748 1702 1657 9.9901 61 2 i566 l52I 1476 i43o i385 9.9901339 5o 4o 3o 20 10 50 5o 4o 3o 20 10 .-)8' 5o 4o 3o 30 10 57' 5o 4o 3o 20 10 56 5o 40 3o 30 10 155' 5o 40 3o 20 10 5o| 40 3o 20 10 53' 5o 4o 3o 20 10 52' 5o 4o| 3o 20 10 51' 5o 4o 3o 20 10 'SO' e»^e. d.r i sin. 10' 10 20 3o 4o 5o 11' 10 20 3o 40 5f) 12 10 20 3( 40 5() 13 10 20 3{ 4<> 5o 14' 10 20 3o 4o 5o 15' 10 20 3o 4o 5o 16 10 20 3o 40 Sol 17 10 20 3o 4o 5o 18' 10 20 3o 40 5o ID 10 20 3( 40 5o 20' dif.l" 9.323 7802 323 8778 323 97.55 3240731 324 1707 324 2682 9.324 3657 324 4633 324 5607 3246582 324 7556 324 8531 9.3^4 95o5 325 0478 325 i452 325 2425 325 3398 325 437' 9.325 5344 325 63i6 97.6 97.7 97.6 97.6 97.5 97.5 97.6 97-4 97.5 97.4 97.5 97.4 97.3 97-4 97.3 97.3 97.3 97.3 97.2 325 7288 97-2 325 8260 3^59232 326020! 9.326 1 174 3262145 326 3!i6 326 4087 326 5o57 3266027 9.3266997 326 7966 3268936 3269906 327 0874 327 1843 9.327 2811 327 3779 327 4748 3275715 327 6683 327 765o 9.3378617 327 9584 328o55i 328i5i8 328 2484 328 3450 9.328 44 1 6 328 538i 328 6346 3287312 3288276 3289241 9.329 0206 329 1 170 3292134 3293098 329 4o6i 329 5o24 9.329 5988 co-«in. 97.2 97.2 97- 1 97.1 97-1 97.1 97.1 97.0 97.0 97.0 96.9 97.0 96.9 96.9 9^2 96.8 96.8 96.9 96.7 96.8 96.7 96.7 96.7 96.7 96.7 96.6 966 96.6 96.5 96.5 96.6 96.4 96.5 96.5 96.4 96.4 96.4 96.3 96.3 96.4 eo-sec tang. 10.676 2198 676 1222 676 0245 675 9260 675 8293 6757318 10.675 6343 675 5367 675 4393 675 3418 675 2444 675 1469 10.675 0493 6749522 674 8548 674 7575 6746602 674 5629 10.674 4656 674 3684 674 2712 674 1740 674 0768 673 9797 10.673 8826 673 7855 673 6884 673 5913 6734943 673 3973 10.673 3oo3 673 2o34 673 1064 673 0095 6729126 6728157 10.673 7189 6726221 672 5252 672 4285 672 33 1 7 67a 235o 10.673 1 383 673 04 1 6 671 9449 671 8482 671 75i6 671 655o 10.671 5584 671 4619 671 3654 671 2688 671 1724 671 0759 10.6709794 670 88 3o 670 7866 6706902 670 5930 670 4970 10.6704012 dif.!" diCl" sec. ..333 6463 333 7484 333 85o6 333 9528 334 0549 334 1 570 (.334 2591 334 36ri 334 463 r 334 5652 3346671 334 7691 1.334 8711 334 9730 335 0749 335 1768 335 2786 335 38o5 ^335 4823 335 584 1 335 6859 335 7876 335 8893 3359910 ?.336 0927 336 1944 336 2960 336 3977 3364993 3366008 ^.336 7024 336 8039 336 9054 3370069 337 1084 337 2099 ^.337 3ii3 3374127 337 5i4i 3376154 3377168 3378181 ^.3379194 338 0207 3381219 338 2232 338 3244 338 4256 ^.338 5267 338 6279 338 7290 338 83oi 3389313 3390323 ^.339 t333 339 2343 339 3353 339 4363 339 5372 3396382 9.339 7391 co-tang. I03.I ro3.3 102.2 102.1 102. 1 102.1 I03.0 102.0 102. 1 IOI.9 102.0 102.0 101.9 IOI.9 lOI. 101. rol.9 101.8 IOI.8 101.8 101.7 101.7 lOI lOI lOI lOI 101 I0I.6 IOI.5 IOI.6 101.5 101.5 101.5 101.5 101.5 101.4 101. 4 101.4 101.3 101.4 101.3 101.3 101.3 101.2 101.3 101.2 101.2 101. 1 101.2 101 lOI lOI lOl loi.o 101.0 101. o lOI.O 100.9 101. o 100.9 ■ec. eo-tang. 10.666 3537 666 25i6 6661494 666 0472 6659451 665 843o I0.665 7409 665 6389 665 5369 665 4348 665 3329 665 2309 10.665 1289 665 0270 6649251 664 8232 6647214 664 6195 10.6645177 6644169 6643i4i 664 2 1 24 664 1 107 6640090 I0.663 9073 663 8o56 663 7040 1663 6023 663 6007 663 3992 I0.663 2976 663 1961 6630946 662 993 662 8916 662 7901 10.662 6887 662 5873 662 4859 662 3846 6622832 662 1819 10.662 0806 661 9793 661 8781 6617768 661 6766 661 5744 10.661 4733 661 3721 661 2710 661 1699 6610688 6609677 10.660 8667 6607667 6606647 660 5637 6604628 66o36i8 10.660 2609 d. dif.l" 10.0098661 8706 8761 8797 8842 8888 10.0098933 8979 9024 9070 9"5 9161 10.0099206 9263 9297 9343 9388 9434 10.0099479 9626 9671 9616 9662 9707 10.0099753 9799 9844 9800 9936 10.0099981 10.0100027 0073 0119 0164 0210 0256 io.oioo3o2 o347 0393 0439 o485 o53i 10.0100677 0622 0668 0714 0760 0806 10.0100862 0898 0944 0990 io35 1081 10.0101127 1173 1219 1265 i3ii i357 io.oioi4o3 oo- 5o 'Hi 10 30 3o 4<» 5c ■!7' 10 30 ^^ 40 5o 9.339 5988 339 6950 3397913 339 8875 339 9838 33oo8oo 9.330 1761 33o 3723 33o3684 33o 4645 33o 56o6 33o 6567 9.330 7537 3308487 330 9447 33 1 o4o7 33 1 1 367 33i 3326 9-331 3385 33 1 4^44 33 1 52o3 33t 616! 33 1 71 19 33 1 8077 9.331 9035 33 1 9993 333 0930 333 1007' 333 3864 333 3830 co-scc. 96.3 96.3 96.3 96.3 96.2 "&' 9^» 96.1 96.1 96.1 96.1 96.0 96.0 96.0 96.0 96,0 95.9 91.9 95.9 95.8 95.8 95.8 95.8 95.8 95.7 95.7 95.7 95.6 95.7 10.6704013 G7o3o5o 670 2087 670 1135 6700163 6699300 10.669 6239 9.340 3441 tMlg. mil" 9.339 7391 339 8400 3399409 3400417 340 14^5 340 3433 6697377 6696316 6695355 6694394 6693433 10.669 2473 669 t5i3 o553 9.332 4777! '5 ^ 332 5733! ^c ft 3337645 "cr 332 86f)o 332 9')S6 9.333 o5i I 333 1 466 333 3430 333 3375 333 4320 333 5283 9 333 6? 37 3 3 '' 7 1 9f'> 333 8144 3339097 33:|oo5o' 334 1002 ■ii'!y.334 1955 (ol 334 3907 334 3.H59 3344811 334 5763 3346714 20 5o 2>' 10 30 3o 4o 30 Mr 65.5 95.6 95.5 75.5 95.4 91.5 95.4 95.4 95.4 95.3 954 95.3 95.3 95.3 95.3 95.3 95.3 95.3 95.3 95.1 668 6687674 io.6686715 668 5756 668 4797 668 3839 668 3881 668 1923 10.668 0965 6^>8ooo7 667 ooSo 6678093 6677136 667 '^rSo 10.667 5'^ 2 3 667 4367 6673311 66- 2355 667 1 400 6670444 340 4449 340 5456 3406464 340 7471 340 8477 9.340 9484 34 1 0490 341 1496 34i a5o2 341 35o8 341 45 1 4 9.341 5519 34 1 6524 34i 7529 341 8534 34 1 9538 343 o543 9.342 i546 342 355o 3 f2 3554 343 4557 343 556o 34^ 6563 9.343 7566 3428569 342 9571 343 0573 343 1575 343 357-' eo-tang. 100.9 100.9 100.8 100.8 100.8 100.8 100.8 100.7 100.8 100.7 I00.6 1007 100.6 1006 100.6 1006 100.6 100.5 too 5 100.5 100.5 ioo.4 100.4 100.4 100.4 100.4 100.3 100.3 100.3 100.3 100.3 10.660 2609 660 1600 6600591 6-59 9583 6598575 659 7567 10.6596559 659 555i 6594544 6593536 659 2539 659 1 53 J io.65oo5i6 658 9510 658 85o4 6587498 Me. d.l" io.oioi4o3 1449 1490 1 543 i588 i634 io4>ioi68o 1736 1773 i8t8 1864 1910 10.0101957 3oo3 3o4q 3093 e».«in. 4-6 '•''IS? 4.7 4.6 4.6 4S 4.6 85o4 8458 84i2 8366 5;^ 9.98^320 4.6 9 334 766519^-; 3348616 ??■' 334 9567 335o5i7 335 1 468 3353418 9.335 3368 e«HiiD. 9*).! 95.0 95.1 95.0 95.0 diCl' 666 8534 666 758o 6666625 6665671 6664717 o.t566 3763 666 2810 666i856 6660903 6659950 665 899*^ io.665 8o45 665 7093 6656i4i 6655189 665 4237 665 3286 10.665 2335 665 1 384 665 0433 664 9483 664 8532 664 7582 10.664 6633 •ec. 6586403 ai4i 658 5486 3188 io.658 448 1 10.0103334 658 3476 2380 10.666948993433571: 3434580 343 558i 343 6582 343 7582 343 8583 9.343 9503 344 o5d3 344 1 583 344 25B3 344 3582 3444581 9.344 55Ko 3446579 3447578 344 8576 3449574 345 0572 9.345 l570 345 2568 345 3565 345 4562 345 5559 345 6556 9.345 7553 oo-tanf. 100.2 iOO.3 1 00.2 100.3 fOO.l 100.3 1 00.1 fOO.l 100.0 1001 1 00.0 100.0 100-0 lOO.O 999 999 999 999 99.0 99? 99.8 99.8 99.8 99.8 99.7 99-7 997 99-7 99.6 658 3471 658 1466 658o46» 657 0458 I0.657 8454 657 7450 657 6446 657 5443 657 4440 657 343: I0.657 2434 657 143 657 0429 6569437 6568435 656 7423 10.6566433 656 5420 656 4419 656 3418 656 3418 656i4i7 io.656o4i7 6559417 655 8417 6557417 655 6418 655 5419 I0.655 4420 655 3431 655 3423 655 1424 655 0426 654 0428 10.654 8430 654 7433 6546435 654 5438 654 4441 654 3444 10.654 2448 4.6 4.6 4.6 4.7 4.6 4.6 4.6 4.6 4.7 4.6 4-6 8374 8228 8182 8i36 8090 9.9898043 7997 7951 79«>5 7659 7812 9.9897766 di£l" 3336 2373 3419 3465 10.0I035l I 2556 3604 265o 3697 2743 10.0103789 3836 2882 2928 2975 3o3i io.oiodo68 3ii4 3i6i 3307 3353 33oo io.oio3346 3393 3439 3486 3532 357 10.0I0363 3672 3719 3765 38i3 3858 10.0103905 3953 3998 4045 4093 4i38 io.oio4i85 co-sec. 4-6 4-7 4-6 46 4-6 4-7 4-6 46 4.7 4-6 4-6 4-7 4-6 4-6 4.7 4-6 4.7 46 4.7 4-6 4-6 4-7 4.6 4.7 4-6 4.7 4.6 4.7 4.7 4-6 4.7 4.6 4.7 4.6 4.7 4.7 4.6 4.7 4.7 4.6 4.7 d.1" 7720 7674 7627 758i 7535 9.9897489 744a 73o6 735o 7257 9.9897311 7164 7118 7073 7025 6979 9.989693? 6H86 6830 6793 6747 6700 9.9896654 6607 656 1 65i4 6468 6421 9.9896374 6328 628 f 6235 6188 6142 9.9896095 6048 6002 5955 9.9895815 40' 5o 4o 3o 30 10 3J)' 5o 4o 3o 30 10 ;te 5o 4o 3u 30 10 37 5o 4o 3t 30 10 5o 40 3o 20 10 35 5o 40 3o 20 10 34' 5o 4o 3a 30 10 33 5o 40 3o 20 ro 32 5t 4o 3<» 20 io| 31 5o 4" 3o 30 10 30' no. 102° 770 LOGARITHMIC SINES, TANGENTS, &C. 233 ia« l«7o 30' 10 20 3o 4o 5o 31' 10 20 3o 40 5o 32' 10 20 3o 4o 5o 33' 10 Bin. dif.l" 20 3c) 40 5o 34' 10 30 3o 40 35 10 30 3o 4o 5o .i6 10 20 3o 4o 5() 37 10 20 3c 4<> 5o 38' 10 20 3o 40 5o 3!>' 10 20 3o 4( 5(. 40 9.335 3368 3354317 335 5267 3356216 3357165 335 8ii3 9.335 9062 3360010 336 0958 336 1906 336 2854 336 380I 9.336 4749 336 5696 3366643 336 7589 336 8535 3369482 9.337 0428 337 1 373 337 23i9 337 3i64 337 4209 337 5(54 9.337 6099 337 7043 337 7987 3378931 337 9875 3380819 9.338 1763 338 27o5 338 3648 3384591 338 5533 338 6476 9.3387418 338 8359 3389301 3390343 339 1 1 84 339 2125 9 3393065 3394006 3394946 339 5887 3396826 339 7766 9.3398706 339 9645 340 o584 340 1 523 340 2462 3.40 3400 9.340 4338 34o 5276 3406214 340 7 1 52 340 8089 34o 9020 9.340 9963 94.9 95.0 94.9 94.9 94.8 94.9 94.8 94.8 94.8 94.8 94-7 94.8 94-7 94.7 94.6 94.6 94-7 94.6 94-5 94.6 94-5 94.5 94-5 94.5 944 94.4 94.4 94.4 94.4 94.3 94.3 94.3 94.3 94.2 94.3 94.2 941 94.2 94-2 94.1 94.1 94.0 94.1 94.0 94.1 93.9 940 94.0 93.9 93.9 9.3.9 93.8 93.8 93.8 93.8 93.8 93.7 93.7 93.7 co-8ec. tang. diCr I0.6646632 664 5683 664 4733 664 3784 664 2835 664 1887 10.664 0938 663 9990 663 9042 663 8094 663 7146 6636199 10.663 525i 663 43o4 663 3357 663 2411 663 1 465 663o5i8 io.662 9572 6628627 6627681 662 6736 662 579 662 4846 10.662 3901 662 2957 662 20l3 662 1069 6()2 0123 661 9181 10.661 8238 661 7295 661 6352 661 5409 661 4467 661 3524 10.661 2582 661 1641 661 0699 6609757 6608816 6607875 10.6606935 660 5994 660 5o54 66o4»i3 66o3i74 660 2234 10.660 I2q4 66t) o355 6599416 659 8477 659 7538 6596600 10.659 5662 659 4724 659 3786 659 2848 659 1911 659 0974 10.6590037 co-sin. difil" 9.345 345 345 346 346 346 9.346 346 346 346 346 346 9.346 347 347 347 347 347 9.347 347 347 347 347 348 9.348 348 348 348 348 348 9.348 348 348 349 349 349 9-349 349 349 349 349 349 9-349 35o 35o 35o 35o 35o 9-35o 35o 35o 35o 35o 35i 9.351 35i 35 1 35i 35i 35i 9.351 aec. 7552 8549 9545 o54i i536 2532 3527 4522 55i7 65i2 7506 85oo 9494 0488 1482 2475 3469 4462 5454 6447 7439 8432 9424 o4i5 1407 2398 3389 438o 5371 6362 7352 8342 9332 o322 i3ii 33oi 3290 4279 5267 6256 7244 8232 9220 0208 1195 2i83 3i70 4i57 5i43 6i3o 7116 8l03 9088 0074 1059 3045 3o3o 4oi4 4999 5984 6968 99-7 99.6 99.6 99.5 99.6 99.5 99.5 99.5 99.5 99.4 99.4 99.4 99-4 99-4 99.3 99.4 99.3 99.2 99.3 99.2 99.3 99.3 99.1 99.2 99.1 99.1 99.1 99.1 99.1 99.0 99,0 99.0 99.0 98.9 99.0. 98.9 $i 98.9 98.8 98.8 98.8 98.8 98.7 98.8 98.7 98.7 98.6 987 98.6 98.6 98.6 98.6 98.5 98.6 98.5 98.4 98.5 98.5 98.4 co-tang. co-tang. difH" I0.654 2448 654 i45i 654 0455 6539459 653 8464 653 7468 I0.653 6473 653 5478 653 4483 653 3488 653 2494 653 i5oo I0.653 o5o6 652 9512 652 85i8 652 7525 653 6531 653 5538 10.653 4546 652 3553 652 356i 653x568 653 0576 65 1 9585 io.65i 8593 65 £ 7603 65i66ii 65 1 5620 65 1 4629 65 1 3638 io.65t 2648 65 1 i658 65io668 65o 9678 65o 8689 65o 7699 10.6506710 65o572i 65o 4733 65o 3744 65o 2756 65o 1768 io.65o 0780 649 9792 649 88o5 6497817 649 683o 649 5843 10.649 4857 649 3870 649 2884 649 1898 649 091 2 648 9926 10.648 8941 648 7955 648 6970 648 5986 648 5ooi 648 4016 10.648 3o32 taiig. sec. d.1" io.oio4i85 4232 4278 4325 4372 4418 I0.0I04465 45i2 4559 46o5 4652 4699 10.0104746 4793 4839 4886 4933 4980 io.oio5o27 5074 5l2I 5167 52i4 5261 10.01 o53o8 5355 54o3 5449 5496 5543 10.0105590 5637 5684 5731 5978 5835 10.0105873 5919 5966 6oi3 6061 6108 io.oio6i55 6302 6249 6296 6343 63oi 10.0106438 6485 6532 6579 6637 6674 10.0106731 6768 6816 6863 6910 6958 10.0107005 .6 4.7 4.7 4.6 4 4 4 4 4. 4 4 4- 4 4 4.7 4-7 4-7 4.7 4.7 4.6 4.7 4.7 4.7 4.7 4-7 4.7 4-7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.7 4.8 4.7 f 9 4.7^ 4.7 4.7 4.7 .8 4 4 4 4. 4. .8 co-sin. 5o 40 3o 30 30 10 5722 5675 5628 5582 10 ■79.989553529' ■7'^^'^5488 '^ 5441 . 5395 3o 5348 2C 53oi ic "7 9.9895254 28 ■^ 5207 5o 5i6i 4o 5ii4 3o 5067 20 5o3o 10 t'9-9894973» ^ ' 4926 5o 4879 4o 4833 3o 4786 4739 9.9894692 26 4645 5o 45o8 40 455 I 3o 45o4 20 A n 4457 - t^ 9.989441025' 4-7 ' 4363 5o 43i6 4o 4269 3o 4222 20 4175 10 .989412824 4o8i 5o 4o34 4o 3987 3o 3939 20 3892 10 ,9893845 23' 3798 5o 3731 4o 3704 3o 20 10 22' 3657 3609 "^ 9.9893562 •7 ^^^351 5 3468 3421 3373 3326 9.9893279 3232 co-sec. ■4 4. 4. 4. 4. 4.7 4.7 4.8 4.7 ,8 3i84 3i37 3090 3o43 - 9.9892995 20 d.1" no. 5o 4o 3o 20 10 21' 5o 4o 3o 20 10 102« TTo aa I! 234 LOGARITHMIC SINES, TANGENTS, &C, 12C itno WmBU 10 ao 3o 4o 5( 41' lo 20 3o 4p 5o 142 lO ao lO 20 3o 4o 44' lO 20 3o 4o 5o 45 lO JO 3o 4o 5o 46^ 10 20 3o 4o 5« 47' lO 30 3o 4o 5o 48' lo 20 3o 4o 5o 4©' lo 30 3o 4o 5o 50* mtv 40'|934o9963 34i oc 34 1 io36 34 i 3773 341 3700 3414644 9.341 558o 341 65ift 341 745i 34i8386{ 341 93a I 34a oa55 9.342 ii9(J 34a aia4 34a3o58 342 399a 342 4o95 342 5o59 9.342 6792 342 7725 3428657 342 9590 343 o52a 343 1454 9.343 a 386 343 33 1 o 343 4a49 343 5i8o 343 61 1 1 343 7042 9.343 7973 343 8903 3439833 344 0763 34i 1693 344 2623 9.344 3552 3444481 3445410 344 6339 344 7267 3448196 9.3449124 345 oo5a 345 0979 345 1907 345 2834 345 376! 9.345 4688 345 561 5 3456541 3457467 345 8393 3459319 9.346 0245 346 1 1 70 346 2095 346 3o2o 3463045 3464870 9.346 5794 eo-sin. 93.7 93.6 93.7 93.6 93.5 93.6 93.6 93.5 93.5 93.5 93.4 93.5 93.4 93.4 93.4 93.3 93.4 93.3 933 93.2 93.3 93.2 93.2 93.2 93.2 93.1 93.1 93.1 93.1 93.1 93.0 93.0 93.0 93.0 93.0 92.9 92.9 92.9 92.9 92.8 92.0 92.8 92.8 92.7 92.8 92.7 92.7 92.7 92.7 92.6 93.6 92.6 92.6 93.6 93.5 92.5 92.5 92.5 92.5 92.4 «o-Me. ioj65o 0037 658 9100 6588i64 5587327 658 6291 658 5356 I0.658 4420 658 3484 658 2549 658 i6i4 6580670 6570745 10.6578810 657 7876 657 6942 6576008 6575075 657 4»4i ioj657 32i:)8 657 2275 657 1 343 6570410 656 0478 diCl" tanff. 9.351 6968 35i 7952 35 1 8936 35i 9919 35» 0903 352 1886 9.352 2869 352 3852 352 4835 352 5817 352 6799 352 7781 9.352 8763 352 9745 3530726 353 1708 353 26B9 353 3669 9.353 465o 35i563o 3536611 353 7591 353 8571 6568546 353 9550 I0.656 7614 6566682 656 575i 6564820 656 3880 656 2958 10.656 2027 656 1097 656 0167 655 0237 655 83o7 655 7377 I0.6556448 655 5519 655 4590 6553661 655 2733 655i8o4 10.65508769.3558126 3559101 3560077 356 io52 356 2027 356 3oo2 9.356 3977 356 4951 356 5925 3566900 356 7873 356 8847 9.3569821 357 0794 357 1767 357 2740 3573713 357 4685 10-65342069.3575658 6549948 654 902 1 654 6547! 654 6239 I0.6545312 6544385 654 3459 6542533 654 1607 654 0681 10-653 9755 653 883o 653 7905 6536980 653 6o55 653 5i3o dif. I' 9.354 o53(> 354 i5i>9 354 2488 354 3467 3S44445 3545424 9.354 6402 354 738o 354 8358 354 9336 355 o3! 3 355 1290 9.355 2267 355 3244 3554221 355 5197 3556174 355 7i5o ■ec. 984 98.4 98.3 984 98.3 98.3 98.3 98.3 98.2 98.3 98.2 98.2 96.3 98.1 96.3 98.1 98.0 98.1 98.0 98.1 98.0 98.0 97.9 98.0 97-9 97-9 97-9 97.8 97.0 97S 97-8 97.8 97-8 97-7 97.7 97-7 97-7 97-7 97.6 97.7 97,6 97.6 97-5 97.6 97-5 97-5 97-5 97.5 97-4 97-4 97.5 97.3 97-4 97.4 97.3 97.3 97.3 97.3 97.3 97.3 eo-taiif. me. 10.648 3o33 6482048 6481064 648008 6479097 6478114 10.647 71 3 1 6476148 647 5i65 647 4i83 647 3201 647 2219 I0.647 1237 647 0255 6469274 6468292 646 73i I 6466331 10.646 53 5o 6464370 646 3389 6462409 646 1429 646 o45o 10,645.9470 645 8491 645 75 1 2 645 6533 645 5555 6454576 co-taof. dif.l" 10.0107005 7053 7100 7147 7194 7242 10.0107289 7336 7384 743 1 7479 7526 10.0107573 7621 7668 7716 7763 781 1 10.0107858 7906 7953 8001 8049 8096 10.0108144 8191 8239 8286 8334 8382 d.1 oo-«m. 10.6453598 10.0108429 645 2620 8477 645 1642 8525 645 o664 8572 644 9687 8620 6448710 8668 10.6447733 10.0108715 6446756 8763 6445779 8811 644 48o3 8859 644 3826 8906 644 2850 8954 10.644 1874 10.0109002 644 0899 9o5o 6439923 9097 643 8948 9145 6437973 9193 6436998 9241 10.643 6023 10.0109289 643 5o49 9336 643 4075 9384 643 3ioo 9432 6432127 9480 643 11 53 9528 10.6430179 10.0109576 642 0306 9624 ^ 643 8233 9672 ' 64a 7260 9720 642 65187 9768 642 53i5 9815 10.6424342 10.0109863 tang. CO sec. 4.7 4.8 4.7 4.7 4.8 4.7 4.7 4.8 4.7 4.8 4.7 4.7 4.8 4.7 4.8 4.7 4.8 4.7 4<8 4,7 4.8 4J& 4.7i 4.8 4.7 4.8 4.7 4.8 4S 4.7 4.8 4.8 4.7 4.8 4.8 4.7 4.8 4.8 4.8 4.7 4.8 4.8 4.8 4.7 4.8 4.8 4.8 4.8 4.7 4-8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.7 4.8 9.9892995 2948 2900 2853 2806 2758 9.9892711 3664 a6i6 3569 a52i 2474 9.9692427 2379 3332 3284 2237 3189 9.9892142 3094 ao47 999 951 904 856 809 761 714 666 618 571 523 475 428 38o 332 285 237 189 i4i 094 046 9.9890998 o9552 I0.652 3i3q|9 652 2208 652 1287 652 o365 65 1 9444 65i 8523 io.65i 7603 65i6682 65i 5762 65 1 4842 65 1 3922 65 1 3oo2 10.65 1 2o83 65 1 ii64 65 1 0245 65o 9326 65o 8407 65o 7489 io.65o657i 65o 5653 65o 4735 65o38i7 65o 3900 65o 1983 io.65o 1066 65o 01 4 649 023 6498316 649 74oo 649 6484 10.649 5568 649 4653 649 3738 649 2822 649 1907 649 0993 10.649 *^7® 648 9164 648 8250 648 7336 648 6422 648 5509 10.648 4595 648 3682 6482769 648 1 857 648 0944 648 oo32 10.6479130 sec. .357 5658 357 663o 357 7602 3578573 357 9545 358o5i6 1.358 1487 358 2458 358 3429 358 4400 358 5370 358 634o .3587310 358 8280 358 9249 3590219 359 1 1 88 3592157 ^.3593126 359 4094 359 5o63 3596031 359 6999 359 7967 ^.359 8935 3599902 3600869 36oi836 360 2803 36o 3770 ).36o 4736 36o 5703 3606669 360 7635 3608600 3609566 >.36i o53i 36i 1496 36 1 2461 36i 3426 36 1 4390 36i 5355 ).36i 63 1 36i 728 36i 8247 36i 9210 362 0174 362 1 1 37 J.362 2100 362 3o63 362 4025 362 4988 362 5950 3626912 >.362 7874 362 8836 362 9797 363 0758 363 1719 363 2680 ).363 364i 97.2 97.2 97.1 97.2 97.1 97.1 97.1 97.1 97.1 97.0 97.0 97.0 97.0 96.9 97.0 96.9 96.9 96.9 96.S ^:? 96.8 96.8 96.8 96.7 96.7 96.7 96.7 96.7 96.6 96.7 96.6 96.6 96.5 !|fc6.6 '96.5 96.5 96.5 96.5 96.4 96.5 96.4 96-4 96.4 96.3 96.4 96.3 96.3 96.3 96.2 96.3 96.2 96.2 96.2 96.2 96.1 96.1 96.1 96.1 96.1 co-tans. co-tang. diCl" ■ec d.1" 10.642 4342 642 3370 642 2398 642 1427 642 0455 64i o484 io.64i o5i3 64 1 7542 64 1 6571 64 1 5600 64 1 463o 64 1 366o io.64i 2690 64i 1720 64 1 0751 6409781 6408812 64o 7843 10.6406874 640 5906 640 4937 6403969 640 3ooi 64o 2o33 10.640 io65 6400098 639 9i3i 6398164 63971 63962 10.639 5264 639 4207 639 333 1 639 2365 639 1 400 6390434 10.6389469 638 85o4 638 7539 638 6574 638 56 10 638 4645 I0.638 368I 638 2717 638 1753 638 0790 637 9826 637 8863 10.637 7900 637 6937 637 5975 6375012 637 4o5o 637 3o88 I0.637 2126 637 1 164 637 o»o3 636 9242 6368281 636 7320 I0.636 6359 10.0109863 991 1 10.0109959 10.0110007 oo55 oio3 io,oiioi5i 0199 0247 0296 o344 ©392 io.oiio44o o488 o536 o584 o632 0680 10.0110729 0777 0825 0873 0921 096c 10.01 1 1018 1066 iii4 1162 1211 1259 lo.oi 1 1 3o7 i356 i4o4 i452 i5oo 1 549 10.0111597 1645 1694 1742 1 791 1839 10.01 11887 1936 1984 2o33 2081 2i3o 10.0112178 2227 2275 2324 2372 2421 TO.OII2469 25i8 2566 261 5 2663 2712 10.01 12761 tang. co-sin. 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.9 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.8 4.9 4.8 4.8 4.8 4.8 4.8 4.9 4.8 4S 4-8 4.9 4.8 4.8 4.9 4-8 4-8 4-8 4.9 4-8 48 4 4 4.9 4.8 4-8 4.9 4.8 4- 4- 4. 4- 4.9 4.8 4.9 4-8 4.9 4.8 4-9 4.8 4.0 4.8 4.9 4.9 9.9890137 0089 9.9890041 9.9889993 9945 9897 9.9889849 9801 9753 9704 9656 9608 9.9889560 9512 9464 9416 9368 9320 9.9889271 9223 9175 9127 9079I 20 10' 5o 4o 3o 20 10 9' 5o 4o 3o 20 10 8' 5o 4o 3o 20 10 7' 5o 4o 3o co4ec 903 1 9.9888982 8934 8886 8838 8789 874 « 9.9888693 8644 8596 8548 85oo 845 1 9.9888403 8355 8.3o6| 8258 8209 8161 9.9888113 8064 8016 7967 7919 7870 9.9887822 7773 7725 7676 7628 7579 9.9887531 7482 7434 7385 7337 7288 9.9887239 d.1' ■IQ. 10 6' 5o 4o 3o 20 10 5' 5o 4o 3o 20 10 4' 5o 40 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 4o 3o 20 10 1' 5o 4o 3o 20 10 0' 102« 770 .il I l*>2 363 5362 363 6522 363 7482 363 8442 9-363 9401 364o36i 364 i32o 364 2279! 364 3235 364 4 f 9-364 51^5 3646ii3 3647071 364 8029 3648986 3649944 9.J05 0901 365 1 858 365 2815 365 3772 365 4728 365 5685 did" 10.64572909,3656641 eo-ain. di£l" me 645 638a 6455476 645 4569 645 3662 645 2756 10.645 i85o 645 0944 645 oo38 6449133 644 82i!8 644 7323 10.6446418 644 55i3 6444609 644 3704 644 2800 644 1896 10-644 0993 6440089 6439186 643 8283 643 7380 643 6477 10-643 5574 643 4672 643 3770 643 2868 643 1966 643 io65 10.643 oi 64 642 9262 642 836 1 642 7461 642 656o 642 566o 10.642 4760 365 7597 365 8553 365 9508 3660464 366 1419 9-366 2374 366 3329 3664283 366 5238 3666192 3667146 9.366 8 KX) 366 9054 367 otx)7 3670960 367 1914 367 2866 9.367 3819 367 4772 367 5724 367 66-6 367 7628 367 858o 9.367 9532 368 o483 368 1 435 368 2386 368 3337 368 4287 9-368 52 3S 3686188 368 7138 368 8088 368 <>o38 368 (>988 9.369 0937 96.1 96-0 96.0 96.0 96-0 95.9 96.0 95.9 95-9 eo-tanf. 95.9 95. 95-8 95.8 95.7 95.8 95.7 95.7 95.7 95.7 95.6 95.7 95.6 95.6 95.6 95.5 95-6 95-5 95.5 95.5 9^.4 95.5 95-4 95.4 95.3 95.3 9U 95a 95.3 95.3 95.2 95.a 95.2 95.2 95-2 95.1 95.a 95.1 95-1 95.0 95.1 95.0 95.0 95.0 95 -o 95 -O 94.9 I0.636 6359 636 53c 63644' 636 3478 636 25 1 8 636 1 558 ■ee. 10.0112761 2809 a858 2907 2955 3o()4 d.l" 10.636 0599 10.01 i3o53 00-taog. diCl" 635 9639 635 8680 635 772 1 635 6762 635 58o4 I0.635 4845 635 3887 635 2929 635 1971 635 ioi4 635oo56 I0.634 9099 6348145 634 7185 6346228 634 5272 634 43 1 5 I0.634 3359 634 24o3 634 1447 634 0492 633 9536 633 858! I0.633 7626 633^)671 633 5717 633 4762 633 38o8 633 2854 10.633 1900 633 0946 632 9993 63a 9<)4o 63a 8086 63a 7 1 34 i0.63a6i8i 632 5228 63a 4276 63a 3324 632 2372 63a 1420 10.632 o468 63i 95i7 63 1 8565 63 1 7614 63 1 6663 63i 57i3 io.63i 4762 63i 38 12 63 1 2862 63i 191 2 63 1 0962 63i 0012 io-63o 9063 tang. 3ioi 3i5c ?'99 0247 3296 10.0113345 3394 3442 3491 3540 3589 10.01 1 3637 3686 3735 3784 3833 388 10.0113930 3979 4028 4077 4126 4175 10.0114224 4273 4322 4371 4420 4469 io.oii45i8 4567 46i6 4665 4714 4763 10.0114812 4861 4910 4959 5oo8 5o57 io.oii5io6 5i55 52o5 5254 53o3 5352 to.oii54oi 545o 55oo 5549 5598 5647 10.0115697 4.8 4.9 4-9 4.8 4-9 e»-tin. 9.9887239 60' 7191 7142 7093 7045 , -1 6996 t? 9-9886947 6899 4.8 4.9 4i 4.9 4.9 4.9 4.8 4.9 4.9 4.9 4-8 4.9 4.9 4.9 4.9 n 4.9 4.9 4-9 4-9 68 5o 6801 6753 6704 9.9886655 6606 6558 65o9 64fio 64 1 1 9-9886363 63i4 6265 6216 6167 6118 9.9886070 6021 5972 5923 5874 / k 5825 7919.9885776 5727 4-9 4.9 4-9 4.9 4-9 4.9 4.9 4.9 4.9 4.9 4-9 4.9 4.9 4.9 CO-lflC 4.9 4-9 4-9 4.9 5.0 4.9 4.9 4.9 4.9 5.0 4.9 4.9 5.0 5678 5629 558r> 553 1 9.988548 5433 5384 5335 5286 5237 9.9885188 5i39 5090 5t>4i 4992 4943 9.9884894 4845 4795 4746 4697 4648 9.9884599 45 5o 45oo 445i 4402 4353 9.9884303 d.l" ■in. 5o 40 3o 20 10 5o 40 3o 20 U) 5o 4o 3(> 20 10 i7' 5o 4o 3<> 20 10 '){)' 5o 40 3o 20 10 5o 4o 3o 20 10 ,54' 5o 40 3o 20 10 .5:v 5o 40 3o 20 10 52 5o 4o 3o 20 10 51' 5o 4o 3o 20 10 .50' 103» 760 LOGARITHMIC SINES, TANGENTS, &C. 237 130 166° tO' 10 20 3o 4o 5o 11/ 10 20 3o 4o 5o 12 10 20 3o 40 5o 13' 10 20 3o 4o 5o 14 10 20 3o 40 5o 15' 10 20 3o 40 5o 16 10 20 3o 4o 5o 17' 10 20 3«) 4«> 5o 18 10 20 3o 4o 5.> 19' 10 20 3o 4o 5o 20' ■in. 9.357 357 357 357 357 357 9-358 358 358 358 358 358 9.358 358 358 358 358 359 9.359 359 359 359 359 359 9.359 359 359 359 36o 36o 9.360 36o 36o 36o 36o 36o 9-36o 36o 36o 36i 36i 36f 9.361 36! 36! 36i 36i 36i 9-36 1 36 1 36i 362 362 362 9.362 362 362 36a 362 362 9.362 5240 61 4o 7040 dif.l" 90.0 90.0 7940J tl. RH3nl 89-9 89.9 8839 9738 0637 1536 2434 3333 423i 5129 6027 6924 7822 8719 9616 o5i3 1409 23c)6 3202 4098 4994 5«90 6785 7680 8575 9470 o365 1259 2f54 3o48 3942 4835 5729 6622 7515 8408 930 1 0193 1086 1078 2870 3762 4653 5544 6436 7327 8217 9108 9998 0889 1779 2668 3558 4448 5337 6226 7ri5 8oo3 8892 89.9 89.6 89-0 89.8 89.8 89-8 89.7 89.8 897 89.7 89.7 89.6 89-7 89.6 89.6 89.6 89.6 89.5 89.5 89.5 89.5 89.5 89.4 89.5 89.4 89.4 89.3 89.4 89.3 89.3 89.3 89.3 89.2 89.3 89.2 89.2 89.2 89.1 89.1 89.2 89.1 89.0 89.1 89.0 89.1 89.0 88.9 89.0 89.0 88.9 88.9 88.9 88.8 88.9 co-sin. dif 1" co-sec. 10.642 4760 642 386o 642 2960 6422060 642 1161 642 0262 1 0.64 1 9363 64 1 8464 64i 7566 6416667 64 1 5769 64! 4871 10.641 3973 641 3076 641 2178 641 1281 641 o384 ■ 6409487 1 0.640 8591 640 7694 640 6798 640 5902 640 5oo6 64o4iio 10.640 32 1 5 640 2320 640 1425 640 o5 3o 639 9635 639 874 r 10.6397846 639 6952 6396058 6395165 6394271 639 3378 10.639 2485 639 1592 639 0699 638 9807 6388914 638 8022 I0.638 7i3o 638 6238 638 5347 638 4456 638 3564 638 2673 10.638 1783 638 0892 638 0002 637 91 1 1 637 8221 637 7332 10.6376442 637 5552 637 4663 637 3774 637 2885 637 1997 10.637 1 1 08 aec. tang. 9.369 0937 369 1886 369 2835 369 3784 369 4733 369 568 1 9.369 6629 369 7577 3698525 369 9473 3700421 370 1 368 9.370 23i5 370 3262 370 4209 370 5 1 56 3706102 370 7048 9.370 7994 370 8940 370 9886 371 o83 371 >777 371 2722 9.371 3667 371 4612 371 5556 371 65oi 371 7445 371 8389 9.371 9333 372 0276 372 1220 372 2 1 63 372 3ro6 372 4o49 9.372 4995 372 5934 372 6877 372 7819 372 8761 372 9703 9.373 0645 .373 1 586 373 2527 373 3468 373 4409 373 535o 9.373 6291 373 723i 3738171 373 91 1 1 374oo5! 374 0991 9.374 1930 374 2870 374 3809 374 4748 374 5686 3746625 9.374 7563 dif.l" 94.9 94.9 94.9 94-9 94.8 94.8 94.8 94.8 94.8 94.8 94-7 94.7 94-7 94-7 94-7 94.6 94.6 94.6 94.6 94.6 94.5 94.6 94.5 94.5 94.5 94.4 94.5 94.4 94.4 94-4 94.3 94.4 94.3 94.3 94.3 94.3 94-2 94-3 94.2 94.2 94.2 94.2 94.1 94.1 94.1 94.1 94.1 94.1 94.0 94.0 94.0 94.0 94.0 93.9 9^.0 93.9 93.9 93.8 93.9 93.8 co-tang. co-tang. dif.l" io.63o 63o 63o 63o 63o 63o io.63o 63o 63o 63o 629 629 10.629 ^629 629 629 629 629 10.629 629 629 628 628 628 10.628 628 628 628 628 628 10.628 627 627 627 627 627 10.627 627 627 627 627 627 10.626 626 626 626 626 626 10.626 626 626 626 625 625 10.625 625 625 625 625 625 10.625 9063 8ii4 7165 6216 5267 4319 3371 2423 1475 0527 9579 8632 7685 6738 5791 4844 3898 295 2006 1060 01 14 916 822 7278 6333 5388 4444 3499 2555 161 1 0667 9724 8780 7837 6894 5951 5oo8 4o66 3 123 2181 1239 0297 9355 84i4 7473 6532 5591 465o 3709 2769 1829 0889 9949 9009 8070 7i3o 6191 5252 43i4 3375 2437 ■ec. 10 10 10 10 10 10 10 10 10 10 tang. 10 0115697 5746 5795 5844 5894 5943 01 1 5992 6042 6091 6i4o 6190 6239 .0116288 6338 6387 6437 6486 6536 .OII6585 6634 6684 6733 6783 6832 .0116882 6931 6981 7o3o 7080 7i3o .0117179 7229 7278 7328 7378 7427 ■0117477 7526 7576 7626 7675 7725 .0117775 7825 7874 7924 7974 8024 ,0118073 8123 8173 8223 8272 8322 .0118372 8422 8473 8522 8572 8621 .0118671 d.l" co-sin. 4.9 4-9 5.0 4-9 4.9 5.0 4.9 4.9 5.0 4-9 4.9 5.0 5.0 49 5.0 4.9 4-9 5.0 4.9 5.0 4-9 5.0 4.9 5.0 4.9 5.0 5.0 4.9 5.0 4.9 5.0 5.0 4.9 5.0 49 5.0 5.0 4-9 5.0 5.0 5-0 4.9 5.0 5.0 5.0 4.9 5.0 5.0 5-0 4-9 5.0 5.0 5.0 5.0 5.0 5.0 4.9 5.0 co-sec. d.1' 9.9884303 50' 4254 5o 42o5 4o 4i56 3o 4106 20 4o57 10 9.9884008 49' 3958 5o 3909 40 386cj 3o 38io 20 3761 10 9.988371248' 366 > 5o 36i3 4o 3563 3o 35i4 20 3464 10 9.988341547' 3366 5o 33i6 4o 3267 3o 3217 20 3i6fc 10 9.988311846' 3069 5o 3019 4o 2970 3o 2920 20 2870 10 9.9882821 45' 2771 5o 2722 4o 2672 3o 2629 20 2573 10 9.9882523 44' 2474 5o 2424 4o 2374 3o 2325 20 2275 10 9.9882225 43' 2175 5o 2126 4o 2076 3o 2026 20 1976 10 9.988192742' 1877 5o 1827 4o 1777 3o 1728 20 1678 10 9.988162841' 1578 5o 1528 4o 1478 3o 1428 20 i379 10 9.9881 329 40' Bin. 1030 W 238 LOGARITHMIC SINES, TANGENTS, &C. 13« 1660 10 90 3u ^o 5o tl' to 20 3o w 10 20 3o 4o ■5o 23 lO ao 3o 4o 5f) •24 lo 30 3o 4o 5fj diCl" 9.36a 88o2 362 9780 363 0668 363 1 556 363 'i444 363 333i 9-363 4210 363 5io6 363 599 363 6880 363 7766 363 8653 9-363 9530 364 0425 364 i3ii 3642196 364 3o82 3643967 9-3644852 364 5737 364 6621 364 75o6 3648390 364 9274 9-365 01 58 365 io42i 365 1925 ^'^. 365 2809 «r1 365 3692 **'*-^ 365 4575 » 9-365 5458 365 634o 365 7222 365 8io5 365 8987! fto' 365 9869; J°-J 9-366 07 5oj««" 88.8 88.8 88-8 88-8 88-7 88.8 88.7 88.7 88.7 88.6 88.7 88.6 88.6 88.6 88.5 88.6 88.5 88.5 88.5 88.4 88.5 88.4 88.4 88.4 88.4 88.3 oiMee. IQ.637 1 108 9.374 7563 10 ao 3o 4o 5o 16 10 20 3o 4o %#o 27 10 20 3o 40 5o 28^ 20 3o 4o 5o 30 3o 4o 5o 88.3 88.3 88-2 88.3 88.3 88.2 366 i632 366 25 1 3 68.1 88.1 366 3394J88; 366 4275 oo'_ 366 5155 ****•*' 9-3666036 3666916 3667796 3668676 3669556 367 0436 9.367 i3i5„,„ 10 3672194 J7-9 10 367 3o73 III 367 3952 III 367 483o III 367 5709 III 9-367 6587 °!r 10 367 7465 ;;;.» — 3678343 Jj^-J 367 9"! S^-? ^^8^:7 88.1 88.0 880 88.0 88-0 88-0 879 87.9 637 0220 636 9332 636 8444 636 7556 6366669 10.636 5781 6364894 636 4007 636 3 r 20 636 2234 636 1 347 I0.636 o46i 635 9575 635 8689 6357804 6356918 635 6o33 I0.635 5 1 48 635 4a63 dicr 374 85oi 374 9439 375 o377 375 i3i5 375 2252 9.375 3190 3754127 3755064 3756001 375 6937 375 7873 9.3758810 375 9746 3760682 376 1617 376 2553 376 3488 9.376 4423 376 5358 635 3379 "^7^ 6293 6352494 3767228 635i6io 3768162 635 0726 376 90 I0.634 9842 9.377 00 368 oo75i 9.368 1 853 CO-«lII. 87.8 6348958 6348075 634 7 1 91 634 63o8 634 5425 I0.634 4542 634 366o 634 2778 634 1895 634 ioi3 634 01 3 I0.633 9250 633 8368 633 7487 633 6606 633 5725 633 4845 I0.633 396.^ €33 3o84 633 2204 633 1 324 633 0444 632 o564 10.632 8685 63a 7806 632 6927 63a 6048 632 5170 63a 4291 diCl" io.63a 34139-3797969 633 2535 3798897 63a i657 379 9826 632 0779 38o 0754 63 1 990a 38o i68a 63i ooaS 38o 2610 io.63i 8i47 9.380 3537 3770964 377 1898 377 2831 377 3765 3774608 9.377 56.51 377 6564 377 7496 377 8429 377 9361 378 0293 9-378 1225 378 2 1 57 378 3o88 378 4oao 3784951 378 588a 9.3786813 378 7743 378 8674 3789604 379 o534 379 1 464 9.379 a394 379 3324 379 4253 379518a 379 61 1 1 379 7040 I eo-tuf. 93.8 93.8 93.8 93.8 93.7 93.8 93.7 93.7 93.7 93 -6 93-6 93.7 93-6 93-6 93.5 93.6 93.5 93.5 93.5 93.5 93.5 93-4 93.4 93.4 93.4 93.4 93.3 93.4 93.3 93.3 93.3 93.2 93.3 93.2 93.2 93.a 93.2 93.1 93.2 93.1 93-1 93.0 93-1 930 93-0 93.0 93.0 93 -o 92.9 92.9 92.9 93.9 92.0 92.8 93.0 93.8 93.8 93.8 93.7 OlMailg. 10.635 2437 10.01 1867 625 1499 ^7^ 635 o56i 877 6a4 9633 883 634 8685 887 634 7748 892 10.624 6810 10.01 1897 624 5873 902 634 4936 907 624 3999 91 3 6a4 3o63 917 6242137 932 10.634 1190 10.01 1937 634 oa§4 932 6239318 937 623 8383 942 623 7447 947 623 65i2 952 ro.623 5577 10-011957 633 4643 962 633 3707 967a 6a3 3773 972a 6a3 1 838 9772 623 0904 9822 10.622 9970 10.0119872 622 9o36 9923 6aa 8102 10-0119972 623 7169 10.01 30033 622 6235 0073 6a a 53o9 01 23 10.62 a 4369 10-0120173 632 3436 0223 622 25o4 0374 62a 1571 o324 622 0639 ^374 621 9707 0424 10.621 8775 10.0120475 621 7843 o525 6216913 0575 621 5980 0626 621 5649 0676 6214118 0726 10.621 3187 10.0120777 621 2257 0827 6a I i326 0877 621 0396 0928 630 9466 0978 620 8536 io.6ao 7606 6ao 6676 620 5747 620 4818 6ao 3889 620 2960 10.620 ao3i 6ao I io3 6300174 6199346 6198318 6197390 10.6196463 1039 10.0121079 1139 1 180 133o I38l i33i 10.01 3 1 383 1 43a 1483 i533 i584 i634 10.0121685 d,l" 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5-0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 5.1 5.0 5.0 5.0 5.0 5.0 5.0 5.1 5.0 5.0 5.0 5.0 5.1 5.0 5.0 5.0 5-1 5.0 5.0 5.1 5-0 5.0 5.1 co-fin. 9.9881 339(40' 1379 5i> 1339 4o 1179 3o 1 1 29 20 1079 "^ 9.988102939' 0979 5o 0929 4o 0879 3o 0829 0779 9.9880729 0679 liiCi" tang. G4».«ec. 5'0 5.0 5 5.0 5.1 5-0 5.0 5-1 5o 5-1 5-0 5 5.0 5-1 5.0 5.1 5.0 5.1 d.l" 0629 0579 0529 6479 9.9880429 0379 0328 0278 0228 0178 9.98801 28 0078 9.9880028 9.9879977 902 9877 9.9879827 9777 9726 9676 9626 9576 9,9879525 9475 9425 9374 9334 9274 9.9879223 9173 9123 9072 9022 8971 9.987892 1 8871 8820 8770 8719 ao 8669 TO 9.9878618 31 8568 5o 85i7 4o 8467 3o 84i6 20 8366 10 9.9878315 30' 20 10 38 5o 40 3o ao ID 37' 5o 40 3o 20 10 36 5o 40 3o 20 10 •35' 5o 40 3o 20 10 34' 5o 40 3o ao 10 3:1 5o 4o 3o 20 10 32' 5o 4o 3o ■in. 1030 76« LOGARITHMIC SINES, TANGENTS, &C. 239 130 I660 Bin. 30' 10 20 3o 4o 5o U' 10 20 3o 4o 5o 32' 10 ao 3o 4o 5o 33 10 20 3o 40 5o 34 H) 20 3o 4o 5o 35' 10 20 3( 40 5o 36 10 20 3o 40 5o 37 iO 20 3o 40 5o •38 10 2tl 3o 40 5o 3) 10 ao 3o 4o 5o 4!)' 9-368 1 853 368 3729 368 36o6 368 4483 368 5359 368 6235 9-368 71 1 1 3687987 368 8863 368 9738 3690613 369 1 488 9.369 2363 369 3238 3694112 3694987 369 586 1 3696735 9.369 7608 3698482 369 9355 370 0229 370 1102 370 1074 9 370 2847 3703719 370 459a 370 5464 370 6336 370 7207 9.370 8079 370 8950 370 982 1 371 0692 371 i563 371 2434 9.371 33o4 371 4174 371 5o44 371 5914 371 6784 371 7653 9.371 8523 371 9392 372 0261 372 ii3o 3721098 372 2867 9-372 3735 372 46o3 372 5471 372 6338 372 7206 372 8073 9.372 8940 372 9807 373 0674 373 i54o 373 2407 373 3273 9.3734139 di£I" ocMin. 87.6 87.7 87.7 87.6 87.6 87.6 87.6 87.6 87.5 87.5 87.5 87.5 87.5 87.4 87.5 87.4 87.4 87.3 87-4 87.3 87-4 87.3 87-2 873 87.2 87.3 87-2 87-2 87.1 87.2 87.! 87.1 87.1 87.1 87-1 87.0 87-0 87-0 87.0 87.0 86.9 87-0 bu.9 86.9 86.9 86.8 86.9 86.8 86-8 86.8. 86.7 86.8 86.7 86.7 86.7 86.7 86.6 86.7 86.6 86.6 diCl" co-sec io.63i 8i47 63i 7271 63 1 6394 63i 55i7 63i 464i 63 1 3765 io.63i 2889 63 1 201 3 63 1 ii37 63 1 0262 63o 9387 63o85i2 io.63o 7637 63o 6762 63o 5888 63o5oi3 63o4i39 63o 3265 io.63o 2399 63o i5i8 63o 0645 6299771 629 8898 629 8026 10.6297153 629628 629 5408 6294536 629 3664 629 2793 ro.629 1921 629 io5o 6290179 628 9308 628 8437 628 7566 10.6286696 628 5826 628 4956 628 4086 6283216 628 2347 10.628 1477 6280608 627 9739 627 8870 627 8002 627 7133 10.627 6265 627 5397 6274529 627 3662 627 2794 627 1927 10.627 1060 6270193 626 9326 626 8460 626 7593 626 6737 io.6a6 586 1 lec. tang. 9.380 3537 38o 4465 38o 5393 38o63i9 380 7246 3808173 9.3809100 38 1 0026 38 1 0952 38i 1878 38 1 2804 38 1 3730 9.381 4655 38 1 558 1 38 r 65o6 38 1 743 1 38 1 8356 38 1 9280 9-382 o2o5 382 1 1 29 382 2o55 382 2977 382 3901 382 4825 9-382 5748 3826671 382 7595 382 8517 382 9440 383 o363 9-383 1285 383 2207 383 3129 383 4o5i 383 4973 383 5894 9-383 6816 383 7737 383 8658 383 9579 384 0499 384 1420 9-384 2 340 384 3260 384 4180 384 5ioo 384 6020 384 6939 9-384 7858 3848777 3849696 385 061 5 385 i534 385 2452 9-385 3370 385 4288 385 5206 385 6x24 385 7041 385 7959 9-385 8876 co-tang. diCl" 92.8 92.7 92.7 92.7 92.7 92.7 92.6 92.6 92.6 92.6 92.6 92.5 92.6 92.5 92.5 92.5 92.4 92.5 93.4 92.4 92.4 92.4 92.4 92.3 92.3 92.4 92.3 92.3 92.3 92.2 92.2 92.2 92.2 92.2 92,1 92.2 92.1 92.1 92.1 92.0 92. T 92.0 92.0 92.0 92.0 92.0 dif.r co-tang. 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 to.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 96463 95535 94608 93681 92754 9 1827 90900 89974 89048 88133 87196 86270 8 5345 84419 8 3494 82569 81644 80720 79795 78871 77947 77023 76099 75175 74252 73329 7 24o5 71483 70560 69637 68715 67793 66871 65949 6 5o27 64io6 6 3i84 6 2263 6i342 60421 59501 5 858o 57660 56740 55820 5 4900 53980 5 3o6i 5 2143 5 1223 5o3o4 49385 48466 4 7548 4663o 45713 44794 43876 42959 42041 41124 taug. sec. 10.0121685 1735 1786 i837 1887 1938 10.0121988 2039 209U 2l4o 2191 2242 10.0123292 2343 2394 3444 3495 2546 10.0133596 2647 2698 2749 2800 285o 10.0122901 2952 3oo3 3o54 3io4 3i55 10.0123206 3257 33o8 3359 3410 3461 IO.OI235l2 3563 36i4 3664 3715 3766 10.0123817 3868 3919 3970 3o22 4073 10.0124124 4175 4226 4277 4328 4379 10.01 24430 4481 4533 4584 4635 4686 10.0124737 eo-aec. d.l" co-«in. O o O O O O o o 5.0 5 5 5 5 5 5. 5 5 5 5 5 5 5 5 5 5. 5. 5 5 5. 5. 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5, 5 5. 5 9.9878315 8265 8214 8i63 8ii3 8062 9.9878012 7961 7910 7860 7809 775b 9.9877708 7657 7606 7556 75o5 7454 9.9877404 7353 73o2 7251 7200 71 5o 9.9877099 704b 6997 6946 6896 6845 9.9876794 6743 6692 6641 6590 6539 9.987648b 6437 6386 6336 6285 6234 9.9876183 6i32 6081 6o3o 5978 5927 9.9875876 5825 5774 5723 5672 5621 9.9875570 5519 5467 5416 5365 53i4 9.9875263 d.1" 30' 5o 40I 3o| 20 10 29' 5o 40 3o 20 10 28' 5o 4o 3o 20 10 27' 5o 40 3o 20 10 26' 5o 40 3o 30 10 25' 5o 4o 3o 20 lO 24' 5g 4o 3o 20 10 23' 5o 4o 3o 20 10 22' 5o 4o 3o ao 10 21' 5o 4o 3o ao 10 20' ■in. 103= 76= t' !*i 240 LOGARITHMIC SINES, TANGENTS, &C. 11KO ieo« 40' lo so 3o 4o 5o 41 10 3o 4c> 5o 42' lO 20 3o 4ci 5o 10 ao 3c 4o 5o 44' to 3o 4<> 5o 4,V II) ao 3t» 4*> 5o ilV r> 3 5 47' lO 50 3o 4o 5t 48' 10 x> 3o 4o 5o 4">' lo ao 3o 4o 5o ■w. 9.373 4 1 3o ■3f\M 30Q3' 373 5870 373 6736 3737601 373 8466 9.373 9331 3740196 374 1000 374 1925 374 2789 374 3653 9.3744517 374 538<» 374 6244 3747107 374 7970. 374 8833 9.374 9696 375 o5d8 375 1420 375 2a83 375 3 1 45 375 4006 9.3754868 375 5730 375 6501 375 7453 375 83 1 3 375 9r74 9.3760034 3760894 376 1755 376 2615 376 3474 376 4334 9.3765194 376 6o53 376 691 2 3767771 37686-30 3769488 9.377 o347 377 l2o5 377 2o63 377 1921 377 3778 377 4636 9.377 549^ 377 635o 377 7207 377 8064 377 8920 377 9777 9.378 o633 378 1489 378 2345 378 320I 378 4o56 3784912 9.378 5767 diCl" 86.6 86.5 86.6 86.5 86.5 o0.3 86.4 86.5 86.4 86.4 86.4 86.3 86.4 86.3 86.3 86.3 86.3 86.2 86.2 86.3 86.2 86.1 86.2 86.2 B6.1 86.1 86.1 86.1 86.0 86.0 86. J 86.0 85.9 86.0 86.0 85-9 85-9 85-9 85-9 85.8 85-9 85.8 85.8 85.8 85.7 85.8 85.7 85.7 85.7 85.7 85.6 85.7 85.6 85.6 85.6 85.6 85.5 85.6 85.5 eo-ioc co-*io. did" 10.626 626 626 626 626 626 10.626 625 625 625 625 1 0.6a 5 625 6*5 6a5 6a 5 6a5 10.625 624 6a4 624 624 6a4 10.624 6a4 624 624 624 624 10.633 623 6a3 623 623 6a3 10.623 623 623 623 6a 3 623 10.623 623 622 62a 622 622 10.622 622 6a a 62 a 622 622 10.621 621 621 6a 1 6a 1 6a 1 10.621 586 1 4i3o 3264 a3o9 i534 06699 |0 8075 7a 11 6347 5483 4620 3756 2803 aoSo 1167 o3o4 9442 858o 77 '7 6855 5994 5iJ2 4270 3409 a548 1687 0826 9966 9106 8a45 7385 6536 5666 4806 3947 3o88 2229 1370 o5i2 9653 8795 7937 7079 6222 5364 4507 365o 2703 1936 1080 0233 9367 85ii 7655 6799 5944 5o88 4a33 •ec tai^. 1.385 8876 385 9793 3860710 386 1627 386 2543 386 3459 .3864376 386 5292 3866207 3867123 386 8o38 386 8954 ,.3869869 387 0784 387 1699 387a6i3 387 3528 3874442 >.387 5356 387 6270 387 7184 3878097 387 901 1 387 9924 >.388 0837 388 i75o 388 2663 388 3575 388 4488 388 54fK> 1.388 63 1 2 388 7224 388 81 36 388 9047 388 9959 389 0870 >.389i78i 389 2692 389 36o2 389 45 1 3 389 5423 3896334 ).389 7244 3898153 3f<9 9o63 389 9973 3900882 390 1791 J.390 2700 3903609 3904518 390 5436 3906335 390 7243 >.39o8i5i 3909059 3909966 391 0874 391 1781 391 2688 >.39i 3595 diCI" 9 90.9 9 9 90.9 90.9 90.9 90.9 90.9 90.8 9«-9 90.8 90.8 90.8 90.7 90.8 90.7 90.7 90.7 diCI" oo-tsng. 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 6 6 10.6 6 6 6 4 1124 40207 39290 3 8373 37457 3 6541 3 5624 34708 33793 3 2877 3 1963 3 io46 3oi3i »2l6 2 83oi 27387 26472 2 5558 2 4644 a 3730 2 2816 2 1903 20989 2 0076 0163 825o 7337 6425 55i2 4600 368e 2776 i864 0953 004 1 09130 08219 o73o8 06398 o 5487 o 4577 o3666 02756 o 1847 of»937 00027 6o9 9ir8 6098209 10.6097300 6096391 6095482 6094574 6093665 6092757 10.609 1849 6090941 6090034 6089(26 6088219 6087312 10.608 64o5 ttLtlg. 'SOU* A.I" 10.0124737 4788 484o 489! £|U£4« 4993 io.oi25o45 5096 5i47 5io8 525o 53oi 10.0125352 54o4 5455 554)6 5558 5609 io.oia566i 5712 5763 58i5 5866 5918 10.0135969 6021 6072 6123 6175 6226 10.0126278 633o 638 6433 6484 6536 10.0126587 6639 6691 6742 6794 6845 10.012689 6949 7000 7o5a 7»o4 7i55 10.01127207 7259 73ii 7362 74i4 7466 10.01 27518 7569 7621 7673 77a5 7777 10.01 a78a9 co-iec. eo-Min. d.V' 9.9875263 5212 5i6o 5109 5o58 5007 9.9874955 49<'4 4853 480V 475o 4699 9.987464^ 459^ 4545 4494 44h 43oi 9.98743.39 4288 4237 4i85 4i34 408 3 9.987403 1 3979 3938 3877 3835 3774 9.9873722 3670 36)9 3567 35i6 3464 9.9873413 336i 3309 3358 3206 3i55 9.9873103 3o5 3of)o 2948 2^96 2845 9.9872793 2741 2689 2638 2586 2534 9.9872489 243] 2379 2327 2275 a233 9.9873171 ■in. •> 4u 3t 30 U) lb' 5() 4o 3o 20 10 17' 5o 4o 3o 20 10 16 5o 4o 3o 20 10 15' 5o 4o 3o 30 10 14' 5o 40 3o 20 10 i:v 5() 4o 3<) 30 10 12' 5o 4o 3o 30 10 II' 5o 4o 3o 20 10 10 103^ 76« LOGARITHMIC SINES, TANGENTS, &C. 241 1 30 I660 Bin. 5l>' 10 20 3o 4o 5() 51' 10 20 3() 40 5o 53 10 2t» 3o 4o 5o 53' lOl 20 3o 40 5() 54 10 20 3o 4o 5o 55' 10 20 3o 4o 5o 56 10 20 3o 4o 5o ■>7 10 20 3o 4o 5o 58' 10 20 3() 40 5(. >{)' 10 20 3o 40 5o 60' 9- 1.378 5767 3786622 378 7476 378 833 f 3789186 379 oo4o .3790894 379 1748 379 3602 379 3455 379 43o8 3795162 .3796015 379 6867 379 7720 3798573 3799425 380 0277 .38o 1129 38o 1981 38o 2832 3So 3684 38o 4535 38o 5386 .38o 6237 3.S0 7088 38o 7938 38o 8789 380 9639 38 1 0489 .38 1 1339 38i 2188 38 1 3o38 38 1 3887 38 1 4736 38 1 5585 38 1 6434 38i 7283 38i 8i3i 38! 8979 38i 9827 382 0675 38a 1 523 382 2370 3823218 382 4o65 3824912 382 5759 .382 66o5 382 7452 382 8298 382 9144 382 9990 383 o836 .383 1682 383 2527 383 3372 383 4218 383 5062 383 5907 .383 6752 dif.l" eo^in. 85.5 85.4 85.5 85.5 85.4 85.4 85.4 85.4 85.3 85.3 85.4 85.3 85.2 85.3 85.3 85.2 85.2 85.2 85.2 85.1 85.2 85.1 85.1 85.1 85.1 85.0 85.1 85.0 85.0 85.0 84.9 85.0 84.9 84-9 84.9 84.9 84.9 84.8 84.8 84.8 84.8 84.8 84.7 84.8 84.7 84.7 84.7 84.6 84.7 84.6 84-6 84-6 84.6 84.6 84.5 84.5 84.6 84.4 84.5 84.5 iitr co-sec. 10.6214233 621 3378 621 2534 621 1669 621 o8i4 6209960 10.6209106 6208352 620 7398 620 6545 620 5692 620 4838 10.6203985 620 3 1 33 620 2280 620 1427 620 0575 6199723 ro.6198871 6198010 6197168 6196316 6195465 6194614 10.619 3763 619 2912 619 2062 619 1211 6190361 6189511 10.6188661 618 7812 6186963 6i86ii3 618 5264 6i844i5 10.618 3566 618 27r7 618 1869 618 1021 6180173 6179325 10.6178477 6177630 6176782 617 5935 617 5o88 617 4241 10.6173395 617 2548 617 1702 6170856 6170010 616 9164 10.616 83i8 616 7473 6166628 6165782 6164938 616 4093 10.616 3248 tansr. 9.391 3595 391 45o2 391 5400 391 63i5 391 7222 3918128 9.391 9034 391 9940 392 0845 392 1 75 1 392 2656 392 356 1 9.392 4466 392 5371 392 6276 392 7180 392 8084 392 898^ 9.393 989 393 0796 393 1700 393 2604 393 35o7 393 44 10 9.393 53i3 3936216 3937118 3938021 393 8923 393 9825 9.394 0727 394 1629 394 253 1 394 3432 394 4334 394 5235 9.3946136 394 7037 394 7937 394 8838 394 9738 395 o638 9.395 1 538 395 2438 395 3338 395 4238 395 5 1 37 395 6o36 9.395 6935 395 7834 395 8733 3959631 396 o53o 396 1428 9.396 2326 3963224 3964121 396 5019 396 5916 3966814 '9.3967711 dif I" aec. 1030 co-tang. 31 90.7 90.7 90.6 90.7 90.6 90.6 90.6 90.5 90.6 90.5 90.5 90.5 90.5 90.5 90.4 90.4 90.5 90.4 90.3 90.4 90.4 90.3 90.3 90.3 90.3 90.2 90.3 90.2 90.2 90.2 90.2 90.2 90.1 90,2 90,1 90.1 90.1 90.0 90.1 90.0 90.0 90.0 90.0 90.0 90.0 89.9 89.9 89.9 89.9 89.9 89.8 89.8 89.8 89.8 89.7 89.8 89.7 89.8 89.7 co-tang. sec. 10.608 64o5'io.oi 27829 6085498 6084591 608 3685 608 2778 6081872 7880 7932 7984 8o36 8088 10.608 0966 10.0128140 dif.r* 6080060 607 91 55 607 8249 607 7344 607 6439 10.607 5534 607 4629 607 3724 607 2820 607 1916 607 101 1 10.607 0T07 606 9294 6o6 83oo 6067396 6066493 606 5590 10.606 4687 6063784 6062882 606 1979 606 1077 6060175 io.6o5 9273 6o5 8371 6o5 7469 6o5 6568 6o5 5666 6o5 4765 io.6o5 3864 6o5 2963 6o5 3o63 6o5 1162 6o5 0262 6o4 9362 10.604 8462 604 7562 6046662 604 5762 604 4863 6043964 10.604 3o65 6042166 6o4 1 267 604 0369 6o3 9470 6o3 8572 io.6o3 7674 6o3 6776 6o3 5879 6034981 6o3 4o84 6o3 3i86 tang. 8192 8244 8296 8348 8399 10.0128451 85o3 8555 8607 8659 871 1 10.0128764 8816 8868 8920 8972 9024 10.0129076 9128 9180 9232 9284 9337 10.0129389 9441 9493 9545 9598 9650 10.0129702 9754 9807 9859 99II 10.0129963 io.oi3ooi6 0068 0120 0173 0225 0277 10.01 3o33o o382 o434 0487 0539 0592 10.01 3o644 0696 0749 0801 o854 0906 d.1" o.6o3 2289 10.0130959 5.1 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.1 5-2 5.2 5.2 5.2 5.2 5.2 5.3 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.2 5.3 5.2 5.2 5.2 5.2 5-3 5.2 5-2 5-2 5.3 5.2 5-2 5.2 co-Bin. 9.9872 1 71 2120 2068 2016 1964 1912 9.9871860 1808 1756 1704 i652 1601 9.9871549 1497 1445 1393 1 341 1289 9.9871236 ii84 Il32 1080 1028 0976 9.9870924 0872 o8ao 0768 0716 o663 1 9.98706 1 1 0559 o5o7 0455 o4o2 o35o 9.9870298 0246 0193 oi4) 0089 ^■3 9.9870037 5.2 5.2 5.3 5.2 5.2 5.3 5.2 5.2 5.3 5.2 5.3 5.2 5.2 5.3 5.2 5.3 5.2 5.3 9.9869984 9932 9880 9827 9775 9723 9.9869670 9618 9566 95i3 9461 9408 9.9869356 9304 925 1 9199 9146 9094 9.9869041 co-sec. d.1 Bin. 10' 5e 40 3o 20 10 9' 5o 4o 3o 20 10 8' 5o 4o 3o 20 10 7/ 5o 4o 3o 20 10 & 5o 4o 3o 20 10 5' 5o 40 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 4o 3o 20 10 1' 5o 4o 3o 20 10 0' T«<» I ItOeARITHMIC SINES, TANGENTl-, &C. IK III I4» 105° 10 '30 ■•Ju 4o 5o 1/ lo 90 So 4o 5o 21 lO 3o 4o 5t) 10 ao 3o 5o 4' 10 ao JO 40 5o 5, 10 3o 4o 5o 6' 10 20 ■JO 4o 5o 7* 10 30 •30 4o 5o 8* 10 20 3o 4o 5o 9' 10 30 3o 4o i5o If dKI" a3B36753 3ft37596 3838440 3^39384 384<>i38 384 twa 9-384 im5 384 3669 38435o3 3044345 3845i88 3846o3o 9.3846873 3847715 3848557 3849399 385 oa4 385io83 9-385 1934 385 '1765 3853607 ■jtizt 4447 385 5288 ft. . 3856139 ^/ 2 2433 10.603 1 537 6020643 601 9748 601 8853 601 7959 601 7064 10.601 6170 601 5376 601 4383 601 3489 601 3595 601 1702 10.601 0809 6009916 6009033 6oo8i3 6007238 6006346 10.600 5453 6004561 6003670 6002778 6001886 6000995 10.6000104 599931 ► 832 me. A.I dif. 1/ 599 5997431 5996541 5995650 10.5994760 599 3870 5992980 5992090 599 i2or 599 o3i I 10.598 9439 5988533 5987644 5986755 5985866 5984978 10.598 4090 598 3201 598 33i3 5981426 5980538 5979650 10.597 8763 taag. 10-0130959 ion 1064 1 1 16 1169 1221 io^i3i274 1327 1379 i432 1484 1 537 io.oi3i59o 1642 1695 1747 1800 i853 10.0131906 1958 2011 2064 2116 2169 IO.Of32232 2275 2327 238o 2433 2486 10.0132539 2591 a644 2697 3750 28o3 10.01 33856 » 2909 3962 3oi4 3067 3l20 10-01 33 1 73 3226 3279 3332 3385 3438 10.01 3349 1 3544 3597 365o 3703 3756 Il 33809 3863 3916 3969 4022 4075 io-oi34i28 co-«jn. 5.2 531 5.2 5.31 5.2 5.3 5.3 5-2 5.3 5,3 5.3 5-3 S2 5.3 5.3 5.3 5.3 5.3 5.2 5.3 5.3 5.2 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.2 5.3 5.3 5.3 5.3 5.3 5.31 5-3 5-3 5.3 5.3 9.9869041 8989 8936 8884 883 8779 9.9866726 8^73 8621 8568 85i6 8463 9.9666410 8358 83f)5 «253 8200 8147 9.966B094 8043 7989 7036 7884 783 1 919667778 7725 7673 7620 7567 75i4 919867461 7409 eo-wc. ^- J 9.9866827 "^ 6774 6721 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5.3 5-3 5-4 5.3 5.3 5.3 5.3 5.3 7356 73o3 725o 7197, 919667 1 44|54' 7091 7o38 6986 6933 6880 60' 5o 4o 3o 30 lo 59' 5o ,40 3o 3f> 10 58' 5o 4o 3o 30 10 57' 5o 40 3o 20 10 .%•' 5c 4o 3o 20 10 55 5o 4o 3o 20 TO d.l' 6668 66i5 656? 9.9866509 6456 64o3 635o 6297 6244 9196661 61 7 6084 6o3i 5978 59? 5 919865872 5o 4o 3o 20 10 .53' 5o 4o 3o 20 ro .52' 5o 4o 3o 20 10 51 5o 4o 3o 20 10 •50 ■ID. IQ40 750 f LOGARITHMIC SINES, TANGENTS, &C. 243 140 165° 111' 10 20 3o 4o 5o II' 10 20 3o 40 5o 12 10 20 3o 4o 5o 13 10 20 3o 4o 5o 14' 10 20 3o 4o 5o 15' 10 20 3o 4o 5o IC 10 20 3o 4o 5o 17' 10 20 3o 4o 5< 18 10 20 3o 4o 5o 19' 10 20 3o 4o 5o 20' sin. 9.3887109 388 794J 388 8777 3889611 389 0444 389 1277 9.389 2111 389 2944 389 3777 389 4609 389 5442 3896274 9.3897106 389 7938 389 8770 3899602 390 0433 390 1265 9.390 2096 390 2927 3903758 390 4588 3905419 390 6249 9.390 7079 3907909 390 8739 390 9669 391 0398 391 1227 9.391 2057 391 2885 391 3714 391 4543 391 5371 391 6200 9.391 7028 391 7856 391 8684 391 95 II 392 0339 392 1 166 9.392 1993 392 2820 392 3647 392 4473 393 53oo 392 6126 9.392 6952 392 7778 392 8604 392 9430 393 0255 393 1080 9.393 1905 393 2730 .393 3555 393 438o 393 5204 393 6028 9.393 6852 diC 1" co-8in. 83-4 83.4 83.4 83.3 83.3 83.4 83.3 83.3 83.2 83.3 83.2 83.3 83.2 83.2 83.2 83.1 83.3 83.1 83.1 83.1 83.0 83.1 83.0 83.0 83.0 83.0 83.0 82.9 82.9 83.0 82.8 82.9 82.9 82.8 82.9 83.8 83.8 83.8 82.7 82.8 82.7 82.7 82.7 82.7 82.6 82.7 82.6 82.6 82.6 82.6 82.6 82.5 82.5 82.5 82.5 82.5 82.5 82.4 82.4 82.4 co-sec tang. 10.611 2891 9.402 1237 6112057 4022124 611 1223 4o2 3oiI 61 1 0389 402 38 6109556 40247^5 6108723 4025671 10.610 7889 9.402 6558 6107056 4027444 6106223 4o2 833o 610 5391 4029216 610 4558 4o3 0102 6103726 4030987 10.610 2894 9.403 1873 610 2062 4o3 2758 6ioi23o 4o3 3643 6100398 4034528 6099567 4o3 54i3 609 8735 4o3 6298 10.609 7904 9-4o3 7182 609 7073 4o3 8067 609 6242 diCI" co-tang. 609 54l2 6094581 6093751 10.6092921 609 2091 609 1261 6090431 608 9602 6088773 10.608 7943 608 71 1 5 608 6286 608 5457 608 4629 6o8 38oo 10 608 2972 608 2144 608 i3i6 6080489 607 9661 607 8834 4o3 8q5i 403 90 3 5 4040719 404 1602 9.404 2486 4o4 3369 4o4 4253 4o4 5i36 4046019 4046901 9.404 7784 4o4 8666 404 9549 4o5o43i 405 i3i3 4o5 2195 9.405 3076 4o5 3958 4o5 4839 4o5 5720 4o5 66oi 4o5 7482 10.607 8007 9.405 8363 6077180I 4059243 di£r' 607 6353 607 5527 6074700 607 3874 10.607 3o48 607 2222 607 1396 6070570 6069745 6060920 10.606 8095 606 7270 6066445 6065620 6063972 10.606 3i48 Bee. 4060134 4o6 ioo4 4o6 t884 406 2764 9.406 3644 4o6 4524 4o6 54o3 4o6 6282 4067161 4o6 8o4o 9.4068919 406 9798 407 0676 407 1 555 606 4796 407 2433 407 33 1 1 9.4074189 co-tang. 88.7 88.7 88.7 88.7 88.6 88.7 88,6 88.6 88.6 88.6 88.5 88.6 88.5 88.5 88.5 88.5 88.5 88.4 88.5 88.4 88.4 88.4 88.3 I 88.4 88.3 88.4 88.3 88.3 88.2 88.3 88.2 88.3 88.2 88.2 88.2 88.1 88.2 88.1 88.1 88.1 88.1 88.1 88.0 88.1 88.0 88.0 88.0 88.0 88.0 87.9 87.9 87.9 87.9 87.9 87.0 87.6 87.9 87.8 87.8 87.8 «ec. 10.597 8763 597 7876 597 6989 597 6102 597 52 1 5 5974329 10.597 3442 597 2556 597 1670 597 0784 5969898 5969013 10.5968127 596 7242 596 6357 596 5472 5964587 596 3702 10.5962818 596 1933 596 1049 596 oi6d 595 9281 595 8398 10.01 34128 4i8i 4234 4288 4341 4394 10.01 34447 45oo 4554 4607 4660 47i3 10.0134767 4820 4873 4927 4980 5o33 10.01 35087 5i4o 5193 5247 53oo 5353 10.595 75 r4| 10.01 35407 595 6631 5460 d.1" co-ain. dif.l" 595 5747 595 4864 595 3981 595 3099 10.595 22 16 595 1 3 34 5950451 5949569 5948687 594 7805 10.5946924 594 6042 5945161 594 4280 5943399 594 25 1 8 10.594 1637 594 0757 593 9876 593 8996 5938116 593 7236 10.593 6356 593 5476 593 4597 5933718 593 2839 593 i960 10.593 1081 593 0202 592 9324 592 8445 592 7567 592 6689 10.592 58ii tang. 55i4 5567 5621 5674 10.0135737 5781 5834 5888 5941 5995 10.01 36048 6102 6i56 6209 6263 63 16 1 0.0 1 36870 6424 6477 653i 6584 6638 10.0136692 6745 6799 6853 6906 6960 10.0137014 7068 7121 7175 7229 7283 10.0137337 5.3 5.3 5.4 5.3 5.3 5.3 5.3 5.4 5.3 5.3 5.4 5.3 5.3 5.4 5.3 5.3 5.4 5.3 5.3 5.4 5.3 5.3 5.4 5.3 5.4 5.3 5.4 5-3 5.3 5.4 5.3 5.4 5.3 5.4 5.3 5.4 5.4 5.3 5.4 5.3 5.4 5.4 5.3 5.4 5.3 5.4 5.4 5.3 5.4 5.4 5.3 5.4 5.4 5.4 5.3 5.4 5.4 5.4 5.4 9.9865872 5819 50' 5o 40 5766 5713 3o 5659 ^o 56o6 10 9.9865553 49' 55oo 5o 5446 5393 5340 5387 9.9865333 5i8o 5l37 5073 5o2o 4967 9.9864913 4860 4807 4753 4700 464-7 9.9864593 4540 4486 4433 4379 4326 9.9864273 4219 4i66 4ll2 ^59 4oo5 9.9863952 3898 3844 379 3737 3684 9.9868630 3576 3523 3469 34i6 3362 9.9863308 3255 320 3i47 3094 3o4o 9.9862986 2982 3879 2825 2771 2717 9.9862668 co-sec. d.1" 4o 3o 20 10 48' 5o 4o 3o 20 10 47' 5o 4o 80 20 10 4G' 5<) 40 80 20 10 45' 5o 4o 80 20 10 44' 5o 4o 3o 20 10 43' 5o 4o 80 20 10 42' 5o 4o 3o 20 10 41' 5o 4o 80 20 10 40' Bill. 1040 750 I 4 !244 LOGARITHMIC SIN£Sf TANGENTS, &C. 14« 165' 120' 10 20 3o 4o 5o mi to 30 4o 5o llji* lO 20 3o 4o ■iJK.1 123' lo 4 ff I 5o 24 lo 20 3o 4b 5o US' 10 ao 4o 5o lO ao 4o 5o •27 lO ao 3o 4o 5o 10 ao '3o 4o 5o W 10 ao 3o 4o 5o 30' 9.3936852 393 7676 3938500 393 93a4 3940147 3940971 9.394 1794 394 3617 3943439 394 4362 3945084 394 5907 9.394 6729 3947551 394 8373 3949194 3950016 395 0837 9.395 i658 395 2479 395 33oo 3954120 3954941 395 5761 9.3956581 395 74oi 3958221 3959041 3959860 396 0679 9396 1499 3962318 39631 36 3963955 3964773 396 5592 9-396 64 «o 3967228 3968046 3968863 3969681 397 0498 9.397 i3i5 397 2 1 32 397 2949 397 3766 397 4582 397 5399 9.397 62 1 5 3977031 397 7847 3978663 397 9478 398 0293 9^398 1 109 398 1924 398 3739 39vH 3553 3984368 3985182 9.398 5996' diCl" 82.4 8a.4 8a. 4 82.3 82.4 82.3 82.3 8a.2 82.3 82.2 82.3 82.2 82.2 82.2 8a. I 8a.a 8a.i 83.1 83.1 83.1 83 .0 83.1 82.0 82.0 82.0 82.0 8a.o 81.9 81.9 82.0 81.9 81.8 81.9 81.8 81.9 81.8 8r.8 81.8 81.7 81.8 81.7 81.7 81.7 81.7 81.7 81.6 81.7 81.6 81.6 81.6 81.6 81.5 81.5 81.6 81.5 81.5 81.4 81.5 81.4 81.4 to-90e. tang. co-tin. dif.l" 10.606 3 1 48 606 2324 606 i5oo 6060676 605*9853 6o5. 0029 10.60582069 6o5 7383 6o5 656i 6055738 6054916 6()5 4093 10.6053271 6o5 2449 6o5 1627 6o5o8o6 6049984 604 9163 10.604 8342 604 752 1 6046700 6045880 604 5o59 604 4239 10.6043419 6042599 604 1779 6040959 6o4 oi4o 6o3 932 1 io.6o3 85oi 6o3 7682 6o3 6864 6o3 6045 6o3 5337 6o3 44o8 io.6o3 3590 6o3 2772 6o3 1954 6o3 11 37 6o3o1i9 602 9502 1 0.603 86S5 6037868 602 7o5i 602 6234 603 5418 6034601 10,602 3785 602 2969 603 3 1 53 60a 1 337 6oao5a2 60 T 9707 10.601 689 T 601 8076 601 7261 601 6447 601 5632 601 48f8 10.601 4oo4 9 1.407 4189 4075067 407 5o44 407 6822 4077699 4078576 .407 9453 408 o33o 4o8 1 207 4o8 2o83 4o8 2959 4o8 3836 >.4o8 47i2 4o8 5588 4o8 6463 4o8 7339 4088214 408 9090 ).4o8 9965 4090840 4091714 409 2589 409 3464 4094338 1.409 52 1 3 4096086 409 6964 4097834 409 8707 4099581 atv ■ec. o 0454 o 1 327 o 2200 o3o73 o3q45 04818 05690 o6563 07435 o83o6 09178 oo5o 0931 1793 2663 3534 44o5 5276 61 46 7017 7887 8757 9627 20497 2 1 366 2 2236 2 3io5 33974 2 4843 2 5712 a658i 87.8 87.7 87.8 87.7 87.7 87.7 87.7 87.7 87.6 87.6 87.7 87.6 87.6 87.5 87.6 87.5 87.6 87.5 87.5 87.4 87.5 87.5 87.4 87.4 87.4 87.4 87.4 87.3 87.4 87.3 87.3 87.3 87.3 87.2 87.3 87.2 87.2 87.3 87.1 87.2 87.2 87.1 87.1 87.1 87.1 87,1 87.1 87.0 87.1 87.0 87.0 87.0 87.0 86.9 87.0 86.9 86.9 86.9 86.9 86.9 60.tftll{» 10 10 10 10 co-tang, did" 10.59a 58 11 592 4933 592 4o56 592 3178 592 23oi 593 1434 10.592 o547 591 0670 591 0793 591 7917 591 7041 591 6i64 10.591 5388 591 44i^ 591 3537 591 2661 591 1786 591 0910 10.591 oo35 5909160 590 8286 5907411 590 6536 5905662 10.5904788110 590 39 1 4J 590 3o4<> 590 2166 590 1293 5900419 10.5899546 5898673 589 78o( 589 6927 589 6o55 5895182 10.5894310 589 3438 589 2565 589 1694 5890822 588 9950 10. 588 9079 588 8208 588 7337 588 64m 588 5595 588 4724 10.588 3854 588 2983 588 2113 588 1 243 588 0373 587 95o3 10.587 8634 587 7764 5876895 587 6026 5875157 587 4288 10.587 3419 .0137337 7390 7444 74q8 7553 7606 ,0137660 77i3 7767 7821 7875 7929 0137983 8o37 8091 8145 d.!" co-Min. c -, 9.9862663 ^•^ 2610 10 10 10 10 10 10 10 10. 0i383o7 836 1 84i5 8469 8523 8577 .01 3863 1 8685 8739 8793 8847 8901 .0138955 9010 9064 9118 9172 9226 01 39280 9335 9389 9443 9497 9551 .0139606 9660 9714 9877 •01 3993 1 .0139986 .oi4oo4o 0094 0149 030.3 .oi4o258 o3i3 o366 0421 0475 o53o oi4o584 tang. co-iec. 5.4 5.4 5.4 5.4 5.4 5.3 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.4 5.5 5.4 5.4 5.4 5.4 5.4 5.5 5.4 5.4 5.4 5.4 5.5 5.4 5.4 5.5 5.4 5.4 U 5.5 5.4 5.4 5.5 5.4 5.5 5.4 5.4 5.5 5.4 5.5 5.4 2556 25o2 3448 2394 9.9862340 3287 aa33 ai79 2125 2071 9.9863017 1963 i855 1801 1747 9.9861693 1639 1585 i53i 1477 1423 9.9861369 i3i5 1261 1307 ii53 9.9861045 0990 ou36 088 0828 0774 9.986079 o665 0611 0557 o5o3 0449 9.9860394 o34(> 0286 023 1 4i\' 5o 4o 3o 20 10 31)' 0177 01 23 9.986 40 3o 20 10 26 5o 4o 3o 20 10 25' 5o 4o 3o 20 10 24' 5o 4o 3o 20 10 23' 5o 4o 3o 20 10 ^' 5o 4o 3o 20 10 21' 5o 4o 3o 20 10 sin. 104^ 750 il ^ Hi ^If! 346 140 LOGARITHMIC SINKS, TANGENTS, &C ■la 40 10 3o 4o 5o 41' 10 20 4o 5o 42 10 2D So 4o 5o 43 3o 4o 5o 44' 10 20 4o 5o 45 10 20 3o 4o 5o 4G 10 ao 3o 4o 5o 47 10 70 3o 4o 5o 48' 10 20 3o 4o 5o 49' 10 9.403 4o3 4o3 4o3 4o3 4o3 9 4o3 4o4 4o4 4o4 4o4 4o4 9.404 4o4 4o4 4o4 4o4 4o4 9.404 10 4o4 ao| 4o5 4o5 4o5 4o5 9.405 4o5 4o5 3c\ 4o5 4o5 4o5 9.405 4o5 4o6 406 4o6 4o6 9.406 406 406 4o6 4o6 406 9.406 406 4o6 407 407 407 9.407 407 407 407 407 407 9.407 407 407 4o8 4o8 4o8 9.408 5o 4554 5350 616J 6967 7771 8575 9378 0182 0985 1788 2591 3394 4196 i^, 66o3 74o6 8207 9009 9811 0612 i4i3 23l4 3oi5 38i6 4617 5417 6217 7017 7817 8617 94f7 0216 1016 i8i5 2614 34i3 4211 5oio 58o8 6607 74o5 8203 9000 9798 0596 1393 aioo 2987 3784 458o 5377 6173 6970 7766 8%\ 9357 01 53 0948 1743 2539 diCl" •o-Rin. 80.5 80.4 80.4 80.4 80.4 80.3 80.4 80.3 80.3 80.3 80.3 80.2 80.3 8o.a 80.2 80.3 80.1 80.2 80.2 80.1 80.1 80.1 80.1 80.1 80.1 80.0 80.0 80.0 80.0 80.0 80.0 79.9 00.0 79.9 79.9 79-9 79.8 79.9 79.8 79.9 79.8 79-8 79-7 79-8 79.8 79.7 79-7 79-7 79-7 79-6 79-7 79-6 79.7 79.6 79-5 79.6 79.6 79.5 79-5 79.6 of^tee* 165® twif. diCI dif. I" 10.596 5446 5964641 596 3837 5963033 596 2229 596 1425 10.5960622 5959818 5959015 5958212 595 7409 5956606 10.5955804 595 5ooi 5954199 595 3397 595 2594 595 1793 '0.595 0991 5950189 594 9388 594 8587 594 7786 594 6985 10.5946184 594 5383 594 4583 594 3783 594 2983 5942183 10.594 1 383 594 ()583 593 9784 593 8984 5938185 593 7386 10.5936587 593 5789 5934990 5934192 593 3393 593 2595 10.593 1797 593 1000 593 020a 59a 94o4 592 8607 59a 7810 10.592 70 1 3 5926216 592 5420 592 4623 59a 3827 592 3o3o 10.592 2234 59a i43o 59a 0643 591 9847 591 oo5a 591 8257 10.591 7461 ■ec. 9.4 « 7 84a 5 4179284 41.80144 418 ioo3 4181862 4182721 9.418 358o 418 4438 418 5297 4i86i55 4187013 4187871 9.4188729 4189587I 41904451 419 i3o2 4I92I59 4193017 9.4193874 4194730 4195587 4196444 4i9 73«x) 4198156 9.4199013 4199869 420 0724 420 i58<) 420 2436 4203291 9.4204146 420 5ooi 420 5856 4206711 4207566 420 84'o 9.420 9275 421 0129 4a I 0983 4a I 1837 421 2691 421 3544 9.421 4398 4ai 5a5i 4a I 61 o4 421 6957 4ai 7810 °^-:5 4a I 8663 ^^'^ 9.421 95 1 5 42 a o368 4aa 1220 4a a 2072 422 2924 4aa 3776 9.42a 4628 422 5480 42 a 633 1 4aa 718a 4a a 8o34 42a 8885 9.42 a 9735 85-9 86.0 85.9 85.9 85.9 85.9 85.8 85.9 85.8 85.8 85.8 85.8 85.8 85.8 85-7 85-7 85.8 85.7 85.6 85.7 85.7 85-6 856 85-7 856 855 85.6 85.6 85.5 85.5 85.5 85.5 eo-tuif. 85.5 85.5 85.4 855 85-4 85.4 85.4 85.4 85.3 85 4 85.3 85-3 85.3 85.3 85.2 85-3 85.2 85.a 85.2 85.2 85.2 85.2 85.1 85.1 85.a 85.1 85.0 ro.58a i575 58a 0716 58 1 9856 58 1 8997 58i 8i38 58 1 7279 10. 58 1 6420 58 1 5562 58 1 47o3 58 1 3845 58 1 2987 58i 2129 io.58r 1271 58f o4i3 5809555 5808698 5807841 5806983 10.5806126 58o 5270 58o44i3 58o3556 58o 2700 58o r844 ScC* 10.0143871 3926 3981 4o36 4091 4i47 10.0144202 4257 43i2 4367 4422 4478 10.0144533 4588 4643 4IS 4809 10.0144865 4920 4975 5c)3o 5o86 5i4r d.l" 10.580 0987J 1 0.0145 1 ( co-tan$. did" 58ooi3i 579 9276 579 8420 579 7564 5796709 10.579 5854 5794999 5794144 579 3289 579 2434 579 1 58o 10.5790725 578987 578 9017 5788163 578 7309 5786456 10.578 56o2 578 4749 578 3896 578 3o43 5782100 578 i337 10.5780485 577 9632 577 8780 577 7928 577 7076 577 C224 10.577 5372 577 4520 5773669 577 2818 577 1966 577 iii5 10.5770265 52 53o7 5363 5418 5474 10.0145529 5584 564o 5695 575 r 58o6 10.0145862 5917 5973 6028 6084 6i3 1 0.0146 1 9 6a5i 63o6 636a 6417 6473 10.0146529 6584 664o 6695 6751 6807 10.0146862 6918 6974 7o3o 7085 7141 10.0147197 tang. j co-flec. 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5. 5. 5. .5 5 .5 .5 .6 .5 .5 .5 .5 .5 ,6 .5 5 .5 .6 5 .5 .6 .5 .5 .5 .6 .5 6 .5 .5 ,6 .5 .6 .5 5 6 .5 6 .5 6 .5 6 .5 co-Bin. 9.9856129 6074 6019 5964 5909 5853 9.9855798 5743 5688 5633 5578 5522 9.9855467 5412 5357 53oi 5246 5191 9.9855135 5o8o 5o25 4970 4914 4859 9.9854803 4748 4693 4637 4582 4526 9.9854471 44i6 d.r 436o 43o5 4249 4194 9.9854138 4o83 4027 3972 3916 386 1 9.9853805 3749 3694 3638 3583 3527 9.985347 T 34i6 336o 33o5 324 3i 9.9853138 3o82 3026 2970 3915 2859 9.9852803 •10. 20' 5o 40 3o ao 10 19 5o 4o 3() 20 10 18' 5o 4o 3o 20 10 17' 5o 40 3o 20 10 16' 5o 4o 3o 20 10 15' 5o 4o 3o 20 10 14' 5o 40 3o 20 10 13' 5o 4o 3d 20 10 12' 5o 4o 3o 20 10 11' 5o 4o 3o 20 10 10 1040 750 LOGARITHMIC SINES, TANGENTS, &C. 247 140 165° 150 10 20 3o 40 5o ^1 10 20 3o 40 5o 52' 10 20 3o 4o 5o 53 10 20 3o 4o 5o 54 10 20 3o 4o 5o 55' 10 20 3o 4o 5o 56 10 20 3o 4o 5o 57' 10 20 3o 4o 5o 58 10 20 3o 4o 5o 59' 10 20 3o 4o 5o 6)' Bin. ).4o8 2539 408 3334 4084128 4o8 4923 408 5717 4o8 65i2 >.4o8 73o6 4088100 408 8894 4089688 4090481 409 1275 (.409 2068 409 2861 409 3654 409 4447 409 5239 4096032 1.409 6824 4097616 409 84o8 409 9200 409 9992 4 >-4 4 4 4 4 4 }-4 4 4 4 4 4 >.4 4 4 4 4 4 >-4 4 4 4 4 4 1-4 4 4 4 4 4 ••4 4 4 4 4 4 1-4 100783 10 1575 10 2366 io3i57 to 3948 104739 ro 5529 10 6320 10 7110 107900 108690 I o 9480 1 1 0270 r I 1059 I I 1849 f I 2638 1 1 3427 114216 II 5oo5 1 1 5793 116582 1 1 7370 fi8i58 1 1 8946 1 1 9734 12 o522 12 1 309 I 2 2097 122884 12 3671 12 4458 12 5245 i2 6o3i 12 6818 127604 12 8390 129176 129962 diCl" 79.5 79*4 79.5 79-4 79.5 79-4 79-4 79-4 79-4 79.3 79-4 79.3 79.3 79.3 79.3 79.2 79.3 79.2 79.2 79.2 79.2 79.2 79.1 79.2 79.1 79.1 79.1 79.1 79.0 79.1 790 79-0 79.0 79.0 79.0 78-9 79.0 789 789 78-9 789 78-8 78.9 78.8 78.8 78.8 78.8 78.8 78.7 78.8 78.7 78.7 78.7 78.7 78.6 78.7 78.6 78.6 78.6 78.6 co-ain. dif. I co-sec. 10.591 7461 591 6666 591 5872 591 5077 591 4283 591 3488 10.591 2694 591 1900 591 iro6 591 o3i2 5909519 590 8725 10.5907932 5907139 590 6346 590 5553 5904761 5903968 10.5903176 590 2384 590 1592 5900800 590 0008 5890217 10.5890425 589 7634 589 6843 5896052 589 5261 589 447 f 10.589.3680 589 2890 589 2100 589 1 3 10 5890520 588 9730 10.5888941 588 8i5i 588 7362 588 6573 588 5784 588 4995 10.588 4207 588 3418 588 263o 588 1842 588 io54 588 0266 10.587 0478 5878691 587 7903 587 71 16 587 6329 587 5542 10.5874755 587 3969 5873182 587 2396 587 1610 587 0824 10.587 oo38 sec. tfUlg, 9.422 9735 423 o586 423 1437 423 2287 423 3 1 37 423 3988 9.423 4838 423 5687 423 6537 423 7387 423 8236 423 9085 9.423 9935 424 0784 424 i632 424 2481 424 333o 4244178 9.424 5026 424 5874 4246722 424 7570 4248418 424 9266 9.425 01 1 3 425 0960 425 1807 425 2654 425 35oi 425 4348 9.425 5194 425 6o4i 425 6887 425 7733 425 8579 425 9425 9.4260271 426 II 16 426 1962 426 2807 426 3652 426 4497 9.426 534 4266187 4267031 426 7875 4268720 426 9564 9.427 o4o8 427 1252 427 2095 427 2939 427 3782 427 4626 9.427 5469 4276312 4277155 427 7997 427 884o 42-' 9682 9.428 o525 dif.l' co-tang. 85.1 85.1 85.0 85.0 85.1 85.0 84.9 85.0 85.0 84-9 84.9 85.0 84.9 84.8 84.9 84.9 84-8 84.8 84.8 848 84-8 84.8 84.8 84.7 84.7 84-7 84.7 84-7 84.7 84.6 84.7 84.6 84.6 84.6 84.6 84.6 84.5 84.6 84.5 84.5 84.5 84.5 84.5 84.4 84.4 84.5 84.4 84.4 84.4 84.3 84-4 843 84.4 84.3 84.3 84.3 84.2 84.3 84.2 84.3 co-tang. diCi" 10.5770265 5769414 576 8563 5767713 576 6863 5766012 10.5765162 5764313 576 3463 576 26 1 3 576 1764 5760915 10.5760065 5759216 575 8368 575 75i 575 6676 575 5822 10.575 4974 575 4126 5753278 575 2430 575 1 582 575 0734 10.574 9887 574 9040 5748193 5747346 574 6499 574 5652 10.574 4806 574 3959 574 3ii3 574 2267 574 1421 574 0575 10.573 9729 573 8884 573 8o38 573 7 1 93 573 6348 573 55o3 10.573 4658 573 38 1 3 573 2969 573 2125 573 1280 573 o436 10.572 9592 572 8748 572 7905 572 7061 572 6218 572 5374 10.572 453i 572 3688 672 a845 572 2oo3 572 1 160 572 o3i8 10.571 9475 sec. 10 10 ID 10 10 10 10 10 10 10 10 10 01 47 1 97 7253 73o8 7364 7420 7476 0147532 7587 7643 7699 7755 781 1 0147867 7923 797 8o3 8090 8i46 .0148202 8258 83i4 8370 8426 8482 .0148538 8594 8650 8706 8762 8819 .0148875 8931 8987 9043 .0149211 9268 9324 9380 9436 9492 .0149548 9605 9661 9717 9773 9830 ,0149886 9942 0149999 .01 5oo55 OlII 0168 ,01 50224 0280 o337 0393 0449 o5o6 .oi5o562 d.l" 5.6 5.5 5.6 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.5 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.7 5.6 5.6 5.6 5.6 5.6 5.6 5.6 5.7 5.6 5.6 5.6 5.6 5.6 5.7 5.6 5.6 5.6 5.7 5.6 5.6 5.7 5.6 5.6 5.7 5.6 5.6 5.7 5.6 5.6 5.7 5.6 tang. co-sec co-Bin. 9.9852803 2747 2692 2636 258o 2524 9.9852468 24i3 2357 23oi 3245 2189 9.9852133 2077 2021 1965 1910 1 854 9.9851798 1742 1686 i63o 1 574 i5i8 9.9851462 i4o6 i35o 1294 1238 1181 9.9851125 1069 ioi3 0957 0901 0845 9.9850789 073? 0676 0620 o564 o5o8 9.9850452 0395 0339 0283 0227 0170 9.9850114 oo58 9.9850001 9.9849945 9889 9832 9.9849776 9720 9663 9607 9551 9494 9.9849438 10' 5o 4o 3o 20 10 9' 5o 4o 3o 20 10 8' 5o 4o 3o 20 10 7' 5o 4o 3o 20 10 6' 5o 4o 3o 20 10 5' 5o 4o 3o 20 10 4' 5o 4o 3o 20 10 3' 5o 4o 3o 20 10 2' 5o 40 3o 20 10 I' 5o 4o 3o 20 10 0' d.l Bin. 1040 730 I ill «48 LOGARITHMIC SINES, TANGENTS, &C. 150 164° Silla o I a 3 4 5 6 7 8 9 to II [^ i3 i4 i5 16 17 18 *9 ao 21 ai aS 26 37 a8 39 3o 3i 3a 33 34 35 36|94a9 43o 43o 37 38 39 4o 4i 42 43 44 45 46 4? 48 49 5o 5i 5ai 53 54 55 56 57 58 59 60 9.41a 4i3 4i3 4i4 4i4 4i5 9-4 1 5 4i6 416 417 417 4i8 9-4 18 419 419 430 4ao 4ao 9.421 431 433 423 423 42I 9.424 4a4 425 4a5 425 436 9.426 427 427 428 428 429 43o 43 1 43i 9-432 432 433 433 434 434 9-435 435 435 436 436 437 9437 438 438 439 439 439 9.440 9962 4674 938 r 4o8a 8778 3468 8i52 2832 75o6 2174 6837 1495 6i48 0795 5436 0073 4704 o33o 3950 8566 3176 7780 238o 6974 r563 6i47 0726 5299 9867 443o 8988 354 8089 263 1 7169 1701 6228 0750 5267 9779 4286 8788 3285 7777 2264 6746 I3a3 5694 0161 4623 9080 3533 7980 2422 6859 1292 5719 0143 456o 8973 338i did" 78.53 78.45 78.35 78.27 78.17 78.07 78.00 77.00 77.80 77.72 77-63 77.55 77-45 77.35 77.28 77.18 77- 10 77.00 76.93 76.83 76.73 76.67 76.57 76.48 76.40 76.32 76.2 a 76.13 76.05 75.97 75.88 75.80 75.70 75.63 75.53 75.45 75-37 75-28 75.20 75.12 75 03 74-95 74-87 74-78 74-70 74.62 74-52 74.45 74-37 74.28 74- 20 74- « 3 74-03 73.95 73.88 73.78 73.72 73.63 73.55 73.47 ooHi'eCa tang. eo-sin. ditl" 10.587 oo38 586 5326 5860619 585 5918 585 1222 584653a I0.584 i848 583 7168 583 2494 582 7826 58a 3i63 58 1 85o5 io.58i 3852 58o 9205 58o 4564 5799927 579 5296 570 0670 10.578 6o5o 578 1434 577 6824 577 2220 576 7620 5763026 10.575 8437 575 3853 574 9274 574 4701 5740133 573 5570 10.573 1012 572 6459 572 191 1 571 7J69 571 283i 570 8299 10.570 3772 5699250 5694733 5690231 568 5714 568 1 213 10.5676715 567 2223 566 7736 566 3254 565 8777 565 43o6 10.5649839 564 5377 564 0930 563 6468 563 3030 562 7578 10.562 3i4i 56i 8708 56i 4281 560 0858 56o ^44o 56o 1027 10.5596619 9.428 428 429 429 43o 43o 9.43 r 43 1 432 432 433 433 9.434 434 435 435 436 436 9-437 437 438 438 439 439 9.440 440 44i 44i 442 442 9-442 443 443 444 444 44'y 9445 446 446 447 447 448 9-448 449 449 45o 45o 45r 9-45 1 452 452 453 453 454 9-454 455 455 456 456 457 9-457 o525 dif.l" 5575 0621 566i 0697 5727 0753 5773 0789 5799 0804 58o5 0800 5791 0776 5757 0733 5704 0670 563 1 o587 5538 o485 5426 o363 5295 0222 5i45 0062 4o75 9883 4786 9685 4579 9468 435a 9332 4107 8978 3843 8704 356 1 84i3 3260 8102 2940 7774 2602 7427 2246 7061 1872 6678 1479 6376 1069 5857 064 1 5430 0194 4964 84.17 84.10 84.00 83.93 83.83 83.77 83.67 83.6o 83.5o 83.43 83.35 83.25 83.18 83.08 83.02 82.93 82.85 82.77 82.68 82.60 82.52 82.45 82.35 82.38 82.20 83.13 82.05 81.95 81.88 81.80 81.72 81.65 81.57 81.48 81.40 81.33 81.25 81.18 81.08 81.02 80.95 80.87 80.78 80.70 80.63 80.57 80.47 80.42 80.32 80.25 80.18 80.10 80.02 7995 79.88 79.80 79-73 79-65 79-57 79.50 CO- tang. ■ec 10.571 9475 571 4425 570 9379 570 4339 569 93o3 569 4273 10. 568 9247 5()8 4227 567 92 1 1 567 4201 5669196 5664195 I0.565 9300 5654209 5649224 564 4243 563 9267 563 4396 10.563 9330 562 4369 wtc co-tang. dif. I" 56 1 4463 5609515 5604574 10.559 9637 559 47o5 558 9778 558 4855 557 9938 557 ^025 10.557 0117 556 5214 556o3i5 555 542 1 555 o532 554 5648 10.554 0768 553 5893 553 1022 5526157 552 1296 55 1 6439 10.55I i587 55o 6740 55o 1898 5497060 549 22-26 548 7398 10.548 2573 547 7754 547 2939 5468128 546 3322 545 8521 10.545 3734 5448931 5444143 543 9359 543 458o 5429806 10.542 5o36 10.01 5 o562 01 5 0901 01 5 1240 01 5 i58o oi5 1919 oi5 2260 10.01 5 2600 oi5 29411C oi5 3283^ 01 5 3625 01 5 3< 0154^10 1 0.01 5 4653 d.l" 0154996 01 5 5340 01 5 5684 0156029 01 5 6374 10.015671 015706 56i 94i3 oi5 74ii 542 5o36 Umg. I 01 5 7758 oi5 8io5 01 5 8452 fo.oi588oo 0159148 0159497 0159846 016 0195 0160545 10.016 0895 016 1245 016 1596 016 1948 0162209 016 3652 10.016 3oo4 0163357 016 3710 or6 4o64 016 4418 0164773 10.016 5ia8 016 5483 016 5839 0166195 oi6655i 0166908 10.0167265 016 7623 016 7981 0168339 0168698 016 9o58 10.0169417 0169777 oi7oi38 0170499 0170860 017 1222 10.017 1 584 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5, 5. 5. 5 5. 5 5 5. 5 5. 5. 5. 5. 5. 5. 5. 5 5. 5. 6 5 6 6. 6 6 6 6. CO-MC. .65 .65 •67 65 .68 .67 .68 .70 .70 .70 72 .72 .72 73 .73 .75 .75 -75 .77 '-77 .78 .78 .78 .80 .80 .82 .82 .82 .83 .83 .83 .85 -87 .85 .88 .87 88 88 .90 ,90 92 92 92 93 93 93 95 95 97 97 97 98 co-sin. 00 .98 00 02 .02 ,02 o3 o3 9984 984 984 984 984 984 9.984 984 984 984 984 984 9.984 984 984 984 984 984 9.984 984 984 984 984 984 9-984 984 984 984 983 983 9.983 b83 983 983 983 983 9.983 983 983 983 083 983 983 983 983 983 983 9.983 983 983 983 983 983 9.983 983 982 982 982 982 9.982 9438 9^)99 8760 8420 8081 7740 74f)o 7059 6717 6375 5 60 5b 57 56 55 54 53 53 d,l" 6o33 5690 5347 5<)o4 4660 43 1 6 3971 3626 3281 2o35 2589 2242 1895 i548 1200 o852 o5o3 01 54 9805 9455 9105 8755 84o4 8o53 7701 7348 6996 6643 6290 5936 5582 5227 4872 45i7 4i6t 38()5 3449 3o9^ 2735 2377 2019 1661 i3o2 0942 o583 0393 9862 9501 of4o 8778 84i6 •m. 5o 49 A^ 4l 46 45 44 43 42 4i 4o 38 37 36 35 34 33 3? 3i 3i. 29 28 27 26 25 »4 23 22 21 20 18 17 16 i5 i4 i3 12 1 1 10 1050 740 LOGARITHMIC SINES, TANGENTS, &C. 249 I60 I630 4 5 6 7 8 9 10 u 12 i3 14 i5 16 17 18 19 20 21 22 23 24 25 26 37 28 29 3o 3i 32 33 M 35 36 37 3S 39 4o 4i 42 43 44 45 46 47 48 i9 5o 5r 52 53 54 55 56 57 58 60 Bin. 9.440 44o 44i 44i 442 442 9-442 443 443 444 444 445 9-445 446 446 446 447 447 9-448 448 449 449 449 45o 9.450 45 [ 45i 452 452 452 9-453 453 454 454 455 455 9-455 456 456 457 457 458 9-458 458 459 459 46o 460 9460 461 46i 462 462 463 9-463 463 464 464 465 465 9465 338 1 7784 2182 6576 oo65 5349 9728 4io3 8472 2837 7197 i553 5904 o25o 4591 8927 3259 7586 1909 6237 o54o 4849 9t53 dif. I' 345: 7747 2037 6322 o6o3 4879 9i5i 34 18 7681 1939 6192 044 1 4686 8936 3i6r 7393 1618 584o oo58 4271 848o 2684 6884 1079 5270 9456 3638 7816 1989 6r58 o323 4483 8639 2790 6938 1081 5319 9353 73.38 73.3o 73.23 73.15 73.07 72.98 72.92 72.82 72.75 72.67 72,60 72.52 72.43 72.35 72.27 72.20 72.12 72.05 71-97 71.88 71.82 71.73 71.65 71.58 71.50 71.42 71.35 71.27 71.20 71.12 7i.o5 70.97 70.88 70.82 70.75 70.67 70.58 70.52 70.43 70.37 70. 3o 70.22 70. 1 5 70.07 70.00 69.Q2 69.85 69.77 69.70 69.63 69.55 69.48 69.42 69.33 69.27 69.18 69.13 69.05 68.97 68.90 co-sec. co-Bin. dif.l" 10.5596619 559 2216 5587818 558 3424 557 9035 557 4651 10.557 0272 556 5897 556 1528 555 7i63 555 2803 554 8447 10.554 4o' 553 O75o 553 5409 553 1073 5526741 552 2414 10.551 8091 55 1 3773 55o 9460 55o 5i5i 55o 0847 5496548 10.549 2253 548 7963 548 3678 547 9397 5475121 547 0849 10.5466582 546 23 19 545 8061 545 38o8 544 9559 544 53i4 10.544 1074 543 6830 543 2608 542 8382 5424160 541 9942 10.541 5729 54i i52o 540 73 r 6 54o 3 1 16 5398921 5394730 10.539 o544 538 6362 5382184 537 80 1 1 537 3842 536 9677 I0.536 55I7 536 i36i 535 7210 535 3062 5348919 5344781 10.534 0647 tang. ■ec. 9.457 4964 457 973o 458 4491 458 9248 4594001 459 8749 9.460 3492 460 8232 461 2967 46 1 7697 462 2423 462 7145 9-463 1 863 463 6576 464 1285 464 5990 465 0690 465 5386 9.466 0078 466 4765 466 9448 4674127 467 8802 468 3473 ?.468 8i39 469 2801 469 7459 470 21 12 470 6762 471 1407 ).47i 6o48 472 o685 4725318 472 9947 473 4572 473 9192 ).474 38o8 4748421 475 3029 475 7633 476 2233 476 6829 ).477 1421 4776009 478 ©592 4785172 478 9748 4794319 1.479 8887 48o345£ 4808011 48 1 2566 4817118 482 1666 .4826210 483 0750 483 5286 4839818 484 4346 484 8870 •485 3390 dif. I" 79.43 79.35 79.28 79.22 7913 79-05 79.00 78.92 78.83 78.77 78.70 78.63 78.55 78.48 78.42 78.33 78.27 78.20 78.12 78.05 77-98 77 77 77-77 77.70 77-63 77-55 77.50 77-42 77.35 77-28 77.22 77-15 7708 77-00 7693 76-88 76.80 76-73 76.67 76 60 76.53 76-47 76.38 76.33 76.27 76.18 76.13 76.07 76.00 75.92 75.87 75.80 75.73 75-67 75.60 75.53 75-47 75.40 75.33 CO- tang. 10 10 10 10 10 10 co-tang. 10 IO60 diti" 32 10 10 10 10 .542 5o36 542 0270 541 5509 54i 0752 5405999 540 1331 ,5396508 539 1768 538 7033 538 23o3 537 7577 537 2855 .5368137 536 3424 535 8715 5354010 5349310 5344614 .533 9922 533 5235 533o552 532 5873 532 1198 53i 6527 .53i 1861 5307199 53o254i 529 7888 529 3238 528 8593 528 3o52 5279315 527 4682 527 oo53 526 5428 526 0808 .5256192 525 i579 5246971 524 2367 523 7767 523 3171 5228579 522 3991 521 9408 521 4828 521 0252 52o568i .520 iii3 5196549 519 1989 5187434 5r8 2882 5178334 .5173790 5169250 5i647i4 5160182 5i5 5654 5i5 n3o .5i466io sec d. 1" 10.017 i584'g 017 1 946 g 017 2^09 g 017 2672 g 017 3o36^ o / it). 017 34oO|g 10.017 3764 g OI7 4l29;g OI74494U' oi7 486ojg 017 5226jg tang. 017 5592 10.017 5959 0176326 0176694 017 7062 Ot7 743i 0177799 10.0178169 017 8538 0178908 0179279 017 9649 0180021 10.018 0392 018 0764 018 ii37 018 i5io 018 i883 018 3256 10.018 363o oi8 3oo5 018 338o 018 3755 oi84i3o 018 45o6 10.018 4883 018 5260 018 5637 0186014 0186392 0186771 10.0187150 018 7529 0187909 0188289 0188669 0189050 10.0189431 0189813 0190195 0190577 ,0190960 019 1 343 10.019 1727 0192111 019 2495 019 2880 0193265 019 365 1 10.0194037 .o3 .o5 .o5 .07 -07 .07 .08 .08 o o o 2 2 co-8in. 6 6 6 6 6, 6 6, 6, 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6. 6 6 6. 6 6 6 6 6 6 6 6, 6, co-«ec. 7 .20 .18 .20 23 23 22 22 23 25 .25 -25 .25 .27 .28 ,28 ,28 .28 ,3o .32 .32 32 33 33 33 35 35 37 37 37 38 .38 .40 .40 ,4o .42 .42 43 43 d.1' 9.982 982 982 982 982 982 9.982 982 982 982 982 982 9.982 982 982 982 982 982 9.982 982 982 982 982 981 9.981 981 981 981 981 981 9.981 981 981 981 981 981 9.981 981 981 981 981 981 9.981 981 981 981 981 981 9.981 981 980 980 980 980 9.980 980 980 980 980 980 9.980 84i6 8o54 7691 7328 6964 6600 6236 5871 55o6 5i4o 4774 4408 4o4i 3674 33o6 2938 2569 2201 i83i 1462 1093 0721 o35i 9979 9608 9236 8863 8490 8117 7744 7370 6995 6630 6345 587<:' 5494 5ll7 4740 4363 3986 36o8 3229 285o 2471 2091 1711 i33i 0950 0569 0187 9805 9423 9040 8657 8273 7889 75o5 7120 6735 6349 5963 60 59 58 57 56 55 54 53 52 5i 5o 4 4 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 3i 3o 39 28 27 26 25 24 23 22 21 20 19 18 17 16 i5 i4 i3 13 II 10 9 8 7 6 5 4 8in. 73» ; Iiwi I 250 LOGARITHMIC SINES, TANOEWTS, <&C. 110 1 2 3 4 •in. die 1 " o 9.465 9353 Lo g2 ■' 4oo 3483" £q' 467 5848|S„ 467 99^>^-^a %468 4o6o|?2f 8 - 9 10 12 i3 14 i5 16 '>7 18 19 Ho *ii aa a3 24 a5 26 27 38 67.< 67.85 67.77 2 3f i34 35 469 "73|^-^^ 47oo46i|52-^^ 47t»4548S-'? 9.470 863ig!'"^ 47' ^710 d'T: 47 » 6785. 472 0856 472 4921 IL'i 472 8985|?ZL 9.473 3o:43 2'?:; 473 7097ft;' /« 474 I i46^?^i^ ^';i^ 67.43 474 51921^ ^'^ 47492342-5 47^371 ^;-,t 9.475 73o4U;-,_ 476 i334|2-!7 10.534 0647 533 65 1 7 533 2391 532 8270 53a 4 1 52 532oo4o 10.53 1 5931 53i 1827 1020 tanf. 5307727 4889413 53o363i 529 9539 529 5452 10.520 1369 528 7290 528 321 5 5270144 527 5078 527 ior5 10.5266957 526 2903 525 8854 525 48(^ 525 0766 9485 3390 485 7907 4862419 4866928 487 1433 487 5933 9.488 o43o 488 4924 ilif. I "I co-tong. 48938 489831 4902858 9.490 7332 491 1802 491 6269 492 073 1 492 5190 4929646 9.493 4097 493 8545 494 2988 494 742 75.28 75.20 75.15 75.08 75.00 74.95 74.90 74.82 74.75 74.70 74.63 74.57 74.5o 74.45 74.37 74.32 74.27 74. » 8 74.13 74.05 74-02 me. 478 5423.^'^^ 47« f«a3i^Z 47974i2L>.'^ .16^9.480 5385^21? J ' /o -j^/: 00.35 39 4o 4i 73.8a 73.75 524 6720 495 6298 10.524 afioo 9.496 07a7 523 8666 4965152 523 464' 4969574 523 0620 497 3991 5a a 66o4 497 84o6 480 9366 ^'^ 48i 3342|?''-^7 48i73i5^;J^ 48a ia83.;^ « 482 5248 J?^-^ |ial9'48a 9ao8'^£' c ^ 483 5i65:^^£ 483 71 171^^27 484 1066?^°^ 484 5oio,^^-73 484895i!rJx* 9-485 2888:^^-^5 4856«ao5|]^ 4860749^5^ 4864674^1? 48685951^5.35 487a5i2l^?-J? 9.487 6426^^';3 488o335^|-^ 489 2o4o^t97 4895934^-9? 9.489 9824 *''*-®^' 44 45 46 4- 48 49 5o 5i 32 53 54 55 56 57 58 ;39 60 5a2 2591 10.521 8582 521 4577 5a I 0577 52o658o 5ao 2588 5198599 io.5i946i5 5 1 9 o634 5i8 6658 5i8 2685 5178717 5174752 10.5170792 5i66835 5162883 5158934 5154990 5i5 1049 io.5i47ii2 5i4 3i8o 5i3 9251 5i3 5326 5i3 i4o5 512 7488 1 0.5 12 3574 5ii 9665 5ii 5760 5ii i858 5i0 796{> 5io4o66 498 2816 9.498 7223 499 i6a6 4996036 5ooo42a 5oo48i4 5oooao3 9.501 3588 5oi 7969 502 2347 502673 1 503 1 00a 503 5459 9.5o3 9832 5a44i82 504 8538 505 2891 505 7240 506 1 586 9.506 5928 507 0267 5()7 46f»2 5078933 508 326i 5087586 9.509 1907 5096224 5 10 0539 5 10 4849 51091 56 5i I 3460 73.70 73.6a 73.58 73.5o 73.45 73.38 73.33 73.27 73.20 73. 1 5 73.08 73.02 72.97 72.90 72.85 72.78 72.72 72.67 72.60 72.55 72.48 72.43 72.37 72.32 72.25 72.18 72. i3 72.08 72.02 71.95 71.02 io.5i466io 5i4 2oo3 5i3 758i 5i 33072 5ia8567 5ia4o67 10.5 11 9570 5ii 3076 5i I 0587 5io6io2 5io 1620 509714a 10.500 2668 5088108 5o8 373i 5079269 5074810 5o7 o354 10. 5065903 5o6 1455 5o5 7012 5o5 2571 5o48i35 5043702 io.5o3 9273 5o3 4848 5o3 o4a6 5oa 6009 5oa i5o4 5
  • 5 020 6204 0206602 020 7«oa 0207401 020 7802 10.020 8203 oao86o3 030 9cx)4 d. 1' 6.43 6.45 6.45 6.47 6.47 6.47 6.48 6.5o 6.48 6.5o 6.53 6.52 6.52 6.53 6.53 6.53 6.55 6.55 6.57 6.57 6.57 6.58 6.60 6.58 6.60 6.62 6.62 6.62 6.63 6.63 co-Bin. 6o| 5 9.980 5q63 980 5577 980 5 19* J 980 48o3 9804415 980 4027 9.980 3639|54 98o325o 9802860 9802471 9802081 980 169c 9.980 1 290J48 960 0908 47 98oo5i6|46 9800124 979 9732 979 9339143 9.979 8946 979855^ 9798158 9797764 9797360 9796973 9.9796578 9796182 979 5785 979 5388 9794991 9794593 5 57 56 55 53 52 5i 5o 49 6.65 497327a oao94o6 496 8908 oao 9808 496 4Mi 03 103 1 1 10.4960178 10.021 061 4 co-fin, dif. 1" 10.5100176I9.511 7760 aec. cu-tang. 71.9; 71.8: 71.78 71.73 71.67 4955818 495 1462 4947109 4942760 493 84 1 4 10.4934072 492 9733 492 5398 492 1067 49 < 6739 491 a4i4 10.490 8093 490 3776 4899461 4895151 489 0844 488 654o 10.488 2240 oai 1017 021 i4ai oai 1825 021 223o 021 2635 10.021 3o4< 021 3446 021 3852 021 4259 021 4666 oai 5073 10.021 5481 oai 5889 oai 6398 021 6707 021 71 17 021 7526 10.021 7937 9.9794196 diCl" tang. co-iec. 6.63 6.67 6.65 6.68 6.67 6.68 6.68 6.70 6.70 6.72 6.7a 6.72 6.73 6.73 6.75 6.75 6.75 6.77 6.77 6.78 6.78 6.78 6.80 6.80 6.83 6.8a 6.83 6.82 6.85 d. 1" 9793796 9793398 9792998 979 2599 9792198 9.979 1798 979 1397 979 9790 97901 97897 9.978 9386 9788983 9788579 9788175 978 7770 978 7365 9.978 6960 978 6554 9786148 978 574 r 978 5334 978 4927 9.9784519 9784111 978 3702 978 3293 978 2883 978 2474 9.978 ao63 ■tn. 42 4i 4o ^ 37 36 35 34 33 32 3i 3o 2 27 26 25 24 23 22 21 20 ',1 17 16 i5 14 i31 12 1 1 10 9 8 7 6 5 4 lOTo 12° LOGARITHMIC SINES, TANGENTS, &C. 251 18« 1010 3 4 5 6 7 8 9 10 II 12 i3 i4 i5 16 17 18 '9l 20 21 22 23 24 25 26 27 28 3? 3i 32 33 34 35 36 37 38 39 40 4i 43 43 44 45 46 47 48 49 So 5i 53 53 54 55 56 57 58 59 60 Bin. ditl" 9.489 0824 Q^ 490 3710 g^ 490 7592 4 491 1471 fil 4915345^4 9.492 3o83 Vl 4926946.^ 4930806?^ 493 4661 ^j 493 85 1 3 ^j 494 2361^^ 9.4946205^4 495 Of )46 f.^ 495 3883^ 4957716^, 4961545^^ 496 5370 g, 9.496019263 497 3oio^.^ 4976824^0 498 o635:g^ 498 444"^ fi-i 498 8245 II 9.499 2o45,g3 499 584o!^^ 4990633.3 5oo342iig3 5007206^, 5010987^'' 9.501 4764 5oi 8538^ 5o2 23o8Jg 5o2 6075L 502 9838;"^ 503 35q7'^^ 62 62 62 q.5o3 73531^ C y c|02 5o4iio5L 504 48531^^ 5048598^^ 505 2339 505 6077 9.5059811 506 3542 5067269 507 0992 5074712 507 8428 9.508 2l4l 508 585o 508 9556 509 3258 509 6956 5roo65i 9.5104343 5io8o3i 5ii 1716 5ii 5397 5ii 9074 5i2 2749 9.5126419 co-iin. 62 62 62 62 62 62 62 61 61 61 61 61 61 61 61 61 61 61 61 61 61 77 70 .65 .57 .52 .45 .38 33 .25 20 .i3 .07 .02 95 88 82 •75 70 .63 57 52 45 .38 .33 .25 .22 .[3 08 .02 .95 .90 .83 .78 .72 .65 .60 .53 .47 .42 .35 ,3o .23 .18 ,12 .o5 00 88 82 77 70 63 .58 53 47 42 35 28 25 17 co-nec dif. I" IO.5100176 5096290 509 24<)8 ■5088529 5o8 4655 5o8 0784 10.5076917 507 3o54 5069194 5o6 5339 5o6 1487 5o5 7639 io.5o5 3795 5o4 9954 5046117 5o4 2284 5o3 8455 5o3 463o io,5o3 0808 5o2 6990 5o2 3176 5oi 9365 5oi 5558 5oi 1755 io.5oo 7955 5oo4i6o 5oo o367 4996579 4992794 498 9013 10.498 5236 498 1462 497 7692 497 3925 4970162 496 64o3 10.496 2647 495 8895 495 5 1 47 495 i4o2 494 7661 494 3923 10.4940189 493 6458 493 273 1 492 9CK)8 492 5288 492 l572 10.491 7859 491 4i5o 491 0444 490 6742 490 3o44 489 9349 10.489 5657 489 1969 488 8284 488 46o3 488 0926 487 725 1 10.487 358 1 tang. diCl" 9.511 7760 5r2 2f»57 5i2 635i 5[3 0641 5 r 3 4927 5i3 9210 9.514 ^490 5147766 5i5 2039 5i5 63o9 5i6o575 5 16 4838 9.5169097 5173353 5177606 5i8i855 5i86ioi 5190344 9-5194583 5198819 520 3o52 520 7382 521 i5o8 521 5730 9-521 9950 5224166 522 8379 523 2589 523 6795 524 0999 9.524 5199 524 9395 525 3589 525 7779 526 1966 5266i5o 9.5270331 527 45o8 527 8682 528 2853 528 7021 529 II 86 9-529 5347 529 95o5 530 366 1 5307813 53i 1961 53i 6107 9.532 02 5o 532 4389 532 8526 533 2659^°^ 533 6789l^«^ 534 0916^-7° DJ4 9101 /;q c 535 3278!^-^ 535 7393i5S-S 536 1 505^5^ 536 5613 ^-47 9.5369719^^-43 aec 71.62 71.57 7r.5o 71.43 71.38 71.33 71.27 71.22 71.17 71.10 71.05 70.98 70.93 70.88 70.82 70.77 70.72 70.65 70.60 70.55 70.50 70.43 70.37 70.33 70.27 70.22 70.17 70.10 70.07 70.00 69.93 69.90 69.83 69.78 69.73 69.68 69.62 69.57 69.52 69.47 69.42 69.35 6930 69.27 69.20 69,13 69.10 69.05 68.98 68.95 68.88 co-la ng. co-tang. dif. I 10.488 224< 487 7943 487 3649 486 9359 486 5073 486 0790 io.485 65io 485 2234 4847961 484 3691 483 9425 483 5162 I0.483 0903 482 6647 482 2394 48i 8145 481 3899 480 9656 10.4805417 4801181 479 6948 479 2718 478 8492 478 4270 10.478 oo5o 477 5834 477 1 62 1 476 741 1 476 32o5 4759001 10.475 4801 475 o6o5 474 64 1 1 474 2221 473 8o34 473 385o 10.472 9669 472 5492 472 i3i8 471 7147 471 2979 4708814 10.470 4653 470 0495 469 6339 469 2187 4688039 468 38o3 10.467 9750 467 56 II 467 1 474 466 7341 466 3211 465 9084 I0.465 4960 465 0839 464 6722 464 2607 463 8495 463 4387 I0.463 0281 sec. tang. 108° 10.021 7937 021 8347 021 8759 021 9170 021 9582 021 9994 10.022 6407 022 0820 022 1234 022 1647 022 2062 022 2477 10.022 2892 022 33o7 022 3723 022 4i4o 022 4556 022 4974 10.022 5391 022 5809 0226228 022 6646 022 7066 022 7485 10.022 7905 022 8326 022 8747 022 9168 022 9690 023 0012 10.023 0434 023 0857 023 1 280 023 1704 023 2128 023 2553 10.023 2978 023 34o3 023 3829 0234255 023 4682 023 5109 10.023 5536 023 5964 023 6392 023 6821 023 7250 023 7679 10.0238109 023 8539 023 8970 023 9401 023 9833 024 0264 10.024 0697 024 ii3o 024 1 563 024 1996 024 243o 024 2865 10.024 3299 d. I" 6.83 6.87 6.85 6.87 6.87 6.88 6.88 6.90 6.88 6.92 6.92 6.92 6.92 6.93 6.95 6.93 6.97 6.95 6.97 6.98 6.97 7.00 6.98 7.00 7.02 1 7. 02 7.02 703 7.03 7.o3 7.05 7.05 7.07 7.07 7.08 7.08 7.08 7.10 7.10 7.12 712 7.12 7.i3 7.i3 7.15 7.15 7.15 7.17 7.17 7.18 7.18 7.20 7.18 7.22 7.22 7.22 7.22 7.23 7.25 7.23 9.978 2o63 60 978 1 653 59 978 1241 58 978 o83o 57 978 04 18 56 978 oof)6 55 9.977 9593.54 977918053 977 8766 52 977 8353 51 CO-SI n. co-sec. 9777. 977 7523 9.9777108 977 6693 977 6277 977 586c 977 5444 977 5026 9.977 4609 9774191 977 3772 977 3354 977 2934 977 25i5 9.977 2095 977 1674 977 1253 977 o832 9770410 9769988 9.976 9366 9769143 976 8720 976 8296 9767872 976 7447 9.976 7022 9766597 9766171 976 5745 9765318 976 4891 9.976 4464 976 4o36 9763608 9763179 976 2756 976 2321 9.976 1891 976 i46i 976 io3o 976 0699 9760167 975 9736 9.975 93o3 916 8870 975 843- 975 8oo4 975 7570 9757135 9.975 6701 i38 5c 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3i 3o 1 d. 1" SID. 2 2 27 26 25 24 23 22 21 20 19 18 17 16 l5 l4 i3 12 II 10 9 8 I 6 5 4 3 2 I o 710 \ \ ■•■: r i 252 LOGAEITHMIC SINES, TANGENtS, dcc. 10O 1600 ■in. 9.612 5i3 5i3 5i3 5i4 5i4 6|9.5i4 5i5 I a 3 4 2 6419 0086 375(> 74 »o 1067 iiir.1" 61. la 61.07 6l.CK> 60.95 60.00 ■CtUCCm 9 10 f I 12 1 3 14 i5 16 • 7 18 liy 20 'ii 33 24 26 37 aS 39 3o 3i 32 33 34 35 36 37 38 39 4o 4i 4a 43 44 45 46 47 48 49 5o 5i 5a 53 54 55 56 57 58 59 60 5i5 5i5 5i6 5i6 9-5 17 5i7 5i7 5i8 5i8 5i8 9.519 5i9 Sry Sao 5ao 520 9.531 Sat 5a 2 522 523 9.523 523 5a4 5a4 534 5a5 9-525 525 526 526 527 5a7 9.5a7 528 5a8 528 529 529 9-529 53o 53o 53o 53 1 53i 9-53 1 53a 532 533 533 533 9.534 2017 9.3*"M"» 2036 6569 0198 3834 ■60.77 6i'»,7a fiO'.67 ;&)..6o fio.55 60.48 60.43 6o.38 twig. i:!S?>-3, 468 a 8295 1904 55 10 91 12 2711 63o7 ^^ 60.27 t H, *» H* Jl fo.i5 60.10 60. o3 59.98 59.93 59.87 59:8a /1 59.77 nfi'ViP'9'7'-* 4953 85 1 8 2081 564o 9196 2749 6298 9844 3387 6927 o463 3997 7626 io53 4577 8097 i6i4i 5ra8 8638 ai46 565o 9i5i 2649 59.5© 59.42 59.38 59.32 59.27 59.22 59,15 59.10 59.05 59.00 58.93 58.90 58.8a 58.78 58.73 58.67 58.62 58.57 58.5o 58.47 58.4o 58.35 58.3() c, /^!58.a3 1^^^158.13 0090 CO 3569^^9° 7044 o5i7 co-tin. 57.92 57.88 ditl" 10.4873581 4869914 4866250 486 2590 485 8933 485 5279 I0.485 1629 484 798J 484 4340 484 ""I'U 483 7o<>4 483 343 1 10.4820602 4826176 482 2553 481 8934 481 53r8 481 1705 10.4808096 480449* 4800888 479 7289 479 3693 4790101 10.478 65 1 2I9 478 2926 477 9 '44 477 J765 4772189 4768617 10.476 5o47 476 1482 475 79 '9 475 436o 475 0804 4747251 10.474 370a 4740 '56 4736613 473 3073 472 9537 47a 6oo3 10.472 2474 471 8947 471 5433 471 1903 470 8386 470487 a 10.470 1 36a 469 7854 469 43 5o 469 0849 468 735 f 468 3857 0.468 o365 467 6877 467 3392 4669910 4666431 466 2956 I0.465 9483 iliCI" f)8.37 68.32 68.a8 ^68.22 ^ 536 9719 537 J8ai 537 79>o 538 aoi7 538 61 lO;,.. 539«>P(.()l?°-'7 1.5394287*^-" 5398371 540 2453 540 653 1 54 1 0606 541 4678 •54 1 8747 542 38 1 3 542 6877 543 0937 543*4994 543 9<»48 .544 3i(K» 544 7148 545 1193 545 5a36 545 9276 546 33 1 2 546 7346 547 «377 547 54o5 547 9430 548 3452 5487471 •549 1487 549 55oo 549 95 1 1 55o35i 550 752 cn-lanf. ■oc. 55i i525 ■55i 5524 55 1 oSai 55a 35i4 552 75o4 553 149a 553 5477 •5539459 5543438^^ 554 74 1 5!)^ 555 1388^^" 555 5359 555 9327 556 3292 556 7255 557 iai4 68.07 68.03 67.97 67.92 67.87 67.82 67.77 67.73 67.67 67.6a 67.57 67.53 67.47 67.43 67.38 67.33 67.27 67.23 67.18 67.13 67.08 67.03 66.98 66.93 66.88 66.85 66.80 66.73 66.70 66.65 66.62 66.55 66.5o 66.47 66.42 6r).37 66.32 66.28 66.18 66.13 66.08 66.o5 65.98 5575171 557 9ia5 558 3o77 65.95 65.90 65i7 65. 80 558 7oa5"^°^ 5594914^^^ 55? 8854^^-^^ 56o 3792 ^^-^3 5606727 56i 0659 65.58 65.53 i«e. co^aog. difl 1" io.463oa8 4636179 462 2080 461 7983 461 3890 4609800 10.4605713 460 1629 459 7547 450.3469 458 0394 458 5322 10.458I253 4577187 457 3ia3 456 9063 45() 5(Hi6 456 (^53 ro.45569(M) 455 3852 454 8807 454 4764 454 0724 453 6688 10.453 3654 452 8633 452 4595 452 0570 45 1 6548 45l 2520 10.450 85 1 3 45o 45oo 45o 0489 449648 449 3477 448 8475 10.448 4476 448 0479 447 6486 447 2496 44685o8 4464523 10.4460541 445 6562 445 2585 4448612 4444641 4440673 10.443 6708 443 2745 442 8786 442 4829 442 0875 44 1 6923 10.441 2975 44o 9029 44o 5o86 440 1146 439 7208 439 3273 10.438 9341 d. 1" 10.024 32 oa4 37 0244170 024 4606 024 5o43 oa4 5479 to.oa4 5917 024 6354 024 6792 034733 1 024 7670 0248109 io.oa48549 024 8989 0249430 0249871 025o3l2 025 0754 tang. 10.025 1196 025 1639 025 2082 025 25a5 025 2969 025 34 1 3 10.025 3858 025 43o3 025 4748 025 5194 025 564i 025 6087 10.025 6534 0256982 025 743o 025 7878 025 8327 oa5 8776 10.0259226 025 9676 0260127 026 0578 oa6 1029 026 1481 10.026 1933 026 2385 026 2838 026 3291 026 3745 0264199 10.0264654 026 5109 026 5565 026 6020 026 6477 026 6933 10.026 7J90 026 7848 0268306 026 8764 0269223 0269682 10.027014a 7.27 7.25 7.27 7.28 7.27 7.3o 7.28 7.3<> 7.32 7.3a 7.32 7.33 7-33 7-35 7-35 7.35 7.37 7.37 7-38 7.38 7.38 7.40 7.40 7.42 7-42 7.42 7-43 7-45 7.43 7.45 7-47 7.47 7.47 7-48 7.48 7.5o 7.5o 7.53 7.52 7.52 7.53 7.53 7.53 7.55 7.55 7-57 7-57 7-58 7«58 7.60 7.58 7.62 7.60 7.62 7-63 7-63 7-63 7-65 7.65 7.67 co-8in. CO-lfiC d. 1" 9.975 671 )r 975 6265 975 583< 975 53o4 975 4957 9754521 9.975 4f>83 975 364^ 9753208 975 2769 975 233() 975 1891 9.975 i45i 975 ion 975 o57f 9750129 974968b 974 9346 9.974 8804 974 836 1 97479'^ 974 7475 974 7o3 974 6587 9.9746142 974 5697 974 525v 974 4806 974 4359 974 39 r 9.974 3466 974 3o 1 8 974 2570 974 2122 974 1673 974 1224 9.974 0774 974 0334 973 9873 9739422 9738971 973 85 r 9 9.973 8067 9737615 973 7 '62 973 6709 973 6255 973 58oi 9.973 5346 973 4891 973 4435 973 3980 973 3523 973 3067 9 973 2610 973 21 52 973 1694 973 I2d6 973 0777 973o3i8 9 972 9858 5B 57 56 55 54 53 5i 5 1 5«) 49 48 47 46 45 44 43 42 41 4u 3 3 3? 36 35 34 33 32 3i 9 2 27 26 25 ^4 23 22 21 20 •9 18 •7 16 i5 i4 i3 12 1 1 10 ■in. 1000 700 LOGARITHMIC SINES, TANGENTS, &C. 253 20° Bin. o I 2 3 4 5 6 7 8 9 10 ir 12 i3 • 4 i5 j6 18 '9 20 21 22 23 24 25 26 27 28 ^9 JO 3i 32 33 34 35 3() 37 38 dif. I" 57.82 57-77 57.7a 57.67 57.6a 57.57 57.52 57.45 57.40 9.5340517 534 3986 534 7452 5350915 535 4375 535 7832 9.5361286 536 4737 5368184 537 i6a8 c o 537 5070 ^7-37 537 85o8 P'^ 9-538 1943 i'7''^ 538 5?75^7-'? 538 8804 ^^-^^ 539 223o 539 5653 ^7°3 540 59o3|?2'2? 54o95,4^^-°^ 541 2721^^-^8 5416126^^-75 ^f!???z!56 65 co-«ec. nin'',^^^l 5426321 542 9713 543 3io3 39 4o 4i 42 43 44 45 46 47 48 5i 52 53 54 55 56 57 58 59 teo 56 53 56. 5o 543 6489 l^il 5439873!^^-^^ 9.5443253'^^^^ 544 663o 545 noo5 56-28 56.25 56.18 mi'z'56:\l 545 6745 5460110 9 546 3472 546 6832 „ ^ 5S?5S 55.88 547 3542 ^5_jj5 56.08 56.o3 56.00 547 6893 548 0240 9.548 3585 548 6927 549 0266 549 36o2 549 6935 550 0265 9.550 3592 55.78 55.75 55.70 55.65 55.60 55.55 55.5o 55.45 55.40 5^069.6^,^;- 55 r 0237 55 1 3556 55 1 6871 5520184 9-552 3494 552 6801 553oio5 553 3406 553 6704 553 9999 9.554 3292 55.3a 55.25 55.22 55.17 55.12 55.07 55.02 54.97 54.92 54.88 co-iin. dif, I" I0.465 9483 465 6014 465 2548 4649085 464 5625 4642168 I0.463 8714 463 5a63 463 181^ 46a 837a 462 4930 46a 1492 10.461 8057 461 4625 461 1196 460 7770 460 4347 460 0927 10.4597511 459 4097 4590686 458 7279 458 3874 458 0473 10.457 7074 457 3679 457 0287 456 6897 456 35 1 1 4560127 ro.455 6747 455 3370 454 9995 4546624 454 3255 4539890 10.453 6528 453 3 1 68 4529811 45a 6458 45a 3 1 07 45 1 9760 10.45 164 1 5 45 1 3073 45o 9734 4506398 45o 3o65 449 9735 10.4496408 449 3o84 448 9763 44s 6444 448 3129 447 98 1 6 10.447 ^06 4473199 446 9895 446 6594 446 3296 4460001 10.445 6708 159<» ung. diei" 9.561 0659 zjc /o 56i458p5.^^ 56i85i5 562 2439 562 636o 563 0278 9.5634194 563 8107 564 2018 564 5925 564 9831 565 3733 9-565 7633 566 1 53o 566 5424 566o3i6 567 32o5 567 7091 9-568 0975 568 4856 568 8735 569 2611 569 6484 570 o355 65.45 65.4o 65.35 65.3o 65.27 65.22 65.18 65.12 65. 10 65.o3 65.00 64.95 64.90 64-87 64-82 64-77 64.73 64-68 64-65 64.60 64-55 64.52 co-taiig. I0.438 9341 438 5412 438 1485 437 7561 437 364o 436 9722 ■I0.436 58o6 436 1893 435 7982 4354075 ■ec. d.1' 10.02701421^ J 0270602:''^' 027 io6a!;j-^Z 027i523i:7.b» 027 i984i:^-r^ 02724467-"° 10.027 2Qo8l^'70 027 3371 ^-"^^ 027 3834 l-ll 027 4297'.;'^3 co-sm. 4350169 027 4761 P-^O /;t/fiofi-T /^o-, «;.,.,*; (7.7 J 9-570 4223l^ff 570 8088 ^^-4' 571 1951 571 58fi 571 9669 572 3524 9.572 7377 573 1227 573 5o74 573 8919 574 2761 5746601 9.575 o438 575 4272 575 8io4 576 1934 6765761 676 9686 9.677 3407 5777226 578 1043 578 4858 6788669 579 2479 9.6796286 6800090 680 3892 6807691 681 i488 58i 6282 9681 9074 682 2864 6826661 583 0435 583 4217 583 7997 9-584 1774 64-38 64.33 64-3o 64-25 64.22 64.17 64.12 64.08 64.o3 64 00 63.96 63.90 63.87 63.83 63.78 63.73 63.70 63.66 63.62 63.68 63.62 63.6o 63.45 63. 4o 63.37 63.32 63.28 63.23 63. 20 63.17 63. 1 a 63.07 63.o3 63 .00 63.96 ■ec co-tang. 434 6267 10.434 2367 433 8470 433 4576 4330684 4^2 6796 432 2909 10.431 9026 43i 5i 44 43 1 1265 43o 7389 43o35i6 429 9645I ro.429 5777 429 1912 428 8049 4284189 428033 1 427 6476 10.427 3623 426 8773 426 4926 426 1081 426 7239 426 3399 10.424 9662 424 6728 424 1896 423 8066 423 423q 423o4i5 10.422 6693 422 2774 421 8967 421 5i43 421 i33i 4207621 10.4203714 4199910 4196108 419 23o9 4188612 4184718 10.4180926 4i7 7i36 027 5226|;;r 10.027 669oK-7^ o27 6i56K"c 027 662oi'^-7^ 027 7o86g-77 027 7662 ';'X« 0278019;-'° 10.027 8486 "70 027 8953 0279421 027 9890 ^'o^ ^oHA^r«i7-8o 7-83 7-78 7-80 7-82 028 o358 028 0828 10.028 1297 028 1767 028 2238 028 2709 028 3 1 80 028 3662 10.0284124 028 4696 028 6069 028 5543 0286016 028 6491 r-92 10.028 6965l"^"9o 7-82, „ , 7-8399718703 7-85 9718233 7-85 7-86 7-87 7-87 7-87 7.88 7.90 7-88 did' lIQo 4i6 9666 4166783 4i6 2oo3 10.4168226 028 7440 0287916 028 8392 028 8868 028 9345 10.028 9822 0290299 029 0777 029 1266 029 1735 _'j> 029 22l4Z"9^ 10.029 2694^°*^ o2g3n4ll"^ ^^Z. 0/:c^l8.OO 7.92 7.93 793 793 7.95 795 7-95 7.97 7.98 798 029 3664 0294135 0294617 0296098 10.0296681 2°^ 0296063°-^^ 8.02 8.o3 8.02 8.o5 417 3349] 0296646 0297030 0297614 029 7998 10.029 8483 8.07 8.07 8.07 8.08 tang. co-aec. 9.972 9868 60 972 9398 972 8938 972 8477 972 8016 972 7554 9.972 7092 972 6629 9726166 ! 972 6703 ' 972 6239 ' 972 4775 t 9.9724310^ 972 3845 i 972 338o .: 972 2914/ 972 2448 i 972 1981 ^ 9.972 1614^ 972 1047 972 0679 972 01 10 971 9642 971 917? 8703 971 971 7762 971 7291 971 6820 971 6348 9.971 6876 971 6404 971 4931 971 445- : 971 3984 : 971 35oo ; 9.971 3o35 ^ 971 2660 •- 971 2084 '. 971 1608 ; 971 11 3? ; 971 o655 1 9.971 0178 1 9709701 I 9709223 I 970 8744 I 970 8266 I 970 7786 I 9.970 73()6 I 970 6826 I 970 6346 I 970 6865 970 6383 970 4902 '9.9704419 970 3937 970 3454 970 2970 970 2486 970 200 9.970 1617 d.1' sin. 69« I 254 LOGARITHMIC SINES, TANGENTS, &C. no 158° 555 556 7 8 9 10 11 13 i3 i4 13 f6 •in* 9-554 554 Baoa 658 1 555 iliCI" 1 52 6433 9711 2987 37 38 39 40 4i 46 47 49 5o 5t 5^ 53 54 55 •ill / 311 59 557 557 55? 9-558 558 558 559 559 559 9-56o 56o 56i 56i 56 1 9 563 562 562 563 563 9-564 564 564 '565 565 18 19 90 a I 22 23 24 25 26 27 28 29 3o 3i 33 34 16|9-565 300' 566 rgut 300 56?' 567 9-567 568 568 569 569 9-569 570 570 570 571 571 9.571 572 57a 572 572 573 9.573 9529 279^) 9321 2579 5835 9088 2338 5585 8829 2071 53io 8546 1779 5oio 8337 1463 4685 7904 II3I 4335 7546 0754 3960 7163 o363 6756 9948 Ji37 6334 9508 3689 JKJ\JO 9044 2217 5387 8555 I73"l 4883 8043 1200 4355 75o6 o656 38o2 6946 0087 3226 636? 940 2626 5754 dMin. 54-82 54-78 54-73 54.68 54-63 54.(>o 54.53 54. 5o 54.45 54- 4o 54.35 54-30 54-27 54.22 54.17 54*12 54.07 '54.03 53.98 53.93 53.88 53.85 53.78 53.75 53.72 53-65 53.63 53.57 53.52 53.47 J J.43 53.38 53.33 53-3o 53.25 53.20 53.1 5 53.12 53.07 53.02 52.98 52.93 52.88 52.83 5a .80 52.77 52-70 52.67 52.62 52-58 52.52 52.5o 52.43 52.40 52,32 52.27 52.22 52.18 52. i3 tO-B&Cm tatif. di£l" dif. I" 104456708 4453419 445 01 33 4446848 444 3567 444 0289 10.4437013 4433741 4430471 44^ 3940 44a 0679 10.441 7421 44i 4i65 44t 0912 44o 7662 440 44 1 5 44o 1171 10.4397929 439 4690 430 1454 4388221 438 4990 438 1763 r 0.437 8538 437 53 1 5 437 2096 436 8879 436 5665 436 2454 10.435 9246 435 6o4o 435 2837 4349637 434 6439 434 3244 10.4340053 433 6863 4333676 433 0492 432 73 1 1 432 4 1 32 10.432 0956 43 1 7783 43 1 461 3 43 1 1445 4308279 43o 5i 17 10.430 io57 4298800 429 5645 429 2494 '428o344 4280198 10.428 3o54 4279913 427 6774 427 3638 427 o5o5 426 7374 10.426 4246I9 ^.584 1774 584 5549 584 0321 585 J091 585 6859 5860624 ^.586 4386 5868147 587 1904 587 5660 5879413 588 3 1 63 >.588 69i2 589 0657 5894401 5898143 590 1881 5905617 ). 590035 1 591 3o83 591 6813 592 0539 592 426J 592 7985 1-593 1705 593 5423 5939138 594 285 1 5946561 595 0369 )-595 3975 595 7679 596 i38o 5965079 596 8776 597 2470 >■ 597 6162 597 08 52 598 354o 598 7225 5990908 599 4588 ► 5998267 600 iq43 600 5617 M6a n 6009289 601 2058 601 6625 >.6o2 03 602 39 602 7613 603 1271 603 4927 6o3858i ».6a4 2233 6045883 604 9529 605 3174 6o5 68j7 6060457 '.6064096 co-tang. oa.Qs 62.87 62.83 6a. 80 62.75 62.70 62.68 62.63 6a.6o 6a.55 62.50 62.48 6a .4a 6a. 4o 6a.35 62.32 62.27 62.23 62.18 6a. 1 7 62.12 62.07 62.03 62.00 61.97 61.92 61.88 61.83 61.80 61.77 61.73 61.68 61.65 61.62 61.57 6 1.53 61. 5o 61.47 61.4a 61.38 61.33 61.32 61.27 61. 23 61.20 61.1 5 61.12 61.08 6i.o5 61.00 60.97 60.93 60.00 60.87 60.83 60.78 60.75 60.7 a 60.67 6o.65 wHanf. 10.41 5 8326 4i5 445i 4150679 4146909 4i4 3i4i 4i3o376 io.4i3 56i4 4i3 i853 4i3 8096 4124340 4i 2 o587 4i I 6837 io.4ii 3o88 4109343 4105599 410 i858 4098119 408 3i88 407 9461 407 5737 407 201 5 10.4068295 406 4577 4060862 4o5 7149 4«)5 3439 404973 1 10.404 6025 4o4 2321 4o3 862o 4o3 493 1 4o3 1324 4027530 io.4oa3838 4oa 01 48 4oi 6460 4oi 2775 4009092 4oo 54i3 io.4oo 1733 399 8o57 3994383 3990711 398 7042 398 3375 10.3979710 3976047 397 2387 396 8729 3965073 ■«c 10.029 8483 0298968 039 9453 029 9939 o3oo42D o3oo9i3 io.o3o i4oo o3oi888 0302376 o3o2864 030 3353 o3o 384a io.o3o4332 o.3o 4823 o3o53i3 o3o 58o4 o3o62 d.l 4o<) 4383 o3o 6788 10.4000649 10.0307280 4086918 o3o7773 3961419 o3a4779 di£l" 10-395 7767 3954(18 3950471 3946836 3943183 393 9543 10.393 5904 tang. o3o 8266 o3o 8759 030.9254 030 9748 io.o3i 0243 o3i 0738 o3i ia34 o3i 1730 031 3227 o3i 2724 i0.o3l 3221 o3i 3719 o3i 4ai7 o3i 4716 o3i 52i5 o3i 5714 io.o3i 6314 o3i 6715 o3i 7216 o3i 7717 o3i 8219 o3i 8721 io.o3i 9223 o3i 9726 o33 0229 o32 073J o32 1237 o32 1743 io.o32 2247 o32 2753 o3a 3250 o32 3765 o3a 4272 08 .08 o 2 2 2 co-am. 7 8 7 8 20 .20 20 io.o32 5287 o32 5795 o32 63o3 0326813 032 7321 o3a 783 1 io.o33 834 1 eo-aec. 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8, 8. 8. 8. 8. 8. 8 8 8 8. 8 .33 .33 .33 -25 23 .35 .35 27 .27 .28 .28 38 3o .3o .33 .32 32 .33 .35 35 35 .37 ■37 ■37 .38 .38 .40 .40 .42 .42 .43 .43 .43 .45 .45 •47 ■47 47 48 .48 5o 5o 9.970 i5i7 970 io33 970 o547 9700061 9699574 9699087 9.9^)9 8600 9698113 9697634 9697136 9696647 9696158 9-9695668 9695177 9694687 9694196 969 3704 9693213 9.969 2720 9692227 969 1734 969 124t 9690746 9690252 9.968 9757 9689262 9688766 968 827f 9687773 968 7276 9.968 6779 9686281 9685783 9685384 9684785 9684386 9.968 3786 24 9683285 ~ 9682784 9682283 968 1781 968 1279 9.968 0777 96802741 1 7 9679771 967 9267 967 8763 9678258 9-967 7753 967 7247 9676741 967 6235 967 5728 9675221 9.9674713 967 42o5 9673607 9673188 9672679 967 2169 9.967 1659 60 59 58 57 56 55 54 53 53 5i 5o 49 48 47 46 45 44 43 43 4i 4o 39 38 3/ 36 35 34 33 32 3i 3o d.1' ■m. 27 26 25 33 23 21 20 16 1 5 14 13 I J 1 1 10 o 1110 «8o LOGARITHMIC SINES, TANGENTS, &C. 255 220 sin. 9-573 5754 1 573 8880 2 574 2003 3 574 5123 4 5748240 5 575i356 6 9.575 4468 7 575 7578 8 576 o685 9 576 3790 10 5766892 1 1 576 9901 129.5773088 i3 5776183 1 4 5779275 1 5 5782364 16 5785450 17 5788535 189-579 1616 19 579 4695 20 579 7772 21 5800845 22 5803917 23 5806986 249 58 1 oo52 25 58i 3ii6 26 58i 6177 27 58 1 9236 28 582 2292 29 582 5345 30 9-582 8397 3 1 583 1445 32 583 449' 33 583 7535 34 5840576 35 584 36 r 5 9-5846651 584 9685 5853716 39 585 5745 40 585 8771 4i 586 1795 43 9 586 48 16 43 586 7835 44 5870851 45 587 3865 46 5876876 47 587 9885 48 9 588 2892 Ag 588 5896 5o 588 8897 5i 5891897 52 589 4893 53 5897888 54 9 590 0880 55 590 3869 56 5906856 57 5909841 58 591 2823 59 591 58o3 609-591 8780 1570 dif.r 36 37 38 52.10 52.o5 52.00 51.95 51.93 51.87 5 1.83 51.78 51.75 51.70 51.65 5 1.63 51.58 51.53 5 1. 48 51.43 51.42 51.35 5i.32 51.28 5l.22 5l.20 5i.i5 5i.io 51.07 5 1.02 50.98 50.93 5o.88 50.87 5o.8o 5o.77 50.73 5o.68 50.65 5o.6o 50.57 5o.52 50.48 50.43 5o.4o 50.35 5o.32 50.27 5o.23 5o.i8 5o.i5 5o.I2 5o.07 5o.02 5o.oo 49.93 49.92 4987 49.82 49.78 49.75 49.70 49.67 49.62 co-8ec. c«>-«in. di£l' 10.426 4346 426 1 1 20 425 7997 435 4877 425 1760 424 8644 10.424 5532 424 3422 4239315 423 62 JO 423 3 1 08 4230009 10.4226912 422 38i7 422 0725 421 7636 421 455o 421 1465 0.420 8384 420 53o5 430 3228 4199155 4196083 4193014 10.4189948 4i8 6884 4i8 3823 4i8 0764 4177708 417 4655 10.417 i6o3 4i6 8555 4i6 5509 4i6 2465 4159424 4x5 6385 10.4153349 4i5o3i5 4r4 7284 4144255 4i4 12a 4i3 820 io.4i3 5i84 4i3 2i65 4129149 4i2 6i35 4i3 3i24 4i2 oii5 10.411 7108 4ii 4io4 4ii iio3 4io8io3 4io5io7 4to 2112 10.4099120 4096131 4093144 4090159 4087177 4084197 10.408 1220 tang. 9.6064096 732 60677 607 1 366 607 4997 607 8627 6082254 9.608 588o 608 o5o3 6093124 609 6742 610 0359 610 3973 9.610 7586 611 1196 6114804 611 8409 612 20l3 612 56i5 9.6129214 6132812 6i3 64o7 6140000 614 3591 6147180 dif.l" 626093 6264454 626 7973 627 1491 627 5oo6 9.627 85 19 •ec. I co-tang. 59.67 59.65 59.60 59.57 59-53 59-50 59-47 59-43 59-40 59-37 59.33 5928 59-27 59.23 5918 59.17 59 12 59-10 59-05 59-02 59-00 58-95 58-93 58-88 58-85 58-82 58 -80 58-75 58-72 5870 58-65 58-63 58.58 58-55 60.60 60.57 60.52 60. 5o 60.45 60.43 6o.38 60.3.5 6o.3o 60.28 60.23 60.22 60.T7 6o.i3 60.08 60.07 6o.o3 59.98 59.97 59.92 59.88 59.85 59-82 9.615 0766|^9-77 6154351^975 6i5 7934l59-72 616 i5i4 6165093 6168669 9.6172343 6175815 6179385 618 2953 6186519 6190083 9.6193645 6197205 620 0762 6204318 620 7872 621 i4a3 9.621 4973 621 8520 633 3066 622 5609 622 91 5o 623 2690 9.6236227 623 9763 624 3296 6246827 625 o356 625 3884 9.625 7409 co-tang. 10.393 5904 393 2268 392 8634 392 5oo3 392 1373 391 7746 10.391 4120 391 0497 3906876 390 3258 389 9641 389 6027 10.389 24i4 388 8804 3885196 388 1591 387 7987 387 4J85 10.387 0786 3867188 386 3593 3860000 385 6409 385 2820 10.3840234 384 5649 384 2066 383 8486 383 4907 383 1 33 1 10.382 7757 3824185 382 061 5 38 1 7047 38 1 3481 3809917 io.38o6355 38o 2795 379 9238 379 5682 379 2 1 28 378 8577 10.378 5027 378 i48o 377 79341 3774391 377 o85o 3767310 10.376 3773 376 0237 375 6704 3753173 3749644 374 61 16 10.374 2591 373 9068 373 5546 373 2027 372 8509 372 4994 10372 1481 sec d.1" io.o32 834iL c o32 8852!^-^^ 032 9363 R?^ o3a9875|-^f 033 o386ic ^? o33 0899°-^^ io.o33 i4i2^'^c o33 i925i«?? o33 2438 ^-^5 o33 2952 o33 3467 o33 3982 io.o33 4497 o33 5oi3 o33 5529 o33 6o46 o33 6563 o33 7080 io.o33 7598 o33 8ii6 o33 8635 o33 9i54ifi-2'' o33 ^74!^ f o34o,94K co-sin. 8.57 8.58 8.58 8.58 8.60 8.60 8.62 8-63 8.62 8.63 8.63 8.65 8.65 dif.i" tang. 112° 10.034071 5 o34i236 o34 1757 o34 2279 o34 2801 o34 3333 io.o34 3847 o34 4370 0344894 o34 5418 o34 5943 o34 6468 io.o34 6994 o34 7520 o34 8047 0348574 o34 9101 034 9629 io.o35oi57 o35o686 035 131 5 o35 1744 o35 2274 o35 2805 I0.O35 3335 o35 3867 o35 4398 0354931 o35 5463 0355996 10.035 653o o35 7063 o35 7598 o35 8i33 o35 8668 o35 9303 io.o35 9739 co-sec. 8.68 8.68 8.70 8.70 8.70 8.73 8.72 8.73 8.73 8.75 8.75 8.77 8.77 8.78 8.78 8.78 8.80 8.80 8.82 8.82 8.82 8.83 8.85 8.83 8.87 8.85 8.88 8.87 8.88 8.88 8.93 8.9c:> 8.93 8.92 8.93 9.967 165960 967 1 148 59 967 0637 58 9670125 9669614 9669101 9.966 8588 966 8075 9667563 9667048 9666533 9666018 9-966 55o3 9664987 9664471 9663954 9663437 966 2920 9.966 2403 9661884 966 1 365 4o 966 0846 ~ 966 o336 9659806 9.965 9285 9658764 965 8343 965 7721 9657199 9656677 9.9656153 965 563o 9655106 965 4583 965 4o57 965 3532 9.965 3oo6 9652480 965 1953 965 1436 9650899 9650371 9.964 9843 9649314 964 8785 964 8356 964 7726 9647195 9.964 6665 9646133 964 56o3 964 5069 9644537 890 „ ^i fr"^ 8 88 9 ?64 3470 964 2937 964 2402 9641868 964 i332 964 0797 9.9640261 d.r sin. 5- 56 55 5i 53 55 5i 5f, 49 4b 47 46 45 44 43 43 4i 39 3b 37 36 35 34 53 32 3i 3o 29 28 27 26 25 24 23 33 21 20 »9 18 I" 16 15 14 i3 13 11 10 t 7 6 5 4 67« !•• 256 LO&ARITHMIC SINES, TAXf(}ENTS, &C. 1S60 ■III. did" fl(HIO€.. O 1 a 4 5 6 7 8 9 10 II 12 1 3 «4 1 5 i6 :17 i8 •9 :90 at 23 H a5 96 ■97 38 ?9 9.591 8780 59a 1755 59a 4738 5927698 5930666 593 363 f 9.593 6594 59395 594a5i3 5945469 594 84a a 5951373 9.595 43a a 595 7268 5960212 5963154 5966003 596 90 Jo 9.597 I 31 33 36 37 38 39 4oi 4i 42 44 45 46 47 48 49 5o 1 5a 54 55 56 57 58 597 4»97 597 7837 598 0754 598 3679 598' 66Q'i 9598 95a3 5993441 599 5357 599 8a7o 600 1181 6t>o 4090 3ciJ9-6oo 6997 600 9901 601 28o3 601 5703 601 8600 60a 1495 9602 4388 60a 7278 6o3 0166 6o3 5936lr°Z 603 88f 7 f"^R ■604 iMIZ'S 6o44573lj^-9j 604 7448pij J^ 6053190 ''7'*'' 605 6o57 9v6o5 8923 606 1786 606 46'47 49-58 49.55 49.50 49.47 49.4a 49.38 49.35 49-3o 49.27 49. a 2 49.18 49.15 49.10 49.07 4o.o3 48.98 48,95 48.92 48.87 48.83 48.78 48.75 48.72 48.68 48.63 48.60 48.55 48.52 48.48 48-45 48.4o 48,37 48.33 48.a8 48.25 48.22 48.17 48.13 48.10 t&ngft 47-78 47-77 47-72 47.68 6o6 75o6^;!? 607 o362 ■607 3a r6 9.607 6068 6078918 608 1 765 608 46h 47-57 47-53 47.5o 47-45 47.43 608 7454 1:!-33 609 0294 r,,. 9.6093133^^'^'' 641" sin* dif. I" 10.408 1220 407 8245 407 5272 407 23o2 4o6 9334 4066369 10.4063400 4o6 0445 4o5 7487 4o5 453i 4o5 1578 4o4 8627 10,404 5678 4o4 2732 4o3 9788 4o3 6846 4o3 3907 4o3 0970 10.402 8o35 4o2 5io3 4oa 2 1 73 4oi 9246 4oi o3ai 4oi 3398 10.401 0477 4oo 7559 4oo 464 J 4oo 1730 3998819 399 5910 10.399 3(x>3 f 99 0099 3987197 398 4297 398 i4oo 397 85o5 10.3975612 397 272a 396 9834 396 6948 396 4064 396 1 1 83 10.395 83o4 30 5427 395 255a 3949680 3946810 394 3943 1 0.394 1077 3938214 393 5353 393 a494 39a 9038 3936784 10.39a 393a 9. 392 1082 391 8235 391 5389 391 2546 3909706 10.3906867 diCl" ■«c. 9.627 85 19 r,> 628ao3i ^ 6a8 5540 6a8 9048 629 2553 629 6*>57 9.639 0558 630 3o58 63o6556 63 1 oo52 63 1 3545 63i 7037 9.632 o527 632 4oi5 632 75oi 633 0985 633 4468 633 7948 9.634 1426 634 49t>3 6348378 635 i85o 635 5321 635 8790 j.6.36 22D7 636 5722 636 9185 637 2646 6376106 637 9563 ?638 3oi 638 647 6389925 639 3375 6396823 6400269 ).64o37i4 64o7i56 641 0597 64 1 4oS6 64 1 7473 642 0908 (.642 4342 642 7773 643 iao3 643 463 643 8o57 644 i48i .644 490^3 64483a4 645 1743 645 5 160 645 8575 ^ 646 1988!^^ ;! 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 5? 57 57 57 57 5" 5- 57 57 57 57 57 57. 57. 57- 56- 56 56 .53 .48 •47 .42 .40 .35 33 3o .a7 22 20 17 .13 .10 .07 ,o5 co-tang. 646 5400 6468810 647 2217 647 56a4 647 9038 648 a43t .648 583i oo-tfltng. 56 56 56 56 56 56 .00 .95 i7 .85 .8a .78 ■.75 ■72 68 .67 60 .57 .53 .5o .47 43 .42 37 35 .3a .28 '5 .a3 .18 .17 i3 ro -07 .o3 02 ■98 .95 ■9a 88 .87 .83 .78 .78 ,73 ,72 67 me. 10.37a i48i 371 7969 371 4460 371 0952 370 7447 370 3943 10.370044a 369694a 369 3444 3689948 368 6455 368 3963 10.3679473 367 5985 367 2499 3669015 366 5532 366 2o52 10.365 8574 365 5097 365 1622 3648i5o 364 4679 364 1210 I0.363 7743 363 4278 363o8i5 36a 7354 362 38o4 362 0437 io.36r 6981 36i 3^27 36i 0075 36o 6655 36t>3i77 3599731 10.3596286 359 2844 358 94o3 358 5064 358 2527 3579099 10.357 5658 357 aaa7 356 8797 356 5360 356 1943 355 8519 10.355 5097 355 1676 354 8a57 354 484o 354 i425 353 801a 10.353 4600 353 1 190 35a 7783 35a 4376 35a 007a 35 1 7569 io.35i 4169 diCl If tang. io.o35 o36 o36 o36 o36 o36 io.o36 o36 o36 o36 o36 o36 !o.o36 o36 o36 o36 o36 o36 T0.o36 o37 o37 o37 o37 o37 10.037 o37 o37 o37 o37 o37 io.o37 o37 o37 o37 o37 o37 io.o37 o37 o38 o38 o38 o38 io.o38 o38 o38 o38 o38 o38 10.038 o3« o38 o38 o38 o38 io.o38 o38 039 039 039 039 10.039 9739 0276 o8i3 i35o 1888 24a6 2964 35o4 4*>43 4583 5i23 5664 6205 6747 7289 7832 8375 8918 9462 0006 o55i 1096 i64a a 188 2734 3281 3838 4376 4924 5473 6022 6572 7122 7672 8223 8774 93a6 9878 043 1 0984 i537 2001 2645 3 200 3755 43 1 1 4867 5424 5980 6538 7096 7654 82i3 8772 9332 9892 o452 ioi3 1 574 2i36 2698 d. 1' I 8.95 8.95 8.97 8.97 8.97 ,00 98 9.00 9.00 9.02 9.02 9.03 9.o3 9.o5 9.o5 9.o5 907 9.07 9.08 9.08 910 9.10 9.10 9.12 9.1a 9.i3 9.13 9.i5 9.15 9.17 9.17 9,17 918 9.18 eo-«tit. 9.964 963 963 963 963 963 9.963 963 963 963 963 963 9.963 963 963 963 963 963 9.963 96a 962 962 962 962 9.962 962 962 96a 962 962 9.962 962 962 962 962 962 9'°;9.962 9'«^962 922 ^- 9.2a 9-23 9.23 9.23 925 9-25 927 9.37 9.28 9.27 9-3o 9.30 9.3«> 9.32 9.3a 9.33 9.33 9.33 9.35 9.35 9.37 9.37 co-aec. 961 961 961 961 9.961 961 961 961 961 961 9.961 961 961 961 96, 961 9.961 961 960 960 960 960 9.960 d. l" oa6i 9724 9187 865o 8112 7574 7o36 649f> 5937 5417 4877 4336 3795 3253 2711 2168 1625 1083 o538 9994 9449 8904 8358 7813 7266 6719 6172 5634 5076 4537 3976 3428 2878 2338 177-7 1226 0674 0122 9569 9016 8463 79*»9 7355 68o< 6245 56Py 5i3j 4576 4o^< > 346^ o34f) 178- 1228 0668 0108 9548 8987 8426 7864 73o2 ^ 60 5 57 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4i 4o 39 3}i 37 36 35 34 33 32 3r 3v, 29 28 27 36 25 74 23 22 21 3f» •9 18 I 16 i4 i3 13 I I !(^ 9 8 7 6 5 4 nn. 113«> 6G0 LOGARITHMIC SINES, TANGENTS, &€ . 257 240 1550 sin. did" n 3 4 5 6 s\ 9 10 II 2 i3 r4 i5 16 17 18 '9 ao ai 33 a3 34 35 26 37 28 39 3o 3i 3a 33 34 35 9.6093133 .^^ 609 5960*^7.27 6o9 88oi^7-^3 61Q i635^"7-'" 610 4465 J7-;7 610 7293 y-'^ .61 r 01 [817-08 co-sec. 47.05 47.02 46.97 611 3941 6f I 5762 611 8580i ,- 'j. 613 1397^2-95 6124211 j^r 9.612 7023 j^«7 6129833;^^°^ 6i3 264il^S^? 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'"• 9.7347644!^^-'' 735o656 5o-^« 735 3667^^" 735 6677 735 9685'^"- •' 736 3693 1 2°-^^ 9-736 5699 ^° 736 8705 737 1709 737471a 7377714 73807.5 9-738 3714 7386713 7389710 739 2707 739 5702 7398696 9.740 .689 740 468 1 740 7672 74 1 0662 74 1 365o 74 1 6638 9.741 9624 742 2609 74a 5594 743 8577 743 1559 743 4540 9.743 7520 50.43 5o.4o 5o.4o 5o.37 5o.35 50.33 5o.32 5o.3o 5o.38 5o.25 5o.25 5o.i7 5o.i3 i3 ..o 5o.fo 5o.07 5o-o5 5oo3 5o-o2 4998 4998 4995 4995 4992 4990 49-88 49.87 49-85 49-83 4980 4980 49-77 49-75 49-75 49.7 a 49.70 49-68 49.67 co-tang. diCl" 10.274 3356 374 0209 273 7163 27341 19 273 1075 372 8o33 10.272 4992 272 1952 271 89.3 271 5876 271 2839 270 9804 10.2706770 270 3737 270 0705 269 7675 269 4646 369 .6.7 10.268 8590 268 5564 268 2540 26795.6 267 6494 267 3473 10.2670453 366 7434 2664416 366 1399 265 8384 265 5369 10.265 2356 364 9344 264 6333 264 332 3 264 o3 1 5 263 73o7 10.263 43oi 263 .295 362 8291 262 5288 262 2286 261 9285 10.26. 6286 261 3287 261 0290 260 7293 260 4298 260 1 3o4 10.25983.1 3595319 3.59 2328 258 9338 358 635o 258 3362 10.258 0376 257 7391 257 44o6 257 .423 256 8441 256 5460 10.256 3480 dif. I'- ll. 30 II. 30 11.22 11.22 11.23 11.25 I 1.23 11.27 11.25 IF. 27 11.28 11.28 1 1 .3( ii.3o .1.32 I I .32 11.32 11.33 11.35 11.-33 11.37 11. 37 11.37 tang. io.o54o65. o54i323 o54] 995 0542668 0543341 o544o.5 10.0544690 0545364 o546o4o 05467 . 5 054739.1 o548o68l 10.0548745 0549423 o55o.o. 0550780 055.459 o552i38 io.o5528i8 0553499 0554179 o55486i 0555543 o556225|"-^^ 10.0556908 '^■''8 055759. 0558275 0558959 0559644 o56o329 io.o56.oi5 o56i7o. 0562388 o563o75 0563762 o56445 I fo.o565.39 0565828 o5665i8 0567208 0567898 0568589 1 0.0569" 3ii 0569972 0570665 0571357 o572o5 1 0572745 10.0573439 o574i34 0574829 0575524 0576221 0576917 10.0577614 05783 12 0579010 0579709 o58o4o8 o58i 107 io.o58i8o7 9.9459349'6o co-«]n. co-sec. II 38 H.40 1 1.40 11.42 11.42 11.43 11.43 11.45 ■11.45 11.45 11.48 11.47 11.48 ii.So 11. 5o ii.5o 11.5? 1 1.52 .1.53 11.55 11.53 11.57 11.57 11.57 11.58 11.58 11.58 11.62 11.60 11.62 11-63 .1.63 11.65 11.65 II 65 11^ diCl" 9458677 9458005 9457332 9456659 9455985 9.94553.0 9454636 9453960 9453285 9452609 9451932 9.9451255 945o577 9449899 9449220 944854 9447862 9.9447182 9446 5o. 944582 1 9445139 944445- 9443775 9.9443092 9442409 9441725 944104. 944o356 943967 . 9.9438985 9438299 9437612 9436925 9436238 9435549 9.9434861 9434172 9433482 9432792 9432102 943.411 9.9430720 9430028 9429335 9428643 9427949 9427355 9.9426561 9425866 942517 9424476 9423779 9423o83 9.9422386 9431688 9420990 942029. 9419592 9418893 9.9418193 5^ 58 57 56 55 54 53 52 5. 5o 49 48 47 46 45 44 43 4a 4t 4o 139 38 37 3( 35 34 33 32 3. 3o 29 28 27 26 25 24 23 22 2. 20 19 18 I 16 i5 i4 i3 12 II 10 I 1 6 5 4 BIO. US'* 610 262 L06AEITHMIC SINES, TANGENTS, &C. W^ 150° •in. o I 9 3 4 5 6 7 8 91 lo II 12 t3 i4 1 5 i6 17 i8 19 20 ai a3 diC 1' 9.6855712 ^5 7991 686 0267 686 a54^ 6864816 6867088 9.686 9359 687 i6a8 6873895 687616 687 8425 6880688 9.688 2949 688 5209 688 7467 688 9723 689 1978 6894232 9-689 6484 689 8734 6900983 6903231 1— 690 5476 6907721 . 9.690 9964 25 691 22o5 26 6914445 27 691 6683 28 691 8919 39 692 r 1 55 30 9.692 3388 3 1 692 5620 32 6927851 33 6930080 34 693 23(>8 35 6934534 36 9693 6758 37 6938981 38 694 i2o3 39 694 3423 40 6945642 4i 694 7859 42 9.695 0074 43 6952288 44 695 45oi 45 6956712 46 695 8922 47 6961130 4896963336 49 6965541 50 696 7745 5i 696 9947 5a 697 2148 53 697 4347 54 9-^97 6545 55 6978741 ^,^„ 56 6980936^-^° ^ ^c'!? 36.53 37.98 37.93 37.92 37.Q0 37.87 37.85 37.82 37.78 37.77 37.73 37.72 37.68 37.67 37.63 37.60 37-58 37.57 37.53 37.50 37.48 37,47 37.42 37.4a 37.38 'J / **^^ 37,33 37,30 37.27 37.27 37.2a 37.20 37.18 37.15 37.13 37.10 37.07 37.05 37.03 37.00 36.98 36.95 36-95 36.90 36.88 36.85 36-83 36.8o 36.77 36.75 36.73 36.70 36.68 36.65 36.63 36.6o 36.58 li*U"^t?l»» 10.31442889.7437520 3142009 7440499 3i3 9733 7443476 3i3 7458 7446453 3i3 5i84 7449428 ■ 3i3 2^12 745 24o3 10.3 1 3 0641 9.7455.376 tuut* dif.l" 312837a 3i 26105 3i2 3830 3i2 1573 3ii 93i2 io.3ii 7o5i 3ir 4791 3ii 2533 3ii 0277 3io8oa2 3 10 5768 io.3io35i6 3io 1266 3099017 309 6769 3094524 309 2279 10. .^ 6985331 59 698751 1 9.698 9700 60 eo-«an. di£ 1 36. 5o 36.48 3o 308 5555 3o8 33i7 3o8 io8f 3o7 8845 10.3076613 3f»7 438o 3o7 2149 3069920 3067692 3o6 5466 io.3o6 3242 3o6 1019 3o5 8797 3o5 6577 3o5 4358 3o5 2i4i io.3o4 9926 3o477i2 3045499 3o4 3a88 3o4 1078 3o3 8870 io.3o3 6664 3o3 4459 3o3 2255 3o3 oo53 3o2 7852 3o2 5653 io.3o2 3455 3o2 1259 3oi 9064 3oi 6871 3oi 4679 3oi 2489 io.3oi o3oo 745 8349 746 1 3 20 746 4290 746 7339 747 0237 .747 3194 747 6100 7479125 748 3089 748 5o52 748 801 3 9.749 0974 749 3934 749 6892 749 9850 750 2806 750 5762 oo36J9,75o87i6 7"'95| 75i 1669 75 1 4632 75i 7573 752 o523 752 3472 9.752 6420 7529368 753 a3i4 753 5259 753 8203 754 1 1 46 9.754 4088 754 7029 7549969 755 2008 755 5846 755 8783 9.756 1718 756 4653 756 7587 757 o52o ,f. „ 757 34521^2 ?Z 757 6383 9.7579313 758 2242 7585170 758 8096 759 1022 759 3o47 9.7596871 7599794 7602716 760 5637 760 8557 761 1476 9.761 4394 49*65 49-62 49*62 49-58 49.58 49-55 49.55 49-52 49- 5o 49.48 49.47 49.45 49*43 49.42 49.40 49.38 49.35 49.35 49.33 49.30 49.30 4927 49.27 49-23 49- 2 2 49-22 49.18 49.17 49-15 49- 1 3 49-13 49.10 49.08 49.07 49.05 49.03 49.02 49.00 48.98 48.97 48.95 48.92 48.93 48.90 48,88 eo-tang. co-tang. 48.85 48.83 48.82 48.80 48.77 48.77 48.75 48.73 48,72 48.70 48.68 48.67 48.65 48.63 dif. 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I0.22I 2263 10.0669344 aec. co-tan;. dif. 1" 220 9401 220 654 220 3682 220 0823 2197966 10.219 5lOQ 219 225.1 2189398 218 6544 2i8 36oi 2i8o838 10.2177987 2i75r36 2172287 2169438 2166590 2163742 10.2160896 2i5 8o5i 2i5 52o6 2l5 2362 214 9519 2146677 10.214 3836 2140996 2i38i56 2i3 53i8 2i3 3480 2 1 2 9f >43 10.212 6fco7 212 3972 212 1 l37 211 83o4 an 5471 211 2639 10.2109808 2106977 2io4i48 aio i3i9 209 8492 2095665 10.209 2839 2090013 2087189 208 4365 208 i542 207 8720 10.207 5899 207 3079 207 0259 206 744o 206 4622 206 i8o5 10.2058989 2o5 6i73 2o5 3359 2o5 o545 204 7732 2044919 10.204 a 108 di£ 1" 0670103 0670863 0671624 0672384 0673146 10.0673908 0674670 0675433 0676196 0676960 0677724 10.0678489 0679254 0680020 0680787 0681553 0682321 10.0683089 ©683857 0684626 0685395 ; 0686165 0686935 10.0687706 0688478 0689250 0690022 o69<^>795 0691568 10.0692342 0693117 0693891 0694667 0695443 0696219 10.0696996 0697774 0698553 0699330 0700109 0700688 10.0701668 0702449 07033 3o 070401 1 0704793 0705576 10.0706359 0707 1 4 J 0707977 0708711 0709496 0710282 10.0711068 0711855 0712643 0713429 0714217 0715006 10.0715795 tan;. 12.65 12.67 12.68 12.67 12.70 12.70 12.70 12.72 12.72 12.73 12.73 12.75 12.75 12.77 12.78 12.77 12.80 12.80 12.80 12.82 12.82 2.83 12.83 12.85 12.87 12.87 12.87 I -.88 12.88 1 "'.90 12.92 12.90 12.93 12.93 12.93 12.95 12.97 12.97 '3.97 12.98 12.98 13.00 1 3.02 1 3.02 1 3.02 i3.o3 i3.o5 i3.o5 13.07 13.07 i3o7 13.08 i3 10 i3.io l3.I2 13.12 l3.I2 i3.i3 i3.i5 i3.i5 co-am. 9,9330656 60 9329897 59 93291 J7 58 9328376 57 9327616 9326854 9.9326003 9325330 932456- 9323804 9323o4o 9322276 9.9321511 9320746 93 1 9980 93 1 92 1 3 9318447 9317679 9.9316911 9316143 93 1 5374 93i46o5 93 1 3835 93i3o65 9.9312294 93ii533 9310750 9309978 9309305 93ob432 9f93o7658 9306883 9306109 93o5333 9304557 930378 9.93o39 18 •7 16 i5 i4 1 3 13 co-sflc. dif. 1" lin. 147= ■in. o I 2 3 4 5 6 7 8 9 to II 12 i3 i4 i5 10 17 18 *9 20 21 22 23 24 25 26 9.724 2097 72441 18 724 6 1 38 724 8 1 56 7250174 725 2189 9.725 4204 7256217 7258229 7260240 726 3249 7264257 9.726 6264 726 8269 7270273 727 2276 7274278 727 6278 9.7278277 728 0275 728 2271 728 4267 diCl" 33.68 33.67 33-63 33.63 33.58 33.58 33.55 33.53 33.52 33.48 33.47 33.45 33.42 33.40 33.38 33.37 33.33 33.32 33.3o 33.27 33.27 33.22 co-sec. 728 6260 „■ 72882531(1" 9.7290244^3^° .7^9 23341^3^-^ 7294223 -»• o 27 7296211^^'^ 28 7298107 29 7300182 309.730 2i65 3i 73o4i48 32 7306129 33 7308109 34 73 1 0087 35 73 1 2064 36 9.73 1 4o4o 37 73i6oi5 38 73 1 7989 39 73 1 9961 40 732 1932 41 732 3902 42 9.732 5870 43 7327837 44 732 9803 45 7331768 46 7333731,^^^ 9-Z? 1^^32.67 1210 580 47 48 49 5o 5i 52 53 54 55 56 57 58 U 33.10 33.08 33.05 33.05 33.02 33.00 32-97 32.95 32.93 32.92 32.90 32.87 32.85 32.83 32.80 32.78 32.77 32.75 32.72 7339614 734 1572 734 3529 :J^-^ 734 5485p='-^ 734 7440 9-734 9393 735 1345 7353296 735 5246 7357195 7359142 9.736 1088 co-8in. 32.63 32.62 32.58 32.55 32.53 32.52 32. 5o 32.48 32.45 32.43 did" 10.275 7903 275 5882 275 3862 275 1 844 274 9826 274 78 1 1 10.274 5796 274 3783 274 1771 273 9760 273 775 1 273 5743 10.273 3736 273 173 1 272 9727 272 7724 272 5722 272 3722 10.272 1723 271 9725 271 7729 271 5733 271 3740 271 1747 10.2709756 270 7766 270 5777 270 3789 270 i8o3 2699818 10.269 7835 269 5852 2693871 269 1891 2689913 268 7936 10.268 5960 268 3985 268 201 1 2680039 267 8068 267 6098 10.26741 JO 267 2 1 63 267 0197 2668232 266 6269 266 4307 10.266 2346 266 o386 265 8428 265 6471 265 45 1 5 265 256o 10.265 0607 264 8655 264 6704 2644754 264 2805 264 o858 10.2638912 tang. 9.795 7892 796 0703 7963513 7966322 7969130 797 1938 9.797 4745 7977551 798 o356 7983160 79« 5964 798 8767 9.7991569 799 4370 7997170 7999970 800 2769 800 5567 9.800 8365 801 1 161 801 3957 801 6752 801 9546 802 2340 9.802 5i33 802 7925 8030716 803 35o6 8o3 6296 803 9085 9.804 1873 8044661 804 7447 805 0333 8o5 3oi9 805 58o3 9.805 8587 806 1370 8o6 4i52 806 6933 8069714 807 2494 9.807 5273 807 8o52 808 0829 808 36o6 808 6383 8089158 9.809 1933 809 4707 809 7480 8100253 8io3o25 810 5796 9.8108566 811 1 336 811 4io5 811 6873 811 9641 812 2408 9.812 5174 dif. I" 46.85 46.83 46.82 46.80 46.80 46.78 46.77 46.75 46.73 46.73 46.72 46.70 46.68 46.67 46.67 46.65 46.63 46.63 46.60 46.60 46.58 46.57 46.57 46.55 46.53 46.52 46.5o 46.50 46.48 46-47 46-47 46.43 46.43 46.43 46.40 46.40 46-38 46.37 46.35 46.35 46.33 46.32 46.32 46.28 46.28 46.28 46.25 46.25 46.23 46.22 46.22 46.20 46.18 46.17 46.17 46. 1 5 46.1 3 46.1 3 46.12 46.10 co-tang. sec. 122° co-tang. 34 dif.r io-2o4 2108 2o3 9297 2o3 6487 2o3 3678 2o3 0870 202 8062 10-202 5255 202 2449 201 9644 201 684o 201 4o36 201 1233 10.2008431 200 563o 200 283o 2oooo3o 1997231 1994433 10.199 i635 198 8830 1986040 1983248 1980454 1977660 10.1974867 197 2075 1969284 196 6494 1963704 196 0915 10.1958127 195 5339 195 2553 1949767 194 6981 194 4197 10.194 i4i3 193 863o 193 5848 193 3067 193 0286 192 7506 10.192 4727 192 1948 191 9171 191 6394 191 3617 191 0842 10.1908067 1905293 190 2520 1899747 1896975 1894204 10.189 1434 188 8664 188 5895 188 3 127 1880359 187 7592 10.1874826 sec. dif.1" co-ein. 10.0715795 q '9-928420560 07l65tt5j3j^ 9283415 '^'J 0717375, o",Z 9282625 l3.22 l3.22 i3.23 i3.23 1 3.25 i3.25 l3.27 l3.37 13.28 13.28 i3.3o i3.3o i3.32 i3.33 i3-33 i3.33 i3.35 taug. 8i-y; l3. 18 1 66 , o . ^L or I J- 10 ^7^^957,^3.20 0719749,320 10.0720541 0721334 0722127 0722921 0723715 0724510 10.0725305 0726101 0726897 0727694 0728491 0729289 10.0730087 0730886 0731686 0732486 0733286 0734087 q qr 10.0734888 "^"^^ 0735690 0736493 0737296 0738099 0738904 10.0739708 074o5i3 074i3i9 0742125 0742931 0743739 10.0744546 0745354 0746163 0746972 0747782 0748592 10.0749403 0750214 0751026 0751839 0752651 0753465 10.0754279 0755093 0755908 0756723 0757539 0758356 10.0759173 0759990 0760809 0761627 0762446 0763266 10.0764086 co-sec. 5^ 58 9281834 9281043 56 9280251 55 9.9279459 54 9278666 53 9277873 52 927707951 9276285 5o 9275490 49 9.9274695 48 9273899 47 927310346 9272306 45 927150944 9270711 43 9.9269913 42 93691 14 4i 926831440 9267514 39 9266714 38 9265913 37 i3.3^j9-9265u2 36 1 3.38 i3.38 1 3.38 13.42 1 3.40 13.42 13.43 13.43 13.43 1 3.47 i3.45 13.47 1 3.48 i3.48 i3.5o i3.5o i3.52 i3.52 13.53 i3.55 i3.53 13.57 13.57 i3.57 1 3.58 i3.58 i3.6o 13.62 13.62 i3-62 i3-65 i3.63 13.65 13.67 13.67 9264310 35 9263507 34 9262704 33 9261901I32 9261096 3i 9.9260292 9259487 925868 9257875 9257069 9256261 9.9255454 9254646 9253837 9253028 9252218 925i4o8 9.9250597 9249786 9248974 9248161 9247349 9246535 99245721 9244907 9244092 9243277 9242461 9241644 9.9240827 924fK)IO 9239191 9238373 9237554 9236734 9.9235914 dif.l" 3o 29 28 27 26 25 24 23 22 21 20 19 18 n 16 i5 i4 i3 12 11 10 9 8 7 Bin. 570 W III A f ^^Hmnl'"' 266 LOeABITHMIG 9INBS, TANOENTS, &C. 1 .a 31 4 5 6 7 8 9 10 ii la i3 1 4 i5 i6 17 i8 •9 ai 23 31.58 3f.57 3 1. 53 31.53 3i.5o 3 1.48 31.45 31.45 31.42 3 1.40 3 1. 38 3 1. 37 3 1. 32 3i.3o 31.28 3i.27 3i.25 3i.23 261 3727 a6i 1799 3609671 3607945 a6o6oao 10.3604096 3602173 2600252 2598332 2596413 2594495 we. 10.259 2579 9-^*9 '^4S 25oo663 8194096 2588749 8196844 2586836 8199592 258 4925 820 2338 258 3oi4 820 5o84 10.258 iio5 816 1068 816 3824 6i6658o 8169335 817 2089 9.817 4842 8177595 818 0347 8183098 818 5849 8188599 diCl" 2579197 257 7290 257 5384 3573480 257 1577 10.2569675 a 56 7774 256 5874 3563976 256 2079 256oi83 10.255 8288 255 6394 255 45o2 255 2610 255 0720 2548831 10.2546944 254 5o57 254 3172 2541288 253 94o5 253 7523 10.253 564' 253 3763 9.820 7829 253 1 885 253 0008 2528132 252 6257 10.252 4383 831 0574 821 33 17 821 6060 8ai88o3 823 1545 9.823 4286 822 7026 8229766 823 25o5 823 5244 8237981 9824071 824345 8246191 824 8926 825 1660 8a5 4394 9.8257127 8259860 826 2592 826 5323 8268053 827 0783 9-827351 3 827 6241 827 8969 8281696 828 4423 828 7149 9.828 9874 SCCd 45.98 45.98 45.98 45.95 45.95 45.93 45.93 45.9a 45.90 45.88 45.88 45.87 45.85 45.85 45.83 45.82 45.80 45.80 45.80 45-77 45-77 45.75 45.75 45^2 45.72 45.7a 45.70 45.68 45.67 45.67 45.65 45.65 45.62 45.63 45.60 45.60 45.58 45.57 45.5? 45.S5 45.55 45.53 45.5? 45.5o 45. 5o 45.5o 45.47 45.47 45.45 45.45 45.43 45.42 co-tan|;. 10.187 4636 187 2061 18602 18665 1863769 186 1007 10.1858245 1 85 5484 i85 2723 1849964 1 84 7205 1844446 10.184 1689 1838933 1836176 i83 3420 i83o665 182 7911 10.182 5i58 182 24o5 181 9653 181 6902 j8i4i5i 181 i4oi 10.180 865? 1805904 i8o3i56 1800408 1797662 1794916 10.170 2171 1709426 1786683 1783940 178 1197 1778455 10.1775714 177 2974 177 0234 17^7495 1764756 176 2019 10.1759281 175 6545 1753809 175 1074 1748340 174 5694 10.0783927 0784760 0785594 0786428 0787263 0788098 10.0788934 0789771 0790607 0791445 0792283 0793122 10-0793961 0794800 0795640 0796481 0797323 0798164 10.0799006 0799849 0800692 080 1 536 0802 38 1 o8o3225 10.0804071 0804917 0805763 0806610 0807458 o8o83o6 10.0809155 0810004 0810854 0811704 0812555 081 3406 1 0.08 1 43 58 diCl" did" tang. co-sec. 1 3.68 i3.68 13.70 13.70 13.72 13.72 13.73 13.73 13.75 13.75 13.77 13.77 13.78 i3.8o i3.8o i3.8o 13.83 13.82 i3.83 i3.85 i3.85 13.87 13.87 i3.88 13.88 13.90 13.90 13.92 13.92 1 3.93 13.95 13.93 13.97 1397 13.98 13.98 13.98 14.00 14.02 l4.02 i4.o3 i4.o3 i4.o5 i4.o5 14.07 i4-o? 14.07 14.10 t4.io i4io 14.12 14. 1 3 i4.i3 i4.f co-nii. 9.9233914 9235093 9234772 923345© 9232628 923i8o5 55| 60 58 57 561 52 5i 5o 49 48 47 46 45 44 43 4^ 4i 4o 39 38 37 36 35 34 33 32 3i 3o 29 28 27 26 25 24 23 22 21 20 '9 f8 17 ifi i5 r5 i4-i5 14.17 14.17 14.18 14.18 14.20 dif.l" 9.9230982 541 9230 1 58 53 9229334 9228509 9227684 9226858 9^9226032 9225205 9224377 9223549 9222721 9221891 9.9221062 9220233 9219401 9218570 9217738 92 16906 9.92r6o73 9215240 9214406 9213573 92127.37 9211902 9.92ru)66 9210320 9200393 9208555 9207717 9206878 9.9206039 9205300 9204360 9203519 9202678 9201 8 36 9.9200994 930or5i 9199308 9198464 9197619 14 91 96775:1 3 9.9195959 9195083 9194237 9193390 9192542 9191694 9.9100845 9189996 9189146 9188296 9187445 9186594 9.918574? nn. 13 I 10 6 5 4 3i 2 1 Oi 560 LOGARITHMIC SINES, TANGENTS, &C. 267 34» 1450 no. 3 4 5 6 7 8 9 io II 12 i3 ^ i5 16I 17 18 19 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 60 9.7475617 747 7489 747 9360 748 I23o 748 3099 7484967 9.748 6833 748 8698 749 o562 749 2425 749 4287 7496148 9.749 8007 7499866 750 1723 75o 3579 75o 5434 750 7287 9.7509140 75 1 0991 75 1 2842 75 1 4691 75 1 6538 75 1 8385 9.752 023 1 752 2075 752 3919 752 5761 752 7602 752 9442 9.753 1 280 7533118 753 4954 753 6790 753 8624 754 0457 9.754 2288 7544119 754 5949 754 7777 7549604 755 i43i 9.755 3256 755 5o8o 755 6902 755 8724 756 o544 756 2364 9.7564182 756 9630 757 1444 757 3256[ 9.757 5o68j 757 6878 757 8687 758 0495 758 23o2 758 4io8 97585913 fiCl" e«-«tii. 3l.20 3i.i8 3i.i7 3i.i5 3i.i3 3i.io 3i.o8 31.07 3i.o5 3i.o3 3 1 .02 30.98 30.98 30.95 30.93 3092 3o.88 30.88 30.85 3o.85 30.82 30.78 30.78 30.77 30.73 30.73 30.70 30.68 30.67 30.63 3o.63 3o.6o 3o.6o 3a 57 30.55 3o.52 3o.52 3o.5o 3o.47 30.45 30.45 30.42 3o.4o 30.37 3o.37 30.33 30.33 3o.3o 1 30.28 1 30.27 I30.25 3o.23 3o.2o 3o.2o 30.17 3o.i5 3o.i3 3o.i2 3o.io 3o.o8 co-tec 10 10 CO 10 10 10 10 10 [0 10 did' 10 252 4383 252 25ll 2520640 25 1 8770 25i 6901 25 1 5o33 .25i 3167 25l |302 aSo 9438 a5o 7575 25o57i3 25o3852 .25o 1993 25ooi34 249 8277 2496421 249 4566 2492713 .249 0860 248 9009 ^48 7158 248 5309 248 3462 248 i6i5 .247 9769 247 7935 2476081 247 4239 247 2398 247 o558 .246 8720 2466882 246 5o46 246 3210 246 1376 345 9543 .245 7712 245 588! 245 4o5i 245 2223 245 o3( 24485^ .244 6744 244 4920 2443098 344 1276 243 9456 243 7636 .243 58i8 243 4ooi 2432185 243 0370 242 8556 242 6744 242 4932 242 3X22 242 i3i3 a4i 95o5 241 7698 a4i 5802 .341 4087 •ee. tang. 9.828 9874 829 2590 8295323 8298047 830 0769 83o 3492 ^.83o^2i3 830 8934 83i i654 83 1 4374 83 1 7093 83 1 981 ^.832 2529 832 5246 832 7963 833 0679 833 3394 8336109 ?.833 8823 8341 536 834 4249 8346961 834 9673 835 2384 ?.835 5094 835 7804 836o5i3 836 3221 836 5929 836 8636 ?.837 1 343 837 4o49 8376755 837 9460 838 2164 838 4867 >.838 757i 839 0273 839 2975 839 5676 8398377 840 1077 >.84o 3776 8406475 840 9174 84i 1871 84i 4569 84i 7265 ►.841 9961 842 2657 842 535 1 842 8o46 843 0739 843 3432 1.843 6x25 843 88x7 844i5o8 8444199 844 6889 844 9579 1.845 2268 diCl" 45 45 45 45 45 45 45 45 45 45 45 45, 45 45 45 45 45 45 45 45 45 45 45 45, 45. 45, 45. 45. 45. 45. 45. 45. 45 45 45 45 45 45 45 45 45 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 42 .40 4o 37 38 35 35 33 33 32 3o 3o 28 28 co-tang. 10 co-tang. .27 .25 .25 .23 .22 .22 .20 .20 .18 •17 •17 .i5 .i3 .13 .12 .12 .10 .10 .08 .07 .o5 .07 .o3 ,o3 .02 .02 .00 ,98 98 .98 .95 .93 .93 .93 ,90 .92 .88 .88 .88 .87 .85 .85 83 83 .82 10 10. 10 10 10 10 dif.l" 10 10, 10, 10, •ec 71 0126 70 7401 704677 70 1953 699231 696508 69 3787 69 1066 68 8346 68 5626 68 2907 680189 677471 674754 67 2o37 669321 666606 66 389 66 1177 65 8464 65 5751 65 3o39 65 o327 647616 644906 64 2196 63 9487 63 6779 63 4071 63 1 364 62 8657 62 5951 62 3245 62 o54o 61 7836 6r 5x33 61 2429 609727 607025 604324 60 1623 59 8923 596224 59 3525 59 0826 588129 58 543 X 58 2735 58 0039 57 7343 57 4649 57 1954 569261 56 6568 56 3875 56 1x83 55 8492 555801 55 3x11 55 0421 54 7732 [o.o8i4258 o8i5iio 0815963 0816817 0817671 o8i8525 iox>8i938o 0820236 0821092 0821949 0822806 0823664 10.0824522 0825381 0826240 0827100 0827960 0828821 10.0829683 o83o545 o83i4o7 0832270 o833x34 0833998 io.o834863 0835728 0836594 0837461 0838327 0839195 io.o84oo63 0840931 o84i8oo 0842670 0843540 084441 I 10.0845282 o846i54 0847026 0847899 0848772 0849646 io.o85o52i 0851396 0852271 o853i48 0854024 0854901 10.0855779 0856658 0857536 o8584i6 0859296 0860176 10.0861057 0861939 0862821 0863704 0864587 0865470 I0.0866355 at 1" tang. I co-sec. i*«^ 9-9^85742 4'^^^Ji.QXRr^ 4.22 4-23 4.23 4.23 4.25 4.27 4-27 4.28 4.28 4.3o 4.3o 4.32 4.32 4.33 4.33 4.35 4.37 4.37 4.37 4.38 4.4o 4.40 4.42 4.42 4-43 4.45 4.43 4.47 4.47 4.47 4.48 4.5o 4-5o 4-52 4.52 4.53 4.53 4.55 4.55 4.57 4.58 4-58 4.58 4.62 4.60 4.62 4.63 4.65 4-63 4.67 467 4.67 .68 .70 70 72 .72 .72 co-«tn. 60 59 4. 4.75 9.9144221 9143342 9142464 9i4i584 9x40704 9139824 9.9138943 913806 I 9137179 9136396 9i354i3 9i3453o 9.9133645 58 5i 9184890 9184037 91 83 1 83 57 9182329 56 9x8147^55 9.9x80620 54 9179764 53 9178908 5 9178051 5 9177194 5o 917633649 9.9x7547848 917461947 9173760 46 9172900 4" 9172040 44 9171 179 43 9.91703174 9169455 4 916859340 9167730 39 9166866 38 9166002 3 9.9x65137 36 9164272 35 9163406 34 916253933 9161673 32 9160805 3 1 4.47 9-9' ^993730 ^^' 90006929 9158200 28 9157330 27 9] 5646o 26 915558925 9.91 547 1 8 24 9(53846 23 9x52974 22 9152x01 21 9x5x228 20 9i5o354 19 9.9149479 18 9148604 17 9x47729 16 9x46853 1 5 9145976 x4 9145099 1 3 di£ 1" am. 12 II xo 9 8 7 6 5 4 3 2 I o 1240 550 4 ilil 268 LOGARITHMIC SINES, TANGENTS, &C. 350 1440 ■IQ. O I a 3 4 5 6 7 8 9 10 1 1 1 3 i5 16 17 tU 19 ao at I 23 23 33 26 ay 28 9.7585913 758 77*7 7589519 759 1 32 I 7593121 759 4920 9.7596718 7598515 760031 1 7602106 7603899 7605692 9.760 7483 7609274 761 io63 761 285 1 761 4638 761 6424 9.761 8208 761 9992 762 1775 762 3556 762 5337 762 7116 9.762 8894 7630671 7^3 2447 763 4222 763 5996 763 7769 30J9.763 9540 764i3ii 764 3o8o 764 4849 7646616 764 8382 9.7650147 765 1911 765 36-t4 39I 765 5436 7657197 765 8957 9.7660715 766 2473 7664220 766598 766 7739 7669492 9.767'i244 767 2996 767 4746 767 6494 767 8242 7679989 9.768 T735 768 3480 768 5223 7686066 7688^07 769 o448 9.7692187 dif. 1" 3i 32 33 34 35 36 37 38 40 4i iB 44 45 4? 48 49 5o 5i 53 54 55 56 5? 58 59 6( V'W* Sl.lil* 3o.o7 3o.o3 3o.oo 29.98 29.97 29.95 29.93 29.92 29.88 29.88 29,85 29.85 29.82 29.80 29.78 29.77 29.73 29.73 29.72 29.68 2968 29.65 29.63 29.62 29.60 29.58 29.57 29.55 29.52 29.52 29.48 29.48 29.45 29.43 29.42 29.40 29.38 29.37 29.35 29.33 29.30 29.30 29.27 29.27 29.23 2922 29.20 29.20 29. 1 7 29. 1 3 29. 1 3 29.12 29.10 29.08 29.05 29.05 29.02 2Q.02 28.98 co-tec 1 0-24 1 4087 241 2283 241 o48i 240 8679 240 6879 240 5o8o 10.2403282 240 1 485 239 9689 239 7894 2396101 2394308 10.2392517 239 0726 a38 8937 238 7149 238 5362 238 3576 10. 238 1792 238 0008 2378225 237 6444 237 46^>3 237 2884 10.237 1 106 9-851 6637 2369320 85 1 9312 236 7553 236 5778 236 4o(>4 9.845 2268 845 4956 8457644 846o332 846 3oi8 846 5705 9.846 8390 847 1075 847 3760 847 6444 8479127 848 1810 9.848 449a 8487174 8489855 849 2536 8495216 849780 9.85o 0575 85o3i53 850 5931 85o86o8 85i 1285 85i 3961 dif-l" 236 223l io.236o46o 235 8689 a35 6920 235 5i5i 235 3384 235 1618 10.234 9853 234 8089 23463-:.6 234 4564 234 2803 234 io43 10.233 9285 233 5771 233401 5 233 2261 233 o5o8 I0.232 8756 232 7004 232 5254 232 35o6 232 1758 232 «>OI 1 io.23i 8265 23 1 6520 23i 4777 a3i 3o34 23i 1293 23o 9552 1 0.2307813 852 1987 852 4661 85a 7335 853 0008 98532680 853 5352 853 8023 8540694 854 3365 8546o34 9.854 8704 855 1372 855 4o4i 855 6708 8559376 856 2043 98564708 8567374 857 0039 857 2704 857 5368 857803 1 9-858 0694 858 3357 858 6019 858 8680 «59 i34i 859 4oo2 9.8596661 8599321 860 1980 860 4638 8607296 8609954 9861 2610 dif. V ■fte. o»>tanf. 44-8o 44 -80 44 '80 44-77 [44.78 44.75 44.75 44.75 44.73 44-72 44-72 44.70 44.70 44.68 44 68 44-67 44-67 44-65 44-63 4463 44-62 44.62 44.60 44.60 44-58 44-58 44-57 44-57 44.55 44.53 44.53 44.52 44-52 44-52 44-4S 445o 44-47 44-48 44-45 44.47 44*43 44.43 44.43 444'^ 44.42 44'4o 44-38 44.38 44.38 44-37 44-35 44-35 44-35 44-32 44-33 44.32 44. 3o 44 -30 44.3o 44-27 co-tanf. dif. 1" 10.1 54 7732 1 54 5o44 154 2356 1539668 1536982 1534295 10.153 1610 i52 8925 1 52 6240 152 3556 1 52 0873 i5i 8i9f lo.iSi 55o8 i5i 2826 i5i 0145 1 507464 1 504784 i5o 2104 10.1499425 1490747 1494069 149 1392 1488715 1 48 6039 10.148 3363 148 0688 147*0' 3 147 5339 147 2665| 1469992 10.1467320 146 4648 146 1977 145 9306 145 6635 1453966 10.145 1296 144 8628 1445959 i44 3292 1440624 143 7958 10.143 5292 143 2626 1429961 142 7296 142 4632 142 1969 10.141 9306 i4i 6643 i4i 3o8i i4i i32o 1408659 1405998 10,1403339 1400679 1 39 8020 1395362 139 2704 1390046 10.1387390 me. dif. I" i4-75 14.75 14.77 14.78 14.78 14.78 14.80 14.8 a 14.82 14.83 14.83 14.85 ^ 14.87 9-9 io.o86f>355 0867240 fj868i25 086901 1 0869808 0870785 10.0871672 0872560 0873449 0874338 0875228 0876118 10.0877009 0877901 0878793 0879685 0880578 0881472 10.0882366 0883261 0884 1 56 o885o52 088594 088684 10.0887743 0888641 0889540 0890439 0891 339 0892239 10.0893140 t)894o4i|;r;; 0894943 ll'^i 0895845 '^-^^ 0896749 0897652 10.0898556 0899461 0900366 0901 272J 090217 090308 100903993 0904901 0905810 0906719 0907629 0908539 10.0909450 0910361 0911 273 0912186 0913099 0914012 10.0914927 0915841 co-«in. 9.9 14-87 14-87 14.88 14.90 14.90 14.92 14.92 14-93 14.95 4-93 14.97 14-97 14.98 14.98 i5.oo 1 5.00 l5.02 l5.02 9.9 9.9 1 5.07 i5.o5 i5.o7 i5.o8 i5.o8 i5.io l5.l2 1 5. 10 i5.i3 i5.i3 i5.i5 i5.i5 i5.i7 i5.i7 i5.i8 i5.i8 1 5- 20 l5.22 t5.22 l5.22 i5.25 i5,23 15.27 9-9 9 9 9 9 9 9.9 9 33645 32760 31875 30989 3oioy 29215 28328 27440 2655 1 25662 24772 2388 3|49 22991 148 60 59 58 57 56 55 54 53 52 5i 5o 09'6757 ^_ 0917673 c' 0919506 10.0920424 tang. co-sec. i5.3o dif.l" 2209947 21207 46 2o3i5 45 1942244 1852843 1763442 167394' i5844 4o 14948 3 i4o5i 3 i3i55 37 12257 36 1135935 10460 34 oo56i 33 08661 32 07761 3i 06860 3o 05959 29 o5o57 28 04 1 55 27 o325i a6 02348 25 ot444 24 00539 23 9099634 22 9098728 21 9097821 20 9096915 I 9.9096007 1 9095099 17 9094190 16 9093281 1 5 9092371 1 4 909146 I r3 9.9090550 12 9080639 1 1 9088727 10 9087814 9 9086901 8 9086988 7 9;9o85 10.318 5i25 ai8 366i 218 1998 ai8o336 2178676 2177016 10.2175357 2173699 217 3042 2i7o386 2168733 2167078 877 3773 8776400 877 9027 878 1654 8784281 9.878 6907 878 9533 8793158 879 478a 879 7407 88ooo3i 9.880 a654 880 5277 8807900 881 oSaa 88 1 3 144 881 5765 9.881 8386 88a 1007 8ba 3627 883 6a46 88a 8866 883 1 484 dif.1" io.ai6 5425 9-883 4 «o3 ai6 3773| 883 6731 316 3123 did" 3i6o'f7a 315 8823 2i5 7176 10.315 5520 215 3883 2l5 3238 31 5 0594 314895 2147309 10.314 5668 2144028 2142389 2i4o75i 2139114 2137478 1 0.21 3 5843 2134209 21 3 2576 2i3o944 ai3 93i3 2127683 io.2i3 6o54 ai2 44a6 212 3798 313 1173 an 9547 211 7933 10.3 1 1 6299 21 1 4677 211 3o56 211 1435 2100816 2108108 10.210 658o 883 9338 884 1956 8844572 8847189 9.884 9805 885 a4ao 885 5o35 885 7650 886 0264 886 3878 9.886 5492 8868io5 8870718 887 333o 887 5942 887 8554 9.8881165 888 3775 888 6386 888 8996 889 i6o5 8894214 9.8896823 889 9432 890 ao4o 8904647 8907354 8909861 9.891 3468 891 5o74 891 7679 89a 0385 89a 3890 893 5494 9.89a 8098 sec. 43.80 43.80 43.78 43.78 43.78 43.77 43.77 43.75 43.73 43.75 43.73 43.7a 43.7a 43.7a 43.70 43.70 43,68 43.68 43.68 43.67 4365 43.67 4363 43.65 4363 4363 43.63 43.60 43.63 43.60 43.58 43.58 43.58 43.57 43.57 43.57 43.55 43.55 43.53 43.53 43.53 43.53 43 5o 43.5a 43.5o 43.48 43.48 43.48 43.48 43.47 43.45 43.45 43.45 43.45 43.43 43.43 43.43 43.43 43.40 43.40 co-taog. eo-tang. dif.r' 10.122 8856 1226228 122 3600 1 23 0973 131 8346 121 5719 lo.iai 3093 121 0467 1 20 7842 iao52i8 I3oa5o3 119 10.1197 1194723 1102100 MS 9478 118 6856 1184235 10.118 i6i4 1 17 8993 1176373 117 3754 117 ii34 ii685i6 10.1165897 1163279 116 0662 1 1 5 8044 1155428 11 5 2811 10.1150195 1147580 1144965 ii4 2j5o 1 1 3 9736J 1137132 io.ii3 45o8 II 3 1895 1129382 1130670 1 1 3 4o58 113 i446 lo.iii 8835 III 6225 III 36i4 III ioo4 iio83o5 1105786 io.iio3i77 II0 0568 1097 109 5353 109 3746 1090139 10,1087533 108 4926 108 3J3I 1079715 1077110 107 45o6 10.107 1902 sec. 10.0976514 0977466 0978419 097937a 0980336 0981381 10.0983336 098319 0984148 0985105 0986062 0987020 10.0987979 0988938 098.;898 0990858 0991819 0993781 10.0993743 0994706 0995669 0996633 0997597 0998563 10.0999538 1000494 100 I 461 1003438 dif. 1" 15.87 1 5.88 1 5.88 15.90 15.93 15.92 15.93 15.93 15.95 15.95 15.97 §5.98 15.98 i6.fx> 16.00 l6.03 i6,o3 i6.o3 i6.o5 i6.o5 16.07 16.07 16.08 16.10 16.10 16.13 16.13 i6.i3 co-mn. 1003396'"-'^ tang. 1 0.1 005333 ioo63o3 1007373 1008344 1009316 1010188 io.ioiii6o ioiai33 101 3 I 07 ioi4o8i ioi5o56 ioi6o3a 10.1017008 1017985 1018963 1019940 1030918 102 1897 10.1022877 1023857 I024838 1025819 1026801 1027784 10.1028767 I 03975 I io3o735 io3i72o 1033706 1033692 10.1034679 16.17 16.17 16.18 16.20 16.20 16.20 i6.a2 16.33 i6.a3 i6.35 16.37 16.37 16.38 16.38 i6.3o i6.3o 16.33 16.33 16.33 16.35 16.35 16.37 1 6.38 1 6.38 16.40 16.40 16.43 16.43 16.43 16.45 9.9033486 902*2534 9021 58i 9030628 9019674 9018719 9.9017764 9016808 901 5852 9014895 9013938 9012980 9.9012021 9011062 9010102 9009142 9008181 9CI073I9 9.9006357 9005294 9004331 9003367 9003403 9001438 9.9000472 8999506 8998539 89975-2 8996604 8995636 9.8994667 8993697 8993727 8991756 8990784 8980812 9.8988840 8987867 8986893 8985919 8984944 8983968 9.8982992 8982015 8981038 8980060 8970082 8978103 9.8977133 8976143 8975162 89741 8 I 8973199 8972216 9.8971233 8970349 8969365 8968280 8967294 8966308 9.8965331 c7 16 i5 i4 i3 la II 10 I 7 6 5 4 3 a I o 12T<» 5«« LOGARITHMIC SINES, TANGENTS, &C. 38» 271 1 1410 o I 2 3 41 7 8 9 10 II 12 i3 i4 i5 16 18 »9 20 21 aa a3 24 25 26 27 28 It 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 8in. 9.789 3420 789 5o36 789 6653 Ait.1" 26.93 36.93 7898266^5-9^ , 7«9 988oill? te3f?4'^^-?^ 79^6325:^5 80 ^So?]^6.8o 7909541 791 1 148 9.791 3754 co-8ec. 36.78 26.77 79^4359^^.75 791 5963 ^ ' 7936727^,^ 793 83i7r2'r ^9.^26.48 7947841 ^2 j^ 795 575 I 795 733o 79^ «909 ^6 28 9-796 o486 ^^-^^ 7 2062 796 3638 7965212 796 6786 '"• L^fi u'ic. 20.22 7968359 g 8 9.7969930 797 '5oi 7973071 797 464o 797 6208 797 7775 9-797 9341 798 0906 798 2470 7984034 798 5596 7987158 9.7988718 eo-sin. 26.33 26.32 26.32 26.28 26.27 26.27 26.23 26.23 32 26.18 26.17 26.15 26.13 26.12 26.10 26.08 26.07 26.07 26.03 26.03 26.00 dif.1" io.3io658o 2104964 210 3348 aio 1734 2100I30 209 85o7 10.209 6896 209 5285 209 3675 209 2067 209 0459 208 8852 10.208 7246 208 564 1 208 4o37 208 2434 ao8o832 307 9231 10.2077631 207 6o32 207 4434 207 2837 207 1240 206 9645 10.206 8o5 1 206 6457 206 4865 206 3273 306 1 683 2060093 ro.2o5 85o4 2056917 3o5 533o 2o5 3744 2o5 2159 ao5 0575 10.204 8993 3o4 74io 204 5829 204 4249 204 3670 3o4 1091 io.3o3 95 1 4 2o3 7938 2o3 6362 3o3 4788 ao3 32i4 ao3 1641 io.3o3 0070 302 8499 202 6929 202 536o 202 3792 202 3225 lo.aoa 0659 aor 9094 201 753o aoi 5966 201 44o4 aoi 2842 lo.aoi 1282 tang. 9.892 8098 893 0702 893 33o6 893 5909 893 8511 894 iii4 9.8943715 8946317 di£l' 8948918 l5lQ 895 8954119 8956719 9.8959319 896I9I8 8964517 896 71 16 8969714 8972313 9.897 4010 897 7507 8980104 898 2700 8985296 898 7892 9.899 048 8993082 899 5677 8998271 90-j o865 9003459 9.9006052 900 8645 901 1237 901 383o 901 6422 901 9013 9.903 1604 9034195 902 6786 902 9376 903 1966 9o3 4555 9.9037144 903 9733 904 2321 9044910 904 7497 9o5oo85 9905 2672 905 5259 905 7845 . 9060431 906 3oi7 906 56o3 9.9068188 907 0773 907 3357 907 5941 9078525 908 1109 99083692 sec. 43.40 43.40 43.38 43.37 43.38 43.35 43.37 43.35 43.35 43.33 43.33 43.33 43.32 43.32 43.32 43.3o 43.3o 43.3o 43.28 43.28 43.27 43.27 43.27 43.25 43.25 43.25 43.23 43.23 43.23 43.22 43.22 43.20 43.22 43.20 43.18 43. .8 43. r8 43.18 43.17 43.17 43.r5 43.1 5 43. 1 5 43.13 43 r 5 43.12 43.13 43-12 43.12 43.10 43.10 43.10 43.10 43.08 43.08 43.07 43.07 43.07 43.07 43.05 00-tang. 10. 10.] 10. lO.l 10.] co-tanff. dif.1" 107 1902 1069298 1066694 106*4091 106 1489 io5 8886 io5 6285 io5 3683 io5 1082 1 04 8481 1 04 588 1 1 04 3281 1040681 io3 8082 io3 5483 io3 2884 io3 0286 102 7688 102 5090 102 2493 loi 9896 1 01 73oo 101 4704 101 2108 1009513 1006918 1004323 100 1729 0999135 099 654 ' 10.0993948 099 1 355 098 8763 098 6170 098 3578 098 0987 10.097 8396 097 58o5 0973214 097 062.4 0968034 096 5445 10.096 3856 096 0'>6"' 095 7679 095 5090 095 2 5o3 094 991 5 10.094 7328 094 474 1 094 2 1 55 093 9569 093 6983 093 4397 10.093 1813 092 9227 092 6643 09a 4o59 092 1475 091 8891 10.091 63o8 sec. tang. 10.1034679 io35666 1036654 1037642 io3863i I 03962 I 10.1040611 1041602 1042594 I043586 1044578 1045571 I0.1046565 1047560 1048555 1049550 io5o547 io5i543 io.io5254i 1053539 1054537 1055537 io56536 1057537 io.io58538 1059539 1060542 1061544 1062548 1063552 10. 1064556 io6556i 1066567 1067574 1068.581 1069588 10.1070596 1071605 I07?6i5 1073625 1074635 1075646 10.1076658 I 07767 I 1078684 1079697 1080711 1081726 10.1082742 108375R 1084774 1085792 T 086809 1087828 10.1088847 1089867 1090887 1091908 ,1092929 1093951 10.1094974 dlf. 1 co-sin. 9.8965321 8964334 8963346 8962358 8961369 8960379 9.8959389 8958398 8957406 89.56414 8955422 8954429 9.8953435 8952440 8951445 8950450 8949453 8948457 9.8947459 8946461 8945463 8944463 8943464 8942463 9.8941462 894046 I 8939458 8938456 8937452 8936448 9.8935444 8934439 8933433 8932426 8931419 89304 1 2 9.8929404 8928395 8927365 8926375 8935365 8924354 9.8923342 89223'>9 8921316 8920303 8919289 8918274 co-sec. 16.45 16.47 16.47 16.48 i6.5o i6.5o 16.52 16.53 16.53 16.53 16.55 16.57 1 6.58 i6.58 i6.58 16.62 16.60 i6.63 1 6.63 1 6.63 16.67 i6.65 16.68 16.68 16.68 16.72 16.70 16.73 16.73 16.73 16.75 16.77 16.78 16.78 16.78 16.80 16.82 i6.83 i6.83 i6.83 i6.85 16.87 16.88 16.88 16.88 16.90 ;6:i9«9.7.58 0915236 8914208 891 319 8913172 9.891 II 53 8910133 8909113 8908092 8907071 8906049 9.8905026 60 58 57 56 55 54 53 52 5. 5o 49 48 47 46| 45 44 43 42 4i 40 3 3 37 36 35 34 33 32 3i 3o 29 28 27 26 25 24 23 II 16.93 16.97 16.95 16.98 16.98 1700 17.00 17.02 17.02 17.03 17.05 dif.1"^ 23 21 30 19 18 17 16 i5 14 i3 12 1 1 10 I 7 6 5 4 3 2 1 o H stn. 128=> 51«» I '" I I:!, til 272 LOGARITHMIC SINBS, TANGENTS, o 58a 3 1 2 9800 7372 1 3 800 892 1 14 801 0468 i5 8oi2oi5 16 801 356r 17 801 5io6 18 980 1 6649 19 8or8io2 ao 801 97 i5 91 802 1276 32 8022816 23 802 4355 24 9802 58o4 25 802743 1 26 8028968 27 8ti3 o5o4 a8 8o3 2o38 29 8o3 3572 309.803 5 1 o5 3 1 8o3 6637 32 8o3 8i68 33 8o3 9699 34 8041228 35 8042757 36 9804 4284 37 8o4 58ii 38 8o4 7336 39 8048861 40 8o5 o385 4 1 8o5 1908 42 9805 343o 43 8054951 M 8o5 6472 45 8o5 7991 46 8059510 47 806 1027 4a|9.8o6 2544 8064060 8065575 8067089 8068602 8070114 9.807 1626 807 3i36 807 4646 8076154 807 7662 49 5o 5 1 52 53 54 55 56 57 58 59 60 9.808 0675 807 9169 j5 26.00 25.97 25.97 25.95 a5.93 25.92 25.00 25.88 25.87 25.85 25.85 25.82 25.82 25.78 25.78 25.77 25.75 25.72 25.72 25.72 25.68 25-67 25.65 25.65 25.62 25.62 25.60 35.57 25.57 25.55 25.53 25.52 35.55 25.48 25.48 25.45 25.45 25.42 25.4a 25.40 25.38 25.37 25.35 2535 25-32 2532 25.28 25.28 25.27 25.25 25.23 25.22 25.20 25.20 25.17 25.17 25.i3 25.13 25.12 eo^iae. ;? 10 dif.1" 10.201 1282 2009722 2008164 2006606 2(x> 5o4 200 34o 10.200 io38 200 o J84 1998831 1997279 1995728 199 4177 10.1992628 190 1079 1989532 1987985 1986439 198 48o4 10.1983351 1981808 1980265 1978724 1977184 197 5645 10.197 4i<36 197 2569 197 io33 1969496 1967962 1966428 10.1964895 1963353 196 i832 1960301 195 8772 195 7243 10.1955716 1954189 195 2664 195 1139 194 9615 194 8092 10.1946570 194 5o49 194 3528 194 2009 194 0490 193 8973 10.1937456 193 5940 1934425 193 291 1 193 1398 1929886 10.192 8374 1926864 192 5354 192 3846 192 2338 192 o83i 10.191 9325 9.908 3692 9086275 9088858 909 i44o 9094022 909 diC I" 9.9099185 910 1766 9104347 9106927 9109507 9! 1 2087 9.91 1 4666 911 7245 911 9824 912 24o3 912 4981 912 7559 9.913 01 37 913 2714 913 5291 913 7868 9140444 914 3o2o 9.914 5596 9148171 915 0747 915 3322 9155896 9158471 9.916-1045 9163618 9166102 9168765 917 i338 9173911 9.9176483 9179055 918 1627 918 4198 9186769 9189340 9919 1911 9194481 9197051 9199621 920 2191 920 4760 9.920 7329 920 9898 921 2466 921 5o34 921 7602 922 0170 9.922 2737 922 53o4 922 7871 923 0437 923 3oo4 923 5570 9.9238135 43.o5 43.o5 43. o3 43.o3 , 43.02 1 43.03 i»»-taiif. 10.091 63u8 091 3725 091 it42 0908560 8 MC. 43.02 43.02 43.00 43.00 43.00 42.98 42.98 42.98 42.98 42.97 42.97 42.97 42.95 42.95 42.95 42.93 42.93 42 93 42.92 42.93 42.92 42.90 42.92 42.90 42.88 42.90 42-88 4288 4288 42.87 42.87 42.87 42. 8§ 42.85 42.85 42.85 42.83 42.83 42.83 42.83 42.82 4282 42.82 42.80 42.80 42.80 42.80 42.78 42.78 42.78 42.77 42.78 42.77 42.75 10.1094974 eo-tang. dif. 1" 09059 0903397 .090 08 1 5 0898234 089 5653 089 3073 089 0493 088 701 3 10.088 5334 088 2755 0880176 0877597 087 5019 087 2441 10.086 9863 0867286 0864709 086 2 1 32 0859556 0856980 10.085 44o4 o85 1839 0849253 0846678 084 4 >^ 084 i529 io.o83 8955 o83 638? o83 38o8 o83 1235 0828662 0826089 10.082 35i7 082 0945 081 8373 081 58o2 081 323i 081 0660 10.080 8089 080 5519 0802949 080 o379 079 7809 079 5240 10.079 ^67 1 079 0102 078 7534 0784966 078 2398 077 9830 10.077 7263 077 4696 077 2129 0769563 0766996 076 443o 10.076 1 865 tang. 1095997 I 09702 I 1098046 I 09907 I 1100097 10. 1 101 1 23 I102l5o I 103178 I 104206 iio5235 1 106264 10.1107294 T108325 1109356 ino388 1 11 1420 1112453 10.1113487 1114521 iii5556 1116592 1117628 1118665 10.1119702 1 1 20740 1121779 1122818 1123858 1 1 24898 10.1125939 1126981 1128023 1129066 ii3oiio ii3ii54 io.ii32i99 1 1 33244 1 134290 1135337 1136384 1137432 10. 11 38481 1 1 39530 1 i4o58o ii4i63o 1142681 1143733 10.1144785 1145838 1 146891 1147945 1149000 1 1 5oo55 io.ii5iiii ii52i68 1 1 53225 1154283 II 55341 ii564oi 10. 1 157460 dif. I" 17.05 17*07 17.08 17.08 17.10 17.10 17.12 17.13 17.13 17.15 17.15 17.17 17.18 1718 17.20 17.20 17.22 17.23 17.23 17.25 17.27 17.27 17.28 17.28 17.30 17.32 17.32 17.33 17.33 17.35 17-37 17.37 17.38 17.40 17.40 17.42 17.42 17-43 17-45 17-45 17.47 17-48 17.48 17.50 17.50 17.52 17.53 17.53 17.55 17.55 17.57 17.58 17.58 17.60 17.62 17.62 17.63 17.63 17.67 17.65 co^in. 9.8905036 60 8904003 59 8902979 58 89^1954 5j| 8900929 co-snc. dif. 1" 88999o5f^ 9.8898877 54 8897850 53 8896822 53 8895794 5 r 8894765 5o 8893736 49 9.88927116 48 889167547 8890644 46 888961245 8888580 U 8887547 43 9-88865 1 3 42 8885479 41 8884444 4o 88834o8 39 8882372 38 888133537 9.8880298 36 8879260 35 8878221 34 8877182 33 8876142 32 £875102 3i 9.0874061 3<) 8873019 29 8871977 28 8870934 27 8869890 26 8868846 25 9.8867801 24 8866756 23 88657 1 022 8864663 21 886361620 8862568 19 9.886151918 8860470 17 8859420 16 8858370 i5 8857319 i4 8856267 ~ 9-8855215 8854 I 63 8853 I 09 8853055 885 I 000 8849945 9.8848889 8847833 8846775 8845717 8844659 2 8843599 1 9.8842540 o i3 12 II 10 Bin. 1290 50< LOGARITHMIC SINES, TANGENTS, &C. 273 40« 139c Bin. 1 a 3 4 5 6 7 8 9 10 II 12 i3 i4 i5 16 17 18 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 i^ 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 9.808 0675 8082180 808 3684 808 5 188 8086690 8088192 9.808 9692 809 1 1 92 809 2691 8094189 809 5686 809 7182 9.8c 8 8 8 8 8 9.8 8 8 8 8 8 98 8 8 8 8 8 9.8 8 8 8 8 8 9.8 8 8 8 8 8 9.8 8 8 8 8 8 9.8 8 8 8 8 8 9.8 8 8 8 8 8 9.8 .9 8678 00172 o 1666 3i59 o465o o6i4i 07631 09121 1 0609 1 2096 1 3583 I 5069 16554 i8o38 1 9521 2 ioo3 2 2484 23965 2 5444 2 6923 28401 29878 3i354 3 2829 3 43o3 35777 3 725o 38721 40192 4 1662 43i3i 44600 46067 47534 48999 5 o464 5 1928 53391 5 4854 5 63i5{ 57776 5 9235 60694 6 2l52 6 3609 6 5o66 66521 67975 69429 di£l" co-8in. 25.08 25.07 25.07 25.o3 25.o3 25.00 25.00 24.98 24.97 24.95 24-93 24.93 24.90 24.90 24.88 24.85 24.85 24-83 24.83 24.80 24.78 24-78 24.77 24-75 24-73 24.72 24.70 24.68 24.68 24.65 24.65 24.63 24.62 24.60 24.58 2457 24.57 24.55 24.52 24.52 24.50 24.48 24.48 24.45 24.45 24.42 24.42 24.40 24.38 24.38 24-35 2-4-35 24-32 24-32 24-3o 24.28 24.28 24.25 24.a3 24.23 dif.l" co-sec. 130«> 10 10 10. 10 10, 10 10 10 10, 10 10, 191 9325 191 7820 191 63i6 191 4812 191 33io 191 1808 191 o3o8 1908808 1907309 190 5811 1904314 190 2818 190 l322 1899828 1898334 189 684 1 189 535o 1893859 189 2369 1890879 1889391 188 7904 1886417 1884931 188 3446 188 1962 1880479 187 8997 1877516 1876035 187 4556 187 3o77 187 1599 1870122 186 8646 1867171 186 5697 1864223 186 2750 186 1279 i85 9808 i85 8338 1856869 1 85 5400 i85 3933 i85 2466 i85 looT 1849536 1848072 1846609 i84 5i46 1 84 3685 184 2224 1840765 1 83 9306 183 7848 i83 6391 i83 4934 i83 3479 i83 2025 i83o57i Bee. tanf. 9.9238135 924 0701 924 3266 924 5831 924 8396 9250960 9.925 3524 925 6088 925 8652 926 I2l5 926 3778 9266341 9.926 8904 927 1 466 927 4028 927 6590 9279132 928 1713 9.928 4274 928 6835 928 9396 939 1956 9294516 929 7076 9.929 9636 93o2io5 930 4755 930731 4 930 9872 93 1 2431 9.931 4989 93 1 7547 932 oio5 932 2662 932 5220 932 7777 9.933 o334 933 2890 933 5446 933 8oo3 934 0559 9343114 9.934 5670 9348225 935 0780 9353335 935 5889 935 8444 .936 0998 936 3552 936 6io5 936 8659 93^ 1212 937 3765 .9376318 9378871 938 i423 938 3975 938 6527 938 9079 .939 i63i co-tang. dif.r 42.77 42.75 42.75 42.75 42.73 42.73 42.73 42.73 42.72 42.72 42.72 42.72 42.70 42.70 42.70 42.70 42.68 42.68 42.68 42.68 42.67 42.67 42.67 42.67 42.65 42.67 42.65 42.63 42.65 42.63 42.63 42.63 42.62 42.63 42.62 42.62 42.60 42.60 42.62 42.60 42.58 42.60 42.58 42.58 42.58 42.57 42.58 42.57 42.57 42.55 42.57 42.55 42.55 42.55 42.55 42.53 42.53 42.53 42.53 42.53 dif.r 35 co-tang. 10.076 i865 075 92 07567 0754169 075 i6o4 074 9040 10.074 0476 0743912 074 io48 073 8785 073 6222 073 3659 10.073 1096 072 8534 072 5972 072 34 10 072 0848 071 8287 10.071 5726 071 3i65 071 o6o4 070 8044 070 5484 070 2924 10.070 o364 0697805 069 5245 0692686 0690128 0687569 10.068 5oi 1 0682453 0679895 0677338 067 4780 067 2223 10.0669666 066 71 10 0664554 o6() 1997 o65 9441 065 6886 io.o65 433o o65 1775 064 9220 064 6665 064 4i 1 1 o64 i556 io.o63 9002 o63 6448 o63 3895 o63 i34i 062 8788 062 6235 10.062 3682 062 1129 061 8577 061 6025 061 3473 061 0931 10.060 8369 taug. sec. 10. 10. 10, 10. 10. 10. 10. 10. 10, 10. 10, 157460 1 5852 1 159582 160643 161706 162768 163832 164896 I 6596 I 167026 168002 169139 170226 171294 172362 173432 174501 175572 176643 177715 178787 179860 180933 182008 i83o82 i84i58 185234 i863ii 187388 188466 189545 190624 191704 192785 193866 194948 196030 197113 198197 19928 1 2oo366 201452 202538 2o3625 20471 3 2o58oi 206890 207979 209070 210160 211252 212344 213437 2i453o 2 I 5624 216719 2I78I4 218910 220006 221104 222201 co-sec. dif.l' 7.68 7.68 7.68 7.72 7.70 7-73 7.73 7.75 7.75 7-77 7.78 7.78 7.80 7.80 7.83 7.82 7.85 7.85 7.87 7.87 7.88 7.88 7.92 7.90 7.93 7.93 7.95 7.95 7-97 7.98 7.98 8.00 8.02 8.02 8.o3 8.o3 8.o5 8.07 8-07 8.08 8.10 8.10 8.12 8.i3 8.i3 8.i5 8.i5 8.18 8.17 8.20 8.20 8.22 8.22 8.23 8.25 8.25 8.27 8.27 8.3o 8.28 9.8842540 8841479 18 88382 8837 9-8836 8835 dif.l" co-Bin. 88404 - - 8839357 194 232 168 io4 8834o39 8832974 8831908 883o84 9.882977. 8828706 8827638 8826568 8825499 8824438 9.8823357 882228' 882121. 8820140 8819067 8817993 9.8816918 88 1 5843 8814766 8813689 8812612 8811534 9.8810455 8809376 8808296 8807215 8806134 88o5o52 9.8803970 8802887 88oi8o3 88007 1 9 8799634 8798548 .8797462 8796375 8795287 8794199 8793110 8792021 1 8790930 8789840 8788748 8787656 8786563 8785470 9.8784376 878328 878218 878109 8779994 8778896 9.8777799 Bin. 60 59 58 57 56 55 54 53 52 5i 5o ^f 48 47 46 45 44 43 42 41 4o 3c 3^ 37 36 35 34 33 32 3i 3o 29 28 27 26 25 24 23 22 21 20 19 18 17 16 i5 i4 i3 12 II 10 I 7 6 5 4 3 2 1 o 490 iff'll !i>i nnflf I 274 LOGAEITHMIC SINKS, TANGENTS, &C. 410 1 a 3 4 5 6 7 8 9 10 II ■in. dif. 1 " f3 H i5 i6 17 18 19 a I 22 23 24 Ia5 26 a? 2d 39 3o 3i 32 33 J4 36 3? 38 39 4o 4i 42 43 44 45 4lo 09.8169429 II 8170882 2 817 2334 3 8173785 4 8175235 8176685 9.817 8i33 817 9581 818 1028 818 2474 8183919 818 5364 i%.8i8 6807 ' 8188250 8189692 8191133 8192573 8194012 9.8195450 8196888 8198325 8199761 820 1196 1820 26io 24 9.820 4o63 25 820 5496 820 6927 820 8358 8209788 821 1217 9.821 26461 821 4o73r^-'7? 821 5500^,"^^ 82i6926n-77 821 85'--|2i.75 24-22 24.20 24.18 24.17 24.17 24.13 24.13 24.12 24.10 24.08 a4-o8 24.05 24-o5 24.03 24.02 24.00 23.98 23.97 23.97 23.95 23.93 23.92 23.90 23.88 23.88 23.85 23.85 23.83 23.82 23.82 23.78 ooHiec. io.i83 0571 1829118 1827666 1826215 i8a 4765 182331 51 10.182 1867 182 0419 1818972 181 7526 181 6081 181 4636 1380 tMog. dir.l" co-tonf. 9.939 i63i 9394182 9396733 939 9284 940 i835 940 4385 I9.940 6936 940 9486 941 2o36 941 4585 94r 7135 941 9684 loj ciuau y4i 9004 IO.181 3193I9.942 2233 181 1750 181 o3o8 1808867 180 7427 180 5988 10.180 455o i8o3ii2 180 1675 1800239 1798804 942 4782 9427331 9429879 943 2428 943 4976 9.943 7524 9440072 9442619 9445166 9447714 1797370 9450261 10.179 5937(9.945 2807 5ii 821 9775! f^^ 9.822 ii98p^-7^ 822 ^eTtlllJl 822 404^1^ 822 5463;'^-^ 822 6883 Ifll 822 8302 Ydl 9.822972.^^-^^ 823n38'^f 823 2555 "•''^ ii 47 48 49 ■JHJ 5t 53 54 '56 57 58 823 3971 823 5386 823 6800 9.8238213 823 9626 824 io37 824 2448 824 3858 23.60 23.58 23.57 23.55 23.55 23.52 23.52 23. 5<:) 23.48 1794504 1793073 179 1642 1790212 1788783 10.1787354 178 5927 17^4500 1783074 178 164 178022 10.1778802 1777379 1775958 1774537 1773117 177 '698 10.1770279 1768862 1767445 824 5267rs% >.834 6676Pt1c 8248083 8249490 825 0896 825 23oi 825 3705 60I9.835 51091 co-fltn. 23.45 23.43 23.42 2 3.4( 23.40 dif.l" 1766029 9506248 1764614 9508791 1763200 95 1 i334 10.17617879.951 3876 945 5354 9457900 9460447 946 2993 946 553. 9.9468084 947 o63o 947 3175 947 5720 947 8265 9480810 9.948 3355 948 5899 948 844 J 9490987 9493531 9496075 9.9498619 950 1162 950 3705 1760374 1758963 175 7552 1756142 1754733 10.1753324 175 1917 i75o5io 174 9104 1747699 1746295 10.174 4891 aee. 95i 64(9 951 8961 952 i5o3 952 4o45 9526587 9.9529128 953 1670 9534211 953 6752 953 9293 954 i834 9.954 4374 co-lang. 42.52 42.52 42.52 42.52I 42. 5o 42.52 42. 5o 42. 5o 42.48 42. 5o 42.481 42.48 42.48 42.48 42.47 42.48 42.47 42.47 42.47 42.45 42.45 42.47 42.45 42.43 42.45 42.43 42.45 42.43 42.43 42.42 42.43 42.42 42.42 42.42 42.42 42.42 42.40 42.40 42.40 42.40 42.40 42.40 42.38 42.38 42.38 42.38 42.38 42.37 42.38 42.37 42.37 42.37 42.37 42.35 42.37 42.35 42.35 42.35 42.35 42.33 10.0608369 o6o58i8 0603267 I 0600716 0598165 ©59561 5 10.0593064 o5oo5i4 0587964 o58 54i5 o58 2865 o58o3i6 io.o57 7767 o57 5218 ©572669 0570121 o56 7572 o56 5o24 io.o56 2476 o55 9928 o55 7381 o55 4834 o55 22861 o54 9739 ■ec. 10.0547193 10.1248744 10.1222201 12233oO 1224399 1225499 1226599 1227700 10.1228802 1229904 I23I007 1232II1 1233215 1234320 10.1235426 1 236.532 1 237639 1238747 1239855 1 240964 10.1242073 1243184 1244294 1245406 12465 I 8 1 24763 1 dif. 1" o54 4646 o54 2100 o53 9553 o53 7007 o53 4461 io.o53 1916(10 o52 o52 o52 4280 o52 1735 o5i 9190 io.o5i 6645 o5i 4ioi o5i i557 0509013 0506469 o5o 3o25 1 267773 1249858 1250973 1252088 i2532o5 1 25432 1 .1255439 1256557 1257675 1 258795 1259915 1261035 10.1262156 1263278 I 26440 I 1265524 1266648 dif l" io.o5o 1S81 049 8838 049 6295 049 3752 049 1 209 048 866fi 10.0486124 048 358 1 048 1039 047 8497 047 5955 04734 1 3 10.047 0872 046 833a 046 5789 046 3248 o46 0707 045 8166 10.045 5626 tang. 10.1268898 I 270024 I27ii5i 1272278 1 273406 1274534 10.1275663 1 276793 1277924 1 279055 1280187 I28i3i9 10-1282452 1283586 1284721 1 285856 1286992 1288128 10.1289265 18.32 18.32 18.33 18.33 18.35 18.37 18.37 18.38 18.40 18.40 18.42 18.43 18.43 18.45 18.47 18.47 18.48 18.48 18.52 i8.5o 18.53 18.53 18.55 18.55 18.57 18.58 18.58 18.62 18.60 18.63 18.63 8.63 18.67 18.67 18.67 18.68 18.70 18.72 18.72 18.73 18.75 18.75 18.77 18.78 18.78 18.80 18.80 18.8:? 18-83 18.85 i8.85 18.87 18.87 18.88 18.91 co-iin. 9-8777799 0770700 877560 877450 877340 8772300 9.8771 198 8770096 8768993 8767889 8766^85 8765680 9.8764574 8763468 8762361 8761253 8760145 8759036 9-8757927 8756816 8755706 8754594 8753482 8752369 9-8751256 8750142 874902-7 8747912 8746795 8745679 9-8744561 8743443 8742325 8741205 8740085 8738965 9-8737844 8736722 8735599 873447f> 873335 8732227 9.8731 102 8729976 8728849 87277^2 8726594 8725466 9.8724337 8723207 8722076 8720945 8719813 871868 '19-8717548 18.92 18.92 18.93 18.93 18.95 co-iec. 8716414 8715279 8714144 8713008 8711872 9.8710735 dif.l" 60 59 58 56| 55 54 53 52 5i 5c^ 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36[ 35 34 33 32 3o 2 2 27 26 25 24 23 22 21 20 •9 18 •7 16 r5 14 i3 12 II 10 9 8 7 6 5 4 3 2 1 o Bin. 1310 48° LOGAEITHMIC SINES, TANGENTS, ^C. 276 4ao larro ■in. o 1 2 3 4 5 6 7 8 9 10 11 12 i3 i4l i5 16 17 18 •9 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 40 4i 42 43 44 45 46 47 48 t 5i 52 53 54 55 56 57 58 59 60 9.825 5109 825 6512 825 70i3 8259314 8260715 826 21 14 98263512 8264910 8266307 826 7703 8269098 827 0493 9.827 1887 827 3279 827 4671 8276063 827 7453 827 8343 9.8280231 828 1619 8283006 828 4393 828 5778 828 71 63 9.828 8547 828 9930 829 l3l2 829 2694 829 4075 829 5454 9.8296833 8298212 829 9589 8300966 830 2342 83o37i7 9830 5091 83o6464 83o 7837 830 9209 83 1 o58o 83 1 1950 9-831 3320 83 1 4688 83i 6o56 83 1 7423 83 1 8789 832 oi55 9832 1 519 832 2883 832 4246 832 5609 832 6970 832 8331 9-832 9691 833 io5o 833 2408 833 3766 833 5122 833 6478 9.833 7833 did' 23.38 23.35 23.35 23.35 23.32 23. 3o 23.3o 23.28 23.27 23.25 23.25 23.23 23.20 23.20 23.20 23.17 23.17 23.i3 23.13 23.12 23.12 23.08 23.08 23.07 23.o5 23.o3 23.o3 23.02 22.98 22.98 22.98 22.95 22.95 22.93 22.92 22.90 22.88 22.88 22.87 22.85 22.83 22.83 22.80 22.80 22.78 22.77 22.77 22.73 22.73 22.72 22.72 22.68 22.68 22.67 22.65 22.63 22.63 22.60 22.60 22.58 co-»n. co-sec. 10 10. 10 10. diCl' 10. 10 10. 10. 10. 10. 10. 74 4891 74 3488 74 2087 740686 73 9285 73 7886 73 6488 73 5090 73 3693 73 2297 73 0902 72 9507 72 81 13 726721 72 5329 72 3937 72 2547 72 ii57 71 9769 7i838i 71 6994 71 5607 71 4222 71 2837 71 1453 71 0070 70 8688 707306 70 5025 70 4546 703167 70 1788 700411 699034 697658 696283 694909 693536 692163 690791 68 9420 68 8o5o 686680 ;68 53i2 68 3944 68 2577 68 1211 67 9845 678481 677117 67 5754 67 4391 67 3o3o 67 1669 670309 668950 667592 666234 664878 66 3522 662167 tang. diCl" ■ec 966362 9.9666157 9668692 9671225 967 3759 967 6293 967 8827 9.968 i36o 968 3893 968 6427 9688960 969 1493 9694026 9.969 6559 42.35 42.33 42.33 9.954 4374 9546915 954 9455 955 T995 5^-^^ n^^^^y^ 42.33 9.9559615 956 21 54 956 4694 956 7233 956 9772 957 23 II 9.957 485o 957 7389 957 9927 958 2465 958 5oo4 958 7542 9.959 0080 959 2618 959 5 1 55 959 7693 9600230 960 2767 9.960 53o5 9607842 961 0378 961 2915 961 5452 961 7988 9.962 0525 962 3o6i 962 5597 9628133 9630669 963 32o4 9.963 5740 963 8275 9640811 964 3346 964 588 1 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10 10 tanf. 10. 10. 10, 10. 10. 10. 289265 290403 291542 292681 293821 294961 296102 297244 298387 299530 300674 3bi8i8 302963 3o4io9 3o5256 3o64o3 30755 I 308699 309848 310998 3i2i49 3i33oo 3i4452 3i56o4 316758 317912 319066 320221 321377 322534 323691 324849 326008 327167 328327 329488 330649 33i8ii 332974 334 I 37 3353oi 336466 337631 338797 339964 341 i32 342300 343469 344638 345808 346979 3481 5i 349323 350496 351669 352844 354019 355194 356371 357548 358725 diCl" 8.97 8.98 8.98 9.00 900 9-02 9.03 9-o5 9-o5 9.07 9.07 9.08 9- 9- o 2 2 3 3 5 7 8 8 9.20 9.20 9.23 9.23 9.23 9.25 9.27 9.28 9.28 9.30 9.32 9.32 9.33 9.35 9.35 9.37 9.38 9-38 9-4o 9.42 9-42 9-43 9-45 9-47 9-47 9-48 9-48 9.50 9-52 9.53 9-53 9.55 9.55 9-58 9-58 9-58 9.62 9.62 9.62 eo-»m. 9.8710735 8709597 8708458 8707319 8706179 8705039 9.87o38< 87027 8701613 8700470 8699326 8698182 9.869-'o37 869589 8694744 8693597 8692449 8691301 9.8690152 8689002 868785 8686700 8685548 8684396 9.8683242 8682088 8680934 867977 867862 8677466 9.8676309 86751 5 I 8673992 8672833 8671673 8670512 9.8669351 8668189 8667026 8665863 8664699 - , 8663534 9-4? g.866236 "866120 866oo36 8658868 8657700 8656531 9.8655362 8654192 8653o2i 865 1849 8650677 8649504 9.8648331 8647156 8645981 8644806 8643629 8642452 9.8641 275 co-aec. difil" 60 59 58 57 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3i 3o 29 28 27 26 25 24 23 22 21 20 19 18 n 16 i5 14 i3 12 II 10 I 7 6 5 4 3 a I 132<= 4T*» 4i\ li: H" "if' 276 43® LOGAEITHMIC SINES, TANGENTS, &c sin* 3 4 7 8 9 10 II 1 3 i4 1 5 i6 17 # 20 25 «6 37 a8 !9 3f Jjp J! 33 34 diCl" 23 aa aa 33 39. 23, Z'^i 32. 32 22 23 22 22 23 22 22 9-833 7833 833 9188 834o54i 834 1894 834 3246 834 4597 6|9 J34 5948 834 7297 834 8646 834 9994 835 1 34 1 835 96881 9.835 4o33 835 5I78 8356722 835 8066 835 94o« 836 0750 9.836 2091 836 3431 836 4771 836 6109 836 7447 836 8784 9-83? 0121 837 1 456 83? 2791 837 4195 837 5458 837 6790 ■3oJ9.837 8i22 837 9453i 838 0783 838 3112 838 3441 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162 o547 161 9217 161 7888 161 6559 161 523i 161 39*>4 161 3578 161 1353 1609928 16086114 1607381 .160 5959 160 4637 160 33 1 6 160 1996 1600677 1599358 1598041 1 59 6734 1 59 5407 1 59 4093 1 59 3777 159 1 463 1 590150 158 8838 158 7535 1 58 63 1 5 1 58 4905 158 3596 1 58 2287 tang. 9.969 6559 9<>9909» 970 1634 9704157 9706689 9709221 9971 1754 971 4386 971 68i8 971 935o 972 1883 972 44' 3 9.97a 6945 972 9477 973 20<)8 973 4539 9737071 973 960a 9-974 3133 9744664 9747195 974 9726 975 2a57 975 4787 9 975 73 1 8 975 9849 976 2379 976 4909 976 7440 976 9970 9977 aSoo 977 5o3o 977 756o 9780090 978 2620 9785149 9 978 7679 979 0209 979 3738 979 5368 979 7797 980 oS^f) 9 980 2856 980 5385 9S0 7914 98 r 0443 981 3972 981 55oi 9-981 8f>3o dim" 982 0559' 4a 42 4a 42 42 4a, 42. 4a. 42. 42. 42. 42 42 43 42 42 42 42, 42 42, 42. 43. 42. 42. 42. 4a. 42 42 42 42 42 42 43 42, 42, 42. 42. 42. 43. 43. 42. 42. 42. 43. 42 42 42 4a 42 ■i>e. 982 3087 983 56i6 9828145 983 0673 9.9B3 3ao2 983 573o 983 8359 984 0787 9843315 984 5844 9-984 8372 42 42 43. 43, 42. 43. 42 4i 42 42 43 eo-tang. .20 .22 .22 .30 .20 .22 90 .ao .20 .20 .18 .20 ,20 .18 .18 20 18 18 18 18 18 18 17 .18 .18 •17 -•7 .18 .17 .17 .17 17 17 17 i5 17 17 i5 .17 .i5 .i5 -17 .i5 .i5 .i5 .i5 i5 i5 i5 1 3 i5 i5 i3 i5 i3 i5 i3 i3 i5 i3 co-tanf. 1380 see. n It diC 1" io.o3o 344 1 0300909 029 8J76 029 5843 029 33 II 020 0779 0.028 8340 038 5714 038 3i83 028o65o 027 81 18 027 5587 10.037 3o55 027 o523 ov6 7993 026 546 026 292 026 o3 10.025 781 025 5336 025 a8o5 0250274 024 7743 024 53 1 3 I0.034 3683 034or5i 033 7621 033 5091 023 356<) 023 oo3(> 10.03a 75oc> 033 4970 023 2440 03I 9910 021 7380 03 1 485 1 I0.U2I 2331 030 9791 030 7362 020 473? 030 33o3 0199674 10.0197144 0194615 0192086 0189557 0187028 018 4499 10.018 1970 017 9441 OI76913 017 4384 017 i855 0169327 10.0166798 0164270 016 1741 0159213 01 5 6685 oi5 4i56 10.01 5 1638 10 lO 10 10 10 10 10 lO 10. tang. 10 10.1358735 1359904 l36io83 1363363 1363443 1 364624 i3658o6 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I' 19.65 19.65 19.67 19.67 19.68 19-70 19.72 19.73 19.73 19.73 •9 77 19.77 19-77 19.80 19.80 19.80 19.83 19.83 19.85 1985 19.88 T9.88 19.88 19-90 19.92 19.93 19.95 19.95 19.95 1998 19.98 30.00 20.03 20-02 3oo3 2oo5 3007 2008 2008 20.10 2012 201 3 20. 1 3 20. 1 5 30.17 30.17 co^in. 58 57 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4i 4o 3 37 36 35 34 33 33 3i 3o 29 281 37I 26 35 24 23 22 21 -jifw 9.864127560 864 844 3725 844 5oi8 8446310 8447601 9.8448891 845oi8i 845 1470 845 275« 845 4045 845 5333 9-845 6518 845 7903 8459188 846 0471 846 1754 846 3o36 9.846 43 [8 846 5599 8466879 846 8 1 58 846 9436 8470714 42 9 847 '99' 847 3267 dif. I" 847 4543 847 58 1 7 847 7091 847 8365 9.847 9637 8480909 848ai8o 848 345o 848 4730 848 5989 9.848 7257 848 8524 848 9791 849 1057 849 2323 849 3586 9.849 485o 21.80 21.78 21.77 21,75 21.75 21.73 21 .72 21.72 31.70 21.68 21.67 21.65 21.65 21.63 21.63 31.63 31.58 21.58 21.58 21.55 21.55 21.53 21.52 2i.5o 21.5o 21.48 21.47 21.45 21.45 21.43 21.43 31.43 31.38 21.38 21.37 21.37 ii-35 21.33 31.32 21.3o 2i.3o 21.28 31.27 21.27 21.23 21.23 31.23 21.20 3I.30 31.18 21.17 21.17 21. l5 31. l3 31.12 31.12 21.10 21.08 21.07 21.07 co-sin. dif 1" co-sec 10 10 10 to 10. 10. 10 10. 10. 10. 10. 58 3287 58 0979 579672 57 8366 577061 57 5756 57 4452 573149 57 1846 57 o544 56 9243 56 7943 56 6644 56 5345 56 4o47 56 2750 56 1453 56 01 58 55 8863 55 7568 556275 554982 55 3690 55 2399 55 1 109 549819 54 853o 54 7343 54 5955 54 4668 54 3383 54 3097 540812 53 9529 53 8346 536964 53 5682 534401 53 3i2i 53 1842 53 o564 52 9286 52 8009 53 6733 53 5457 52 4i83 52 2909 52 i635 52 o363 5i 9091 5 1 7820 5i 65 5o 5i 5280 5i 4oii 5i 2743 5i 1476 5 1 0209 5o 8943 5o 7678 5o64i4 5o5i5o tang. 9984 985 985 985 985 986 9.986 986 986 987 987 987 9.987 988 988 988 988 989 99H9 989 989 990 990 990 9.990 991 99' 99' 99' 993 9.992 992 992 993 993 993 9.993 994 994 994 994 995 9.995 995 995 996 996 996 9.996 997 997 997 997 998 9.998 998 998 999 999 9.999 ten tec. 8373 0900 3428 5956 8484 1012 3540 6068 8596 I I 23 365 1 6179 8706 1234 3761 6289 8816 1 344 3871 6399 8926 1453 3981 65o8 9035 i562 4089 6616 9'43 1670 4197 6724 9251 1778 43o5 6832 9359 1886 44'3 6940 9466 .993 4520 7047 9573 2100 4637 7154 9680 2207 4734 7260 9787 23i4 484o 7367 9893 2420 4947 7473 dif.l" 42 42 42 42 42 42 42 42 43 42 42 42 42 42 42 42 42 42 42 43 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 42. 43. 42. 42. 42. 42. 42- 42. 42. 42. 42. 43. 42. 43. 43. 43. 43. 43. 42. 42. 42. 43. co-tang. i3 .i3 .i3 .i3 .i3 .i3 .i3 .i3 .12 .i3 .i3 .12 .i3 .12 .i3 .12 .i3 .12 .i3 .12 .12 .i3 .12 .12 .12 .12 ,12 .12 .12 .12 .12 .12 .12 .12 .13 .1} .15 .13 .12 • lO 12 12 ■ 12 .10 .12 .12 .12 .10 12 12 10 12 12 10 12 10 12 12 10 12 co-tang. diCl" lO.oiS 1628 0149100 0146572 oi4 4o44 oi4 i5i6 0138988 10.01 3 6460 01 3 3932 01 3 i4o4 0128877 012 6349 012 383 10.01 3 1294 on 8766 on 6239 on 3711 on 1184 oro8656 10.0106129 oio36oi 010 1074 0098547 0096019 009 3492 T 0.009 0965 008 8438 008 591 1 008 3384 008 o857 007 83 3o 10.007 58o3 007 3276 007 0749 0068232 006 5695 006 3 168 ro.o )6o64i oo5 8 1 1 4 oo5 5587 oo5 3o6o oo5 o534 0048007 10.0045480 004 3953 oo4 0437 oo3 7900 oo3 5373 oo3 3846 io.oo3 o33o 003 7793 003 5266 002 3740 002 031 3 001 7686 10.001 5i6c 001 2633 001 0107 0007580 000 5o53 000 2527 10.0000000 sec. 10 10 10 10 tang. 10 10. 10. 10 10. 10. 10. .1430659 1431879 i433ioo 1434333 1435545 1436768 ,1437992 1439316 I 440442 1441668 1443894 i444i33 i44535o 1446579 1447808 1449039 1450270 i45i5oi ,1452734 1453967 I 45520 I 1456436 1457671 1458907 i46or44 i46i38i 1462619 1463858 1465098 1466338 1467579 146882 1 1470064 1471 3o7 1472551 1473796 i475o4i 1476287 1477534 4478782 i48oo3o 1481379 1483529 1483780 i485o3i 1486283 1487535 1488789 1490043 1 49 1 398 1492554 1493810 1495067 1496325 1497583 1498843 i5ooio3 i5oi363 1502635 i5o3887 i5o5i5o dif. I" 9.8569341 8568121 8566900 8565678 8564455 8563232 9.8562008 8560784 8559558 8558333 co-sin. 8557106 5o co-sec. 30.63 30.65 2067 20.67 20.68 20.70 20.72 20.72 20.73 20.75 20.75 20.77 20.78 20.80 20.80 20.82 20 83 20.85 20. 85 20-87 2087 20.90 20-90 30-92 20.93 20.93 20-95 20.97 30.97 3I.0O 3I.OO 21.00 2I.o3 2i.o3 2I.o5 dif. 1' 60 59 58 57 56 55 54 53 52 5i 49 48 47 46 45 20.33 20.35 20.37 20.38 20.38 20.40 20.40 20.43 20.43 20.43 20.47 20.47 30.48 20.48 20.52 20.5?. 30.52 20.55 20.55 30.57 20.58 20.58 2060 ^^•^^ 9.85.398^6 ^'^•**^ 853861935 853738 ~ 8536i42 8534902 8533662 9.8532421 8531179 8529936 8528693 8527449 8526204 9 8524959 24 85237 ~ ■ 8533466 853I3I8 8519970 85 1 872 1 9.8517471 85i622o 8514969 85i37i7 8512465 8511211 9.8509957 8508702 8507446 8506190 8504933 85o3675 9.8502417 85oii57 8499897 8498637 8497375 84961 1 3 9.8494850 8555878 9.855465o 8553421 8552192 8550961 854973o|44 8548499 43 9.854-7366 42 8546o33 4i 8544799 40 8543564 39 8542329 38 854109337 36 34 33 32 3i 3o 29 28 2- 26 25 23 33 31 30 \l '7 16 i5 14 i3 13 I I TO 9 8 7 6 5 4 3 3 I o sin. 134' 450 !lll .iiUli. NATURAL SINES AND COSINES. 279 25j24 2524 2625 26 27 27 28 28 29 It 3o 25 26 26 27 27 28 28 29 29 DifT. 1 30 29 I I I a I 2 2 3 2 3 3 4 3 4 4 5 4 5 5 6 5 6 6 7 6 7 7 8 7 8 8 9 8 9 9 lu 9 10 10 II 10 II 11 12 II 12 12 i3 12 i3 i3 i4 i3 i4 «4 i5 i4 i5 i5 16 i5 16 i5 17 16 17 16 18 17 18 17 >9 18 19 18 20 •9 20 '9 21 20 21 20 22 2! 22 21 23 22 23 22 2423 24 r 1,3 o I 2 3 4 5 6 7 8 9 o I 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 !2 3o 3i 32 33 34 35 36 37 38 39 40 4i 4'> 43 4i 45 46 47 48 49 So 5i 52 53 54 55 56 57 58 59 60. 0° sm. 00000 00029 ooo58 00087 OOI16 00145 00175 00204 00233 00262 00291 oo32o 00349 00378 00407 00436 COR. one one one one one one one one one one one 99999 99999 02094 99999 99999 99999 004651 99999 004951 99999 00524' 99999 oo553 9999B oo582J9999a oo6ri 99998 00640 99998 ot)669 99998 00698 99998 00727 99997 00756 99997 00785 99997 00814 99997 00844 99996 1° 8in. 01745 01774 oi8o3 oi832 01862 99985 99984 99984 99983 99983 01891 01920 01949 01978 02007 02o36 o2o65 02123 02 1 52 02I8I 0221 1 02240 02269 COS. 99982 99982 99981 99980 99980 o3635 o3664 03693 03723 03752 99979 99979 99978 99977 99977 99976 99976 99975 99974 02 298 '99974 02327 99973 02356 999-'2 02385I99972 024 1 419997 1 02443 1 99970 0247299969 o25oi 99969 0253099968 0256099967 0258999966 00873 99996 00902 j 99996 00931,99996 00960 99995 0098Q 99995 02618 99966 02647 99965 0267699964 02705 99963 02734I99963 2° sin. 03490 o35i9 o3548 03577 o36o6 99939 99938 99937 99936 99935 99934 99933 99932 99931 99930 03781 o38io o3839 o3868 03897 03926 03955 03984 o4oi3 o4o42 04071 o4ioo 04129 o4i59 04 1 88 04217 04246 04275 o43o4 04333 COf). o5234 o5263 05292 o532i o535o 05379 o54o8 05437 o5466 05495 99929 99927 99926 99925 99924 o5524 o5553 o5582 o56ii o564o 99923 99922 99921 99919 99918 05669 99917 99916 99915 99913 99919 99911 99910 99909 99907 99906 01018 99995 0104799995 0107699994 oiio5 99994 OT 13499994 04362 04391 04420 04449 04478 02763 99962 02792199961 02821 99960 0285099959 02879 999'»9 o45o7 045 36 04565 04594 04623 01 164 99993 02908,99958 01 193 99993j02938 99957 01222 99993 02967 99956 01 25i '99992 01 280 99999 o3o95 99954 o 1 309 9999 1 01 338 99991 01367 99991 09996 99955 o3o54 99953 o3o83 99952 o3ii2 99952 01396 99990 ()3i4i ,9995 f 01425 99990 o3i7o 99950 o4653 04682 0471 ' f)474o 04769 04798199885 04897I99883 o4856 99880 04885:99881 0491 4| 99^79 01 45 i 999S9 o3 1 99 99949 01 483 99989 o3 2 28 1 99948 01 5 1 3 99989 o3257 9994"? 01542 999S8.03986 99946 0157199988033 16 99945 01600 99987 o3 3 45 999^4 01629 99987 03374 99943 oi658J99986o34o3 99942 0168799986,03432 0171699935 o346i 01745,99985 03490 COS. Bin. 890 C08. 99941 99940 99939 sin 83° 99905 99904 99902 99901 99900 30 «>m. COS. 99863 99861 99860 99858 99857 06976 07005 07034 07063 07092 99855 99854 99859 99851 99849 071 21 07i5o 07179 07208 07237 99847 99846 99844 99842 99841 07266 07295 07324 07353 07382 99839 05698 99838 0572799836 o5756!99834 o5785'99833 0741 1 07440 o58 1 499831 05844I99829 05873 9982- 05902 0593 f 99826 99824 05960J99829 05989,9982 T 0601899819 06047199817 06076,99815 06 1 o5 99813 0613499812 06I63I998IO 06192 99808 0622119980^) 99898 99897 99896 99894 99^22 99S99 99890 99S8Q 99S88 99886 06250199804 06279 o63o8 )6337 99803 99801 99799 o6366i997Q 40 sin. COS. 99756 99754 99752 99750 99748 99746 99744 99742 99740 99738 99736 99734 99731 99729 99727 99725 99723 0746999721 0749899719 07527I99716 0755699714 07585997 '2 0761499710 07643,99708 07672:99705 0770 r 199703 0773099701 0775999699 07788:99696 078 17 99694 07846 99692 07875 99689 07904 99687 07933 99685 07962199683 07991 1 99680 0802099678 0804999676 0807899673 08107,99671 06395^99795 06494J99793 )6453 99792 06 48 2 1 99790 o65i 1 99788 0813699668 08 1 65 99666 0819499664 08293 99661 08959 99659 06 5 4o 1 99786 o656q| 99784 06598I99789 o662'7 99780 06656,99778 04943^9987806685,99776 04972 99S76J06714 99774 o5oo 1 99875J06743 ,99772 o5o3o 99873 06773 99770 0505999872,06802 99768 05088199870 068 3 1 99766 o5i 1 7 1 99869 06860^99764 o5i46 99867 06889 99762 o5 1 7 5 ' 99866 069 1 8 , 9976< o59o5 99864 o5234| 99863 0694799758 COS. 06976199756 08716,99619 sin. 87° 08281 9965-7 0831099654 o833q 99652 0836899649 08397 99647 08496 99644 08455 99649 o8484 99639 o85i3 99637 08542:99635 08571 99632 08600 99630 0869Q 99627 o8658 99625 08687 99622 ens. sin. 86° COS. sin. 850 60 59 58 57 56 5l 54 53 52 5i_ 5o 49 48 47 46 45 44 43 42 4^ 40 39 38 37 36 35 34 33 32 3i 38 29 28 27 26 25 24 23 22 21 20 19 r8 17 16 is i4 (3 12 ro 9 8 7 6 "5 4 3 2 I o 3 3 3 3 3 2 3 2 3 2 3 2'^ 2j3 2 3 2 a 2 a 2 2 a 2 a o o o o o o o o o o o o o o o o 1 o o o o o o I 2 i|a r 2 12 12 I 2 I 2 I 2 I 2 I 2 I 2 I I I I 1 I I I I I I I I 1 1 I I I I I I O I O I O I O 1 ol o o o o 000 o o o o o o o o r o o o o o o o o o o o o 2 3 DiT. 280 NATURAL SINES AND COSINES. Diflf. 29 -^Ti 10 10 1 1 o I a 3 5 6 7 8 9 9 lo lO 1 1 1 1 I -J I a i3 la •i3;i3 i4ji3 —ill, i5|i4 i5 i4 i5;i5 i6ji5 i6,i6 I7;r6 I7ii7 i8ji7 i8|i8 19! 1 8 19)19 19 20 70 91 10 II 13 i3 1 5 16 17 18 19 20 21 32 j3 24 26 27 28 29 20 20 21 21 3o 3i 32 33 34 35 36 37 38 39 2-J!!2I 21JJ2I 23;22 23 j 2,2 24:23 24l23 25 24 25 24 36125 26.25 2^26 27 26 38 28 27 27 2928 39 38 4o 4 1 4-> 43 U 45 46 47 48 49' 5o 5i 53 54 55 56 57 58 60 50 ■in. ■OtjMii 087 1 6 996 1 9 0874599617 6 3 sin. 08774 o88o3 99614 99613 o883i 99609 08860 99607 0888999604 08918(99602 0894 7 1 99 590 0897699596 09(x>5 99594 09034 995< 09063 99588 09092 99586 09121 99583 o9i5c[9958t> 0917999578 o9a(»8, 99575 09237 99572 09266 99570 09 J95 995H 093^4 99564 0935199 563 09382 99559 094 ' I 99556 10453 10482 io5ii io54o 10597 10626 io655 10684 10713 COil. 99452 99449 99^{4o 99443 1056999440 99437 99434 99431 99428 99424 107439942' 10771 [99418 10800,9941 5 10829 99412 1 08 58 1 99409 70 ■m. 12187 12216 1 2245 12274 I3302 1233 1 i236o 12389 12418 12447 10887 99406 10916 9940 :> 10945 99399 10973 99 39fi 1 1 00 3 99393 09440 99^ ■)i 07^6999551 09I98 9954H 095 >-r 99545 f>9556 99542 09 58 5 99540 09*^1499537 096 42; 995 34 0967 1 1 995 3 1 09-700 99528 09^59 995 i6 0975^199523 o9'87; 99520 09B16 9951 r)9S45t995i4 t io3i 9939f) 1106099386 1 108999383 1111899380 m47 99377 1 1 17699374 1 1 2o5 99370 1 123499367 1 1263 99364 1 1291 99360 12476 i25o4 12533 12562 12591 Co 12649 99200 99197 12678199193 12706J99189 12735:99186 1 132099357 1134999354 1137899351 1 1 40-' 99347 1 143699344 09H7419951 1 0(30*13 97508 «Qg3'j 09761 09700 lOOIQ 10048 10077 10106 ioi35 Q95i»6 975o3 99500 10164 10192 10221 io25o 10279 io3o8 io337 io366i 99497 99494 9949' 994H8 99485 99482 99479 99^76 99473 99470 99467 99464 99461 io395|99458 1042499455 10453J99452 I i4>5 993'(i II 49i 9933-1 1 1 52 3 99334 1 155*> 99331 iiSHo 99327 1 1609 973 1 4 ii638 99320 11667 99317 II 696 993 1 4 1 17*^5 99310 1 2764:991 8 > 1279399178 12822199175 i285i 9917 I288 i3 1^49914^ go iin. 13917 13946 13975 i4oo4 i4o33 i4o6i 14090 C1W. 99027 99023 99019 99015 99011 99oi7 16046 COS. 98769 98764 98760 98755 98751 98746 98741 98737 98732 98728 1463798923 1466698919 14695 98914 14723 98910 14752 98906 1 305399144 14781 9890 J i3o8tl99i4i 148109889-' i3i 10 99137 1483898893 i3i39 99i33 1486798889 13168:991291489698884 '319799125 i3>26 99i22 i3»54 99118 1328399114 !33t2J99iio I 1754 993* )7 1 1783 993f>3 ii8i2j993(Ki I r84o 9929 1 1 869 99293 898 9929* 1 1927 99286 1195699283 1198599279 1201499276 cm. tin. 84° 1204399272 1 207 1 {99269 1210099265 1 2 1 29 99262 I2i58|99258 1218799255 COS. ■in. 830 i334ii99io6 13370*99102 1339999098 1 3427 99094 .34569909. I<» 14925 9S88 1495498876 1 4982 9887 1 «5oii 98867 • 504098863 98723 987!8 987'4 98709 98704 16074198700 16103198695 161 32 98690 1616098686 618998681 1621898676 6246 9867 1 16275 98667 1630498662 16333 .6367 16390 16419 16447 98657 98652 98648 98643 9S638 1 647698633 i65o5 16533 .6562 16591 16620 98629 98624 98619 98614 986^^9 13485,99087 1 35.4,99083 1 3543|99.)79 13572,99075 1360099071 1 3629 9906- .3658, 99063 13687,99059 1371699055 13744,9905 1 13773,9904- i38o2J99o43 1 383 1 99039 i386o'99o35 13889:99031 13917199027 1 5f>69 9*<858 1 5097 98854 1 512698849 15.5598845 i5i849884' 15212,98836 i524ij9883-^ .527098827 1529998823 15327I98818 1 6648 1 98604 i6677|986oo i67f>6|98595 16734 9859^) .6763|98585 1 6792 1 98580 1682098575 1684998570 1687898565 1690698561 153569881 1 5385,98809 15414,98805 15442198800 1 547 1 98796 COfl. Hin. 820 15500^98791 1552998787 15557:98782 15586^98778 i56i5[98773 1 5643.98769 CO*. sin. 810 16935 16964 16992 17021 i7o5o 98556 98551 98546 9854. 98536 98537 98526 98521 98516 98511 98506 98501 17279I98496 17308 98491 1733698486 17365,98481 60 U 57 56 55 54 53 52 ii 5o 4, 4 47 46 15 44 43 42 ii 4o 39 38 37 36 l5 34 33 32 3i ■37> 29 28 27 _26 24 23 22 21 20 »9 18 17 16 75 i4 i3 12 II 10 9 8 7 6 5 4 3 3 1 o C08. 8in. 3 3 3 3 3 3 3 3 3 2 3 a 2 a 2 2 2 2 2 2 2 2 2 2 2 2 2 2 a I 1 I I I I 1 1 1 1 I I I I I I I I ? I o o o o 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 a 2 2 2 2 2 2 I I I 1 1 1 1 I I I I 1 I 1 I o o 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 .3 3 3 3 3 3 3 3 3 3 3 a 2 a 2 3 2 2 3 3 2 a a I I 1 I 1 I 1 1 I I 1 1 80° Diff. NATURAL SINES AND COSINES. 281 DifT. 29 28 O o I I 2 7 7 8 8 _9 9 10 ro II 1 1 12 12 i3 i3 i4 i4 5i4 i5 9 20 20 21 21 22 22 23 23 24 24 25 25 26 26 i5 16 76 n n 18 18 «9 19 20 20 21 27 27 28 28 29 29 21 21 22 22 23 24 24 25 25 26 27 27 28 28 o I 2 3 4 5 6 7 8 1 o I 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 19 38 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 Si 55 56 57 58 59 60 10° am. 77355 17393 17422 17451 1747 9 i75f>8 17537 17565 17594 17623 COS. 98487 98476 98471 98466 98461 17651 17680 17708 ^737 17766 17794 17823 17852 17880 17937 17966 17995 18023 i8o52 i8o87 18109 i8i38 18166 18195 18224 18252 18281 i83o9 18338 18367 98455 98450 98445 98440 98435 98430 98425 98420 98414 98409 9'84o4 98399 98394 98389 98383 98I78" 98373 98368 98362 98357 98352 98347 98341 98336 98331 11° Bin. I COS. 98325 98320 983 1 5 98310 983o4 98288 98283 9827 7 98272 98267 98261 98256 98250 98299 18395198294 18424 18452 1 848 1 i85o9 -.8538 1 8567 18595 1862 4 18652 1 868 1 18710 18738 18767 78795 18824 i8852 18881 18910 18938 18967 18995 19024 19052 19081 9B245 98240 98234 98229 98223 98278 98212 98207 98201 98196 98190 98185 98179 98174 98168 98163 9081198163 9109I98157 9i38|98i52 9167I98146 9i95!98i4o 9224198135 9252198129 9281:98124 930998118 9338 9366 9395 9423 9452 9481 98112 98107 98101 98096 98090 98084 9509I98079 9538198073 9566 9595 9623 9652 9680 9709 9737 976 6 9794 9823 98067 98061 98056 98050 98044 98039 98033 98027 98021 98016 98511980TO 9880 98004 9908 97998 9965 9994 20022 2oo5i 20079 20108 20 1 36 2oi65 20193 20222 20250 20279 2o3o7 2o336 2o364 20393 2042 2o45o 20478 2o5o-» 2o535 12° Bin. 20791 20820 20848 20877 20905 20933 20962 20990 019 o47 97992 97987 9798 97975 97969 97963 97958 97952 97946 9794 97934 97928 97922 979(6 97910 COB. Bin. 790 97905 97899 97893 97887 97881 9^78^5 97869 2o563|97863 20592197857 2062097851 COB. 97815 97809 97803 97797 97791 97784 97778 97772 97766 97760 076 io4 I 32 161 189 97754 97748 97742 97735 97729 218 246 275 3o3 33i 97723 97717 97711 97705 97698 36o 388 417 445 474 5o2 53o 559 587 616 644 672 701 729 758 786 8i4 843 871 899 97692 97686 97680 97673 97667 97661 97655 97648 97642 97636 97630 97623 97617 9761 1 97604 13° Bin. COS. 2249597437 22523 9743o 22552 2258o 22608 22637 22665 22693 22722 22750 22778 22807 22835 22863 22892 97424 97417 974n 97404 97398 97391 97384 97378 97371 97365 97358 97351 97345 22920 22948 22977 23oo5 23o33 97338 97331 97325 97318 973 1 1 23062 23090 23ii8 23 1 46 23i75 232o3 2323l 23260 23288 233i6 928 956 985 220l3 2204l 22070 22098 97598 97592 97585 97579 97573 97566 97560 97553 97547 97541 97534 97528 22126197521 22i55[975r5 2218397508 20649 20677 20700 20734 20763 20791 COS. 97845 97839 97833 97827 97821 97815 sin. 730 22212 22240 22268 22297 22325 97502 97496 97489 97483 97476 22353 22382 22410 22438 22467 22495 23345 23373 s34oi 23429 23458 140 Bin. 24192 24220 24249 24277 243o5 24333 24362 24390 24418 24446 COS. 97o3o 97023 97015 97008 97001 96994 96987 96980 96973 96966 24474 245o3 24531 24559 24587 2461 5 24644 24672 24700 24728 97304 97298 97291 97284 97278 9727 97264 97257 97251 97244 97237 97230 97223 97217 97210 23486 235i4 23542 23571 23599 23627 23656 23684 23712 23740 23769 23797 23825 23853 23882 97203 97196 97189 97182 97176 23910 23938 23966 23995 24023 97169 97162 97155 97148 97141 97 1 34 97127 97120 97" 3 97106 97100 97093 97086 97079 97072 24756 24784 248 1 3 24841 24869 24897 24925 24954 24982 25oio 96959 96952 96945 96937 96930 96923 96916 96909 96902 96894 96887 96880 96873 96866 96858 96851 96844 96837 96829 96822 25o38 25o66 25094 25l22 25i5i 25179 25207 25235 25263 25291 25320 25348 25376 254o4 25432 25460 25488 255i6 2 5545 25573 COB. 97470 24o5i 97463 24079 97457 24108 97450 241 36 97444 97437 Bin. 36 24164 97065 97o58 9705 1 97044 97037 24i92|97o3o COS. sin. 76° 2 56oi 25629 25657 25685 257l3 2574 25769 25798 25826 25854 25882 COB. 96815 96807 96800 96793 96786 96778 96771 96764 96756 96749 96742 96734 96727 96719 96712 96705 96697 9669c 96682 9667 5 96667 9666< 96653 96645 96638 96630 96623 96615 96608 96600 96593 sin. 750 60 59 58 57 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 40 39 38 37 l5 34 33 32 3i 18 29 28 27 25 24 23 22 21 20 »9 18 17 _f6 75 i4 i3 12 11 10 9 8 7 6 ~5 4 3 2 I o 1 I I I I o ojo 010 0|0 00 o o 6 8 8 8 8 7 7 7 7 7 7 7 7 6 6 56 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 2 I I I I I I 1 I o o o o 8 Piff. NATURAL SINES AND COSINES. Diff. 29 o o I I 2 m 27 I -^11 a4 »3 27 »6 2928 29 28' o 1 2 3 J 5 6 7 8 _9 10 II 12 i3 !i 1 5 i6 17 r8 11 20 21 23 23 24 150 •I'll. 25882 25910 25938 25966 35994 26022 26o5o 26107 26135 26163 26219 26247 26975 263o3 2633 1 COS. 96593 96585 96578 96570 96562 16© ■in. 27564 2759a 27620 27648 27676 96555 96547 26079 9654io 27759 96070 9653a 27787 965;>4 965 96509 96502 9O4 964^6 96479 96471 26359 96463 26387 26415 26443 26471 265oo 26528 26556 96456 96448 96440 96433 96425 96417 96410 26584 26612 26640 26668 96402 96394 96386 96379 27704 27731 en. 96126 961 18 961 10 29293 96102 96094 27815 27843 27871 2789996029 27927 27955 27983 28011 28039 28(367 28095 28123 28i5(> 28178 28206 28234 26696963 96363 96355 26724 26752 2678(t1 2680896340 26836196332 26«64 26920 96324 96316 96108 2694896301 26976 96293 27w>4 27032 27060 27088 27116 27144 27172 27200 27228 28541 2856y 2859 28625 28652 962S5 96377 96261 96253 96246 96238 96230 96222 2725696214 96206 27284 273r2 27340 27368 27396 27424 27452 2"t48o 96166 96158 96150 275o8j96i42 2753696134 2756496126 28262 28290 283 1 8 28346 28374 96086 96078 96062 96054 96046 960J7 96021 96013 965 099" 95989 95981 95972 95964 95956 95948 93940 95931 m Kin. 29237 29266 29321 29348 29376 29404 29432 29460 29487 29515 29543 29571 39699 29626 29654 29682 29710 29737 29765 COB. 9563o 95622 95&1 3 30957 956o5 955963101a 95588 9557931068 95571 " 9556a 95554 95545 95536 95528 95519 9551 1 95502 95493 95485 95476 95467 95923 93915 95907 95898 95890 28402 958«2 28429|958-r4 28457 28485 285 1 3 28680 28708 96269 28736 28764 28792 95799 95791 95782 95774 95766 28820 2884-' 28875 28903 28931 96198 g6iQo 96182 96 r 7(1 2 9070 28959 5898-' 29015 29ft42 95865 95857 95849 29793 29821 29849 29876 29904 29932 29960 29987 18° BID. 30902 30929 30985 CW. 95ro6 95*397 95088 95079 95070 3io4o 31095 3ii23 3iiSi I90" Bia. 31178 3 1 206 3 1 233 3i26i 31289 3i3i6 3i344 3 1 372 3i399 3j427 95459 3 1 454 95450 3i482 95441 3i5io 9543331 537 95424 95415 95407 95398 jiV>or5'95389 5oo43 9538f) 95841 95832 95824 95816 95807 95757 95749 95732 95724 95715 9570-7 95698 95690 95681 3f)07 1 398 3oi26 3oi54 30182 95373 95363 95354 95345 95337 3i565 3i 593 31620 3 1 648 31675 3r7o3 9506 95«:>52 95043 95o33 95024 950 1 5 95006 94997 94988 94979 94970 94961 94952 94943 94933 94924 94915 94906 94897 94888 94878 94869 94860 948 5 1 94843 30209 3C»237 3o265 30292 3o52o 3o348 30376 3'o4o3 3o43i 3o459 3(>486 3o5f4 95740 3o542 3o57o 3o59 3o6>5 95328 95319 95310 9530 95293 95284 95275 95266 95257 95248 95240 95231 95225 95213 95204 95r95 eoi. I »«n. 740 29098 95673,30763 2912695664-30791 29154 95656. 3o8 1 g 29t82 956 <7 3o846|95i24 29309J95639 30874 95 1 1 5 292 3-»9563f 3090295106 3065395186 96177 9516H 95i5o 95 1 5o 95i33 3o68o 3o7ofi 3o736 tJOi*. «in. 730 OM. Sin. 7-30 3 1730 3i758 3r786 3i8i3 3r84i 94&32 94823 94814 948o5 94795 32557 3'2584 3 261 2 32639 32667 COS. 32694 32722 32749 32777 32804 94552 94542 94533 94523 945i4 32832 32859 32887 32914 32942 32969 32997 33o2-4 33b5r 33079 94370 33io6 33 1 34 33i6i 33244 33271 33396 33396 33353 3338 33408 945o4 94495 94485 94476 94466 94457 94447 94438 94428 944 r 8 94409 94399 94390 94380 94361 94351 94342 3318994332 3321694322 943 1 3 943o3 94293 94284 94274 3 1 868 31896 31923 3195 1 31979 32006 32o34 32061 32089 32ri6 32I44 3^2171 32 1 99 32227 32254 94740 94730 94721 94712 94702 32282 33 30Q 32337 32364 3239'> 32419 32447 33474 32502 325^9 32557 CO". 94786 94777 94768 94758 94749 94693 94684 94674 94665 94656 946-16 Q463- 946^*^7 94618 94609 94599 94590 94580 94571 94561 94552 94264 94254 33436194245 33463 33490 335 r 8 33545 33573 336(X) 33627 33655 33682 33710 3373t 33764 33-»92 338rQ 33846 33874 33911 339'>o 33956 33983 34of I 34o3R Bin. 7|0 34o65 34093 34i?o 34 1 47 34175 34200 COB. 94235 94225 942 1 5 94196 94186 94176 94167 94157 94147 94r37 94127 94n8 94108 94098 94088 94078 94068 94058 94049 9io39 94039 94019 94009 93909 qV9 9?9^9 93969 60 5 57 56 55 54 53 52 5o 49 48 47 46 45 A^ 43 42 4^ 4o 3 37 35 34 33 32 3i 3b '? 27 26 25 24 23 22 21 20 r9 f8 r? ro 75 \A 1 3 12 ri ro 9 8 7 _6 5 4 3 2 I o Bin. 710 78 7 7 7 7 6 6 6 6 6 6 6 5 5|6 5j6 56 5 5 9 lO 10 10 10 9 3 5 5 4 4 4 4 4 4 4 4J4 34 i\A 3|3 3;3 33 313 3 2 2 2 2|2 2:2 2 2 V^ 2 2 I 2|2 r 2 II 7|7 rji r I !l' ) !< 01 00 00 00 00 7I8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 I 1 I I 9 9 9 9 1 8 8 8 8 "8 7 7 7 _7 7 7 6 6 ^ 6 6 6 5 I I o o o o 9 10 r I r o o \m. NATURAL SINES AND COSINES. 283 Diff. 28 o o I I 2 2 3 3 4 4 5 5 6 6 1 7 7 8 8 1 9 o o I I a 2 3 3 4 4 4 5 5 6 27 o o I I 2 2 3 3 4 A 5 5 5 6 6 26 6 7 7 8 8 9 9 20 20 21 21 21 22 22 23 24 24 25 25 26 26 27 27 28 28 6 6 7 7 8 8 8 9 9 20 20 21 21 22 22 23 23 23 24 2_4 25 25 26 26 27 37 20 20 20 21 21 22 22 23 23 23 24 24 25 25 26 26 I 2 3 A_ 5 6 7 8 3 o I 2 3 4 5 6 7 8 W° 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 40 4i 42 43 A4 45 46 47 48 49 5o 5£ 52 53 54 55 56 57 58 59 60 Bin. 34202 34229 34257 34284 343 1 1 34339 34366 34393 34421 34448 34475 345o3 34530 34557 34584 34612 34639 34666 COS. 93969 93959 93949 93939 93929 93919 93909 93899 95889 93879 93869 93859 93349 93839 93829 93819 93809 93799 34694193789 34721193779 21° Bin. COS. 35837 35864 35891 35918 35945 35973 36ooo 36027 36o54 36o8i 367^8 36 1 35 36162 36190 36217 93358 93348 93337 93327 93316 93306 93295 93285 93274 93264 36244 36271 36298 93253 93243 93232 93222 932 1 1 93201 93190 93180 220 sin. COB. 37461192718 37488 92707 37515I92697 37542 37569 37595 37622 37649 37676 37703 37730 37757 37784 3781 1 37838 36325 93169 36352 93159 37865 37892 37919 34748 34775 348o3 3483o 3485 7 34884 34912 34939 34966 34993 35o2i 35o48 35075 35io2 35i3o 35 1 57 35i84 35211 35239 35266 93769 93759 93748 93738 93738 93718 93708 93698 93688 93677 93667 93657 93647 93637 93626 35293 35320 35347 35375 35402 35429 35456 35484 355ii 35538 35565 35592 35619 36379 93 1 48 364o6 36434 3646 1 36488 93x37 93127 93116 93106 365 1 5 93095 3654293084 36569 93074 36596193063 36623 93o52 3665o 36677 36704 36731 36758 93616 93606 93596 93585 93575 93565 93555 93544 93534 93524 36785 368 1 2 36839 36867 36894 36921 36948 36975 37002 37029 93514 935o3 93493 93483 93472 93462 93452 93441 3564793431 35674 35701 35728 35755 35782 358 10 35837 COS. 93420 93042 93o3i 93020 93010 92999 92988 92978 92967 92956 92945 92686 92675 92664 92653 92642 92631 92620 92609 92598 92587 92576 92565 230 sin. 39073 39100 39127 39153 39180 39207 39234 39260 39287 39314 39341 COS. 92o5o 40674 92039 40700 92028 92016 92005 91994 91982 91971 91959 91948 91936 92554 92543 92533 3794692521 37973 925 ro 3799992499 38026192488 38o53|92477 38o8o 92466 38107 92455 38 1 34 38i6i 38 188 382 1 5 3824i 38268 38295 38322 38349 38376 384o3 39367 91925 39394 91914 840 sin. 40727 40753 40780 40806 4o833 40860 40886 40913 COS. 91355 91343 9i33i 91319 9i3o7 91295 91283 91272 91260 91248 40939 60 59 58 57 56 55 54 53 52 5i 91236 39421 39448 39474 39501 91902 91891 4096691224 40992 9<2[2 4IOI9912OO 4io45i9ii88 91879 91868 39528191856 39555191845 3958191833 41072 41098 41125 91176 91164 91152 4ii5i 91 i4f» 41178 91 128 39608 91822 3963591810 39661 91799 3968891787 39715J91775 4120491 1 16 4i23ij9iio4 4125791093 4i284|9io8o 4i3iOj9io68 92444 92432 92421 92410 9.^^99 92388 92377 92366 92355 92343 39741191764 3976891752 39795'9i74i 39822 91729 3984891718 92332 93410 93400 93389 93379 93368 93358 37056 37083 371 10 37137 37164 37191 37218 37245 37272 37299 37326 37353 37380 37407 92935 92924 92913 92902 92892 92881 92870 92859 92849 92838 92827 92816 92805 92794 92784 3843092321 38456 38483 385io 38537 38564 38591 38617 38644 38671 38698 38725 38752 38778 3'88^5 38832 92310 92299 92287 39875,91706 39902'9i694 399289 1 683 39955J91671 39982 91660 40008I91648 4oo35 91636 4006291625 4c>o88:9i6i3 4oi 1591601 4i337]9io56 4i 363 91044 41390J91032 4141691020 4i443 91008 41469I90996 41496190984 4i522 90972 41549190960 4157590948 90936 5o 49 48 47 46 45 AA 43 42 4i 41602 41628 4i655 41681 41707 92276 92265 93254 92243 92231 93220 92209 92198 92186 92175 92164 92152 4oi4i 91590 40168 91578 40195 40221 40248 40275 4o3oij9i5i9 40328,91508 4o355'9i496 4o38i|9i484 Bin. 690 92773 92762 92751 92740 37434{92729 37461 92718 COS. Bin. 680 38859 92 1 4i 3888692130 38912 92119 3893992107 38966,92096 38993^92085 39020 92073 39046^92062 39073,92050 91 566 91555 91543 9i53i 90924 9091 1 90899 90887 41734 41760 41787 4i8i3 4i84o 41866 41892 41919 41945 41972 90875 90863 9085 1 90839 90826 90814 90802 90790 90778 90766 4o 3 37 36 35 34 33 32 35 29 28 27 26 25 24 23 22 21 4o4o8i9i472 40434,91461 4o46i 91449 4048891437 4o5i4i9i425 C03. Bin. 670 4o54i'|9i4i4 4o567| 91402 40594,91390 4062 1 19 1 378 40647 91 366 4067491355 COB. 8in. 66° 41998 42024 42o5i 42077 42104 421 3o 42 1 56 42 1 83 42209 42235 42262 90753 90741 90729 90717 90704 COS. "I 90692 90680 90668 90655 90643 9063 1 sin. 20 '9 18 16 i5 i4 i3 12 II II II II 10 10 12 12 12 II II 10 10 10 10 _9 9 9 I 8 8 8 8 _8 7 7 7 7 2 6 6 6 6 6 II ti II 10 lO i3 i3 i3 12 12 12 12 II II II 10 65° 10 10 10 9 9 9 9 II II 10 [O 10 10 10 91 9 6 5 5 5 5 4 4 4 4 "4 3 3 3 J 3 3 2 2 a o o o TT 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 1 3 3 2 o o o T2 9 1 9 8 8 8 8 1 7 7 7 2 7 6 6 6 5 5 5 5 4 4 4 4 3 1 3 2 2 2 2 I I I I o o o l3 Diff. I 284 NATURAL SINKS AND COSINES, Dig: ;.27| Ml -45 25 =» «iii. COS. 26» tin. 4-j»6-i 9o63i 4383: 4228891*18 43863 423 1 5 9ci6«")6 42341 90694 42367 90 SS 2 42394 9tj569|43968 4242o;9o557 42446 9<»545 424739(1533 42499'9t.'>52( COS. 89879 89867 43889I89854 39.689841 89838 270 Din. 43942 S9816 43994 89803 44*>2(i 89791) 89777 4i*:iii 5.9050, 42552*90495 42578|9o483 42604190470 42657 9t*446 42683 90433 4270990421 4273690^08 4276* 90396 427o5'9*i353 44359 4281590371 4438^ 42841 903 58 444 I 42t:67 90346 44437 I 42894 90334 44464 89752 89739 89726 89713 442o3897o24 44i5i 44177 89764 45399 45425 4545 1 45477 455o3 45529 45554 45580 456o6 45633 4"5658 45684 457i<» 45736 45762 COS. S80 »in. CO*. 44229 44255 44>8i 443* »7 44333 429309032! 4294690309144516 ~ 44542 44568 44594 42972190296 439999^)284 43o23 9027r 8957 1 44490 89558 89657 89674 89663 89649 896 3fi 89623 459 89610459.42 8959^459(18 895H4 45994 46020 45787 458 1 3 45839 45865 45891 1 891 01 89087 89074 89<,)6i 89048 89035 89021 89<:)o8 ^ 88995 4 8898 88968 88955 88943 88938 88915 88903 88888 88875 88863 88848 4694788295 4697388281 46999'88267 47o24|882 54 47o5oi8834o 4707*) 88226 47 10! 88213 47i27'88i99 43o5i 9<»3 59 4463o 43o77'90246 44646 431049023344672 43 1 309022 1 44698 431569020844724 43182 9111964475089438 4320990183 43235 901 7 1 43261 90158 43 287 '90 1 46 433i39oi33 4334090130 43366:90108 43392J9«x>95 43418J90082 43445 r9OO70 4347i|9^x'57 43 497 [900 4 5| 89545 8953 89519 895o() 89493 8948" 89467 89454 89441 46046 46073 46097 46123 46149 88835 88823 888. iin. G40 45373:89114 453998910. CO*. ain 46175 46301 46236 46353 46378 463o4 46 3 3o 46355 4638. 46407 46433 46458 46484 465 10 46536 46567 46587 466.3 46639 46664 46690 46716 46742 46767 46793 88701 88688 88674 88661 8864- 88634 8862 88607 88593 885H( 88566 88553 88539 88526 885.3 474fK> 47486 475 1 1 187993 88089 88075 88063 88o48 88o34 880 3 o 88cx:)6 4860887391 48634'87377 48659'87363 4868487349 48710I87335 48735,87321 48761 87306 48786 87293 48863 87278 87264 87250 48888I87335 489.3 8722. 48938187207 4896487.93 60 59 58 57 56 55 54 53 52 5^ 5o 49 48 47 4(^ 13 I I It i2ji3 i4 12 1 3 14 1 3 14 12 i3 12 i3 12 i3 .2 i3 1113 1113 1112 4?537 47662 47588 476.4 47639 47665 4-690 47716 4774 » 47767 47793 478.8 47844 47869 47895 47930 47946 87979 87965 87961 87937 87923 8789*) 87883 87868 87854 8-r84( • 87836 4898987178 490.4 87164 4904087150 4906687.36 49f»9o'87i2i 88485 88472 88458 88446 8843. 884.7 884o4 8839^) 88377 468.9 88363 46844,88349 4687088336 4689688333 4693 . 883o8 4694788295 47971 47997 48022 48048 48073 88499J48099 48124 48i5o 48176 48201 13 878 87798 87784 87770 87756 87673 87669 87645 87631 87617 48226 48262 48277 483o3 48328 am. •tn. 63° I 620 48364 48379 484o5 4843o 48466 87743 87729 87715 8770. 8768- 491 16 87107 4914187093 4916687079 49.92 87064 492^7 87060 49342 1 87036 49268 87031 49393 87007 4931886993 4934486978 4936986^4 49394 86949 4941986935 4944586931 4947086906 49496,86893 49521,86878 4964686863 49671; 86849 49696 86834 87603 87689 87676 8766. 87546 87533 876.8 87604 87490 874761 49633.86830 49647;868o6 4967286791 49697,86777 49723,86762 45 4d 43 42 4^ 4o 39 38 37 36 35 34 33 32 ^1 3o 39 28 27 26 34 33 22 2. 20 19 18 "7 .6 4848187462 COfl. Kin. 6I0 49748 86748 4977386733 49798867.9 49824 86704 49849 86690 ^9874866^5 498998666. 49934 86646 49960 86632 4997686617 60000, 866o3 COd. sin. .5 i4 .3 12 1 1 10 t 7 _6 6 4 3 2 I o 1 1 1 1 1 1 10 JO .0 10 10 9 _? 9 9 t 8 8 8 7 J7 7 7 7 6 6 6 6 6 5 5 5 5 4 _4 4 4 4 3 3 u 12 II 11 ro I . .0 I . .0 . . 10 n 10 10 9 10 9 10 9 .0 __ 9 8 8 8 _8 1 7; 7 7: 1 ! 6 6 "5" 5' 5! I 4 4 4 4 3 3 3, 3{ 21 2 2 3 2 I 6O0 12 5 4 4 4 A 4 3 3 3 i 2 2 2 2 NATURAL SINES AND COSINES 285 Diff. 25 24 23 4 8 9 9 10 .0 .0 u 12 12 is i3 1 3 i4 14 .5 .5 16 .6 .6 17 17 4 4 5 5 8 8 9 9 10 .0 8 8 8 9 10 10! 10 II 12 10 1 1 I . .2 12 12jl2 l3 12 i3'.3 .4!i3 71 14 14 i5 i5 16 Diff. 16 16 '8117 18 17 18 18 .9:18 30I19 20|l9 20,20 14 14 .6 16 16 .6 17 21 21 22 22 23 17 .8 f8 18 19 20 20 21 21 22 23|22 23j22 24 23 24 25 23 24 •9 20 20 20 21 21 21 22 22 23 25l34'23 o I 2 3 5 6 7 8 1 10 . I 12 .3 14 .5 16 •7 18 ^1 20 21 22 2 3 24 26 26 27 28 29 3o 3. 33 33 34 35 36 37 38 4o 4i 42 43 44 30° 45 46 47 48 ^_? 5o 5i 62 53 54 55 56 67 58 59 60 Bin. 5oooo 60035 60060 60076 60101 60.36 5oi5« 60176 60201 60227 5o352 COS. 60377 6o3o2 5o337 60362! 60377 5o4o3 60428 60453 50478 5o5o3 50338 5o653 60678 5o6o3 60638 5f)654 60679 60704 60729 866o3 86588 86673 86669 86544 8653o 865.5 865o. 8<)4«6 86471 86457 86443 86427 864.3 86398 8lH84 86369 86364 86340 86325 8'6iTr) 86396 86281 86366 86361 31° 810. 5i5o4 5.529 5.554 6.579 5.6f)4 61628 5.653 5.678 6.703 5.738 COS. 867.7 86702 86687 86672 85657 32° sin. 6.753 61778 6.8o3 5.828 6.853 5.877 5 1 903 "[937 5.952 5.977 85642 86627 856.2 86697 85582 86337 86222 86207 86192 86. 78 62003 53036 6306. 63076 53 10. 63.26 621 5. 63175 62200 62726 85567 8556 85636 8552. 855o6 8"5497 86476 8546. 85446 8643. 8l476 854o. 85385 85 3-0 85355 63992 53017 63o4i 5 3 066 COS. 84806 84789 84774 84769 53091 84743 53 .75 84728 53r4o 84712 53.6484697 53 1 8918468 1 532.4 84666 8465o 53338 53363 53388 533.2 53337 53367 53386 634 1 1 53435 33° sm. COS. 340 9in. i COS. 54586 546.0 54635 5446483867669.983904 54488 8385. 5594382887 545j3 54537 54561 838355596883871 838i9|65992 82865 838o4 83788 83772 83756 54659'8374o 546838373.4 5470883708 84635 54732!83693 64766'83676 84619 846o4 84588 845^3 84567 84543 84526 53460845.1 60764 86i63j5226o 60779 86.48 53376 5o8o4:86(33iD3399 6082986. .9 6o85i|86.o4 5o879:86o.i9 8534o 86335 853.0 86294 86379 85^j4 86249 86334 633341853.8 53349!853o3 5348484496 5350984480 53534I84464 53558'84448 53583|8M_433 53607844.7 63633:844o2 53656 84386 64781 64»o5 54839 54854 8366o 83645 83629 836.3 54878183597 549028358. 5493783565 5496 1 1 83549 5497683533 64999835.7 66024 835o. 55o4883486 6601682839 6604082822 66 8374. 56184 82724 6620882708 56232183693 6626683675 63374 85.88 85.73 6o9o4'86o74 63399 6o939'86o59 53423)85.57 5o954|86'.45 5244S|85i42 60979,86030 63473 85.27 6 1 004.860. 5| 5 2 498 5.o39;86ooo52632 5(05486986 62647 5.079|8597o'53 572 5 [104,86956 62697 5368. 53706 84370 84365 5373084339 5375-4!84324 5377984308 538o4 84392 53828184377 53"853'84^r 5387784346 53902 8433o 53936842.4 5 395., 84 .98 55072J83469 55097-83463 55.31183437 55i45i8342i 55.6983406 85 II 3 53976 84.82 86096 6400084.67 86081 54024:84.6. 860665404984.35 55.9483389 552i8'83373 66242 183366 55366 8334o 56291 83324 55375,833(78 65339'83392 5536383276 5538883260 554 1 2183244 85o6i 5. 1 298594ij5v63ij85o35 6u54j85926:63646|85o3o 5. 179 869. 1 5267i;85oo5 85866 5 1 204186895 5.3 39|8588f 5.254 61279 6i3o4 5.339 5.354 62696^84989 6272084974 54073 84i3o 5409784104 54t33;84o88 64 1 46 84073 64i 71 184067 54.96^8404. 5433084035 63745 84969 8585r|5377o 84943 64244 84009 85836 52794 84938 5436983994 8583 1 628 . 9 8491 3 64393 83978 86806 53844 8489 7 5137918679262869^84882 5i4o4 61429 5.454 5.479 5.604 C03. 54317,83962 5434283946 54366 83930 6543683228 5546o'832i2 5548483. 96 6660983.79 5563383.63 55557 83 147 5558. 83.3. 556o5 83ii5 5563o83o98 65654:83o82 66280 83(r39 563o5j8i643 6633982626 56353 836.0 6637783593 6640.182677 564358256. 6644982644 6647382638 66497 8261 . 5,163 1 82496 6654583478 66669 82462 5669382446 66617 83429 5664. 824.3 5666682396 6668982380 567.3 82363 5673682347 6676082330 66784,823.4 66808182297 56832 '8228 1 56856 82264 85777J5 2893 84866 86762629188485.154391:83915 85747 5294384836 54416 83899 86732 62967 84820 5444o'83883 86717 sin. 5.»o 6299284806 COS. am. 5S° 54464,83867 COS. sin. 57° 55678j83o66 55702'83o6o 5672683o34 5675oj83oi7 55775:83ooi 66799,839851 6688082248 569048223. 66928822.4 5696282.98 66976 82.81 6700082165 6702482148 67047,82132 6707. 82116 67096 82098 6711982082 6714382066 67167,82048 57191 82032 67215 82016 572388.999 55823 82969'57262 81982 56847182953,6738681966 6687.1829366731081949 66896,82920 669 1 9' 82904 COS. sin. 56° 673348.932 57358819.6 cos. sill. 55° 60 59 68 57 56 65 54 53 52 5i> 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3i 3^ 29 28 27 26 is 34 23 22 21 20 19 18 17 .6 i5 i4 i3 12 II 10 9 8 7 6 :5j: [5! :5, (4 i4 i4' i4 3 3 3 [3' [3 2 [2 12 1 I I I 10 10 10 10 9 9 6ji7 6I17 5 16 5i6 16 16 i5 i5 i5 i4 i4 i4 14 i3 i3 i3 12 12 12 12 9 9 8 8 8 8 7 7 7 _7 6 6 6 6 i5 i4 4 i4 'i 1 3 i3 3 t3 2 2 2 J 1 I 1 o o o o ~9 9 9 9 _8 "8 8 7 7 2 1 6 6 6 6 11 11 If 10 10 10 10 9 9 I 8 8 7 7 7 6 5 5 5 4 4 4 3 3 1 3 3 2 2 I r I I o o 5 5 5 5 _4 4 4 3 3 "3 3 2 2 3 I I I I O O 6 5 5 5 ^ 4 4 4 3 3 15' 16 irni 3 3 3 I I 1 I O O 17 I i 886 NATURAL SINB8 AND COSINKS. if4 O O .,1 1 2H » o €1 I I I 3' *1 M 3 3! 3 3; 3!; 3 4' 4' 4 4i: 4 5 5 51 1 i; «# 6| 5 iJ|i UP 6 71 7 A! Hi 8 8 8 O' 8 9 to 9 lO II lO II II 1 9 1 1 4 4 5 c •J 6 6 6 7 _7 7 8 8 1 9 ro lo II la ra 1 1 la-i'j It I all a i3 12 1 3 1 4, i4fi3ii 3 i4ii4ii3 i5' i4||4 i5|i5|;i4 i6 i5|i4 i6!i5j,i5 i6|, i6|i5 I7jii6)i5 I7ji6ji6 ,i8j|i7 i6 i8 17 i'7 18; 18 17 i9j8'[i7 10J8118 ?o 19 18 30 I9J8 aoi 20:19 'JI X) 19 a I ^(1 1 9 2 2 JI yo 22,2] 120 22,2Ij2l 33'22'2I 34;23:22 34 23 '32 O I 3 3 4 "5 6 7 o o I o I I 12 i3 1 4 15 16 17 18 1? 2i> ai 22 23 24 25 26 2^ aa ^? 3() 3 1 33 33 31 35 36 3- 38 39 4o 4t 42 43 44 45 46 47 48 49 So Si 52 53 54 55 56 57 58 59 60 »o 57358 hi yi,^ 5738 1 ':8 1 890 Si8i3 8I86S 81848 574* »5 57429 5747"7i8i832 5-' -■H,5 3'*" . ' ' • i ■ ■ ' "l^y ^ 5754t>,^i".-'> 8 5"^)"'> 5-596' 8 1 748 576191817.31 5^643''8i7i4 57^)781698 5'769i;8^68i 577T5 87664 5 — ■'^*^'«r'>47 5-^ •'>3i 577tt6;8i6i4 5-8ii>Si597 57bTi ^T^~ 57B5- 5788118 1 546 579o4'8i53o 5792B|8i5t3 5-'952'8i496 579-«i8i4-'9 59389 5-999 Hi 46? 58o23 81445 58i>4' 81428 1S5" •in. 58836 58849 58873 588^i 5892* 809*) 2 8t>885 8o8833 8o876 80799 80782 ;)765 8<»748 ')89<:j7 58990 590i4j8o73o 59i>37l8o"»!3 59trfHJ8o<>9(i 60274 6t:»298 6t>3a 1 ()o344 60367 390 (x>4 1 4 ■9^)886179578622 604 37 1 79(171 61 8! 8' 78(104 (X)4(k» 79^>'i'<6i84iJ78586 59o84J8< 1679 6t>483 79635 6 1 864 59ii>8!8o662 ^ "^ '*'- -c « /• «« 8<'')44 8«t627 806 1 o 58«J-o8i4i2 58094J81395 58ii8j8i378 58i4i8i36i 58 1 65 81 344 58 1 tt9| Hi" 32^' 582i2J8i3io 5S23681293 582601812-6 58i83i8i259 58"3o7'8i242 5833ol8ia25 58354 81 ao8 5837881191 584oi 81 174 5842 5 18 1 1 57 58449}8i i4o 5847i'j8ii23 58496j8iKrfi 58519.81089 585 -i3 81072 58567,8 1 o55 5B59o8io38 591 3 1 59154 59178 59301 59225 59248 59272 59295 59318 59342 59 59I13 59436 8o42< 6«i5«i6 79618 6188778550 78532 6<)5>9 (x)55j 576 80576 8o558 8o54 8o534 8o5o7 80489 80455 ■)9459 59482 59506 59529 59552 59576 39^599 59622 59646 9.82!79864 6156678801 6 6094579282 60968 79264 60991 79347 6io»5 79229 6io38 61061 792 1 1 79193 59693 802 3061084 h9 176 61 107 79158 61 13079140 61 1 53 79122 61176 61 199 61222 6ia45 61368 61291 8oo56 6i3i4 59902 59926 59949JK(x>38!6i337 59972180021J61360 f»9995 J8ooo3j6 1 383 79105 79087 79069 79t)5i 79033 79016 78998 78980 78962 78944 586 1 4|8i 02 1 fx)Oi 9 79986 6i4<*!789j6 58637 8 1 004 6004 2 79968 6 1 429 78908 58684 80987 6oo65 7995 1 6 1 45 1 8o970,6(X)89|79934|6 1 474 78891 78873 78855 5873 f !8o936.'f)oi 35I79I599I61 520 78837 58708 80953^60 II 3 79916 61497 175580919 5877980^? cm. 6015879881 60182 79864 SIB.. 540 C'Chpii Kiri. 530 615(1678801 cai. iia. 520 6165878729 6 1 68 1 78711 63o45 6 1 7o4| 7869463068 6 1 7261 78676 63090 - (i3ii3 63i35 61749 7K658 797066177278640 62024 62046 62069 6225 62274 62297 62320 62342 6a 365 62 388 6241 1 63433 6a456 6a479 62502 62524 62547 62570 62592 626 1 5 62638 62660 62683 62706 62728 62751 62774 62796 61543,78819 629*19 77733 62932 785 1 4 78496 78478 78460 78442 78424 78405 78387 78369 63i58 63 180 632o3 63225 633^ 63271 63293 633 16 63338 6336i 7835 78333 783 i 5 78297 78279 78261 78243 78225 78206 7818 8 78170 78152 78134 78116 78079 78061 78043 78025 779«8 77970 77952 77934 77897 cot. 77715 77696 77678 77(j(k> 77641 77623 77605 77586 77568 7755o 7753 1 775i3 774q4 77476 77458 77439 77421 77402 77384 77366 63383 634o6 63428 6345 1 77347 77329 773 10 77392 63473,77273 6349677255 635 18 63 540 63563 77236 77218 77199 63585 17718 i 63608177162 6363ot77 1 44 63653177125 63675 63698 63720 63743 63765 63787 7809863810 63832 77107 77f>88 77070 77o5i 77o33 77014 76996 76977 (i3854 76959 6387776940 63899 769a 1 78007 63923 63944 63966 63989 64oii 7791664033 64o56 77879 64078 7786 77843 77824 64 1 00 64123 64 1 45 76903 76884 768(16 76847 76828 76810 76791 76772 76754 76735 76717 62819778061641(37 62842 7778864190 62864 7776964212 62887 7775 1 [64234 '" - - - "^ Y)4256 COP. I iin. 510 7771564279 7^)698 7(1679 76661 76642 7(1623 ■76604 cos, . I Bin. 50O 60 5? 57 56 55 54 53 52 5o 4' 4 47 46 45 44 43 42 4[ 40 3 3 37 36 35 34 33 32 3i^ 3^ 29 28 27 a6 24 33 33 31 30 19 18 «7 16 i5 i4 i3 la II 10 7 1 "5 4 3 2 I o 17 »7 16 16 11^6 16 i5 i5 i5 |4 14 M 14 i3 !l i3 12 12 12 12 I I I 1 II 10 10 10 10 9 9 _? 9 8 8 8 _7 7 7 7 6 6 4 4 3 3 3 16 6 5 5 5 5 ~4 4 4 3 1 3 2 2 3 18 18 17 17 ]1 n 16 16 16 i5 i5 i5 i4 14 ii4 i4 i3 i3 i3 13 12 12 II II II I I 10 10 10 _? 9 9 8 8 8 "8 7 7 7 _6 6 6 5 5 o o 17 11 Diff. NATUHAL SINES AND COSINES. 287 Diff. 22 21 20 3 a 3 3 3 ~4 4 4 5 6 6 6 7 7 7 8 8 8 9 o o o I I I 2 2 2 3 3 4 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 9 20 30 21 ai ai aa 32 4 4 4 5 _5 5 6 6 6 1 7 7 8 8 8 9 9 9 o o 6 6 6 7 7 8 8 8 9 9 9 ao 20 ao 31 21 o o I I 2 2 2 3 3 3 4 4 4 ^ 5 5 6 6 6 7 7 7 8 8 8 9 9 9 20 ao o I 2 3 J 5 6 7 8 ^? 10 II 12 i3 14 i5 16 17 18 }1 30 31 33 33 34 35 26 27 38 29 3o 3i 32 33 34 35 36 37 38 % 4o 4i 42 43 44 45 46 47 48 49 5o 5t 52 53 54 55 56 57 58 59 60 400 sin. 64279 643oi 64323 64346 6436 8 64390 64412 64435 64457 64479 645oi 64524 64546 64568 64590 COS. 7(1604 76586 76567 76548 76530 64612 64635 64657 64679 64701 64723 64746 64768 64790 648 1 2 64834 64856 64878 64901 64923 64945 64967 64989 65oii 65o33 765 1 1 76492 76473 76455 76436 41° sin. 656o6 65628 6565o 65672 65694 65716 65738 65759 65781 658o3 COM. 75471 75452 75433 75414 75395 (16913 (16935 66956 66978 66999 76417 76380 7636i 76342 65825 76398 65847 65869 6589! 65913 76323 76304 76286 76267 76248 65935 65956 65978 (1(1000 66022 7622966044 7621066066 76192J66088 76 1 73.66 1 09 76154 661 3 1 76i35j66i53 761 1666175 7609766197 76078,66218 76059 66240 6626.J 76041 76022 66284 65o55 65o77 65 1 00 65l22 65 1 4 4 65i66 65 1 88 652 10 65232 6525 4 65276 65298 76003 i663o6 7598466327 7596566349 75375 75356 75337 753i8 75299 6702 1 67043 67064 67086 67107 75280 75261 75241 75222 75203 75i84 75i65 75 1 46 75126 75107 75o88 75069 75o5o 75o3o 75oii 74992 74973 74953 74934 74915 420 8in. COD. 67129 671 5 1 67172 67194 67215 67237 67258 67280 67301 67323 67344 67366 67387 743 1 4 74295 74276 6820073135 68221 73l 16 68242 742566826473076 74237 74120 74100 74080 7406] 74o4i 74022 74002 430 Bin. con. 73096 68^5'73r)56 683o6j73o36 68327j73oi6 6834972996 68370J72976 694(16171934 69487171914 (19508 71894 (19529 69549 74217 74198 74178 74159 74139 68391172957 68412172937 68434172917 68455,72897 6847672877 68497172857 685i8,72837 6853972817 73983 68561 {72797 73963|6858p.72777 73944j686f)3 72757 7392468624 72737 69883 71529 73904168645 727 1 7 69904 71 5o8 73885 68666 72697 69925 71488 67409 73865 6S688 726-7 69946 71468 67430 73846 6870972657 699(i6 71447 440 ■in. con. 71873 71853 71833 71813 71792 71773 71752 (19070 69591 69612 69633 69654 6^571733 (^969671711 69717 71691 69737 69758 71071 7i65o (1977971630 69800 71610 69821171590 (i9842J7i569 69862171549 67452 73826.68730 7263^ 6747373806:6875172617 67495173787 68772 72597 67516 73767 67538I73747 74857 74838 74818 75946^(1637 75927 66393 7590866414 7588966436 7587066458 7585i 66480 75832;665oi 758i3 66523 75794'665 f 5 75775(i65(i6 75756.66588 7573866610 74799 74780 74760 74741 74722 65320 757'9(«3632 65342 65364 75700(1(1653 7568066675 653867566166697 654o8 75642'667i8 6543o 75623 (16740 65452 756o4 (16762 65474 75585 66783 75566 6(S8^i5 75547,(16827 65496 655 1 8 6554o 65562 65584 656o6 cos. 75528,66848 7550966870 75490 75471 66891 Bin. 490 747o3 74683 74664 74644 74625 74606 74586 7456- 74548 745'8 74509 74489 74470 7445. 7443 1 744 1 2 7439) 74373 74353 74334 66913 743i4 COil. Sin. 4SO 67602 67623 67645 6-()()6 67688 67709 67730 67752 67773 67795 67816 68793 72577 6 88 1 4 72557 68835 72537 ,6885772517 736886887872497 736696889972477 736496892072457 78629 78610 73590 73570 73551 7353i 735 1 1 73491 67837173472 6785973452 68941,72437 68962 72417 68983 72897 690047237- 69025 7235- 6904672887 (19067I72317 69088,72297 69109 72277 69180 7225-' 6788073482 ,691 5i 72236 67901I7341369172 72216 67928 78398(19193 73196 67944733-'3 69''i472i-6 6 7965 73853 69235 72 1 56 6798773333,6^67^6 68oo8j733 J 4169277 721 16 (18029 73294|6g998 72095 68051173274.6931979075 68072173954.698^0 79055 68093 ' 73234.6986 1' 72035 6811573215,69882 7201 5 68 1 86 78 1 9569408 7 1 995 681 57|73 175 (194 '>4 71974 68 1 79 73i 55,69445 7 1 954 6820078 1 35,694(^6 7 1 984 CO"*. sin. 470 P09. Sin. 460 69987J71427 70008 71407 7002971386 7004971866 70070J7I345 7009171825 70112 7i3o5 70182 71284 70153 71264 70 1 741 7 1 243 70195J71223 7021571208 70236|7i 182 70257171162 70277 7114 1 71121 71 100 70298 70819 708 89! 7 1 080 7o8(iO| 71059 7o38i|7H)39 7o4oij7ioi9 7042270998 7044 3 1 70978 7046370957 70484 j 70987 7050570916 70525,70896 7054670875 70567J70855 7o5877o834 70608,70818 70628-0-98 70649,70772 70670 70752 70(19070731 707ll'707i I CO"*, t sin. 430 (k) 59 58 57 5(5 55 54 53 52 5_i 5o 49 48 47 46 45 44 48 42 il 40 39 88 8^ 36 35 34 38 82 3£ 3o 29 28 27 26 25 24 23 22 21 ao »9 18 I- 16 i5 14 i3 12 II 10 1 4 3 3 I o 9 20 21 9' 20[ 2 I 91 20 9' 20 9:30 6 6 6 5 _5 5 4 4 4 J 3 3 3 2 2 2 I I 1 o o 19 I 3 2 3 I I I O o 9 9 I 8 8 _7 7 7 6 6 "5 5 5 4 4 4 3 3 2 a I I 1 o o 20' 21 Diff. (i, I. \ I • I I LOGARITHMS OF NUMBERS. 289 1 lOO Log, Proportioaal Farts. N. 160 Log. Proportional Parts. 1 1 2 87 3 i3o 4 1^3 5 217 6 260 7 8 9 389 1 27 2 3 54 8£ 4 £08 5 1 36 6 i63 7 £90 8 217 9 244 0000c .43 3o3 346 204 1 2 lOl oo432'43 86 129 172 2l5 257 3oo 343 385 i6r 2o683 27 54 80 107 1 34 £6£ 188 2£5 242 1 02 o(»86o|43 85 128 170 212 255 297 339 382 162 20952 26 53 80 £07 £33 £60 187 2l3 24o io3 01284*42 84 126 168 210 252 294 336 378 i63 21219 26 53 80 £o6 £33 ^59 £86 2£2 239 1 04 w5 01703 '4. 84 83 125 124 167 i65 209 206 25o 247 292 333 375 164 i65 2 £484 21748 27 27 53 53 80 79 £06 £06 1 33 £32 £59 1 58 i85 184 2£2 2£0 238 237 02ri9 288 33o 371 106 0253i'4i 81 122 1 63 2o4 245 285 326 367 166 22011 26 52 78 io4 £3o £56 i83 209 2 35 107 o2938'4t 81 122 162 2o3 243 384 324 364 167 22272 26 52 78 £04 £29 i55 181 207 233 108 03342*41 81 121 161 201 241 281 321 36 1 168 2253l 26 52 77 io3 129 £55 £8£ 206 232 109 liO 0374339 04 1 39 4o 79 79 119 119" .59 1 58 198 197 238 237 278 317 357 354 169 170 22789 23o45 25 25 5i 5i 77 76 102 102 128 £27 1 54 £53 £79 £78 205 204 23o 229 276 3i5 II 1 04532 39 78 118 1 57 T95 234 273 3l2 35i 171 233oo 25 5o 76 £OI 126 I 52 177 202 228 113 0492 2 39 77 116 1 55 .93 232 270 309 347 172 23553 25 5o 7ft £0£ 126 l5£ 176 20 £ 226 ii3 o53o8 38 77 ii5 1 53 192 23o 268 3o6 344 173 238o5 25 5o 75 100 £25 i5o r75 200 225 «i4 u5 05690 39 06070' 38 77 75 if5 ti3 1 53 i5i 191 188 228 226 266 263 3o4 3oi 342 338 174 175 24o55 25 25 5o 49 75 74 £00 125 149 £48 174 £73 199 198 324 223 24304 99 124 116 06446 37 75 112 149 187 224 261 298 335 176 24551 25 5o 74 99 123 1 48 173 197 222 117 0681937 74 III 1 48 i85 222 259 2«^ 332 177 24797 25 49 74 98 £23 £47 172 £96 22£ 118 0718837 74 no 1 47 1 84 220 257 294 33o 178 35o42 24 49 73 97 122 £46 170 I9D 219 "9 07555^36 73 109 145 182 218 254 291 327 179 25285 25 49 73 97 131 £46 170 194 2£8 120 07918,36 72 109 i45 181 217 253 289 325 180 25527 24 48 73 97 121 £45 169 £93 217 121 o8i;7935 71 107 143 179 214 25o 386 321 181 25768 24 48 72 96 120 1 44 167 '91 2£5 122 o8636,36 71 107 142 178 2l3 248 284 319 182 26007 24 48 72 95 £19 £43 167 •91 2£4 123 08991 09342 09691 35 70 io5 i4i 176 211 246 281 3i6 1 83 26245 24 48 71 95 ££9 £42 166 £90 2£3 124 125 35 35 70 io5 i4o 175 210 208 245 243 279 277 3r4 3l2 184 785 26482 23 47 47 71 71 94 94 ££8 'I7 f4£ 14I £65 £154 188 2£2 69 1 04 139 173 26717 188 2£. 126 1 00 3 7 35 69 io3 69103 1 38 172 206 241 275 309 186 26951 24 47 70 94 (I7 i4o £63 187 210 127 io38o'35 1 37 171 2o5 239 273 3o7 187 27 £84 23 47 70 93 £l6 139 162 £86 209 128 10721 34 68 102 1 36 169 203 237 271 3o4 188 27416 23 46 69 92 ii5 £38 £6£ £84 207 129 i3o 11059 11394 34 34 67 67 101 100 1 34 1 34 168 T67 202 200 235 234 268 267 3o2 3oo 189 190 27646 23 46 46 69 69 92 ii5 i£4 £38 1 37 l6£ £84 206 206 27875 £60 1 83 i3i 1 1727 33 66 99 1 33 166 199 232 265 297 191 28103 23 46 68 9^ ££4 1 37 £59 £82 2o4 13? I2057 33 66 99 l32 i65 197 23o 263 295 192 2833o 23 45 68 91 £13 £36 £58 £8£ 2o3 i33 12385 33 65 98 i3t i63 196 228 261 293 193 28556 22 45 67 90 ££2 £35 1 57 £79 202 i34 i35 12710 i3o33 33 33 65 65 98 97 i3o 129 162 195 227 259 291 289 194 195 28780 29fjo3 23 l3 45 45 67 67 90 89 ££2 1 34 £57 £56 179 £78 20 £ 200 161 193 225 257 ££2 £34 1 36 1 3354 32 64 96 127 159 191 223 255 286 196 29226 22 44 66 88 ££0 £32 1 54 177 199 1 37 13672 3? 63 95 127 1 58 190 221 253 284 197 29447 22 44 66 88 ££0 £32 i54 176 £98 1 38 13988 3i 63 94 126 1 57 188 220 25l 282 £98 29667 21 43 65 87 £09 £3l i53 £75 £96 139 i4o i43oi i46i3 32 3i 63 6^ 94 93 125 124 1 56 1 55 188 786 219 25o 281 278 £99 29885 22 22 44 43 66 65 88 £09 £3£ i53 £52 £75 173 £96 195 216 247 200 3oio3 87 £08 £3o i4i 14922 3i 61 92 123 1 54 1 84 2l5 246 276 201 3o320 2£ 43 64 86 £08 £29 £5£ £72 £94 145 15229 3o 61 91 122 l52 i83 2l3 244 274 202 3o535 22 43 65 86 £08 £29 £5o £72 193 143 15534 3o 60 91 121 i5i 181 212 242 272 2o3 3o75o 2£ 42 64 85 £o6 £20 £49 £70 £92 1 44 1 5836 3o 61 91 121 i5i 181 211 241 271 2o4 30963 2£ 43 64 85 £o6 £28 £49 £70 £91 t45 i6i37 3o 60 r. 119 149 179 209 239 269 2o5 3££75 22 43 64 85 £o6 £27 i48 170 £01 £46 16435 3o 60 119 149 178 208 238 267 206 3 £387 2£ 42 63 84 £o5 £26 14? £68 £89 i47 16732 29 59 88 118 1 47 177 206 235 265 207 3 £597 2£ 42 63 84 £05 £26 £47 £68 £88 1 48 17026 3o 59 88 117 l47 176 2o5 234 263 208 3f8o6 2£ 42 63 84 £o5 £25 1 46 £67 £88 149 i5o 17319 29 29 58 58 87 87 116 116 145 174 203 202 232 261 209 2£0 320£5 20 4i 4i 62 62 83 83 £o3 io3 £24 £45 U4 £66 £65 £86 £86 17609 145 173 23 1 260 32222 2£ i5i 17898 28 57 86 ii5 143 172 201 229 258 211 32428 2£ 4£ 62 82 £03 £24 i44 £65 £85 l52 18184 29 57 86 ii4 i43 17T 200 228 257 2£2 32634 20 4£ 6£ 8£ £02 £22 £43 £63 £84 i53 18469 29 57 85 ii4 142 170 198 227 255 2£3 32838 20 4£ 6£ 8£ £02 £22 £43 £63 £83 1 54 i55 i875i 19033 25 28 56 56 85 84 ii3 112 i4j_ i4o 169 1 68 197 796 225 224 253 252 2£4 2l5 33o4£ 33244 2£ 20 4£ 4o 6£ 60 8£ £02 £22 £2f £42 i4i 162 i67 £83 £81 81 IO£ 1 56 19312 28 56 84 112 139 167 195 223 25o 2£6 33445 20 4£ 6£ 81 I0£ £2£ i4i £6£ £8£ 1 57 19590 28 55 83 no 1 38 166 193 221 248 2£7 33646 20 4o 60 80 £00 £20 i4o 160 180 r58 19866 27 55 82 no 1 37 164 192 219 246 218 33846 20 3959 79 99 I£9 £39 1 59 £79 159 2oi4o 27 54 82 3 109 ~4~ 1 36 1 63 190 7 218 8 245 9 2£9 N, 34044 20 4oj6o 80 4 99 I£9 139 159 £79 Log. 1 1 2 5 6 Log. 1 2'3 ' 5 6' 7 8 9 1 Proportional Parts. Proportional Parts. 1 37 i''). 1r i ■i.' 'SI9il LOGARITHMS OF NUMBIBS. Ha 231 mm Jk 3)4 9aS 336 337 331 ■ii'^rU* 34343 34439 34635 «i3)0'i"!) 354 1 1 3Wo3 ., 35703 !d3S^4 3.30 36173 332 3<:>549 233 36730 234|'36923 335 37107 a36i.37?9i 237137475 a.38' 37656 2391 37840 24o3ttoii 24l|-382f>2 343i3tS382 34338561 34438739 345^38917 346 39r:i94 347' 39270 348139445 349139620 35039794 35i 39967 4oi4o 4o3ia 4o483 252 a53 254 a 57 a58 a59 a6o a6i 26a 263 a64 4o654 !4o8a4 40993 41162 4i33{» 41497, 4i6d4 4i83o 41996 42160 36542325 a664a488 367!4265r 26842813 36942975 270431 36 271 43297 372 43457 273 374 275 276 277 378 279 N. 43616 43775 38345 4J9-^-^ 44091 4424B 444o4 44560 iMg. IiOff* 44716 44B7I 45o25 179 45332 28545484 386^45637 45788 45939 28945090 290 46a4o 46889 46538 29346687 46835 39546982 29647'^ 297 4727 298 47422 299 47567 "3cx)477i2 47857 48oor 48144 48287 484 3o 48572 487»4 48855 30946996 491 36 49276 3i2 49415 3 1 3149554 314149693 375 49«3l 316^49969 3i7 5oio6 3 1 8J 50243 31950379 320j5o5i5 32ij5o65i 32 2 1 50786 323 50920 324!5k)55 32~55u88 3a6j5i332 327 (5i 4 55 328t5i587 329|5i72o 33o5F85i 51983 5af i4 52244 52375 335i525o4 336 52634 52763 52892 339 53o2o Prop»rlionaI Parts. 1 i5 15 i5 i5 i5 »6 i5 i53o i53o i5 3o 5|3o45 3o45 I i5 i5 i5 i5 i5 i5 i4 i4 i5 529 i5 14 14 1! 1 M i4 i4 i4 t4 2_ 3i 3i 3i 3o 3o 3i 3o «Jt.,/' 29 39 3o 39 29 29 1 46 46 46 46 46 '46 45 46 45 45 4 & & 45 U 44 3o44 29 28 28 44 43 43 44 44 43 43 43 61 61 61 61 6t 60 61 61 60 60 60 60 59 77 77 77 7692 7691 77 7591 '/^J 75 93 92 92 92 9" 7691 90 7590 7590 7569 89 88 74 59174 5974188 5973J,88 58;73i87 58i72 58,73 2943 2"SJ43 29' 43 28142 2»43 28(43 f4 i4 i4 i4 14 26 28 28 2« 42 42 42 42 28 4i i4 i3i t4 i3 i4 i4 l3|27 28 27 27 27 271 27 i3 27 l4J27 i3i26 i4 37 4i 4i 4i 4t 4i 47 40 40 4i 40 4o 4o i3|26, i3)26j4o i4 1 3 26 39 27:40 i4 27I40 f3i2639 26|39 26140 26:39 2639 26 39 2639 25 38 26.38 i3 i3 i3 i3 i3 i3 i3 i3 56j79.84 56i7©84 56|7o!84 55|69,83 55|6^l83 83 83 82 83 81 81 80 81 55!68 5468 54|68 54 68 54|67 54,67 5467 53,66,80 54,67!8» 53i66|8o 53,6679 53,67,80 5^6679 5I6679 52 65 78 52 65 78 7; 78 77 77 77 77 r 2 ' 3 4 5 fr 53,66 52 65 5265 52 65 5264 5164 5i64 139 [OO II toojn4 99I1V4 107 Proportional Parts, LOGARITHMS OF NUMBERS. 291 If. 34o 341 342 343 344 Lo^. 53r48 53275 534o3 53529 53656 345 53782 346 53908 347 54o33 348 54 1 58 34954283 350 54407 35 1 54531 352 54654 353 54777 354 54900 355 356 357 358 55o23 55 1 45 55267 55388 359155509 36o!5563o 36i 362 363 55751 55871 55991 364 56j_i^o 365i 56229 366 56348 367 368 369 370 371 372 56467 56585 56703 56820 56937 57054 373|57i7i 37457287 375157403 37657519 377 378 379 38o 38 1 382 383 57634 57749 57864 57978 58092 58206 58320 384| 58433 385158546 386 58659 38758771 388 58883 389 58995 390 391 392 393 394 395 396 397 398 ^ Pr«pt»rtional Parts. _!_ 73 i3 12 i3 IS 12 12 13 12 12 25|38 26,39 2538 2638 25 12 12 l3 i3 12 12 12 12 i3 12 12 12 12 12 25 t5 25 24 25 24 25 25 25 59106 59218 59329 59139 59550 59660 59770 59879 59988 60097 Log. 12 38 38 37 37 37 37 37 37 37 37 37 24 24 24 25 35 24 24 24 24 12 24 II 23 12 II 37 37 36 37 37 12 12 12 12 13 12 II 12 12 TI 23 23 36 36 36 36 36 36 36 35 35 35 2435 2435 2435 23 35 23 35 12 12 12 II II 23 33 23 23 23 23 23 23 23 23 35 34 35 35 34 35 35 34 34 34 II II II II II 12 II II II II II 10 II II II .... 33 22 23 23 22 23 22 22 22 22 5i 5i 5o 5i 5o 5 |_tt_ 6476 5o 64 63 64 63 63 5o 62 5062 5062 4962 49!62 49 5062 5o 49 62 49 4 4 49 49 48 48 48 47 48 48 48 47 47 47 62 62 67 61 61 61 61 47 47 47 46 47 61 60 60 60 59 59 58 59 58 77 76 76 76 75 75 75 75 74 74 74 74 74 73 73 73 73 73 73 72 72 71 72 71 8 72 7.1 71 71 70 71 71 70 70 5870 34 33 34 34 3^ 34 33 33 33 33 46 46 46 46 46 46 46 46 45 45 45 45 45 45 45 58 57 58 58 57 70 69 69 45 44 22 21 22 22 22 33 32 33 33 33 3 44 44 44 44 43 44 44 44 57 57 57 57 57 56 56 56 56 56 56 55 55 55 55 55 54 55 55 55 102 lOI 100 100 100 100 99 89102 89 102 88 loi 89 88 88 87 87 87 ^2 87 86 87 87 86 85 85 85 85 85 85 84 84 83 84 99 99 99 98 97 97 97 9Z 96 95 ii5 ii5 ii4 f i4 i_i3 771 113 112 112 III 83 83 82 82 82 69 69 68 68 68 68 67 67 67 67 82 82 82 8t 8c 8i' 8f 81 81 80 95 94 94 9i 94 94 94 93 93 lit lit III III III no no 109 109 109 109 108 108 107 107 107 i07 106 106 io5 106 106 io5 io5 io5 67 66 66 67 66 66 65 66 66 66 80 80 80 79 79 7' 79 78 78 93 92 92 92 91 92 92 9' 90 9^ 78 77 77 78 77 77 76 77 77 76 90 90 90 90 89 89 88 88 89 88 88 87 87 88 87 8 io4 io4 io4 io3 io3 io3 io3 io3 102 102 101 lOI lOI lOI 100 lOI 100 99 lOO 99 98 98 Jf. Log. 4oo 60206 4oi 6o3i4 60423 6o53i 4o2 4o3 4o4 6o638 4o5 160746 4o6 6o853 40760959 40861066 409 6 II 72 Proportional Parts. 41061278 4i I 61 384 4i 2 61490 4x3 61595 4i4 61700 4i5 416 4t7 4i8 6i8o5 61909 62014 62118 41962221 42062325 421 62428 42262531 423162634 42462737 425J62839 42662941 63o43 >63i44 427 428 429 63246 43o'63l47 43 1 432 433 63448 63548 63649 434, 63749 435:63849 436 6394 437 438 439 440 44 1 64o48 64i47 64246 64345 64444 442 64542 443164640 44464738 445 64836 446 64933 Pivportioual Parti. _i II II 10 10 II 10 10 II II II 447 448 449 II II 2^ 22 22 31 21 22 331 33 32 32 32 21 21 22 21 22 22 21 1021 II II 10 II 10 10 II 32 32 32 32 33 32 32 3i 32 3i 43 44 43 43 _5_|_6_ 5465 5565 54 64 5364 4315465 53 64 53 64 5464 53 64 5364 21 21 20 20 21 3i 32 3i 3i 3i 10 II 1 1 10 10 10 10 10 II 10 10 10 10 10 10 21 21 21 21 20 3i 3i 3 1 3i 3o 42 42 43 43 43 43|5364 4253 64 42 52 63 53'63 52|63 5il63 5363 5262 5262 52163 52 62 5262 5262 51I62 5i|6i 42 42 42 42 4i 4i 42 7687 76 75 75 75 74 75 74 8 87 86 86 86 85 85 86 85 98 98 96 97 75 85 7485 74 85 73 84 20 20 20 31 30 3i 3i 3o 3i 3o 30 20 20 20 20 10 10 10 10 10 3o 3o 3i 3o 3o 4i 4i 4i 4i 4i 4i 4i 40 4i 40 74 73 73 8495 96 96 95 94 84 83 94 5i!6i 5i 5i 61 61 5 1 61 5o6o I 4o 5o 60 4o5o6o 10 10 10 10 10 20 30 20 30 30 20 20 20 20 20 3o 3o 3o 3o 3o 65o3i 65 1 28 65225 65327 654 1 8 655i4 656 10 65706 45o 45 1 452 453 454 455 6580I 456165896 457 458 459 N. 65992 66087 66181 Log. 10 10 9 9 _? 10 9 9 9 9 20 20 »9 '9 !? 20 19 19 •9 »9 3o It 3o 3o 29 29 29 4i'5i 4o|5o 4o 61 60 10 10 9 9 10 T 19 20 19 19 2 29 29 29 29 28 29 29 28 28 £? 3 40 39 4o 4o 4o 40 39 40 4o 39 5o:6o 5o'6o 4959 5o6o 84 72|83 7283 73 83 83 83 82 82 81^ 82 81 81 81 81 72 72 72 72 71 71 7« 71 7» 71 70 70 94 94 93 93 94 93 93 92 92 92 92 9^ 92 91 39 39 5o 5o 60 60 5o59 4959 4959 49i59 49j59 4959 , 49 59 394858 39 48|58 38 48158 81 80 7181 7080 7080 80 70 69 70 70 79 80 7080 9' 90 9' 90 90 90 89 89 90 89 6979189 69 79,89 3948 38 48 3848 38|48 38147 38i48 39^48 38,47 3747 38148 tI"5 58 57 57 57 57 57 58 57 56 57 69 68 69 68 68 67 78I88 88 78 78 77 77 77 68 67 67 67 66 67 67 66 66 66 T 88 87 87 87 87 86 77 77 7786 76 z5 76 77 76 75 76 8 86 86 86 86 85 85 8^ 9 Proportional Parts. 292 LOGARITHMS OF NUMBERS. | N. 46o 46i 46a 463 464 465 466 467 468 469 470 47 1 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 49? 5cx> 5oi 5o2 5o3 5o4 5o5 5o6 5o7 5o8 509 5io 5ii 5l2 5i3 5i4 5i5 5i6 5i7 5i8 519 liOgr* 66276 66370 66464 66558 66652 66745 66839 66932 67025 67117 67210 67302 67394 67486 67578 67669 67761 67852 67943 68o34 68F^4 68215 683o5 68395 68485 68574 68664 68753 68842 68931 69020 69108 69197 69^)85 69I73 69461 69548 69636 69723 69810 69^97 69984 7tK)70 70157 70243 70329 704 1 5 7o5oi 7o586 70672 70757 70842 70927 71012 71096 71181 71265 71349 71433 7i5i7 D. -^ 94 94 94 93 94 9^ 93 93 92 92 92 92 91 9a 91 91 91 90 91 90 90 90 89 89 88 88 88 88 87 88 87 87 87 87 86 87 86 86 86 86 85 86 85 85 85 85 84 85 84 84 84 84 83 D. N. 520 5ai 52a 523 524 525 526 527 528 529 53o 53 1 532 533 534 535 536 537 538 539 540 54i 542 543 544 545 546 547 548 549 55o 55 1 552 553 554 555 556 557 558 559 56o 56i 56? 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 N. Log. 71600 71684 71767 7i85o 71933 72016 72099 72181 72263 72346 72428 72509 72591 72673 72754 72835 72916 72997 73078 73 159 73239 73320 73400 73480 73560 7364© 73719 73957 74o36 74fi5 74194 74273 74351 74429 745o7 74586 74663 747^1 74819 74896 749^4 75o5r 75128 752o5 75282 75358 75435 755ii 75587 75(364 75740 758 1 5 75891 75967 76042 761 18 76193 76268 Log. D. 84 83 83 83 83 83 8a 82 83 8a 81 82 8a 81 81 81 81 81 81 80 81 80 80 80 80 79 80 79 79 79 79 79 79 78 78 78 79 77 78 78 77 78 77 77 77 77 76 77 76 76 77 76 75 76 76 75 76 75 75 75 D. m 58o 58i 58a 583 584 585 586 587 588 589 590 59. 592 593 594 595 596 597 598 599 600 601 602 6o3 6o4 6o5 606 607 608 609 610 611 612 61 3 6i4 6i5 616 617 618 619 620 621 622 623 624 625 626 627 628 629 6lo 63 1 632 633 634 635 636 637 638 639 Log. 76343 76418 76492 76567 76641 76716 76700 76864 76938 7701a 77085 77159 7723a 773o5 77379 77452 77525 77597 77670 77743 77815 77887 77960 78032 78104 78176 78247 78319 78390 78462 78533 78604 78675 78746 •^88 17 78888 78958 79029 79099 79169 79>39 79309 79379 79I49 79518 79588 79657 79727 79796 79865 79934 8000 3 80072 8oi4o 80209 80277 8o346 804 1 4 80482 8o55o D. 75 74 75 74 75 74 74 74 74 73 74 73 73 74 73 73 72 73 73 72 72 73 72 72 72 71 72 71 72 71 71 71 71 71 71 70 7» 70 70 70 70 70 70 69 70 69 70 69 69 68 69 68 68 68 68 D. N. 64o 64 1 642 643 644 645 646 647 648 649 65o 65 1 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 N. Log. 80618 80686 80754 80821 80889 80956 81023 81090 811 58 81224 81291 81 358 8i425 81491 81 558 81624 81690 81757 81823 81889 81954 82020 82086 82i5i 82217 82282 82347 82413 82478 82543 82607 82672 82737 82802 82S66 82930 82995 83o59 83123 83 187 8325 1 833i5 83378 83442 835o6 83569 83632 83696 83759 83822 83885 83948 8401 1 84073 84i36 84198 84261 84323 84386 84448 Log. D. 68 68 67 68 67 67 67 68 66 67 67 67 66 67 66 66 67 66 66 65 66 66 65 66 65 65 66 65 65 64 65 65 65 64 64 65 64 64 64 64 64 63 64 64 63 63 64 63 63 63 63 63 62 63 62 63 62 63 62 62 D. N. 700 701 702 7o3 704 7o5 706 707 708 709 710 711 71a 7i3 714 7i5 716 717 718 719 720 721 722 723 724 725 726 727 728 729 73o 73 1 732 733 734 735 736 737 738 739 740 741 742 743 744 7-i5 746 747 748 749 75o 75i 752 753 754 755 756 757 758 759 PT. Log. D. 760 761 762 763 764 765 766 767 768 769 770 771 772 77.3 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 796 797 798 799 8 801 802 8o3 8o.i 8o5 806 807 808 809 810 811 812 8i3 8i4 8i5 816 817 818 819 N. Log. 88081 881 38 88195 88252 883o9 88366 88423 88480 88536 88593 88649 88705 88762 88818 88874 88930 88986 89042 8909B 89154 89209 89265 89321 89376 89432 89487 89542 89597 89653 89708 89763 89818 89873 89927 89982 90037 90091 90146 90200 90255 90 309 9o363 90417 90472 90526 9o58o 9f>634 90687 90741 90795 90849 90902 90956 91009 9/062 91116 91169 91222 91275 91328 Log. D. 57 57 57 57 57 57" 57 56 57 56 56 57 56 56 56 56 56 56 56 55 56 56 55 56 55 55 55 56 55 55 55 55 54 55 55 54 55 54 55 54 54 54 55 54 54 54 53 54 54 54 53 54 53 53 54 53 53 53 53 53 D. 845 10 84572 84634 84696 84757 84819 84880 84942 85oo3 85o65 85 126 85 187 85248 853o9 85370 8543 1 85491 85552 856i2 85673 85733 85794 85854 85914 85974 86o34 86094 861 53 86213 86273 86332 86392 8645 1 865 10 86570 86629 86688 86747 86806 86864 86923 86982 87040 87099 87157 87216 87274 87332 87390 87448 87506 S7564 87622 87679 87737 87795 87852 879x0 87967 88024 Log. 62 62 62 61 62 6l 62 61 62 61 61 61 61 61 61 60 61 60 61 60 61 60 60 60 60 60 60 59 60 59 59 59 58 59 59 58 59 58 59 58 58 58 58 58 58 58 57 58 58 57 58 57 57 57 D. Log. N. Log. LOGARITHMS OF NUMBERS 293 N. 820 821 822 823 824 825 826 827 828 829 83o 83 1 832 833 834 835 836 837 838 839 Log.D. 9i38i 91434 91487 91540 91593 91645 91698 91731 91803 91855 91908 91960 92012 92065 92117 92169 92221 92273 92324 92376 924^8 92480 92531 92583 84o 84 1 842 843 844 92634 845 846 847 848 849 85o 85i 852 853 854 85^ 856 857 858 859 860 861 862 863 864 865 866 867 868 86^ 87"^ 871 872 873 874 875 876 877 878 879 N. 92686 92737 92788 92840 92891 92942 92993 93044 93095 931 46 93197 93247 93298 93349 93399 93450 93500 93551 93601 93651 93702 93752 93802 93852 93902 93^ 94002 9fo52 9I101 9'fi5i 94201 94250 94300 94349 94399 Log. D 53 53 53 53 52 53 53 52 52 53 52 52 53 52 52 52 52 5i 52 52 5i 5i 52 5i 52 5Y 5i 52 5i 5i 5i 5i 5i 5i 5i_ 5o 5i 5i 5o 5i 5o 5r 5o 5o 5i_ 5o 5o 5o 5o 5o 5o 5o 49 5o 5o 49 5o 49 5o 49 N. 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 Log. 94448 94498 94547 94596 94645 94694 94743 94792 94841 94890 94939 94988 95o36 95o85 951 34 95182 95231 95279 95320 95376 95424 95472 95521 95569 95617 910 911 912 913 914 915 916 917 918 95665 95713 95761 95809 95856 95904 95952 95999 96047 96095 96142 96190 96237 96284 919 196332 920 96379 921 96426 922 923 924 925 926 927 928 929 96473 96520 96567 96614 96661 96708 96755 96802 i) 931 932 933 934 935 936 937 938 939 N. 9684H 96895 96942 96988 97035 97081 97128 97174 97220 97267 Log. D. ^ 49 49 49 49 49 49 49 49 ^ 49 48 49 49 48 49 48 49 48 48 48 4 4 48 48 48 48 48 47 48 48 47 48 48 ^ 48 47 47 48 47 47 47 47 47 47 47 47 47 47 46 47 47 46 47 46 47 46 46 47 46 D. N. 940 941 942 943 944 945 946 947 948 ^1 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 N. Log. D. 973 1 3 46 97359 46 974o5 46 9745 1 46 97497 46 97543 46 97589 46 97635 46 97681 46 97727 45 97772 46 97818 46 97864 45 97909 46 97955 45 98000 46 98046 45 98091 46 98137 45 98182 45 98227 45 98272 46 98318 45 98363 45 98408 45 98453 45 98498 45 98543 45 98588 44 98632 45 98677 45 9S722 45 98767 44 98811 45 98856 44 98900 45 98945 44 98989 45 99<^)34 44 99078 45 99123 44 99167 44 99211 44 99255 45 99300 44 99344 44 99388 44 99432 44 99476 44 99520 44 99564 43 99607 44 99651 44 99695 44 99739 43 99782 44 99826 44 99870 43 99913 44 99957 43 Log. D. Dtif. and Proportional Parta. D. 1 2 3 94 9 '9 28 93 92 9 9 \t 28 28 91 9 18 27 % 9 9 18 18 27 27 88 9 18 26 87 9 17 26 86 9 17 26 85 9 17 26 84 8 17 25 83 8 17 25 82 8 16 25 81 8 16 24 80 8 16 24 79 78 8 16 24 8 16 23 77 8 i5 23 76 8 i5 23 75 8 i5 23 74 7 i5 22 73 7 i5 22 72 7 14 22 71 7 i4 21 70 7 ;4 ai 69 7 i4 ai 68 7 i4 20 67 7 i3 20 66 7 7 i3 20 65 i3 20 64 6 i3 '9 63 6 i3 '9 62 6 12 61 6 12 18 60 6 12 18 59 6 12 18 58 6 12 »7 57 6 1 1 17 56 6 11 17 55 6 11 17 54 5 11 16 53 5 11 16 52 5 10 16 5j 5 10 i5 5o 5 10 i5 49 5 10 i5 48 5 10 i4 47 5 9 i4 46 5 9 14 45 5 9 14 44 4 9 i3 43 4 9 i3 D. 1 2 3 38 37 37 36 36 36 35 35 34 34 34 33 33 3^ 3^ 32 3i 3i 3o 33 3o 29 2 5^ 47 47 46 46 45 45 44 44 43 43 42 42 4i 4i 40 56 56 55 55 54 53 53 52 52 57 5o 5o 49 49 48 4o47 3947 39'46 38146 38145 3744 37 36 44 43 36|43 283542 28 35141 273441 273440 2633!4o 2633:39 " 32 38 38 37 37 263: 25132 25 3 1 24j3i_ 24|3o'36 24|3o|35 2935 2934 2834 28 33 27 32 37 3a 26 3i 20 26 3 1 20 25 3o 20 25 29 19)24 29 192428 £8,2328 i8|23 27 18,22 26 23 23 22 aa aa 21 21 17 22 4 5 6 26 7)8^ 85 84 83 82 81 80 79 6675 65 74 64 74 6473 6372 6271 62 70J . 61 7076 606977 606877 596776 58 66,75 576674 5765J73 56 6472 556371 55 62 70 54 62 69 53 6i;68 536068 52 59'67 5i 5866 5o 5865 5o 57 64 49 5663 48 55 62 48 54 61 475460 5? 59 58 57 56 46 53 46 5^ 45 5i 44 5o 43 5o 434955 4^ 48; 54 4i 47153 4 1 4652 4o465i 3945i5o 3944,50 38 4349 37 42148 3642^7 364j^'46 354045 343944 343843 33 38 42 32 37|4i^ 32 36,'4T 3i 3540 3o 34 39 71819 Diff. and Proportional Parts. 1^ r-ii 294 ANTILOGARITHMS. 1 I.. NiimD. .o4o Nam 10965 D. 25 L. .100 Nam » 12589 D. 29 .160 If am 14454 d: 34 .220 Nam 16596 16634 D. 38 .28c Nam » 19055 D. 44 .04 1 1099(1 25 .lUI 12618 29 .161 14488 33 .221 38 .281 1909c 19143 44 .042 1101 5 26 .10a 12647 3o .162 14521 34 .222 16672 39 .282 44 .043 iio4i 25 .io«: 12677 29 .i63 14555 33 .223 1671 1 38 .283 1 91 87 44 .044 11066 26 .104 12706 29 .164 14588 34 .224 16749 39 .384 19231 44 .045 1 1092 25 .io5 12735 29 .165 1462 a 33 .225 16788 i9 .285 19275 45 .046 11117 26 .106 12764 3o .166 14655 34 .226 16827 39 .286 19320 44 .047 II 143 26 .107 12794 29 .167 14689 34 •237 16866 3b .287 19364 45 .048 11169 25 .108 12823 3o .168 14733 34 .228 16904 39 .288 19409 45 .049 11194 26 .109 12853 29 .169 14757 34 .229 16943 39 .289 19454 44 .o5o 11220 26 .1 10 12882 3o .170 1 479' 34 .23o 16982 40 .290 19498 45 .o5i 11246 26 ■ 111 1 291 2 3o .171 i48a5 34 .23l 17022 39 .291 19543 45 .o52 1 127a 26 .112 12942 3o .172 14859 35 .232 17061 59 .292 19588 46 .053 11398 26 .ii3 12972 3o .173 i4»94 34 .333 17100 4o .293 19634 45 .054 Ii3a4 26 .114 i3oo2 3o .174 14928 34 .234 17140 39 .294 19679 45 .o55 ii35o 26 .ii5 i3o32 3o .175 14962 35 .235 17179 4o .295 19724 46 .o56 11376 26 ■ 116 i3o62 3o .176 ,1^ 34 .236 17219 39 .296 19770 45 .057 Il402 27 .117 1 3*192 3o .177 35 -33^ 17258 40 .297 19815 46 .o58 11429 11455 11482 26 .118 l3l23 3o .178 i5o66 35 .23}- 17298 40 .298 1986 1 46 .059 .060 37 26 .119 .120 i3i52 i3i83 3i 3o .179 .180 i5ioi i5i36 35 35 .239 .240 173 38 17378 40 40 .299 .3oo 19907 19953 46 46 .000 1000023 .001 10023 23 .061 ii5o8 27 .131 i32i3 3o .181 i5i7i 34 .241 17418 4o .3oi 19990 20045 46 .002 10046 23 .062 II 535 26 .123 1 3243 3i .182 i52o5 36 .24^ 17458 4o .3o2 46 ..oo3 1006924 1009323 .o63 ii56i 27 .123 13274 3i .i83 i524i 35 .243 1749« 4i .3o3 20091 46 .004 .064 7)65 11 588 11614 26 37 .124 .125 i33o5 13335 3o 3i .184 .185 15276 i53ii 35 35 .344 .345 17539 17579 4o 4i .3o4 .3u5 20137 30184 47 46 .oo5 lOI 16 23 .006 101 39 33 .066 1 i64i 27 .126 13366 3i .186 15346 36 .246 17620 4o .3o6 202 3c ) 47 .00711016224 .067 11668 37 .127 13397 3i .187 i538a 35 .247 17' 60 4i .3o7 20277 47 .0081018623 .068 11695 37 .128 i34a8 3i .1S8 i54i7 36 .248 17701 4i .3o8 2o324 46 .009 1020924 .069 .070 11722 11749 3_7 37 .129 .i3o 13459 13490 3i 3i .189 .190 15453 15488 35 36 .249 .aSo 17742 17783 4i 4i .309 .3io 20370 20417 47 47 .010 10233 24 .011 1025723 .071 11776 27 .i3i 13521 3i .191 15524 36 .25l 17824 4i .3ii 20464 48 .01 2 1028034 ,072 ii8o3 27 .l32 1 3552 3i .192 i556o 36 .252 17865 4i .3l2 205l2 47 .oi3 io3o4 24 .073 ii83o 28 .133 13583 3i .193 .194 .195 15596 i563i 15668 35 .253 17906 4i .3i3 20559 47 ,oi4 1032823 .074 -07.5 11 858 11885 37 37 .i34 .i35 i36i4 13646 32 37 37 36 .a54 .355 17947 17989 42 4i .3i4 .3i5 20606 20654 48 '47 .01 5 io35i 24 .0161037524 .0 1 7[ 1039924 .oi8^to4a3 24 .076 11912 28 .i36 13677 32 .196 i 5704 36 .256 i8o3o 42 .3i6 20701 48 .077 11940 27 .l37 13709 3i .197 i574o 36 .257 18072 4i .317 20749 48 .078 iiy()7 28 .138 1 3740 3a .198 15776 36 .258 i8ii3 42 .3i8 20797 48 . .019 1 0447 34 .020 10471 34 .079 .080 1 1995 i2oa3 28 37 .139 .i4o 13773 i38o4 32 32 .199 .200 i58i3 15849 1 5885 37 36 .359 .26* J i8i55 42 4^ .319 .320 20845 20893 48 48 18107 .021 io495|25 .081 i2o5o 28 .i4i 13836 32 .201 37 .261 18239 43 .331 20941 48 .022 1052024 .082 12078 28 .142 1 3868 32 .303 15922 37 .369 18281 43 .322 30989 49 .1123 1054434 .o83 12106 28 .143 13900 32 .2o3 15959 37 .263 18323 43 .333 3io38 48 .024 10568-25 .oaS 1059124 .026 1061724 .084 .o85 I2i34 12162 28 a8 .144 .145 13932 13964 32 32 .304 .305 15996 36 37 .264 .265 18365 18408 43 42 .324 .325 3io86 2 11 35 49 49 48 i6o32 .086 12190 28 .146 13996 32 .ao6! 16069 37 .7m i845o 43 .326 21184 .027 1064 1 25 .087 I2ai8 28 .147 14028 32 .207 16106 38 .26^ 18493 43 .327 21232 49 .028 10666 25 .088 12246 28 .148 i4o6o 33 .3o8 16144 37 .268 18535 43 .328 21281 49 .029 10691 24 .089 12274 29 • M9 14093 32 .309 16181 37 .269 18578 43 .329 2i33o 5o .o3o 1 07 1 5 25 .090 i23o3 28 .i5o i4i25 33 .210 16218 37 .270 1 8621 43 .33o 2i38o 49 .o3 1 10740 25 .091 i233i 28 .i5i i4i58 33 .211 16255 38 .271 18664 43 .33 1 21429 21478 49 .o3a 10765 24 .092 12359 39 .152 14191 32 .212 16293 38 .273 18707 43 .332 56 .o33 1078^ 25 .093 12388 It .i53 14223 33 .ai3 i633i 37 .373 18750 43 .333 21528 49 .03410814 25 .094 ia4i7 .154 14256 33 .2i4|i6368 38 .274 18793 43 .334 21577 5o .o35 10839 25 .095 12445 29 .155 14289 33 .215 i64o6 38 .275 18836 44 .335 21627 5o .o36 10864 25 .096 12474 :? .i56 14322 33 .216 16444 38 .276 18880 43 .336 21677 5o .03710889 25 .097 i25o3 .157 14355 33 .217 16482 38 .377 18923 44 .337 21727 5o .o38 1 0914 36 .098 1253 1 29 .i58 14388 33 .218 i652o 38 .278 18967 44 .338 21777 5o .039 10940 i5 D. .099 Ii. i256o Nam 39 D. .159 Ii. 14431 33 D. .219 i6558| 38 .279 L. 19011 44 D. .339 Ii. 21827 Nam 5i D. I.. Wam If am Ii. Mum Nam ANTILOGARITHMS. L. NumD. .340 .34 1 .342 .343 .344 .345 .346 .347 .348 .349 .35o .35i .352 .353 .354 21878 21928 21979 22029 22080 22l3l 22182 22233 22284 22336 .355 .356 .357 .358 .359 .36o .36 1 .362 .363 .364 22387 22439 22491 22542 22594 22646 22699 22751 22803 22856 22909 22961 23oi4 23067 23l2I .365 .366 .367 .368 .369 .370 .371 .372 .373 .374 23 1 74 23227 23281 23335 23388 23442 23496 2355o 236o5 23659 23714 23768 23823 23878 23933 .38o 23988 .38 1 34o44 .382 24099 .383 241 55 .384124210 5o 5i 5o 5i 5t 5i 5i 5i 52 5i 52' 52 5i 52 52 53 52 52 53 53 5^ 53 53 54 53 53 54 54 53 54 54 54 55 54 55 5'4 55 55 55 55 56 55 56 55 56 56 56 .385| 24266 .386| 24322 .387 24378! 56 .388 34434 57 .389,24491 .390' 24547 .391 [24604 .392! 24660 .393,24717 .394, 2477 4 .39524831 .39624889 .397,24946 .39825003 .399 35o6i 56 57 56 57 57 57 58 57 57 58 58 L. .400 .401 .402 .4o3 .404 .4o5 .406 .407 .408 .409 .410 .411 .412 .4i3 .414 .4i5 .416 .417 .418 .419 Nam 25119 25177 25235 25293 25351 25410 25468 25527 25586 25645 .420 .421 .422 .423 ■424 .425 .426 .427 .428 .429 263o3 26363 26424 26485 61 26546 .430 .43 1 ,432 .433 .434 .435 .436 .437 •438 .439 .440 •44 1 .442 .443 .444 .445 .446 .447 .448 .449 26607 26669 26730 26792 26853 26915 26977 27040 27102 27164 27227 27290 27353 27416 27479 .450 .45 1 .452 .453 .454 27542 27606 27669 27733 2 7797 I7861 27925 27990 28054 28119 28I84 28249 283 1 4 28379 28445 285 10 28576 28642 28708 28774 Nam 61 62 61 62 61 62 6i 63 62 62 63 63 63 63 63 63 64 63 64 64 64 64 65 64 65 65 65 65 65 66 65 66 66 66 66 66 D. Nam 28840 28907 28973 29040 29107 29174 29242 29309 29376 29444 29512 29580 29648 29717 2 9785 29854 29923 29992 3oo6i .479 3oi3o .480 302OO .481 30269 .482 3o339 .483 3o4o9 .484 3o479 .485 .486 .487 .488 .489 .490 .491 .492 .493 .494 .495 .496 •497 .498 •499 3o549 30620 30690 30761 3o832 30903 30974 3 1 046 3iii7 31189 31261 3 1 333 3i4o5 3 1 477 3i55o .5oo .5oi .5o2 31623 31696 31769 .5o3j3i842 .5o4|3i9i5 .5o5|3i989 .5o6j32o63 .5o7 32i37 .5o8 32211 .50932285 32359 32434 32509 32584 .5io .5ii .5l2 .5i3 .5i4 | 3265 9 .51532734 .5i6 32810 .51732885 .51832961 .5i9|33o37 L. Nam 1 m 296 ffiin. .52o!33ii3 .521; .52a' 33 180 .52433420 .52533497 .526J33574 .5a7j3365i .5a8!33729 .529|333o6 5:30' 33884 .53 1 j 33963 .533J34041 .53334119 .534:34«9« .535 34277 .536 34356 .537 34435 .538,3^514 .539 34594 .54" 34674 .541 [34754 .542 '34834 .54334914 .544,34y9^ .545 35075 .546 35 1 56 .54735a37 .548353i8 .54935400 .55t) 35481 .55 1 35563 .552:35645 .55335727 .55435810 .555 35d9'> .556^35975 .557I36058 .558 .559 .56 1 .562 .563 36i4i 36224 363t^ 36392 36475 36559 36644 .565 36738 .5661368 1 3 .56736898 .568' 36983 .569J 37068 3^4 .570 .571 .572 .573 _^74 .575 .576 .577 .578 .579 L. 3723( 37325 3741 r 37497 A NTI LOGARITHMS. 37584 37670 37757 37844 37931 Nnm FniiMirttiMial Pmrta. li 2'i 3 I 4 5 ti U 1 J^i *Jr 8 i6:a3 8i5'23 7 i5'23 7i5|23 7 15I23 7 15123 8 16 23 7 8 3i 3i 3i 3o 3o 1 5 23 i6!?4 i6:a4 7J15J23 8 i5|23 8 16 24 8 16.24 8 16 a3 8 1624 8 1624 8 162,4 ^H— 8 i6|24 8!i6|24 8|i6 24 8 i6ja4 8ji6|a4 8 8 8 8 i6ja4 i6ia4 16 a4 17 8t6 1 17 17 17 17 25 24 35 25 25 a5 16 a4 8|i7 8 17 81 16 8ji7 917 8 8 17 aS i6 9i»7 9! '7 8U7 Q 17 8 17 a5 25 a5 25 a 5 17 17 9ji2 817 917 9^7 9I17 18 17 18 18 18 18 2 a5 26 26 aS 26 a5 a5 25 a6 25 a6 a6 26 26 26 26 a6 26 27 3<) 3i 3t 3i 3-i 32 3 1 3i 3a 3i_ 3i 3i 32 3a 3a 3a 32 32 32 32 38 46 3946 38 38 38 46 46 46 46 46 47 46 38 38 .39 39 39,47 3947 3947 4o47 3947 39 47 39*47 4o48 4o48 4o48 40j48 4o,48 4o'48 4o'48 4o'48 4i 4i 4i 4i 4i 33 3a 33 33 32 33 33 33 33|4i 33|4i 33.42 33|4 1 3341 4t ;4i 4i 33 34 33 33 34 34 34 34 34 34 34 34 42 42 42 4i 42 43 42 49 49 49 49 49 49 49 49 5o 49 5o 5o 5o 5o 5o 43 42 42 4a 43 34 34 34 35 35 34 35 35 35 4 5o 5o 5i 5i 5o 5i 5r 5i 5 1 5i_ 5i 5a 4a 43 43 5a ' 52 52 43 43 43 44 44 44 44 6 5a 5a 5a 53 53 _ 54:6169 546269 54^6169 53 61 69 53161169 54'6i 69 546269 546a 54'6a 55f63 5563 5462 55'63 55|63|7i 55,63 71 70 70 71, 71" 70 70 55 63 5563 5663 5664 56|64 56:64 5664 5664 71 71 71 7a 72 7a 72 7a 72 56,64172 57165 73 57;65 73 57,65|73 5765174 5765 5866 5766 58 66 58 57 58 58 58 58 59 58 58 59 59 66 66 66 66 66 67 67 67 67 68 68 5967 5968 59;68 Sol 68 59I68 60J68 ^68 59 60 69 6069 60 5l 60 61 61 61 6a 69 69 69 70 70 70 7C1 B 73- 74 74 74 74 74 75 75 75 75 75 75 75 76 76 76 76 76 76 77 77 77 77 77 78 78 78 79 79 79 79 9 Proportional Parts. Ij* .58o .58 1 .582 .583 Ifnnl 38019 38107 36194 38a82 .58438371 .585 38459 .586 38548 .587! 38637 .588 38726 .5j9!388i5 .590 38905 .591 .592 .593 .594 38994 39084 39174 39264 .595:39355 .596139446 .597 39537 .598I39628 .59939719 .6003961 1 .601 39902 .60239994 .6r»3 40087 .6<,>44oi79 .6(>5j4o27a .6o(v4o365 .6o7|4o458 .6o8 4o55i .609 .610 .611 .61a .61 3 4o644 40738 4o832 40926 41020 .6i44ni5 .61 5 .616 .617 .618 .619 .6ao .6a I .62 a .623 .624 4iaio 4i3o5 4i4oo 41495 41591 41687 41783 41879 41976 42073 .625[42i70 .626 42267 .617 .628 .629' 43364 42462 !4256o .63o .631 .632 .633 .634 .635 .636 .637 .638 .639 42658 42756 42855 42954 43o53 ]j* 43 1 52 43a5i 43351 4345 1 4355 r H'mn Proportional Parts. I I 2 i 9 9 9 9 9 8 9 9, 10 i I 10 -5 91 9; 91 9l 9 9 10 _? 9 9 o o o 26 a6 27 27 26 27 a6 26 27 27 26 27 27 27 28 27 27 27 27 28 27 928 928 827 9I28 8 8 8 9 9 28 9128 9 9 9 ao 9 9 20 9 9 9 20 20 19 28 27 28 28 28 ao 20 ao '9 19 20 ao ao ao olao 28 a a a8 a8 29 39 !9 29 29 29 29 21 29 ^' 29 29 29 3o 3o 3o 3o 3o 35 35 36 36 3^ 36 35 35 35 36 4453 435a 4453 4553 4453 44 53 44 53 44 53 44 53 4554 35 44 53 36'45 54 36'45 54 36|45 54 37146 55 36|45 54 36 45 54 36 45 54 36|45 55 37 1 46 55 36 37 3- 37 37 37 37 37 37 38 38 46 55 46 56 47 56 46 55 46 56 46 55 46 55 46 56 47 56 47,57 47,56 47|56 47:57 48l57 47,57 47^57 47157 48|57 58 58 38 38 38 38 38 38 38 38 38 39I48 48 48 3948 39 58 58 4d58 58 3^48 38|48 58 3948 3949 39:49 39|49 3949 39,49 4o5o 3949 39*49 39|49 40 5o 4o5o 4o|5o 40|5o 4o5o 41 5 58 58 59 59 59 59 59 59 59 59 60 60 60 60 60 61 61 62 6a 6a 62 62 62 62 63 62 63 63 63 64 70 70 71 71 70 7» 7« 71 71 72 79 79 80 80 z? 80 80 80 80 ?! 80 81 81 81 8a 8a 8a 82 82 83 73 8a 7483 7483 647483 6574|83 65 74183 657483 65174184 65 66 71 72 72 72 _73 63 73 6372 63 73 64 64 64 65 65 73 73 66 66 66 67 66 66 66 67 67 5z 67 67 68 68 68 68 68 69 68 68 69 69 69 69 70 70 70 70 70 7 75'84 75185 75 85 75 85 76 85 76 76 76 76 76 77 77 77 77 78 77 77 77 78 78 78 78 86 85 85 85 86 86 86 86 87 87 87 87 87 88 88 88 88 7988 79^89 79|89 79^89 79|8^ 89 79 80 80 80 80 _ 90 90 90 9i 9 Proportional Part*. 1 ANTILOGARITHMS. 297 1 L. .64o .64 « .642 .643 .644 .645 .646 .647 .648 .649 .65o .65 1 .652 .653 .654 .655 .656 .657 .658 .659 .660 .661 .662 .663 .664 Nam Proportional Parts. L. .700 .701 .70a .703 .704 .705 .706 .707 .708 .709 .710 .711 .71a .713 .714 .715 .716 .717 .718 .719 .720 .721 .72a .723 .724 .725 .726 .727 .728 .729 .730 .731 .732 .733 .734 .735 ■736 .737 •738 .739 .740 .741 .742 .743 .744 •745 -746 .747 .748 .749 .750 .751 .752 .753 .754 .755 .756 ■757 .758 .759 Nam 50119 5o234 5o35o 5o466 5o582 50699 5o8i6 50933 5io5o 5ii68 51286 5i4o4 5i523 5 1642 5 1 761 5 1 880 52090 52119 52240 5236o 52481 52602 52723 52845 52966 Proportional Parts. 1 1 10 10 10 10 II 10 to 10 10 10 II I I 10 10 10 10 10 II 10 10 10 II 10 10 10 11 10 10 10 II 10 11 II II 11 II II 10 II 11 II II II II II II II I I II ir II II II 12 II II 12 II 12 12 f 2 20 20 20 20 21 20 20 20 21 20 21 21 20 21 20 20 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 22 22 21 22 22 22 21 aa aa aa aa aa aa 22 23 aa aa aa 23 22 aa 23 23 a3 23 23 23 23 2 3 3o 3o 3o 3i 3i 3i 3o 3i 3i 3o 37 3i 3i 3i 3i 3i 3i 32 3i 3i 3i 32 3a 3i 32 3a 3a 3a 32 32 32 33 33 32 33 33 33 3a 33 33 33 33 33 33 33 34 33 33 34 34 34 34 34 34 34 34 35 34 35 35 3 4 4o 4i 4o 4i 4i 4i 4i 4i 4i 4i 42 42 41 4i 4i 4i 41 42 42 42 42 42 42 42 42 43 42 42 43 43 43 44 44 43 44 44 44 43 44 44 44 45 44 44 44 45 45 45 45 45 45 45 45 46 46 46 46 46 46 47 5 5o 5i 5i 5i 5i 5i 5i 5i 5i 5i 5a 52 5i 52 52 52 52 52 52 52 52 53 53 53 53 53 53 53 53 54 53 54 55 54 55 55 55 54 55 55 55 56 55 55 56 56 56 56 56 57 56 56 57 57 57 57 57 57 58 58 6 60 6[ 61 61 61 61 61 61 62 61 62 62 62 62 62 62 62 63 63 63 63 64 63 63 64 64 64 64 64 64 64 65 65 65 66 66 66 65 66 66 66 67 66 66 67 67 67 67 67 68 68 68 68 69 69 70 7 70 71 71 71 72 71 71 71 72 72 72 73 72 73 72 72 73 73 73 73 74 74 74 74 74 75 74 74 75 75 75 76 76 76 76 76 77 76 77 77 77 78 77 78 78 78 78 78 78 z? 79 79 Z9 80 80 8 80 81 81 81 8-j. 87 81 82 82 82 83 83 82 83 83 9 90 91 91 91 92 92 92 92 92 92 93 93 93 93 93 i II la la la la la la la 12 (2 12 12 12 12 12 12 12 12 12 12 12 12 la la i3 i3 la i3 i3 12 i3 12 12 i3 i3 i3 i3 12 la 12 i3 12 12 i3 la i3 12 i3 i3 i3 i3 i3 i3 i3 14 i3 i4 i3 i3 i3 2 3 23 34 23 35 a3 35 a3 35 a4 35 23 35 23 35 2435 24 36 24 36 24 36 24 36 2435 23 35 2435 a4 36 a4 36 a4 36 a4 36 a4 36 2436 24 36 24 36 a4 36 2537 2537 2437 2537 2537 2437 2537 2537 a5 37 25 38 25 38 a5 38 a5 38 2537 a5 37 25 38 25 38 25 38 25 38 25 38 25 38 2639 a5 38 2639 a6 38 a6 39 4 46 47 46 47 47 47 47 47 48 47 47 48 47 47 47 48 48 48 48 48 48 48 49 48 49 49 t 5o 49 5o 5o 5o 5o 5o 5o 5o 5o 5o 5o 5i 5i 5i 5i 5i 52 5i 5i 5i 5i 52 52 52 52 53 53 53 53 52 53 5 6 5769 5870 5870 5870 5970 58:70 58;70 5971 5971 5971 597' 6c)j7i 59'7i 59171 59171 7 8 9 io4 io4 io5 io5 io5 io5 io5 106 106 106 43652 43752 43853 43954 44o55 44 « 57 44^59 4436 1 44463 44566 44668 44771 44875 44978 45082 45 1 86 45290 45394 45499 456o4 45709 458r4 45920 46026 461 32 81 81 81 8a 82 9? 93 93 93 94 82 82 82 83 83 83 83 83 83 83 84 83 85 84 85 84 85 85 85 86 86 86 87 87 86 94 94 94 95 95 95 9? 95 9? 95 107 107 107 107 107 83 83 84 84 84 84 85 84 85 85 85 85 85 85 86 86 87 87 87 87 94 94 94 94 95 96 97 9Z 98 98 97 98 6072 6071 6173 6072 60J72 6oi72 6072 6173 6073 6174 6274 6173 6274 6a 74 6174 6274 6274 6375 63 75 63 75 63 75 6376 63 75 63 75 63 75 6376 6376 6376 64 77 6376 64 77 64 77 64 77 64 77 64 77 6578 6578 6578 6578 6679 66i79 6679 6679 6679 6679 96 95 92 96 97 97 97 97 97 98 108 107 109 108 109 109 109 109 109 no .665 46238 -666 46345 .667 46452 .668 46559 .669' 46666 53o88 53aii 53333 53456 5358o 9? 98 99 99 98 III no in III III na na na ii3 n3 ii3 ii3 n3 ii3 n3 114 ii4 ii4 n5 ii5 116 n5 116 116 116 n7 117 117 n7 118 118 no no 118 119 .670 .671 .672 .673 .674 .675 .676 .677 .678 .679 .680 .681 .682 .683 .684 .685 .686 .687 .688 .689 .690 .691 .692 .693 .694 .695 .696 •697 .698 .699 L. 46774 46881 46989 47098 47206 4731 5 47424 47534 47643 47753 47863 47973 48o84 48195 483o6 53703 53827 53951 54075 54200 87 87 87 88 88 68 88 88 88 88 99 99 100 100 100 100 101 100 100 lOI 87 88 87 88 88 88 89 !9 !9 89 98 99 99 99 100 100 100 100 54325 54450 54576 54702 54828 54954 55o8i 55208 55335 55463 !9 89 89 89 90 89 90 90 ?e 9' 9' 91 9' 92 92 92 92 92 92 lOI 101 loa loa 10a io3 10a io3 io3 kD3 1 04 io4 io4 io4 io5 io5 106 T05 io5 io5 48417 48529 4864 T 48753 48865 48978 49091 49204 49317 49431 49545 49659 49774 49888 5ooo3 90 !9 89 90 90 101 lOI lOI lOI loa 55590 55719 55847 55976 56io5 90 90 91 91 91 101 102 10a io3 io3 56234 56364 56494 56624 56754 26 39 2639 26139 2639 a7 4o a6 4o 2740 a6|39 a6 39 26:39 80 80 80 81 81 9» 92 91 92 93 io3 io3 io3 io4 io4 56885 57016 57148 57280 57412 4 r> ' 6 ' 7 ' 8 9 1 Nam I 2 3 I 4 ' 5 ' 6 ' 7 8 ' 9 1 Nnm Proportional Parts. 1 Proportional Parts. 1 38 w • ' fill I 298 ANTILOOARITHMS. .760 .761 .76a .763 .764 .765 .766 .767 .768 .769 Num 57544 57677 5781c 57943 56076 PfO]iortioiial Parta. _l_ 2 3 i3 .77® .771 .773 .773 .774, 56210 56345 564'79 566t4 58749 56584 '591)20 391 *JO 59293 59429 775 59566 .776 .777 -77" 59704 59841 59979 ,7796«ii7 -780160 a 56 -781 Go3^ .782}fo5: .78360674 .784M«4 .785J60954 .78661094 .787 ,788 61235 61376 .789J61518 .79«3 61660 .791 61802 .799161944 .793|62o87 .79462230 .79562373 .796625-17 .79762661 .79862806 .79916295 1 .6(X> .801 .80a 637,41 63387 ,8a3i63533 8o4i6368o .8oS6i38a6 .8c6 63973 .807 64 1 2 1 .808164269 .8r.9'644n .8 to 64565 .811 64714 .812 .8i3 .8f4 .8i5 .816 .8r7 .818 64863 65oi3 65i63 653 65464 656i5 65766 .819165917 ?filiil 2640 2640 f3ja64o 4i I i4 14 4i i3ja64o 40 4g- 4i 1 3 i3 i3 4274 3 27 1 4 1 4 I I i4 i4 I i4 1 1 a6 3)274 28 4(28 428 i4ad i4 t4 i4 r4 i4 r4 i5 1 5 i5' i4 i4 r4 i5 i5 1 5 14 i5 1 5 i5 i5 i5 »7 37 27 27 27 27 27 4i 4i r 4i 28,41 28 1438 »4 38 l4 2« 1428 1428 1.428 1428 1 41 28 2S 28 39 29 29 41 I 42 42 42 42 42 4a 42 42 4^ 42 42 43 42 42 42 45 43 43 »944 2943 29 29 29 43 43 2943 2944 2944 2944 29^ 3o 44 3o45 2944 2944 3o44 3o 3o i5 i5 i5 i5 i5 i5 1 5 r5 !5 i6t3i 45 45 3o45 3o 3o 3o 3o 3o 45 45 45 45 45 3o45 46 _ 5_| & 53J6680 53 66 79 53 5367 54 fi?' 54 S3 54 54 54 54' 5^ 54 56 66 67 67 67 68 55168 556983' 55|68 69 82 83 55169183 55 55 56 5569 -69 56 56 5670 56 56 56 71 5G|7i 5771 5671 56|7 57 57 57 57 58 58 58 56 56> 56 58 56 5' 51 59 59 60 60 60 60 60 60 61 4 66 68 66 69I8 70 70 70 7084 I 71 71 71 7a 7a 72 73 7a 88 59J7489 59 74 89 5974 80 8o- 81 81 80. 81 8f 8^ 82 8a 8a 82 83 83 83 84 84 84 8S 85 8S 85 72 73 73 73188 73 8S 85 86 86 86 87 87 87 87 87 87 88^ 88 29 29 89 74 74 75J90 7590 90 90 90 90 75 75 75 6075J90 60 75 6076 76 90 97 ?! 6 8 93|i<)6 106 93 93 94 94 94 _?5 95 9S 96 95 96 90 9S 97 97 _?7 97 97 98 92 98 98 99| 99 99 99 99 99 00 00 00 o-i 01 01 01 Of 02 02 02 o3 02 o3 o4 o3 o3 o4 o5 o5 o5 o5 o5 o5 o5 o5 06 07 106 107 i«)8 (08 107 108 108 108 109 109 i&^ 109 no fio 10 10 II II ii> ri 12 12 r2 12 i3^ r3 i3 r3 r3 i4 i4 i4 i5 i5 16 16 16 16 l6 17 '7 17 f6 18 18 18 !9 19 20 20 20 20 20 ao ai ai 22 8 119 119 120 120 lai 121 121 121 121 12a ia3 123 123 123 »24 124 123 t24 ia5 125 125 i*a5 126 125 126 126 127 137 ta8 127 127 ia8 ra9 129 129 i3o i3o i3o i3o i3o i3i i3i i3i 1 3a 1 3a 733 1 33 1 33 i33 1 34 i34 r35 r35 »35 ^5 i36 1 35 i36 r36 i37 9 Pmportional I^rti. L. .820 .821 .822 66069 66222 66374 8a3|665a7 .824 67143 672 .82566834 .82666988 .827 .828 .829J67453 l3o .83i .832 .833 .834 67608 67764 6792 68077 68234 83516839 .836 .837 .838 .839 69024 .84'! .842 .843 .S44 84569984 .846 .847 .848 .849 .85o .85i .852 .853 .854 .855 .856 .857 .856 ^59 .860 .861 .862 .863 ^64 .865 .866 .867 .866 .869 .87T .872 .873 .874 .875 .876 .878 .879 Lf Nnni 66681 68549 68707 68865 69183 69343 69502 69663 69823 70146 7o3b7 70469 7o632 70795 70958 7rr2i 71285 7i45o 71614 71770 71945 72 m 72_277 72444 7261 1 72778 72946 73ri4 73282 73451 7362r 73790 73961 .870 74 • 3 1 743o2 74473 74645 74817 74989 75162 877 75336 75509 75683 Piopoftional Porta. 6 6 16 6 6 1-6 6 6 6 1-6 Nmn U2^ a 4 ft 6 3i 5j3o 3i 6 6 3i 53o 3i 3i 3i 5^3i 3i 3i 3i 32 I 3i 63 632 6 3i 3i 33 32 63 2 32 32 32 3q 32 32 33 6)33 7 7 33 34 34 34 34 34 34 34 34 34 35 34 34 46 45 46 46^ 46- 47 47 46- 46 ^ 47 47 47 47 47 47 47 47 48 46 48 47 46 46- 46 4 4 33149 33)49' 32 32 32 33 33 33 33 33 33 49 48 49 49 5o 49 5^ 5o 5a 33 5o 5o 5o 5o 5o 3J5o 5o 5r 5!. 5 1. 5i 5^ 5* 5i 52 5i 35 52 35 52 34 52 35,5? 35 53 63i79 6480 65^81 65 81 65 81 6&83 07 06 07 08 07 08 09 08 i«o8 09 09 09 o o o 6 6 6 6 7 6 7 7 7 8 9 t 9 _? 20 20 20 20 21 21 22 21 22 22 22 22 23 23 23 24 24 24 24 24 25 25 26 25 26 26 26 27 27 27 28 27 029 28 ^? 29 ?9 3^ 3o 3o 3o 3i 3i 3a 3ii 32 33 33 33 33 33 33 34 34 35 36 36 35 36 36 37^ 37 38 38 38 9 137 1 37 1 38 *38 i38 139 139 139 139 i4o i4i i4i i4i i4i !ii 142 142 §42 143 |43 i44 143 145 i44 i45 i45 145 i46 1 46 i46 i46 147 1 48 i48 i48 149 149 149 149 i5o i5o i5o i5j i5i l52 I 52 1 53 l52 i53' i53 i54 1 54 155 i55 __i^55 39156 - i56 1 56 39 38 39 4o 8 ■57 1 57' Proportional Parts. ANTILOGARITHMS. 299 L. .88u .881 .882 .883 .884 Nmm 75858 76033 76208 76384 76560 .885 .886 .887 76736 76913 77090 ,88877268 .889' 77446 .89077625 .891177804 .89277983 .89378163 .8947834 3 .895 78524 Proportional Parts. 12 3 4 5 .896 .897 .898 .899 78705 7888b 79068 79250 ,9(x>!79433 .901 .902 .903 79616 79799 79983 .904 80168 .905 8o353 .90680538 .907180724 .90880910 .90981096 .91081283 .9ii|8i47o .912I81658 .91381846 .91482035 .915 82324 .91682414 .91782604 .91882794 .919829B5 .92083176 .931 83368 .922 8356o -923 83753 .924 83946 .925 84i4o .926 84333 .93784538 .93884723 .93984918 .930851 14 .931 853 10 .93285507 .933 85704 .9348590 .935 86099 .936 86298 .93786497 -938 86696 :9i9 L. 86896 Nam 35 35 35 35 35 35 35 36 36 36 35 35 36 36 36 54 8 8 8 8 8 8 6 8 8 8 8 36 836 836 836 8137 8|36 8137 9|37 9;37 837 8' 37 8 37 8 37 8 37 937 938 938 9'38 9|3^ 9l38 9'38 9 38 938 38 52 52 53 52 5^ 53 53 54 53 5J 53 53 54 54 30 9 30 39 39 39 9; 39 939 38 20J39 939 9 30 9 20 9 20 20 20 20 20 20 20 39 39 39 39 4o 4o 4o 4o 4o 40 54 54 55 54 55 55 55 56 56 55 55 55 55 55 56 56 57 57 57 57 5^ 57 57 57 57 58 58 58 58 58 58 59 58 58 ^ 59 59 59 59 60 60 59 60 60 60 12 3 4 5 70 70 70 70 70 7f 7* 71 71 71 7' 7» 72 72 11 72 72 73 73 73 73 73 74 74 74 74 74 74 74 75 76 75 76 76 76 76 76 77 77 77 77 77 77 77 77 78 78 78 z? 78 79 78 79 80 80 79 79 80 80 87 87 88 88 ^8 "89 89 89 89 89 '89 89 90 90 .9^ 90 90 9' 9^ 11 91 92 95 93 ?1 91 93 95 93 94 94 94 94 9r 95 96 96 96 97 9^ 98 97 97 98 92 98 98 99 99 100 99 99 100 100 6 ■^' o5 o5 o5 06 06 06 07 07 07 07 07 08 08 08 (^ 08 09 09 o 7 8 8 8 9 9 9 9 ao 20 7 8 9 122 i4o 1 57 122 i4o 157 123 i4o i58 123 i4o i58 123 i4i i58 124 142 159 124 '42 160 125 142 i6o 125 143 160 £25 143 161 125 i43 161" ia5 1 43 161 126 i44 162 126 i44 162 126 144 162 126 144 162 127 145 i63 127 145 164 127 1 46 164 128 r46 i65 128 140 i65 128 U7 i65 129 1 48 166 129 i48 166 129 1 48 166 129 148 166 i3o 1 48 167 i3o i48 167 i3o 149 167 i3i i5o 168 i3i i5o 169 l32 i5i 169 l32 i5i 170 i33 r5i 170 l32 i5i 170 i33 l52 171 i33 l52 171 i33 l52 171 1 34 1 53 172 1 34 i53 172 i35 1 54 173 i35 1 54 173 i35 i54 174 i35 1 54 174 i35 i55 174 i35 i55 174 l37 1 56 175 1 36 i56 175 1 36 1 56 175 i37 1 57 176 1 37 1 57 176 1 38 1 57 177 1 38 1 57 177 i38 1 58 178 1 39 159 179 139 159 179 139 159 179 139 159 179 i4o 160 180 i4o 160 180 ___ 8 9 Proportional Parts. Im. If am 94087096 941 187297 942 87498 .94387700 944 87902 95089125 951I89331 95 2 '89536 .953189743 954 89950 945 88 1 o5 946'883ij8 947 1885 1 2 948:88716 949 88920 955|90i57 95690365 957190573 958 j 9078 2 95919099 1 960 961 962 91201 9i4ii 91622 96391833 96493045 965192257 966,9247a 967,93683 96892897 969 931 1 1 970 971 972 973 93325 93541 93756 93972 97494189 975194406 976 94634 977 94842 978 95060 9799528( 980 981 983 95499 95719 95940 983 96161 984 96383 985 986 987 988 989 990 991 993 993 994 995 996 997 998 999 L. 96605 96838 9705 1 97375 97499 97724 9794? 98175 98401 98628 ^855 99083 99312 99541 99770 Nam Proportional Parts. 1 , ij 3 4 5 406 20 4O 20 4o at|4i 20 2o'4i 2ol4« 2o4i 20 4o 20 4o 2lJ4l ~47 4i 42 4i 4i 42 42 42 42 42 2 20 2 2 20 2 2 2 2 2 2 2 2 2 2 42 42 42 43 42 43 42 43 42 _43 2243 2143 2243 2244 22i43 22I44 2243 2244 2244 22|44 2244 22 22 44 44 22'45 22 44 2245 2244 2245 22 22 61 60 6l ( 61 67 61 61 61 62 62 61 62 62 62 62 62 63 63 63 63 63 63 64 64 64 64 64 64 64 65 64 65 65 65 65 65 65 66 65 66 67 66 67 67 67 67 67 67 67 45 45 22|45 23:45 22I45 23 45 23,45 2346 69 23'4669 224568 22I4568 23|46 69 T' 2' 3 67 68 68 68 68 8f 8i 81 Si ?i 81 81 81 8f 82 8a 82 83 83 83 83 83 84 84 84 84 85 84 85 85 85 85 85 85 86 86 86 87 87 87 87 87 87 88 87 88 89 88 29 89 89 29 89 89 90 90 90 90 91 ?1 91 9» 91 9' 92 4 01 01 01 01 02 oi 02 02 02 o3 o3 02 o4 o3 o3 04 o4 o5 o5 o5 o5 06 06 06 06 06 06 07 07 07 08 07 08 09 08 09 09 09 10 09 o 21 21 21 ai 22 22 22 aa 22 23 23 23 24 24 24 25 25 25 26 26 26 27 27 27 27 28 28 28 28 29 29 It 3o 3o 3i 3i 3i 32 3i 32 33 33 33 33 34 34 34 34 35 35 35 36 36 36 37 37 37 37 38 4i 41 42 4a 42 42 42 42 43 44 44 44 45 45 45 46 46 46 46 47 47 48 48 48 48 49 49 49 t 5i 5o 5i 52 52 52 52 53 54 53 54 55 55 55 55 56 56 57 57 57 57 58 58 59 59 60 60 60 60 61 161 61 62 [62 ^ 62 i63 [63 t63 164 i64 [64 [66 1 65 [66 166 [67 167 t67 [68 l68 .69 L69 [70 [70 70 70 7* [71 21 73 72 173 74 2i '74 74 '75 76 "76 77 '77 '78 78 78 78 79 '79 180 80 [81 81 82 [82 83 83 83 83 84 [81 [81 [82 [82 i83 [83 i83 [83 [84 [^ 185 [85 [86 186 [86 187 87 88 88 [89 90 90 91 L?l [92 [92 [92 [92 [93 '94 94 .95 95 ^ 96 96 [97 [98 '97 98 99 99 200 300 200 201 201 202 202 202 203 2o3 204 2o5 2o5 306 206 206 207 Proportional Parts. lika. « s » h I r nun LOGAIITHMIC SINES, TANGENTS, &C. If 3o(> 36o 4ao 48o 54o tkx> 660 720 780 840 900 960 1030 1080 ii4o iac)o 1260 1 320 i38o i44o o I 3 4 5 6: 7 8 9 0° 179 sin. q-n tati. 4.6.S.J 57 57 inf. neg 6.46373 6.76476J57 6.94085 57 7.0657957 "5^ li 12 i4 i5 16 n 18 19 i5o<> i56() 1620 1680 :I74o 1800 i860 1920 1980 9o4o 2IOt) 3160 2220 9380 a34o 24tK) s46o 9S20 258o 2640 20 21 22 23 24 25 26 27 38 29 3o 3 1 32 33 34 7.16270 7-24188 7.30882 7.36682 7.4 r 797 57 57 57 ;57 7.46173,57 7.5a5i2 57 7.54291 p7 7.57767157 7.60985 57 7.63982,5' 7..66784J57 7,694175-' 7.71900157 i'^;57 7-74^ 57 inf. nog 6.46373 6.76476 6.94085 7.06579 7.16270 7.2418B 7.30882 7.36682 7-4 1 79^ 7.76475J57 7.7859 V 57 7.8061 5157158 7.82545157 7.84393157 37 57 57 58 5d 58 58 58 58 58 58 58 58 58 53 -jSif^i 58; 7.66785 7-69418 7.7 1 91 >o 7.74248 cot. q+n 15.314 inf. pos. 43 (3.53627 i3. 23524 13.0591 5 12.93421 7-46 J /i 7-5o5i2 7.54291 7-57767 7.60986 58 5H 5j Hd 'j8 27(X> 2760 2820 2880 2940 3nf)o 3o6o 3 1 20 3i8o 3240 ■?3oo 336o 3420 3480 3540 36oo 35 36 37 38 39 4o 4f 42 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 59 60 7.86i67 7.95508157 7.96887I57 7.98223157 7,97520 57 8.00779J57 8.02002 57 8.03192 57 8.o415o57 8.0547857 8.o657« 57 8.0765o|56 8.08696156 8.09718 56 8.io-Ti^ 56 7.76476 7.78595 7.80615 7.8^546 7-84394 58 58 581"^ .8676^ 58| 7.87871 '>8 7.89510 7.9 1 oS 7.9261 43 4^ 43 4i 42 42 42 42 2.8373o 12.75812 12.69118 I2.633i8 i2.582o3;4' 12.53627 1 3.49488 12.45709 12.42233 12.39014 cowc. 43 inT pas. 43 13.53627 43 13.23524 43 13.0591 5 43 12.93421 »«c. 10.0 i2.36t)ib 1 3.332 1 5 i2.3o582 13.28100 12.25752 12.23524 f2.2l4o5 12.19385 12.17454 2.i56o6 58 5,9 59 59 59 59 8..1169356 8.12647 56 8.i358i|56 8.14495 56 8.i53gt 56 3^6268 56 8. 171 28 8. 1 797 1 8.1879S 8- 1 96 to 8.20407 8.21 189 8.21958 8.227!3 8.23456155 8.241 86'55 56 56 56 56 56 56 55 55 ««-«. 59 59 7.94086 7.95510 7.96889 7.98225 59 7.99523 8.00781 8.02004 8.o3i94 59J 8.04353 59 8.o5j8i 5q 8.0658! 6f> 8.07653 60 8.08700 60! 8.09722 61 >| 8. 1 0720 60 42 42 42 42 4! 42 43 42 .■i2 4' 4". 4. 42 42 42 4> 12 i3833 12.1212942 12.10490 12.08911 12.07387 12.05914 12.0449^: I2.03l II 12.01775 12.00478 60 60 60 60 67 6f 61 61 6_r 67 61 61 62 62 62 S.iirtgfi 8.1 965 1 8.13535 8.i45oo 8.i53q5 8 i6;-3 8.I7I33 8.1-TQ76 8.18804 8.19616 8.2o4f3 8.21195 8.21964 8.22720 8.23462 8.24192 1 1 .992 1 9 1 1 .9799^") 1 1 .96806 1 1 .9564? 11.94519 11.93419 11.92347 ii.9i3<)() fi.90278{4o 1 1 .89280 4o 43 i2.8373o 43 12.75812 43 12.691 18 43i2.633i8 43 i2.582o3 WKK> 0000 0000 0000 0000 COS. 9.9 0O(X) 0000 OfXX) (XKX) OtXK) 43 12.53627 43 12.40488 43 12.45709 43 12.42233 43 12.39015 ooot> cxxx> 0000 0000 0000 43 1 2.3601 8 43i2.332i6 43|i2.3o583 43 12.28100 43 12.25-752 ten ten ten ten ten ten ten ten ten ten 0000 0000 0(X)1 0001 owA ten ten ten ten ten 0001 0001 43J I 3.23525 43 12.21406 43 i2.i9385!oi 43 12.174550001 43 1 3. 1 5607 42 42 4i 4i 4i 4i 4i 4i 4] 4i 41 4i 4! 4i 4>'» 4< 43 12.13834 43 l3.l?l3o 43|i2.To49f ~ 12.08912 12.07388 43 43 43 43 43 43 43 43 43 43 43 43 4.6'^*> q-D cot. 'i.883o4 4o 1 1 .87349 4o 1 1.8641 5 4o ii.855(>o4o ii.846o5i4o ii.83727 39 11.82867 39 ii.82024|39 11.8119639 II .8038 4 39 1 1.79587 1 39 11.78805,39 1 .78036 39 38 43 44 44 0002 12.05916 12.0449' i2.o3i i3 12.017- 12.00480 0002 CKX12 1 1. 9922 1 1 1 .97998 1 1 .96808 1 1 .95650 1 1.9452 11.93422 11. 92350 1 1.91304 44111.90282 44 11.89283 fiTasJo^ 11.87353 ten ten 9999 9999 99)9 9999 9999 9999 9999 ofK>iJ9999 0001I9999 ocx>il9999 {X)Ol 9999 9998 0001 9998 9998 0002 j 9998 0002 9998 0002 9998 9998 9998 0003 9997 >oo3 9997 (XX>2 0002I ( 000 3 ooo3 9997 9997 4i 44 44 44 ocK)3,9997 of)o3 9997 000 3 9997 000^9996 0004 9996 ,00049996 n.86fi9ooo4|9996 1 1 .855o5 0004 9996 44^ 1 1 8 4609 000.4 19996 44 11.83732 1 1 .77280 11.76538 38 1 1.75808 33 tan. 44 4i 44 44 44 44 45 45 45 45 15.3M »©<» q + n 11.82872 o3i 40572 4o25i 39932 39616 39302 38991 3;s68i 3«374 38069 37766 37465 37166 36.S69 36574 36282 35991 35702 354i5 35i3o 34846 sec. 10. U 9974 9973 9973 9972 9972 >o3 1 ;^o32 ;)o32 (M)33 cos. 9.9 9971 997' 9970 9970 9969 9969 9968 9968 1 9967 tio33|9967 oo33 9967 )o34 oo34 .x)35 00 36 )o36 oo37 oo37 oo38 oo38 9966 9966 9965 9964 9964 9963 9963 9962 9962 34565 34285 34007 3373 i 33457 31784 32913 32644 32376 32 1 10 3 1846 3 1 583 3l322 31062 3o8o4 3o547 30292 3oo38 29786 29535 cot. 29286 29038 28792 28547 283o3 28060 00399961 003919961 0040,99601 00401996(1 CK)4l 004 1 0042 0043 0044 99D9 9959 9958 9958 9957 9956 0044 9956 0045I9955 0045J9955 004619954 0046:9954 0047 9953 00489952 0048 9952 0049 9951 0049,9951 0050 9950 9949 9949 9948 9948 oo5i oo5i oo52 oo52 oo53!9947 005419946 oo54J9946 oo55i9945 oo56'9944 60 59 58 57 56 55 54 53 52 5^ 49 48 47 46 45 44 43 42 4l 4o 39 38 37 36 35 34 33 32 iL 3^ 29 28 27 26 75 24 23 22 31 20 '9 18 '7 16 [5 r4 i3 [2 I 9 8 00 56: 9944 0057,9943 0058,9942 00589942 0059994 92° -.•kt"^. ., I' ll ll'l I wst LOGARITHMIC SINES, TANGENTS, 6cC. II ta i3 i4 •17 i5 53S3 6|5575 5795 li]6oi5 190134 645i 6667 6883 7097 73 10 7522 7733 7943 8i5i a9|836o ait •21 •J 7 23 ■24 2D 36 38 3o 3 1 32 33 34 35 36 37 38 4i 43 45 46 47 48 49 5i 52 53 54 55 56 57 58 60 30 IW ■in. 1880 ai5»o 2359 2597 2834 3069 33o5 3535 3767 3997 4*i'j6 4454 4680 4906 5i3o li 1 * ■ co«ec 11^ 4-0O 3.98 3-97 3.95 3-92 3.90 3.87 3.87 3*83 3.82 3.80 3.77 3.77 3.73 3.70 3.67 3.67 3.65 3.62 8120 7880 7641 74o3 7166 6931 t)607 6465 6233 6cM>3 5774 5546 5320 5094 4870 4647 44a5 8568 8774 8979 9183 9386 9588 9789 9990 189 39|o388 4o o585 0782 43I0978 '" 1 173 1 367 i56o 1752 1944 if 34 2324 25i3 2701 2888 3075 3261 3446 363o 38 1 3 3996 4177 4358 33 B 3t 2903 2478 2267 2o57 1 848 i64o 3.60 3.6( 3.57 3.55 3.52 3.5o 3.48 3.47 3.47 3.43 3.42 3 4" 3.38 3.37 3.35 3.35 3. 32 3.35 3.28 3.28 3:25!^" 42o5|5867 6087 63o6 3549I65 3766 1432 1226 1021 0817 06 1 4 o4i5 OJI I ♦010 9811 9619 941 5 9218 d.m 3.23 3.22 3.20 3.20 3.17 3.17 3.i5 3.i3 3.12 3.12 3.10 3.08 3.07 3.o5 3.35 3.02 3.02 8827 8633 844o 8248 7866 7676 71 12 6925 6739 6554 6370 6187 6004 ll.l* tan. 940 2181 2420 2659 2896 3 1 3 J 3366 36oo 3832 4o63 429 i iSii 4748 4974 5199 54^3 5645 d. 1' 4-02 3.98 3.98 3.95 3.93 3.90 3.00 3.87 3.85 3.82 cut. 8060 7819 7S80 7341 7104 6868 6634 64oo 6168 5937 571^ 5479 5253 5<>26 4801 4577 4355 4i33 3913 3694 25 6742 6958 7173 73S7 /iXKj 7811 8022 8231 844 1 3473 3258 3o42 2827 2613 8649 8855 9061 9266 9470 9673 9875 ♦076 0277 0476 0674 0872 1068 1264 r459 1 653 1846 8o56 2o38 323o 2420 7487 2610 7299 2799 2987 3i75 336 3547 3732 3916 4ioo 5833 4383 5643 4464 8.8* 24tK) 21 1978 1768 i5f- i35i 1145 3.82 3.78 3.77 3.75 3.73 3.70 3.70 3.6 3.65 3.65 3.62 3.60 3.58 -3. J / 3.55 3.5a 3.52 3.5o 3.48 3.47 3.43 3.43 3.42 3.40 3.38 3.37 3.35 3 35 3.32 3.3o 3.3o 3.37 3.27 3.25 3.23 3.22 3.20 3.30 3.17 3«7 ., 7390 ,;,7aoi ^•'^70!3 3'*3|68a5 3.10 0077 890078 0079 oo8t» 9 0080 0734 o53<> o327 ♦ 125 99?4 9723 9524 9326 893 8736 854 1 8347 8i54 7962 758o 3.10 3.08 3.07 3.07 3.o3 3.o3 6639 oof . 4.1" tee. eot d. 1 " tmn. comc ■in. i em 6453 6268 6084 5900 5718 5536 o n.i* nee. 10.U 0060 o*)6o 0061 K>62 )o62 (Xj63 074 0075 0076 0077 0081 0082 09390083 008 3 0084 oo85 0086 0087 0087 0088 0089 0090 0091 x)9i 0092 0093 0094 0095 77700096 0096 0097 0098 0099 0100 OIOI 0102 0102 oio3 oio4 oio5 106 CM. 9.9 9940 9940 9930 9938 9938 9937 9936 9936 9935 9934 9934 9933 9932 9932 9931 9930 9929 9920 9928 9927 99^ 9926 9925 9924 9923 9923 9922 9921 9920 99^0 9919 9918 99'7 9917 9916 9915 9914 99'3 9913 9912 99" 9910 9909 9909 9908 9907 9906 9905 9904 9904 9903 9902 9901 9900 9899 10.0 9898 9898 9897 9896 9895 9894 9.9 40 1750 ■in. d. r ' ooiec tan. as* 4358 4539 4718 4897 5075 5a52 5420 56o5 5780 5955 6128 63oi 6474 6645 6816 6987 71.56 7325 7494 7601 7829 IZ 8326 8490 8654 8817 8980 9142 93o4 9464 9625 9784 9943 ♦ 102 0260 o4i7 o574 0730 o885 io4o 1195 1349 l5o2 i655 1807 1959 aiio 2261 a4ii 256i 2710 2859 3oo7 3i54 33oi 3448 3594 3740 3885 4o3o 8.9* 02 98 98 97 95 95 93 92 9: 88 88 88 85 85 85 82 82 82 78 80 77 77 75 73 73 72 72 70 70 67 68 65 65 65 63 62 62 fx 58 58 58 57 55 55 53 53 52 52 5o 5o 48 48 47 45 45 45 43 43 42 42 11. 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I I T I I I I I r I .20 .18 .18 .20 .18 .18 .18 •17 .18 •17 .18 •17 .17 •17 •17 •>7 •17' .i5 •17 .i5 .i5 .i5 .i5 .15 .i5 .i5 .i3 .i5 .13 .i3 .i3 ,r3 ,i3 ,i3 .13 6o3l 5961 589f> 5819 5747 9.t> 5676 56©5 5534 5464 5393 53^ 5252 5i82 5i 12 5 04 2 4972 49^)2 4832 4763 4693 4632 47©6 4779 4853 4936 5o©© 5073 5r46 5219 5293 5365 5437 55 1© 5583 5655 4634 5727 5799 5871 5943 601 5 6086 4555 6i58 44866229 4417 4348 4279 421© 4i42 4073 4oo5 63oi 6372 3937 3869 38© 1 3733 3665 6443 65i4 65S5 6655 6726 .12 .i3 .12 .12 .12 .12 .12 .12 .12 .1© .12 .10 .12 .1© .10 .10 .10 .©8 .10 .1© .08 .©8 .1© .08 .©8 3597 35.3© 3463 3395 3328 3^67 3194 3i27 3o6tT 2993 6797 6867 6937 7©o8 7078 7148 7218 7288 7357 7427 7496 7566 7635 77©4 7773 2927 286© 2794 2727 2661 7842 7911 7980 8©49 8117 2595 2529 2463 2398 2332 cos. 100° d.1" 2266 22© I 2X36 2070 20©5 1940 10.7 sec. 8186 8254 8323 8391 8459 852^ 8595 8662 873© 8798 8865 .23 .23 .23 .22 ,23 .22 .22 .22 .22 .22 .20 .22 .20 .22 ,20 .2© .20 .20 .20 ,18 .20 .18 .20! .18 li'.O 10.7 5368 5394 5231 5i47 5o74 5o©() ©676 9324 ©6f)5 9335 0667 9333 ©6699331 ©672 9328 06749326 4937 4854 4781 4708 4635 4563 449© 44iH 4345 18 18 18 4273 4201 4129 .4o5- 39S5 39T1 [3843 i377i 3699 3628 ©678 9322 ©681 9319 ©6839317 068593 1 5 ©6S7 93 1 3 069© 93©' ©693 9308 ©694 93©6 0696 93o4 ©699 93© I 07©! 9299 0703 9297 )7(.6 9294 07©8 9293 355- 3486 34 1 5 ^73345 18 18: .17 .18 17 17 17 17 i5 17 i5 3274 32o3 '^3i33 3o63 2992 12923 2852 2782 2712 2643 2573 071© 929© ©712 9288 0715 9285 ©717 9283 ©7 1 9 928 1 ©722 9278 07349276 0726 9274 07299271 0731 9369 cot. •17 .i5 .i5 .i5 .i5 ,i5 .i5 .i5 i3 i5 i3 i5 i3 ,i3 i3 i3 12 1 3 i3 12 25©4 2434 2365 2296 2227 ©7339267 ©736 9264 07389262 ©74© 926© ©743 9257 ©745 9255 ©748,9252 075© 925© 0752 9248 ©755 9245 0757|9243 07599241 0762I9238 2i58 5089 2© 2© 1951 1 883 0769 923 ©77119229 ©77419226 ©776J9224 i8i4 1746 1677 i6©9 i54i 1473 i4©5 1 338 127© T2©3 Il35 ©764 :)767 9236 9233 ©779 ©781 9221 9219 ©783:9217 ©786I9214 0788 9212 0791 '9209 d- 10.7 d.l" tan. ©793,9207 0796J9204 ©798|92©2 ©8©©|92©© ©8©3 919 9195 o8o5 lao cosec sin. 9.9 790 6© 59 58 57 56 55 54 53 52 5^ 5© 49 48 47 46 45 44 43 43 Ai_ 4© 39 38 3 36 35 34 33 33 3i 3o 29 28 27 26 25 24 23 22 21 20 »9 18 17 16 i5 14 1 3 12 II 10 9 8 7 6 5 4 3 2 1 o LOGAlIfHMIC SllflS, TAHGENTS, «ScC. o 1 a 3 4 5 6 y s 1 1(1 II 1 3 1 4 •4)11. 8060 '%J a* ' 95 I 4 2093 j.»l 94<'"v '■'"7 1040 1 .(>' I .r'r •85t") col. lai" 9535 9326 0391 045- * '-''4 1 97 1 6 97791 98. 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'»,> 1 .1 ' 1.0 ~ "' '} i I <' >; *-**7 8896 1.07 —I— 070 ■' .-.-I 1 .02 ' 4,- o-t:)"*! o2 3:> C«26j '*^*^ o8B"i 09 4"^ 5 1 52 53 54 55 56 5 59 6c I tX)8 1068' 1 1 19 1189 I 25<» i3io io 1 490 i5'i9 I 6< Hy i6fk 172! I78f 9.:i* C H 33 1 0-9^:18.372 '•*^" 82 1:2 W,.G« 4.1' «•■(•, ! -> 3 i l3>H r4?i ^ •■ -9 i553 1 61 5 ir'i79 1743 8|oi)hj2 fo'7i>7 ' •*■ *^l87o3 ' •'-'"18630 '•^*^8575 1 .07 18511 ^8384 '•*:'q832i '-*'28257 i.o5' )865j9i35 »8(58J9i32 1*8- {9127 9124 9122 9119 91 17 9" 4 911 2 9109 0876 0S78 :»883 0888 0891 089 i 9106 >89()f9i 04 089919101 09*:) ! 9099 (K V' ■ I/- ■/■' 09091909 1 091 2 [9088 0914 9083 18" i93j| I99'!i 2059 _|8i94c - 8i3o!c .If J 8(X)4 0928 2122 2 1 85 2248 23 I 1 2 3-7T i-o5 i.o5 I .o5 _, , f'7 7941 7815 '"'52 24i(:» 2498 256 1 2623 2685 3747 9.3* '•;*',7689 '•' . 7627 7564 -5r>2 'Out. 1 .o3 -J 731 5 I .OJ — 2*12 0930 0933 0936 0938 0941 0944 9080 9078 9075 9072 9i'>7o d.I" ]0 6* tan. 0949 0952 0954 0957 0960 9ot)7 9t>64 9062 9059 9o56 9054 905 1 9048 10.11 9043 9040 9.9 'rtneri Kin. 101< 78= 2378 .^'|C}. 7272 7214 7 1 56 7098 0.97) _ -..!_: ho4< •'2 .^5 3i33|"-97i6HG7 3i9oP*-9^68i<> ^ ' 0.97 2747 2810 2933 2995 .3o57 3119 3 180 3242 33o3 cl. r*i e»t. 3426 3487 3548 '¥Si 19 i.o5lZ=^ i.o3 1 .02 : i.o3; I .o3 I •OjL'Zii 1.02'^^' i.o3 1.02 j7'9< !7>20 17067 17005 MC. K) 1 .o3 3248 , 6.752 3420! ^% ■~ • 0.95 "•9?|6r>95 "•9'i)63a 658o 3 •95j- 0.95 5?, 3670J 3799 3853 3913 3974; 4o34| 4095 4 1 55 4afi5l 6820 6758 6|S97 l.« 6452 I .02 vo ,^^|633o 1.0? Ul.O 096 0962 (i965 •9()8 o 0970 «/)4o /)38 9035 9032 9o3< 0973 '976 0978 1981 y^4 I) 1987 6( 9<;)27 9024 9022 9019 9016 9<* 1 3 J .OJ 6269 6147 f)o87 4276 i6992 9o«,)8 : 1995 900 5 oy9{'j 92 1000 9oo<; 1003,8997 1006 8994 i«K)9'899! 1011 8989 >8 'i9f| ', 3647 "'9- 5724 |-;;^;5664 -. — , UK), : 64(1645761^ -J 1 5424 640914635' '^■9°: 5365 -f. 6353 3704 °-9>6296 iL^ o-0*»r...?_ 40vj 4755 .'■•'"53o5 --**•*"' 5245 376r'"-«^6239i48;4i*'-9«5irt(> 38it>, .,()i82 3874r"^cf6T26 3931 1 "•9^|6o()9 3287r-9^1fk.i3 /'/4 0.0 J - - 4 1 '. " ) 4 1 56 4212 43a4 438(> -. 59«M) '*-9,%844 ^-9^788 ^•93.56-fi 0.93 48741' .5.26 4933, **-S 5t.6- 4949 4889 101418986 101718983 i02ol898<.)i 1022 8978 10258975 1028 8972 1031J8969 io33 896- 10368964 1039:8961 1042 8958 104518955 1 04718953 io5wI895o 1053,8947 5 57 56 55 54 53 Sa 5^ 5o 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 4992 5o5 1 5i 1 1 5i 0.98 0.96 5288^*9?:47«2 4547 4602 4658 47 1 3 4769 4824 4879 4934 4989 5<'>44 5099 i54 52od «*92 U.3 rm. 102 5347I ^-9^ 4653 5f()5' *"97 45q5 _.i 0.98;— --1- „ , ^64' ^'4536 "•9'^i5564 5523"-9»,4477 ^•9^55r.9 558i|*^-97l44,9 *'-93 5453 564o: ""-^'^sd ::^3,^p^^o;^^ ^ (5342 5757; „ 14243 105689^4 1059I894 1 06 2 j 8938 1 064 1 8936 106718933 1070,8930 1073 8927 1076,8924 10798921 1081189/9 ^-9^5287 0.93 5^3^ 0.92 0^2 0.92 58i5| "-9714185 5873 ^'•9714,27 5176 59311 *'-97 4069 5i 21 5989 ^*'97 4r)ii .[ ■^ {.■ O.Q7 j5o66;6o4'' 3953 *'-92 5oii6io5 ''9^3895 *''9^;4956 6i63 ''9' 3337 '*-9^ 4901 6221; ^-973779 '■^•93484662791 "■97373; io84j89f6 10878913 ro9o'89io 1 09318907 (0968904 1099:8901 110218898 11048896 n 07 1 8893 11108890 d. I' 479_ »ec. 63361 "•9"' '91 3664 cot d.r" tan. 11138887 m 6^8884 (1 198881 1 22 887B 11258875 ri28;887a 35 34 33 32 3o 2 2 27 26 2 5 24 23 2 2 21 20 19 18 '7 16 75 4 i3 12 II lol 9 8 7 61 9.9 eoncr!! sin. Tfo LOGARTIHMIC SINES, T A N (J E N T S , &C. 307 o 1 2 3 4 5 6 ~i 8 .9 10 1 1 12 1 3 14 15 16 17 18 !9 20 21 2 2 23 2 5 13<^ 106° 8in. ■'9X 5209 5263 53 1 8 5373 5427 548 1 5536 559.. 5644 5698 5752 5H()6 586(. 59 r 4 508 6022 6075 6129 6182 62 36 26 27 28 29 3o 3t 32 33 34 3"5 36 37 38 ^9 4o 4 1 4> 13 44 45 46 47 48 ^? 5o 5( 5.> 53 6289 63 4v 6395 64I9 65o2 6555 6608 6660 6713 6766 6819 6871 6924 6976 7028 d. 1 " Cll!«27 "•9'^ 4573 0.90 :_'_ 45 10 ^ 4464 "•9" 44 ro '^•9''4356 0.90 /•/ ^ 43o2 0.90 - '4M^ ''■^4f94 ''•9"4i4o "■9<>;4..86 0.90 0.9 I ^'•g387. ^■^^^ 38,8 ;;i8^ 0.88'^^" tun. d. r o. col. 3(564 97|:j()u6 *' 97 3548 0.95 o ^ "•9'»i343.i 0-97;' '' 0.951 .^7'^ ,^ V 3]i9 0.88 3658 3()o5 6336 63^4 641)2 65o9 6566 6624 6681 6738 6795 ;j-9^:32(.^. fi«_5^ ":9(3M8 ""'^1 o.Q5l='977 -9^2163' aec. co> lO.U ir2« I l3l 'J.'J 8872 8.S69 ii33188()7 1 1 3(); 8864 «r39'886i 14° 105° sin. d. l'" '.».3* cosec 10.ti* 7080 7137 '1 o .93 0.95 "■S«.5i 719 7250' - » 73o6; ^9? 7363 "-95 7476 7532 7588 3498 3445 3392 io 708 r 7i33 7t85 7237 7289 0.88 0.88 0.87^3 0.88 328.7 0.88 •>., T / 0.88^ o 3i8i "•8830'- «-^7 3o24 0:88^ 73^1 7393 7445 7497 7549 7600 765 ) 7703 7755 7806 7858 7909 7960 8011 5i'8o62 o 2919 ''■t" 2867 "•^7 28,5 08^ ^^^3 ''•°^27ll 0.87-4.- ««7 2555 "•87 ,-K.3 0.85 r^i" „ 2.100 ^•«^2 348 %^ 2297 "•87 3^45 Q.87 --?f „_ 2142 "oil ™" 7644 7700 7756 7812 7868 7934 7980 2807 2750 2(>94 2637 „ r 258l 0.93 0.93 0.93 ,2t>24 ;i2 n42|885» 114518855 ii48|8852 I i5i'8849 1 1 54J8846 1 1 5718843 1 1608840 1163 8837 1 166 1169 24(2 11938807 23561 2 3oO 8o35 8091 8f47 8302 8257 '. o.g3 83i3i 8368 °-92 8423 °-9^ 8479 ""'^^ 8534 ^^-92 — — 0.92 8589 o ^ 8644I ^ 8699 8754 0.93 „|2244 «-9^|2i88 «-93,,33 0.93 0.93 0.92 0.93 0.93 0.92 0.92 2076 2020 1172 1 175 1178 ii8r ti84 1187 1 190 8834 883 1 8828 8825 8822 8819 8816 »3Mo.83 8469 ^^ 85i9 ''"i i48i 857^':«^U43o 1 63 2 1 582 i53i 881 3 8810 1 196 99 8808 8863 8918 8972 9027 9082 9i36i 9190! 92 0.92 0.92 0.90 0.92 0.92 0.90 0.92 0.92 0.90 0.90 ''■°! 2040I9245, °-92 -« ,9fi9 9'99^-9;; 5^),8m3 _. 188794071 ^ 56 8i6(!««5,836 9i6ih-90 57 82,5|«•8^785 95l5i«•9" 58 8266 «-85 1 734^569' ^■9« 1965 1909 1853 1798 1743 168-' 1 63 2 1577 l52I 1 466 1 356 i3o 1246 1192 11 37 1082 1028 0973 0918 1 202 1 20 5 1208 larr 1214 8804 880 r 8620 8670 8721 8771 8821 1 887?; 8921 8971 9021 9^71 9121 9170 9220 9270 93^9 9369 9418 9467 9517 0.83 0.85 0.83 0.83 i38o t33o 1279 1229 o.83jLiZ9 o.83"^9 0.83 0.83 0.83 0.83 0.82 0.83: 1079 1029 0979 0929 0879 08 3o o:83 ^-^^^ 0730 068 T 8798 8795 8792 8789 8786 8783 8780 1217 1320 1223 8777 :226 1229 1232 1235 1238 124f 1244 8774 8771 1247 I250 1254 1257 1260 59 I60 8317 8368 C03. 0.85 d. l" t683 9623 i632 um; aec. 9677 9.-3 cot. 90 0.90 d.l" 0864 0810 0755 0701 0647 0593 0539 o485 043 1 0377 o3i3 ToJT tan. 1263 1266 1269 1372 1275 8768 8765 8762 8759 8756 9615 9664 97r3 9762 9811 9860 9909 9958 ♦006 oo55! 8753 8750 8746 8743 8740 8737 8734 8731 8728 8735 8722 8719 8715 8712 8709 1294J8706 129718703 13008700 i3o3 8697 j 13068694 i3io 8690 oio3 Ol52 0200 0249 0297 o346 0394 0442 0490 o538 1278 T28r 1285 1288 1291 o586 0634 0682 0730 0778 0825 0873 0921 0968 1016 0.83 0.83 0.82 0.83 I 0.83 I 0.82 ' 0.82 0.83 0.82 0.82 0.82 0.82 0.82 0.83 0.80 0.83 o.8oi 0.82 0.80 0.8a 0.80 0.82 0.80 0.80 0.80 0.8c 0.80 o63i o582 o533 o483 tan. 9.3*" 9677 973 1 9785 9838 9892 9945 9999 ♦052 0106 0159 0212 0266 o3i9 0372 0425 d, l"\ cot. 1 0.6* 0.90!"^^^ 0.88 ^^^i^ 0162 0478 o53i o584 o636 0689 0742 0795 0847 0900 0434J0952 0.90 0.88 0.90 0.88 0.90 0.88 0.88 0.90 0.88 0.88 0.88 0.88 0.88 0.88 0.87 0.88 0.88 0.88 0.87 0108 sec. 10.0 1 3 10 COD.. 9.9 869( oo5^ ♦001 9948 9894 984 9788 9734 9681 9628 9575 9522 9469 9416 9364 9311 9258 9205 i3f3 868 1 3 168684 1 3 19 8681 13228678 8675 ! 1 325, 1 329:867 i332!8668 i335,86(>5 1338 8662 1 34 1 8659 1344 8656 1 34818652 1 35 1 8649 13548646 60 59 58 57 56 o385 o336 0287 0238 0189 0140 0091 ♦042 9994 19945 989- 9848 9800 975 1 9703 I oo5 io57 1109 1161 I3l4 1266 i3i8 1370 1422 1474 9^5 9606 9558 95 1 o 9462 1526 1578 1629 168 1 1733 Q. — 0.83 0.87 0.88 0.87 0.8^ 0.87 0.88 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.85 0.87 0.87 9100 9048 8995 8943 8891 8839 8786 1784, i836 1887 T939 1990 8734 8682 863o 8578 8526 i357|8643 1 360864 i364!8636 1367 8633 i37o863o T373fe 1377,8623 1 380:8620 1 383 '86 IT 1 38686 1 4 o 55 54 53 52 5i Xi 49 48 47 46 45 44 43 42 4i i39o'86 13938607 1 39618604 13998(10 i4o3 859- o.8o94!4po4r 9366 2093 0.8 0.85 0.87 0.85 0.85 0.87 10.1) cosoc 9.9 Sttl. 103° 70° io63 nil ii58 I205 1252 i3oo ^•^i93.8 0.80 ' 0.78,?!!^ o 9175 0.80 ■' ' o 9' 27 0.80?^ o 9' »7Q 0.78^ o o 9032 .8984 0.78, Q 8937 0.80 ^ ^ 8474 8423 8371 83i9 8267 8216 8164 8t i3 8061 8010 1 406:8594 1409:8591 i4i2|8588 t4i6 8584 i4i9i858t 9.4* COS. 0.78 0.78 0.78 0.80 d.l" 8889 8842 8795 8748 8700 10.,^* 2l44! 2195 2246 2297 2348 2399 245o 25oi 79'-)9 0.85 ir 1422J8578 14268574 43918571 143218568 i435|85t>5 4o 39 38 37 361 35 34 33 32 3i 3o 29 28 27 26 1439 856i • 442 1 445 1449 1452 8558 8555 855r 8548 2552 2603 2653 2704 2755 2805 9A* i455|8545 i459|854i '-'•".'!785()|i462 8538 '^•S^h^^'ui I465H535 ll ' j 1469 853 1 o!85i JV'^ •4-^"" - ^ ' „ or 76D? _ c,c 7601 «?'755o *^-8^i74oo a85|Zl99 2!) 24 23 22 21 ao 19 18 17 16 0.83^97 «-8^7296 14-918521 i48285i8 i48585i5 sec. ' cot. 0.85 0.83 7245 719^ 10.5* 148985 14928508 1495 85o5 1499850 1 5o2 8498 i5o6 lO.O d. l"l tan. cosoc 8494 9.9 sm. 104° 75° i5 14 i3 12 1 1 10 9 8 7 _6 "5 4 3 2 I o I lii 'fill LOGARITHMIC SINES, TIM GENTS, &C. 1 3 A 6 7 8 9 I o I I IS 1 3 1 4 1 5 1 6 '"7 id f9 au :»2 2.3 34 3 5 76 27 ■28 .!9 3o 3i 33 36 3- 38 39 IS'*: I04'< 1 3«^ 1394 1 44 1 ■0 I e«oc 87ck;i 2|8')'t9 3 iSSi? 535I 4 1 84(10 1675,1 t)|832i ,.-,, v'q3 1, 86 1 1 9! Hi 39 i9<:»8ji(>j8o9'> i9^,|'n!Ro46 lii.n. I li O I 2 28t>5 2856 i2ai6 ?9-)-| 2 7.>43 3oo7j 3J6993 3()5- 3f.,S' 4|%i3 S 1 6X97 J'ioh 3iSS K ■2t;x:ji I I '^91.^9 204-' I 7 -4/Vl *).l 209 214. -•ffi ■„,# "i^ HI i •■ / , ,. ,. 2370 17 7630 a4ifi «8b^84 t>79J (>742 34<">Ht.ro6593 3458116S43 1''iiv»8|i i(649-/ 355tiji3l644:^' 31x17 r 509 t5i6 i em. 1519' o 8481 sJtL d. tetettc tan. tfii 11 J 3 i4|f>343 v3 ;_;.,_, ^ :Jj, 38(»f) itj6i9f 3:")")"( i-rlfii^f** 3905 J8kx'i9i 395.f •o'"»^»-f6 4(:■' -.19,3 ^'■irljai j7447 2599'pi|74o 2644 aaj7356 >9» a3,-'3ro 2735I24 "">65 , -^. . 378ii24 7ai9 439- 26 28ar>i25 7i74 4446a 4a99J25 5701 4348255552 84 5o 8447 8443 8440 8436 8433 I 18429 84a6 84:12 84 r 84 4428 447» 45 1 6 4559 C<>3 So 59 •eo. 10.0 10535464131135871767 ^ I a8 291 7j 27 j 708 3* 4o 4 1 42 43 4^ 45 46 4" 48 49 )'> 5i 5? 51 54 1 55 ■29jj()947 3o9813u,Vt9o:j li •f3j3t.>|685-' 3231 3'* "' '' ' •'"-^[■i9^ii : v) '■)(,> 1 9^ :,i495|"j8'5'i(,) 4544 29 5^56 4592 29 5io8 3i) 5159 I 53 10 4738 32 5365 4---' '>^""il ''■■■ ...li'ilfxf i4'5,i6 '? ID 4080 I I 4733J 1 1 4776 1 2 4819 1 3 486? « 4] 5 1 38 49<'>5 145095 4948 i5 5<)5a 4992 16 5o(>8 5o35li6 6224 6i7 63 1 9 4oi3 3965 3918 3870 3823 3776 3729 756 l7f)o 363 ill 763 8409 84o5 84o2 8391 8388 8384 2 838 1 2 |83"''7 1 588 I 8412 5o77 17 5 1 20 18 5 1 63 IliJP 41C \ :F% J 5249 20 5297 21 6741 »6 67881 1 7 6835 3540 3493 3446 3399 3352 1 648 1 65 1 1 655 5377 54r9 516:> 21 1719 1723 1727 1730 o J8270 1734 08 266 1738 08 '-^6 2 1741 1 o [8 2 '19 1 7.1 ■> 1 1 .S,' 1 ) 825 1 8248 8244 824* 8237 8233 8229 8226 8222 8218 8215 1752 2 |8356 2 2 J8349 3 18345 f538 5547[25i 44.53 5589^26 44 1 1 563a 2614368 5674 5716 «)i 14368 ^{326 4284 9! 3072 20l3025 21 29-'9 aa ^919 . 22(9886 ) 2 3i 2840 24 2793 25 2747 26 370I -346[26|a654 7392 27 458i 7a53 299^ 808 1811 i8i5 1819 1823 7438 28 4242 3'>t)~ 3iia '} . ■ ■ V. 'K>a9 10-S iy. iSa6 i(>!i'v 56 5^ 58 5q 61 > 18i'3j42!678-J55M!i 3857 43 "» 1 43, 5 5 59 ir.iiiii 390j!43 "o-)9 " " " 3,9.^' f..f;A.v=;; 9.1 9*1(1 d. Me, 3 8320 ^ 83i7 3 83 1 3 3 83o9 3 83o6 83o2 8299 8295 "09 3 8291 r^i2, 3,8a88 575f)i i9iaSo 1716! 4 8284 cot, ( il. i t i;t. Irujcc d. nin 28 2914199 5843 3o 4 1 57 5885j3i 4ii5 59-J7|3i 4f>73 5969 321403 1 fxH I 33 3989 6o53|33:3947 609534 3905 6.36 35 3864 6178136 38 aa 6220,3613780 6262373738 63o3 38,3697 2378 2332 2v86 2240 2194 C345t 381 3655 8263 f>386|39'36i4 6428140 3572 W.9 105° 740 64694 65i I 6552 6594 353i 3489 8 1 26 39 8171 8217 a 148 2io3 2o57 201 1 1965 1826 1 83o i834 1 838 i84i 1845 1849 » 1 853 i856 i860 1864 1868 1871 1875 1879 iiSo ii85 8181 8177 8174 8170 8ifi6 8162 8159 3o 1920 1874 4o[i829 4i|i783 42 1738 43' 1693 4^11647 1 883 1887 1890 1894 1898 83o7 8353 8398 44 r 602 8443 1000 ceil. 8117 811 3 81 10 8106 8102 8098 8094 8f)9<) 8087 8o83| 8079 807.5 8071 1 557 3448848946 1 5u , _ 3406 8534 46 1466 1940 4 8060 10.0 cc»*ec 9. 'J «ii. T3° LOGARITHMIC SINES, TANGENTS, &C. Ifo 163° 18° rl. 63 tan. 8534 8579 86a4 8669 8714 8759 88i)4 8849 8894 '^8939 2991 8984 cosec Ills] 3406 3365 33a4 3 a 83 3a4a 32(J<1 3i59 3ii8 53077 cnt. sec. 2955 2914 2873 a83a 2791 2751 2710 2670 2629 258"^ 2548 9029 9073 91 18| 9163 1 466 l42[ 1376 i33i 1286 ID.O 9207 i3 t4 i5|25o8 1 513467 7573,1 16 2427 19 it 7613 17 765 i 7694 7744 7774 7814 7854 7894 7934 7 974 8014 So54 809 f 81 33 8173 82T3 8252 8299 8332 8371 84T7 845o 8490 85a9 8563 860^ 8647 8686 8725 8764 887^3 884a 8881 2 387 2346 23o6 2266 925 9296 9341 9385 943o 9474 9519 9563 9607 965 a. 9696 9740 9784 9S28 0793 0748 0704 0659 o6i5 19 22a6 20:218619872 21 21469916 2 1 2 1 06 9960 22 1 2066 ♦cxi4 23120260048 0570 0526 o48i 0437 0393 1940 1944 1948 1952 1956 i960 1964 1968 1971 [975 1983 1987 1991 1995 '99? 2oo3 161° Bin 9.4* 8998 9037 9076 9115 9153 cosec tan. d. cot. 10.5* 9192 9231 9269 9308 9347 2 3 19S6 1946 1906 1867 i8a7 o348 'o3o4 260260 0216 017a 2018 2022 2026 2o3o 2o34 0128 0084 24j*o4o 249996 5^995; 2o38 2042 2o46 2o5o 2o54 1787 1748 28 1708 29 1668 2911629 :x)92 oi36 o 1 80 0223 oa67 o3ji o355 0398 0442 048 5 269908 2619864 2719820 9777 9733 2o58 2062 2066 2070 2074 29I9689 30:9645 3r|96r,a 329558 32I9515 3o: 1 589!o5a.9 33 9471 3i i55oo57a.;34 9428 3i!i5io 0616,359384 1471 1432 )o !9ao 33 1393 34i353 35i3i4 35 1275 o65o35 934i 0704369297 0746,37,9^ 0789379211 0833389167 0876,3919.34 2078 2082 2086 2090 2094 2098 2ro2 2106 2110 2Il4 7982 [7978 7974 7970 7966 7962 7958 7954 7950 79 'f 6 9385 9424 9462 9500 9539 6 764 36. i236o9i9'4o'9o8i 37,11970962409038 37, II 58 100541:8995 38 1119 1048428952 391080 1092' '(3 8908 "• "' 1135 43 8865 7942 7938 7934 7930 7926 7922 7918 7914 7910 7906 79tv2 789S 7894 7890 7886 9577 9615 9654 9692 973o 9^ 9806 1 3 9844 1 4 9882I14 9920 9958 9996 ♦o34 0072 Olio 1002 0963 0924 o885 0847 0808 0769 4[073i 5 0692 0653 06 1 5 0576 o538 8 o5oo 90461 910423 o385 o346 o3o8 0270 l3!o232 0194 01 56 0118 1 5jOo8o 160042 i6J*oo4 179966 189928 1819890 10.4 o 8822 I 8779 I 8736 28694 3 1 865 1 2179 2i83 2188 2192 2196 220«) 2ao4 2208 318608 4l8565 5j8522 6 848o|22i2 _6J8£3j|22i6 7 8394 8835a 8! 8309 8266 8224 8787 8r39 8097 8o54 8012 01 48 199853 01 85 209815 0223 20J9777 0261 0298 14 2073 1 5 2ir5|i5 2 1 57 1617843 2200 17 7800 d. COS. 9J~ 7821 7817 o I7812 o 17808 o 7804 o J78o3 2407 65o8 6467 f»m 72 3 COS. 3492138 35 8883[3533;39 36,8846-3574 4o|6436 37i88o9!36!5!4r6385 378773 3656 41 6344 1 7674 7670 7666 7662 7657 7653 7649 7645 7640 7636 20 38 8736 10.4* sec 3697 cot. 42 63o3 T0.4 taa. 241 1 4 7589 2416) 4 17584 2420 2424 2429 2433 lao" 10 7567 cosec «in. 108^ 71° 310 LOGARITHMIC SINES, T A N G E If T S , &C. i\ ' I 3 i 6 7 8 9 II 1 4 13 i6 1.7 18 11 20 31 22 23 24 1»= I«0«> ■in. I «i. ccn»tt>26 2)8 589 18S5"J 485i6 4848<> 5 840 5'84f>7 "6 83-^ ~i 7 8334 7 8298 8 8262 88226 98189 io'8i55 10,8117 118081 1 1 18045 9Jj_ 3697 3738 3779 38 20 386 1 39*12 3943 10.4^ 63t)3 6221 6180 3 6139 1 4 ■f(»2 5 4o65 4 1 (X) :ii47 4187 4228 4269 4309 6i>9b 6o5- 5 '601 6 5 597 6 5935 7 j 5894 8 58 1 3 2485 9P772 9 5:- 3 1 1 « >j 569 1 435o, I r 565o 4390 II 56 10 12 5569 1 3 5529 12 800 12.797 13.7937 147901 147865 157829 1 5 7793 167758 17 7722 1 7 7686 KJ I876S 18 761 5 197579 20 7544 20 75i»H UI.O 2433 2437 244a 2446 245o 2455 2459 2464 2468 2472 2477 2481 443 1 4471 457^1 1 31 5488 4552 14 5448 459315I5407 4633 i5j 5367 4673 »6|5327 47i4|i7 4754! 17 4794ii8 5286 S346 520<> 4835! 1 9' 5i 65 4875{i9|5i25 49«5 2o5o»5 21 7473 21 743? 22 7402 23 7356 2669I23 73 3 1 27u5i24 7295 2740 2775 3811 2846 55 56 57 58 59 60 j4 7260 257225 26 ji 89 267>5i 27 71 19 27 7084 28 7049 5o45 5oo5 4925 4955J21 4995 21 5o35 22 5o75 5i3 5775.23,4885 5i55 24 4845 5f95 25'48 5235,2514765 5375' 26^4725 27 j 4685 4645 349< 2494 2499 2 5o3 25o8 25l2 25i6 2521 2525 253o 2534 2539 2543 2547 2552 2556 >56i 2565 2570 2574 2579 2 583 2,588 2592 2597 2601 2606 1 5 53 5355:27 5395 28 5434129 5474!a9 55i4^3o 555431 5593 3 297014^5633 32 46o5 4566 4526 4486 4446 4407 4367 432 2881 2916 2951 2986 3o2 1 J29 6979' 567 3 33 3u56l3o 6944j57 1 2.3314288 3092 306908,5752 34 4248 3126 3i 6874,5791 354209 3i6 1 3268395831^354169 3 1 96 32 68o4 5870 36 4i 3o a6ii> 261 5 2619 2624 2628 2633 2637 2642 2647 265 1 4090 2656 266( 2665 2669 2674 2678 32311336769591037 3266 33 6734 5949 37|4o5i 2683 33ot 34 6699 5989 38 40 1 112688 3336 34 6664 6028 39 3972 2692 3370 35 663o 6067 39 3933 2697 34o5 9.S eo«. 36 il. 6595 10.4 ■ec. 6107 9.5 cot. 4o 3893 KM 2701 o o o o o o o 1 I 1 I 1 I I I I I I I 1 1 2 2 3 2 3 2 2 2 3 a 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 9.tl_ 7567 7563 7558 7554 7550 7545 7541 7536 7 J J 2 7528 7523 7519 75 1 5 75i<> 75o6 75oi 7497 7492 7488 7484 7479 7475 7470 7466 7461 aoo 159° 7457 7453 7448 7444 7439 7435 743o 7426 7421 7417 74l2 7408 74o3 7399 7394 7390 7385 738 1 7376 7372 7367 7363 7358 7353 7349 7344 7340 7335 733 1 7326 coiec 7333 7317 73 I 3 7308 73o3 7299 9.9 aiti. ■III. 9.1 340 5 3440 3475 3509 3544 3578 36i3 3682 3716 owec 10.4 6595 65t)o 6525 6491 6456 6107 6 1 46 6i85 6224 6264 [6422 36387 46353 563i8 56284 375i 3785 3819 3854 3888 3922 3957 3991 4o25 4 o59 4093 4127 4i6 4195 4229 4263 4297 433 4365 4399 4433 446t) 45" K) 45.34 4567 66249 6163 1 5 7 6181 6i4666i5 6112 46t)i 4635 4668 4702 4735 4769 4802 4830 4869 4903 4936 4969 5oo3 5o36 5o6g 5 1 02 5i36 5169 5aoa 5235 tiiii. y.5 d. 63o3 6342 638 1 6420 6459 6498 6537 6576 7 8 "8 9 o o I I 2 2 3:58o5 45771 4 5 6654 6078 6u43 6009 5975 5941 5907 5873 cot 10 4 3893 3854 38i5 3776 3736 3 3697 4 3658 4136192734 5;358i' &3541 "6 67 J 2 6771 6810 6849 6887 6926 20 3U 31 21 22 58396965 7tKj4 7042 5737 57<'3 5669 5635 56(H 5567 5534 5549 26 2573 2534 2496 2457 2419 238 1 17 18 11 19 20 31 31 32 36 27 28 28 29 4997 4964 493 > 489: 4864 2914831 4798 4765 3o 3o 37 7650 769(3 7731 7772 78 1 ( ) 7849 7887 7925 7963 8001 8039 8077 8ii5 8i53 8191 33 23 24 34 25 26 26 37 28 38 d. 274H 3752 3757 2762 2766 2771 2776 2780 2785 2790 2794 2799 2804 2808 2813 2818 2833 2827 2832 2837 284 3846 285i 2855 2860 29 3o 3o 3i 3i 32 33 l33 ,34 35 I0»o too 5268 3 1 473 J 8229 53oi 32 4699 8267 5334 33 4666 83o4 5367 33 4633 8342 54o4 2266 3328 2 1 90 3l5l 3ll3 2075 3037 1999 5433 9.i 34 4567 cm. Id. 10.4 84i8 9.5 tec I cot. 1961 1923 i885 1 847 1809 35 1771 2961 36 1 733 3965 37 1696 3970 37 1 658 3975 38 1620 3980 2865 2870 3874 2879 3884 2889 2893 2898 2903 2908 2913 2917 2922 2927 2932 3937 2941 2946 2951 2956 39 1 582 10.4 tan. 2985 c«c. 9.9 299 7294 7289 7285 728*) 7276 7271 7266 7262 7257 7252 7248 7243 7238 7234 7229 7224 7220 72i5 7210 60 59 58 57 56 55 54 53 53 5i l'».U cosec 720b 201 7196 7192 7187 7182 7178 7173 7168 7163 2 3 3 3 3 3 3 3 3 3 3 3. 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7159 7154 7149 7145 7«4o 7135 7i3( 7126 7121 71 16 7111 7107 7102 7<>97 7092 5o 49 48 47 46 45 AA 43 42 4i 4o 39 38 37 36 35 34 33 32 3i_ 3o 29 28 27 26 7087 7083 7078 7073 7068 7063 7059 7054 7049 7044 7039 7o35 7o3o 7035 7030 701 5 9.9 1100 69° 35 34 33 22 31 20 '9 18 J7 ^6 i5 14 1 3 13 II 10 LOGARITHMIC SINES, TANGENTS, & C. 311 Hio 158° 23° 157° 1 sin. 9.5 d. cosec 10.4 tan. y.o* d. cot. 10.4* sec. 10.0 d. coa. 9.9 sin. 9.;> d. coxec 10.4 tan. 9.6 d. cot. sec. Id. COS. 9.9 10.3 IU.it 5433 4567 84i« i582 2985 7015 7358 2642 064 1 9359 3283! 6717 60 I 5466 1 4534 8455 1 1545 2990 7010 7389 I 2611 0677 1 9323 3289 671 I 59 3 5499 1 45oi 8493 1 i5o7 2995 7005 7420 I 258o 0714 1 9286 3294 6706 58 3 5532 2 4468 853i 2 1469 2999 7001 745 1 2 2549 0750 2 9550 3299 6701 57 4 5564 2 4436 8569 2 i43i 3oo4 6996 7482 2 25i8 0786 2 9214 33o4 6696 56 5 5597 3 44o3 8606 3 1394 3009 6991 75i4 3 2486 0823 3 9 '-77 33o9' '6691 55 6 563o 3 4370 8644 4 i356 3oi4 6986 7545 3 2455 0859 4 9141 33i4 I 6686 54 7 5663 4 4337 8681 4 i3i9 3019 6981 7576 4 2424 0895 4 9105 3319' I 6681 53 8 5695 4 43o5 8719 5 1281 3o24 6976 7607 4 2393 0931 5 ^?? 3324i 1 6(576 53 9 5728 5 4272 8757 6 1243 3029 6971 7638 5 2362 0967 5 333o| I 6670 5i 10 5761 5 4239 8794 8832 6 1 306 3o34 6966 7669 5 233 1 1004 6 8996 3335 1 I 1 * 6665 5o II 5793 6 4207 7 1 168 3o38 6962 7700 6 23oo io4o 7 8960 3340 1 6660 49 12 5826 6 4174 8869 7 ii3i|3o43 6957 773 1 6 2269 1076 7 89^4 8888 3345 6655 48 13 5858 7 4i4^ 8907 8 i()o3 3o48 6952 7762 7 2238 1112 8 335o 665o 47 14 5891 7 4109 8944 9 io56 3o53 6947 7793 7 3307 ii48 8 8852 3355 6645 46 i5 5923 8 4077 89S1 9 1019 3o58 6942 7824 8 2176 1 184 9 8816 336o 664o 45 16 5956 9 4o44 9019 10 0981 3r^3 6937 7855 8 2145 1220 10 8780 3366 6634 44 17 5988 9 4012 9o56 10 0944 3o68 6932 7885 9 3Il5 1256 10 8744 3371 6629 43 18 6021 10 3979 9094 11 0906 3073 6927 7916 9 3084 1292 1 1 8708 3376 2 6624 43 11 20 6o53 6o85 10 It 3947 3915 9i3i 9168 12 12 0869 3078 o832 3o83 2 3 6922 6917 7947 7978 10 10 2o53 2032 i328 1 1 8672 8636 338 I 1 2 3386 2 (36i9 66i4 4i 4o 1 364 12 21 6118 11 3882 9205 i3 0795 3o88 3 6912 8008 11 1992 lioo i3 86r)o 3392 2 6608 .39 33 6i5o 12 385o 9243 i4 0757 3093 2 6907 8039 II I961 1 436 138564 3397I 3 66o3 38 33 6182 12 38i8 9280 i4 0720 3097 3 6903 6898 8070 13 1930 1472 i4i8538 34o3 2 6598 37 24 62i5 i3 3785 9317 i5 o683 3 102 3 8101 13 1899 i5o8 148492 3407 2 6593 36 35 6247 i3 3753 9354 i5 0646 3l07 2 6893 8i3i l3 1869 1 544 15 8456 34i3 2 6588 35 36 6279 i4 3721 9391 16 0609 3lI2 2 6888 8162 i3 1838 1 579 i5;842i 3418 3 6582 34 27 63 1 1 i4 3689 9429 n 0571 3ii7 3 6883 8192 i4 1808 i6i5 16 8385 3423 3 6577 33 38 6343 i5 3657 9466 17 o534 3l22 2 6878 8223 14 T777 i65i 17,8349 3428 ^ 6572 33 39 6375 16 3625 95l)3 18 0497 3i27 2 6873 8253 i5 1747 1687 I7i83i3 3433; 3 6567 3i 3o 64o8 16 3592 9540 19 0460 3i32 2 6868 8284 i5 I716 1722 188278 3438 3 6562 3o 3i 6440 17 356o 9^77 '9 0423 3i37 3 6863 83i4 16 1686 1758 188242 3444 3 6556 39 32 6472 «7 3528 9^14 20 o386 3i42 3 6858 8345 16 i655 1794 198206 3449 3 655 1 38 33 65o4 18 M9^ 965. 20 0349 3i47 3 6853 8375 17 1625 i83o 2o'8l70 3454 3 6546 27 34 6536 18 3464 9688 21 o3i2 3i52 3 6848 84o6 17 1594 i865 20 8i35 3459 3 654 1 26 35 6568 '9 3432 9725 22 0275 3i57 3 6843 8436 18 1 564 1901 21 8099 3465 3 6535 25 36 6599 '9 3401 9762 22 0238 3i62 3 6838 8467 18 1 533 1936 21 8064 3470 3 653o 24 37 663 1 20 3369 9799 23 0201 3167 3 6833 8497 19 i5o3 1972 22 8028 3475 3 6525 33 38 6663 20 3337 9835 23 oi65 3172 3 6828 8527 19 1473 2008 23 7992 3480 3 6520 32 39 6695 21 33o5 9872 24 0128 3i77 3 6823 8557 20 1443 2043 23 7957 3486 3 65i4 31 4o 6727 21 3273 9909 25 0091 3182 3 6818 8588 20 l4l2 2079 24 7921 3491 3 65o9 30 4i 6759 22 3241 9946 25 oo54 3187 3 68i3 8618 21 i382 2ii4 24 7886 3496 4 65o4 '9 42 6790 23 32IO 9983 26 ♦017 J192 3 6808 8648 21 i352 2i5o 25 785o 35o2 4 6498 iS AS 6822 23 3178 ♦019 27 9981 3197 4 68o3 8678 22 l322 2i85i26 7815 35o7 4 6493 17 44 6854 24 3 1 46 oo56 27 9944 3203 4 6798 8709 22 I29t 2221 26 7779 35i2 4 6488 16 45 6886 24 3ii4 0093 28 9907 3207 4 6793 8739 23 I 26 1 2256 27 7744 35i7 4 6483 i5 46 6917 25 3o83 oi3o 28 9870 3212 4 6788 8769 23 123l 2292 27 7708 3523 4 6477 i4 47 6949 25 3o5i 0166 29 9«34 3217 4 6783 8799 24 1201 2327 28 7673 3528 4 6472 i3 4S 6980 26 3020 0203 3o 9797 3222 4 6778 8829 24 II7I 2362 39 7638 3533 4 6467 13 49 7012 26 2988 0240 3o 9760 3228 4 6772 8859 25 ii4i 2398 39 7602 3539 4 6461 11 5o 7044 27 2956 0276 3i 9724 3235 4 6767 8889 25 HIT 2433 3o 7567 3544 4 6456 10 5i 7075 27 2925 o3i3 3 1 9687 3238 4 6762 8919 26 1081 2468 3o 7532 3549 4 645 1 9 52 7107 28 2893 o349 32 965 1 32.43 4 6757 8949 26 io5i 25o4 3i 7496 3555 5 6445 6 53 7i38 28 2862 o386 33 9614 3248 4 6753 897927 1 03 1 2539I33 7461 356o 5 644o 7 54 7169 29 283 1 0422 33 9578 3253 4 6747 900927 0991 3574,33 7426 3565 5 6435 6 55 7201 29 2799 0459 34 9M< 3258 5 6742 9039 28 0961 360933 7391 3571 5 6429 5 5b 7232 3o 2768 0495 35 95o5 3363 5 6737 9069 28 0931 2645 33 7355 3576 5 6424 4 57 7264 3o 2736 o532 35 9468 3268 5 6732 9098 29 0002 268o34|732o 358 1 5 64i9 3 58 7295 3i 2705 o568 36 9432 3273 5 6737 9128 29 0873I 271535,7285 3587 5 64 1 3 3 ^9 7326 32 2674 060 5 36 9395 3278 5 6733 9i58 3o!o842| 2750 35 725o 3592 5 6408 I 60 7358 32 2642 064 1 37 9359 3283 5 6717 9188 3i 0812 2785 36 72 1 5 3597 5 64o3 / 9.0 coa. d. I A 9.6 d7 10.!* I VI d. 9.9 ain. 9.5 COB. d. 10.4 sec. 9fi . cot. d. 10.3 tan. 10.0 9.9 sin. 1 Rec. cot. tan. cosed cosec d. ,1^^ 111° 68° 1 112° 67° I LOGARITHMIC SINES. TANGENTS, &C. : • ' ' HI I iiiri. (i. coit'i* Ian. d. cot. net. \n.v 7o3rtti 80339 10 10! 02 2 2 jiooi9^ ii 1 oi63 ji r:oi34 I 2 oio5 34«4 3S19 tj .J ■ .J -J 3588 3533 9914 9983 ♦012 oo4i 0070 0099 0128 01 57 0186 oai5 oa44| 0273I o3o2 o33i 1210076 1 3:0046 1 3 ♦017 i4 99S8 1419959 3657 3693 3726 3761 370 159930 159901 15,9872 1 61 9843 169814 383o 3865 3934 3968 179785 9756 9727 0359 o388 o4l7 0:446 o474 4(K)3 4o37 4072 18J96984106' i9!96o94i4o 'I^|964l 20J:96»2 20 9583 2 1 19554 211,9526 o5o3 o532 o56i 0589 0618 06461 0675 0704 0732 0761 239497 22 9468 0789 0818 0846 0875 0903 0931 9.6^ 9211 918a 9125 9097 em, d. 29 91)69 4858 110.3' istJC 6 iO.3 lO.tt 6865 j683(> 7J6795 7 676t 86725 3379 3414 3^49 4175 4209 4243 4278 43i2 4346 438 1 4449 4483 10 12 3597 36u3 36o8 36 1 3 3619 3624 363<» 3635 364o 3646 355 1 3557 3662 3567 36_73 3678 3684 368^ 359 1) 37c» ll. I CIM. 64oJ 6397 6392 6387 638 1 o 6376 637<» 6365 636o 6354 6349 0^43 6338 6333 6327 14 6343 i5 63<»8 166274 166239 176204 3733 3738 3744 3749 3755 1716170 1 816 1 35 186101 1916066 2o!6o32 5997 5963 5928 58o4 586f) 5S5j 55i7 943914415 27 5585 3854 941 1 9383 9354 9325 9296 9268 45i7 4552 4586 4620 9239 4654 3760 3766 3771 3777 3782 5825 5791 5757 5-'23 5688 5654 56iQ 4688 4722 9154 4756 33 4790 j 33 4824 QOt. d. 53 1 2 5278 5244 52 10 5176 5 1 42 6322 63i6 63 1 1 63o5 5483 5448 54i4 538o|3888 5346 3893 386o 3865 387? 3877 3882 3899 3905 3910 3916 392 1 3927 u\o 6240 6234 6229 6223 6218 6213 6J07 6201 6196 6190 coi'AC d. ain. 2t« 6294 6289 6284 6278 6273 6i85 6179 6174 6168 6162 61 57 6i5i 6i46 6i4o 6i3> 6129 >123 6118 6112 6107 6101 6095 6090 6084 6079 6073 113' 155° din. d. co«i?c tan. d. cot i«, 1158 1 186 1 354 i382 t4iT 1 438 i466 9069 9012 8984 8955 9.6 48^58 4892 4926 4960 4994 8927 5o38 3 8899 5062 3 88^1 ' " 4 8842 88r4 6 1494 K Jf •£ iJk i55o 1578 1606 1773 1800 1828 1 856 1 883 1911 *9!? i960 1994 302I 8786 8758 8730 870a 8674 8646 8618 :)oo6 5 1 Jo 5164 5.07 523 1 5265 5399 5333 5366 5400 5434 5467 55oi 10. { lu.o 5 1 42 5io8 5074 5o4o 56 7896 7869 784» 7814 7786 7732 7704 2323.237677 a35o24 765o 2377I24J7623 a4o5ja4 7595 2432 a5 7568 57o3 5736 57*^0 58o3 583? 5870 5904 5937 5971 64 4973 4938 4904 487>^ 4836 48o3 4769 4735 4701 4667 4634 4600 4566 4533 4499 3927 3933 3938 3944 3950 1 1 4465 1 2 4432 12439S 1 3 4364 i3 433i 3955 396 3966 3972 3978 3983 3980 3995 4000 4006 4oi3 4018 4o23 4099 4o35 4o4" 4o46 4o52 4o58 4o63 6o38 6071 6104 8006 61 38 7979 6171 aa 38294 7951 6204 7924 6238 6271 63o4 6337 6371 64o4 77596437 6470 65o3 2459257541 24861 26,751 4' 2513:26,748716768 254ip7 7459,6801 2568 27 7432 6834 2595 28 74o5 6867 33 3 1 33 4272 10^3 em, d. sec. | cot. 4297 4264 4a3o|4o8 4197 4 1 63 4i3o 4096 4o63 40294 3996 3963 3929 3896 3862 3796 3762 372 3696 3663 3629 3596 3563 353c) 3497 3463 343o 3397 3364 333 1 cm. o 941 4i85 4190 4196 4202 4208 4214 4220 4225 423 4237 3398 4243 3265.4349 3232 4255 3199 4261 3 1 66 4267 10 3 10.0 tan. cosec d. sin 6073 6067 6062 6o56 6o5o 6045 6039 6o34 6028 6022 6017 (ioi 1 fKK)5 6o(X) 5994 5988 5983 5977 597 • 5965 596< 5954 5948 5937 5931 5935 5920 5914 5908 5902 5897 5891 5885 5879 5873 5868 5863 5856 585o 5844 583o 5833 5827 583| 5875 58 ro 58o4 5798 5792 5786 5780 5775 5769 5763 5757 5751 5745 5739 5733 5728 9.9 eeo lU"* 3o 20 10 LOGARITHMIC SINES, TANGENTS, & C. HIS t 1 «5o 1540 26° 1530 ojn. d. coser tan. d. cot. 10 3 sec. lO.u d. COS. 9.y fin. i 9.6 JL cosec 10. J tan. 9.6* t\. cot. sec. € 1. co«. 9ti 1 ur.i 9.6 10.3* lO.U 9.9 1 ' 3595| 0740 5 6867 3i33 4273 5728 4i84 o58i6 8818 1183 4634 5366] 60 I 26221 0,7378 6900 I 3hk) 4278 5722 4210 5790 885o 1 ii5c •4640 536c .59 2 2649 1735. 6933 I 3067 4384 5716 4236 15764 8882 I 1118 4646 5354 ' 58 3 2676 I 7324 696G 3 3o34 4291: 5710 4262 I 5738 8914 2 1086 4652 5348 5? 4 2703 2 7297 6999 2 3ooi 429G 5704 4288 2 5712 8946 2 io54 4559 5341 56 5 2730 2l727(J 7032 3 296b 43o3 5698 43i3 25687 8978 3 I032 4665 1 5335] 55 6 2757 37M3 7(.;65 3 2935 43u8 5692 4339 3 5661 9010 30990 4671 1 5329' 54 7 2784 37216 7098 4 3902 43i4 5686 4365 3 5635!9o42 4 0958 4677 I 5333 53 8 2811 4;7«89 7.3i 4 3869 4330 I 568o 4391 3 5609 9074 40926 4683 1 53i7 52 9 10 2838 2865 47162 47135 7i63 5 2837 2804 4326 4332 - 5674 5668 4417 4442 4 5583|9Jo6 4 555819138 50894 5'o863 4690 1 4696 1 53io 5i 7196J 5 53o4 !5o 1 1 3892 5;7io8 7229 6 277' 4337 5663 4468 5 5532 9170 6o83(> 47f''2 I 5398J 49 13 2918 5 7083 726a -7 2738 4343 5657 4494 5 55o6 9202 60798 4708 i 5292 48 i3 2945 67055 7395 7 2705 4349 565 1 4519 4545 55481 9234 70766 4714 1 5286 47 14 3973 6 70^8 7337 8 2673 4355 5645 6 5455 9266 70734 4721 I 5279 46 i5 2999 7 7oor 736o 8 2640 436 1 a 5639 5633 4571 65429 9298 8 0703 4727 3 . 5273 45 16 3026 76974 7393 9 2O07 4367 a 4596 75404 9329 8'o67i 4733 3 . 5267 44 n 3o53 8 6948 7425 9 2574 4373 2 5627 4622 75378 9361 90639 4739 3 . 5261 43 18 3o79 86921 7458 10 2542 4379 a 5621 4647 8 5353 9393 90607 4746 3 . 5254 42 19 20 3 10^) 3i33 86894 96867 749 f 10 2509 2476 43SS 4391 a 2 56i5 5609 4673 4698 8 5327 8 53o3 9425 100575 9457 1 1 0543 4752 2 4758 a . 5248 5242 4i 4o 7524(11 21 3r59 96841 7556; n 2444 4397 2 56o3 4724 95276 9488 11 o5 1 2 4764 3 5236 39 22 3i86 10,6814 7589I12 24l t 44o3 2 5597 4749 95251 9520 12 0480 4771 2 5229 38 23 32i3 10.6787 7622 12 2378 4409 2 5591 4775 1 o5225 9552 12 0448 4777 2 5223 37 24 3339 1 1 6761 7654 i3 2346 44i5 2 5585 4800 I 5200 95841 3o4i6 4783 3 5217 36 25 3 266 1 1 16734 7687 14 23i3 4421 3 5579 5573 48261 1 5i74 9615 I 3 o385 4789 3 521 I 35 26 3293 1 1 6708 7719 i4 2381 4427 3 485 1 I I 51499647 1 4o353 4796 3 52o4 34 27 3319 3345 126681 7752 i5 2248 4433 3 5567 48771 1 5i23 96791 4o32i 4802 3 5198 id 28 12 6655 7785 i5 22l5 4439 3 556i 4902 I 2 5098 9710 I 50290 4808 3 5192 32 29 3o 3372 3398 13 6628 7817 16 16 2i83 2i5o 4445 445i 3 3 5555 5549 49271 49531 2 5073 9742 I 5o258 60226 481 5 3 4821 3 5i85 5179 3i 3o 1 3 6602 78 5o 3 5o47 977411 3i 3435 146575 7882 17 3Il8 4457 3 5543 49781 3 5022 98051 60195 4827 3 5173 29 32 345 1 i4i6549 7915 17 2o85 4463 3 5537 5oo3 r 44997 98371 70163 4833 3 5167 28 33 3478 1 5 6522 7947 18 2o53 4469 4475 3 553r 5029 I 44971 9868 I 70i32 484o 3 5i6o 27 34 35 35o4 353i 156496 156469 7980 8012 18 19 2020 3 4 5525 5519 55i3 5o54i 5079 I 44946 9900 1 8 0100 4846 4 4852 4 5i54 5i48 26 25 1988 4481 54921 9932 I 80068 36 3557 166443 8044 20 1956 4487 4 5io4 I 54896 99631 9:0037 4859 4 486.5 4 5i4i 24 37 3583 i6|64i7 8077 20 1923 4493 4 5507 5i3o 1 64870 9995 2o>oo5 5i35 23 38 36. 176390 17 6364 8109 21 1891 45oo 4 55oo 5i55i 6 4845 ♦026 20 9974 4871 4 5f29 22 39 3636 8142 21 i858 45o6 4 5494 5i8oi 64820 oo58 21 9943 4878 4 5l22 21 4o 3662 18 6338 8174 22 1826 45i2 4 5488 52o5 I 74795 0089 21 9911 4884 4 5ii6 20 4i 3689 i863ri 8206 22 1794 45i8 4 5482 523o I 7 4770 01 21 22 9879 4890 4 5iio 10 42 37.5 196285 8239 23 1761 4524 4 5476 5255 1 8 4745 01 52 22 9848 4897 4 5io3 iB 43 3741 196259 8271 23 1729 453o 4 5470 5281 I 84719 01842 3i98i6 4903 5 5097 17 44 3767 196233 83o3 24 1697 4536 4 5464 53o6i 94694 02l5 2 319785 4910 5 5090 16 45 3794 20 6206 8336 24 1664 4543 5 5458 533 1 I 94669 0247 24 9753 4916 5 5o84 i5 46 38 20 206180 8368 25 i632 4548 5 5452 5356 i< 9i4644 0278 249722 4922 5 5078 i4 47 3846 2i6i54 8400 25 1600 4554 5 5446 538 1 204619 o3o9 2 59691 4929 5 5071 i3 48 3872 21 6128 8432 26 1 568 456o 5 5440 5406 20 4594 o34i 2 59659 4935 5 5o65 12 49 5o 3898 3924 22 6102 22 6076 8465 8497 27 27 1 535 i5o3 4566 4573 5 5 5434 5427 5431:2 14569 14544 0372 26 9628 o4o4 26 9596 4941 5 4948 5 5o59 5o52 1 1 10 5456 2 5i 3950 23 6o5o 8529 28 Uji 4579 5 5421 548112245190435127 9565 4954 5 5o46 9 52 3976 236024 856 1 28 1439 4585 5 54i5 55o6 22 4494 0466.27 9534 4961 5 5o39 8 53 4oo2 23 5.;98 8593 29 1407 4591 5 5409 553i 22 4469 0498I28 9502 4967 6 5o33 7 54 55 4o38 4o54 24 5972 24 5946 8626 8658 29 3o 1 374 4597 5 6 54o3 5397 5556 2. 558o2 3 4444 0529' 289471 4973 6 4980 6 5o27 5020 6 5 i342 46o3 3 4420 o56o 29 9440 56 4o8o 25 5920 8690 3o i3io 4609 6 5391 56o5 2. i 4395 0592 3o 9408 4986 6 5oi4 4 57 4io6 25 5894 8722 3i 1278 4616 6 5384 563o'24 437oIo623|3o 9377I 4993 6 5oo7 3 58 4i32' 26 5868 8754 3i 1246,4622 6 5378 5655 a 5 4345 o654 3 19346 4999 6 5ooi 2 59 4i58 26 5843 8786 32 12144628! 6 5372 568o 2. )432oo685,3 r 93i5 5oo5, 6 4995 I 60 4i84 j6 58i6 8818 33 1183 4634 6 5366 5705 al 34295 07173: 29283 5oi2 6 4988 t COS. Its d. sec. 9.fi cot. d. 10 3 tan. 10.0 cosec d. 9.9 sin. 9.6 COS. d. 10.3 sec. 9.7* cot. d 10.2* 10.0 9.9 sin. f tan. roaec d. 115° 64° 1 116° 63«> I 40 I 314 t I. G A R I T H M I C SINES, TANGENTS ►1 &C * 1 tio iri^ 1 ■a8«» isi° r ■in. 4, 1 c«ec tan. 1 (1. j cot. 10.2 ■ec il CtMt. 9.9 •in. 9.6 10.J tan. 9.7 iL cut. 10.2 ■ec. d. COM. 9.9 3ft 9.7 10.0 o JT«.:>5 4295 0717 9283 5oi3 4988 7161 2830 2567 7433 5407 4593 60 1 5739 o4a7i| 0748 I 9252 5oi8 4982 7185 02815 2598 1 7402 54 1 3 4587 59 a 57:54 I 4246 C»779 1 9221 .5o25 4975 72 58 3 ^779 1 4321 0810. 3 9190 5o3i 4969 7a3a I 3768 2659 2 7341 5427 4573 57 4 5 58o4. a 4196 o84i 08^ 291,59 39127 5o38 5o44 49(12 49% 7256 7280 a a 2744 2689 2 73i I 7280 5433 5440 4567 456(1 56 55 34172! 3720 3720 3 6 5853 ■2 4i47 0904 '3 goaf} 5o5i 4949 4943 73o3 2 2697 2750 3 725o 5447 4553 54 7 5878 34132 0935 4 9(.'Ci5 5(i57 7327 3 3673 3780 4 7220 5454 4546 53 8 59*12 3 4098 o9«) 4 9034 5ij<:)4 4936 735o 3 a65o a8ii 4 7189 54&1 4540 52 lO ->9-r7 5952 44073 4 4o48 0997 5.90(13 5070 5i»77 - 4930 4923 7374 7398 3 4 a6a6 a6o2 2841 2872 5 5 7159 5467 _ 4533 45a6 5i 5o 1028 5 8972 7128 5474 II 5976 44024 1059 68941 5o83 4917 7421 4 2579 2555 2902 6 7098 5481 45io 45i3 ^ 13 i'k)i:)i .5 ^ 1,090 6 8910 5089 5096 4911 744s 5 2932 6 7068 5487 i3 fmiS 5 II '21 7 8ii79 4904 7468 6 2532 29^33 7 7037 5494 45c)6 47 i4 i5 6o5iJ 6 3950 il 39 i 5 u53 7 8847 8816 5 1 02 5109 5ii5 a 2 4898 4891 7492 5 35o8 2993 2485 3o23 7 8 7007 6977 55oi 55<)8 2 2 4499 4492 46 45 1184 8 75i5 6 1(3 t>(i99 6 391;) I 121 5 88785 2 4885 75-39 6 2461 3o54 8 6946 55i5 2 4485 44 17 61 a4 7 3876 1246 98754 5l22 3 4878 7562 7 2438 3o84 96916 5521 2 4479 43 i8 6 1 48 7 3852 1277 ,98723 5129 5i35 2 4871 7586 7 24i4 3ii4 96886 5528 2 4472 4a 11 3IO 6173 6197 8 3827 i3o8 1339 10 10 8692 a 3 4865 4858 7609 7633 7 "8 2391 2 367 3i44 3175 10 10 t5856 f»825 5535 5542 2 2 4465 4458 4i 40 8 38*i3 5 142 'il t)J2I B i7"7V 1 370 II 863(> 5i48 2 4852 7656 8 2344 32o5 11 6795 5549 5555 3 445i 39 22 6246 9 3754 i4oi II 8599 *)i:j:) 2 4845 7680 9 232(1 3235 II (^765 3 4445 38 7 J 6270 9 373o i43i 128569 5i6i 3 4839 77o3 9 2297 3265 12 6735 5562 3 4438 37 24 6J95 , '-- .". '■' ^'..'S'lS 5i68 3 4832 7726 9 2274 3295 12 6705 55^»9 3 443 1 36 -iS 6it9 ]0|.JU.-il 1 49 J iiib5u7 5 174 3 4826 775o 10 225o 33j6 l3 6674 5576 .3 4424 35 26 «i343 II;, 3657 1 524 1 3 8476 5i8i 3 4819 481 3 7773 10 2227 3356 i3 6644 5583 3 4417 34 27 6368 1 1 3632 1 555 14 8445 5187 3 7796 10 23o4 3386114 66i4 5590 3 144 10 33 28 6392 11 3&>8 1 586 1 4 84 1 4 5194 3 48c»6 7820 II 2I&0 ? ■■'-': : 5584 5596 3 44o4 32 29 61 -^ !- 3584 i6i'T i5 8383 •J20J 3 4799 7843 1 1 21 57 > ,;-vi4 56o3 3 4397 3i 3o 6 n ' 1- i559 1 3' 3535 i64t> i5 8352 5207 3 4793 4786 7866 12 2 I 54 ■l„,-l. 1 .. 1*^4 56 10 3 4390 3o 3i 6465 1679 16 8321 521 4 3 7890 12 21 10 35(>7 166493 56i7 4 4383 29 3a 6489 i3:35n i7«-)9 16 8291 5220 4 4780 7913 12 2087 3537 16 6463 56o4 4 4376 28 33 65 1 3 133487 1740 • 7 8260 5227 4 4773 7936 i 31 2064 3567 176433 56 3 1 4 4369 27 34 553- 1 4 303 1 77 1 17 8229 5233 4 4767 7959 i3 204l 3597 • 7 64()3 5638 4 4362 26 35 fySih 14 3438 1802 18 8198 5240 4 4760 7982 14 2018 3627 iS 6373 5645 4 4355 25 36 65'^h 1 5 3 i 1 4 18 33 19 8167 5247 4 4753 8006 14 1994 3657 18 6343 565i 4 4349 24 37 6610 1 5 339(1 1 863 198137 5353 4 4747 8029 14 1971 3687 I9!63i3 5658 4 4342 23 M 6(534 i5 33«3 1894 208106 5260 4 474o 8o52 i5 1948 3717 -'9 6283 5665 4 4335 22 39 4c. 6658 mH2 1,6,3342 i6b3i,8 1925 1955 30 21 8075 8045 5266 5273 4 4 4734 4727 8t>75 i5 1925 3747 20 6253 5672 5679 4 5 4328 4321 21 20 8098 16 1902 1879 3777 20 6223 4i (Hnf) 17.329^ 1986 21 801 4 5280 4 4720' 8l2t 16 3807 31 6193 5686 5 43i4 19 42 6-"' I269 2017 22 7983 528(> 5 4714 8i44 16 1 856 3837 21 6i63 5693 5 4307 18 43 f>- „b45 2o48 22 795a 5293 5 4707 8167 17 i833 3867 22 6i33 i7f>o 5 43oo '7 41 6-- , 1 '■' 3221 2078 23 7922 53oo 5 47«"»o 8i9f>[i7 1810 3897 33 6io3 5707 5 4293 16 4'i 6Ho3 1 Si 3 197 2H>9 23 7891 53o{> 5 4694 8213,17 1787 3927 23 6073 5714 5 4286 i5 46 6S27 1913173 ai4o 24 786f> 53i3 5 4687 823718 1763 3957 23 6r,43 5721 5 4279 i4 4-7 6H5i 193149 2170 24 783(> 5320 5 4680 826(iji8 1740 3987 24 601 3 5727 5 4273 i3 /i8 6S-5 19 3(25 2201 25 7799 5326 5 4674 8283)19 ijjj 4017 24 5983 5734 5 4266 12 49 5o 6899 692 2 2«,» 3lOI ' ' -^ 223 1 25 26 77<»9 7738 5333 5340 5 5 4667 4660 83o5;i9 83281 19 1695 1672 4o47 4077 25j 2-5 5953 5923 574 r 5748 6 6 4259 4252 II 10 2262 5i 6946 J ij j'.',j4 2293 26 7707 5346 6 4654 8351I20 1649 4107 26 5893 5755 6 4245 9 5^ 6970 31 3o3o 2 3231 27 7677 5353 6 4647 837420 1626 4i37 26 5863 5762 6 4238 8 53 6994 21 3o(i6 2354,37 7646 536f» 7616 5366 7585 5373 6 464o 8397 21 i6o3 4i66 27 5834 5769 6 423i 7 54 55 7018 22 2982 2384 241 5 28 28 6 6 4634 4627 8420 8443 21 i58(» 4196 4226 27 28 58o4j5770 5774.5783 6 6 4224 4217 6 5 22 2958 21 1 557 56 7066 23 29342445 29 7555 538o 6 4620 8466,22 1 534 4256 28 574415790 6 4210 4 57 7090' 23 2910 24761 29 7524 538{) 6 46i4 84892a 85i2|2a i5i I 42S6 2957145797 7 42o3 3 58 7Il3|'23 288725o6i3o 7494 53931 6 4607 i488 43 1 6 29 5684 58o4 7 4196 2 59 713724; 2863; 2 537; 3o 7463,54<»! 6 4600 8534 23;i466| 4345 3o 5655 58ii 7 4189 1 6. 7161 9J" 24 2839 2567 3i t d. 7433 5407 7 li 4593 9.9 will. 8557 9.6 cm. 23 14.43 4375 9.7 3o d. 5625 10.2 tan. 58 18 10.0 coaec 7 4182 9.9 t 10.3 9.7 10.2 lOil X J 0.3 i?t. il 1 ioe. cot. tan. camt •ec. cot. d. sin. I ITY< > 62° 118° 61° LOGARITHMIC SINES, TANGENTS, &C. 315 o I 2 3 _4 5 6 7 8 _9 10 II 12 i3 i4 i5 16 17 18 !? 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 4S 5o 5i 52 53 54 55 56 57 58 59 6(^ 9.G 8^ 858o 86o3 8625 8648 8671 8694 8716 8739 8762 8784 8807 8829 8853 8875 8897 8920 8942 8965 89H7 290 150« 8in. d.i 9010 9032 9055 9077 9100 9122 9144 9167 9189 9212 9234 9256 9279 9301 9323 9345 9368 9390 9412 9434 9456 9479 9501 9523 9545 9567 9589 961 1 9633 9655 9677 9699 97 2 T 9743 9765 9787 9809 9831 9853 9875 9897 o o 1 I I 2 2 3 3 1 1 4 4 5 5 6 6 6 7 _7 7 8 8 9 J? 9 10 o o I I 2 2 2 C090C 10.3 1443 1420 1397 1375 1 35 J 1329 i3o6 1284 1261 1238 1216 £193 1 171 ii4H I 125 1 1 o3 [080 to58 io35 ioi3 099, 0968 0945 0923 1900 o87h ()856 o833 081 1 0788 0766 0744 0721 oi 0677 o655 o632 0610 o588 o566 o544 o52i 0499 0477 0455 tan. 9.7 4375 44f>5 4435 4465 4494 4524 4554 4583 46 1 3 4643 4673 4702 4732 4762 479' 4^2 I 485 1 4880 4910 4969 4998 5028 5o58 5087 ■3117 5i46 5176 52o5 5235 5264 5294 5323 '^99 5353 5382 d. o o I I 2 cot. 5625 5595 5565 5535 55c )6 54ii 5441 5470 55oo 5529 5558 5588 56i7 5647 5676 0433 o4ir 0389 o367 o345 9 9 9 20 2q 03 9.6 COS. 20 21 21 22 22 22 )323 o3oi 0279 0257 35 02l3 0191 0169 ot47 0125 oio3 5705 5735 5764 5793 5822 5852 588 1 5910 5939 5969 5998 6027 6o56 6086 ,6m 5 6i44 10.3 sec. cot, 9.T 8 8 9 9 20 20 21 21 22 547(^ 5446 5417 5387 5357 5327 5398 5268 5238 5209 5179 5i49 5 1 20 5090 5<>(ii 5o3i 5oo2 4972 4942 49' 3 4883 4854 4824 4795 4765 4736 4706 4677 4647 46i8 45^9 4559 453o 45oo 4471 •«c. lO.O 58i8 5825 5832 5839 5846 5853 586o 5867 5874 588 1 5888 5895 5902 5910 5917 5924 5931 5938 5945 5952 5959 5966 5973 5980 5988 5995 6002 6009 6016 6023 6o3o 6o37 6045 6o52 6059 d. I COS. 6066 6073 6080 6088 6095 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 29 4442 44i2 4383 4353 4324 6102 6109 6ri6 6124 6i3i 4295 4265 42 36 4207 4178 4i4H 4119 4fi9o 4o6i 4o3i 4oo2 3973 3944 3914 3885 3856 10. d, tan. cosec 61 38 6i45 6i53 6160 6167 6174 6i8i 6189 6196 6203 6211 6218 6225 6232 6240 6247 KVI 9.9 4«47 4i4o 4i33 4126 4119 4182 4'75 4168 4t6r 4i54 4i 12 4io5 4098 4090 4o83 4076 4069 4062 4o55 4o48 4o4i 4o34 4027 4020 4oi2 4oo5 3998 3991 3984 3977 3970 3963 3955 3948 3941 3934 3927 3920 3912 3905 3898 3891 3884 3876 3869 3863 3855 3847 384o 3833 3826 3819 38ii 38o4 3797 3789 3782 3775 3768 3760 3753 9.9 1J9' sin. 60° 30= 149 sin. d. cosKJc tan. 9.0* 9897 9919 9941 9963 9984 ♦006 0028 oo5o 0072 0093 oii5 oi37 0159 0180 0202 0224 0245 0267 0288 o3i( o332 o353 0375 0396 o4i8 0439 0461 0482 o5o4 o525 10..J* ooio3 0081 0059 00 37 ♦016 9994 9972 9950 9928 9907 6144 6173 6202 623i 6261 6290 63 1 9 6348 6377 64o6 49885 49863 49«4i 59820 9798 9776 9755 9733 9712 9690 5 6 6 6 2 7 8 8 8 _? 99:101 99539 09518 09496 09475 9668 9647 9625 9604 9582 o547 o568 0590 061 1 o633 o654 0675 0697 0718 0739 0761 0782 o8o3 0824 o846 0867 0888 0909 0931 0952 0973 0994 ioi5 io36 io58 1079 IIOO II2I Il42 ii63 1 184 9.7* 9.7 6435 6464 6493 6522 655 1 658o 6609 6639 6668 6697 6725 6754 6783 6812 684 1 6870 6899 6928 6957 6986 9453 9432 9410 9389 9367 7oi5 7044 7073 7101 7i3o 9346 9325 93o3 9282 9261 7159 7188 7217 7246 7274 9239 9218 9197 9176 9154 9133 9112 909 > 9069 9048 9027 9006 8985 8964 8943 20 20 20 21 21 cot. 10.-2 3856 3827 3798 3769 3739 6247 o 6254 o 6262; o 6269 o 6276 o 3710 368 1 3652 3623 3594 3565 ^3536 6|35o7 6'Mi^ 3449 3420 3391 336 1 3332 33o3 73o3 7332 736 1 7390 7418 7447 7476 75o5 7533 7562 sec. d. 10.0 62831 6291 6298' 63o5 63 1 3 6330 6327 6335 6342i 635o! 6357 6364 6372 6379 6386 3275 3246 3217 3i88 2 3 3 3 3i59|6423|3 |3 3 3 3 4 3i3o 3ioi 3072 3o43 3oi4 643 r 6438 6446 6453 6461 42985 2956 2927 2899 2870 9 20 20 21 21 7591 7619 7648 7677 7706 8921 8900 8879 8858 8837 21 8816 COS. d. sec. 10.2* 7734 7763 7791 7820 7849 7877 9.7 cot. 22 22 23 23 24 I4 25 25 26 26 26 27 27 28 38 29 2841 2812 2783 2754 2726 2697 2668 2639 2610 2582 2553 2524 2495 2467 2438 I I I I I I I I 2 2 2 2 2 2 2 63941 64oi| 6409 64 16 6468 6475 6483 6490 4 - - 4 4 4 5 5 5 6498 65o5 65i3 6520 6528 6535 6543 655o 6558 6565 6573 658o 6588 6595 66o3 6610 2409 238 2352 2323 2294 2266 2237 2209 2r8o 21 5i 2123 10.2 d. I tan. 6618 6625 6633 6640 6648 6656 6663 6671 6678 6686 6693 lO.O cosec d. COS. 9l9~ 3753 3746 3738 3731 3724 3717 3709 3702 3695 3687 368o 3673 3665 3658 365o 3643 3636 3628 3621 36i4 36^ 3599 3591 3584 3577 3569 3562 3554 3547 3539 353^ 3525 3517 35io 35o2 3495 3487 3480 3472 3465 345^ 345o 3442 3435 3427 3420 3412 34o5 3397 3390 3382 33-5 336- 336o 3352 3I44 3337 3329 3322 33.4 33o7 _9^ sin. 60 59 58 57 56 55 54 53 52 5i 5o 49 48 47 46 45 44 43 42 4f_ 4o 3c 3t 37 36 35 34 32 3i 3o 28 27 26 25 24 23 22 21 20 ^9 18 17 16 i5 i4 i3 12 11 10 9 8 7 6 5 4 3 2 I o 120^ 59= #16 I if LOGARITHMIC SINES, TANGENTS, &C. 5 6 7 8 _? 10 If 12 i3 i4 1 5 1 6 "7 i8 '9 3F 148' •in. { 4 9.1 it84 I aoS 1336 1 247 t2'68 1 389 1 3(0 1 33 1 35-i 1 373 o 88 1 6 7877 tkii. ft. 9.7 879.5 1 8774 I 8753 J. U' ft iiJP' A I 393 i4i4 1435 1 456 1477 28711 2 86941 28669 3 8648 3 8( 1498 i5i9 1539 i56o i58i 3 86117 4 8586 4 8565 48544 5853 3 5 85<>2 5 8481 6846. 684io 7906 7935 7963 7992 8020 8049 8077 8106 8i35 d. Qm. 20 21 22 a3 24 25 26 27 28 ?2 'Jo 3 1 32 34 35 36 ![■*•» •J' / 38 39 l(XJ2 1622 1643 1664 i685 78398 78378 8 835? 8i63 8193 8220 8249 8277 1980 3 1951 1923 1894 4! 1 865 5' 1837 51 1808 61780 61751 83o6 8334 8363 8 i63 8391 91609 7 84"9|84i9| 9i58t 9 1 553 8448 8476! 10 85o5!io 88336 8533 II 8563 II 1 524 6846 6854 8 83i5 17051 98295 1726 98274 1 7471 98253 108233 10 82 1 3 4o 4i 43 43 44 767 1788 809 108191 1839111 8171 i850|H 8i5o 1870 II 8i3o 1691 1 13 8109 138089 128068 1 3 8048 i3 8oa7 1 3 8006 1495 6862 14676869 1 438 6877 33o7 3399 3291 3284 3376 32(>9 3261 3253 3246 3238 323(> 3233 32i5 3207 3300 3192 3 184 3i77 3169 3i6i 8590! 1 2 14 1 u 6885 861812 i382 689:» 8647 i3 i353 690f 867513 1 325 69t>8 8704; i4| 1 296 6916 191 1 r 932 195a 1973 994 45 46 47 48 5o 5i 52 53 54 55 56 57 58 60 2014 2o34 2o55 2075 2096 8732 1412686923 8760 i5 12406931 8789115 laii 6939 8817! 16 1 1836947 88451 16 n55 6954 II 26K3962 1098 6970 8874,17 8902 17 8930 89S9 1070 io4i 6978 6986 1 3 8006 8987I18 ioi3|6993 147986901 5119 0985 i4796t'>99 7017 7024 70 3 2 7o4o 7048 7o56 0759 7064 0731 7071 CO*. 207599J955II28 31 d. 7579 10.2 »tJC. 0703 0674 0646 0618 0590 o56a o534 o5o5 0477 0449 0421 cot. 11X2 7079 7087 7095 7io3 71 II 7n9 7126 7 7134 7 7142 7i5o 71 58 2999 2983 2976 2968 2960 2952 2944 2936 3929 2921 2913 2905 3897 2889 tan. cosec 1210 3»« Tifo 8IJ1, 3431 3441 2461 3482 35o2 a 52 2 2542 2562 3 58a coBec 10.2 7579 7559 7539 75io 7498 d. cot. 7478 7458 7438 7418 2623 2643 2663 3683 2703 2723 2743 2763 2783 28i>3 7378 7357 7337 7317 7297 9719 9747 9776 9804 73989832 2922 3942 296a 2982 3oo3 3o32 3o4i 3o6i 3(i8i 3ioi 9860 9888 9916 9944 9973 o 10 d* 04 2 1 0393 o365 0337 o3o9 3 028 3 0253 3 02 24 4 0196 4oi(38 71 58 7166 7174 7182 7i9(j ♦000 0028 CK>56 0084 0113 5jOi4o 5oi 12 0084 cx)56 Of)28 oi4(> 0168 0195 02 23! 11 70980251 11 ♦000 9972 89944 8 99:6 99888 99860 10 10 7078 7o58 7o38 7018 699S 3l2l 3i4o 3i6o 3 1 80 3200 3a 19 3339 3a5o 3378 3298 33i8l5 7237 7245 7253 7261 7269 COiPn 2842 2834 2826 2818 2810 9832I7325 98057333 28o3 2795 2787 2779J 53 2771 5i 9777 9749 734 > 7349 0279 12 972 r 0307J12J9693 o335 139665 o363 0391 0419 0447* 1 4 «>474ii5 o5o2ji5 i99o53o'i6 .^558 76 6879 6860, 684o o586 0614 6820 0642 ^38000669 (J697 19 0725 19 0753 0781 0808 9637 ?^'9 958 9553 9526 949« 9470 944? 9414 9386 9358 933 1 20 6487 6467 6448 6428 6409 6389 08 36 0864 0892,22 0919 22 0947123 93o3 9275 9247 9219 9192 7357 7365 7373 738 1 73j9 73'97 74o5 74 1 3 7421 7439 2f>83 2675 2667 2659 265 1 7437 7445 7454 7462 747" 3643 2635 262 2619 2611 2603 2595 2587 2579 257 0975 [23 i(x)3|24 io3o 24 1058I25 1086! 25 iii3 26 9164 91 36 9ic»8 9081 9053 7478 7486 7494 75oa 75io 9025 8997 897' 8942 89M 8887 75i8 7527 7535 7543 755i 2563 2555 2546 2538 253o ii4i 268859 lO.i 7559 7567 7575 7584 7592 7600 7608 7616 26883 27 8804 7624 2787767633 28 8748 7641 2522 25l4 25o6 2498 2490 2482 2473 2465 2457 3449 2441 2433 3425 2416 2408 10 »8<» 1220 •ec cot. d 10.0 covec d. siij. 570 LOGARITHMIC SINES, TANGENTS, &C. 317 o I 2 3 _4 5 6 7 8 _? 10 11 12 i3 14 i5 16 17- 18 L9. 2J 21 22 23 24 35 26 27 28 29 330 din. d. 146° I 340 9.7 36 1 1 363o 365o 3669 3689 cosec 3708 3737 3747 3766 3785 06359 6370 635o 633 1 63ii taii. I d. '.1.^ 38o5 3834 3843 3863 3883 3901 3921 3940 3959 3978 6292 6273 26253 3 6234 _3|62i5 3,6195 36176 4|6i57 4,6137 4,6118 1252 1279 i3o7 i335 1 362 o cot It) I 8748 0I872J 8693 8665 8638 3997 4017 4o36 4o55 4074 3o 3i 32 33 34 35 36 37 38 ^1 4o 4i 43 43 44 4093 4n3 4i32 4r5i 4170 56099 3 6079 5 6060 66041 66022 6 6oo3 1390 i4i8 1445 1473 i5oo 1^28 i556 1 583 1611 1 638 sec. 10 8610 8582 3;8555 4|8527 4;85oo 5:8472 5:84.44 5;84i7 68389 6 8362 1666 1693 1721 1748 1776 5983 5964 5945 5926 4189 4308 4227 4346 4365 4384 43o3 4333 434 436o 7 7 7 8 8 5907 85887 9 5868 9 5849 9j 583(1 5"87T 5792 5773 5754 5735 9 10 10 II 10 10 10 10 II 45 46 47 48 5o 5i 52 53 54 55 56 57 58 59 60 4379 4398 4417 4436 4455 11 u 12 12 12 i3 i3 i3 14 i4 5716 5697 5678 5659 564o i8o3 i83i 1 858 1886 r9i3{ii 1941 1968 1996 2023 2o5l 8334 83o7 8279 8252 8224 2078 3io6 2i33 2161 2188 4474|i4 4493 i5 45i2 453i 4549 5621 56o2 5583 5564 5545 55^ 55o7 5488 5469 22l5 2243 2270 2298 232 5 II 12 12 l3 i3 T4 14 i5 i5 16 8197 8169 8142 8ii4 8087 7641 7649 7657 7665 7674 7682 7698 7707 77 1 5 77^3 773 1 7740 7748 7756 7765 7773 7781 7789 779a 7806 7814 7823 783 1 7839 d. O O o o I I I I I I I 2 2 2 2 COS. "99" 8059 8o32 8004 7977 7949 i5 i5 1 61 545 1 5375 5356 4568 i6|5432 45S7165413 4606 175394 4625,17 ~' 4644 »7 4662 17 4681 1 18 4700' 1 8 4719 18 4737 19 47 '>6 2352 238o 2407 2435 2462 97 5335 53i9 53oo 5281 5263 i9.'5244 W2 eo4. ' d. J 230- see. 2489 25l7 2544 2571 2599 2626 3653 2681 2708 2735 2762 2790 2817 2844 2871 2899 16 16 n n 18 18 19 19 20 20 7922 7894 7867 7839 7812 7848 7856 7864 7873 7881 7785 7757 773o 7703 7675 21 21 22 22 22 23 24 7648 7620 7593 7565 7538 75! I 7483 7456 7439 7889 7898 7906 7914 7923 7931 7940 7948 7956 7965 7973 7982 7990 7998 8007 801 5 8024 8o32 8o4i 74oi|8o49 7374 8o'58 7347I8066 73198075 24| 72928083 25|7365 8o92 35i73388ioo 36 7310 8109 367183 81 17 27I71568126 2771298134 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 2359 235i 2343 2335 2326 23i8 23 10 23o2 2293 2285 2277 2269 2260 2252 3244 2335 3227 2219 22II 2202 2194 2186 2177 3169 3l6l 2 I 52 2144 2i36 2127 2119 2111 2102 2094 2086 2077 2069 2060 2052 2044 2o35 2027 2018 2010 2002 1985 1976 1968 1959 1951 27 cot. ! d. 7IOI in. I tiin. 8143 100 •!o«ec d. 1943 1934 1935 1917 1908 1900 1891 i883 1874 1866 i857 145° sin. I d. 9.9 sin. 50° 9.7 4756 4775 4794 48i3 483 1 485o 4868 4887 4906 4934 copec 4943 4961 4980 4999 5017 10.2 5344 5225 5306 5i88 5169 tan. 9.8 5i5o 5i32 5ii3 5094 5076 5o57 3 .5o39 4 4 2899 2926 2953 2980 3oo8 d. cot. 5o36 5o54 5073 5091 5iio 5II28 5i47 5i65 5 1 84 5202 5221 5239 5258 5276 5294 5373. 533i 535o 5368 5020 5ooi 4983 514964 54946 5 4927 6 4909 6!489o34i5 64872 3o35 3062 3089 3li7 3i44 3171 3198 3225 3252 3280 33o7 3334 336i 3388 10.1 7101 7074 7047 7020 216992 2 6965 3|6938 3j69i I 46883 sec. 4853 4835 4816 4798 8 8 8 9 _9 9 9 10 10 4779 4761 4742 4724 4706 5386 10 54o5 1 1 5423 II 5441 5459 5478 5496 55i4 5533 555i 5569 5587 56o5 5624 5642 566o 12 i3 i3 i3 i3 4687 4669 465o 4632 46i4 4595 4577 4559 4541 4523 3442 3470 3497 3524 355 1 8i85 8194 8202 82 1 1 4|6856 82i9 10.0 8143 8i5i 8i6o 8168 8177 d. 5 6829*8228 56802 56775 6;6748 66720 76693 7;6666 8,6639 86612 96585 3578 36o5 ?632 3659 3686 96558 96530 ioj65o3 106476 1 1 6449 8237 8345 8254 8262 8271 8280 8288 8297 83o5 o o o o I I I I I 1 I 2 2 2 2 2 2 2 3 3 COH. 9.9 1 i857 1849 i84o i832 1823 45o4 4486 4467 4449 443 1 3713 3740 3768 3795 3822 14 i4 i4 i5 15 5678 1 5 56961x6 5714J16 5733ji6 5751 17 5769JI7 17 17 18 18 18 5787 58o5 5823 584 1 5859 44i3 4395 4376J4173 4358 4200 3849 3876 3903 3930 3957 3984 4oii 4o38 4fj65 4092 4119 4i46 1116422 12,6395 1 216368 1 3 634 1 i363i4 14628^ i4|626o 146232 i5|62o5 15:6178 83i4 8323 833 1 834o 8349 8357 8366 8375 8383 8392 i66i5i 166124 i7|6o97 1716070 ^6043 i86o76 5989 5962 5935 5908 84oi 8409 84i8 8437 8435 18 »9 '9 20 4340 4227 4322 43o4 4254 4280 42864307 4267I4334 4249 436 1 20 21 21 22 22 8444 8453 8463 8470 8479 33 33 33 34 34 9.7 COS. 433 1 '4388 43i3 44i5 4195 4442 41774469 41594496 4i4i 10.2 (1. sec. 4533 9.8 cot. 35 25 26 26 27 27 588 1 5854 5827 58oo 5773 5746 5730 5693 5666 5639 8488 8496 85o5 85i4 8533 853 1 854o 8549 8558 8567 56] 2 5585 5558 553 1 55o4 5477 10 I 8575 8584 8593 8602 86u 8619 8638 8637 8646 8655I 8664 in.o 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 181 5 1806 1798 1789 1781 60 5 5 57 56 1772 1763 1755 1746 1738 1729 1720 1712 1703 1695 55 54 53 52 5i 5o 49 48 47 46 1686 1677 1669 1660 i65i 45 44 43 43 4i 1643 1634 1625 1617 1608 40 ^9 38 37 36 1599 159 1 583 1573 1565 1 556 1 547 1 538 i53o l53I 35 34 33 33 3i 3o 3 3 27 26 tan. rosec 124° l5l2 i5o4 1495 i486 1477 1469 1460 i45i 1443 1433 35 24 33 23 31 20 '2 18 17 16 1435 i4i6 1 407 1398 1 38 i5 14 i3 12 II 10 9 8 7 6 i38i 1372 1 363 i354 1 345 1 336 9.9" d. sin. ^_0 5 55° 4 3 2 I o AA^ 318 tOOAHITHMIC SINES, TANGENTS, &C. 3y IW sm. 5877 5895 5913 593 59t>7| 0' I % Jr 1 5 6 7 8 1 10 11 12 1 3 i5 16129 16 6 1 46 4 o o ctMec 10. tan. '"nuT furyv 4l4l 4 1 23 4io5 14087 1 14069 i[4<>5t 2 4*'33 4<>i5 3997 3979 3 3c/i 33943 4:3925 4523 455o 4576 46<>3 o 4 cot. 10.1 o o'5477 545o I 5424 5.397 5370 nee. \ d. lOj 17 18 19 30 21 22 23 24 i5 36 27 28 39 (>075 6093 j 4(3907 61 III 4! 3889 4J3,^ 5 3854 5138 5t38i8 6!38oo 63782 4657 4684 4711 4733 4764 1-91 48 1 8 4845 4873 4H99 2 5343 3 53i6 3lS-i898726 8ftJ4 8672 8681 8690 87t)8 8717 4:5262 4 5^36 6164 6183 630C> 62 i 8 3o 3i 33 34 35 36 37 38 ,?9 4o 4i 42 43 44 45 46 47 48 1? 5o 5i 53 53 54 6253 6271 6289 63o7 6324 6342 636o 6378 6395 64i3 643 1 6448 6466 6484 65oi 65i9 6537 6554 3764 3747 3729 3711 7 1 369 3 8 3676 8l3558 4 52t>9 55182 55i55 6; 5 1 28 6 5ioi 4925 4952 49791 5(KJO' 5o33 5o59' 5o86 5ii3 5i4o 5i66 5193 5ii<) 5247 8734 8743 8752 8761 8770 B779 8788 8':364o|5273 9J3622 53oo| 55 56 57 58 59 60 6572 6590 6607 6635 6641 6660 6677 6695 6712 6730 6747 6765 6783 6800 6817 9 36o5 9 3587 3569 3552 3534' 35i6 3499 3481 3463 3446 3428 3410 9 10 10 10 II 11 11 12 i3 i3 i3 i4 1 4 14 12 12 12 3393 " 3375 3358 3340 3323 33o5 3288 1 4 3270 1 5 3353 i5 3a35 1 5 3218 163200 16; 3 f 83 5327 5354; 538.1 5 f 07 5434 546<> 5487' 55i4 5540 5567 5594 56';<) 5647 5674 57«x> 5727 5754 5780 58o7 5834 6835 (6 3.65 685^; 17 6870,17 6887' 17 6904,17 6922 18 9.7 5" 7[5o75 7 5o48 8 5o2i 8 4994 8I4967 9494^ 9*49(4 4887 4860 4834 4807 4780 4753 ,4727 314700 3 46^ 4' 4646 4' 4620 5I4593 5 4566 6 6 8797 8806 88(5 8824 8833 8843 885 1 8859 8868 8877 8886 8895 904 8913 892 a 89I7 89^0 8949 8958 8967 COS. 9.9 45i3 6|4486 74460 74433 45408977 8986 8995 9004 9013 84406 8l438o 4353 4326 43oo 9 9 30 20 20 21 21 22 4273 4246 4220 4193 4i66 3 1 48 3i3o 3ii3 3096 3078 sec. 586r) 5887 5913 5940 5967 5993 6020 6o46 6o73| 6100 6126 9022 gci'ii 9040 9049 9058 9<:)67 9076 9085 9^>94 9104 22|4i4o 23|4ii3 2314087 244060 24 4o33 91 1 3 9123 913 9140 9149 '.».'* cot 24, 4007 35 3980 253954 26 3927 363900 3874 27 10 1 tan 91 58 9168 9177 9186 9195 9204 mo o o o o 1 1 I I I I 3 2 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 1 336 1 338 i3i9 i3io i3oi 1292 1283 1374 1266 1257 1248 1239 I33o 1321 I2I3 I203 1 194 ii85 1176 1 167 30 3 143' II 58 1149 (i4i 1(32 1123 11(4 I io5 1 096 1087 1078 1069 1060 io5i 1043 io33 I023 ioi4 ioo5 0996 0987 0978 0969 0960 t)95i 0943 0933 0924 0915 0906 0896 0887 0878 0869 0860 o85i 9.9 otec d. lin. 0842 o833 0833 o8i4 080 5 0796 64« •in. 9.7 6922 6939 6957 6974 6991 7(X)9 7026 7043 7061 7078 d. icotec IU.2 t*n 9.?* 30786126 3<:>6i'6i53 30436179 30266306 3009 6333 7095 7113 7i3o 7(47 7164 7181 7199 7316 7333 7250 7268 7385 73o2 7319 7336 7353 7370 7387 74o5 7423 d. cot. aec. d. am. 2991^6259 2974 6285 2957',63i2 2939 6338 29226365 10. 1 3874 3847 3821 3794 3768 3905,6392 288864(8 28706445 2853 647 2836 6498 38196524 2801 3784 2767 3750 7439 7456 7473 7490 753 66 3o 2732 27i5 2698 2681 2664 7524 754 ( 7558 7575 7592 7609 7626 7643 7660 7677 7694 77»i 7728 7744 776 ( 7778 7795 7812 7829 7846 7 8 8 _8 9 9 9 9 10 10 10 II II II 11 13 13 12 l3 i3 i3 i3 i4 i4 14 i5 i5 i5 i5 256 1 2544 2527 25lO 2493 7862 7879 7896 79' 3 7930 7946 1>.7 COi. 6656 6683 6709 6736 6762 6789 681 5 6842 6868 2647 263<) 26 1 3 3595 3578J6894 3 3 3 4 A 4 5 5 6 j6 7 7 7 8 _8 9 9 to 10 II 374 « 37(5 3688 3662 3635 10.0 9204 9213 9223 9232 9241 9250 9259 926 927 9287 36t>b 9296 3582 93o2 0592 o583 0574 60 59 58 57 56 55 54 53 52 5i o565 (j555 o546 o537 o527 5o 49 48 47 46 45 ^^ 43 42 41 o5i8 o5o9 0499 0490 o48o 0471 0462 0452 0443 0434 9670 9680 2499 9^89 9699 97i>8 9718 9727 9737 9746 9756 9765 M.O cosec d. 6 0424 o4i5 o4o5 0396 o386 40 39 38 37 36 35 34 33 32 3i 3o 29 28 27 36 25 24 33 33 31 o377 o368 o358 o349 0339 o33o 032O o3ii o3oi 0293 0282 J0273 0263 [0254 0244 0235 9.9 sin. 126° 530 30 '7 16 i5 i4 i3 12 II 10 LOGARITHMIC 4 1 SINES, TANGENTS, <&c 1 1 319 f I 2 3 4 5 6 7 8 9 10 II 13 i3 i4 j5 16 (7 18 1? 20 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4( 42 43 44 45 46 47 48 49 5o 5i 52 53 54 55 56 57 58 60 1 37° 142° 38° 141° t 60 57 56 55 54 53 52 5i 5o 48 47 46 45 43 43 4i 40 39 38 37 36 35 34 33 33 3i 3o 37 36 25 24 23 23 31 20 '9 18 (7 16 i5 i4 i3 12 11 10 7 6 5 4 3 3 I f Hin. 9.7 7946 7963 7980 7997 8oi3 8o3o 8047 8o63 8080 8097 8ii3 8i3o 8147 8i63 8180 8197 83i3 823o 8246 8263 8280 8296 83i3 8329 8346 8362 837? 8395 84(2 8428 8445 846 1 8478 8494 85io 8527 8543 856o 8576 8592 8609 8625 8642 8658 8674 8691 8707 8723 8739 8756 8772 8788 88o5 8821 8837 8853 8869 8886 8902 8918 8934 9.7 co». I I I 1 2 2 2 2 3 3 3 4 4 "4 4 5 5 5 5 6 6 6 2^ 7 7 7 8 8 8 9 9 9 9 10 10 10 10 II II 11 12 13 12 12 i3 i3 i3 i3 i4 i4 14 1 5 i5 i5 i5 16 16 16 16 d. cosec I0.i 2o54 2o37 2020 2oo3 i9_87 1970 1953 1937 1920 1903 1887 1870 1853 1837 (820 i8o3 1787 1770 (754 1737 1720 1704 1687 1671 (654 1 638 1621 i6o5 i588 l572 1 555 1539 i522 i5o6 1490 1473 1457 i44o 1424 1408 1391 1375 1 358 i342 (326 1 309 1293 1277 1 261 1244 1228 1212 1195 1 179 ii63 Il47 ii3i iii4 1098 1082 U366 lO.i tan. d. 9.8 771 1 y 7738 i 7764 7790 7817 7843 7869 < 7895 7922 7948 - 7974 ' 8000 8027 8o53 ( 8079 ( 8io5 • 8i3i • 81 58 • 8184 1 8210 . 8*236" 8262 8289 K 83i5i< 834i i< 8367 ( 83931 8420 I 8446 I 8472 I 8498 I 8524 r 855o I- 8577 (- 86o3 I 86291 8655 i< 8681 I 8707 I 87331 8759 I 87861 8812 I 8838 1 88641 88902 8916 2 8942 2 89682 89942 9020 2 9046 2 9073 2 90992 9125 2 9i5i 3 91772 9203 2 9229 2 9255 2 9281 2 cot. 10.1 3 2289 D 2262 I 2236 1 2210 J3i83 2 2l57 32r3t 3 2io5 32078 4 2052 4 2026 5 2000 5 1973 5 1947 5 1921 7(895 71869 7(842 8 i8ifi 8 1790 9 1764 91738 J 1711 3 1 685 3 1659 I i633 1 1607 2 i58o 2 1 554 3i528 3 i5o2 4r476 4r45o 4i423 5 1397 5i37i 5i345 5 i3i? 71293 7 1267 7 1241 8 i2i4 8 1 188 9 1 162 9 ii36 IJIO 1084 oio58 1 io32 1 1006 20980 20954 3 0927 30901 40875 40849 40823 50797 50771 60745 60719 10. 1 I. tan. sec. 10.0* 9765 9775 9784 9794 9803 9813 9822 9832 9841 985 [ 9861 9870 9880 9889 9899 9909 9918 9928 9937 9947 d. 2 2 2 2 3 2 3 3 3 3 COS. 9.9* 0235 0225 0216 0206 0197 0187 0178 0168 0159 0149 0139 oi3o 01 30 OIII oroi 0091 0082 0072 cx)63 oo53 0043 oo34 0024 ooi4 ♦oo5 ^5 9976 9966 9956 9947 9937 9927 99' 8 9908 9898 9888 9869 9859 9849 9840 9830 9820 9810 9801 979' 9781 9771 9761 9752 9742 9732 9722 9712 9702 9693 9683 9673 9663 9653 9.8* sin 9.7 8934 8950 8967 8983 8999 9015 903 1 9047 9063 9079 9095 911 1 9128 9144 9160 9176 9192 9208 9224 9240 9256 9272 9288 93o4 9319 9335 9351 9367 9383 9399 94i5 943 1 9447 9463 9478 9494 9510 9526 9542 9558 9573 9589 9605 9621 9636 9652 9668 9684 9699 97(5 9731 9746 9762 9778 9793 9809 9825 9840 9856 9872 9887 9.7 COS. d. I I I I 2 2 2 2 ■3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 \ 8 8 8 9 _9 9 10 10 10 10 II II II 1 1 12 12 12 12 i3 i3 I3 i4 i4 i4 i4 i5 i5 i5 i5 16 16 X coaec 10.2 1066 io5o io33 1017 ICX)I 0985 0969 0953 0937 0921 0905 0889 0872 o856 o84o 0824 0808 0792 0776 0760 0744 0728 0712 0696 0681 o665 0649 o633 0617 0601 o585 0569 o553 o537 o522 o5o6 0490 o474 o458 0443 0427 o4ii 0395 o379 o364 o348 o332 o3i6 o3oi 0385 0269 0254 0238 0222 0207 tan. 9.8*" 9281 9307 9333 9350 9385 941 1 9437 9463 948? 95i5 9541 9567 9593 96.9 9645 9671 9697 9723 9749 9775 9801 9827 9853 987? 9905 993 ( 9957 9983 ♦009 oo35 d. I I 2 2 3 3 3 4 4 5 5 6 6 ~6 7 7 8 8 9 9 10 10 10 (I II 12 12 i3 cot. 10. I* 0719 0693 0^)67 064 1 o6i5 o589 o563 0537 o5ii o485 0459 0433 0407 o38i o355 o32? o3oj 0277 025l 0225 0199 OJ73 0147 0I2I 0095 0069 0043 ♦017 9965 9939 9914 9888 9862 9836 9810 9784 9758 9732 9706 9680 9654 9639 9603 9577 9551 9525 9499 9473 9447 9422 9396 9370 9344 9318 9292 9266 9241 9215 9189 9163 lO.O* tan. sec. 10. 1 o347 o357 o367 0376 o386 0396 o4o6 o4i6 0426 0436 0446 o456 o466 0476 o486 0496 o5o5 o5i5 o525 o535 0545 o555 o565 (>575 o585 d. 2 2 2 2 3 2 3 3 3 3 3 cos. 9.8 9653 9643 9633 9624 9614 9604 9594 9584 9574 9564 9554 9544 9534 9524 95i4 95o4 9495 9485 9475 9465 9966 9976 9986 9995 ♦oo5 001 5 0024 oo34 oo44 oo53 oo63 0073 0082 0092 0102 0112 0121 oi3i oi4i oi5i 0160 0170 0180 0190 o'99 0209 0219 0229 0239 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 3|9455 49445 49435 49425 4i94(5 0595 o6o5 o6i5 0625 o636 0646 o656 0666 0676 0686 0696 0706 0716 0726 0736 0746 0756 0767 0777 0787 4 4 5 5 5 \ 5 6 6 6 6 6 6 7 7 7 7 7 7 94o5 9395 9385 9375 9364 9354 9344 9334 9324 93i4 9304 9294 9284 9274 9264 9254 9244 9233 9223 9213 9203 9193 9183 9173 9162 9152 9142 9132 9122 9113 9101 9091 9081 9071 9060 9o5o --in. 0061 (K)86 0112 oi38 0164 i3 i3 i4 14 i5 0190 0216 0242 0268 0294 0320 o346 0371 0397 0423 0449 0475 o5oi o527 o553 0578 o6o4 o63o o656 0682 i5 16 16 16 17 (7 18 18 '9 !9 19 20 20 21 21 22 22 22 23 23 24 24 25 25 26 26 d. 0797 0807 0817 0827 o838 o848 08 58 0868 0878 0888 0899 0909 0919 0929 0940 0950 ! '.1 cosec 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 d7 0248 0258 0268 0278 0288 0298 o3o7 o3i7 o327 o337 o347 10. 1' cosec 8 8 8 9 9 9 9 9 9 10 10 0191 0175 0160 oi44 0128 oii3 10.- 0708 0734 0759 0785 0811 o837 1 * • sec. cot. d d. sin sec cot. l2to 52° 128° 51° )i A LOGARITHMIC o I 3 3 4 5 6 7 9 lu ri I'i i3 t4 3II< SINE 140^ S, TANGENTS, & C . mtt. i d. ■9J* 99o3 99'i8 oo34 995c; 9990 CIM«« HI. .:♦ liin. I d. 9.9 |o837i (-H 1 3 o«>97i<' 1 «i82jo889 I oo66<>9i4 I '«)5c>!o940' o cot. 10.U J 0OJ#J|OQiXf a 00 1 9 0992 a!9988 5 '997 3 0074 1 oo8< oto! 3,9957 3 {994'^ 3|9936 3J9yti 4!9895 1 5 16 17 id 19 20 21 32 23 24 J! %3 26 27 28 !? 3i 34 35 .36 37 38 ?? 4o 4i 42 44 45 46 47 Au 49 5o 5i 5? 53 54 55 56 57 58 59 01 30 01 36 oi5i 0166 0182 01971 021 3 0228 0244! 0259 4 9880 4 - 1224 l25o 49849II276 ioi8 (»43 069 1095 1121 f i47 1172 1198 9163 Oj,9t37 1 91 1 1 19086 2 [9060 2J90C 39fx>8 3,8982 38957 48931 get'. I 1 1 W.l 0950 09»'> 1 r)97o i>98o 0991 9834 519818 0274 0290 o3o5 0320 o336 59803 5 9787 6:9773 619756 6 9^4 1 ^0,9726 7,97'o 719695 7I9680 7,9664 i3oi 1 3 27 1 353 1 379 i4o4 i43f» i456 4 8qo5 5j8879 5 8853 6.8828 68802 _u_ 7875<'> 78724 88699 88673 lOOl lOIl 1 03 2 I o3a 1042 io52 io63 1073 io83 1094 o a.H 9o5o o 9040 90 3o 9t)30 9009 8999 8989 8978 8968 8958 o35 o366 o382 0397 o4a8 0443 o458 0473 0489 8 9649 819634 8i96r8 819603 919588 9' 957a 9/' 954a 9527 95f I 9 10 10 o5o4 o5i9 o534 o55o 0'565 j58o 05951 0610 1625 064 1 o656 >67i Shft 0701 0716 9496 'I9481 10 10 II 11I9450 II 9435 1482 II 1 5o7 1 1 1 533 12 1550 13 1 585 1 2 9,8647 98621 98596 108570 8544 10 iio4 iii4 I 125 ii35 II 45 1 1 56 1166 1176 1187 1197 8937 8927 8917 8906 85i8 8493 8407 844 1 84i5 1 6 r o i636 1662 1688 1713 1739 1765 1 791 1816 1843 1868 1893 '9f9 1945 1971 1 3 8390 1 318364 i4|8338 i4i83i3 158287 13 1 5 16 16 17 17 18 11 9430 12 94o5 12.9390 12J9375 13*9359 1996 3o48 2073 2099 073 1 0746 0762 0777 0792, 60 0807 cow. 120O 1 319344 i3J:9329 1 3] 931 4 9399 9284 9369 9254 9338 9333 9208 9193 i4 i4 i4 i4 i5 i5 i5 i5 8361 8235 8209 8184 81^ 8i33 8107 188081 i8|8o55 198039 2135 2!5o 2176 2202 2227 2 253 2279 33o4 233o 3356 238i 9^ cot. 19 20 20 2t 21 21 32 22 23 23 34 24 24 35 25 26 8oo4 7978 7952 7937 7901 1207 iai8 1228 1239 1249 889<) 38886 38875 38865 38855 3 8844 8834 8824 881 3 88o3 1359 137^' 1280 1291 i3oi l3!2 I 32 3 i33a 1 343 i353 1 364 1 374 1 385 1395 i4o6 i4i6 1427 1437 i448 ^58 7875 1469 785o 1479 8793 8782 8772 5 8761 5^ 8751 5:8-t4i 5J8730 68730 6 6 6 6 6 7 7824 7798 7773 7747 7721 7696 7670 7644 10.0 tan. 1490 i5oi i5ii l522 1 532 1 543 1 553 i564 7619 1575 10.1 I0t 130 10 10 10 10 10 10 8709 8699 8688 8678 8668 8657 8647 8636 8626 86f5 86o5 8594 8584 8573 8563 8552 854a 853 1 8531 85io 9{8499 9 8489 8478 8468 8457 8447 8436 8425 H.8 ■ ilia iin, 1 il. com-c 0807 o8:'.> 08 3- 08 5 3 I't.l 0882 0897 0913 0927 0943 0957 0972 0987 1O03 1017 09193 I ) 9 1 -^S 9163 9148 9133 91 18 9103 9088 9<^73 9()58 tan. 2 38 1 2407 3433 3458 3484 25 10 2535 256i 2587 2613 io32 io47 1061 1076 1091 1106 1121 ii36 ii5i 1166 1180 1195 1 3 10 1235 i34o 1354 1269 1384 *?99 i3i4 i328 i343 i358 l373 1 387 1 402 i4i7 i43i i446 1 1 1461 II 3 3 3 3 "4 4 4 4 5 "5 5 5 6 6 __ 6 7 7 _7 7 6 8 8 JB 9 9 9 9 10 ID 10 10 9043 9038 9013 8998 8983 8968 h953 8939 8934 8909 2638 3663 368q 371 2740 2766 3793 3817 2843 2868 8894 8879 8864 8849 8834 88x1 88o5 8790 8775 8760 8746 8731 8716 8701 8686 1475 1 » 1490 " i5o5ji2 i5i9 12 1 534] 12 1 549 i » 1563113 1578 i3 1592 1607 3o23 3o48 3073 3099 3 1 24 8672 8657 8642 8638 861 8598 8583 8569 8554 8539 8525 85i 8495 848 1 8466 845 1 8437 8423 84o8 8393 3894 3920 3945 3971 2996 cot. 10.') 7619 759J 7567 7543 75i6 74^ 7465 743 74 1 3 7388 sec. I d. HI. I 575 585 596 6t)6 617 7362 7337 73 1 1 7285 7260 7234 7208 7 1 83 7157 7i32 638 638 649 660 670 3i5o 3 1 75 330I 3227 3252 3278 33o3 3329 3354 338o 3406 343i 3457 3483 35o8 3"5l3 3559 3584 36 fo 3636 i3 i3 1622! i4 i636i4 i65i i4 i665!i4!8335J3865 366 1 3687 3712 3738 3763 3789 8378 8364 38 8349 384o 1680 1694 9.S CCM. i5 i5 d. 8320 83o6 sec. 389 3916 cot. 7106 7080 9! 705 5 07029 07004 6978 6952 6927 690J 216876 3|685o 316825 46799 6773 6748 6723 6697 6671 6646 6620 65^ 656g 6543 65i8 6493 9 20 20 20 31 21 23 22 23 23 23 34 34 25 25 26 17 68 692 702 7i3 724 o cow. W 8425 o|84i5 o84o4 I 1 8394 8383 734 745 756 766 777 8372 8363 835i 834o 833ol 83 1 83ob 8398 8387 8376 ;i 60 5 57 56 54 53 5a 5i 5o 49 48 47 46 6467 644 r 64i6 6390 6364 6339 63 1 3 6388 6362 6237 6311 6186 6i6< 6i35 100 taa. 788 799 809 820 83 i 842 853 863 874 885 83W> 318355 3I8344 38234 38223 418213 48201 48191 4|8i8(. 418169 895 906 917 938 939 949 960 971 982 993 2004 201 5 2025 2o36 2047 2o58 3069 3080 2091 2102 2tl3 2123 2i34 2145 3i56 2167 2178 2189 2200 6109.2211 6084 3232 10.1 eosec 4 81 58 5i8i48 5 81 37 58126 58ii5 58io5 68094 68o83 618072 68061 6 6 7 7 _7 7 7 8 8 _8 "8 8 8 9 9 '9 9 9 10 10 10 10 ID 10 II II 8o5i 8o4o 802 801 8007 7996 7985 7975 7964 7953 7943 7931 7920 7^ 45 44 43 42 ll 4o 39 38 37 36 35 34 33 32 3i 7887 7877 7866 7855 7844 7833 7822 781 1 7800 7789 7778 ■in. ■490 3o 29 28 27 26 24 23 23 31 20 19 18 »7 116 i5 i4 i3 13 II 10 t 7 6 5 4 3 2 1 o LOdABITRMIC SINKS, TANGENTS, <&( B. S m 4io 138° 430 1370 sin. d. C08«C tan. d. cot. sec d. COS. sin. d. cosec tan. d. COL sec. d. cos. 1 y.8 10.1 9.9 lO.U lU.I 9.8 •^.8 10.1 9.9 10.0 10.1 9.8 t 1694 83o6 3916 6084 2222 7778 255i 7449 5444 4556 2893 7107 60 I 1700 1723 8291 3942 6o58 2233 7767 3565 7435 5469 453 1 2904 7096 u 2 8277 3967 1 6o33 2244 7756 2570 2593 7421 5495 I 45o5 29.5 7o85 3 1738 I 8262 3993 I 6007 2255 7745 1 7407 5530 I 4480 2927 7073 57 4 5 1753 1767 I I 8248 8233 4018 4o44 2 5983 5956 2266 2277 — 7734 7723 2607 2621 I I 7393 5545 2 2 4455 2938 7062 7(.)5o 56 55 73795571 4439 3950 6 1781 I 8219 4069 4095 3 5931 2288 7712 2635 I 7365 5596 3 4404 3961 7039 54 7 1796 2 8204 3 5905 2299 7701 2649 2 735 1 5633 3 4378 2973 7028 53 8 1810 2I8190 4 1 20 3 588o 23lO 7690 2663 3 7337 5647 3 4353 2984 2 7016 52 9 10 1835 1839 38175 38161 4i46 4171 4 4 5854 5839 58o3 2321 3333 2 2 7679 7668 2677 2691 2 2 7323 5672 4 4 4328 43o3 2995 3oo7 2 2 7oo5 6993 5i 5o 7309 5698 II i854 38i46 4197 5 2343 2 7657 2705 3 7395 5723 5 4277 3oi8 2 6983 % 12 1868 38i32 4232 5 5778 2354 2 7646 2719 3 7281 5748 5 4253 3o3o 2 6970 i3 1882 38ii8 4248 6 5753 2365 2 7635 2733 3 7367 5774 5 4226 3o4i 3;6959 47 i4 i5 1897 191 1 38io3 48089 4273 4399 6 6 5727 5701 2376 3 7624 7613 2747 2761 3 3 7253 7239 5799 5835 6 6 4201 4175 3o53 3o64 36947 46 45 2387 3 36936 16 1926 4,8074 4324 7 5676 2399 3 7601 2775 4 7225 585o 7 4i5o 3076 3:6924 U 17 1940 48060 435o 7 565o 2410 3 7590 2788 4 7213 5875 7 4i25 3087 369.3 43 18 1955 48045 4375 8 5625 2431 3 7579 2803 4 7198 5901 8 4099 3098 36902 42 »9 1969 5,8o3i 4401 8 5599 2433 4 7568 2816 4 7«84 5926 8 4074 3.10 46890 4i 30 1983 58017 4436 8 5574 2443 4 7557 283o 5 7170 5953 8 4o48 3l2I 46879 4o 31 1998 5 8002 4453 9 5548 3454 4 7546 2844 5 71 56 5977 9 4o3 3 3i33 46867 39 32 201 3 5,7988 4477 9 55a3 2465 4 7535 2858 5 7143 600 3 9 3998 3.45 4i6855 38 23 2026 5]7974 6,79^9 45o3 10 5497 3476 4 7534 2872 5 7138 6038 10 3972 3 1 56 4'6844 37 24 2o4i 4538 10 5472 3487 4 75i3 2885 6 7ii5 6o53 10 3947 3(68 516833 36 25 2o55 67945 4554 II 5446 3499 5 75oi 2899 6 7101 6078 11 393 > 3i79 5 683. 35 26 2069 67931 4579 II 5421 25lO 5 7490 2913 6 7087 6io4 II 3896 319. 56809 34 27 2084 67916 46o4 11 5396 2531 5 7479 2927 6 7073 6139 II 3871 3203 5'679» 33 28 2098 7,7903 463o 12 5370 3533 5 7468 2941 6 7059 6i55 12 3845 32i4 56786 32 29 3o 21 12 2126 77888 77874 4655 4681 13 ll 5345 2543 5 6 7457 7446 2955 2968 _7 7 7045 7o3p 6180 12 38 30 3795 3225 3237 6 6 6775 6763 3i 3o 5319 2554 63o5 i3 3i 2l4l 7I7859 87845 4706 i3 5294 3566 6 7434 2982 7 7018 633i|i3 3769 3248 6 6753 29 32 2i55 4732 i4 5268 3577 6 7423 2996 7 7a)4 6356 i4 3744 3360 6 6740 28 33 2169 8^7831 4757 i4 5243 3588 6 7412 3oio 8 6990 6281114 3719 3272 6 6728 27 34 35 2184 2198 87816 8 7802 4783 i4 5217 519. 3599 6 7401 7390 3o23 3o37 8 8 6977 6963 63o7 >4 6333 J 5 3693 3668 3383 3395 7 7 6717 6705 26 25 4808 i5 3610 7 36 2212 97788 4834 i5 5i66 3633 7 7378 3o5i 8 6949 6357ii5 3643 33o6 7 6694 34 37 3226 97774 4859 16 5i4i 3633 7 7367 3<)65 9 6935 6383 1 6 36 17 33.8 7 6682 23 38 3240 97760 4884 16 5ii6 3644 7 7356 3078 96932 64o8:i6 3593 333o 7 6670 22 39 2255 97745 4910 17 5i )9o 3655 7 7345 3093 96908 6433 16 3567 3341 8 6659 21 4o 2269 2283 107731 4935 '7 5o65 26h6 7 7334 3io6 968^4 6459 17 3541 3353 8 6647i 20 4i 107717 49^1 17 5o39 3678 8 7322 3l3() 9j688o 6484 17 35i6 3365 8 6635, 19 43 2297 107703 4986 18 5oi4 3689 8 73 1 1 3i33 10 6867 65io 18 3490 3376 8 6634 .8 43 23il 107689I5013 18 4988 3700 8 73oo 3i47 10 6853 6535,18 3465 3388 8 6612 17 4d 2326 107674J5037 '9 4963 2713 8 7388 3i6i 10 6839 656() 19 3440 34tH> 8 6600 16 45 234(» 1 1 7660; 5062 '9 493b 3733 8 7277 3174 10 6836 65^6 19 34i4 3411 9 6589 i5 46 2354 1 1 7646; 5o88 30 4913 3734 9J7266 3i88 ti 6813 6611I19 3389 3433 9 6577 i4 47 3 368 11 7633 5i i3]2o 4887 2745 917255 3303 1 1 679*^ 663') 20 3361 3435 9 6565 .3 48 3383 II 7618513920 486 1 2757 9 7243 33i5 II 6785 6663 1 30 3338 3446 9 6554 13 49 2396 1276045164 21 4836 2768 9 7333 3329 1 1 6771 6687,31 33.3 3458 9 6542 11 5o 24 10 12 7590 5190 21 48i() 3779 9 7231 3343 i[ 6758 67 1) 21 3288 3470 10 653o .0 5i 2424 12 7576' 53 1 5 22 4785 2791 10 7209 3356 12 6744 6738 23 3263 3483 JO 65i8 I 52 3439 12 756 1 1524022 4760 2802 10 7198 3370 13 6730 6763 32 3337 3493 10 65o7 53 2453 i3 7547|5366 23 4734 38i3 10 7187 3383 12 6717 6788123 3313 35o5 10 6495 7 54 2467 i3 7533j529i 23 4709 3835 10 7175 3397 12 6703 68i4,23 3.86 35i7 10 6483 6 55 2481 1375195317 23 4683 3836 10 7164 33io l3 6690 6839I23 3i6i 3538 11 6472 5 56 2495 1 3 7505.5342 34 4658 2847 10 7i53 3324 i3 6676 6864,24 3.36 3540 II 646o 4 57 25o9 1 4 749 1 j 5368 24 4632 3859 ii|7i4i 3338 i3 6663 6890134 3i 10' 3553 . I 6448 3 58 2523 14747^5393' 25 i47463,54i8l25 4607 3870 ii|7i3o 335 1 i3 6649 6915 25 3o85 3564 «i 6436 3 59 2537 4582 3881 It 7119 3365 1416635 ^940' 35 3o6t-) 3575 II 6425 I 60 1 255i 9.8 co«. i4 7449 5444 35 d. 4556 10.") tan. 2893 10.' cosec 11 d. 7107 9.8 sin. 3378 9.>< COM. i4 d. 6677 10. 1 6966 9.9 25 d. 3o34 3587 1 -.0 lO.l tan, cosec 13 d. 64t3 9.8 sin. 1 10.1 sec. 9.4 cot. sec. cot. 131° 4S° 1330 470 41 0i LOGARITHMIC SINES, TANGENTS &iC. o I 2 3 _4 5 6 7 8 _? lo II 12 i3 i4 i3 i6 17 i8 !? 30 21 22 23 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4^ 4i 42 43 44 43^ 136° •in. d. |CO!!>«>c tan. 9^ 3378 3392 34o5 3432 3446 3450 3473 34B6 35oo 45 46 47 m 4? 5o 5i 52 53 54 55 56 57 58 59 60 35i3 3527 3540 3554 3567 10.1 0J6622 06608 06595 658 1 6568 6554 654i 6527 65i4 65oo 3 58 1 3594 36o8 3621 3631 3648 366 1 3674 3688 3701 3715 3728 374 » 3755 3768 3781 3795 38o8 3321 3834 3848 386i 3874 3887 3901 6487 6473 6460 4 6433 6419 6io6 6392 6379 6366 9.9 69()6 699 7016 7042 7067 7092 7118 7143 7168 7193 7219 7244 7269 6446)7295 7320 7I45 7371 7396 7421 7447 635^ 6339 6326 63 1 2 6299 7573 6285 6272 6259 6245 6232 7 7 7 7 8 1 8 8 8 9 6219 6205 6192 6179 6166 3914 3927 3940 3954 39571 3980 3993 4o«»6 40^3 4o46 4(»59 4072 4fj85 4098 4i 12 4 1 25 4 1 38 4i5i 4r64 4l_77 "9£_ cm. 96073 96061 06046 o 60 3 3 7472 7497 752 3 7548 7595 :'624 7649 7674 770r» 6 1 52 6139 6126 6ii3 6099 6086 7 97 8 7725 7750 7776 7801 7826 785 78-'7 7902 7927 7953 6020 6007 5994 5980 5967 5954 594 5928 5915 5902 d. 8tK)3 B029 8o54 8079 8io4 8i3o 8 1 55 8180 8006 o o I I 2 2 3 3 3 4 "4 5 5 5 6 ~6 7 7 8 8 cot. 10.0 3o34 3009 2984 2958 2933 2908 2882 2857 2832 2807 823 8256 8281 83o7 8332 5888,8357 58758383 5862 84oR 58498433 5836,8458 582 3 8484 10.1 sec. 93_ cot. 8 8 9 9 20 20 21 21 22 22 92 23 ^ 24 24 24 25 25 2781 2756 2731 2705 2680 2655 2629 26ii4 2579 iSt^C* 10.1 3587 3599 36ii 3623 3634 3646 3658 3670 3682 3694 3705 3717 3729 3741 3753 3765 3777 3789 38oo 2553 38 1 2 (I. CtlX. 9.8 064 1 3 o64oi 6389 6377 6366 6354 6342 633o 63i8 2 63o6 2528 25o3 2477 2452 2427 240? 2376 235i 2326 23oo 2275 225o 2224 21 2174 99 398 ? 2l4 212 2098 2073 2<)47 2022 '997 1971 (946 r92 .896 1870 1845 1820 IJ94 1769 1744 1693 1668 1643 I6I7 1592 1 567 1 542 i5i6 ITiTt" tan. 3824 3836 3848 386o 3872 3884 3896 3908 3920 3 932 3^ 3956 3968 o ^99^ 4oo4 4016 4028 4o4o 4o52 4o64 4076 4088 4 1 00 4i 12 4124 4r36 4i49 4i6r 4173 4i85 4197 4209 4221 4234 6295 6283 6271 6259 6247 — I — . — 316235 3J6223 3j62ii 4|62oo 4|6i88 ,46176 44° 135° 6164 6i52 6r4o 6128 6n6 6104 6092 6080 6068 6o56 6044 6o32 6020 6008 5996 5984 5972 5960 59 18 4246 4258 4270 4282 4594 4307 M.l COitnc 8 8 8 9 _? 9 9 9 10 10 10 10 ID 1 1 n II II 1 1 12 12 12 5936 5924 5912 5900 5888 58^ 5864 585 1 5839 5827 58T5 58o3 5791 5779 5766 5"^ 5742 5730 5718 5706 5693 9.H 1390 i. ""in. 40° aid. d. cowf tan. <1. cot. sec. d. cus. 9.8 4177 4190 42o3 4a 16 4229 4242 4255 4269 4282 4295 43o8 4321 4334 4347 436<> 10.1 5823 58 10 5797 5784 5771 5758 5745 5731 5718 5705 5692 5679 5666 3j5653 3 5640 4373 4385 4398 44ii 4424 4437 445o 4463 4476 4489 45o2 45i5 4528 4540 4553 4566 4579 4592 46o5 4618 46 3o 4643 4656 4669 4682 4694 4707 4720 4733 4745 4758 477' 4784 4796 4809 4822 4835 4847 4860 4873 315627 3|56i5 4 56o2 45589 _4 5576 "4 9.9 8484 8 509 8534 856o 8585 8610 8635 8661 8686 8711 8737 8762 8787 8812 8838 8863 8888 8913 8939 8964 4885 4898 4911 4923 4936 4949 9.R 9 9 9 9 _? 10 10 10 10 1 1 II II II II 12 12 12 12 12 i3 5563 555o 553? 5524 55i I 8989 9015 9040 9065 9090 549.^ 5485 5473 5460 5447 91 16 9'4i; 9166 9191 9217 5434 5421 5408 5395 5382 9242j 9267 9293 9318 9343 5370 5357 5344 533 53i8 53c)6 5293 528c 5267 5255 524"' 522Q 5216 5 204 5191 5178 5i65 5i53 5i4o 5 1 27 10.0 i5i6 1491 1466 i44o i4i5 1390 1 365 1339 i3i4 12 " 1263 1238 12l3 1188 1 162 II 37 II 12 1087 1061 8 io36 10.1 4307 4319 433i 4343 4355 8944 4368 438o 4392 44o4 17 4429 4441 4453 4466 4478 4490 45o3 45i5 4527 454o 9368 9394 9419 9444 9469 9495 9520 9545| 957' •! 9596 962 1 j 9646 9672; 9697 9722 lOI I 0985 0960 0935 0910 0884 i|o859 o834 0809 0783 9747 9773 979B 9823 9848 5i i5 5l02 5089 5o77 5o64 i3 5o5i 10.1 9874 9899 9924 994q 9975 fen 9.9 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 9 9 20 20 21 2! 21 22 22 23 ^ 24 24 24 25 25 0758 0733 0707 0682 o657 o632 1606 o58i o556 o53i o5c)5 o48o 0455 o43o o4o4 0379 o354 o328 o3o3 0278 0253 0227 0202 0177 Ol52 0126 oroi 0076 oo5i 002 5 0000 lo.o 4552 4564 4577 4589 4601 46i4 4626 4639 465 1 4663 4676 4688 4701 47i3 4726 4738 475o 4763 4775 4788 4800 48 1 3 4825 4838 485o 4863 4875 4888 4900 4913 4926 4938 4951 4963 4976 4988 5ooi 5ot4 5026 5o39 5o5i 9.8 5693 568 1 5669 5657 5645 5632 5620 56o8 5596 5583 5571 5559 5547 5534 5532 55io 549^ 5485 5473 5460 5448 5436 5423 54j 1 5399 5 5 6 6 _6 6 6 7 7 _7 7 7 8 8 8 "8 8 9 9 _9 9 10 10 10 10 5386 5374 536i 5349 5337 5324 53i2 5299 5287 5274 10 n 1 1 II II 10.1 II 12 12 12 12 12 5262 525o 5237 5225 5212 5200 5187 5175 5162 5i5o 5 1 37 5 1 25 5ri2 5iofi 5087 5o74 5o62 5o49 5o37 5o24 5oi2 4999 4986 4974 4961 4949 9.8 row. (i. aec. cot. rl. tan. cosec d. Biru 60 59 58 57 56 55 54 53 52 5l 5^ 49 48 47 46 45 44 43 42 4i 4o 39 38 37 36 35 34 33 32 3i 3o 29 28 27 26 25 24 23 22 21 20 '9 18 17 16 i5 i4 i3 12 I i 10 9 8 7 6 ~5 4 3 2 1 o TRAVERSE TABLE, OE TABLE OP I DIFFERENCE OF LATITUDE AND -ar DEPARTURE. t «4 TRAVEaSE TABLE. Course pwintn dug: I I li fainu deg. 0^ l5' 3o' 45' 1° 1 5' 3o' 45' 2° 1 5' 3o' 45' 30 15' 3o' 45' 40 15* 3o' 45' 5"- i5' 3o' 45' 6P 1 5' 3o' 45 1 5' 3o' 45' go l5' 3o' 45' 90 1 5' 3o' 45' 100 1 5' 3o' 45' no 1 5' 3o' 45' 3o' 45' 13° iV 30* 45' 1 5' 45' 15«» Dtst. 1 diC ]«t. I dep. I .ooouo 0.00000 oo436 00873 oi3oo 0.01745 oai8i oa6i8 o3o54 0.99999 99996 99991 0.99965 99976 99966 9'J953 0.999390.03491. 999i3j 03926 99905, 04362 99885 04798 0.998800.04907 0.998630.05234 99839! 05669 99813 061 o5 99786] o654o 0.997550.06976 997-«5 995?' 99557 0.99619 99580 99540 0.99518 9949^ 0.99452 99406 99I57 99307 0.99255 99200 99144 99087 0.99027 9S965 074 1 0784 -' Dist. 2 08281 0.08716 09150 09535 0.09802 10019 0.10453 10887 Il320 11754 0.12187 1 2620 i3o'i^ 1 3485 0.13917 14349 0.989180.14673 98902 1478 1 98836 1 52 1 2 0987690.15643 98700 16074 98629 $8556 0.98481 98404 98325 98245 0.98163 0.98079 9799. 9790 S 0.97815 97723 9763o 97534 0.97437 97333 97237 97134 0.97030 0.97003 x^ 96705 0.96593 Course i65o 16935 0.17355 17794 18234 1 8652 0.19081 0.19509 mil ao364 0.20791 21218 a 1644 22070 0.22495 22920 a3345 23769 0.2419a 0.34298 3461 5 a5o38 25460 o.a588a dep. di£ lat. I dep. 2.00000 1.99998 99903 99983 1.99970 99952 99931 99907 1.99878 99846 99810 99770 1.99759 1.99726 99678 99627 9957a 1.99513 .99450 99383 993 1 3 1.99239 99161 99079 1.99037 98994 1 .93964 9881 1 98714 98614 1 .98509 98401 98289 98173 1.98054 97930 1.97835 97803 97672 1 .97538 97309 97257 97111 1.96962 96808 96651 96490 1.96325 1.96157 95985 95^09 1.95530 95446 95359 95068 1.94874 94676 94474 94268 1 .94059 1.94006 93846 9363o 93409 Dist. 3 diOitr dif. lat. Dist. I O.OOIMM) 00873 01745 02618 0.03490 o4363 o5a35 06108 0.06980 0785a 08724 09596 0.09814 0.10467 1 1339 laaio i3o8i o.i3q5i i48a3 15692 16562 0.1743 1 i83oo 19159 o. 1 9603 30fi38 0.20906 21773 33641 235o7 0.24374 35240 a6io5 26970 0.27835 38699 0.39346 39563 3o425 0.31187 33149 33oio 33870 0.34730 35589 36447 373o5 o.38i6a 0.39018 39874 40728 0.4 1 583 42436 43388 44139 0.44990 45840 46689 47537 0.48384 3.00000 3.99997 99989 99974 399954 9 2.99817 99769 997'4 99655 3.99639 3.99580 99518 99440 99358 2.99269 99175 99075 98970 2.98858 98741 98619 2.98555 98491 2.98357 98217 98072 97921 2.97764 97601 97433 97260 2.97080 96895 2.96753 96705 96508 2.96307 95886 95667 2.95443 95312 94976 94735 2.94488 94235 93977 93714 3.93444 93169 93880 9360J 3.92311 93014 91711 9i4o3 a.91089 0.00000 4.00000 01 309 03618 03937 o.o5a36 06544 07853 09163 dep. Dili. 4 di£ lat. o.io47o|3.99756 99693 99619 99539 .99518 3.99453 99357 99254 99144 3.99036 98900 98767 98626 3.98478 98322 98158 3.98074 97987 d«p. 11778 i3o86 14393 0.14720 3.995 0.15701 ~ 17008 i83i5 19621 0.20927 33233 3353H 34842 o.a6i47 27450 0.39405 3oo56 o.3i359 3.978t. 'i 90769 90444 90114 3266< 33961 35 261 0.3656 1 37860 39158 40455 0.41759 43o48 0.44019 44343 45637 0.46930 48223 49514 5o8o5 0.5209.4 53383 54671 55957 0.57243 0.58527 59810 61093 0.62374 63653 64932 66209 0.67485 68760 70034 7i3o6 0.73577 0.72894 73846 75ii4 76381 Course deg. 97623 97439 97337 3.97018 96803 96578 96346 3.96107 95861 3.95671 95606 95345 3.95075 94799 945i4 94333 3.93933 93616 93302 92980 3.92651 3.92314 91970 91618 3.91259 90892 9o5i8 90137 3.8^748 89352 88948 88537 3.88118 3.8801 3 87692 87259 86818 0.00000 01745 03491 o5a36 0.06981 08736 10471 I33l5 0.13960 15704 17448 19(9 0.19627 0.20934 33677 34419 2616 0.27903 29643 3 1 384 33i23 0.34862 366oi 38338 0.39207 40075 0.4181 43547 45381 47015 0.48748 5o48o 53310 53940 0.55669 57397 0.58692 59124 60849 0.62574 54397 66019 67740 3.8977810.77646 3.86370 dep. I dif. lat. Dist. 3 defi. 45' 3o' 1 5' 45' 3o' i5' 88° 45' 3o' 1 5' 87© 45' 3o' i5' 86° 45' 3o' 1 5' 85° 45' 3o' i5' 84° 45' 3o' 1 5' 83° 45' 30* 1 5' 82° 45' 3o' i5' 81° 45' 3o' i5f points 8 0.69459 80® 45' 3o' i5' 79° 45' 3o' i5' 78° 45' 3o' 1 5' 77° 45' 3o' i5' 71177 72894 74610 0.76334 0.78035 79747 81457 0.83 1 65 84871 86576 88379 0.89980 91680 93378 95074 0.96769 76° 0.97192 0.98461 1.00l52 01841 1.03528 dit. lat. Dist. 4 45' 3o' 1 5' 75° 7l 74 7l deg. m points Course T R A^ EBSE TABLE. 325 Course points o li deg^ 6° 1 5 3o 45 1° i5 3o 45 2° i5 3o 45 30 i5 3o' 45 4° 1 5 3o 45 5° i5 3o 45 6° i5 3o 45 70 i5 3o 45 8° i5 3o 45 9° i5 3o 45 10° i5 3o 45 IF i5 3o 45 12° i5 3o 45 13° i5 3o 45 14° i5 3o 45 150 point* deg, Dist. 5 dif lat. dep. 5.0000 5.0000 4.9998 9996 4.9992 9988 9983 9977 4.9970 9961 9952 9942 4.9940 4.9931 9920 4.9878 9863 9846 9828 4.9810 9790 9770 4.9759 9748 4.9726 9703 9679 9653 4.9627 9600 9572 9543 4.9513 9483 4.9459 945 1 9418 4.9384 9350 93i4 9378 4.9240 9202 9163 9123 4.9081 4.9039 8996 8953 4.8907 8862 88i5 8767 4.8719 8669 8618 8567 4.85 1 5 4.85o2 8462 8407 8352 4.8296 0.0000 0218 0435 o654 0.0873 1091 i3o9 i527 0.1745 1963 2181 33 0.34 0.2617 2835 3o52 3270 0.3488 3705 3923 4f4o 0.4358 4575 4792 0.4901 5009 0.5220 5443 565o 5877 0.6093 63io 6526 6743 0.6959 7175 0.7337 7390 7606 0.7822 8o37 8252 8467 0.8682 8897 9112 9326 0-9540 0.9755 0.9968 1.0182 1.0396 0609 0822 io35 1.1248 1 460 1672 i884 1.2096 I.2l4 23o! 3519 373o 1.3941 dep. Course | Dist. 5 dif. lat. Dist. 6 diC lat. 6.0000 5.9999 9998 9995 5.9991 9986 9979 9972 5.9963 9954 9943 9931 5.9928 5.9918 9904 9888 9872 5.9854 9835 9815 .9794 3.9772 9748 9724 5.9711 9698 5.9671 9543 9614 9584 5.9553 9520 9487 9452 5.9416 9379 5.9351 9341 9302 5.9261 9330 9177 9133 5.9088 9042 6995 8947 5.8898 5-8847 8795 8743 5.8689 8634 8578 8521 5.8462 84o3 8342 8381 5.8218 5.8203 8i54 8089 8023 5.7955 dep. 0.0000 0262 o524 0785 0.1047 1 309 157I i832 0.2094 3356 3617 2879 0.2944 0.3 1 4o 3402 3663 3924 0.4- 85 4447 4708 4968 0.5229 5490 5751 0.5881 6011 0.6272 6532 6792 7053 0.7312 7573 7832 8091 o.835o 85io 8869 9127 0.9386 9645 0.9903 1.0161 1.0419 0677 0934 1191 I. 1449 1.1705 1962 2219 1.2475 2731 2986 3242 1.34 37 4007 4261 i.45i5 1.4579 4769 5o23 5276 1.5529 Dist. 7 diClaUi dep. 7.0000 6.9999 9997 9994 6.9?S9 9983 9976 9967 6.9957 9946 9933 ,9919 6.9916 6.9904 9887 9869 9850 6.9829 9808 9784 9760 6.9734 9706 9678 5.9653 9548 6.9617 9584 9550 95i5 6.9478 9440 9401 9351 6.9319 9276 0.8804 6.9243 dep. 9231 9185 6.9138 9090 9040 8989 6.8937 8883 8828 8772 6.8714 6.8655 8595 8533 5.8470 84o5 834 1 8374 6.8206 8i37 8066 7994 6.7921 6.7902 7846 7770 7693 6.7615 dif lat. Dist. 6 0.0000 o3o5 o5ii 0916 O.I233 i537 i833 2i38 3443 3748 3o53 3358 0.3435 0.3664 3968 4373 4578 0.4883 5i88 5492 5797 0.6101 64o5 6709 0.686 r 701 3 0.7317 7631 7924 8338 0.853I 8834 9137 9440 0.9743 1.0044 1.0371 o347 0649 1 .0950 1252 1 553 i854 i.2i55 2455 3755 3o57 1.3357 1.3556 3955 4255 1.4554 4852 5i5i 5449 1.5747 6044 634i 5638 1 .6935 1.7009 723 1 7527 7832 1.8117 dep. dif. lat Dist. 7 Dist. 8 dif. lat. I dep. 8.00000.0000 7.9999 9997 999| 7.9988 9981 9973 9963 7.9951 9938 9924 9908 7.9904 7.9890 9871 985i 9829 7.9805 9780 9753 9725 7-9696 9532 7.9615 9597 7.9562 9525 9485 9445 7.9404 9360 93i5 9269 7.9221 9172 7.9134 9121 9069 7.9015 8960 8903 8844 7.8785 8723 855o 8596 7.8530 7.8453 8394 8324 7.8252 8178 8104 8027 7.7950 7870 7790 7707 7.7624 7.7603 7538 7452 7354 o349 0698 1047 0.1396 1745 2094 2443 0.3792 3i4i 3490 3838 0.3925 0.4187 4535 4884 5232 0.558I 5929 6277 6525 0.6972 7320 7668 0.7841 8oi5 0.8352 8709 9055 94o3 0.9750 1.0096 0442 0788 I . II 34 1479 I. 1738 1825 2170 i.35i5 2859 3204 3548 1.3892 4235 4579 4922 1.5265 1.5607 5949 6291 1.6633 6974 73i5 7555 1.7996 8336 8676 9015 1.9354 1.9438 I. ,9691 2.oo3o o358 7.727412.0706 dep. I dif. lat Dist. 8 Dist. 9 dif. lat 9.0000 8.9999 9997 2 8.'" 9979 9960 9958 8.9945 9931 9914 9896 8.9892 8.9877 9855 9832 9807 8.9781 9753 9723 8.9658 9622 9585 8.9567 9547 8.9507 9465 9421 9376 8.9329 9280 9230 9178 8.9124 9069 8.9026 9011 8953 8.8892 883o 8766 8700 8.8533 8564 8493 8421 8.8346 8.8271 8193 8ii4 8.8o33 7951 7867 7781 8.7693 7604 75i3 7431 8.7327 8.73o3 723 1 7133 7034 8.6933 dep. dep. 0.0000 0393 0785 1178 0.1571 1963 2356 2748 o.3i4i 3533 3926 4Ji8 0.4416 0.4710 5l03 5494 5885 0.6378 6670 7061 7453 0.7844 8335 8626 0.8822 9017 0.9408 0.97 1. 01 88 0578 1.0968 1 358 X747 2 1 37 1.3526 2914 1.3206 33o3 3691 1.4079 4467 4854 5241 1.5628 6oi5 64oi 6787 1.7173 1.7558 7943 8338 1. 871 2 9096 9480 1.9863 3.0346 0638 1010 1393 3.177376° 2.1868 21 54^ 45' 25341 3o' 2914J i5 2.329475° Coarse deg. 90° 45' 3o' i5' 89° 45 3o' 1 5' 88° 45' 3o' 1 5' 87° 45' 3o 1 5' 86° 45 3o' 1 5' 80° 45 3o' 1 5' 84° 45 3o' i5' 830 45 3o' 1 5' 82« 45' 3o' i5' 81° 45 3o' i5 80° 45 3o' 1 5' 79° 45 3o' 1 5 r78° 45 3o' i5 770 45' 3o i5 points 8 7l 74 7l »l 61 dif. lat.| deg. |poiot8 Dist. 9 Course 826 TRAVERSE TABLE. Course po 95372 95340' 0.29237 1.93185 92957 92726 92491 1.92252 92010 91764 9i5i4 dep. 0.51764 52606 53448 54288 0.55127 DiKt. 3 568o3 57639 liif. Int. j dftp, 2.89778'o.77646 29654 3i»7 1 3o48C 0.95 r 06 0.30902 94970 94H32 9469I 0.94553 9i:io9| 3t3i6 3 1730 32144 |0'»J2337 31969 94>64j 3338 1 0.941540.33689 941' 8} 33792 9i388b58o57 1.91261I0.58474 o .939690.34202 93819 34612 93667! 35o2i 935 i4i 35429 0-933580.35837 93201 93o4a 92881 0.92718 995541 36244 3665o 37o56 0.37461 37865 0.923880.38268 92a2o| 38671' 0.920500. 39073 91879 39474 91700 39875 91 51 1 [ 40275 0.913550.40674 91176! 41072 90996 41469 90814 4 1 86(1 0.90631 0.4226a 9r>446| 42657 0.903990.42756 90259 43o5i 90070 43445 0.898790.43837 i5' 30^ 45' i5' 45' 30° points def. 89687 8949I 892'98 o 89101 88902 88701 8849Q 0,88295 0.88192 88089 87882 87673 0.87462 87250 87036 86820 o.866o3j0.5booo deph Idif. lat. 44229 44620 45oio 045399 45787 46175 4656 1 0.46947 0.47 ! 4o 47332 47716 48099 0.4848 1 48862 49242 49622 0ist. 1 9i(H>4 90743 90479 i.9021 1 89940 89665 89386 [■89104 88818 885^8 1 .88309 88235 1 .87939 87638 87334 87027 1.86716 864oa 86084 85762 1.85437 85io8 .84776 8444^ I.84IOI 83758 83412 83o62 1.82709 8a35a 81992 81629 1 .8 1 262 80891 1 .8079S 8o5i7 8oi4o 1.79750 79375 78987 78596 1. 78 20 1 77803 77402 76998 1.76590 1-76384 76178 75763 75345 1 .74924 74499 74071 7364o 1.73205 59308 6<)i4i 60973 o.6i8o3 69633 6346 64288 o.65i 1 4 65933 6676 0.67378 67583 o.684o4 69223 7004 1 708 58 0.71674 72488 733oo 74111 0.7492 1 7573(^ C.76537 77342 0.78146 78949 79750 80549 0.81347 82144 82939 83732 0.84524 851i4 o.855ti 86102 86889 0.87674 88458 89240 90020 0.9079*^ 91575 92350 93123 0.93894 0-94279 94664 95432 96198 0.96902 97734 98485 0.99343 89436 89089 88737 2.88379 8801 5 87646 87271 2. 87082 a. 8689 865o6 861 15 85719 2.853 1 7 84910 84497 84079 2.83656 83227 82792 82463 ^ dsp. dif. lat Dtst. 2 82353 .8i9(^ 81457 8KI02 8o54i 2.80074 796* )2 79125 78643 2.78155 77662 2.77164 76660 2.76151 75637 75118 74593 2.74064 7352 7298. 72443 2.71802 71337 2.71 197 70776 70209 2.69638 69069 68480 67894 2.67302 66705 66io3 65496 2.64884 2.64576 64267 63645 63oi8 2.62386 61749 61107 60460 i.oooooa.59808 dep. 7»9«9 80172 81432 0.8269 83949 852o5 86459 0.87085 0.87712 88962 9021a 9145^ 0.9970 93949 95r9i 96432 0.97670 0.98907 1. 001 49 l.oif)67 ot375 1.09606 o3835 o5o62 06287 1.07510 08731 09950 II 167 1.12382 13595 i.t48o5 i6oi3 1.17219 18423 19625 20824 1. 2202 1 23216 a44o8 a5S 1.26785 27971 1.28267 29153 3o334 i.3i5ti 3268- 33859 35o3o 1.36197 37369 38595 39684 1.4084 1 i.4i4i9 41996 43i48 44297 1 .45443 46586 47727 48865 i.Soooo Ditt. 4 dif. lat. { dep 3.86370 1.03528 dif. lat Dist. 3 85915 85452 84982 3.845o5 84020 83528 83o29 3.82776 3.83529 82008 81487 80958 3.8o4a3 79880 79329 78772 3.78207 77636 77057 3.766 r 8 76470 3.75877 75277 74669 74o54 3.73439 72803 72167 71524 3.70874 70216 3.69559 68880 3.68902 67516 6682i 66125 3.654i8 64705 63985 63957 3.62593 61789 3.61596 6io34 60279 3.59518 58749 57974 57199 3.564o3 55607 54804 53995 3.53179 3.52769 52356 5i527 50691 3.49848 48998 48 1 42 47280 3.46410 Coarse deg. i points 750 45' 3o' i5' 45' 3o' i5' 05212 06895 08576 I.I0255 1 1932 i36o6 1 5279 i.i6ri4 1.16949 18617 20282 21946 1.23607 25966 26922 28576 1.30227 31876 33593 1.34756 35167 i.368o8 38447 4oo83 41716 1 .43347 44975 46600 48223 1.49843 51459 1.53073 54684 1.56999 5-898 595001 6if)99 1 .62695 64>88 65877 67464 i .69047 70627 1.71022 72204 3o' 73778 I 5' 1.75348 64° 769t5 45' 78479 3o' 73° 45' 3o' i5' 72° 45' 3o' i5' 71° 45' 3o' i5' 70° 45' 3o' i5' 6.P 45' 3o' i5' 68° 45' 3o' i5' 67° 45' 3o' 1 5' 66° 45' 3o' 1 5' 65° 45' dep. 80039 1.81596 83i5o 84699 86246 1.87789 1.88559 89328 90864 99396 £.93924 95448 96969 1.98487 2.00000 dif. lat. Dist. 4 i5' 63° 45' 3o' i5' 62° 45' 3o' i5' 61° 45' 3o' i5' 60° 6h 6i Course PO'i'tS j deg^ a 15^ i5 3o' 45 16° i5 3o 45' Dtat. 5 TRAVERSE TABLE. dii: lat. 4.8206 I| 51 ^ H deg. (points 2^ 17° i5 3o 45' 18° i5' 3o' 45' 19° i5' 3o' 45 20° i5 3o 45 21° i5' 3o' 45' 22° i5 3o 45 23° i5' 3o' 45' 24° 1 5' 3o' 45 25° i5 3o 45 26° i5 3o' 45' 27° 1 5' 3o' 45' 2S° , i5' 3o' 45' 29^ i5' 3o' 45 30° I points de?. Courae | Course 82J9 8182 8123 4.8063 8002 7941 7879 4.7847 4.7815 775 1 7686 7620 4-7553 7485 74i6 7347 4-7-i76 7204 71 32 4.7077 7059 4.6985 6910 6834 6757 4.6679 6G00 6591 644o 4.6359 6277 4.6194 6110 46025 5940 5853 5766 4.5677 5588 5498 5407 4.53i5 5223 4.5199 5 1 29 5o35 44940 4844 4747 4649 4.4550 445i 435 1 4249 |4.4i47 14.4096 4o45 39ii 3836 4.3731 3625 35i8 3410 4.33oij dep. I dep. I. 294 I 3i52 3362 3572 1.3782 3991 4201 44io 1.4514 .4619 4827 5o35 5243 .545 1 5658 5865 6072 .6278 6485 6690 1.6844 6896 1.7101 73o6 75 10 7715 I. 7918 8129 8325 8528 i.8730 8932 Dist. 6 327 i dep. 1.5529 5782 6o34 6286 1.6538 6790 7041 7292 1.7417 1.7542 7792 8042 8292 .8541 8700 9o38 9286 5.673111.9534 6645JI.9781 6558| 2.0028 5.6493 2.02 1 3 Dist. 7 dif. kt 6471 5.6382 6291 6200 6108 0275 2.052I 0767 IOI2 1257 6.7615 7535 7454 7372 6.7288 7203 7117 7o3o 6.6986 ".6941 685 1 6760 6668 6.6574 6479 6383 6285 6.6186 6086 5985 6.5908 5882 6.5778 5673 5567 5459 dep. 5920 5825 5729 .5631 553a 1.9134 9336 1.9537 9737 1,9937 2.0137 2.0337 o536 0735 0933 2.1 i3i i328 2.1378 1526 1722' 5.5433 5332 5.523o 5i27 5o24 4919 5.48 1 3 4706 4598 4489 5.4378 4267 .4239 4i55 4o42 2.191915.3928 38i9 3696 3579 2114 23ro 25o5 2.2700 2894 3087 3281 2.3474 2.3570 3666 3858 4049 2.4240 443 1 4621 4811 5-6oi5 2. 1 5026.535 5920 1746 5241 1 990 5 1 29 2233 5oi7 2.24766.4903 2719 4788 2.2961 6.4672 32o3 4554 2.34446.4435 3685 43 1 5 3925 4194 4 1 65 4072 2.4404 6.3948 4643 3823 4882 3697 5 120 3570 .5357 6.3442 5594 33 1 2 .5653 6.3279 583t 3i8i 6067 3o49 2.63o2 6.29r6 6537 2781 6779 2645 7006 2509 2370 223l 2091 49 5.3460 2,7239 334 1 3221 3099 5.2977 5.2915 2853 2729 2604 5.2477 235o 2221 2092 7479 77o5 7937 2.8168 2.8284 8399 863o 8859 2.9089 9317 1 6.! 1.8117 84i2 8707 9001 1.9295 9588 1.9881 2.0 r 74 2.o32o 2.0466 0758 1049 i34i 2.i63i 1921 2211 aSoi 2.2790 3o7« 3366 2.3582 3654 2.3941 4228 45i5 4800 2.5o86 5371 5655 5939 2.6222 65oS 2.6788 7070 2.7351 7632 7912 8192 2.8472 8750 9029 9306 2.9583 9860 2.9929 3.oi36 o4i 3.0686 0960 1234 i5o7 1779! 2o5i 239.2 2593 Dist. 8 dif. lat. 7.7274 Dist. 5 3.299B 3i32 3401 3669 3.3937 , , 42o3l 95451 0925 44701 ^ , , 2.97731 0774I 4735 2^5oooj5 . 1 962 j 3.{x)oo|6o62 2, 3 . 5ooo dif. Iit.l dep. I dif. lat.j dep. | diflat 6.1734 1662 i5i7 1371 !6.1223 1075 •061 3. 2863 7183 7090 6996 7.6901 6804 6706 6606 7-6555 7.65o4 64o2 6297 6192 7.6085 5976 5866 5754 7.5641 5527 54ii 7-5324 5294 7.5r-'5 5o55 4934 48ii 7.4686 456 r 4433 43o5 7.4175 4o43 7.3910 3776 7.364o 35o3 3365 3225 3o84 2941 2797 265 1 7.25o5 2356 7.2319 2207 2o56 7.1904 1750 1595 i438 7.1281 1121 0961 0799 7.0636 7.0554 0471 o3o5 7.0x38 dep. 2.0706 1042 1379 170 2.2o5l 2386 2721 3o56 2.3223 2.3390 3723 4o56 4389 ■4721 5o53 5384 5715 2.6045 6375 6705 2.6951 7o33 2.7362 7689 8017 8343 2.8669 8995 9320 9645 •9969 3.0292 3.061 5 0937 3.1258 i58o 1900 2220 2539 2858 3i75 3493 3.3809 4i25 3.4204 4441 4756 3-5o7o 5383 5696 6008 3.6319 663o 6940 7249 3.7558 3.7712 7866 8173 8479 Dist. 9 Course dif. lat 8.6933 683l 6727 6621 8.65 14 64o4 6294 6181 8.6125 8.6067 5952 5835 5716 8.5595 5473 5349 5224 8.5097 4968 4838 dep. I deg. 1 points 3294 75° 45' 3o' i5' 74° 45' 3o' 1 5' .3673 4o5i 443o 2.4807 5i85 556i 5938 2.6126 2. 63 1 3 73° 6689 45 7064 3o' 7438 1 5' 2.781272° 8.4739 8i85 8557 8930 2.9301 2.9672 3.0043 4706 8.4572 4437 43oo 4162 8.4022 388 1 3738 3593 8.3447 3299 8.3i49'3.4449 2998 1 48o4 8.2845:3.5166 3.o32o o4i3 3.0782 ii5i i5i9 1886 3.2253 2619 2985 335o 3.3715 4078 6i 2691 2535 2378 2219 2059 1897 1733 8.1568 i4oi 8.1359 1233 io63 8.0891 5527 5887 6247 3.6606 6965 7J22 7679 3.8o36 8391 3.8480 8746 9100 3.9453 07!9|3 9806 05444.01 58 %i o368 8 Dist. 6 Di.st. 7 6.99703.8785 9800 9090 9628 9394 9456 3.9697 6.9282 4.0000 dep. dif. lat. Dist. 8 0191 8.0012 7-9831 9649 7-9465 79373 9280 9094 8905 7-8716 8525 8332 81 38 7-7942 dep. o5o9 4.0859 1209 1 557 1905 4.2259 4.2426 2599 2944 3289 4-36331 3976 43 > 81 4659 4.5ooo dif. lat Dist. 9 i I aw .nainta dSg TRAVERSE TABLE. a| ■ ' I 31 I I, J<| I 31 Ipoiiit^ dflf. 30^ 3(y 45' i5' 30* 45* 1 5' 3o' 45' 1 5' 3i 78532 78261 77988 0.55919 56280 56641 57000 0.57358 57715 58070 58425 0.58779 59r3i 59482 0.59570 59S32 oA>i82 60529 60876 61223 0.61 566 61909 6225l 62592 ly 3o' 45' 43^ 1 5' 30' 45' 440 1 5' 3o' 45' 450* OV7771 5 0.62932 77439I 63271 0,77301,0.63430 77163 636o8 76884 63944 0.7660410.64279 ■76323:| 64612 ■76041 75 IT 56 0.75471 75»84 ■74896 74606 6^9-45 65276 o.656f»6 65935 66262 66588 0.743 140.669 1 3 0.740950.67156 74o22 73728 73432 67237 67559 67880 0.731 35 0.68200 72837 6S5i8 72537 68835 72236 69151 0.71934JO.69466 7i63oj 69779 7i325| 70091 71019 70401 0.7071110.70711 Cmrm d«p I dif lat. Diet. 1 1 .73205 72767 73326 71881 1.71546 J. 71433 7098a 70528 70070 1.69610 69146 68678 68208 1 .67734 67257 66777 1 .66294 i.658o8 653 18 64835 64329 1 .6383o 63328 62823 623i5 f.6i8o3 61289 dorjji 1.60642 6025 1 1 .59727 59200 58&7I 58i38 1.57609 57063 56522 55977 1 .55429 54879 .54602 54325 53768 1.53209 52646 52081 5r5i3 t .50942 5o36tt 49791 49211 1 .48629 I. 48 I 90 48044 47455 46865 .46271 45674 45075 44473 1.43868 4326a 42650 42037 i4t42i dep. Dist. 3 (tif. lat. 1.00000 00755 oi5o8 02259 1.02821 I.o3oo8 03755 o45oo 05243 1.05984 06723 07460 08195 1.08928 09659 io387 1.11114 1.11839 i256i 1 328 1 13999 1.14715 15429 i6i4i 168 5o 1. 1 7557 18262I 18965 1.19140 19665 1.20363 2 1059 21752 22443 1. 23 1 32 23819 245o3 a5i85 1.25864 26541 1.26879 37516 37888 1.28558 29225 39690 3(»552 I.3l2l2 31869 .32524 33176 .59608 50151 58489 57832 2.57319 2.571 5rj 56474 55792 55io6 .54414 53718 53oi7 523l2 2.5i6oi 5o886 5oi66 ^49441 2.48711 47977 47238 46494 2.457^i6 44992 44235 43472 2.42705 4 1933 dep. l.Sooorj 5ii32 52262 53388 1. 5423 1 1. 545 II 55632 56750 57864 Dist. 4 dif. iat. 1.589763.39219 60084 61 190 62292 1 .63392 64488 65581 1.66671 1.67758 68841 69922 3.464 10 45534 44652 43763 3.43091 3.42867 41965 4io56 4ot4i 38291 373^7 364i6 3.35468 345 1 4 33554 3.32588 3.3i6i5 3o636 29650 dep. Coara* deg. 70999 28659 1.72073 3.27661 73 I 44 26657 74211 25646 75275 2463o 1 .76336 3.23607 4n57 2.40963 40376 388oi 38oo6 37207 2^64o3 35595 34782 33965 2. 33 1 44 323i8 2.3190? 3i487 3o653 2-29813 28970 28122 27269 2.26413 25552 24687 238l7 .33836'2. 22943 1 .343i 2 34473 35ii8 35760 37037 37671 383o3 i.38o32 39558 40189 4o8()3 1.41421 2.22285 22065 aii&3 30297 I.36400 2.19406 dep. dir. Int. Dmt. 'I i85 17612 16709 2.l5802 14891 1 3975 i3o56 2.l2l32 77393 78447 1.78710 79497 iJio545 8 1 588 82628 836651 1.84698 857?8 86754 87777 r .88796 8981a 1.90318 90823 91832 1.92836 93837 94834 9582R 1.96818 97804 98786 1 .99764 2.0073g 2.ot468 01710 02677 o364o 2.04600 05555 o65o6 07454 2.08 39R 09337 10273 1 1 204 2.12l3? 22578 21543 3.21283 30502 3.19454 r84()i 17341 16276 3.i53o4 14127 i3o43 11954 3. 1 08 58 09757 3.00204 o865o 07537 3.06418 05293 o4r62 o3o26 3.01884 3.007 36 2.99582 9S423 2.97258 2.O0fKX) oi5io o3oi5 04517 3.o564» 3.o6oi5 07509 08999 10486 2.11968 1 3446 14920 16J90 2.17856 19317 20775 2.22228 2.23677 35l22 26562 27999 2,29431 3o858 32281 33700 235ii4 36524 60" 45' 3o' 1 5' 37929 2.3828( 39330 240726 42118 435o5 44887 2.46265 47638 49006 5o369 2>5l728 53082 2.53757 54431 55776 2.571 15 5845o 59779 61104 2.62424 63738 65o4« 66353 2 67652 50^ 45' 3o' 1 5' 56° 45' 3o' i5' 5170 45' 3o' i5' 56P 45' 3o' i5' 55° 45' 3of i5f 54° 45^ 3of 2.961802.68624 dep. dif. lat. Dial. 3 96087 94911 93729 2.92541 91348 901.50 88946 2.87736 86521 853oo 84074 i5' 53° 45' 3o' i5' 52° 45' 3ky ly 51° 45f 3o' ly 50° 45' 3o' iS' l!F 45' 3b' 15* 48° 68947 7»>2 36 71 52 2.72799 74073 75343 76605 2.77863 791 16 8o364 81606 2.82843 2.82843 dep. dif, lat. Disr. 4 45' 3o' i5' 47° 45' 3o' 1 5' 46° 45' 3o' i5' 45° deg. poiiTt* p«Nnta 5i 41 4i 41 Counte Course pointaj deg. 30°~ 2| V Dist. 5 TRAVERSE TABLE. dep. dif. lat. I Diet. 6 Dist. 7 Dist. 8 2970 .._ 4.28862.5705 4.2858 2,5752 2.5ooo 5189 i83o 5377 1698 5565 1 564 5.1464 *^:!ll}^ ■ '*"P- i ^*f- ^'^t- «^eP- Ji£Jat.) dep. ("de^ 5.1962,3.0000 6.062a 3.50006.9282 4.0000 7^794lte5w^60° In.inl noonl nXf^l Knfiii ^. — _o__ .w .-.,,1 2746 2632 25i8 4- 2402 2286 2170 2o52 4.1934 1814 1694 4.1573 4.1452 1329 1206 1082 4-0953 o832 0706 0579 4o45i 0322 0193 4.0160 4.0063 3.9932 9800 9668 9534 3.9401 9266 9i3o ^8994 3.8857 8720 3.8651 858 1 8442 3.83o2 8162 8020 5939 612! 63ii 2.6496 6681 6865 7049 2.7232 74i5 7597 2-7779 2.7960 8i4o 83 20 85oo 2.8679 8857 9035 9212 2.9389 9565 9741 2.9785 2.9916 3.0091 0265 o438 0611 3.0783 0955 1 1 26 1296 3.1466 1 635 0226] 0452 0678 3.0846 5.1430J3.0902 1295 ii58 1021 5.0883 0744 060 3 0462 5.o32o 0177 5. 00 3 3 4.9888 4.974? 9595 9448 9299 •9149 S998 8847 8694 4-8541 8387 8231 4.8192 8075 4.7918 7760 7601 7441 4.7281 7119 6956 6793 46629 6464 pointp Course 7878 3.7735 7592 7448 73o3 3.7157 3.7048 7011 6864 6716 3.6568 6419 6269 6n8 3.5967 58i5 5663 5509 3.5355 3.1720 46381 i8o4 6297 1972I 61 3 1 3.21394.5963 23o6 3472 2638 3.2803 2967 3i3i 3294 3.3457 3.3578 36i8 3780 3940 3.4100 4259 44i8 4576 3,4733 4890 5o45 5201 3.5355 5794 5624 5454 4-5283 5iio 4937 dif, lat. Dist. 5 4763 4-4589 4.4457 44i3 4237 4o59 4-3881 3702 3522 3342 4-3 160 2978 2795 261 1 4.2426 dep. 1126 i35o 1573 3.1795 2017 2238 2458 3.2678 2898 3ii6 3.3334 3.3552 3768 3984 4200 3.44 1 5 4629 4842 5o55 3.5267 5479 5689 3.5742 5899 J.0109 63i8 6526 6733 3.6940 7146 735i 7555 3.7759 7962 3.8064 8i65 8366 3.8567 8767 8967 9166 3.9364 9561 9757 3.9953 4.0148 4.0294 0342 o535 0728 4.0920 nil i3or 1491 4.1680 1867 2o55 2241 4.2426 difkt. 0468 1 5264 o3i4 5528 oi58f 5791 .,__ 6.0041 3.5987 6.8618 6.0002 "" "^ " 9107 8930 8753 Dist. ^ Course 3.6053 6.8573.4.1203 l502 63i4 6575 6835 3.7094 7353 7611 7868 3.8125 838i 8636 3.8890 "•9'44 9396 9648 3.9900 4.oi5o o4oo 0649 0897 4.1x45 i3 8393 8211 8028 6.7844 7658 7283 6.7094 6903 1 671 1 1 638 4.1699 i883 4.2127 2371 26x3 2855 4.3096 3337 3576 38i5 4.4052 4289 4-44o8 4525 4761 4.4995 5229 5461 5693, 4.5924 61 54 6383 66i2 4.6839 4.7009 7066 7291 75x6 4.7740 7963 8x85 84o6 4.8626 8845 9064 928 T 4.9497 6.65 1 8 6.6323 6127 5930 5732 6.5532 533i 5x29 4926 6.4721 45i6 4309 6.4257 4ioo 6.3891 368o 3468 3255 6.3o4x 2825 2609 2391 6.2x72 1951 6.i84x 1730 i5o7 6.1284 X059 o832 1800 2097 4.2394 2689 2984 3278 4.3571 3863 4x55 o3o2 7745 5340J o6o3 7547 5678 0903 7347 6016 4.1 128 7.7196 4.6269 7.71454.6353 6942 6690 6738 7025 6532 7359 7.63244.7693 6116 8025 5905 8357 5694 8688 7.54804.9018 4MA^ 4.4735 5o24 53i2 56oo 4.5886 6172 64561 5266 5o5o 7-4832 7.4613 4393 4171 3948 7-hM 3498 3270 o6o5 Dist. 6 dep. Dist. 6.0377 6.0x47 5.9916 9685 5.9452 5.9276 9217 8982 8746 5.85o8 8270 8o3o 7789 5.7547 73o4 5823 7060 6073 68x5' 6321 5.6569 5.6569 6740! 3o42 4-7023[7.28i2 73o5 258o 7586 2347 7.2289 21X3 7-1877 i64o i4o2 1162 7092 1 0679 0435 70190 6.9943 9695 6.957 9446 ^9'96 6.8944 8691 8437 8181 6.7924 7066 7406 7145 6.6883 6.6686 6620 6355 6089 6.5822 5553 5284 5oi3 4.9674 5.0001 5.0327 o652 0977 i3oo 5.1622 1943 2263 2582 5.290 32x8 3534 5.36x3 3849 5.4x63 530 i5' 41 4h 4i dif. lat. Dist. 8 dif. lat. Dist. 9 deg. jpoin tel Course f dM "..- lEimOIIAL PAHTS. I 3 4 6 7 8 ._? lO 11 1 5 i6 17 iB 19 20 31 a 3 94 • \j 26 37 38 3o 3 1 33 34 37 4o 4i 4? 43 44 45 46 47 49 5o S3 54 cr t > S7 ..'>8 59 60 Lotttnilo. fP I O'.O a.o 3.0 4.0 5.0 9.0' 1 0.0 1 1 •€) 1 7 .a 1 3..c> i4-oi i5.o' 16.0 17.0 i8.0' 19.0 20.0 •ml 1 *\f 22.0 2 3.0 a4.o 6 a.o 63.0 64.0 65 .0 66.0 67.0 OOtO 8*> I *il'Cf'.i«Cl' 1 23..0 i'a4.o i.a7.0' raS.o 30 I 40 , 50 69.0! r 99.0 ■ <.o 7i.di3i.o 7a. o i3a.o 73.0 i33.o 74.0 1 34.0 J'nJPiilLir 76.0 77.0 78-0 79,0 aS.o 26.0 37.0 39. f 80.0 81.0 8a. o 83. o 84.0 85.0 86.0 1 35.0 I.36.0 137.0 i38.o 1 39.0 i4o.o i4f.o 143..0 143.0 1 44.0 180.1 181. 1 183. 1 i83.i 184. t 1 85. 1 186.1 1 87- 1 188. 1 189.1 a4o.a 300.4 a4i.a 3oi.4 343.2 3o3.4 3o3.4 3o4.4 a45.3[3o5.4 246.3 3o6.4 190.1 191. 1 193.1 193. 1 1 94. 1 195.1 196.1 197.1 198.1 1 99. 1 87.0 88.0 r45.o 146.0 i47-o 148.0 '149.0 3o'.o Si .0 3a.o 33.0 34.0' 35.0 36.0 3-T.(> J'U'O 39.0 y..'.w, iSo.O 91.0 1 5 1.0 f2.o fSa.o 9l.o'i53.i 94-oJ]54.i aoo.i 301.1 aoa.i 3o3.1 204. 1 347.3 a48.a 349.2 25o.3 3 Si. 7 307.4 3o8.4 309,4 3 1 0.4 3 11 -4 25a.2!3r3.4 2 53. 2| 3 1 3.4 254.3 3 14.4 255.3 3 1 5.4 356.3 3i6.4 257.2 258.2 259.2 317..5 3i8.5 319.5 95.0 96. c 260.3 3 20. 5 261.3321.5 363.3 332.5 263.3 323.5 264.3 324.5 2o5.i}265.3 325.5 2f»6.ra66.3'326.5 207. 1 '^Ti-. 3, 337.5 208.1 363.3,1 328. 5 2<:)9 1 269.31339.5 270.3 33o.5 4o.( 1 4i'0 42.0,i 43.oj| .44.0 i55.i 1 56.1 97-"; '5?. I ■98.0; 1 58. 1 •9 1 i8.o| 119.0 1 20.0'' '.I I bih I 167. 1 r68.i 169.1 170. r I7I..I I7:>.I 173.1 174.1 1 77. 1 1 78. 1 179-1 1 80. 1 375.3335.5 376.3316.5 277.3337.5 278.3)338.5 279.3 339.6 a 20. 2 1 280.3 j 340.6 22i.2J28i.3!34i.6 •iC •<€ jC * HiC 2343. 226.2 227.2 382.3^'342.6 383.3|343.6 284.31344.6 3I8 5:3, 34576 286.3,1 346.6 287-3:347.6 228.2288.3348.6 229.3,289.3 349.6 23o.a[39o.3i35o.6 23 1. 3 291.3.351.6 332.3 292.4,353.6 333.2 293.4353.6 234.2 294.4:354 6 235.21295.4,355.6 3 36. 2 1 296.4' 356.6 al". 2^ 297.4,357.6 238.21298.43^.6 239.2 299.41359.7 240.2 3oo.4' 360.7 GO 3f)o.7 361.7 •7 363-7 .364.7 365.7 366.7 367.7 368.7 369,7 370.7 371,7 373,7 373.7 374.7 375.7 376.8 377.8 378.8 379.8 38078 381.8 38a.8 383.8 384.8 385.8 386.8 ,387.8 388.8 389.8 390.8 391.8 393.9 393.9 394.9 395.9 396.9 397.9 398.9 -^99-9 400.9 401.9 402.9 403.9 4o4-9 405.9 406.9 4o8.o 409.0 4 10.0 4i 1 -o 4i3.o 4 1 3.0 414.0 4 1 5.0 416.0 417.0 4 1 8.0 419.0 430.0 42 1 .0 70 , go , 90 42i.t>48r.6 543.2 422. 1 {483.6 543.3 433.1 434.1 435.1 436.1 437.1 428.1 429. 1 43o.i 43i.i 43a. 1 433.1 434. 1 435.3 436.2 437.2 438.2 439.2 483.6 484.6 485.6 48676 487.6 488.6 489.6 490.7 544-3 545.3 546.3 491.7 492.7 493.7 494.7 495.7 49677 497-7 498.7 499.8 547.3 548.3 549.3 55o.3 55i.3 100 no 664.1 665.1 666.1 667.1 668.2 5524 553.4 554.4 556.4 557.4 559.5 56o.5 440.2 5oo.8l56i.5 44 1. 3 55.i 606.1 607.1 608.1 609.2 610.2 611.2 612.2 6i3.a 614.2 61 5.3 616.3 617.3 618.3679,4 619.3^)80,4 630.3681.4 621.4683.4 622,4683.5 623T4 68475 634.4685.5 635.4 12» 726.3 727.4 728.4 7294 674.3 675.3 676.3 677.3 678.4 446-3j5o6 447.3 5o7 5o8 509 5io 448.3 449-3 45o-3 45i.3 pii 45 3. 3} 5 1 2 453.3 5 1 3 454.3 45673: 457.3 5i4 5i5 5 16' 5 17 458.4519 459.4J520, 46o.4i52i, 8 567.6 8,568.6 8| 569.6 .91570.6 •91 573.6 .9' 573.6 91574.7 .9| 575.7 9 576.7 577.7 578,7 579.7 580.7 58 1. 8 730.4 73 1. 5 732.5 733.5 734.5 735.5 736.6 737.6 738.6 739.6 740.7 741.7 742.7 743.7 744.8 74578 746.8 686.5747.8 687.5 748.9 688.6749.9 o 585-8 586 8 46 1. 4i 5 2 3.0 582,8 462.4|'523.o 583,8 463.4, 524,0 584.8 464.4i525.o 465.4536.0 466.4 537. 467.4,528. 468.4|539. 469.5|53o, 470.5, 53 1. 626.4 637.5 628.5 689.6J7.50.9 639.5690,61751.9 630.5691 .61752.9 631.5693 -6! 7 54.0 633.5693.7.755.0 633.6 694,7 756,o 6346 695.7 757.0 635.6|696.7 758.1 636.61697.7 759,1 637.6698,81760.1 63876 639.7 640,7701^763.2 641.7702.8764.2 642.7 703.9 765.3 471.5533, 472.5i533. 473.5; 534. 474. 5| 535. 475.5 536. 587.8 588.9 589.9 11590.9 I 591.9 I 593,9 1 1 593.9 1 594.9 I 596,0 21597.0 3 598,0 2) 599.0 2,600.0 476.5,537 477-51538 478.5I539. 479.5|54o.2j6oi.o 480.6 54i. 2,603. 1 481.6 543.2603.1 643.7 644.7 645.8 646.8 6478 «^8 649.8 65o.9 65 r. 9 652.9 65379 654-9 655.9 657.0 658.0 659.0 660.0 661.0 662.1 663.1 664.1 699.81761.1 700.8 763.3 701 J 703.8 703.9 704.9 705.9 708.0 709.0 10.0 711.0 712.0 713.1 714.1 766.3 . , 767.3 706.9768.3 769.3 770.4 7i5.i 716.1 17.1 718.3 719.2 771-4 772.4 773-4 774-5 775.5 776.5 777.5 778.6 779-6 7806 781.6 720.2 721.3J782.7 723.31783.7 723.3 784.7 734.3785.8 725.3786.8 o 1 2 3 4 5 6 7 8 _? 10 II 13 i3 lA i5 16 17 18 21 30 21 22 23 U a5 26 27 28 i9 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 44 45 46 47 48 49 5o 5i 52 53 54 5"5 56 57 58 60 MERIDIONAL PARTS, a3i Latitude. 130 140 J 150 10 1 1 13 1 3 14 i5 16 n 18 •9 786.8 848.5 787.8I849.5 788 8j85(».5 789.9851.6 790.9J852.6 791.91853.6 793.9'854-7 794.0 855-7 795.0 796.0 856.7 857-8 79«.» 799.1 8(Xi. I 20 21 22 23 24 25 26 27 28 29 ■30 3i 33 33 34 35 36 37 38 ?1 4o 4« 4> 43 44 45 46 47 48 5o 5r 53 53 }4 55 56 57 58 59 60 797.0 858.8 859.8 8(>o.9 86 r. 9 80 1. 2 1 862. 9 803.3 864.0 8o3.2|8f)5.o 804.3,866.0 80 5. 3 '867.0 8o(v3|868.T 807.3 8(i9. 1 808.3870.1 809.4871.2 810.4 872.3 811.41873.3 8T375'874.3 813.5I875.3 814.5876.5 815.5:877.4 816^61878.4 81^6 818.6 819.7 879-4 880.5 881.5 820.7I882.5 821.7 822.7 833.8 883.6 88476 885.6 «34.8l886.7 825.8'887.7 826.9888.7 8377988978 838.9;89o.8 829.9'89i.8 83 1. 01892.9 951.9 953.0 954.0 955,1 8 32. oj 893^9' 956. 1 83To 8^9^.1 9ro.5 911.5 912.5 913.6 914.6 915.6 916.7 917.7 918.7 919.8 930.8 921.9 933.9 933.9 925.0 936.0 927.0 928.1 939.1 930. 1 931.2 933.3 933.3 934.3 93^3 936.4 937.4 938.4 939.5 940.5 94 1 -6 942.6 943.6 944.7 945.7 946.7 947-8 948.8 949.9 950.9 I60 972.7 973.8 974.8 975.8 976.9 977-9 979.0 980.0 98 1. 1 982.1 983.1 9S4.2 9S5.2 986.3 987-3 988.3 989.4 990.4 99 r. 5 993.5 ~9^5 994.6 995.6 996.7 997-7 998.8 999.8 1000.8 1001.9 1003.9 1004.0 ioo5.o 1006.1 1007. 1 1 008. 1 170 io35.3 io36.3 r 037,4 1 o38.4 1039.5 (o4o.5 io4i.6 1042.6 1043.7 r 044.7 I80 1098.3 1099.3 f 100.3 1101.4 1102.4 1045-8 1046.8 1047.9 1048.9 io5o.o loSr.o to53.o io53.i 1054.1 io55.3 io56.2 1057.3 co58.3 059.4 1060,4 iio3.5 1104.5 iio5.6 11 06.6 II 07.7 190 1 108.7 1109.8 1 1 10.8 1 11 1 .9 I 113.9 1 1 14.0 iii5.i I n 6. 1 11 17.2 n 18.2 f 161. 5 1162.5 1 163.6 1 164.7 1 165.7 1 166.8 1167.8 1168.9 1 1 70.0 1 1 71.0 1172. 1 1173.1 1 174.2 1 175.3 1176.3 20° 1225. 1 1236.2 1227.3 1238.3 1229.4 21° 133a 5 i23i.5 1232.6 1233.7 1334.7 S3ii R15.I 836.1 837.3 83873 839.2 901. 1 840.3 903,2 841.3903.2 842.3,904.3 896.0958.2 897.0959.3 898.0 960.2 961.3 962.3 963.4 964.4 965.4 1009.3 IO10.2 1011.3 1012.3 ioi3.4 1014.4 ioi5.5 1016.5 1017.5 1018.6 1061.5 T062.5 io63.6 1064,6 1065.7 1066.7 1067.8 1068.8 10699 1070.9 1119.3 1 120.3 1 121.4 1133.4 1133.5 1124.5 1 135.6 1126.6 IT 27.7 1138.8 1072.0 TO73.O 1074,1 1075. 1 1076.2 899J 900.1 843.3905.3 844.4I906.3 845.419^7-4 846.4i9o8.4 847.5:909.4 848.5I910.5 966.5 967.5 968.6 969.6 970.6 971-7 972.7 1019.6 1020.7 1021.7 1022.8 1023.8 1077.2 1078.3 1079.3 1080.4 1081.4 1I35.I ii36.i IT 3^. 2 ii38.2 1139.3 1024.9 1025.9 1026.9 1028.0 1029.0 io3o.i io3i.i io32.a io33.2 io34.3 io35.3 1083.5 1083.5 1084.6 1085.6 1086.7 1140.4 ii4i-4 1143.5 1143.5 1144.6 iT45^ 1146.7 1147.7 1 1 48.8 1149.9 1177.4 1178.4 1179.5 1180. 5 1181.6 1182.7 1 183.7 1184.8 1 1 85.8 1 186.9 1 188.0 1189.0 1190.1 1191.1 1 193.2 1193.3 1194.3 1195.4 1196.4 1197-5 TT^ 1 1 99.6 1 200.7 1201.8 1202.8 1235.8 1236.9 1337.9 1239.0 1 240.0 1 389,3 1290.3 1291.3 1293.4 1293.5 13946 1395.6 1296.7 1297.8 1298.8 22« 230 134l.l 1343.3 1243.3 1 344.3 1245 4 1346.4 1347-5 1248.6 1349.6 1250.7 1299.9 i3oi.o i3o3.i 1 3o3. 1 i3o4.3 i3o5.3 i3o6.4 r 307.4 1 3o8.5 1309.6 1418.6 1419.7 1430.8 1421.9 1423.0 1434.1 1 42 5.3 1426.3 1427.3 1438.4 i35i.8 1253.8 1353.9 1 355.0 I356.0 i3io.6 i3ii.7 t3i3.8 i3i3.9 i3i4.9 1357.1 1258.2 1259.3 1260.3 1261.4 1087.7 1088.8 1089.8 1090.9 109 1. 9 T093.0 1094.0 1095.1 1096.1 1097.2 1 1 50.9 ll52.0 11 53.0 It 54. 1 11 55.1 II 56.2 1 157.3 1158.3 1159.4 1160.4 1203.9 1204.9 1306.0 1307.1 1208.1 1309.2 1210.3 1211.3 1313,4 131 3.4 1363.5 1363.5 1 264 6 1 265.7 1266.7 1 3 16.0 l3l7.I i3i8.2 1319.2 i32o.3 1353.7 1354.8 1355.8 1356.9 i358.o 1359.1 i36o.2 i36i.2 i 362.3 1 363.4 1 364-5 1365.6 1 366.6 1367.7 1 368.8 1 369.9 1371.0 1372.0 1 373. 1 1 374.2 1375.3 1440.4 1376.411441.5 1377.4 1442.6 r4847i 1485.2 1486.2 1487.3 1488.4 1439.5 i43o.6 1 43 1. 7 1433.8 1433.9 1434.9 i436.o 1437-1 1438.3 1439.3 1489.5 1490.6 1491-7 1493.8 1493.9 i33i.4 l332.5 i333.5 1334.6 i335.7 I3i4.5 131 5.6 1316.6 1217.7 1218.8 1219,8 1220.9 1221.9 I333.0 1334-1 1367.8 1268.9 1269.9 1271.0 1272. 1 1273. 1 1274,2 1275.3 1 276.4 1277.4 1278,5 1279.6 1280.6 1281,7 1383.8 132.6.8 1337.8 1338.9 i33o.o i33i,r i333,i 1333.2 1334.3 1335.4 1336.4 i337.5 1 338.6 1339.7 1 340.8 1 341.8 1378.5 1379.6 1 380.7 i38i.8 1383.9 1383-9 1385.0 1 386.1 1.387.3 1388.3 1389.3 1390.4 1391.5 1392.6 1393.7 1394.8 1395.8 1396.9 i398.r 1399.1 1400.2 i4oi.3 1443.7 1444-7 1495.0 1496. 1 1497-3 1498.3 1499-4 i5oo.5 i5oi.6 1 502.7 i5o3.8 1 504.9 o I 2 3 _4 5 6 7 8 9 10 1 1 12 i3 i4 i5 16 n 18 '9 1445 8 • 446.9 I448.0 1449.1 i45o.2 i45i.3 1452.4 1453.5 1454.6 1455.6 1456.7 1457.8 1458.9 1 460.0 i46i,i 1463.3 14633 1 534 i535,8 1 536,9 1528.0 1 529. 1 i464.4|i53o.3 1465.5 i53i.3 1466.6 1383.8 1 384.9 1286.0 1 287.1 1342.9 1344.0 1345.1 1346.1 1347.2 i4o2.3 i4o3.4 i4o4.5 i4o5.6 1406.7 1407.8 1408.9 1409.9 i4ii.o l4l2.1 1467.7 1468.7 1469 8 1470.9 1472.0 1473.1 1 532.4 1533.5 15346 1535.7 1536.8 1537.9 4o 4i 42 43 44 T 539.0 1474 2 J 540.1 1475.3 i54i-2 14764 1543.3 45 46 47 48 49 1 348.3 1349.4 i35o.4 i35i.5 1288.1 i352.6 1098.2I1161.5 I 1225.1J1389.311353.7 t4i3.2 i4r4-3 i4i5.4 i4i6.5 1417.5 i4i8.6 1477.5 14786 14797 1543.4 1544-5 1545.6 14808 1 546.- 1 48 1. 9 1 547.8 i483.o| 1548.9 1484.1 1 i55o.o 5o 5i 53 53 54 55 56 57 58 I 'Ii9 'w|H|||i B 'itPlMPPlii It: E m 1 D I O M A L PARTS, \ o I a 3 j4: 5 6 7 B m It jS i6 19 '93 a3 36 ^ 3o 3 1 33 33 34 35 36 % 4o 4i 43 44 45 .46 4? 48 49 So *»/ j| 53 .54 56 5? 58; 59 60 Lttiityde. 25« . «« 1 6 16.5 1618.7 a7» , 28« 1683.5 1 75 1. 2 1 61 7.6 1 684.6 1 75 ^ .3, 1 daoii 1685.81753,4 1 33<:>.:0 i55i.i i55a.3 i55:44J ifi2o.9| 1 688.0! 1 75i7 »0 1819.4 1831.7 1 61 9.8 1 686.9 1 754.6 1 83 2 .9 1556.6 1557.7 1,558.8 1559.9 »6a6.5 i56i.o i 563.1 1 563. a 1 564-4 1 565.5 F5661 i5<;)7,7 1627.6 1628.7 1629.8 f63o'.9 1 632,1 1 633.3 1634,3 1635.4 i5fS9,9( 1636.5 1637.6 1622.0 lo.Sy. 1I1756.8 1623.2 1690.3 1758.0 1624.3 1691 .4 1759.1 1635.4 ''692.511760,2 1693.6 1694.7 1:695.911763.6 i"697.o 1764.8 i'698,i 1765.9 1699.2 1767.0 1 574.3 1575,4 1 576.5 1577.6 1 578'.7 1579.8 1 580.9 i582.i 1639.9 17«>.4 1701.5 1703.6 1706. 824.0 1825.2 1826.3 1827.4 1838.6 1839,7 1830.9 i832.o 1833.2 1834.3 i %M'\Jf ,JI' a ijl 1768.3 1769.3 1770,4 1703.7 1771.6 1704.9 1773.7 n-lH 1 583.3 1 1 564-3 1 585.4 1586.5 I '587 .6 1 64 1,0 1708.3 1642.1 1 17*''9.4 1643.2 1 7 '1 0.5 1 644 -3 1 1^645.5 1646.6 i64''."' ' 1648.8 1649.9 r65i.o 1.652.3 1653.3 1654.4 1707,111775.0 1776.1 i"7'77.3 1305,7 1 589.8 1 590'.9 1 593.01 1658.9: 1593.1' "- 1778.4, 1779.5 1780.7 1781.8 1783.9 1784. 1 1 8,36.6 1837.8 1 8 18 .9 1840.0 1841.2 184373 1843,5 1844.6 1 845,8 1846.9 1785.3 1786.4 1787.5 1788.6 1789 8 •790-9 1792.0 i'655.5'i722.9 1 656.6 1734.0 1657.7 >735.:> 1-^93 2 ^ 1726.3J 1794.3 t66o,.of i737.4i 1795.5 1848.1 1849.3 i85o.4 i85i,5 1852.7 1853.8 i855.o 1856.1 1857.3 1858.4 1 8'59.6 1860.7 1 86 1. 9 i863,o '.2 i59,i3: 166 1. 1 I '728. 51 1796,6 1865.3 1 5954! 1663.3 1739.7 1 797.7 1866.5 1 ,596,5: 1 663.3 i7*>.8 1 798.9 1867.6 1 597.61 1664.5' 1 73 1 .9' 1 800.0 1,868 8 1 598.7 I 1 665.6 I -^ 3 3 . 1 j 1 80 1 . 3 1 1 869.9 1 599.8{ 1 •fi66~"T' 1 7~342 1 1^802.3 \ 1187TT1 I 'ft"'K"'>,9,i I fjfiT .8 i 1 7 35, 3' 1 8o3.4 j 1 872.3 i'6f'j->.o' 1659.0! 1736,5! 1804.6 1873.4 1603. 1 i 1670. 1, 1 1737.6: 1 805.7! 1 874.5 i6a4.2,i67i.3|n3S.- 1S06.9 i8'7'5.7 i'6o5jf 167x1 r7 39^8;i8(5ro\^'87678 i6o6,5. 1673,. i 1 7,4 1 .o! 1 809.211878.0 1607.6' 1674. 5, « 74:^. J 1 1 8 10.3 1879. J i6<')8.7: 1675,7! i743.2'i8n.4ji88o.3 1 609. 8 1 676.8 1 74 i. 1 1 8 1 2 .6 1 88 1 . 5 1; 1610,9 1 6"'7.9' 1745.5 1813.7,1883.6 161 2.0 1 5^9,0, 1746.6 1 814.9: T 883.8 161 3.1: 1680.2 1 747.8"' 181 6.0! 1884.9 i6t4.2 1681.3 174B.9 1817.2 1886,1 16 r 5.4 i683.4i i7:53.8 1965.0 1966.2 1967.4 1968.5 I 9^19.7 1970.9 1972.0 1973.3 1974.4 1975.5 1 •976.7 1977.9 1979.0 1 980 3 1981.4 1982.6 3P 2171.:) 2172.7 XfO 2 244-3 2245.5 2o3o.7 2101 .9 '? 1 73.9 2346.7 2o3i.9 2io,3.ij2i7:»j 2o33,i 2104.3 21 '76. 3 2o,34.3jaio5.5 2035.531067 3036 6 2107.9 2o„37.8 2109 I 2039.0 2110,3 2177.5 2178.7I 3 180.0 3o4o.a 3 o 209T.2 2092.4 2033.5,3093.6 3033.73094.8 3024.8 3096.0 30360 2097.1 '3027, 3 3,098.3 2028.42099.5 231 3.8 33l5.l 22i6.3j3289.6 2217.5 2290.9 2218,712392.1 331993393.3 3321. J 2294 5 2322.4 3295.8 3323.6 3397.0 3324-8 3398.3 3 1 59.4 31606 31618 2i63.o 2164.2 2165.5 2166.7 2167.9 2169.1 2226.0 2337.3 33384 2399.7 333o.9 2332 1 2234.5 22357 3237.0 2299.5 3,3007 33o 1 ,9 3304.4 3171.5 2238,3 3239.4 2340.6 324l.'8 2 3o5.6 3 3f)6.9 23o8. 1 2309.3 33 10.6 2170 3 2343 f 3344.3 33ii.8 23 1 3 o 23i4.3 23 1 5.5 23 1 6.8 33i8.o o I 3 3 4 "5 (» 7 8 -9 ic 11 13 i3 ]A §5 J 6 17 18 !9 30 31 33 33 34 35 36 27 38 *? 3o 3i 33 33 34 35 36 37 38 39 4o 4i 43 43 U, 45 46 47 48 49 5o 5i 53 53 54 55 56 57 58 59 60 MERIDIONAL PARTS 333 o 1 3 3 A 5 6 7 8 _? 10 1 1 13 i3 £4 i5 16 17 18 '9 30 21 22 23 a4 25 26 27 38 39 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 ^ 45 47 48 49 5o 5i 52 53 54 55 56 57 58 36° 33 18.0 3319.3 3 330.5 33ai.7 2322.9 2324.3 3325.4 2326.6 3337 9 3339.1 370 333o.4 333 1 6 2332.8 2334.1 2335.3 3336J5 2337.8 2339 o 2340.3 234 1, 5 2343.8 2 344-0 2345.3 2346.5 2 3-47-7 33490 235o.2 235i.5 3353.7 3353.g 2392.6 3393.9 2395,1 33964 2397.6 2398.9 2400. 1 240 1 .4 3402.7 3403.9 390 2468.3 2469.5 2470.8 2472.1 3473,3 24o5.2 2406.4 2407,7 3408.9 2410.2 241 1.4 2412.7 34i4.o 24l5.2 2416.5 24177 24190 3430,3 3421.5 2474.6 24759 2477-2 2478.4 2479-7 390 2544.9 2546.2 2547.5 3548 8 355o.i 2481 o 2482.2 24835 2484.8 2486.1 348773 2488 6 2489.9 2491.2 24924 2355,3 3356.4 2357.7 2358.9 236o.2 2361.4 3362.7 2363.9 2 365.1 33fi(i4 23676 3368-9 3370.1 2371.4 3373.6 3493.7 2495.0 2496.2 2497.5 2 422 8 : 2498.8 2424.o[25oo.r 2425.3,2501.4 3436 5 25o2.6 3427.8 25o3.9 2429.1 35o5.3 2430.3 2431.6 2432.8 2434 1 2435.4 2373,9 2375.1 3376.4 2377.6 2378.9 2436.6 2437.9 3439.1 2440.4 244 1 7 2443.9 2444 2 2445.5 3446.7 2448.0 25o6 5 2507.7 2509 o 25io.3 25ii.6 2551.4 2552.7 2553.9 2555 2 2556.5 2557.8 2559.1 2560.4 2561.7 2563.0 2564~3 2565.6 2566.8 2568.1 2569.4 2570.7 2572,0 2573.3 2574,6 2575.9 40O 262 2-7 2624.0 2625.3 2626.6 2627.9 3629.2 363o. 5 363 1. 8 2633.1 2634.5 3635.8 3637.1 2638.4 2639 7 2641.0 2642.3 2643.6 26449 2646.3 36.47.6 3577.3 3578.5 3579.8 358i.i 3583.4 3 38o.i 3381.4 2 382.6 2383.9 2385 1 2386.4 3387.6 2 388,9 _ 2390.1 ..,..,., 59 3391.4 2467.0 60 1 2392. 6' 2468.3 2449.3 345o 5 345 f. 8 2453.1 2454.3 24557) 2456.9 3458 1 2459.4 2460 7 2583.7 2585.0 3,586.3 2587.6 25889 2648-9 2650-2 265i.5 3652.8 2654 I 2655.4 2656.7 2658.1 2659.4 2660 7 3525.7 3536.9 353^3 2529.5 2 530.8 2532. T 2533.4 2534.6 2535.9 2537.2 2461.99538.5 2463,2 3539.8 3464. 5 254i.i 2465.7 2542.4 3543.6 2544.9 2590 2 3591.5 3592 7 2594.0 2595.3 2.596.6 2597.9 2.599.2 2600.5 2601.8 2603.1 2604.4 2605.7 3663.0 2663.3 2664.6 2665.9 2667.3 2668.6 2669.9 2671.2 2672 5 3673.8 2675.2 2676,5 3677.8 3679. ^ 3680.4 2681.8 2683.1 2684.4 2607 o 2685.7 1608.3 2609.7 261 !,0 2612 3 2613 6 3614.9 3687.0 2616.2 2617.5 2618.8 2620. 1 2621.4 2622.7 2688.4 2689.7 2691.0 2692.3 2693.7 2695.0 2696.3 2697.6 3698.9 3700.3 2701.6 Latitude. 41° 3701,6 3703.9 2704.2 2705.6 2706.9 2708.2 2709.6 2710,9 3712.2 2713.5 3714.9 3716.2 3717.5 3718.9 2720.2 2721.5 2723.8 2734.2 2725.5 27268 3738.3 2729.5 2730.8 3733.3 3733.5 37348 3736.3 2737,5 27388 2740 2 3741.5 2742.8 2744.2 2745 5 2746.8 2748,2 2749 5 2750.9 2752 2 2753.5 3754.9 2756.2 2757.5 2758.9 2760.2 2761.6 2762.9 2764 2 2765.6 27669 2^681 2769.6 2771.0 3772.3 2773.6 3775.0 3776.3 2777.7 3779.0 3780.4 2781.7 420 430 440 450 2781.7 2783.1 2784.4 2785.8 2787.1 ^^4 3789.8 3791. 1 2792.5 2793.8 2795.2 2796.5 2797.9 3799.2 28o(i.6 2863 1 2864.5 2945.8 2947.2 2865.8J 2948.6 2867.2129500 2868.6| 295i.4 2952.8 46° 3029.93115.5 3o3 1. 413 117.0 3o32.8 3o34.2 3o35.6 3ii84 31199 3121.3 2869.9 2871.3 3872.7 2874.0 2875.4 2876.8 2954 2955 6 3956.9 3958 3 2959.7 2801.9 2803..3 2804.6 2806.0 2807.3 2808.7 2810.0 281 1.4 2813.8 28 14. 1 ^8l575 2816.8 28182 2819.5 2820.9 2823.3 3833,6 2825.0 2826.3 2827.7 2878.212961 2879.5 2962.5 2880.9' 2963.9 ~ 2965.3 28823 2883.6 2885.0 2886.4 2887,8 2966.7 2968.1 2969.5 2970.9 2889.1 2972.3 2890.5I2973.7 2891.9I2975.1 2893 .1 2976.5 289462977. 2896 o!2979. 3o37.o 3o38.4 3o39 8 3122.7 3 1 34.2 3 125.6 3o4i.33i27.i 3042.7 3128.5 3o44-i|3i3o.o 3o45.5|3i3i.4 3046.9 3 1 32 9 3o48.4j3 134.3 3049.8 3 1 35.7 3o5i.2 3i37-2 3o52 6!3r38.6 3o54.o|3i4o I 3o55 5 3i4i.5 3o56.9 3 1 43.0 2829.0 283o4 283 T. 7 2833.1 2834.5 2897 4129807 2982.1 2983 5 2984.9 2986.3 2898.8 2900.1 2901.5 2902.9 3o58.3i3i444 3059.7I3 145.9 3o6i.2{3i47.3 3o62.63i48-8 3o64.o 3o65.4 3o66 8 3i5o.2 3i5i 7 3 1 53.1 3o68.3[3i54.6 3069.713 1 56 o 3904.3 2905.7 2907.0 2908.4 2909.8 2835 8 2837.2 3838 5 2839.9 2841.3 2842.6 2844.0 2845.4 2846.7 2848.1 2849.4 2850.8 2852.2 2853.5 2854.9 2856.3 2857.6 2859.0 2860.4 2861.7 2863.1 3911 2912.6 2913.9 2915,3 3916,7 2918.1 2919.5 2920,9 2922.3 39336 3987.7 2989.] 3990.5 2991.9 2993.3 2994,7 2996.1 29975 2998.9 3ooo.3 2925 o 2926.4 2937.8 3929.2 2930.5 3ooi.7 3oo3.i 3oo4. 5 3oo6.o 3007.4 3071.1 3072 6 3074.0 3i57.5 3 I 58.9 3i6o.4 3o75.4'3i6i.8 3076.8 3078.3 3 1 63.3 3164.7 3079.7 3 1 66 2 2931.9 2933.3 3934.7 2936. 1 2937,5 2938.9 2940 3 3941.6 2943.0 2944.4 2945.8 3oo8.8 3oio 3 3oii.6 3oi3.o 3oi 4.4 3oi5.8 3oi7.3 3oi8.6 303O. I 3o3i.5 3032.9 3034.3 3o35.7 3o27.1 3028.5 3029.9 3o8i.i .3082.5 3o84.o .3o85.4 3^6~8 3o88.3 3089.7 3091 3167.7 3169.1 31706 3172 o 3173.5 3174.9 3176.4 3177.9 3092.63179 3 3094.0 3095.4 3096,9 3098.3 3099.7 3 1 80.8 3l83.3 3i83.7 3i85.3 3 186.6 3ioi.2:37887i 3io2.6 3189.5 3 104.0 3 19 1.0 3io5.5 3192.5 3106.93193.9 3108.43195.4 3109.8 3196.9 3111.2,3198.3 3ii3.7|3i99.8 3rii.i[33oi.2 3i 15.5,3202.7 O' I 2 3 A 5 6 7 8 _9 10 II 13 \l lA i5 16 17 18 !9 20 21 23 33 24 25 26 27 28 29 3o 3i 32 33 34 35 36 37 38 39 4o 4i 43 43 AA 45 46 47 48 4? 5o 5i 52 53 54 55 56 57 58 59 60 It < 334 MBBIDIONAL PARTS. o I 3 _4 5 6 7 8 9 li) II I a i3 1 4 i5 !() 17 18 .11 20 2i 34 aS a6 37 28 ■uNLl 3 1 33 "35 36 37 38 39 4o 4 1 4a 43 44 45 46 47 48 5o 5t 5 2 I"' "3' er 58 Latitude. 47** 3302, 32t«4' '•j20J, 3.,,. ^ 480 t 490 1 50° ,510 :1a'9i .5: 3382. 1 1 3474-5 3568.8 ■3293.0 1183.6| 3476.0 3570.4 3372.0 3573.6 3.575.2 329i5l33S5,i!3477.6 "586. 7 1 3479- i ivS8. 2; 3480.7 J3299.0 3389.7 .*iiT=!.io.5 3391.2 ■{92-8 3482.3 3483.8 3485.4 ■3576.8 3578.3 3579.9 "■8 1. .5 32 I o 3 '2 I I 3'.»i3 3 3 1 4. fj , „) ju J . J J 394 . 3 1 3486-t^ 'htS 9!33<'/...>M395.8 3488.5J3583.i i y i~. ■iJP' Jl. Ii O i 3:1' ?o.. 3231, 3 ^'23, 3490.1 3584-7 3491.61 3586.3 '3587.9 3589.5 359 1. 1 3j24 3:; 27 32 3(1 3233 3irt mill 233 '~J A ■..# .JP HI, J' *'»yH, I 3238 3239 3341 3242, 3244 3245, ,3246" 3»49 ,.r iJuo.5 i '397.4 ,9 33o8.«;)' 3398'.9 i49 1 .6 . J j 3 3i >9. 5 : 3400.4 3493 . 2 ,8 3 3 1 1 .0 ' 3 'I02 o| 3494.7 ,3 33.12.5 3403.5; 34g^i.3 _ — i ______ ._ . .81 33 1 4.0' 3.4o5."31i 5.5:34^3.513499.4 359,4.3 .7i31i7.o:3.,4o8.i,;35oi.o3595.9 2| 33 1 8.5 3,409.61 3502.6.3597.5 .7 r 3 3 20 , o 34 n . 1 1 35o4. 1 3599. 1 .332 1 .5 34.1 2.7! 3 505.7! 36«'x>. 7 3323 .0 34 1 4- 2i 3 5o7 .3 ' 36o2 . 3 3324.5'34i5.7 35o8.8i'36-.*) 3418 r2 013607.1 .5 3329.0 3-i2o.3 35 1 3.5:3608.7 .0! 3 1 3o. 5 , 34 a 1 .9 35 1 5. 1 j 36' 1 o,3 .513133.. 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I 4452.1 4454 o 4456.0 4567.6 4569.6 4571.6! 4573.6I 4575.7 61° 4649.2 4651.3 4653.4 4655-4 4657-5 4659-6 466 1 6 4663.7 4665.8 4667.8 46699 4672 o 46741 4676. 1 4678.2 4680 3 4682.4 4684-4 4686 5 4688.6 620 4775.0 4777 I 4779-2 4781.4 4783.5 4785.6 47878 4789.9 4792.1 4794.2 4796.3 4798.5 4800.6 4802.8 48o4 9 4458.04577.7 4459.94579-7 446i.9'458i.7 4463 9U583.8 4465.8:4585.8 4467.8 4469.8 44718 44737 4475.7 45878 45899 4591.9 4593.9 4596.0 4477-7 44797 44816 4483 6 4485.6 4690.7 14692.8 4694.9 4697.0 46990 4701.1 4703.2 4705.3 47074 4807.1 4809.2 4811.4 48i3.5 4815.7 4817.8 4820.0 4822.1 48243 4826.4 4828.6 4830.8 4832.9 4835.1 4709 514837.2 44876 4489.5 4491.5 4493.5 4495.5 4598.0 4600,0 4602.1 4604.1 4606.1 4497.5 4499-5 45oi 45o3 4 45o5.4 4399.4 44oi -4 44o3.3 44o5.3 4407.2 4409.1 4507.4 4509.4 4511-4 45i3.4 45 1 5.4 4517.4 4519.4 4521.4 4523.4 4608.2 4610.2 46i2,3 4614.3 4616.4 4618.4 4620.5 4622.5 46246 46266 471 1 6 47137 47 '5.8 4717-9 4720.0 4722.1 4724 2 4726.3 4728.4 4730.5 4839.4 4841.6 4843.7 4845.9 4848.1 4732.6 4734.7 4736.8 4738.9 4741 o 4628 463o 4632 4634 4636, 4638 464r 4643 4645 4743.2 4745.3 4747.4 4749.5 4751.6 485o.3 4852.4 4854.6 4856.8 4859.0 486r.! 4863 3 4865.5 4867.7 4869.9 4753 4755 4758 4760 4762 4525.44647- 4527.4I4649. 4764 4766 4768 4770 4772 4775. 4872.0 4874-2 4876.4 4878.6 4880.8 4883.0 4885.2 4887.4 4889.5 4891 7 4893.9 4896.1 4898.3 49CW.5 4902.7 4904.9 63° 4904.9 4907.1 4909.3 4911.6 4913 8 4916.0 4918.2 4920 4 4922.6 49248 4927.0 4929.2 4931.5 4933.7 4935.9 4938.1 4940.3 4942.6 4944.8 49470 49492 4951.5 4953.7 4955 9 4958.2 4960.4 4962.6 4964.9 4967.1 4969.4 497' 6 4973.8 4976.1 4978.3 4980.6 49828 4985.1 4987.3 49896 4991.8 4994.1 4996 3 49986 5ooo.8 5oo3.i 5oo5 4 5007.6 5009.9 5oi2.i 5o 1 4.4 5oi6.7 5oi8 9 .5o2 1 2 5o23 5 5o35.8 5028.0 5o3o.3 5o33 6 5o34-9 5o37. 1 5039.4 64° 650 I 66° 67° , 68° 5039.4 5o4i.7 5o44.o 5o46.3 5o48.6 5o5o.8 5o53.i 5o55.4 5057.7 5o6o.o 5062 3 5o646 5o66 9 5069.2 5071.5 5073.8 5076.1 5078.4 5o8o 7 5o83.o 5178.8 5i8i.2 5i83.5 5123.5 5326.0 5328.4 5 1 85.9' 53309 5i88.3,.5333.4 5190.753358 5193.0 5338.3 51954 5197.8 53408 5343.2 5200.2 5345.7 5302.5 5348.2 5204 9 5350.7 5207.35353 I 5209 7 5355 6 5212. 1 5o85 3 5087.6 5090.0 5092.3 5094.6 5096.9 5099.2 5ioi.5 5io3.8 5io6.2 52i4 5216 5219 522F 5224. 5358.1 5io8.5 5II0.8 5ii3i 5ii5.5 5117.8 5 120. 1 5l22-4 5124.8 5127.1 5129 4 5i3i.8 5i34.i 5 1 36.5 5 1 38.8 5r4i.i 5226 5228 523r 5233 5236, 5238" 5240. 5243 5245. 5248 536o.6 5363 I 2:5365.5 6,5368.0 Oi537o.5 4 5373.0 .85375.5 .2 5378.0 .6 5380.5 .0 5383.0 5474.0 563o.8 5476 6 5633.5 5479-1 5636.2 5481.7 5638.8 5484.3 5641.5 5486.8'5(544.3 5489455469 5492.0 '5649.6 5494.5:5652.2 5497.1 5654 9 5499.7,5657.6 55o2.3 5660.3 55o4.8l5663 o 55o7.4'5665-7 55 1 0.0! 5668 4 4'5385.5 8|5388.o 2J5390.5 ,615393.0 5 525o 5252 5255, 5357, 5260. 1 1 5395 '5:5398,0 95400.5 3 54o3 o 5i43 5 5i45 8 5x48.2 5i5o.5 5i52.9 5262 5 5265.0 5267.4 52698 5272.2 54o5 5 54o8,o 55i2.6j567i 1 55i 5.2 5673.8 55 17.8 1 5676.5 5520.4,5679.2 5523.o |568i.9 5525 5 '5684.6 15528.1:5687.3 5530.7 5690,0 5533.3 5692.7 5 535.95695 4 553875*5698,2 554 1. 1 15700.9 5543-8| 5703.6 5546.4;57o6.3 5549.0: 5709.1 5274.7 5277.1 52795 5281.9 52844 5286.8 5289.2 5410.6 54i3 54i5.6 5418 5420.6 5433.2 54257 5428.2 5430.7 5433.3 5435.8 5438.3 555i657ii.8 5554.25714.5 5556.8j57i7.2 5559.4.5720,0 5563.1 '5722.7 5564.7,5725.4 5567,3 5728.2 5569.95730.9 5572.6,5733.7 5575.2J57364 5577.8 5739.2 5580.4,5741 9 5583.1 1 5744 7 5585-75747.4 5588.45750.2 5291. 7I 5440.9 5i55.2 5i57 6 5i59 9 5162.3 5i64.6 5167.0 5169.4 5171.7 5174.1 5176.4 5178.8 5294. r 52966 5299.0 53oi " 53o3 9 53o6.3 53o8.8 53ti.2 53i3.7 53 1 6. 1 53i86 532I-I 5323.5 5443-4 5446.0 5448.5 545 1.0 5453-6 5456 T 5458-7 546 r. 9 5463.8 5466.3 5468.9 5471.4 5474.0 o I a 3 A 5 6 7 8 _9 10 II 12 i3 A i5 16 17 18 !9 20 21 22 23 24 25 26 27 28 29 3S 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 45 46 5591.05752.9 5593.65755.7 559635758.5447 5598-95761.2 56oi 6|5764 o 5604.2J57668 5606.9 5769.5 5609. 5| 5772.3 56i2. 2 5775.1 5614.8,5777.9 5617.5 5780.6 5620.2*5783.4 5622.85786.2 5625.5.5789.0 5628.1 5791-8 5630.8 '5794.6 48 49 5o 5i 52 53 54 55 56 57 58 59 60 '■"'"" 1^1. ..."ilJirif MERIDIONAL PAETS. il Ijttlitink. m° , 'TOO 710 720 733 5980 598.3, ^ 5989, .H,j599a. "6 6c»o7. ■.7t6334.8 6338. 1 634 1, 3 6344.6 i.oJ6347.8 [.1 635 1. 1 6534.4 03J7.0 654 1. 3 6544-7 6548.1 i655i.6 .2 6354-3 6555,0 r.36357.6 >.4636o.« J.5 6364-1 6558.4 656 1.0 6565.5 585o.8 6oa4.o 6307. 6a fo. BJ62r3. 5859-3 6031.86317. 5863.1 6o36.8 6.2 30. .06039.86223. 6226. 62 39.1 5.879, .5882, 5885. 5887. 5890. 8 |..0' 6069. 6072. 6075.' 6078; 6081.; 6367.3 6568.8 6370.66572.2 6373.96575.7 6377.2 6579.2 6380.4 6582.6 6383-7 6586.1 6387.o|6589.6 6390.3:6593.0 6393.66596.5 6396.9 66(X).o 6400.1 66o3.5 6403.4 6607.0 64o6.7|fi6io.5 6410.06614.0 6254. 6258. 626.1'. 6264. 6267. 5922. 5925. I- #928. 5931. 5933. 6084.8 6270:. 6087.8 6273. 6090.8 6277. 6093.96280. 6096.96283. fe^9 6io3.o 6106 o 6109.0 61T2.1 64 1 3.4 6416.7 164 20.0 6617.5 662 1 .0 6624.5 6423.36628.0 6426.6j663i.5 6429.966350 6433.3,66.38.5 6436.6 6439.9 6443.2 6446 6 6449-9 ■6453.3 6456.6 6460.0 6463.3 6642.0 6645.6 6649. 1 6652.6 6ii5.r 61 18,2 :.6|6l21.2 6124.3 6466-7 6470.0 6473.4 6476-7 .4 6480. 1 6286." 6289.1 6293.1 6296. 6299., 6483.5 6486.9 6490.2 6493.6 6497-0 63o2 63o5.8 6309.0 ;63i2.3 6127.3 63i 5.5 595t.3 6i3o.463i8.7 5954.2 6 1 33. 4 6321.9 5957.26136.5,6325.1 5960. 1 |6i 39.6^6328.4 5963.0 6 1 42. 61633 1. 6 5965.9*61 45.716334.8 65oo.4 65o3.8 6507.2 65io.6 65i4.o 6656.2 6659.7 ' il„,Jl.,l*j*3 6666.8 6670.4 6673.9 6677.5 6681.0 6684.6 6688.2 669T.7 6698.9 6703.5 6706.1 6709.6 6713.2 6716.8 6720.4 6724.0 6517.4 6520.8 6534.2 6527.6 653 1. o '6534.4 6727.6 6731.3 6734.9 6738.5 6742.1 6745.7 740 6745.7 6740.4 6753.0 6^56 6 6760.3 6763.0 6767.6 6771.2 6774.9 6778.5 6782.2 6785.9 6789.5 6793.2 6796.9 6800.6 6804.3 6808.0 681 1.7 68i5. 3 6819.0 6822.8 6826.5 683o.2 6833.9 6837.6 684 1 -3 6845.1 6848.8 6853.5 6856.3 6860.0 6863.8 6867.5 6871.3 6875.0 6878.8 6882.6 6886.3 6890.1 6893.9 6897.7 6901.5 6905.3 6909.1 6913.9 6916.7 6920.5 6924.3 6928.1 693?. 9 6935.7 693Q.6 6943.4 6947.2 6951.1 6954.9 6958.8 6962.6 6966.5 6970.3 730 7flo 6970.3 7210.1 6974.3 6978. 6981.9 6985.8 6980.7 6oo3.6 6957.5 7001.4, 7005.3 7a r 4-2 7218.3 7232.5 7226.6 723t>.8 7235.0 72.39. 1 7343.3 7247.5 7009.3I7251.6 70 770 ii3. 7017.0 7020.9 7034.8 7028.8 7032.7 7o36.6 7040.6 7044 5 704875 7052.4 7o56.4 7060.3 7064.3 7068.3 7072.2 7076.2 7t>8o.2 7084.2 7088.2 7093.2 7096.2 7100 2 7104.2 7108.2 7112.2 71162 7120.3 7124.3 7128.3 7132.4 7 1 36.4 7r4o.5 7«44.5 7355.8 726(5 o 72:64-2 7268.4 7273.6 7276.8 7281.0 7285.3 7289.5 7293.7 7298.0 7303.2 7306.4 7310.7 7467.2 7471.7 7476.1 7480 6 7485.0 780 7489.5 74940 7498.5 7502.9 7507.4 7511.9 7516.4 7521.0 7525.5 7530.0 7744.6 7749-4 7754.2 7750.0 7763.9 7768.7 7773.5 7778.4 7783.3 7788.1 790 8045.7 8o5o.9 8o56 2 8061.5 8066.7 7793.0 77979 7802.8 7807.7 7812.6 7534.57817.5 753o.i 7543.6 7548.1 7552.7 7314.9 73io.2 7323.5 7327.7 7332.0 7336.3 7340.6 7344.9 7349-2 7353.5 7357.8 7362.1 7366.4 7370.7 7375.1 7557.3 756 r. 8 75664 757t.o 7575.5 7580.1 7584.7 7589.3 7593.9 7598.5 7823 4 7827.3 7832.2 7837.2 7843.1 7847-1 7852.0 7857.0 7861.9 7871.9 8072.0 8077.3 8082.6 8087.9 8093.2 8<^98.5 8io3.8 8109.2 8114.5 8119.9 8125.2 8i3o.6 8i36^ 8i4i.3 8146.7 8i52.i 8157.5 8162.9 8168.4 8173.8 786698179.3 8184.7 7603.3 7607.8 7612.4 7617.0 7621.7 7876.98190.1 7881.918195.6 7886.98201.1 7148.6 7152.7 71 56.7 7160.8 7164.9 7169.0 7173. 1 7177.3 7181.3 7185.4 7401.1 74o5.5 7409.9 74i4.3 7418.6 7189.5 7193.6 7197.7 730 r. 8 7205.9 7210.1 7379.4 7383.7 7388.1 7392.4 7396.8 7423.0 7427.4 7431.8 7436.3 7440.6 7445.0 7449.5 7453.9 7458.3 7462.8 7467.2 76263 763 1. o 7635.6 7640.3 7645.0 7649.7 7654.3 76590 7663.7 7668.4 7891.9:8206.6 7896.98212.1 7902.08317.6 7907.0 7912 o 7917. 1 7922.1 7927.2 7932.3 7937.3 7673.1 7677.9 7682 6 7687.3 7692.1 76968 7701.5 7706.3 7711.1 771 5.8 7720.6 7725 4 773o.2 7735.0 7739.8 7744.6 7942.4 7947.5 7952.6 7957.7 7962.8 8233.1 8228.6 8234.1 8339.7 8245.2 8350.7 8256.3 7968.0 7973.1 7978.3 7983.4 7988.5 7993.7 7998.9 8004.0 8009.2 8014.4 8019.6 8024.8 8o3o.o 8o35.3 8o4o.5 8045.7 8261.0 8267.5 8273.0 8278.6 8284.3 8289.9 8295.5 83oi.f 83o6.8 83 1 2.4 83t8.i 8323.7 8329.4 8335. r 8340.8 8346.5 8352.3 8358.0 8363.7 8369.4 8375.2 o I 2 3 4 5 6 7 8 _9 10 II 12 i3 i4 i5 16 17 18 1? 20 2! 33 23 24 25 36 37 38 !? 3o 3i 32 33 34 35 36 37 38 39 4o 4i 42 43 U 45 46 47 48 49 '5o 5i 53 53 54 55 56 57 58 MERIDIONAL PARTS. 337 f Latitude. 1 80° 8375.3 81° , 82° 83^ 84= 83° 86° 87° 12522.1 88° 13916-^ 89° 16299.6 16357.3 8739.1 8745.5 9145.5 9605.8 10136.0 10764.6 ii533.5 1 8381.0 9152.7 9614.0 10146.5 10776.1 11546.9 12541.3 13945.3 I 3 8386.7 8751.9 9159.9 9623.3 101 56.1 10787.6 ii56i.3 12560.5 13974.2 16416.1 2 3 8392.5 8758.3 9167-1 9630.5 10165.7 10799.2 11575.8 12579.9 i4oo3.5 16475.9 3 4 5 8398.3 8404.1 8764.7 8771.2 9174.3 9638.8 9647.1 10175.4 10810.8 10822.5 11590.3 12599.4 i4o33.o 16536.8 4 5 9181.6 10185.1 ii6o5.a 12619.0 14063.8 16598.7 6 84t>9-9 84 1 5.7 8777.6 9188.8 9655.4 10194.8 10834.2 11619.6 12638.7 14092.8 16661.8 6 7 8784.1 9196.1 9663.7 10204.5 10845.9 11634.4 12658.5 14123.1 16726.0 7 8 8421.6 8790.6 9203.4 9672.1 10214.3 10857.7 1 1649.2 12678.5 i4i53.7 16791.5 8 9 10 8427.4 8433.3 8797.1 88o3.6 9210.7 9218. I 9680.5 10234.1 10233.9 10869.5 1 088 1. 3 116640 1 2698.5 12718.7 14184.5 i68d8.3 9 10 9688.0 9697.3 1 1678.9 i42i5.6 16926.4 ii 8439.1 8445.0 8810.1 9225.4 10243.8 10893.2 11693.9 J 2739.0 14247-0 16995.8 11 12 8816.6 9232.8 9705.7 10253.6 10905.1 1 1 709.0 12759.4 14278.7 17066,7 12 i3 8450.9 8823.2 9240. 1 97 1 4.2 10263.5 10917.1 11724.1 12779.9 1 43 10.7 17139.1 i3 i4 i5 8456.8 8462.7 8829.7 8836.3 9247.5 9354.9 9722.6 10273.5 10939.1 10941.2 1 1739.3 1 2800.6 14343.0 17213.0 i4 i5 9731.1 10383.5 11754-6 13831.4 14375.6 17288.6 16 8468.6 8842.9 9262.4 9739.7 10293.4 10953.3 1 1 769.9 11785.3 12842.3 14408.5 17365.8 16 17 8474-5 8849.519269.8 9748.2 io3o3.5 10965.4 12863.3 1 444 1-7 17444.9 17 18 8480.4 8856.1 9277.3 9756.8 io3i3.5 10977.6 11800.7 12884.5 14475.2 17525 8 18 19 20 8486.4 8492.3 8862.7 8869.3 9284.7 9292.2 9765.3 io323.6 10989.8 11002.1 11816.3 12905.8 14509.1 17608.6 19 20 9773.9 10333.7 11831.9 12927.3 14543.3 17693.5 31 8498.3 8876.0I9299.7 9782.6 10343.9 11014.4 11847.5 12948.7 14577.9 17780.5 21 32 85o4.2 8882.69307.2 9791.2 10354.0 11026.8 11863.3 12970.4 14612.8 17869.8 32 33 85io.2 8889.39314.8 97999 10364.2 11039.2 11879.1 12992.3 1 4648. 17961.5 23 24 25 85 1 6.2 8522.2 8896.0 8902.7 9322.3 9329.9 9808.6 9817.3 10374.5 10384-7 iio5i.6 1 1064. 1 11895.0 i3oi4.2 14683.7 18055.7 24 25 1 1910.9 i3o36.4 14719-7 i8i52.5 26 8528.2 8909.4 9337.5 9826.0 10395.0 11076.6 11937.0 i3o58.6 14756.1 18252.2 26 27 8534.3 8916.1 9345.1 9834.8 io4o5.4 1 1089.2 1 1943. 1 i3o8i.o 14792.8 18354.8 27 28 8540.3 8922.8 9352.7 9843.5 io4i5.7 iiio(.8 11959.3 i3io3.6 i483o.o 18460.6 28 29 3o 8546.3 855M 8929.6 8936.3 9360.4 9368.0 9853.3 10426. 1 I0436.5 11114.5 1 11 27.2 11975.6 11991.9 i3i26.3 14867.6 18569.8 29 3o 986 r. 2 i3i49.i 14905.6 18682.5 3i 8558.4 8943.1 9375.7 9870.0 io447.o 11 t4o.o 1 2008.3 l3l72.1 14944-0 187990 3i 32 8564.5 8949.9 9383.4 9878.9 10457.4 iii52.8 12024.8 13195.3 14982.8 18919.7 32 33 8570.6 8956.7 9391. 1 9887.8 io468.o 11165.7 1 2041.4 i32i8.6 l502 2.I 19044.7 33 34 35 8576.7 8582.8 8963.5 9398.8 8970.3 9406.5 9896.7 10478.5 1 1178.6 11 191. 6 1 2o58.o 13242.1 1 5061.9 1 91 74.4 M 35 9905.6 10489.1 1 2074.8 13265.7 l5l03.I 19309.3 36 8588.9 8977.2 9414.3 9914.6 10499.7 11204.6 1 2091 .6 13289.5 i33i3.5 i5i42.8 19449.6 36 37 8595.1 8984.0 9422.1 9923.6 io5io.3 II 2 17.6 12108.5 i5i83.9 19595.9 37 38 8601.2 8990.9 9429.8 9932.6 io52i.o 11230.7 I3I35.5 13337.6 i5225.6 19748.7 38 39 4o 8607.3 86[3.5 8997.8 9004.6 9437.7 9445.5 9941.6 io53i.7 11243-9 11257.1 1 3 142.6 i336i 9 15267-8 19908.7 39 4o 9950.7 io542.5 1 2 I 59.7 13386.4 i53io.5 20076.4 4i 8619.7 901 1.6 9453.3 9959.7 io553.2 1 1 370.4 12177.0 i34ii.o 15353.8 20252.7 4i 42 8625.9 9018.5 9461.2 9968.8 io564.o 11283.7 13194.3 13435.9 15397.6 20438.6 42 43 8632.1 9025.49469.1 9978.0 105749 11297.0 I33I1.7 13460.9 1 544 1-9 20635.1 43 45 8638.3 8644.5 9033.4 9477-0 9987.1 9996.3 10585.8 10596.7 ii3io.5 11323.9 13329.2 12246.8 13486.1 15486.9 20843.5 44 45 9039.3! 9484-9 i35ii.4 15532.4 21065.4 46 8650.7 9046.39492.8 iooo5.5 10607.6 11337.4 13264.5 13537.0 15578.5 2l3o2.5 46 47 8656.9 9o53.3|95oo.8 9060.3 9508.7 10014.7 io6r8.6 ii35i.o 12282.3 13562.8 15625.3 21557.3 47 48 8663.2 10033.9 10629.6 11364-6 I2300.I 13588.7 15672.7 21832.5 48 49 5o 8669 4 8675.7 9067.3 9516.7 9074.3 9534.7 ioo33.2 10042.5 10640.7 1 1378.3 1 1393. 1 i23i8.i 1 3614.9 i364i.2 15720.8 1 5769.6 22l3l.6 49 5o io65i.7 1 2336. 1 22459 3 5i 8682.0 9081.49532.7 ioo5i.8 10662.9 I i4o5.9 12354.3 13667.8 15819.1 22821.5 5i 52 8688.3 9088.4 9540.8 10061.2 10674.0 114197 12372.5 13694-5 15869.3 23226.4 52 53 8694.6 9095.5 9548.9 9102.695569 r 0070.6 10685.2 11433.6 12390 9 13721.5 1 5920 2 23685.4 53 54 55 8700.9 8707.2 r 0080.0 10089.4 10696.5 11447-6 11461.6 1 2409.3 13748.7 13776.1 15971.9 24215.3 54 55 9109.7 9565 10707.7 12427.9 16024.4 24842.1 56 8713.6 9116.8 9573.2 10098.8 10719.0 1 1475.6 1 2446.5 i38o3 7 16077.7 25609.2 56 57 8719.9 9124.0 9581.3 10108.3 10730.4 11489.8 12465.3 1 383 1. 5 i6i3i.8 26596.2 57 58 8726.3 9i3i.i 9589.4 10117.8 10741.7 1 1 5o4.o 12484-T 13859.6 16186.8 27992.1 3o375.o 58 59 8732.7 9138.3,9597.6 10127.3 10753.2 ii5i8.2 i25o3.i 13887.9162427 59 66 8739.1 9145.5 9605.8I 101 36.9 10764.6 H532.5 12522.1 13916.4 16299.6 infin. 60 43 I cc 338 TABLE FOE COHEECTING MIDDLE LATITUDE. Mid. Diflerenee of Latitude. Mid. Lilt. ;Liit 1,0 2 9- ' 40 fij ti,-.70gc|9UjH|0 1 11° 12° ,30 14° 150 16= ,70 Id^ 19 '■ii)'-' o 1 f 1 t 1 t t 1 ' ' 1 / 1 1 t t 1 t / 1 i5 012 3 5 7 9 laliS 18 22 36 3i 36 4i 47 52 ^.9 65 72 i5 16 I 2 3 4 6 9 1 6 Bi t i4 18 21 25 3o 34 39 44 5o 56 62 ^9 16 .17 I 2 3 4 1 l4 17 20 34 28 33 3» 43 48 54 60 bb 17 If5 I 1 3 4 6 8 10 i3 16 20 33 27 33 36 4i 46 52 t>7 64 18 19 I 1 3 4 6 8 10 1 3 16 »9 22 26 .3«> 35 4o 45 5o 56 bi 19 341 1 I i 4 5 7 10 12 i5 18 23 25 29 34 38 43 48 54 6<) 20 31 i I a 4 5 7 . ^ 13 l5 } 13 i4 ^11 i4 9 II i4 18 31 35 29 33 37 41 47 52 58 31 a a 0.1 1 a 4 5 7 * 17 31 34 38 33 36 41 4b 5i 56 32 i»3 0. 1 ■ 2 3 5 7 < 17 20 33 27 3i 35 40 45 5o 55 23 24 I t 2 3 5 7 - 16 20 23 27 3i 35 39 44 49 54 24 a*» 1 1 2 3 5 7 i ^11 i3 5 11 i3 16 19 23 26 3o 34 38 43 48 53 25 a6 1 I 2 3 5 6 1 16 '9 22 26 3o 34 43 47 53 26 97 1 I 2, 3 5 6 1 B II i3 16 19 32 25 29 33 37 43 47 53 27 a8 oil 2 3 5 6 1 B 10 i3 16 18 22 25 39 38 33 37 4i 46 5i 28 29 1 1 2 3 5 6 ) B 10 i3 i5 18 31 35 32 37 4i 46 5i 29 ,1<> 1 I 2 3 5 6 B 10 i3 i5 l8 21 25 38 32 36 4i 45 5o 3o 3i 1 1 2 3 5 6 8 10 12 i5 18 31 24 28 33 36 4o 45 5o 3i 32 1 2 3 4 6 8 10 12 i5 18 2! 34 38 32 36 40 45 5o 32 33 1 2 3 4 6 8 10 12 i5 18 21 34 38 3a 36 40 45 49 33 34 1 2 3 4 6 8 !o 12 i5 18 21 24 38 33 36 40 45 49 34 3i 1 ■■ 2 3 4 6 8 10 12 i5 18 31 24 38 33 36 40 45 49 35 m 0' 1 2 3 4 6 8 10 13 i5 18 31 34 38 33 36 4o 45 49 36 37 1 3 3 4 6 8 10 13 i5 18 21 24 38 33 36 4o 45 49 37 38 I 2 3 4 6 8 10 13 i5 18 21 24 38 33 36 40 45 5o 38 39 1 2 3 4 6 8 to 13 i5 18 31 34 28 32 36 4o 45 5o 39 40 I 1 ., _ _ 5 6 8 10 i3 i5 18 31 25 28 32 36 4i 45 5o 40 4i 1 1 3 3 5 6 8 10 i3 i5 18 31 35 28 32 37 4i 46 5i 4i 42 I 1 2 3 5 6 8 to i3 i5 18 22 35 29 33 37 4i 46 5i 42 43 1 1 2 3 5 6 8 10 i3 16 18 32 25 29 33 37 42 46 52 4i 44 I 1 2 3 5 6 8 10 i3 16 19 23 25 39 33 38 42 47 52 44 4S I 1 I 2 3 5 6 8 [I i3 16 *9 23 26 3o 34 38 43 481 53 45 46 i 1 [ 2 3 5 6 8 II i3 16 19 32 26 3o 34 38 43 4f^- »5J 46 47 1 1 I 3 3 5 7 911 i3 911 i4 i6 »9 23 26 3o 35 39 44 49 54 47 48 1 I 2 3 5 7 >7 20 23 27 3i 35 40 44 5o 55 48 49 O' 1 I, 2 3 5 7 9 II i4 17 30 23 37 3i 36 40 45 5o 5b 49 5<:i I ~i 2 4 5 7 911 i4 17 30 34 28 33 36 4i 46 5i 57 5o •i'l I 1 3 4 5 7 9 12 i4 9 12 i5 17 21 34 28 32 37 42 47 52 58 5i fia 1 1 2 4 5 7 18 31 2§ 39 33 38 43 48 53 59 52 S3 1 I 3 4 5 71 13 l5 18 33 25 ^9 34 38 43 49 54 60 53 54 1 I 2 4 5 7' 13 l5 18 23 36 3o 34 39 44 5o 56 62 54 j^ 1 I a 4 6 6] i3 16 19 22 26 3i 35 4o 45 5i 57 63 55 56 1 1 3 4 6 81 i3 16 19 33 27 3i 36 4i 47 52 58 65 56 57 I I 3 4 6 8 I i3 16 20 24 28 32 37 43 48 54 60 bb 57 M I 2 3 4 6 81 I i4 17 20 24 28 33 38 43 49 55 61 bS 58 59 I 334 6 8i I i4 17 21 25 29 34 39 45 5o 57 63 70 59 60 1 2 3 4 6 9 1 1 14 18 23 26 3o 35 4o 46 52 58 65 72 j6o 61 1 2 3 5 7 91 2 i5 18 22 26 3i 36 43 47 54 60 67 75 '61 62 I 3 3 5 7 91 3 i5 19 33 27 33 37 43 49 55 63 70 77 62 63 1 2 3 5 7 10 1 2 16 30 24 28 33 39 44 5i 57 64 72 80 63 64 1 2 3 5 7 10 1 3 16 20 24 29 34 40 46 53 59 67 75 83 64 65 1 9 3 5 7 io 1 3 17 2*1 25 3o 36 4i 48 55 62 69 7ti 86 65 66 I 2 3 5 811 l4 18 23 26 32 37 43 5o 57 64 72 81 9' 66 67 I 246 811 t4 18 33 28 33 39 45 52 59 67 76 85 94 67 68 I 2 4 6 812 1 5 19 34 29 34 40 47 54 62 70 It 8q 93 99 68 69 1 346 9 '^ 16 30 35 3o 136 43 49 57 65 74 io4 69 70 I 246 9i3 1631 36 32 38 44 52 60 68 78 88 98 1 10 70 71 1 2 4 7 10 i3 17 33 27 33 40 47 55 63 72 83 93 1 04 lib 71 72 I 357 10 i4 1823 39 35 42 49 58 67 7618719811111124' 72 TABLES. 339 Lotrarithms of use in compvfing Compound Interest for long -periods of time. Nam. 1.001 v5 i.oo?5u 1.00375 I .oo5oo 1.00625 1 .00750 1 .00875 1 .0 1 000 1.01 125 I.0l25o 1.01375 1 .0 1 5oo 1. 01625 1 .0 1 75o 1. 01 875 1, 02000 1,02135 1.0225o 1.02375 I.0250O 1.02625 1.02750 1.02875 I .o3ooo i.o3i25 i.o325o 1.03375 i.o35oo i.o3625 i .o375o 1 ,03875 i,o4ooo i.o4i25 liOS. ,ooo54 ,00108 .00162 .00216 .00270 .oo324 .00378 .00432 .(K)485 .00539 .0059J .00646 .007CX) .00753 .00806 .00860 .00913 .00966 .01019 .01072 .01 125 .01178 .OI23o .01283 .01 336 .01389 .oi44i .01494 .01546 .01598 .oi65i .01703 .01755 25290 43812 55582 60617 58933 5o548 35477 13737 85346 5o3i8 08672 60422 o55.S6 44178 76217 01717 90695 33i66 39147 38653 31701 i83o5 98483 72247 3g6i5 oo6o3 55225 03497 45435 8io53 10367 33392 5o 1 44 92294 92220 86737 565o8 75925 i3i47 3oi37 82643 2o3v9 86706 1 92 1 2 49232 02I25 97258 48o33 61918 40472 79379 68475 91773 27497 48107 3o326 o5i72 57982 28439 6060 3 92937 5833o 84i3o 92167 98780 14844 Num. i.o425o 1.04375 i.o45oo 1.04625 1 .04750 i .04875 i.o5ot)o i.o5i25 i.o525o I 05375 I o55oo i.o56:^5 i.o575o 1.05875 I .o6 728-71 954'>3 Num. liOg. 1.08375 I .o85oo 1.08625 1 .08750 1.08875 1 .09000 1.09125 1. 09250 I 09375 1 .09500 1 . 096^*5 1 .09750 I 09875 1 10000 1.I0135 1.1025o I.I0375 I io5oo I. 10695 1.10750 1.10875 1 . 1 1 000 I.I 1 125 I.I I25o I.I 1375 1 . 1 1 5oo i.i 1625 11 1750 I.I 1875 • . I 20CX5 1. 12195 I.I2950 1. 1 9375 .03492 911 04 84267 .03542 97381 84548 .03593 97894 56733 .o3643 92656 2667? .03692 81680 1572c .03742 64979 4<*624 .03792 42567 13626 .o3842 14456 42459 .03891 80660 3o37o .03941 4' 191 76137 .03990 96063 74097 .04040 45289 14 1 59 .040898888081828 ,o4i39 2685i 58225 .04188 59214 20104 .0433785981 39876 .04287 07165 85625 .o4336 22780 31 i3o .o4385 32837 o5883 .04434 37348 95 1 07 .04483 36398 39783 .04533 39787 86657 .o458i 17739 78370 .o463o 00190 59969 .04678 77 1 70 4493 1 .047374867384179 .04776 1 47 1 8 96603 .04834 753 1 8 03974 .04873 3o483 23968 .04931 80226 70183 .04970 34560 53 1 48 .o5oi8 63496 75361 .o5o66 97047 4 1 985 Table for converting Common Hyperbolic Logarithms. into 1 2.30958 50999 94045 684oi 799' 5| 2 4.6o5i7 01859 88091 368o3 59S29 3 6.90775 53789 83 I 37 o52o5 39744 4 9.21034 03719 76182 73607 19658 5 11.51392 54649 70228 49.008 99573 6 1 3.8 1 55 1 05579 ^4274 io4io 79^87 7 16.11809 565o9 583 I 9 78812 59^02 8 18.43068 07439 52365 473 i4 39316 9I30.72326 58369 464' I i56i6 19231 Table for converting Hyperbolic into Common iMstirithms. I 10.43429 44819 o325i 82765 1 1 289 0.86858 89638 o65o3 6553o 23578 1.30288 34457 09755 48295 33868 4 1. 73717 79976 i3oo7 3io6o 45i57 5 2.17147 24095 16259 i3825 56446 6 2.60576 68914 19510 96590 67735 7 3.o4oo6 13733 22763 79355 79034 8 3.47435 58552 26014 62120 9o3i4 390865 03371 29266 44886 oi6o3 I Lengths of Circular Arcs in decimal parts of Radius. 01745 32935 .03490 6585o .o5335 98775 .06981 31700 .08736 64625 .10471 97551 .12217 30476 .13962 634oi .15707 96326 19943 39577 3988659154 5982988731 79773 i83o8 9971647885 1965977462 39603 070^8 59546 366 1-^ 7948966192 i' .00039 08882 2 .ooo58 17764 3 .00087 26646 4 .00116 35528 5 .00145 444io 6 .00174 53292 7;'.o5)2«3 62 1 -^^ 8*|.£K)2jJ3 ^im^ 9 1.00261 79938 08665 73160 17331 44319 25997 16479 34662 88638 43328 60798 5i^^4.3395§ §f55^*o5ijii7 b93e5v727T 77991 49437 n .00000 4848] 3 .00000 96962 3 .00001 4^444 4 .00001 93925 5 .00002 42406 6, .00003 90888 7^ ' ^oooo3 39369 8 .t)ooo3 87850 9 .00004 36333 368 II 09536 73692 19072 10433 28608 47244 38 1 44 84o55 47680 20866 57216 57677 66752 94488 76288 3129985824 *. • ll"l t * < 1 1 * I ( * - • I « J 340 T A B L £ S • ri»^i iM\a Common Logarithms of JSum^erU, carried to thirty places of decimals. 9 3 4 5 6 7 8 9 II 13 i3 n 3i 3? 4i Log. 0.3010299956 63981 1^52 1 3738894724 0.47712 1254? 19662 437295027903255 o.6o2o5 99913 27962 39042 74777 80449 0.69897 00043 36oi8 80478 6261 1 05276 0.77815 i25o3 83643 6325o 87667 97980 0.8450980400 i4256 83o7i 22162 58593 o.9<'3o8 9986991943 58564 1 2166841 73 0.95424 25094 39324 8745900558 o65io 1 .041^9 2685 1 58225 04075 01909 71 243 1.07918 124604762482772 2505692704 i.i 1394 33523 o6b36 7692065051 57942' 1.2304489213 78273 92854^^1698 94328 1.27875 3644i 42799 48213 8647^ .91907 80923 76073 9o383 27603 52027 .94939 oof)66 4491 2 78472 35433 69702 .98677 17342662448517843618 11666 .00432 1373782642 57427 5 1 88 1 78223 2.01283 72247 o5i72 2o5i7 1071 1 94580 2.02938 37776 85209 64o83 454 1 2 39461 2.C3742 64979 40623 63520o5i 33 07614 2.o53o7 84434 83419 7-^279 52270 28609 2.io38o 37209 55956 86424 69874 21827 JVumbers often used in calculation. i= Base of Napier's System of Logarithms =2.71828 18284 59o45 23536 02874 7i353 i^ (=0.36787 94412, log. =7.56570 55 1 80 96748 17234 88710 8io83 M=com. Jog. i = Mod. of Com. Sys. of Log. =0.434294481903251 82765 11289 18917 I j-M=i-7- com. log. 1= hyp. log. of 10=2.302585092994045684017991454684 f=Ratioof Circiim. to Diameter of a Circle =3.i4i59 26535 89793 23846 26433 8328o lJ-jr=«.3i83o 98862, w« =9.869604 401089, Arc of same length as Radius =180° 180*^ IT =57° .295779513, io8oo'-5-jr=3437' .7467708, log.=i.5o285 01273 o5866 i4564 87317 11709 com. log. ir=o.497i4 98726 941 33 85435 12682 88391 hyp. log. ff =1.1 4472 98858 49400 174 1 4 34273 5 1 353 ,j_y2__o.ioi32 ii836, yjr=i. 77245 385o9 jr = 1 0800' -r- TT =648000" -r- ir log =1.75812 26324 09172 log =3.53627 38827 92816 648ooo"-^r =206264" .80625, log =5.3i442 5i33i 76459 Length of Arc i"=o.ooooo 4848i 368ii 09535 99358 99141 in parts of Radius, = ^r-^648ooo, . sin 1 "=:o.ooooo 4848 1 368 1 1 , sin 2"=o.ooooo 96962 73622, sin 3"=o.ooooi AW^ io43, tin 4"=o.ooooi 93925 4724, sin 5"=:o.oooo2 42406 84o5, iin 9"=o.oooo4 36332 3129, ■in io"=o.oooo4 848i3 6809, Bin ii"=o.oooo5 33295 0490, sin I2"=o.oooo5 817764170, sin i' =:o.ooo29 08882 o46, sin 12' =0.00349 o65 1 4 i5, sin i°=o.oi745 24064, log =4.68557 48668 2354o 5i953 log =4.68557 48668 log =4.98660 48624 log =5.16269 6i2i5 log =5.28763 48580 log =5.38434 48710 log =5 63981 73762 log =5.68557 48665 log =5.72696 755i8 log =5.76475 61126 log =6.46372 61109 log =:7. 54290 6481 1 log=8.24i85 53i84 log =2. 5625810 log =2.5625978 Tropical Year =365*^ 5'^ 48"» 47' -588 =365^. 242 2 17456, Sidereal Year =3650C1994 NEH JUN 11 1940 'i n -^slSa ■-I't^f^- &■ jr* ;:€ ^.X''-\ ■ r^.ih,0'-:v-3^\~\i: llij*'