no«;?W*^*W**3tf,*TrstS«w;tv~. ■' Cornell University Library The original of this book is in the Cornell University Library. There are no known copyright restrictions in the United States on the use of the text. http://www.archive.org/details/cu31924101458762 Albert K. Mann Library Cornell University Gift from the Library of Doc AND Katy Abraham, The Green Thumb, Naples, N.Y. 0^^ THE FAKMEE8' AND MECHANICS' MAJSTTJAL. WITH MANY VALUABLE TABLES FOE MACHINISTS, JIAirnrAOT0EBES, MEB- CHANTS, BUILDERS, ENGINEERS, MASONS, PAINTERS, PLUMBERS, GARDENERS, ACCOUNTANTS, ETC., BY W. S. COURTNEY. BXTISBD AND BHLABGED BY GEOEGE E. WAKli^G, Jb., AITTHOIt or " ELETtfENTS OF AGBIOULTURE," " DEAINING- FOB PROFIT AND FOR HEALTH," " BABTH CLOSETS '. HO"W TO MAKE AND HOW TO USE THEM," AND FORMERLY AGEIOUMJUBAL ENGINEER OF THE OBNTBAL PARK, NEW YORE. TWO HUNDRED ILLUSTRATIONS. SOLD ONLY BY STJBSCEIPTION. NEW TOBK: E. B. TEE AT &'C0., 654 BEOADWAY; TREAT & LILLET, CHICAGO; B. HANNAFOED & CO., CINOINlsrATI; A. H. HUB BAUD, PHILA.; A. L. TALCOTT & CO., PITTSBUEG; G. P. HAWKES & CO., BOSTON; H. H. BANCBOPT & CO., SAN ERANOISCO; J. H. EnnHMBL, NEW OBLEANS; J. C. DEEBT, ArGTTSTA, GA. S 50\ Entered according to Act of Congress, In the year 1868, by E. B. TREAT & Co., In the Clerk's Office of the District Court of the United States for the Southern District of New Tort PREFACE. There are few persons, no matter what their calling or their education, who do not occasionally find themselves at a loss for information of the commonest kind, on any of the subjects pertaining to the practical arts of daily life — knowl- edge which was, perhaps, familiar to them in their school- boy days, but which has been forgotten or become obscured through the lapse of years. For example, how few persons can tell, without consulting books, the cubic inches contained in a bushel, the square yards in an acre, or how to measure the contents of a corn crib, or gauge a cistern. Nor is the inability to do so any reflection upon either their native capacity or their education. It is simply impossible to carry all these things in the memory so as to apply them when occasion requires. Hence the necessity for " Hand-Books," " Mechanics' Assistants," " Pocket Companions^" &c. Besides the labor involved in the almost daily necessity of calculating arithmetical, mensural, and other results, and the constant liability to error to which even the competent scholar is subject, the time required in the process, in this age, when time has emphatically acquired a money value, is no inconsiderable desideratum. Hence the necessity for "Eeady Eeckoners," "Pocket Accountants," " Calculators' Assistants," &c. YIU PEEFACE. In. presenting this volume, a chief aim of the author was so to combine the Manual with the Eeckoner, as to furnish the inquirer, in brief, with all the necessary rules and data and the elementary facts and axioms relating to almost every branch of industrial science, and particularly that of agri- culture, and, at the same time, whenever it was possible, to compute and tabulate the results for him in the same con- nection. Hence he will find in the ensuing pages the axio- matical or elementary propositions, the data, the standards, the units, &c., of almost every useful and practical art with which the farmer may have to deal, clearly stated, together with their simplest rules, illustrated by examples and solu- tions, and, wherever it was practicable, the arithmetical re- sults calculated and "tabularized. Those who consult this book must remember that it is not a work of reoipes, prescriptions, or of direetions and Old/vice as to the best mode of conducting any or all the various operations pertaining to agriculture, &c. But they will bear in mind that the subjects of which this book treats are, for the most part, facts mid Jlgures— assured analyses and demonstrations — about which there can be no dispute. The design was to produce a work of substantial and endur- ing value, and of universal application and use — something in the sphere of agriculture corresponding to Haswell in Engineering, or Fairbaim in Mechanics. How far the author's labors have tended to that end remains to be tested by experience. He is sanguine of their ultimate fruition. So vast is the domain of agriculture, that there are few of the mechanic arts of which the farmer does not require some information, and which he is often compelled to seek through many books and journals. . He is, in a certain sense, encyclopediac in his science and use. Hence many subjects PEEFACE. ^^ upon which he may require elementary knowledge and the assistance of computations may have escaped the vigilance of the author. When a friend first suggested to the author the design of such a work, the latter had no adequate conception of the labor involved in such an undertaking. Although many of the tables were supplied or compiled from other authors, yet the labor involved in those he himself calculated and ar- ranged was prodigious. Besides, the composition or type- setting of the matter was of the most tedious, dilficult,^ and expensive kind, so that the volume of matter included within the covers would seem to bear no just proportion to the price the publisher is obliged to charge for it. Books much larger, and of many more pages of the ordinary composition, can be afforded at a much less cost. Withal, however, the author commends it to the favorable regard of those to whom it is addressed. TO THE PEAOTIOAL READEE. Having been long engaged in the various occupations into which a life of combined farming and engineering is quite sure to lead any man of a practical turn of mind, I look back with regret on the days wasted in making long calculations to decide some simple question of sizeL or form, or quantity. Many a long day have I hunted through alcoves full of practical hand-books at the Astor Library, — scouring now the field of Agriculture, now of Mechanics, and now of Hydraulics, — often disappointed in my search, and compelled to go home and work far into the night, pursuing, through the long lanes of square and cube roots, the phantom of some every-day question of the discharge of water through pipes, the strength of material, or the resistance in ploughing. I have always found less assistance than I had a right to expect from works written with the professed object of teUing me what I wanted to know. After hunting them through, I have generally come to the conclusion that they contain almost everything except what I am looking for. Xll TO THE PRACTICAL EBADER. Certainly all tliat I have hitherto seen have been sadly in- complete. Finally, I quite accidentally became acquainted with Mr. Courtney's Manual, and I found it much more nearly what it professes to be than any book that I had hitherto seen, for, although he very modestly complains of its incomplete- ness, it is undoubtedly much more thorough and accurate than are most works of its class. The idea occurred to me, that by bringing my experience in the use of such books to bear upon the completion and amendment of Mr. Courtney's woi'k, I might render a good service to the thousands who have almost daily occasion to consult a book of this character; — and in some degree make up for the loss that the community sustained in his death, although I cannot hope to bring to the task either the patience or the experience that constituted his great merit aa a compiler. It would be presumption to claim that, even in its en- larged and corrected condition, this book is complete, and all that could be desired, for there aremore subjects of quite general interest to farmers and mechanics than could be properly catalogued in a book of this size. All that is claimed is, that so far as it goes it is correct ; and that it goes as far, and in as many directions, as is compatible with its size and purpose. ' The importance of having such a book as this always at one's elbow is very much greater than would at first sight be supposed by one who has not-known the convenience of it. TO THE PBACTICAL EEADEE. Xlll How often, in farming, do we wish that we could know, on the spot, how to estimate the weight of hay in various conditions in the mow ; the weight of cattle by measure- ment ; the capacity of a grain bin ; the weight of a piece of timber, or of a load of manure ; the distance apart to which to set trees or plants in order to get a certain number within a certain space ; the size of an irregular field. How often in mechanics do we need to know the strength and measurement of masonry; the contents of cisterns and small vessels ; the area of circles ; the quality of cements ; ■ the power value of fuel ; the weight of bar iron, or of lead pipe ; the fusing heat of metals ; the strength of materials ; or the board measure of scantling. And,' worst of all, how sadly we accustom ourselves to get along without knowing these things! How much we' lose by guessing instead of Tcnowing ! The .object of this book is to put it within the power of every practical man to hnow these details ; — to leave less to guessing, and to enable him to guide his daily operations by the light of positive knowledge. If it accomplishes this purpose, neither; Mr. Courtney nor I will have worked in vain. In addition to the many tables and statements of valu- able facts with which the book abounds, I have thought it advisSble to review very carefully all of its " agricultural " matter, and to add what I could, in the space allowed to me, that might be of interest to those farmers who care to look a little beyond the mere question of dollars and cents XIV TO THE PEACTIOAL EEADEE. in farming, and of value to those who believe (as, happily, a yearly increasing number do believe) that the road to surer and greater profit lies through the door that Science and Common Sense — the guardian angels of Agriculture — hold open to them. It has not been possible to do much in this direction, for the subject is a very extended one, but I think that many a young farmer, if he will consider well the principles that are laid down under the headings of " Plants," " Soils," and " Manures," will at least feel a desire to learn more of the simple truths which lie at the foundation of his practice. I am sure, also, that it is not too much to say, that a careful study of the directions and the reasons for Tile- Draining will' richly repay any occupier of cold, wet land for the purchase of the book. This is a subject which, in this country at least, is still in the very early infancy of its progress. Not one acre in ten thousand of the land that it would pay well to drain in the best manner, has yet felt the benefit of the operation ; and not one farmer in a thousand has the faintest conception of the fact, — a fact that ample experience, here and in Europe, has fully demonstrated, — that he can no more afford to farm an undrained heavy soil, than a carpenter can afford to work with a dull tool. I have introduced another novelty into the work, under the head of " The Dry Earth System." This is a bantling that has raised its head within a very few years, and is only now coming to be recognized at its full value j but it is TO THE PEAOTICAL KEADEE. XV ushered before our attention with all the force that con- sideration of decency, health, and economy can lend ; and the most thoughtful attention is asked for its claims. It is really the coming Reform, and promises more for civiliza- tion, and for national prosperity, than any improvement that has yet been brought to the notice of the public. To sum up, then : this book. is offered as containing more that has been proven by long use to be of value ; more that it is most necessary for every farmer and mechanic to know ; and more ofpromising novelty, than any other that has ever been presented to the farmers and mechanics of America. It is complete in every particular in which it is possible for such a book to be complete, and, in addition to this, it is sufficiently suggestive in many other respects to induce its readers to read more, to think more, to experiment more, and to become more intelligent and more successful in the management of their business, as well as really happier and wiser men. If it should be thought that I claim too much for a single Pland-Book, which is mainly filled with dry details con- cerning the measurement of boards, and the spacing of trees in an orchard, I trust that I shall at least not be condemned as an enthusiast until the reader has taken the trouble to examine carefully what I have to say, and to consider well to what better things the helping hand of Nature may lead him if he has the wisdom to heed its beckonings. « Geo. E. Waking, Je. Ogdbn Farm, Newport, R. I., September, 1868. TSSTIMOJSriALS FOB THE FAKMEK3' AND MECHANICS' MANUAL. From the New York Tribune. A new edition of " The Farmers' and Mechanics' Manuai," by W. S. Courtney, de- ceased, revised and enlarged by George E. Waring, Jr., introduces several improTements oa the original work, forming a valuable book of general reference on practical affairs. It comprises a variety of tables and rules, and a thousand other points which perpetu- ally occur in the experience of industrial life, and which are often decided by guess rather than by knowledge. The agricultural portions of the volume have been thor- oughly revised by Mr. Waring, who has also enriched it with a variety of original matter, especially in relation to his favorite topics of " Tile-Draining," " The Dry Earth System," and others. In its present form, the work challenges the attention of every tiller of the soil and every lover of improvement. It is a sound, honest, instructive publication, doing all which it professes to do, and more, full of information suited not only to put money into the purse of the farmers and mechanics who consult its pages, but to increase their stock of valuable intelligence, and add to their resources for a happy and useful life. From the New York Evening Post. Farmers' and Mechanics' Manuai.. — The work, as its title implies, is designed not less for the w^ts of the mechanic than the husbandman, but for both it would not be easy to exaggerate its usefulness. The entire matter of measurement, in its connection with weight, bulk, liquid contents, distance and superficial area, is exhausted in the Bimple tables and diagrams which constitute a large part of the text, and by means of these the mechanic or farmer may in a moment resolve a problem which might other- wise occupy a day. Besides the tabular information which the book contains, there are hints upon the subjects of drainage, manures, stock-raising, rotation of crops, gardening for market, and steam cultivation, which the agriculturist will thankfully receive. In one respect the book is entitled to very high commendation — the accuracy of its typo- graphy. Crowded as it is with figures, but seven errata have been discovered in its five hundred pages. Messrs. Courtney and Waring have performed a most laborious and meritorious public service in its preparation. The moderate price at which it is offered to the public, three dollars a copy, must insure it an extended circulation. From the Sural New Yorker. This is a valuable and will be found a useful book to almost all classes of business men. Facts and figures of practical utility relating to all sorts of industry, the results of patient, elaborate calculation, are here crystallized into a condensed form ready for use, and so far as we have had opportunity to examine, the rules and tables are correct. We recommend it cordially to our readers. From the New York Day-Book, It would not answer for us to give a table of the contents of this very excellent and practical book, as an alphabetical arrangement of the same shows no less than eight hundred different items of information of value to the mechanic,, manufacturer, mer- chant, builder, engineer, mason, painter, plumber, farmer, gardener, accountant, etc. The book is fairly crammed with solid and useful knowledge suited to these trades and professions ; and it would seem as if the compilers themselves must have had years of service in each of these branches to arrive at so complete an understanding of what each branch ought to know. It is one of the most complete books of the day, and every member of the- above professions should own a copy. From the Hartford Oourant, Conn. A Valttabie Book for All. — One of the most useful and valuable books for farmers, meehanics and working men which we have seen, is ".The Farmers' and Mechanics' Manual." It is the useful and comprehensive " Manual " of W, S. Courtney, now de- ceased, and revised and enlarged by George B. Waring, Jr. It contains a great amount of information and statistics, arranged conveniently for reference, concerning matters that every farmer, mechanic and business man must inform himself about almost every day. It is an invaluable hand-book and book of reference. From San Francisco Bulletin, Cah We have been favored with a look at a work entitled " The Farmers' and Mechanics' Manual." which we are sure is destined to achieve a marked success ; and do not hesitate to add our unqualified commendation of the aim and execution of the work. From W. S. Clark, Esq., President of the Massachusetts Agricultural College. Please accept thanks for a copy of a very useful book, styled " The Farmers' and Mechanics' Manual." It is full of valuable information, and Mr. Waring's name is a sufficient guarantee of its correctness. I shall advise my students to act as agents for its sale. LIST OF ILLUSTRATIONS. icHex^vineg. paoh 1. Harvest Time Frontispiece 2. Illttstratino Seasons, Lonmtude, iteo 19-22 2. " CiROULAR Measure 23, 24 2. '• Measure of Time 25-30 1. " Pendulums 31 1. " Weather St 2. " Windmills 35, 36 14. " Measurement of Land 43-46 1. " Government Land Measure 60 3. " Measurement OF Hat 51-56 2. " " " Corn in the Crib 57-59 1. " " " Grain in Granaries 60 X. " " " Timber 61 1. " . " " Wood 62 1. " " " Round Timber 64 2. " Gauging of Casks 79, 80 3. " Capaoitt of Wagon Beds 82, 83 2. " False Balances. 84, 85 3. " Cisterns 86-92 1. " Htdraulios 97 3. " Hydraulic Eam. 102-109 1. " " Press 110 2. " Fuel. 115-124 1. " Fences 125 I. " Hedges. 133 1. " Horse Power. 137 1. " Ploughing. 141 2. " Freighting Vessels 142-144 25. " United States Monet. 145-148 16. " English Monet 149-151 nrSEATIHOS. 12. Illusteat 5. " 6. 5. 6. " 1. 1. " 4. 2. 1. " 1. 1. ,4. 2. 2. " 1. " 1. 1. 1. " 1. 1. 1. " 24. " 1. " 21. « 1. ' 3. 1. 1. ' 211 LIST OF n.T.USTEATIOirS. rAM 152-154 156, 157 158, 159 160, 161 162-164 165 167 170, 171 177 183 196 197 201-205 209-211 212-215 250 273 276 282 286 288 , 290 292-295 327 363-372 400 414r-423 428 ue Tjjot " TiTOTTTtl IMeASTTRE Dry " SonAEK " Long " CUBIO " Metkio System of Weights and Measures Corn and Pork. Lirs AND Increase of Animals The Age of Animals " Computed Weight of Cattle " Food of Animals Lightning Hods Weight of Square and Rolled Iron . . . . , Masonry MIeohanioal Powers — Inclined Plane " " Wedge " " SOREW " " Pulley ' Mathematical Definitions Manures Tile Draining Butter and Cheese Steaming Pood foe Stock q-aedbning for market Steam Plouohikg 1 COMMERCIAL ABBREVIATIONS. ©., At. Pr't, Freight. olc Account. Inat., This month. I, Gents. Int., Interest. * Number. Mdse., Merchandise. Am't, Amount. Mo., Month. Ass'd., Assorted. Net, Without discount Bal., Balance. No., Number. Bbl., Barrel. ' Pay't., , Payment. Blk., Black. Pk'gs., Packages, Cons't., Consignment. Per or pr., By. Dft., Draft. Prem., Premium. Diso't., Discount. Prox., Next month. E. B., Errors excepted. Ps., Pieces. Exps., Expenses. Sunds., Sundries. Fol., Folio. Dlt, Last montk. Fwi, Forwarded, EXPLANATION OP ARITHMETICAL CHARACTERS USED IN THIS BOOK. = Equal; as 12 inches = 1 foot, or 4X5^20. + Plus orputre; signifies addition, as 3+5+7=15. — Minus or less ; signifies subtraction, as 12—4=8. X Multiplied by ; signifies multiplication, as 8X7=66. -4- Divided iy ; signifies division, as. 56-!-8=7. : :: : Proportion, ; as 2 : 4:: 8 : 16 ; that is, as 2 is to 4 so is 8 to 16. V Prefixed to a number denotes that the square root ot that number is required, as, i'36=6. • V Prefixed to a number denotes that the eu5« root of that number is re- quired, as, » 1/27=3. ' Added to » number signifies that the number is to be squared, as 4* means that 4 is to be multiplied by 4. ' Added to a number signifies that the number is to be cubed, as 4* means 4 x 4 x 4:=64. . Decimal pomt, when prefixed to a number signified that that number has an unit (1) for its denominator, as . 1 is i^, . 2 is -^j .12 is •^, . 125 is ° Signifies degrees : ' minutes, and ' seconds. SEASONS, LONGITUDE, &a Spring. Smnmer. Autuniii. Winter. To re&uce longitude to time. The English count their degrees of longitudie' east and west from Greenwich, which, owing to our early depend- ence upon the mother country for books and science, became extensively adopted in this country, and still prevails to a considerable extent, especially in our nautical charts, and 20 SEASONS, LONGITUDE, ETC. works on' navigation. But by an act of Congress, passed some thirty years ago, the meridian of "Washington was established as the point of departure, and accordingly our maps, charts, &c., have since been adapted to that meridian. The sun passes over a degree of longitude in 4 minutes — the 360° in 24 hours. Thus, when we travel west, or on a line with the sun, our watch is four minutes /izs^ for every 60 geographical miles we travel. If we travel east, or on a, line with the sun, it is four lainutes slow for every degree we travel. Hence, when it is noon at Greenwich, that is, when the sun is on the meridian there, if we multi- ply 74°, the longitude of New York west from Greenwich, by 4, and subtract the result from 12 o'clock M., it will give the corresponding time at New York. Thus, 74° x 4=296 minutes, which, divided by 60, gives 4 hours and 56 minutes for the sun to travel from Greenwich to New York. Subtracting this from 12 o'clock (the Greenwich time) gives 7 o'clock and 4 minutes A.M. as the corresponding time at New York. So also by reverse, when it is noon at New York, it is 4. houi's and 56 minutes past noon at Greenwich. Hence results the following EuLE. — Multiply the number of degrees, minutes, and seconds west or east of the given meridian by 4, reduce the product to hours, &c., and for west longitude subtract SEASONS, LONGITUDE, ETC. 21 from 12 hours, and for east longitude add to 12 hours (i. e., so many hours past 12), and the result -will be the corre- sponding time. Example. — Required the time at longitude 50° 31' west, corresponding to noon at Greenwich ? Solution.— 50° 31'x4r=3 hours 22 min. 4 sec— 12=8 h. 37 min. 56 sec. A.M. Ans. Note. — Time is both appwrent and mean. The sun is on the meridian at 12 o'clock on four days only in the year. It is sometimes as much as 16J minutes before or after 12 when its shadow strikes the noon mark on the sun- dial. This is occasioned by the irregular motion of the earth on its axis and the inclination of its poles. This is called appa/rent time. Mean tifne is determined by the equation of these irregularities for every day in the year, and is noted in all good almanacs. The latter is the true or correct time. The foregoing rule is applicable to either. "When you buy an almanac, buy one that expresses on each calendar page the Tnean time when the sun reaches the meridian, or the shadow the noon-mark on the dial, and set your time-pieoe fast or slow as indicated in the almanac. To ascertain the length of the day and night. At any time in the year, add 12 hours to t^e time of the sun's Betting and from the sum subtract the time of rising 22 SEASONS, LONGITUDE, ETC. for the length of the day. Subtract the time of setting from 12 hours, and to the remainder add the time of rising the next morning for the length of the night. This rule is true of either apparent or mean time. OIECULAR OR ANGULAR MEASURE. This Measure is used to measure angles or the arcs of circles. It is used in astronomy, geography, navigation, and surveying, and for calculating differences of time. 60 seconds (") make 60 minutes " 30 degrees " 90 degrees " Table. 1 minute, marked 1 degree, , " ' 1 sign, 1 quadrant, ■ight angle, 1 ( circumference jlqu 1 1 ria or circle sig. quad, r. a. cir. ■^-?-^ 4 quadrants or 12 signs " Notes. — 1. The greatest dis- tance across a circle is called its diameter. The distance around it is called its circum- '^i ference. Any part of the cir- H cumference is called an arc. XS\ 2. If any circumference, whether large or small, be di- vided into 360 equal arcs, each arc is called a degree. The 24: CmCULAE OE AlfGULAE MEASTJEE. degree is divided into 60 minutes, and tlie minute into 60 seconds. The length of a degree, minute, or second, de- pends on the size of the circle. If the size of the circle is increased or decreased, the length of the degree, minute, or second is also increased or decreased. 3. The greatest circumference of the earth's surface is about 24,930 miles ; 1° of that circumference is one 360th of 24,930 miles, which is 69J miles. 4. A geographical or nautical mile is equal to 1' of the earth's greatest circumference, which is found to be a little more than one statute mile and 49 rods. 5. Latitude is measured north or south from the equator on any meridian, and is expressed in degrees, minutes, and seconds; thus,-43° 17' 31" north lat. denotes a position 43° IT 31" north from the equator. 6. The linear extent of a degree of longitude depends upon the latitude, and diminishes as the latitude increases ; thus, at latitude 10° its extent is 359640 feet ; at lat, 40° it is 280106 feet ; and at lat, 80° it is only 63612 feet. MEASURE OF TIME. Time is the measure of duration. 60 seconds (sec.) 60 minutes 24 hours 7 days > 4 weeks 2 days, or j 30 days ! Table. make 1 minute, " 1 hour, " 1 day, " 1 week, " 1 month, marked min. " h. " da. « wk. " mo. 26 MEASUEB OF TIME. 365 days, or ' 52 weeks 1 day . make 1 year, marked yr. 12 calendar months _ 100 years li 1 century, " C. The calendar year is divided t IS follows : Season. Months. No. of days. Abbreviations. Winter 1. January . 2. February 31 28 or 29 / Jan. Feb. 3. March 31 Mar. Spring 4. April 5. May 30 31 Apr. ^ 6. June 30 Jun. Summer 7. July 31 8. August 31 Aug. 9. September 30 Sept. Autumn - 10. October 31 Oct. 11. November 30 Nov. Winter 12. December 31 . Dec. 365 or 366 NOTES.- -1. The exact length of the solai year is 365 days 5 h. 48 ir lin. 49 see. ; but, for convenience, i( . is reckoned 11 min. 1 1 sec. more than this, or 365 da. 6 h. = 365J days. Th is J day in four years makes 1 day, which every fourth ye ar (called Bissextile or leap year) is added to the shorte st month, giving it 29 days. The numbers de- 1 MEASURE OF TIME. 27 noting leap years are exactly divisible by 4 ; as, 1856, 1860, 1864 ; except years whose number can be divided without a remainder by 100, but not by 400. 2. Owing to an error in the Julian calendar, it was de- creed by the British Government that the day following the second day of September, 1752, should be called the fourteenth day of September, or that 11 days should be stricken from the calendar. 3. Time, previous to this decree, is called Old Style (O. S.), and since, Wew Style (N. S.). Russia still reckons time by the Old Style, hence their dates are 12 days behind ours. 4. In most business transactions 30 days are called a month, and 52 weeks a year. 5. The centuries are numbered from the commencement of the Christian era ; the months from the commencement of the year; the days from the commencement of the month ; and the hours from the commencement of the day (12 o'clock, midnight), and from mid-day or noon. a.m. denotes time before noon, m., at noon, and p.m.,, after noon. Thus, 9 o'clock a.m.. May 23, 1860, is the end of the ninth hour of the 23d day of the fifth month of the 60th year of the 19th century. 6. A decade is a period of 10 years. 7. The l/anar Cycle, or Golden Number, is a period of 19 years, after which the changes of the moon return on the same days of the month. 28 MEASUEE OF TIME. 8. The Sola/r Cycle is a period of 28 years, when the days of the week again return to the same days of the month. To find the golden number or lunar cycle. EuLE.— Add I'to the given year ; divide the sum by 19, and the remainder is the golden number. Example. — "What is the golden number for 1857? Solution.— 1857+1 -f- 19 =97, rem. 15. Ans. Note.— If remain, it will be 19. Hence, in 1861, the changes of the moon occur oh the same days of the month they did in 1842, 1823, 1804, &c. Table showing the number of da/ys from cmy day in one month to the same day in any other. January. . . . February . . . Marcli April May June July August September. . October . . . . November. . December . . 1 1 <1 i 6 1 CO ^ 1 1 365 31 69 90 120 151 181 212 243 273 304 834 365 28 59 89 120 150 181 212 242 i!73 306 337 365 31. 61 92 122 153 184 214 245 275 306 334 365 30 61 91 122 153 183 214 245 276 304 335 365 31 61 92 123 153 184 214 245 273 304 334 365 30 61 92 122 153 184 215 243 274 304 335 365 31 62 92 123 153 184 212 243 273 304 334 365 31 61 92 122 153 181 212 242 273 304 334 365 30 61 92 123 151 282 211 243 273 304 335 365 31 61 92 120 151 181 212 242 273 304 334 365 31 62 90 121 151 182 212 24.3 274 304 335 834 303 276 244 214 183 163 122 91 61 30 ExPLANATioiT. — Find, in the left-hand column, the month from any day of which you wish to compute the number of days to the same day in any other month, and follow the line along until under the latter, and you have the MEASUEE OF TIME. 29 required number of days. Thus, from the 12th of April to the 12th of October, is 183 days ; from the Yth of March to the Yth of June, 92 days. Table f(yr finding the number of days heimeen two dates — new method. Jan. Feb. Mar. April May June July Aug. Sept. Oct Not. Dec. 1 32 60 91 121 152 182 213 244 274 305 335 2 33 61 92 122 153 183 214 246 275 306 336 3 34 62 93 123 154 184 215 246 276 307 337 4 35 63 94 124 155 185 216 247 277 308 338 5 36 64 95 125 156 186 217 248 278 309 339 6 37 65 96 126 157 187 218 249 279 310 340 7 38 66 97 127 158 188 219 250 280 311 341 8 39 67 98 128 159 189 220 251 281 312 342 9 40 68 99 129 160 190 221 252 282 313 343 10 41 69 100 130 161 191 222 253 283 314 344 11 42 70 101 131 162 192 223 254 284 315 345 12 43 71 102 132 163 193 224 255 285 316 346 13 44 72 103 133 164 194 225 256 286 317 847 14 45 73 104 134 165 195 226 257 287 318 348 15 46 74 105 135 166 196 227 258 288 319 349 16 47 75 106 136 167 197 228 259 289 320 350 17 48 76 107 1?,7 168 198 229 260 290 321 351 18 49 77 108 138 169 199 230 261 291 322 362 19 50 78 109 139 170 200 231 262 292 323 353 20 61, 79 110 140 171 201 232 263 293 324 354 21 52 80 111 141 172 202 233 264 294 325 355 22 53 81 112 142 173 203 234 265 295 326 356 23 54 82 113 143 174 204 235 266 296 327 357 24 65 83 114 144 175 205 236 267 297 328 358 25 56 84 115 145 176 206 237 268 298 329 359 26 57 85 116 146 177 207 2S8 269 299 330 360 27 68 86 117 147 178 208 239 270 300 331 361 28 59 87 118 148 179 209 240 271 301 332 362 29 88 119 149 180 210 241 272 302 333 363 30 89 120 150 181 211 242 273 303 334 364 31 90 151 212 243 304 365 Note. — To find from the above table the number of days between two dates, we give the following — 30 MEASUEE OF TIME. Rule. — I. When the dates are in the same year, subtract the number of days of the earlier date from the number of days of the later date; the result will be the number of days required. II. When the dates are in consecutive years, subtract the number of days of the earlier date from 365, and add to the remainder the number of days of the later date; the result will be the number of days required. When the year is a leap year, add one day to the result. PENDULUMS. 2 o » The vibrations of penduliims are as the square roots of their lengths. The length of one that will vibrate seconds in New York, at the level of the sea, is 39.1013 inches. To find the length of a pendvMm, for amy given number of vibrations per minute. EtTLE. — As the number of vibrations given is to the square root of 39.1013 inches, so is 60 to the square root of the length of the pendulum required. Example. — ^What is the length of a pendulum that will make 50 vibrations per minute ? 32 PENDtTLTUVtS. Solution — 50 : 6.25 (the sq. root of 39.1013):: 60 : 7.5, then 7.5"=56.25 inches. Ans. To find the nwmher of vibrations per minute, the length of the pendulum ieing given. EuLE. — As the square root of the length of the pendu- lum is to 60, so is the square root of 39.1013 to the number of vibrations required. Example.— How many vibrations will a pendulum 64 inches long make in a minute ? Solution. — 8 (square root of 64) : 60 : : 6.25 (sq. root of 39.1013) : 46.875 vibrations. Ans. Table showing the, pla/nets, compa^atme size, <&g., in the sola/r system. . NAMES. Mean Diame- ter. Mean dis- .tanqe from the Siin. BeTolu- tionar'd the Sun. Revolu- tion on axis. i-f Size — the t^rth being IP ^11 The Sow Mercury TeDU8..»^aa.... Miles. 883,216 8,224 7,687 7,912 2,180 4,189 89,170 79,042 86,112 41,600 Miles. S6,8l'4'00O 68,787,000 95,103,000 96,103,000 144,908,000 494,797,000 907,162,000 1,824,290,000 2,854,000,000 yrs. days '.'.'. 88 ... .224 V ■■■ 1 ... 1 S2I 11 216 29 167 84 6 164 226 d. h. m. 26 9 69 10 6 .. 23 21 . . 23 66 27 7 43 1 37 .. 9 66 .. 10 29 1 13 S3 Miles. l's27 1,338 1,138 38 921 496 368 269 208 1,412,921.100 0.063 0.009 1.000 0.020 0.126 1,456.000 771.000 80.000 143.000 0.252 1.120 0.923 1.000 0.615 0.948 0.238 0.138 0.242 .0.140 infln. 6.680 1.9H The Earth TheMom Mars 1.000 1.000 0.431 Jupiter 0.037 Saturn.. ,.,„ Uranus... Neptune 0.011 0.003 O.OOl THE WEATHEE. The following table, and the accompanying remarks, originally formed by Dr. Herschel, and approved with some alterations by the experienced Dr. Adam Clarke, are the result of many years' close observation ; the whole being on a due consideration of the attraction of the sun and moon, in their several positions respecting the earth, and will, by inspection, show the observer what kind of weather will most prdbMy follow the entrance of the moon into any of its quarters — so probably, indeed, that it has seldom been found to fail. Table, for teUmg the weather through all the limations of each year forever. TIUB OF CHANGS. IN snuusB. a* as 2 o o a A Between midnight and twol in the morning, J — 2 and 4, morning, 4 4 and 6 '• - — 6 and 8 " 8 and 10 '■ 10 and 14 " At 12 o'clock at noon, and \ 2, P. M. ; Between 2 and 4, P. M. 4 and «, " 6 and 8, " -I 8 and 10, « 10 and midnight, Fai^. Cold, with frequent! Bhowera. J Rain. Wind and rain. Changeable. j Freq.aent showerB. Verj rainy. Changeable. Fair. Fair, it wind N. W. Rainy, if S. or S, Do. Fair. w. I .W.J Hard frost, unless the wind be S. or W. Snow and Btormy. Rain. Stormy. Cold rain, if wind be W, ; snow if E. Cold and high wind. Snow or rain. Fair and mild. Fair. Fair and frosty, if wind N. or Rain or snow, if S. or S. 'W. Do. Fair and frosty. Observations. — 1. The nearer the time of the moon's 2* 34 THE WEATHEE. change, first quarter, full, or last quarter are to midnight, the fau-er will the weather be during the seven days fol- lowing. 2. The space for this calculation occupies from ten at night till two next morning. 3. The nearer to mid-day or Tioon, the phases of the moon happen, the more foul or wet weather may be ex- pected ^uring the next seven days. 4. The space of this calculation occupies from ten in the forenoon to two in the afternoon. These observations refer principally to the summer, though they affect spring and autumn nearly in the same ratio. WIND. The force of the wind increases directly as the square of the velocity. Thus, a wind blowing 10 miles an hour exerts a pressui-e four times as great as at 5 miles an hour, and 25 times as great as at 2 miles an hour. To jmd the force of wind acting directly against a sur- face. Rule. — ^Multiply the surface in square feet by the lbs. pressure per square foot as given in the following table. Example. — What is the pressure of a wind of a velocity of 20 miles per hour against a barn door 10 feet by 6 ? Solution. — 10x6=60 sq. ft., surface, x2 lbs., pressure per square foot, =120 lbs. Ans. 36 WINDMILLS. Table, showing the force and mlocity of wind. Milea per hour. 1 2 3 i 5 6 8 10 15 20 25 30 35 iO 45 50 60 80 100 Feet per minute. 88 176 264 S52 440 528 704 880 1320 1760 2200 2640 3080 3520 3960 4400 5280 7040 8800 LbB preaBure on 1 sq. foot. .005 .020) .045 1 .080 .125 .180 .320 .5001 1.125 ■ 2.000 3.125 4.500 6.125 8.000 10.125 12.600 18.000 32.000 50.000 Description. Barely observable. Just perceptible. Light breeze. Gentle, pleasant win& Brisk blow. Very brisk. High wind. Very high. Storm. Great storm. ' Hurricane, [ing off buildings, &0. Tornado, uprooting trees, sweep- The mechanical force of wind is well illustrated in the old-fashioned windmills' which were used for the purpose of ■WindmiU. raising water and grinding grain, where facilities for steam or water-power were wanting. AVERAGE TEMPERATUEE AND FALL OF RAIN. Table, showing the a/oerage temperature of the four Sea- sons at points on the Paeific and Atlantic coasts, amd the interior of this continent. PAOino Coast. Monterey, San Francisco ABtoria Inteeior. St. Louis Arsenal Chicago, Fort Kipley Atlantic Coabt. Fort Monroe, near Norfolk, Fort Columbus. N. Y. Harbor, Fort Sullivan. Eastport, TEMPESATUBE. Latitude. Spring, Summer Autumn Winter. Year. 36036' 37048' 46011' 38=40' 41052' 46° 19' 370 40042' 44015' 530-99 540.41 51016 54015 44090 390 33 .560-87 48074 400-15 580-64 570-33 610-68 760-19 670-33 64094 7e°-57 720-10 600-50 570-29 560 83 530 -76 55'o-44 480-85 420-91 610-68 540 5.'i 470-52 510 22 500-86 42=;43 320-27 25c -90 lOO-Ol 400-45 3 10 -38 230 90 550-29 540-88 520-23 540-51 460-75 390-30 580-89 510-69 430 02 From this table it will be perceived tbat Astoi-ia, on the Pacific coast, and Fort Ripley in the interior, are in about the same latitude. Astoria, though 650 miles north of Monterey, is only 3 degrees colder. Fort Ripley is fifteen degrees colder than St. Louis, although it is only about 500 miles further north. San Francisco, St. Louis, and Fort Monroe, are in about the same latitude. The difference between the mean sum- mer and winter temperature of San Francisco is less than seven degrees; of St. Louis, nearly forty four degrees; and of Fort Monroe, thirty-six degrees. Eastport is two degrees south of Astoria, but is nine degrees colder. 38 AVERAGE TEMPEEATUEE AND FALL OF EAm. The United States may be divided with reference to the fall of rain into three regions, namely : the region of peri- odical rains, the region of frequent rains, and the region of scanty rains. The region of periodical rains comprises the western division of the Pacific slope. In that portion of this division south of the 40th parallel of latitude, scarcely any rain falls in summer, and very little in autumn. The quantity in winter somewhat ex- ceeds that which falls during the spring. A much greater quantity of rain falls upon that part of the division north of lat. 40° than south of it ; but, as in the southern division, the largest amount belongs to the winter and spring. The region of frequent rains extends from the Atlantic coast westward to about the 100th meridian of longitude. This region, considered as a whole, is exceedingly well watered, the rain being quite equally distributed through the different seasons. From an examination of the table, it will appear that along the Atlantic slope, as far south as "Washington, very nearly the same annual quantity of rain falls ; and that it is very equally distributed throughout the year. In the Gulf States, and along the Atlantic slope south of "Wash- ington, the annual amount of rain is much greater than in the other sections, and the summer rains are much more ; abundant than those of the winter. In the interior the AVERAGE TEMPEEATXJEE AUD FALL OF EAIIC, 39 annual quantity is less, and generally much less rain falls in winter than in the other seasons. The region of scanty rains embraces the country between about the 100th meridian of longitude and the Cascade and Sierra Nevada Mountains. It includes the northern and southern divisions of the Pacific slope, the inland basin of Utah, the table-lands of the Texas slope, and the sterile region east of the Kocky Mountains. Among the mountains of this region a considerable quantity of rain falls, and violent showers are experienced in all seasons of the year.' Some of the mountain valleys are also well watered. Thus the annual fall of rain at Santa Fe, situated on a plateau enclosed by mountains, is 19.83 inches ; and the fall at Fort Massachusetts, which is situated in a valley 100 miles further north, is 20.54'inches. The annual fall of rain in the desert region, through which the great Colorado flows, is estimated at three inches ; that of the inland basin of Utah, at five inches; of the Great Plain south of the Columbia River, ten inches ; of the Llano Estacado, ten inches ; and of the sterile region east of the Kocky Mountains, from fifteeij to twenty inches. In all these sections scarcely any rain falls in summer. The greatest amount of rain reported in the "Army Meteorological Eegister," for any given year, was the fall, in 1846, at Baton Eouge, of 116.6 inches; the least, a fall, in 1853, at Fort Yuma, California, of 1.78 inches. 40 AVERAGE TEMPEKATURE AND FALL OF RAIN. [This valuable Table is compiled from the " Army Meteorological Regis- ter," and presents the results of all the records, in the Army Medical Bu- reau, for 33 years, from 1822 to the close of 1864 ] Table, shewing the latitude and longitvde, the e'tevation above the level of the sea, the mean annual temperature, and the average annual fail of rain at various places in the United States. ^ 'III Ji. fill II ¥ Nahe oj Place op Observation 1 III '^1-3 Fort Kent, Maine , 47015' 68036' 575 37° -04 38-46 Fort Fairfie'd Maine ....••■••■•.. 46 46 67 49 415 38-11 Hancock Barracks, Maine 48 07 67 49 620 40-61 36-97 Fort Sullivan. Eastport, Maine .... •44 54 66 68 70 43-02 39-39 Fort Preble, Portland, Maine 43 S9 70 20 20 45-22 45 -2S Fort Constitution, Portsmouth, N .H 43 04 70 49 40 45-81 35-57 Fort Independence, Bost. Har ,Mass 42 20 71 60 48-92 35-30 41 21 71 09 47-34 42-07 Fort Adams, Ebode Island 41 29 71 20 40 49-70 52-46" Fort Wolcott, Newport Harbor, E. I. 41 30 71 20 20 60-72 Fort Trumbull, New London, Conn. 41 21 72 06 23 49-62 45-69 Fort Columbus, N, Y, Harbor . 40 42 74 01 23 51-69 42-23 Fort Hamilton, N. Y. Harbor 40 37 74 02 25 61-54 43-65 West Point, New York _.......,.. 41 23 74 167 50-73 54-15 Watervliet Arsenal, New York .... 42 43 73 43 50? 48-07 34-55 Plattaburg Barracks. New York . . , 44 41 73 25 186 44. 33-39 Sackett's Harbor, New York ...... 43 67 76 15 262 46-38 39-78 Fort Ontario, New York 43 20 76 40 250 46-44 30-88 Fort Niagara, New York. 43 18 79 08 250 47.91 31-77 Buffalo Barracks New York. ^ . ... 42 63 78 68 660 46.25 38-80 Alleghany Arsenal, Pittsburg, Pa. , 40 32 80 02 704 60.86 34-96 Carlisle Barracks Carlisle, Pa .... . 40 12 77 14 500 31-10 34 01 Fort Mifflin, Pa 39 53 75 13 20 53-85 45-27 Fort Delaware, Del 39 35 75 34 10 56-06 FortMoHenry, Md oo.... 39 17 '71 35 36 54-36 42- Fort Severn, Md ... 38 68 76 27 20 55-42 48-61 Washington City, D. 88 63 77 02 50 90 66-14 41-20 Fort Washington. Md. 38 43 77 06 60 67-87 45-02 Bellona ArsKnal, Kichmoud, Va. . . . 37 20 77 25 120 59-27 Fort Monrne Va 37 76 18 g 58-89 50 89 Fort Macon, N C 34 41 34 76 40 78 05 20 20 62-23 65-68 Fort Johnston. N C... ....... 46.01 Augusta Arsenal Ga 33 28 81 53 600? 64- 01 23- Fort Moultrie. Charleston, S C... 32 45 79 51 25 66-58 44-92 Oglethorpe Barracks Ga 32 05 81 07 40 67-44 63-33 Fort Marion, St Augustine, Fla 29 38 81 35 25 69-61 31-80 Fort Shannon. Pi'atka, East Fla. . . 29 34 81 48 25 69-64 48-68 New Smyrna, East Fla 28 54 81 02 20 69-17 AVERAGE TEMPEEATUEE AND FALL OF EAIK. Tdhle continued. 41 Name of Place of Obbbsvation Fort Pierce, East Fla „.,„ Fort Dallas, East Fla , . , . Key West, Fla .,. Fort Myers, South Fla '. . Fort Brooke, Tampa Bay, Fla. . , Fort Meade, Fla.. .......,.„, Fort Micanopy, Fla , Fort King, Fla,.„, ,„, Cedar Keys, Fla. ............ Fort Fanning, Fla Fort Barrancas, Pensacola, Fla. Fort Morgan, Ala „ . . Mt. Yemon Arsenal, Ala. Fort Pike, La ...>„... Fort Wood, La ........... o ... o New Orleans, La.... Baton Bouge, La.............. Fort Jessnp, La Fort Towson, Ind. Ter Fort Washita, Indian Ter Fort Smith, Arkansas Fort Gibson, Ind. Ter. , Fort Scott, Mo ... . Jefferson Barracks, Mo St. Louis Arsenal, Mo. Newport Barracks, Newport, Ky Detroit, Mich ., • • < FortGratiot, Mich......... Fort Mackinac, Mich Fort Dearborn. Chicago, 111. . . . -Fort Brady, Mich Fort Wilkias, Mich Fort Howard, Wis. Fort Winnebago. Wis. ........ Fort Crawford, Wis Fort Armstrong, 111 ... . . . . ^ Fort Atkinson, Iowa. Fort Des Moines, Iowa Fort Eipley, Minnesota. ....... Fort Snelling. Minn Fort Leavenworth, Kansas. .... Council Blufis. Nebraska Fort Kearney, Nebraska Fort Laramie. Nebraska FortArbuckle Ind Ter Fort Belknap, Texas 1 Longitude West from Elevation above the lev- el of the aaa, In feet. ■3 a II p ^ 27030' 80O2U' 30 730-20 62-98 25 55 80 50 20 74 75 24 32 8i 48 10 76-51 47-65 26 38 82 02 60 76-04 62-26 28 82 28 20 71-92 66-47 28 01 82 80 71-48 40-22 29 30 82 28 60? 70 09 29 10 82 10 50 70- 29 07 83 03 35 69-60 48 50 29 35 83 50 70-20 30 18 87 27 20 68-74 65-98 30 14 88 20 66-88 31 12 88 02 200? 65-84 63 5C 30 10 89 38 10 69-86 71-92 80 08 89 61 20 69-25 60 63 29 57 90 10 69-86 60 90 30 26 91 78 41 68-14 62 10 31 33 93 32 80? 66-34 45-85 34 95 33 300? 61-69 51-08 24 14 96 38 645 62-21 41-66 35 23 94 29 460 60-02 42 10 84 47 95 10 560 60-81 36-46 37 45 94 35 1000? 64-60 42-12 38 28 90 15 472 65-46 37-83 38 40 90 05 450 54-51 41-95 39 05 84 29 500 65-26 42 20 82 68 580 47-25 30-07 42 65 82 23 698 46-29 32-62 45 51 84 32 728 40-65 23-87 41 52 87 35 591 46-75 46 30 84 43 600 40-37 31-35 47 30 88 620 41- 44 30 88 06 620 44-49 34-65 43 31 89 28 770? 44-80 27-49 43 05 91 642 47-63 31-40 41 30 90 40 628 60-31 43 92 700? 45-50 39-74 41 32 93 38 780 49-74 26-56 46 19 94 19 1130 39-30 29-48 44 53 93 10 820 44-64 25-4.3 39 21 94 44 896 62-78 30-29 41 30 95 48 1250 49-28 40 38 98 57 2360 47-67 27.98 42 12 104 47 4519 50 06 19-98 34 27 97 09 1000? 60-83 30-57 33 08 98 48 1600? 68-99 22- 42 AVERAGE TEMPEEATTIEE AND FALL OF EAIN. Table conti/mied. Nasu; o* Place of Obseevahon. Fort Worth, Texas Fhantom Hill, Texas .......... Fort Chadbourne, Tejcas. . * Fort Graham, Texas Fort Gates, Texas Fort Croghan, Texas. San Antonio. Texas.. Fort Merrill, Texas. ............ Fort Ewell, Texas Corpus Chrieti. Texas . . . . o Fort Brown, Texas Einggold Barracks, Texas. ...... Fort Mcintosh, Texas Fort Duncan, Eagle Pass, Texas. Fort Inge, Texas Fort Lincoln. Texas. ........... Fort Clark, Texas Fort Fillmore, New Mexico. .... Fort Webster, New Mexico Fort Conrad, New Mexico Albuquerque, New Mexico CeboUeta and Laguna, New Mexico Santa F^, New Mexico. Las Vegas, New Mexico. Fort Union, New Mexico ., Fort Massachusetts, New Mexico . . Fort Defiance. New Mexico Fort Yuma, California San Diego, California Posts Del Chino and Jurupa, Cal'a Monterey. California Fort Miller, California. San Francisco. California Benicia Barracks, California Sacramento, California Fort Reading, California Fort Humboldt, California Fort Jones. California Fort Orford, California Fort Vancouver. Oregon Fort Dalles, Oregon Fort Steilacoom, Washington Ter. Astoria. Oregon Great Salt Lake, Utah 32O40' 32 30 31 38 31 56 31 26 30 40 29 25 28 17 28 05 27 47 25 64 26 23 27 31 28 42 29 09 29 22 29 17 32 13 82 48 33 34 85 06 35 03 35 41 35 35 35 64 87 32 36 44 32 43 32 42 34 36 36 37 37 48 38 03 38 33 40 30 40 46 41 36 42 44 46 40 45 36 47 10 40 11 40 46 u) d ^|5 97025' 99 45 100 40 97 26 97 49 98 31 98 26 98 98 57 97 27 97 26 99 02 99 21 100 30 99 07 99 33 100 25 106 42 108 04 107 09 106 38 107 14 106 02 105 16 104 57 105 23 109 16 114 36 117 14 117 25 121 52 119 40 122 26 122 08 121 20 122 06 124 09 122 52 124 29 122 SO 120 55 122 25 123 48 112 06 g.-«, , (4 0) 1100? 2300? 2120 900? 1000? 1000? 600 150? 200 20 60 200? 400 800 845 900? 1000? 3937 6350 4576 5032 6000 6846 6418 6670 8365 7200? 120 150 1000? 140 402 150 64 50 674 50 2570 60 50 350 300? 60 4351 "3 4J at S 63° 54 ■«l'=.a — w E'sa -4 2 40-86 17-22 31-88 40-68 36-56 33-77 80 38 20 18 22 27 20 21 9 8 6 9 12 19 19 19 20 16 3 10 13 12 24 23 16 21 29 16 16 68 45 14.82 51 76 82 65 95 66 20 99 58 80" 28 79 76 42 05 83 24 24 54 64 24 43 77 20 61 59 62 32 02 77 77 62 50 52 23 58-24 MEASUEEMENT OF LAND. Every farmer should know the contents, in acres, of each of his fields, meadows, and lots, to ascertain which he should have a rod measure, a light stiff pole, just 16J feet long, with division marks on it of a yard each, making 6| yards. Provided with this measure, and proceeding according to the following rules, he can ascertain the area in acres of each of his fields, lots, &c. 4:4: MEASUEEMENT OF LAJSTD. Where the field is a square, a jparalldogram, a rhombus, or a rhqmioid. Bhombaa, Square. Parallelogram. EuLE.^Multiply the length in rods by the breadth in rods, and divide the product by 160, and the quotient will be the number of acres. Example. — "What is the area in acres of a field of 30 rods long by 28 rods wide. Solution. — 30x28=84r0-=-160=5 acres and 40 rods, or 5J acres. Ans. Where the field is triangular. EuLE. — Multiply the base or longest side, in rods, by the perpendicular height {i.e., the greg^est width), in rods, and divide: half the product by 160, an^ the quotient will be the ntiniber of acres. Example. — What is the area in acres of a triangular field, the base of which is 60 rods long, and its perpendi- cular height 28 rods ? Solution.— 60 x28=1680-i-2=840-r-160=5 acres and 40 rods, or 5J acres. Ans. JCEASUBEMEMT OF LAUD. When the field is a trapezi/um, or a trapesoid. 45 / Trapezium. Trapezoid. KuLE. — Divide it diagonally by a line running from one extreme corner to the other, -w^icli will cut the field into two triangles ; then proceed with each as in the fore- going rule, and add the areas of the two triangles together. The product will be the number of acres. Where thefiM is an irregula/r polygon. Rule. — Draw diagonals to divide the field into tri- angles : find the area of each separately, and the sum of the whole will be the number of acres. iq'oTE. There are very few ftelds or lots which cannot be measured by cutting them into triangles, and proceed- ing by the above rule. In fact, all straight-sided 'fields can be so measured. 46 MEASUEEMENT OF LAND. 'Where the field is long, and the sides crooked cmd irregular. EuLE. — Take the breadth in rods in a number of places, at equal distances apart ; add them, and divide the sum by the number of breadths for the mean average or breadth ; then multiply that by the length in rods and divide the product by 160, and the quotient will be the number of acres. Example. — ^What is the area in acres of a long irregular- sided field, the length of vehich is 80 rods, and its breadths at 10 rods apart are as follows, viz. : 8, 10, 11, 9, 8, 7, 9, 10 rods ? Solution. — 8 + 10 + 11 + 9 + 8 + 7 + 9 + 10 = 72 4- 8 = 9 rods mean breadth; then 9x80=720-^160=4: acres and 80 rods, or A^ acres. Ans. Where the fidd is long, and the sides and ends crooked and irregular. MEASUEEMENT OF LAND. 47 EiTLE. — Find the mean breadth in rods by the foregoing rule, and proceed in like manner to find the meap length in rods; then multiply the mean length by the mean breadth, and divide the product by 160, and the quotient will be the number of acres. Example. — "What is the area in acres of a field of irre- gular sides and ends, the various breadths of which are as follows, viz. : 9, 6, 7, 8, 10 and 8 rods, and the lengths as follows, viz. : 50, 40, 30 and 40 rods ? Solution. — 9 + 6 + 7+8 + 10 + 8 =48^6 = 8 rods mean breadth. 50 + 40 + 30 + 40 = 160 -^ 4 = 40 rods mean length. Then 40 x 8=320-4-160 = 2 acres. Am. Where the field is a circle. Rule. — Take the diameter in rods, and find the area of the circle in the table of circles on page 298, and divide it by 160, and the quotient will be the number of acres. Example. — "What is the area in acres of a circular field 22 rods in diameter ? Solution. — 380, area of circle, -i-160=2 acres and 80 rods, or 2^ acres. Ans. An acre of land is contained in a plot, 3 by 534 rods 7 by 22f rods 10 by 16 rods 4 by 40 " 8 by 20 " 11 by 14^^ " 5 by 32 " 9 by 17^ " 12 by 13^ " 6 by 26f " 12 rods 10 feet and 8|- inches square make an acre. 48 MEASUEEMENT OF iAND. It is often desirable, for experimental and other pur- poses, for a farmer to lay off small portions of his ground. To enable him to do so, we have compiled the following : Table, showing the square feet and the feet square of the fractions of an acre. Fractions of an acre. Square feet. Feet square. Fractions of an acre. Square feet Feet square. i 2722^ 5445 10890 14520 m 104 J 120 J i 1 2 21780 43560 87120 147J 208 ■ 296 Table, showing the number of hills or plants on an acre of land, for any distance apart, from 10 inches to 6 feet — the lateral and longitudinal distances ieing unequal. 10 in. 12 in. 15 in. 18 in. 20 in. 2ft. 2ift. 3 ft. 31ft. 4 ft. 4ift. 5 ft. Sift. 6 ft. 10 in. 6272B 1 32 " .S2272 43660' 15 " 41817 34848 27878 18 " R4R4« 29040 23232 1936(1 SO " RiaftS 26136 20908 17424 15681 2 feet 261.% 21780 17424 14620 13068 10890 2i " 20908 17424;13939 11616 1(1454 8712 6969 K " 17424 14620 11616 9680 871 2 7260 6808 4840 3i " 14035 12446 9953 8297 7467 6223 4976 4148 3565 4 " 13068 10890 8713 7260 6534 5445 4;m 3630 8111 2722 4i " 11616 9680 7744 6453 5H(1« 4840 3872 3226 276V 2420 2161 5 " 1fl4ii4 87121 6969 5K08 .5227 4356 3484 2904 2489 2178 1936 1742 5i " 9504 7920: 6.336 528(1 4752 396U 3168 2640 2263 1980 1760 1684 1440 6 " 8712 7260, 6808 4840 4356 3630 2904 2420 2074 1865 1613 1462 1320 1210 Explanation. — Find the distance between your plants or hills the 'Widest way in the left hand column, then trace the line in which it stands to the right, until it intersects the column heaSed by the number that expresses the dis- tance of the narrow way, where you will find the number sought. MEASHKEMENT OF LAKD. 49 Example. — The rows of corn in a corn-field are 5^ feet apart, and the plants 20 inches apart, in drill or hill ; re- quired, the number of hills or plants in an acre ? Solution. — Find 5^ feet (the distance of the rows apart), in the left hand column, then trace the line along unto the column headed by 20 inches (the distance of the plants or hills apart), and you have 4752. Ans. Table, showing the number of plam,ts, hills, or trees con- tained in an acre at equal distances apart, from 3 inches up to 66 feet. Distance apart. Ko. of plants. 3 inches by 3 inches 696,960 4 " by 4 •' 392,040 6 " by 6 " 174,240 9 " by 9 " 77,440 1 foot by 1 foot 43,560 U feet by IJ feet 19,360 2 " by Ifoot 21,780 2 " by 2 feet 10,890 2* " by2J " . 6,960 3 " by Ifoot 14,520 3 " by 2 feet 7,260 3 " by 3 '• 4,840 3J •' by 3J " 3,555 4 •• by Ifoot 10,890 4 " by 2 feet 6,445 4 " by 3 " 3,630 4 " by 4 « 2,722 4i " bjr4i " 2,151 6 " by Ifoot 8,712 5 " by 2 feet 4,356 5 " by3 '■ 2,904 5 " by 4 " 2,178 5 " by5 " 1,742 6i " by5i " 1,417 Distance apart Ko, of plants. 6 feet by 6 feet 1,210 6^ " by6i " 1,031 7 " by 7 " 881 8 " by8 " 680 9 " by9 " 637 10 " by 10 " 435 11 " by 11 " 360 12 " by 12 " 302 13 " by 13 " 257 14 " by 14 " 222 15 " by 15 " 193 16 " by 16 " 170 16J •■ by 16J" 160 17 •• by 17 " 150 18 " byl8 " 134 19 " by 19 " 120 20 " by 20 " 108 25 " by25-" 69 30 " by 30 " 48 33 " by33." , 40 40 " by 40 " 27 60 " by 50 " 17 60 " by 60 " 12 66 " by66 " .• lo GOYEENMENT LAND MEASUEE/ A townsiiip is. 6 miles square, and contains 36 sections, or 23,040 acres. A section is 1 mile square, and contains 640 acres. A quarter-section is lialf a mile square, and contains 160 acres. , A half quarter-section is half a mile long, almost uni- versally north and south, and one-fourth of a mile wide, and contains 80 acres. A quarter quarter-section is ode-fourth of a mile square, and contains 40 acres. It is the smallest sized tract, except fractions, sold by the government. MEASUEEMENT OF HAT. There is no accurate mode of measuring hay but by weighing it. This, on account of its bulk and character, is very difficult, unless it is baled or otherwise compacted. This difficulty has led farmers to estimate the weight by the bulk or cubic contents, a mode which, from the nature of the commodity, is only approximately correct. Some kinds of hay are light, while others are heavy, their equal bulks varying in weight. But for all ordinary farming purposes of estimating the amount of hay in meadows, mows, and stacks, the following rules will be found sufficient. 62 MEASmEEMENT OF HAT. As tiearly as can be ascertained, 25 cubic yards of aver- age meadow hay, in windrows, make a ton. When well settled in mows or stacks, 15 or 18 cnbic yards make a ton. When taken out of mows or old stacks, and loaded on wagons, 20 or 25 cubic yards make a ton. Twenty or twenty-five cubic yards of clover, when dry, make a ton. To find the mwmher of tons of meadow Jiay raked into wmd/rows. EuLE. — Multiply the length of the windrow in yards by the width in yards, and that product by the height in yards, and divide by 25 ; the quotient will be the number of tons in the windrow. ExAMPLE.-^How many tons of hay in a windrow 40 yards long by 2 wide and 2 high ? SoLUTioiir.— 40 X 2 X 2= 160-^25 =6f . Ans. To find the nvmiber of ton$ of hay in a mow. Etile. — ^Multiply the length in yards by the height in yards, and that by the width in yards, and divide the pro- duct by 15 ; the quotient wiU be the, mmaber of tons. Example. — How many tons of well-settled hay in a mow 10 yards long by 6 wide and 8 high ? Solution.— 10 x 6 x 8=480^-15=32 tons. Ans. MEASUKEMENT OF HAT. ' 53 To find the number 'of tons of liay in old stacks. KuLE. — Find the area in square yards of the' base in the table of the areas of circles on page 298, or by the rule given on page 296; then multiply the area of the base by half the altitude of the stack in yards, and di\dde the pro- duct by 15 ; the quotient will be the number of tons. Example. — How many tons of hay in a circular stack, whose diameter at the base is 8 yards, and height 9 yards ? SoLTjTioN. — 50.265, area of base in sq. yards, x 4J, half the altitude, =226.192-T-15=i5.079 tons. Ans. ■ To jmd the number of tons m long square stacks. EuLE. — Multiply the length in yards by the width in yards, and that by half the altitude in yards, and divide the product by 15 ; the quotient will be the number of tons. Example. — ^IIow many tons of hay in a square stack 10 yards long, 5 wide, and 9 high ? Solution. — 10 x 5 x 4^=225-^-15=15 tons. Ans. "^^ 54' MEASUEEMENT OF HAT. To find the number of tons of hay when taken out of mows or old stacks. Rule. — Multiply the length of the load in yards by the width in yards, and that by the height in yards, and divide the product by 20 ; the quotient will be the number of tons. Example. — How many tons of hay taken from an old stack, in a load 6 yards long by 3 wide and 3 high ? Solution. — 6 x 3 x 3=64:-j-20=2/g- tons. Ans. These estimates are for medium sized mows or stacks. If the hay is piled to a great height, as it often is where horse hay-forks are used, the row will be much heavier per cubic yard. Table, showing the ^rioe per cwt. of hmj, at gmen prices 'per ton. 1 •6 ' -d •a ■ "d •d T3 ■d •d -ri n3 "S i. TS 'C Ch "2 "O ■o "O TS ■o -O a % ' 3 § a a a § § g ^' 3 £ A. r^ A A A A A A A A els. cts (M CO %cta iO w l- 00 a> rH ^ s $ et> $ eis $ Oi $ri» $ Cts $ eta $(!I'JI $ dn $ cts 4 Ill] 20 40 60 80 1.00 1.20 1.40 1.60 1.80 2.00 2.20 .'i Vi 25 60 75 1.00 1.25 1.60 1.75 2.00 2.25 2.. 50 2.75 e lo 80 60 90 1.20 1.50 1.80 2.10 2.40 2.70 3.00 3.30 7 17 35 70 1.06 1.40 1.75 2.10 2.45 2.80 R.IS 3.50 3.85 8 20 40 80 1.20 1.60 2.00 2.40 2.80 8.20 S.60 4.00 4.40 H 22 45 90 1.35 1.80 2.25 2.70 3.15 8.60 4.05 4.50 4.95 l:i 26 60 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 U 27 55 1.10 1.65 2.20 2.76 3.30 3.85 4.40 4 9.5 6.50 6.00- lli 80 60 1.20 1.80 2.40 3.00 3.60 4.20 4.80 5.40 6.00 6:61) i;i '82 65 1 30 1.95 2.60 3.25 8.90 4.55 5.20 5.85 6,50 7.15 ]4 OJ 70 1.40 2.10 2.80 3.60 4.20 4.90 5.60 6.. to 7,(10 7.70 16 ;-<7 75 1.50 2.25 3.00 3.75 4.50 5.25 6.00 6.75 7.50 8.25 MEASUEEMENT OF HAT. 55 Toihle coniMiV/ed. i 1 1 •s ■S Ti i. % "S •2 a "2 -s •3 ■3 ■3 B. ^ A 1 s g g g g H § .ja A A A A A A A A Ph IM M •« 00 o y^ r-l r* iH rH $ $e(s $ C«» %cU $ Oi %CU $ as $ c(s $ cis $cts 4 2.40 2.60 2.80 3.00 8.20 8.40 3.60 3.80 4.00 5 8.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.0O 6 3.60 3 90 4.20 4.50 4.80 6.10 5.40 5.70 6.O0 7 4.20 4.55 4,90 6.25 5.60 6.95 6.30 6.65 7.00 8 4.80 5.20 5.60 6.00 6.40 6.80 7.20 7.60 8.00 y 5.40 5.85 6.30 6.75 7.20 7.65 8.10 8.55 9.00 10 6.00 6.50 7.00 7.50 8.00 8.60 9.00 9.50 10.00 11 6.60 7.15 7.70 8.25 8.80 9.35 9.90 10.45 ii.oo 12 7.20 7.80 8.40 9.00 9.60 10.20 10.80 11.40 12.00 13 7. SO 8.45 9.10 9.75 10.40 11.05 11.70 12.35 13.00 14 8.40 9.10 9.80 10.50 11.20 11.90 12.60 13.30 14.00 15 9.00 9.75 10.. 10 11.25 12.00 12.75 13.50 14.25 15.00 An easy mode of asoertammg the 'oalue of a gwen number ofV}8. of hay, at a given price per ton of 2000 Ihs. Rule. — Multiply the number of pounds of hay (coal, or anything else which is bought and sold by the ton) by one half the price per ton, pointing off three figures from the right hand ; the remaining figures will be the price of the hay (or any article by the ton). Example. — "What will be the cost of 658 lbs. of hay, at $7.50 per ton ? Solution. — $7.50 divided by 2 equals $3,75, by which multiply the number of pounds, thus : 658 $3.75 3290 4606 1974 l.46|750. Ans. 56 MEASUEBMENT OF HAY. NoTE.^The principle in this rule is the same as in interest — dividing the price by two gives us the price of half a ton, or 1000 lbs. ; and pointing oflF three figures to the right is dividing by 1000. A truss of hay, new, is 60 lbs. ; old, 56 lbs. ; straw, 40 lbs. A load of hay is 36 trusses. A hale of hay is 300 lbs. TO MEASURE OOEN ON THE COB IN CEIBS. When the crib is eqwilatefral. EA,E.^Multiply the length in inches by the breadth in inches, and that again by the height in inches, and divide the product by 2748 (the number of cubic inches in a heaped bushel), and the quotient will be the number of heaped bushels of ears. Take two-thirds of the quotient for the number of bushels of shelled corn. Example. — Required the number of bushels of shelled corn contained in a crib of ears, 15 feet long by 5 feet wide and 10 feet high ? SoLunoN. 3* 180 in., length, X 60 in., width, x 120 in., 68 COEN OT CEIBS. height,=1296000H-2748=471.6 heaped bushels, | of which is 314.6 bushels shelled. Ans. KoTE. — The above rule assumes that three heaping half bushels of ears make one struck bushel of shelled corn. This proportion has been adopted upon the authority of the major part of our best agricultural journals. Never- theless, some journals claim that two heaping bushels of ears to one of shelled com is a more correct proportion, and it is the custom in many parts of the country to buy and sell at that rate. Of course, much will depend upon the kind of corn, the shape of the ear, the size of the cob, &c. Some samples are to be found, three heaping half bushels of which wiU even overrun one bushel shelled; while others again are to be found, two bushels of which will fall short of one bushel shelled. Every farmer must judge for himself, from the sample on hand, whether to allow . one and a half or two bushels ears to one of shelled corn. In either case, it is only an approximate measurement, but sufficient for all ordinary purposes of estimation. The only true way of measuring all such products is by weight. When the crib is fia/red at the sides. 'RxTLE. — ^Multiply half the Sum of the top and bottom widths in inches by the petpendicular height in inches, and that again by the length in inches, and divide the pro- duct by 2748, and the quotient 'will be the number of heaped bushels of ears. Take two-thirds of the quotient for the number of bushels of shelled corn. COBN m CBIBB. 59 Example. — Required, the number of bushels of shelled corn contained in a crib of ears 4 feet wide at the bottom, 8 feet at thfe top, 10 feet in perpendicular height, and 15 feet long ? SoLTmoN. — i8 incbes, bottom width, +96 inches, top width,=:lM-4-2=72xl20 inches piSrpendicular height, x 180 inches length,=1655200^2748=565.9 bus. ears, f of which is 877.28 bus. shelled com. Ans. NoTB.— A barrel of corn is 6 bushels shelled. By this latter measure crops are estimated, and corn bought and sold throughout most of the Southern and Western States. At New Orleans a barrel of com is a flour-barrel fall of ears. In some parts of the West, it is common to 6ount 100 ears to the bushel. MEASUREMENT OF GRAIN IN GRANARIES. ^ 'i._.^' To ^^ the nmnher ofbushels of gram, m a grcma/ry. EiTLE. — ^Multiply the length in inches by the breadth in inches, and that again by the depth in inches, and divide the product by 2150 (the rnimber of cubic inches in a bushel), and for heaped bushels by 2748, and the quotient will be the answer. Example. — Given a granary 9 feet long by 4 wide and 6 deep. How many bushels will it contain ? Solution. — 108 iiiches length, x4:8 inches width, x72 in, depth,=373248-5-2150=173.65 bus. Ans. MEASUEEMENT OF TIMBER. m The unit of board measure is a superficial foot 1 inch thick. Besides inch-boards, plank and scantling are usually bought and sold by board measure. Bound, sawed, or hewn timber is bought and sold by the cubic foot. Pine and spruce spars, from 10 to 4|- inches in diameter inclusive, are measured by taking the diameter, clear of 'bark, at one-third of their length from the large end. Spars are usually purchased by the inch diameter ; all under 4 inches are considered pvles. 62 BOARD MEASUEE. Spruce spars of 7 inches and less, should have 5 feet in length for every inch in diameter. WOOD MEASUEE. To ascertaiti, the contents or rmmber of cords m a given pile of wood. Rule. — Multiply the length by the width, and that pro- duct by the height, which will give you the number of cubic feet. Divide that product by 128, and the quotient will be the number of cords. A pile of wood 4 feet wide, and 4 feet high, and 8 feet long, contains 1 cord; and a cord foot is 1 foot in length of such a pile, thus : „« SmONC BOARD MEASURE. To ascertam, the contents (powrd measure) of hoards, scantUng, andplcmk. Rule. — ^Multiply the breadth in inches by the thickness in inches, and that by the length in feet, and divide the product by 12, and the quotient will be the contents. BO Ann MEASUEE. Ina g Table, showvng the contents of inch^hoa/rds from 3 to 30 m. Jy^oacZ, (md frmn 4 ^(? 24 /^^^ Irnig. iiiiiSiiiKkSiillEliiiiSigiS 1^ mmummmiiimmii CT iliiiliiiiliissisiiiiiiiisii p i'iilllliiiilbiiisgikiiiibSi ^ o o o o o o o o b b b b b b b b b b b b b o b b b b b b i» £ Ei Ei p S S S p^ S S 5 1^ M M M P p W CD OT p. (^ M M M o o o o o o o o o o o o b b b b b b b b b b b b o o b b CO o o o o o H- o o o o b - b b b b b ^ b b b b b -- b b b b p -J 0> W .J^ W to M ..- p 45 CO ^ pv p. If^ M » w t- p <0 00 :J »> jU W to ::: otooo-jmom>.wt«»-o»oo-iaioipM»(o — otooo-Jtnoi*.e» b o e> b o o b b o o o b b b b b b o b b b b b b b b b b oooooooooo oo oooooooooooooooo to MC0C0t>5tOb0t0tOtO^9tO(O>-'^H^»J^H^l-'^ — bO — c>CDQO-a03i*»..Mooor3<»*.icooc«mrf^i^oooomifct=ooooro ? b b b b b b b b b b b b b b b b b b b b b b b b b b b b cnoiotoo-. cootorotcotDoawoasos.wotomwotoosccoto ? ppOj-jpjfcWMOeOOOO:OT*.tfi^ppo;-Ip5rf^OSMppQOpOTrfi. b b b b b b b b b b b o b b b b b o b b b b b b b b b b OCX)*.OG0*»O00*.OC0*.O004^OCXI*.OaJ.l^O00*.O00i(>.O A |s|||||i||i!||i|||g||£S£|b§s -I lllliiliiliiiliiiiiiliiiiiig 00 ©►-'bbbbbbwbobbU.bbboop^booo^bb Oi^rf».«o^3-JtoClOO-co^oi^-'rf».o^^-JOC;lOcoClo>-'Ol^lf».eo CD ui>p..rfkrfi.tt^,fc.rf:.oi oco cccco^sbototi) ■^^^'^'^cncjj^'^oooa t3 p iillliliiiiliiiiiiiiiiiiiiii tc iiili?liliisilliiiiililsiiii to to iliillllllliiiiilKiiiliisgi O 00 » 1^ M p fc C-. J» fO O CO p rP- o p CO p *^ 1^. p 00 OJ *> fS p 00 p bbcabbbbbbbooooooosooogoooooo ooooooo oooooooooo 0.0 ooooooooo b9 I 64 ROtTND TTMBEK. ExPLANATToif. — First find the width in inches in the left hand column, and the length in feet at the heads of the other columns ; then trace the two until they meet, and the figures so found will express the contents in feet and inches. BOUND TIMBER. r«^\'.' • «»i*^ fit Round timber when squared is estimated to lose one- fifih I hence a ton of round timber is said to contain only 40 cubic feet. Sawed lumber, as joists, plank, and scantlings," are now generally bought and sold by ioard measure. The dimen- sions of a foot of board measure is 1 foot long, 1 ft. wide, and 1 inch thick. SQT7ABE TIMBEB. 65 , To measure round tvmher. EuLE. — Take the girth in inches at both the large and small ends, add them, and divide their sum by two for the mean girth ; then multiply the length in feet by the square of one-foTirth of the mean girth in inches, divide the product by 144, and the quotient wi|l be the contents in cubic feet. Example. — What are the cubic contents of a round log 12 feet long, 54 inches girth at the large end, and 34 at the small end ? SoLUTioN.-^54+34=88-i-2=44 inches, mean girth. Then 12 length x 121 inches (the square of \ mean girth) =1452^144=10,^ cubic feet. Am. SQUAEE TIMBER. To measure squa/re Umiier. Ktoe. — ^Multiply the breadth in inches by the depth in inches, and that by the length in feet, and divide the pro- duct by 144, and the quotient will be the contents in cubic feet. Example. — ^WTiat is the cubic contents of a square log 12 feet long by 20 inches broad and 18 deep ? ^ Solution. — 20x18 = 360x12 = 4320 -H 144 = 30 cubic feet. Ans. 66 PLANK MEASDEE. PLANK MEASURE. 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'^ Ct -M O CO '- ^ C- o CO --C, t-t-t-OOCOOO=30SCSOSOOO^^"-iNfflCt(NMCQM'ftl-^-Tir5»f:iO' «-^M^3 O "O >■ I— cc OS ic — 1-- iM CO -^ O — !T-i r- r; crs o '-< io G^ /; -r o » '"-■^ JO «■ ■t}<-*W3ii3«J — h-00 X/C^CnO'-'i-CMS^rOCQrti.r OCOCCI-^QO JCOlOiO --( ~- -- — . rH — . — --^ --^ ^^ — -^l -^l C-l M -S) (H ■>• CM CM 'M 'M 'M -M -M CI TM OJ M i.-^^\.t6 rO"*T*<»rto;ccor---ooo c^-cs o -"^ — cn|(N vi so -rr -tf tri in -.c t- t^ ao ^ a^'- -- i-H — T-( — i-H .-H rH -^ — .-t — CM . O-TM CH -M -.-^ -M CM - i CM CI (M "M -M ^1 (N Uu'tr^c0C0C0X^c:-*a:'*O-rrOOO:^O •>i^3?0-^-<^i0O»!0Wt^Q0 00OCsOOi-H — CMCMr^-^-^UI^i-^C-l- ^j ^__, _j _, ,_, ^_, ,_j ^ ,_ ^_, _, _^ _ ,_, ,_, ^ ^ ^, -M ^1 -.-I ^1 •>! 1^1 -vr S^l -1 ■''VI K.M^2 O "O O <.1 ;; O O C5 O iC O '.H O O O lO O 'C O O O O O '-'"- O ■-. ^' ■-.. o •MCMC0«'*'*iQ«f^-j;DI^r-00»CSCsOO— t-l>|■MCOW'*^.r^^_ _^ — ,_l ,-i T-H — — — T-H — r-< -— < T— I !-( .— < — i -?^ -M -M Sfl *vT ! -M -1 ^1 8>Ui — •CMGMCMC0^^-ri0t0c0-or--h-C0000i3sOO'^ — "vi'>3M?^-^T"<^ c-S'^qh OiOc:t'^^:0'-'Mr-.— f;£OoO'*^W30TMr-cvi-r:,-iij0O'cai-*'y; L2-^'l^5 to --. T OD M 1— 1-i ^ o -^ ^ ^ 1^ csi :o — to 51 -* -O CM !•- — -^ O »n i^ ^ »- — Wrt-*^^— — -J-i-.-ir-t-'-^-^-'t-l — r-(-f-'-:tC0XC0SiG50SOOOOi-t'-'i— <'MCv|'MMCO?OTj'T^rt*iOO»O^W t'l'^qh iT-l^t-t^QOXCOOSSsasClOOO — rH-HCJ'MC2O10OrOrt-+-*||*JH^»O Ki-iqh *0 ■/- O CO -j3 3-. 1- -c crs rM .-> 1-- o TO ID yj rH •* :d O: cm .c l- O m m oo —; e»cot^i>.i^i-QOcoa)coososcsoooO'--^t^ — cMCMTj?2^2522 303.4 J I'JL.AJVK MEASURE. 69 Table continued. 91 ^q ^ I > *c »-* so — »^ e! ;'j r? "n" ^" Oii-^4lfii ft — Q4 n^ -^ I TM Gl .'J go J? w M ■* »r: r . *r. -^jt ^-^ ri CS . 00 C: O — >t a JQ M rfl -J* -ep Ol I- w >l M ^ _. ^ TP -^J" -^ B.^^^s; I S — S A 1-- I '.■M >l ' TM ■ < 71 p- ) — I- - I'-. jO 5s w ' SJ'fqh I S • ^^ Oi U^ 'S -^ iS't'l^a I 5 ai o ^ M . ™ ^,l Ki ->j 00 - >1 TM -^ rt ■* so :c CO « ys ■ "i>ro « •- I M r3 so so : soocoM — ost**o: OS OS r. — c ■>J T^ W CO : > (M - ri I'- -^ ■■ : I- CO 00 03 ^ F ? yj ^ CO -o -» - I .o — . ; CO CO : ;. O ^ ;i ■ , '< sa S 00 ; ze r. r^ — ■* fffl 05 00 OS o c w M "T- -r )U^H 3 S5 3S 3 « ■ _ ^ >■ <^4 ,■•* c: I'- lO « — 00 lO w — 00 * w ' OO — 1--Q0XO5 -f ^^ >! O-l -^-M C-l >' TM 00 : ■r CO — > ys CO OS l OS r- -t" C» t— 00 05 ro CO x CO ysAqJi; I :c CO - _. _ - M :c - — —4 ,^ — » ->J C^ .Vj ?J C ) >* O I* _ . X O! OS — • I -^ — >* <: t o; I-- ■* CM ; ) -J r- CO OS « ) M CO •ra CM o rt TP o CO CO y: » *0 1^ Oi m 50 I - t- CO CO M CO n^^H I r-1 M -- )-l — I iM (M ;: • OS ;o .-o . 5 -.w «: t> 00 l<^iMff-IC<4G^CMCM O -^ CM 3 « CO CO OS to TM 00 CM CO -^ •*■ CO CO CO CO o t* W 'TJ ca ?a "^' ift •O 5D CM CM M CM CM CM CM OS w :o t- CM CM ro o: 00 00 CM C^ iC C<) 00 OS O S5 CM CO CO ^ _t I* -rt- — C^ CM CO CO M CO 00 » O 30 IM 00 i CO CO W CO iS'^qJs i '■;; 3-, o — ' r: '^ CM 00 -r ^ I'- ?^ : J OS OS S O — ' CM -M -" • t^ CO CM CM OS O - CO r- : OK^q^s • COO^iO — I'-CMX'^O'JCMr^cCOsi )-^:Dr^0000CSOS ~— — 'CMCICOCO" '—•*-•—<— — — ^CMCMCMCMCMCMTviC — I— X X -t- O t- 1^ 00 CM fffl CM ■^ M ^ CO 00 ot OS :=; CMC^MCO 6[^'if8 I ??^:S I y5CO^iOio*^a3r-t*ao'Xrs CO 00 -^ = »o '-* — o -- CM "M X 7^1 I- -M n CM CO X - CO CO - CM CM 1 3 ,— . ^. -M CO : h- I- 00 OC J CM >l C^ CM w 7«i 00 CO lO CO CO 1^ CM CM ra CM si^qfs i J r- r- CO X 01 3: (M l^CM -* -* tO -M CM CM CO 00 M 00 ■^ ^ ift »C CM ffM ■>] CM M jCm So I OS ^ Oi ^ r. -f -. -f 31 -f o; -rp 00 ! Ll^-'irb -- -M -M CO ys -* Tt< o o '-o -^ I- r- c J X CO 00 J -M CO to I CM CM CM 00 CO X (M ■M CO CO-^ CM CM CM CM a I ^n So I x t* — ■-» — ' .c O "^ o: -^ OS CO X « r- '•-1 --o ^ .'l**-Hrb [ — J^C^I(M«-0-:p-rf-*iOinCD-^r^l— OOXOS OS O C — < Cfl c s ■^ OS •* 4 .4 »• r-j J CM CM CM •-■lAq?b* Tvi CO CO -"^ -^ -f ■'; >o ' . ,Tt) CM I- ^- : ; ^> OS ffO r— 4 — I .— . -M CM 1 ?Q >^ CM '>! ofi^qg I 00 c ) r^ »0 "^i = I . , _ -o w S; 1^ . »>- 00 ff. =: O inCMCMCMCMCMCMT^CIC-lffJCOCO - — -M CO ■* -^ lO "^ !>• » .-H N C CO « c . KO CM _ ; -* i'^ ;o : CO CO S3 CO h- 00 OS :C CO CO « GS^Llij -00 00 5: o . ^ri ,M ^ 1^ £ 1;; CM » in >i ~ «o -■■ — /, .0 re c; t- . . . . , _; CD t- 00 OS OS IWCMCMCMCMOMCMCMCM M CO OS ;s : rHCqc CO CO c 82 ^'U: I cc r- ou uu OS CO ^ I 3 ifl ■ I OS uc CO O tr ■" ) la CO b- X 00 c 1 CM CM CM CM CM C * X lO r O — > CO CM OS -A CM Cv» CO CO CO CO CO 3 b-Tj< ■^ irt irt CO M CO CO CO iS'^^E I ?D 'r b- 00 X OS O I — — ,-. p- f-i rH CM OS ••& o — CM CM 3 CO _ _ _ . , tC to CM CM CM M C:ocot--X x:rsSO--^H'MCOi . -* O, "^ S -^ »0 ift 3 (N CM CM 'M OS II •o C0 r CM« C ■< W Tf* o 3 X OS = 4 CM (M CO CO CM OS m — .iW — (M CO CO CO CO ^^i'l£ i 5 _ ,, a--ob-xooosc:sOi— ii-< _i— I— -.— I,— ( — »-i— N*—!— ICMCMCM 1^1 00 CM -M (N CM ^ * CO COrJ* ■* CM CM CM CM 00 - -•l-•NJ^-*>-^l-•l-J^-*l-^^-• i co'-co09Ca^9^^|^^^£)^£K)^o^st:OlOl^9^o^^t>9b^^9l-'b^»-•t-•^-■M->^-l|-l i i^afcO'-^oOOOo-M-aocsCtrfkrfi.wfcOi-ai— Ooe»O0D--l-JcaC;»Cn I a t»~ i n *^ l,*j — -^ *__- a*4 t#_ r'— ^.f' ^^ --v — > ^^ ^.^ ^ ^^ '^-^ '^ **■ ^*^ ^rw ^*- ^^ i^- "-T ' — ^^« C5ow-'icc;-^oco-aow--iow-^oco--iow-^ocjo--iow*fa. ■>-i o to o. eo k"^ cji rw r * "y ^ i |«.4 a.K *.A ^.A #■« «.■ »!■ ill* «■« i*A *|V ffrft k.4 i.*t k.l\ k*i kvt kVI k.«t k.*k h.«% W*\ k«t k.«l k^ 1 t L-J I I k A 1 O3t>SCOC0&9&dUC0WeOC>3UhSKSb9hai>3hSh9bSK9bOIOtON3l-i>-*i-a '^ -J Q bJ 4*- I * "j ^v »^t^»ft.C;3&3WCOCi9CO&3C>9WUCOUrOhAtSbOMt>SbOt>Oh9MbSt^rO*-4 I I— o<-ieoco-i=»csi/'rf^wi*6fco^05ooooo— »c*. enrfktf>»toi-o — ooo I jI v^ 9a gaOOCi^a■f>■J;OOOl'5^^^g:^ CO O tJi>^CiaoOt04>-OarroisaA.etQOOt^ i ttU.Y^t rfk.ita.|fh,(b.k^eoCe»C;0O3UD9eO&S&9O9COt^b9bab9»s9h9fr0rs9bdtCl>9fcO I toro.— Oo«ioo— ic:oit!i*..coro ~oo«oCD-^ocncnrfh.cot>y(-*oo rf*.c7T->^icot>Dcocn*^y,;si>actfCn--Tooo'— ■coo^*J030i>scoo»'^ fv 1mm' irt^ ^^^ ^^* ^^ J ■ ■— ^ fc^* ^^^^ ^« — ^t \JJ *^^ VM ^* — -^ \^j i^p/ 1.^ ^v ^^a -^1 \^j ^^ 1 ^ hF)i.>^>b..)l^tf^llh.cc&:eAucou&l:&seoo^&^&9tOl>^^otvs^9balo^sbOb9^a| ExpLAiTATioif. — Find the length in feet in the left hand column, and the width and thickness in inches at the heada of the other columns, and trace the two until they meet, and the figures so found will express the contents in feet, board measure. For a less length than any provided in the table, take the ^, ^, ^, &c., of the lengths given. Thus for 6 feet take i of 24, &c. LOGS EEDUCED TO INCH-BOARD MEASURE. Table, showing the numler of feet (board measure) of mGhr-l)&ard& contained in roxind saw logs of various dimensions LOGS EEDUOED TO INCH-BOAKD MEA8UEB. 71 C-l n •^ o «_> t^ CJd O o ,_ C^J CQ J^ IQ 1 CO t* 00 . c» II -» u -H t-i IH rH •"l i~i e^ ■^t N M CH w 1 C4 c^ CM N ( g 9 i E a a s i e g s 6 •'. a g 1 g E a ^ 1-5 .5 2 ft C 5 J a P a 5 1 .i p J .3 P s 10 43 CI 7 I 89 99 116 IH .-■ 150 T75 191 20! )235 252 287 313 34£ J63 381 11 64 67 7 } 98 109 127 14 7 165 192 209 23( )269 278 315 344 377 iOO 4!9 12 59 73 8 i 107 119 139 IG 180 210 22s 25] 1283 303 344 376 411 lie 457 13 G4 79 9. 5 116 129 15. 17 6 195 2^7 24,7 27 !30t 328 373 408 44: 173 495 14 G9 85 10 J 125 139 IGi 18 ; iiO 245 26G 29 i330 35:; 401 439 47S 509 533 Ij 74 91 lo- r 134 149 173 20 1 225 262 285 31. 3 353 379 430 419 514 .545 571 IG 79 97 ll' U4^ 169 185 21 3 241. 280 304 33 1377 404 459 500 548 .J82 609 17 81 03 12' ! 151 1G8 196 22 7 255 297 32:; 35. > 4U( 129 478 531 JK G18 647 18 88 IU9 12 J 160 178 208 24 b 27l 31C 341 37 .424 404 SIC 562 Gl( 654 685 , 13 aa IIG 13 ;16U 188 219 25 3 285 :J3; 3G1 39" ■ 447 480 545 594 65( 692 723 20 9 122 14 )l7f 198 232 26 7 300 350 380 11 B47{ •.(5 573 625 684 728 761 21 103 128 151 i 187 208 243 28 315 368 39^ 43 )49; >3() 602 65C 71!' 764 800 22 10i> 134 15" r 190 318 255 29 3 i30 385 418 46 )5H 555 631 fif8 753 600 838 23 113 140 16' 1205 228 266 30 7 ;h"> 403 437 48 1645 571 669 719 787 837 876 21 Vf 146 17 !214 238 278 32 360 420 451- 50 I 5 (if 60(i 688 75(1 821 ^73 914 25 123 152 17 3 223 248 289 33 3 37S 438 475 '12 2 58' )fi31 717 781 856 nio n52 ^*j ,— « c> C-3 -* o CJ3 1— •JU Ci *-H CI CO ■8 CO rt CO 05 so CO CO CO CO CQ •* ■^ ■* "* ^ i 1 i 1 n c i i i i 1 1 1 i a 4 a 3 s « s (3 3 s a n P P p p 10 411 444 4G0 490 500 647 577 644 669 70 755 795 840 872 11 451 448 606 639 550 602 634 7(18 734 770 82f 874 924 959 12 49? 632 652 5.sg 6!)0 657 692 772 601 840 90£ 964 1007 1046 13 634 670 698 637 650 712 750 836 868 91(1 97ii 1033 1091 1135 14 57f 622 644 686 700 766 807 901 934 980 105S 1113 U7o 1222 15 61 ( 666 690 736 750 821 865 965 1 001 1050 112s 1192 1259 1309 16 65/ 710 733 784 800 876 923 1029 1 068 1120 1204 1272 ISi:^ 1396 17 69f 755 783 833 850 931 9S0 10941 134 1190 127S 1351 1427 1485 18 73E 799 828 882 900 985 1038 1161*1 201 1260 1354 1431 1611 1571 19 78 843 871 931 950 1040 1096 1222 1 268 1330 143(1 151(1 1696 1668 20 821 888 920 980 1000 1095 1152 1287 1 336 UUO 1505 1590 1679 1745 21 sm 932 968 ifl-^g 1050 1150 1210 22 904 97« 1013 III76 1100 1204 1268 23 94= 1021 1058 1127 115(1 1259 1322. 24 98f 25 1027 1065 1104 1176 1200 1314 1380 1109 1160 1225 1250 1369 1438 Explanation. — Find the length of the log in feet in the left hand column, and its mean diameter in inches (found by adding the two end diameters, and dividing their sum by two) at the heads of the other columns, and trace them 72 SCANTLING MEASUJJE. iintil tliej^eet, and the figures so found will express the num- ber of feet board measure of inch-boards the log will furnish. SCANTLING MEASURE. Table, showing ilie contents (board measure) of scantling of various dimensions. i»f>&:bOt-^CCOOD--4C3Cntt^03tOh- oo rfi» CO f^ (xi)^ ootf*. 00 »^ 00 rf*. ' a* #* ' oojp^' oorf*.* borf*. C3 cs cj ci o o o o o CI C5 cs o'o'oa rf*- QO jKOO (^03 Jl^co' tf..C»' ^SQOOO^^OOCnt^t^CobObCI-^O Oi (^ M L* .— 3 o O 00 ^ cs 01 en -s» « i^ ^- O O CO 00 ** cs en Ot 4^ CC b* H* o £l:K^h^^oK^^9b9to^oK^^a>-t*-tv-•l-•>-•l_lH•.^H')— < p to QC_-J 03 on -^ t; to ^ O » 00 -»1 cs Cl *. W l» r- o o OO -T cs Ot *. M M l-i _Ui W 1,* _— p p 00 C. W *. CO LO — p 00 -J OS «■ H^ to — O «> 00 M 0-1 *. M to 1-1 gOOC5rf>.t5 — 0OC5rf..Nl ~OOCsi^.M w'ooCs'rf^U' '>-303CCC003&9K; r>0tv0K3|.5l>0tOb0l— IS5»w:^twwO00CStn,-t*.-O00--I ooif^ 00*. 00*. Qoit^ co>t^'ao'>^ pl^CCL-OOCOOOCSCii^a-tOh 00 *. 00 lf>. 00 if^ ° or °t yi It to o o -^ ~. «. c; — ::i oo -J ci .(- i^ ►- ^ Co :r. tn ij Li o -.o -1 cs *. w ii CS cs cs cs cs cscscscscscscsocscs C 00 -. C> .^ |- _ 00 cs __. J« r- w 00 _-. U. _ii — O OO CJ wT M — O 00 cs CT 03 1- )^oo n^oo *.oo W' Woo' "i^oo" i;>.oo' '^-oo' I^oo' '«>.oc 00 o" SCANTLING MEASUKE. 73 Table continued. 1 t>s (^ n GO — • til rf>* ci Co ^ be rf^ cs 00 (-' m rf*. ci oo — bs >*>- ci od — o o o o o H-OWC»-^S;if«*-fcOi-*CCOQO'^lCiUirf».WM^OtOCO»ro^i-ii--i--p-*t-«i-* -4 Of^t—Cfti-'Cs -^i—ooijacocc — rf»»i-'tn cs^--iwoowcorf*^»t^os C7«J».*i.fci^tfw>^itkC0WWWWWI>3*Ot>Ots3fcOtOt-»l-i|--l->t-t(-< rf^ 00 rf'-OO tf^CO rfi'QO rf^.00 »(*.00 tf^OO rf».QO t^ 00 f^ 00 CnCnCnC.-^J^tU.rfwt^.tUCisCObSUCOCOhororororoi-ii-'i-ii-ii-i c:5rf».taococ:5t.iw>— co--4rc;»tc^oooo>f-fcooaocrstttCH-OMC?iwt-' CO cocnoaooco>-i_ tsscocnoootoi— > tiocodcaooco-— • bococnococo-' — I-' r- , »— AC%C;iCnCnC7*Cnttk.>(^»(k.ifk.uCOUW&9tOt-t>->l-^ Lwc>oo04-t^o**ii;»w^co--ioiw»-*co-ic;ii>i0ooes*..t«ooooit^to o osttirf!*wtci-» ^ — cooo-icscr'^w fc*i-» ►- — to oo ~^ eft en »;». w to ^ OOOTrf».^co^-aoo3;jtw^co054^l>5»--jo>boOoocsi»:^30-^sJ«l>»0'^yit>SO^WMO'-lCnbO=:-qtni-o0^y^l>SOMWtO ooraosaAoaoonciocaoc: i-iN-i— o»»3t-'Ocotooo-^ocsc?i>f«»tcWfcot-»o •5" no CCCi '.O CflACO 03ACO CCCa^O COOCO COOCO CCACO O<000MCsU»rf*'Wts:*i--OO00^CSW4-WI>»^OC000MeJ0ti*«.C0e0l-» 1^ 74 SCAMTLING MEAS0EB. Table continued. ^1 ;1 ! > '■ 1 i '^ ; OS osw' «oosw woiw .rf».»^COCOtOCjOCObDlNafc*t*fcO>-'l-"-'l-i)-i OQo'oarf'-fcooODca4»'L-*ocooahf».fcaoooca>f>.fcaooocirf>.MOQooarf»^bo w ■ 00 c^osoacac?lOlCn^:?t^^rf».4»^^|!«.^to.coCJOCOCc^s^o^cl^^^^l-'^-'l-*l-• -^CnOiOOOCarf^i— <;D^Uii"COQ00aw-^O^+-t>iiSQ0w-»C0^(OCakM* 05w' o'esw' cDcsco ocatts ooiw cDsaco ocsco ocsco ft CO o ^ ^wT^CFa-ncacacnoicn&i>c>.rf^^»;k.eo»coD3tots9fcoi>9K-ti~*i->i-i »C*3--JCnL*O-M0'b0O^i'iii3-^«ti.>4O^C7tL^O^tnt«O~4Cnfc0 CO, l-J ' o caoscacacsOicsoaoa cacacacsoos QO^.j^^saca O5O5O»Oltt^rf^^^^Urf^Cl^CrtCCC0Mb^^^l-•^-•^-«l- too--irf»-<— cocacoo-^cnt«osa'4>- — oow>cco-4.r.t>socaco — QoUihs CO 1-" ' ooooooo*j~-i*»rscscsoaC7»CfiOta^i^.*^cowc»coMtoMi-»i-»>-* O-M»f-^00CJil^SOC5WO-J*>-'-00^baO0aC0S-J(|^l-»00»iU>OCaCC CO 1— ' Ooo-^o>rf^c>si>socDGocac;i»f^t>:)i-'OQO-^catfh.coMOOoooao«ri^t-'l-»t-"-'l-»^ OOOSsCncCl-*OtXlCa-tC*5>-*OQOClU>COl-'OODCl»iWI-*OOOOiO> CO »|i» X )^ CO rf^OO l^CO M^ 00 tf>- OS tf^CO if^QO >f^ 00 cm ' gaO*'cncnenoi^tt^»^»^»pk.cococaco09toroh9»s9iN9<-'i->H^i-tt-' oooosrf»'t>aooocarf^t<.03ocsrt*.fc*ootios»f-fc«ooo oa.rfk. ti. o oo m rfh. to Oa L - ■■■ -J SCANTLING MEASUEE. 75 Table continued. Feet Long. 1 -> OOrf^ OOrf*- COrf*' 00 rf». OOrffc. 00 tf'' 03ff* OOK^ C»>^ OOri^ 00 t*^CO t^ 00 t^QO tf>.00 t^OO rf^OO hWOO tf-OO HJ..00 #-00 •< OCDO'-CQOOOOO^T^-JOCSOlCnCTiCnrt^tUrfk.tOCOCttMfcOIOI-'^-'l-' h-' o 00 rf>» oorfw ootf^ 00 tf^ oo»t^ ooif*. 001^ Cfn^ cfitt-^ corf*. p-i O O O «500000CD-^^ffSOSOsOfenO»rfi.rfk.rt»>03WfcObOfcOh-l-->-' 1(^ fO — ^OOO<0W0C0000*^-^m0SO0»Cn*.rf*.k)!i.We»bDt0ts5l-'i-* OOatOQO'i-Oacf'OOift-OC-'bOOO^^OCatsSODrft'OOSl.-COOif^OCnbOOOrfk. I*' tN3 CCC:<000::»«^L^O^CnW^CO-4CnC.Oi->W-^Ui|>SOQOa3»Kt^OOOOt;>.bO KJ O ►-O CSCSCVCaOaOlOSCiO301©09OaO40S «oooo-a-^-?Mc:csOsotc?»ot*w*'»^.t^woswh3bObONSi-«i-*i-» *J*-l-'00CJ«t*O-^*-r-000t|>aCCi0SWO-^U»fc050C»CCO'^4>.J-'00W»l>5 -1 OH-' Oi— c — o«o«ocDoooeooM-J*^ooiescncnot>^.t|^»ucococotcNSba — u-l-l — Cftwo-. W0!?swooaw^owocrso30_^. wooscooc. womco OC*rfi.'bolf^'corfi>i OOrf^ OOr^k' OD»W OOtfk. OOlfk. OO^KOOt^ 00 •— ooocoescoooQo-4-4-^eaO»C3ViC»»^aw»Fk.cocoetfhstsi->t-i|-> M00y»i 4'03O=?it^C0Crth--4WO0SbB00Cn^'MWO0S10Q0CJ»^M00 1 , . , 76 SCANTLING MEASUKE, Table continued. 63 ^^^^oto^^3fccbSl^^fcO^BtO'— '►"'•"'i-^*"'^^^^'"'^^^^ r en o ' t-oocRiii.fca ^Qoo>rf».to t-tQobsrf^-bo i-bocj*.fcO i-bocs^-tc o o o o o CI 0•^-00^^-^--^^^*•0-^Ol^OC;CO•^asto:OU^L•OOOi."r-00^^^— *Jri4.0"^OS CJ C3oao>C3C3C30C3Ci ooncacaoa CO ^ o — o 00 t^ 00 t^CO rf».00 rf^CO f^OO tf^OO tf^OO tf^OO tl^CO tf-^OO Qita oow CO C3 w <:o a w o Oi m o a w cs a w co s: m 00 00 O*f*O>f>.00W00fc«^ti'C5r-0iO*'-=5rf^O^G0C000L>&-li^S;.— OSOCn CO 1^ CO >fi>- CO t^ 00 >^ GO »P>> 00^ 00 rf^ ,0011^ 00 rf^ 00 r^ or)-icics:^'ii»rf»'CowMtat"'00cowoo-«*^escsCjtif>.rfh.cowto.-'M 0'^OD>^c:0'r-ooL'>;/Ca:=;rf^ooi>9caot4»>ooL'OC30»f>'X>Lwoawrf^oot>9a» 00 cr c>y3oo'»-iCT>csV'4^»tkCciN:'r6^=o«ocao*»osoc;»>f»>*.cot>oMi-. 00 tf^OO l^CO rfi'^^OO t^OO tf^OO )^00 l^CO ri^CD 1^.00 »F^00 c 1 C3 1 SCANTLING MEASUKK. , 77 Table continued. ii'eut Long. !) by 10 7.6 9 by 11 8.3 10 by 10 10 by 11 10 by 12 U by 11 in.l 11 by 12 1 8.4 9.2 10. 11. 2 15 16 6 16.8 18.4 20.. 20.2 22. 3 22. G 24.9 25. 27.6 30. 30.3 33. 4 30. 33. 33.4 36.8 40. 40.4 41. 6 37.6 41.3 41.8 45.10 50. 50.5 55. G 45. 49.6 50. 55. 60. 60.6 66. 7 52.6 57.9 68.4 64.2 70. 70.7 77. 8 CO. 66. 66.8 73.4 80. 80.8 88. 9 67.6 74.3 75. 82.6 90. 90.9 99. 10 75. 82.6 83.4 91.8 100. 100.10 110. 11 82.6 90.9 91.8 100.10 110. 110.11 121. 12 90. 99. 100. 1!0. 120. 121. 132. 13 97.6 107.3 108.4 119.2 130. 131.1 143. 14 105. 116.6 116.8 128.4 140. 141.2 154. 15 112.6 123.9 125. 137.6 150. 1.51.3 165. 1« 1-20. 132. 133.4 146.8 160. 161.4 176. 17 127.6 140.8 141.8 1.55.10 170. 171.5 187. 18 135. 148.6 150. 165. 180. 181. G 198. 19 142.6 156.9 158.4 174.2 190. 191.7 2"9. 20 150. 165. 1(16.8 183.4 200. 201.8 220. 21 157.6 173.3 175. 192.6 210. 211. 9 231. 22 165. 181.6 183.4 201.8 220. 221.10 242. 23 172.6 189.9 191.8 210.10 230. 231.11 253. 24 180. 198. 200. 220. 240. 212. 2B4. 23 187.6 206.3 208.4 229.2 250. 252.1 275. ' 26 195. 214.6 216.8 238.4 260. 2fi2 2 2^6. 27 20?. 6 222.9 225. 2->7.6 270. 272.3 297. 28 210. 231. 233.4 2i6.8 2S0. 282.4 308. 29 217.6 239.3 241.8 265.10 290. 292.5 319. 30 225. -.47.6 2S0. 275. 300. 302.6 1 3aO. Explanation. — Find the length in feet in the left hanc I column, and the dimensions of the sides in inches at the head of the other cohimn, and underneath the latter and opposite the length will be found the contents in feet and inches board measui'e. CASK-GAUGmG. ■M J Casks are usually comprised under the following figures, VIZ. 1. The middle frustum of a spheroid. 2. The middle frustum of a parabolic spindle. 3. The two equal frustums of a paraboloid. 4. The two equal frustums of a cone. Their contents can be computed by the rules for ascer- taining the contents of these figures. But in almost all ordinary casks the Mlge or swell from CASK-GAUGING. 79 the Imng to the head (not from head to head) is so small, that they are, with scarcely an appreciable difference in the results, usually regarded as the two equal frustums of a cone, and are very accurately gauged by three dimensions, as follows : To find the contents of a cash-hy three dimensions. EuLE. — ^Add the bung and head diameters in inches, and divide them by 2 for the mean diameter ; find the area of the mean diameter in the table of the areas of circles on page 298 and multiply it by the length of the cask in inches ; then divide the product by 231 (the cubic inches in a gallon), and the quotient will be the number of gal- lons the cask contains. Example. — "What are the contents in gallons of a cask, the bung diameter of which is 22 inches, the head diameter 20 inches, and the length 32 inches ? Solution. — 224-20=42-^2=21, mean diameter: then 346.36, area of mean diameter, x 32=11083.52-231 = 47.98 gallons. Ans. When the cask is much bilged or rounded from the bung to the head, a more accurate way is to gauge by four dimensions, as follows : Tofimd the contents of a casJe Jyyfour dimensions. EuLE. — Add the head and bung diameters in inches, and the diameter taken in inches in the middle between the bung and head, and divide their sum by 3 for the mean diameter ; find the area of the mean diameter in the table 80 CASK-GAUGING. of the areas of circles on page 298 and multiply it by the length of the cask in inches and divide the product by 231 (the cubic inclies in a gallon), and the quotient will be the contents of the cask in gallons. Example. — "What are the contents in gallons of a cask, the bung diameter of which is 24 inches, the middle dia- meter 20 inches, the head diameter 16 inches, and its length 40 inclies ? Solution-— 24 -f 20 -I- 16 = 60 -r- 3=20, mean diameter:- then 314.16, area of mean diameter, x40 inches, length = 12566.40-1-231=54.4 galls. Ans. CAPACITY OF BOXES. A box 24 inches by 16 inches square, and 28 inches deep, win contain a barrel (5 bushels). A box 24: inches square and 14 inches deep, will contain half a barrel. A box 26 inches by 15.2 inches square, and 8 inches deep, will contain one bushel. A box 12 inclies by 11.2 inches square, and 3 inches deep, will contain half a bushel. A box 8 inches by 8.4 inches square, and 8 inches deep, will contain one peck. A box 8 inches by 8 inches square, and 4.2 inches deep, will contain one gallon. A box 7 inches by 4 inches square, and 4.8 inches deep, will contain half a gallon. A box 4 inches by 4 inches square, and 4.1 inches deep, will contain one quart. 4* CAPACITY OF WAGON-BEDS. Wagon-Beds. In most of the Eastern and many of the Western cities all market-men and traders, who make use of their wagon-beds as measures, are required to have them gauged and their capacity stariiped on them by, an officer appointed for that purpose. The wagon-makers in the country should stamp the contents in bushels on each bed they make before it leaves the shop. Should it be neglected, the following rule will enable every farmer to measure the contents in bushels of his wagon-bed for himself: To find the contents of wagon-ieds. KuLE. — If the opposite sides are parallel, multiply the length inside in inches, by the breadth inside in inches, and that again by the depth inside in inches, and divide CAPACITY OF WAGON-BEDS. 83 the product by 2150.42 (the number of cubic inches in a bushel), and the quotient will be the capacity in bushels. Example. — ^What is the capacity of a wagon-bed 10 feet long, 4 feet wide, and 15 inches deep ? SoLUTioiT. — 120 inches, length, x 48 inches, width, x 15 inches, depth, =86400-^-2150.42=40 bushels. Ans. BuLE 2. — Should the head and tail boards, or either of them, be set in> bevelling, add the top and bottom lengths together and divide by 2 for the mean length, and proceed by the foregoing rule. Should the sides be sloping, add the top and bottom widths, and divide by 2 for the mean width, and proceed by the foregoing rule. Should the contents be required in cubic feet, divide the product by 1728 (the number of cubic inches in a cubic foot), instead of 2154.42, and the quotient will be the con- tents in cubic feet. PALSE BALANCES. To detect false halcmces, scales, (&o. Rule. — After weighing the article transpose the weight and the article weighed, and if the latter is too light the weight will preponderate; if too heavy the article will preponderate. To find the true weight. Rule. — After transposing them as above, find the addi- tional weight that will produce an equilibrium : weigh it with the article by the same balances: multiply the two false weights thus found, together, and the square root of the product will be the true weight. Example. — An article weighs T lbs. by a false balance : transposed it is found too light, and requires an additional weight to produce a coimterpoise : this additional weight is found by the same balances to have a false weight of 9^ lbs. "What is the true weight of the article ? FALSE BALANCES, 85 SoLtmoN. — 9| X 1=64:, the square root of which is 8 lbs., the weight. Ans. Example 2.— An article weighs 7 lbs. : transposed it is found too hea/vy, weighing only h\ lbs. by the same scales. What is the true weight ? Solution.— 7 x 5-^=36, the square root of which is 6 lbs., the true weight. Ans. Note. — In the 1st example the additional weight is added to the article to produce the equilibrium: in the second example the deficiency is taken from the weight to produce the counterpoise. CISTEENS. To jmd the number of gallons in square or oblong sgvm-e cisterns. KuLE. — Multiply the length in inches by the width in inches, and that by the depth in inches, and divide the pro- duct by 231. The quotient will be the number of gall(»ns. Example. — Given, a cistern 6 feet long by 3 feet wide and 4 feet deep ; how many gallons will it contain ? Solution.— 72 inches, length, x36 inches, width, 'x4:8 inches, depth,=124416-T- 231 =538.59 galls. Ans. To find tlie number of gallons in triangula/r cisterns. EuLE.— Multiply the base a' I in inches, by the perpen- dicular height c din inches, and half that sum by the depth in inches, and divide the product by 231. The quotient will be the number of gallons. " Example. — Given, a triangular cistern 8 feet at the base or longest side, 7 feet in perpendicular height, 4 feet deep. How many gallons will it contain ? CISTERNS. 87 Solution.— 96 inclies, base, x 84, perpendicular height in inches,-r2=4032x48, depth in inches,=112896H-231 =488.72 galls. Ans. To find the number of gallons m circular cisterns. EuLE. — Find the area of the circle in square inches, in the table of the " Areas of Circles," on page 298, or by the rule given on page 296. Then multiply the area by the depth in inches, and divide the product by 231. The quo- tient will be the number of gallons. Example. — Given, a cistern 8 feet in diameter by 5 feet deep. How many gallons will it contain ? SoiiUTlON. — Area, the diameter being 96 inclies 7238.3 Multiplied by 60 in. , the depth, gives 43439. 20 Dividedby331,oubicin.inagall., " 1880. gaU. Ans. Table, showing the contents of circular cisterns from 1 foot to 25 feet in diameter, for each 10 inches in depth. DIAMETER. 1 ' n 2 3 H 4 5 6 GALLONS. DIAMETER. GALLONS. 4.896 n 271.072 11.015 8 313.340 19.583 ■ ^ 353.735 30.545 • 9 396.573 44.064 H 441.861 59.980 10 -489.600 78.333 11 592.400 99.116 12 705. 122.400 13 827.450 148.546 14 959.613 176.253 15 1101.610 206.855 20 1958.421 239.906 25 3059.934 CISTERNS. To find the number of gallons in Imb-shaped cisterns. EuLB.— Find tlie cubes of the top and bottom diameters in inches, by means of the table on page 303, divide the difference between those cubes by the difference of the diameters in inches, and multiply this quotient by .7854, and again by i of the depth in inches, and divide the pro- duct by 231. The quotient will be the number of gallons. Example.'— Given, a tub-shaped cistern of a top diameter of 10 feet, a bottom diameter of 8 feet, and 6 feet deep. How many gallons wiU it contain? Solution —Cube of 120 inches, the top diameter, 1738000 " 96 " " bottom " 884736 DifEerenoe between cubes of diameters, 843364 Divided by 34, difference of diameters, gives . 35136 MultipUed by .7854, gives 27595.8144 " again by S4,J the depth in inches, gives 663399.5456 Divided by 231, cubic inches in a gallon, gives 2867.09 galls. Ana. Ettle 2. — Add the top and bottom diameters in inches and divide by 2 for the mean diameter. Find the area in square inches of the mean diameter by means of the table on page 298 or by the rule given on page 296. Multiply the area by the depth in inches, and divide the product by 231, and the quotient will be the number of gallons. Example. — ^What are the contents in gallons of a cistern 8 feet diameter at the top, 6 feet at the bottom, and 4 feet deep? CISTERNS. 89 Solution. — 96 inches + 72 inches = 168-j-2=84 inches, mean diameter ; o^hen 5541.77, area of mean diameter, x 48 inches, depth,=266004.96-^ 231=1151.53 gallons. Ans. x^oTE. — The- quantity of water which falls upon most farm buildings is sufficient to afford an ample supply for the domestic animals of the farm, when other supplies fail, were cisterns large enough to hold it provided. The aver- age amount of rain that falls in the latitude of the Northern States during the year, is about 3 feet per year, or 3 inches per month. Every inch in depth that falls upon a roof yields 2 barrels for each ten feet square, and 72 barrels a year are yielded by 3 feet of rain. A bam 30 W 40 feet supplies annually from its roof 864 barrels, which is more than 2 barrels per day, the year round. The size of cisterns should vary according to their in- tended use. If they are to furnish a daily supply of water, they need not be so large as for saving supplies against summer and droughts. The size of the cistern in daili/ use need not exceed that of a body of water on the whole roof of the building, 7 inches deep, or two months' greatest fall of rain. Cisterns intended to save the water to draw from in time of drought, should be about three times as large. To ascertcdn the size of cisterns adapted to roofs, cfcc. KuLE. — ^Multiply the length of the roof in inches by the breadth in inches, and that by the depth of the fall of rain required to be saved, and divide the product by 231, and 90 OISTEENS. the quotient will be the number of gallons. Divide the number of gallons by 31^, and it will giip the number of barrels. Example. — "What must be the capacity of a cistern to contain the water running from a roof 40 feet long by 30 wide, for 2 months : estimated fall of rain Y inches ? Solution. — i80 inches, length, x 360 inches, width, x 7 inches, depth of rain, =1909600^231=8266f galls. Ans. Note. — To ascertain the necessary dimensions of a cis- tern large enough to contain 826 6|- gallons, consult the foregoing table. It will there be found that a cistern 13 feet in diameter contains 827 gallons for "each 10 inches in depth. To give the cistern 10 times that depth, or 100 inches (8-^ feet) will make it contain 8270 gallons. Hence a cistern 13 feet in diameter, and 8^ feet deep, will be large enough. To further aid the inquirer in ascertaining the requisite diameters of cisterns for the above purposes, we subjoin an additional Table, showhig the contents of circular cisterns in iarrds for each foot in depth. 5 feet 4.66 6 " 6.74 7 " 9.13 8 " 11.93 9 " 15.10 10 " •. 18.65 OISTEENS. 91 The above cut represents the sectional view of a filtered cistern, with a brick wall partition in the middle and the box of charcoal and sand at the bottom, with alternate layers of each. The pipe at the left leads from the roof, and the one at the right connects with the pump. "With this style of cistern properly constructed, no one need be in want of pure wholesome water. To construct a filtering cistern to furnish pure water for domestic use. Rule. — Divide the cistern into two equal compartments by a wall of brick or stone, open at the bottom to the height of about six inches, and water-tight thence to the top. Let one compartment be for receiving the water, and the other for containing it when filtered and ready for use. Put alternate layers, 6 inches deep, of gravel, sand, 92 CISTEKNS. and pounded charcoal at the bottom of the former, and Band and gravel at the bottom of the latter. The former will receive the water from the pipe, and it will rise filtered in the latter. Anothek .Mode. — ^Divide the cistern as above by a double open wall of stone or brick, with an interspace of about six inches between the walls. Fill the interspace with sand and pounded charcoal. Let one compartment receive the water, and it will pass through the filter into the other ready for use. HYDEAULIOS. The science of hydraulics treats of the motion of non- elastic fluids ; hydrodynamics, of the force of that motion ; and hydrostatics, of the pressure, weight, and equilibrium. THE FUNDAMENTAL LAWS OP HYDRAULICS, &c. 1. Descending water is governed by the same laws as falling bodies. 2. Water will fall 1 foot in ^ of a second, 4 feet in ^ a second, and 9 feet in f of a second, and so on in the same ratio. 3. The velocity of a fluid propelled through an oriflce by a head of water in a cistern or reservoir, is the same that a body would acquire by falling perpendicularly through a space equal to that between the top of the head and the centre of the opening, less the friction which, in pipes, drains, amd sluices, increases as the squa/re of the velocity. 4. The mean velocity of water propelled through an opening by a head of 1 foot is 5f feet per second. : 5. Fluids press equally in all directions. 6. The pressure of a fluid on the bottom of a vessel is as 94 HYDKAULICS. the base and perpendicular height, whatever may be the figure of the vessel. 7. The pressure of a fluid on any kind of surface, hori- zontal, vertical, or oblique, is equal to the weight of the column of the fluid, the base of which is equal to the area of the surface pressed, and the height of which is equal to the distance from the surface of the fluid to its centre of gravity, on the surface pressed. 8. The side of a vessel filled with water sustains a pressure equal to the area of the side ftiultiplied by half the depth, whether the i sides be vertical, oblique, or hori- zontal. 9. If the vessel be tub-shaped, or in the form of an in- verted frustum of a cone or pyramid, the bottom sustains a pressure equal to the area of the bottom and the depth of the fluid. 10. The quantity of water that will flow out of a per- pendicular slit or aperture from the surface of the head to its base, is but two-thirds of what would flow out of a slit of the same dimensions were it horizontal -at the level of the base. 11. A circular pipe of the same area as a square, tria/n- gular, or irregular one, will discharge more water in a given time. 12. The greater the length of the discharging pipe, the less the discharge, unless the pipe be perpendicular. HYDEAULICS. 95 13. A pipe that is inclined will discharge more water in a given time than a horizontal pipe of the same dimen- sions. 14. The friction of a fluid is greater in small than in large pipes, when equal quantities are discharged. 16. In perpendicular pipes, the discharge being governed by the law of gravitation, the greater the length of the pipe, the greater the discharge. 16. When a prismatic vessel empties itself through an aperture, twice the quantity would be discharged in the same time if it were kept full. 17. . In a stream, sluice, or ditch, the velocity is the greatest at the surface and in the middle of the current. 18. The time occupied by a given quantity of water passing through pipes or sewers of equal apertures and lengths, and with equal falls, is in the following propor- tions, viz. : In a straight line, as 90 ; in a regular curve, as 100 ; and in passing a right angle, as 140. To jmd the velocity of a stream issuing from a head of water. Ktjle. — Multiply the height of the head in feet by 64.33, and the square root of the product will be the velocity in feet per second. Example. — ^What is the velocity of a stream projected through an opening by a head of 12 feet ? 96 HTDEAULICS. ■ Solution. — 12x64.33=771.96, the square root of which is 27.780 feet per second. Ans. To find the hsad, the velocity leing given. Rule. — Square the velocity and divide it by 64.33, and the quotient will be the head in feet. Example. — ^What is the head of water that projects a stream 27.780 feet per second ? Solution.— 27.780'=771.96-7-64.33=12 feet. Ans. ISToTE.— In the above results no allowance is made for friction, which should be made in order to ascertain the practical results. The friction of water passing out of orifices, and not through pipes, sluices, or sewers, is, how- ever, very small. To find the quantity of water that will issue from an opening, the dimensions of the opening a/nd the head hevng given. EuLE. — Find the velocity of the jet or stream by the foregoing rule, and multiply it by the area of the orifice in feet, and the product will be the number of cubic feet per second the orifice will discharge. Example. — ^How much water will an orifice of an area of 2 square feet discharge per second under a head of 12 feet? Solution. — 12x64.38=771.96, the square root of which is 27.780 feet velocity; then, 27.780x2 feet, area,=55^ cubic feet per second. Ans. HYDEAULI08. 97 To Jmd the velocity of currents in d/rains, ditches, sluices, hroohs, or rivers. KuLE. — Find the velocity of the surface of the current in the middle of the stream by taking the number of inches a floating body passes over it in one second. This, for all ordinary practical purposes, will be suffi- cient. But to find the mecm or average velocity, take the square root of the velocity so found, double it, and deduct it from the velocity at the top, and add one to the remainder, and the result vrill be the velocity at the bottom. Add the top and bottom velocities, and divide them by two for the mean velocity. Example. — ^What is the mean velocity of a cun-ent, the velocity of which at the surface, in the middle of the stream, is 36 inches per second ? Solution.— |/36=6 x 2=12-36 = 24 + 1=25, velocity 5 98 HTDEAULIOS. at bottom; then, 36 + 25 = 61 -f- 2 =30.5 inches per second, mean velocity. Ans. To find the volume of water discharged hy drains, sluices, IrooTcs, dhc, of gimen dimensions, in a gi/ven time. Rule. — Multiply the velocity of the current per second in feet, by the area of the transverse section of the drain or sluice, in feet, and the product will be the quantity dis- charged per second, in cubic feet. Example. — What volume of water will a drain 2 feet wide and 3 feet deep discharge in one hour, the mean velo- city of the current being 30 inches per second? Solution.— 2x3=6 sq. ft., area of section x 2^ ft., velo- city,=15 cubic feet discharged per second; then, 15 x 3600 seconds (one hour)=54,000 cubic feet per hour. Ans. ]^0TE. — The standard gallon contains 231 cubic inches, and a cubic foot contains 1728 cubic inches. Accordingly, a cubic foot of water contains 7.4-T6 standard gallons. Hence, if we multiply the number of cubic feet by 7.476, it will give the number of gallons. For instance, the drain in the above example discharges 54,000 cubic feet per hour, which, multiplied by 7.476, gives 403,704 gallons discharged per hour. To find the velocity of water rvmmAng through pipes. EuLE. — Multiply the height of the head in feet by 2500; divide this product by a divisor obtained as follows : Di- HYDKAULIOS, 99 vide 13.88 by the diameter of the pipe in inches, and mul- tiply the quotient by the length of the pipe in feet, and the result will be the divisor aforesaid. Divide the first product by this sum, and the square root of the quotient will be the velocity in feet per second of the current in the pipe. Example. — What is the velocity of water in a pipe 5 inches diameter and 100 feet long, and under a head of 2 feet? Solution.— 13.88-4-5=2.776x100=277.6 and 2500x2 =5000; then, 50004-277.6=18, the sq. root of which is 4.24 feet. Ans. To jmd the quamiity of water dischwrged through pipes. EuLE. — Multiply the velocity of the current per second in feet by the area of the transverse section of the pipe in feet, and the product will be the quantity discharged in cubic feet per second. , Example.' — What quantity of water will a pipe 6 inches diameter and 100 feet long discharge per hour under a head of 2 feet? Solution. — By the preceding rule, find the velocity of the current in the pipe, thus: 2500x2 feet, head, =5000, 13.88-r6 inches, the diameter of the pipe, = 2.313 x 100 feet, length of the pipe, = 231.3, divisor; 5000-4-231.3= 24.34, the square root of which is 4.80 feet, velocity per second. Then, 4.80 x .1963 square feet, area of pipe,= 100 HYDRAULICS. .942 cubic feet discharged pei second. .942 x 3600 seconds (one bour)=3391 cubic ft. discharged per hour. Aris. To find the pressure of a fluid on the bottom of a vessel, cistern, or reservoir KuLE. — Multiply the area of the base in square feet by the height of the fluid in feet, and their product by the weight of a cubic foot of the fluid. Example. — ^What is the pressure on the bottom of a cistern 10 feet in diameter and 8 feet deep, filled with water ? Solution.— 78.54, area of bottom, x 8=628.32 x 62J lbs., the weight of a cubic foot of water,=39.370 lbs. Ans. , * To find the pressure on the side of a vessel. EuLE. — ^Multiply the area of the side in feet by half its depth in feet, and that by the lbs. per cubic foot of the fluid. Example. — "What is the pressure upon the sloping side of a pond 10 feet square by 8 feet deep ? Solution.— 10'= 100x4, half the depth,=400 x 62^ lbs., the weight of a cubic foot of water, =25000 lbs. Ans. Note. — It is proper to remark that all of these rules, while they are theoretically correct, do not pretend to em- brace a variety of circumstances which affect the flow of water through apertures, and which should be taken into consideration in all cases. These circumstances cannot be HYDEAULICS. 101 measured by rules, and the just estimate of their influence must depend on experience. 1. Water will flow more rapidly from an aperture in a ^vessel if a funnel-shaped tun or a rapidly widening trough be attached to it on the outside. This prevents, so to speak, the intercrossing of the currents as they flow over the sides of the aperture ; instead of obstructing itself, by reason of its tendency to cross the centre of the opening, the water follows the sides of the funnel or trough, and allows the full area of the opening to discharge fi-eely. 2. The ease with which a given quantity of water can be made to pass through a pipe depends (other things being equal) upon the proportion between the area of the opening and st circumference — the latter being a source of friction. (See NoS. 14 and 11 above.) 3. The ease of the flow depends on the perfect uni- formity of the channel. A lump or any other inequal- ity in the sid^ of a pipe will disturb the current and cause the water to obstruct itself. Perfect /b/'?» is more import- ant than a smooth surface. 4. The same principle operates in the case of deflections from a straight line. If the water is turned out of its course the evenness of the flow is disturbed, and it becomes mtjre diflicult (see No. 18 above). The influence of a "regular curve" is in proportion to its radius; more water will flow through a pipe which turns in a large circle than in one which turns more abruptly. l'©2 This cut is intended to illustrate the use of the Hydraulic Earn ; repi'esenting one operated by the water, from a spring near which it is located, and forcing the water through suitable leading and discharge pipe, to a considerable elevation (either perpendicular or upon an inclined plane) to a trough, which may be placed in any convenient locality for watering farm stock of every description, — afibrding a constant supply of fresh water the year round. It may also be used to supply a cistern or a water-tank in the house. -^ THE HYDEAULIC KAM. • The hydraulic ram is a machine for forcing a portion of a brook or stream to any required elevation and distance, when the requisite head or pressure can be obtained. "Wherever a large spring or a limited but constant stream is at hand, by which a fall of four or five feet may be pro- duced, by building a dam or otherwise, a portion of the water of such spring or stream may be raised to a perpen- dicular height of more than 100 feet by its own power, through the agency of the water-ram. Thus, a stream in a deep valley, or a rivulet or brook situated some distance below a point where it is desired to have a cistern or re- servoir, may be made to raise a part of its water by one of these machines. From such a cistern or reservoir the water may afterwards be conveyed to any part of the pre- mises below it, and applied for the purpose of irrigation, watering of stock, manufactories, or domestic or ornamental use. The power of "the ram, and the height to which it will raise the water, as also the quantity raised, are in propor- tion to the volume of the stream and the head or fall ob- tained. The ram is applicable where no more than 18 inches fall can be obtained. 104 THE HYDEAULIO EAM. The distance which the water has to be conveyed, and the consequent length of pipe, have also a bearing upon the quantity raised and its elevation, as the larger the pipe through which the water has to be forced, the greater the friction to be overcome, and the more the power consumed in the operation. The ram can be applied to convey water a distance of from 100 to 200 rods, and to elevations of from 100 to 200 feet. A fall of 10 feet from the spring or brook to the ram is sufficient to force the water to any elevation not over 150 feet above the ram, and in distance not over 150 rods from it. Although the same fall will raise water to a much greater elevation, and force it to a greater distance, yet the quantity will diminish as the height and distance &ie in- creased. When a sufficient quantity of water is raised by an ade- quate fall the fall should not be increased, as by so doing the strain upon the ram is unnecessarily increased, and its durability lessened. The proportion which the height to which the water is raised, and the quantity raised, bear to the fall and to the volume of the spring or stream, is about live times the height of the fall, and \ of the volume of the stream forced a distance of 50 rods — allowing for the friction in both the supply and discharging pipes. THE HYDRAULIC EAM. 105 Thus, if the ram be placed under a fall of 5 feet, for everj' 7 gallons drawn from the spring, 1 gallon may be raised 25 feet, or ^ a gallon 50 feet, and forced a distance of 50 rods. If the fall be 10 feet, it will raise one gallon 60 feet, or ^ a gallon 100 feet, for every 7 gallons dis- charged by the stream. If the fall be 10 feet, and the vol- ume of the stream he dovMed, it will raise 1 gallon 100 feet, and so on in the same ratio. The pipe leading from the spring or head of the fall to the ram is called the supply pipe. The pipe leading from the ram to the reservoir or cistern is called the discharging pipe. The shorter and straighter the supply pipe, the better. Hence, imless the supply pipe is laid to the head of a spring, it is better to dam the stream at the head of its greatest fall, and after inserting the supply pipe at the base of the dam, let it follow the depression of the bed of the stream to the ram at the lowest point. The shorter and straighter the discharging pipe the bet- ter ; there is less friction to be orvercome. Should it be necessary to curve either pipe, let the radius of the curve be as large as possible. To asoertadn the quantity of water and the height ito which it may he elevated hy a given fall and volume of water — discharging pipe not over 50 rods. Rule. — Find, by means of a common level, the fall of your spring or stream ; then find the quantity of water it 5* 106 THE HTDRArLIO BAH. discharges per minute or hour, by means of the rule given for that purpose on page 98 ; then multiply the height of the fall by 5, for the elevation, and divide the number of gallons discharged by the stream by 7, for the quantity of water raised. Example. — Given, a spring with a fall of 8 feet, dis- charging 28 gallons per "minute. How high and how much water will it raise per minute by means of a ram — discharging pipe not exceeding 50 rods ? Solution. — 8x5=40 feet elevation. 28-^7=4: gals, per minute. Ans. Note. — In the same ratio, it will raise 2 gallons 80 feet per minute, or 1 gallon 160 feet per minute, and so on. The following working results of water rams now in actual use, will enable the inquirer to ascertain the elevat- ing capacity of springs, with various falls and volume of water. The rams used are " Kumsey & Co.'s Premium Hydraulic Rams," Seneca Falls, N. Y. 1. — Fall from surface of water in spring to ram 4 feet. Length of supply pipe, inside diameter 1 inch 60 " Volume of water discharged by spring in 10 minutes 25 gallons. Length of discharging pipe, inner diameter f inch, curved in three places to a semicircle ISO feet. Elevation of discharging pipe from ram to cistern 19 ." Discharged every ten minutes SJgallons. 2. — Fall from surface of water in spring to ram 10 feet. Length of supply pipe, inside diameter IJ inches 40 " Volume of water discharged by spring per minute 20 gallons. Length of discharging pipe, \ inch inside diameter. 50 rods. Elevation of discharging pipe from ram to cistern 85 feet. Discharged per minute - 2} gallons. THE HTDRAULIO BAM. 107 3 — ^Fall from Biirface of water in spring to ram SJ feet. Length of supply pipe, inside diameter 1 ^ inches 30 '* Volume of water discharged by spring ' not given. L:!ngth of discharging pipe inside diameter J inch 30 ruds. E'evation of discharging pipe from ram to cistern 33 feet. Discliarged a constant stream ^ inch diameter. 4. — Fall from surface of water in spring 12 feet. Length of supply pipe, inside diameter 1^ inches 32 " Volume of water discharged by spring. not given. Leagth of discharging pipe, inside diameter J inch 14 rods. Elevation of discharging pipe from ram to cistern at barn 35 feet. Discharged a constant stream J inch diameter, at barn, afford- ing more than a supply for 6^ head of cattle. 5. — Fall from surface of water in spring to ram 9 feet. liength of supply pipe, inside diameter one inch 60 'J Volume of water discharged by spring. -. not given. Length of discharging pipe, inside diameter i inch 100 feet. Elevation of discharging pipe from ram to cistern 35 " Discharges a constant stream. J inch diameter, into a cistern at house and after supplying water for the domestic use of a large family, passes off to the cattle yard 20 rods further, affording an abundant supply for a large herd of cattle. 6. — Fall from surface of water in spring to ram 8 feet. Length of supply pipe, inside diameter 1 i inches not given. Volume of water discharged by spring " Length of discharging pipe, J inch inside diameter 70 rods. Elevation of discharging pipe from ram to cistern 80 feet. Delivers a good supply of running water at house and bam, sufficient for all necessary purposes. 7. — Fall of water from surface of spring to ram 10 feet. Length of supply pipe, inside diameter 1 J inches not given. Volume of water discharged by spring " Length of discharging pipe. ^ inch inside diameter. . ; 76 rods. Elevation of discharging pipe from ram to cistern 110 feet. Delivers a constant stream of J inch diameter. 8.— Fall from surface of spring to ram 6} feet. Length of supply pipe, inside diameter 1 J inches 60 rods. Elevation of discharging pipe from ram to cistern 60 feet. Discharges sufficient water In barn yard to supply 30 head of cattle. 9.— Fall from surface of spring to ram_. 9 feet. Size of supply pipe, inside diameter 2 inches, length not given. Length of discharging pipe, inside diameter | Inch 150 rods. Elevation of discharging pipe from ram to cistern 130 feet. Delivers an abundant supply of water for house, barn, barn-yard and hog- pen. 108 THE HYDEAULIC EAM. 10. — Fall from surface of dam to ram 1 feet. Length and size of supply pipe not given. Volume of water discharged by stream " Length of discharging pipe, (size not given). 126 ^ rods. Elevation of discharging pipe from ram to cistern 75 feet Discharges '26 barrels of veater in 2i hours. 11. — Fall from spring to ram 11 feet. Size of supply pipe, 2 inches calibre ; length 42 " Length of discharging pipe, i inch calibre 75 rods. Elevation of discharging pipe from ram to cistern 98 feet. Discharges over 30 barrels of water per day. Note. — The size, strength, and weight of the supply and discharging pipes must be in proportion to the head or pressure on them. They are proportioned and adjusted to the capacity of the ram by the manufacturer, and are gen- erally sold with the machine. When a very large supply of water is required for manu- facturing or other purposes, and a stream of sufficient vol- ume and fall is obtained, it is better to set two or three rams of a smaller size, all playing into one discharging pipe, than to set one large ram. If one ram becomes dis- abled, the others supply the demand. Should the fall and volume of one stream or spring not supply enough water, and. at the required elevation, and there be other springs near by, set a ram in each, all meet- ing in one discharging pipe. Their combined power will increase the elevation and the quantity raised. The pipes can be so laid, and tJie rai^ so set, as to pro- tect them from the frost during the winter. The fall of one spring or stream may be used to raise the water of another and better sprihg or stream, whose own fall is not suiScient. THE HTDEAULIC EAM. 109 Mr. H. L. Emery, of Albany, in a communication to the Cmmiry Gentleman, says : " The result of a water ram is calculated upon the principle that a pound of force will raise a pound of water an equal height, and a less quantity to a greater height, which height is limited only by the strength of the pipes themselves. " To enable any one to select the size ram it is necessary to compute the elevation to be overcome, and the greatest amount of fall which can be conveniently obtained, and divide the first by the last, and the quotient will be the proportion of the water (passing through the drive-pipe) which will be raised ; first, however, deducting for waste of power and friction say \ of the amount ; thus, with ten feet fall and one hundred feet elevation, one-tenth of the water would be raised, if there were no friction or loss ; but deducting, say one-quarter for loss, and 7^ gallons for each 100 gallons would be raised, all the balance of the water being required or wasted to accomplish this result." THE HTDKAULIC PEESS. The Hydraulic or Hydrostatic Press is a machine by whicli a small force may be made to exert a great pressure. Its construction may be understood by the above cut. Two metallic cylinders, A and B, of different sizes, are joined together by a tube K. In the small cylinder there is a piston f which can be moved up and down by the handle THE HYDEAULIC PEBSS. Ill M. In the large cylinder there is also a piston P, having at its upper end a large iron plate, which moves freely up and down in a strong frame-work Q. Between the iron plate and the top of this framework the body to be pressed is placed. Now, when the small piston is raised, the cylinder A is filled with water drawn from the reservoir H, below, and when it is pushed down this water is forced into the large cylinder through the pipe K. There is a valve in this tube which prevents the water from returning, so that each stroke of the small piston pushes an additional quantity of water into the large cylinder. By this means the large piston is pushed up against the body to be pressed. To cal- culate the pressure exerted by the large j^iston we must remember that' the force acting upon the piston in A, will be exerted upon every equal amount of surface in B. To illustrate this : suppose the area of the large piston to be 10 times the area of the small one ; then one pound at A will produce a pressure of ten pounds at P. The handle M in- creases the advantage still more, according to the principle of the lever to be explained in a future chapter. By in- creasing the size of the large cylinder, and diminishing the size of the small one, the pressure exerted by a given power M'ill be increased proportionately. The weight of a man's hand might thus be made to lift a ship with all its cargo. The only limit to the increase of power would be the strength of the material of which the machine is made. WEIGHT OF LEAD PIPE. TAitE, showing the weight of lead pipe per yard, from J to 4J- indies diameter. Weight in lbs. az. \ inch medium '• " strongr; i " lighL " " medium " " strong " " extra strong , , I " light " " medium " " strong " " extra strong. f " " light... " " light " " medium " " strong " " extra strong. 1 " •• light.. " " light medium strong extra light, . . light... medium strong extra strong 1.000 4469 .625 82.89 1172 80 100 .919 4;41 .637 33.52 1070 32 95 .855 3821 .401 21.10 8ifi 89 »1 .829 3705 .509 26.78 848 32 81 .722 3450 .547 28.78 88S 31 . 77 .747 3339 .392 20.63 774 38 73 .78t 35U5 .868 19.36 750 39 72 .697 3115 .445 2. .41 779 33 70 .7^8 3255 .400 21.05 G30 3i) 69 .703 3142 .400 21.05 696 83 67 .081 3044 .418 22.00 G"? 31 65 .724 32»3 .518 27.26 635 21 66 .697 ,3115 .428 22.52 604 27 63 .053 2919 .295 15.52 631 41 60 .044 1878 .431 22.68 617 27 60 .618 2762 .427 22.47 024 28 59 .58!) 2592 .3J7 18.79 6U 34 68 .802 2()9l .374 19.68 613 31 67 .597 2668 .411 21.63 679 •a 56 .551 2<6i .333 17.52 6^'5 :3 54 .535 2391 .371 19.68 564 29 52 .522 2333 .379 19.9* 690 30 52 .548 2449 .362 19.05 562 30 52 .563 2,J16 .383 20.16 649 27 52 .567 2534 .237 J2 47 527 42 61 .530 2369 .364 19.15 450 21 48 .478 2137 .385 20.26 632 26 48 .426 11)04 .298 15.68 610 33 43 .418 ;868 .293 15.42 45,-. 3) 42 .397 1774 .245 12.89 444 34 40 114 FUEL. Note. — It will be remarked that shellbark hickory is made the standard in the al5ove table, not only of the fuel but also of the specific gravity, the value and specific gravity of the other woods being determined by the pro- portion they severally bear to this standard.' The table has a further use, namely, to determine the price that should be paid per cord for other woods, taking the price paid for shellbark hickory as the standard. For instance, should shellbark be selling for $6.00 per cord, white oak is worth $4.86 ; for, as 100, the value of shellbark, : $6.00, its price,":: 81, the value of white oak, : $4.86, its price; and other kinds in the same proportion. A cord of wood is 128 cubic feet ; the sticks or billets are cut 4 feet long and piled 4 feet high and 4 feet wide ; 8 feet in length making a cord. The wood-cutter has a measure of two feet marked on his axe handle with which he measures the length of each stick, making due allowance for the carf, or the bevel of the cut. All fuel should, however, be sold by weight. When the weights of diflerent woods are equal, that which contains the most hydrogen will, during combustion, give out the greatest amount of heat. Hence, pine is pre- ferable to oak, and bituminous to anthracite coal. , "When wood is used as fuel it should be thoroughly dried, as in its green and ordinary state it contains 25 per cent, of water ; the heat to evaporate which is necessarily lost. To kiln-dry it adds 12 per cent, to its value over seasoned wood. FUEL. 115 Cbal Mining in Fennsylvania. Table, sJiowing the weights per cvhic foot of tlie different Tcinds of Coal. Designation. Weight in lbs. Anthracite, 50 to 5.5 Bituminous 46 to 55 Cumberland, _53 Virginia, (Bitum.) "49 Designation. Weight in lbs. Western, (bitum.) 47 English, " 50 Charcoal, (hard wood) 18 J do. (soft or pine wood) .. . 18 Note. — Soft coals are usually purchased at tlie rate of 28 bushels of 5 pecks eaicli, to a ton of 43.56 cubic feet. Anthracite, 20 bushels to the ton To prepare charcoal. Charcoal is prepared by cltearing off the top soil from a circular space of the required dimensions, and piling bil- 116 F0EL. lets of wood in it into a pyramidal heap, with several spiracles or flues formed through the pile. Chips and brushwood are put into those below, and the whole is so constructed as to kindle through in a very short time. It must then be covered "all over with clay or earth beaten close, leaving openings at all the spiracles or flues. The pile is then ignited, and carefully watched and kept from bursting into a flame, by instantly closing the flues should such happen. "Whenever the white watery smoke issuing from the flues is observed to be succeeded by a thin, blue, and transparent smoke, the holes must be immediately stopped ; this being the indication that all the watery vapor is gone, and the burning of the true coaly matter com- mencing. Thus a strong red heat is raised throughout the whole mass, and all the volatile mattei'S ai-e dissipated by it, and nothing now remains but the charcoal. Tlie holes being all stopped in succession'as this change of tlie smoke is observed, the fire goes out for want of air. The pile is now allowed to cool, which requires many days, for char- coal being a very bad conductor of heat, the pile long remains red hot in the centre, and if opened in this state would instantly burn with great fury. Even when it is opened, the heat retained by some of the larger pieces often ignites it, to guard against which water should be provided to instantly extinguish it when observed. PROPERTIES OF CHARCOAL. Although charcoal is so combustible, it is, in some re- FUEL. 117 Bpects, a very unchangeable substance, resisting the action of a great variety of other substances upon it. Hence posts are often charred before being put into the ground. Grain has been found in the excavations at Herculaneum, which was charred at the time of the destruction of that city, eighteen hundred years ago, and yet the shape is perfectly preserved, so that you can distinguish between the different kinds of grain. While charcoal is itself so unchangeable, it preserves other substances from change. Hence meat and vegetables are packed in charcoal for long voyages, and the water is kept in casks which are charred on the inside. Tainted meat can be made sweet by being covered with it. Foul and stagnant water can be deprived of its bad taste by being filtered through it. Charcoal is a great decolorizer. Ale and porter filtered through it are deprived of their color, and sugar-refiners decolorize their brown syrups by means of charcoal, and thus make white sugar. Animal charcoal, or bone-black, is the best for such pur- poses, although only one-tenth of it is really charcoal, the other nine-tenths being the mineral portion of the bone. Charcoal will absorb, of some gases, from eighty to ninety times its own bulk. As every point of its surface is a point of attraction, it is supposed to account for the enor- mous accumulation of gases in the spa^-es of the charcoal. But this accounts for it only in part. There must be some peculiar power in the charcoal to change, in some way, the condition of a gas of which it absorbs ninety times its own bulk. — Hooker. 118 FUEL. Notes. — The best quality of charcoal is made from oak, maple, beech, and chestnut. "Wood will furnish, when properly charred, about 20 per cent, of coal. A bushel of coal from hard wood weighs 30 lbs. A bushel of coal from pine weighs 29 lbs. Table, showing the number of parts of charcoal afforded ly 100 parts of different kinds of wood. Woods. Parts charcoal. Color. Lignum Yitse aflforded 26.8 Grayish. Mahogany " 25.4 Brown. Laburnum " 24.5 Velvet black. Chestnut " 23.2 Glossy black. Oak " 22.6 Black. Black beech " , • 21.4 Fine black. Holly " 19-9 I>"11 l^lack. Sycamore " 19-7 ^ine black. "Vy-alnut " 20.6 Dull black. Beech " 19-9 I^uH l^l^ck. [Maple " 19.9 Dull black. Norway Pine " 19.2 Shining black. Elm " 19.2 Fine black. Sallow " 18-4 Velvet black. ^gti « 17.9 Shining black. Birch " I'i^-* Velvet^black. Scottish Pine " 16.4 Brownish. COKfe Sixty bushels oi Newcastle lump coal, will mai^e 92 bushels of coke. Sixty bushels of Newcastle slack, or fine coal, will make 85 bushels of coke. FCTEL. 119 Sixty bushels Pictou or Virginia Coal, will made 75 bushels coke of an inferior quality compared with the above. A bushel of the best coke weighs 32 lbs. Tlie production of coke by weight is about |- that of coal. Coal furnishes 60 to YO per cent, of coke by weight. 1 lb. of coke will evaporate in a common locomotive boiler 7-^ lbs. of water at 212° into steam. Table, showing the weights, evaporatiAie powers per weight, hulk and chm'acter of Fuel. SESICNAXION. Biluminous. Camberland max., . , . . . " min , •. Biossbiirgh, Midlothian screened, . . . " average Newcastle, I'ictou Pittsburgh, Sydney, Liverpool Clover Hi'l Cannelton, la., Scotch, Anthracite. Peach M juntaln Forest Improv ment,... Beaver U eadows, No. 5, . Lackawanna Beaver Meadows, No. 3, . Lehigh , Coke. Natural Virginia, Midlothian, Cumberland Wood. Dry Pine ■wood, i.3;3 1.3G7 l,3.'4 1.2S3 1.294 1.257 1.318 1.252 1.338 1.2C2 1.285 1.273 1.519 1.4fi4 1.477 I .554 1.421 i.cn 1.590 1.323 62.92 84.29 -53.05 45.72 54.04 50.82 49.25 46.81 47.44 47.88 45.49 47. C5 61.09 53.79 53. GC 56.19 48.89 54.93 55.32 45. C4 32.70 31.57 20.01 10.7 9.44 9.72 8.94 8.29 8.66 8.41 8.20 7.09 7.84 7.C7 7.34 6.95 '0.11 0.C6 9.88 9.79 9.21 8.93 8.47 8. 63 8.90 4. 69 So- a ^S1 573.3 532.3 522.6 438.4 461.6 453.9 478.7 384. 1 386.1 411.2 339.3 360. 369.1 531.3 677.3 672.9 493. 526.5 615.4 407.9 282.6 284. 98.6 OS 2.13 4.53 3.40 3.33 8.82 3.14 6.13 .94 2.25 1.86 3.86 1.64 5.63 3.03 .81 .69 1.24 1.01 1.08 5.31 10.51 3.55 b.3 42.3 41.2 42.2 49. 41.4 44 45. 47.8 47.2 46.7 49.2 47. 48.8 41.6 41.7 39.8 45.8 40.7 40.5 48.3 68.5 70.9 106.6 Prof. W R. Johnson. 120 FUEL. N. B. — The above are the extreme effects ; for practical use let a deduction of ^ be made from the above. Comkustible matter of fuel. The quantity of combustible matter of fuel, if the weight and other circumstances be equal, may be learnt from the ashes, or residuum, left after the combustion. For example, good Newcastle coal contains a greater portion of combus- tible matter than Nova Scotia coal, and leaves behind a smaller amount of earthy and incombustible substance. The heating power, and consequent value, of different, kinds of fuel, is affected by this circumstance, though by no means dependent on it. The fitness of fuel for various purposes is furthermore affected by the facility with which it gives off a part of its combustible matter in the form of vapor or gas, which, being burnt in that state, produces flame. For example, the bituminous coals abound in volatile matter, which, when ignited, supports a powerful blaze. On the other hand, the Lehigh and Rhode Island coals are destitute of bitumen, and yield but little flame. It is from similar causes that dry pine wood produces a powerful blaze, while its charcoal yields comparatively little. A blaze is of great service, where heat is required to be applied to an extensive surface, as in reverberating furnaces, ovens, glass-houses, &c. But when an equable, condensed, or lasting fire is wanted, the more solid fuels, which bl?ize less, are to be preferred,. FUEL. 121 Table, showing the heating power of different combustibles. Lbs. of water heated 1" Designation, by 1 lb. of substance. Alcohol 11,000 Oiive OU. 14,500 Beeswax '. 14,000 Tallow 15,000 Oak, seasoned. 4,600 " kiln-dried 5,960 Pine, seaspned 6,466 Tibs, of water heated 1** Designation. by 1 lb. of substance. Coal, Newcastle 9,230 " "Welsh 11,840 " Anthracite 9, 560 " Cannel 9,000 Coke 9,110 Peat 3,250 Table, showing the effects of heat wpon certavn bodies. Designation. Pahrenheit. Gold melts 1983° surer " 1850' Copper '' 2160' Brass " 190(i° Iron, red hot in daylight lOTt" twUight 884° Common fire 190° Zinc melts 740° Qiiicksilver boils 630° Linseed Oil " 600° Lead melts 694° Bismuth melts 476° Tin and Bismuth, equal parts, melts 283° Designation. Fahrenheit. Tin melts 421° Water boUs 212° Alcohol " 175° Ether 93° Heat of human blood 98° "Water freezes 32° Strong wine freezes 20° Brandy " 7° Mercury " —39° Greatest cold ever produced*. . — 220° Snow and salt, equal parts 0° Acetous fermentation begins. . . 78° " " ends 88° Phosphorus burns 68° Table, showing the relative value of the following fuels by weight. Designation. Value. Seasoned oak 125 Oak, kiln-dried 140 Hickory 137 "White pine 137 "Tellow pine 145 Good Coke 285 Designation. Value. Charcoal. 2S5 Peat 115 "Welsh coal 312 Newcastle " 309 Authracito " 250 * The lowest temperature hitherto attained, — 220°, is produced by evaporat- ing in vacuo a mixture of solid (condensed) protoxide of nitrogen, carbonic acid, and bisulphide of carbon. 6 122 FUEL. Table, shmoing the number of gallons of water which may he lifted to various heights ly. the consumption of 112 lbs. of coal, the pumping apparatus hemg good, and adapted to the power of the steam engine. Height. Gallons. 1 loot 1,600,000 ■2 " 800,000 3 " ..., 533,«33 4 " 400,0110 6 " 320,(100 6 " 266,6ti6 7 " 228,571 8 " 200,000 Height (Jallons. 9 feet 177,777 10 " 160,000 11 " 145,454 12 " 133,333 13 •• 123,076 5 14 " 114,444 15 " 106,666 16 " 100,000 Notes. — The evaporative power of 1 lb. of hituminous coal applied to a steam boiler, is from 6 to 9 lbs. fresh water in the boiler, under a pressure of 30 lbs. to the square inch,, evaporated into steam. Cumberland coal being the strong- est, and Scotch coal the weakest. The evaporative power of anthracite coal, aided by a blast, is from TJ to 9J lbs. of fresh water evaporated into steam for 1 lb. of coal. In practical evaporating power 2^ to 2f lbs. of wood is equivalent to 1 lb. of bituminous or anthracite coal. One cord of the ordinary seasoned fire-wood is equal in evaporating power to 12 bushels (960 lbs.) of Pittsburgh coal. One ton of Cnmberland coal is equal in evaporating power to 1^ tons of anthracite coal, and equal to 2.12 cords of dry pine wood. One ton of anthracite coal is equal to If cords of dry pine wood. Each cubic foot of water evaporated in a boiler at the FUEL. 123 pressure of the atmosphere, will heat 2,000 cubic feet of in- closed air to an average temperature of 75°. Each square foot of surface steam-pipe will warm 200 cubic feet of space. One pound of anthracite coal in a cupola furnace will melt 5 to 10 lbs. of cast iron. ^ 80 bushels of bituminous coal in an air furnace will melt 10 tons of east iron. Small or fine coal produces about f the efiect of large coal of the same kind. Table, showing the price of parts of a cord of wood, at cer- tain rates per cord. FEK1 .b1.:o $1.75 $2.00 S:;.25 S2.50 $2.75 $3.0J $3.25 1 01 01 01 02 02 02 C2 02 2 02 02 03 03 04 04 05 05 3 03 04 04 05 06 06 07 07 4 05 06 06 C7 03 09 09 10 5 n 06 07 08 09 10 U 13 13 6 fi7 03 09 11 12 13 14 15 7 08 10 11 12 14 15 16 17 8 19 11 12 14 16 18 19 20 16 19 22 25 n 31 ?5 37 40 24 28 33 37 42 4T 62 56. 61 32 38 44 50 56 G3 69 75 81 40 47 55 63 70 78 86 94 1 03 4« 56 C6 75 84 94 1 03 1 12 1 22 66 Gl 77 88 98 1 09 1 20 1 31 1 42 C4 75 83 1 00 1 13 1 25 1 38 1 50 1 62 72 U 84 98 1 13 1 27 1 41 1 55 1 69 1 83 80 94 1 09 1 25 1 41 1 56 1 72 1 f8 2 03 81 98 1 15 1 31 1 48 1 64 1 81 1 97 2 13 88 1 03 1 20 1 38 1 55 172 1 89 2 06 2 23 92 1 03 1 26 1 44 . 1 02 1 80 1 98 2 15 2 33 96 1 13 1 31 1 50 • 1 f9 1 88 2 06 2 25 2 41 104 1 22 1 42 1 63 1 83 2 03 2 23 2 44 2 64 112 I 31 1 53 1 75 1 97 2 19 2 41 2 63 2 84 120 1 41 1 61 1 88 2 11 2 34 2 58 2 81 3 0.5 128 1 50 1 75 2 00 2 25 2 50 2 75 3 00 3 25 124 " FUEL. ' Explanation. — Find the number of feet in the left-hand column of the table ; then the price at the top of the page, and trace the line and column until they meet, and you will find the amount in dollars and cents. Example. — If a load of wood contains 98 feet, at two dol- lars and a half per cord — first find the amount of 96 feet, which is $1.88 ; and then add the value of 2 feet (4 cents), making $1.92. So of all similar examples. Should the price per cord exceed the amount in the pre- ceding table, the price of the parts may be found by adding or doubling, as per example, for $3.50 double $1.75 ; for $3.75 add $2.00 and $1.75 ; for $4.00 double $2.00 ; for $5.00 double $2.50, &c. i FENCES. , In the newer portions of the country, where land is cheap and timber abundant, the old-fashioned zig-zag, or " Vir- ginia worm/ence,'" still prevails. It does not cost one-thii-d the amount required for good post or board fence. Some are constructed altogether of rails, without any bracing or support at the corners, and are, of course, easily thrown down by cattle and the wind. They are, hqwever, usually braced in one of the following modes : 1. By stakes and riders— either single or double riders. 126 FENCES. 2. By upright stakes, opposite eaeli other, and placed in the oUuse corners, driven into the ground, and tied at the top by a wire or withe. 3. By upright stakes placed in the acute corners, driven into the ground, and tied at the top as above described. 4. By wedging one end of a rail into the acute corner, and letting the other end rest on the ground. 5. By placing the riders, or long poles, in a straight line on the top and at the centre of the fence, and then placing upright stakes in each inner corner, between the rider and the fence, the lower end resting on the ground and the other wedged tightly between the top and the rider. The rails for this species of fence are cut diiferent lengths in different sections of the country, and, indeed, in the same section. Much depends upon the nature of the timber, and much also on the kind of ground on which the fence is to be laid. Some are cut 12 feet, some 14, and some even 16^ feet or 1 rod in length. The usual lengths, however, are 12 and 14 feet. The rails are laid at different angles ; some deflecting 6 feet, some 7, and some 8 feet from a right line. The more they deflect, or in other words, the crookeder they are laid, the firmer the fence will be ; but more rails will be required and more space occupied. The deflection for a 12 foot rail is usually 6 feet ; for a 14 foot rail, 7 feet ; and for a rod rail, 8 feet. A foot is generally allowed at each end for the lap. FENCES. 127 Some fences are built 5 rails high, some 6, and some 7 — the rider making an additional rail high. The height, as well as the spaces between the rails, are mostly regulated by statute in the different States. The majority of these stat- utes require the fence to be not less than 5 feet high, with interspaces between the rails of not more than 4 inches, to a height of 4 feet. The number of rails, stakes, and riders required to build a certain amount of fence has hitherto been pretty much guess- work ; and often the farmer, before he can finish his fence, has to quit it, and go and split more rails, or gear up and haul a few more loads. It is hoped that the following tables will obviate that necessity, by enabling him to tell within a few rails how many will be required to build a given amount of fence. Table, showing the number of rails, stakes, and riders re- quired for each 10 rods of fence. or raU. DeOec tlon from light line Feet. Length of panel Feet ^■" umber t tjf puQeiS Number of rails for each 10 rodi. Number of BtakeB. Number of l-iderl, Feet. Keet ,f.r«il»hiBh. (>rHlm liiKn. 7 rails hljiu. Vi U 161 6 7 8 8 lU 12 2ll| l4 i:ij i..a S3 (19 1^3 99 B4 14i 116 95 a 31 28 a 17 Note. — Should the number of rods exceed 10, the requisite number of rails, stakes, and riders can be found by multiply- ing. For instance, should the length of fence be 100 rods, multiply the above number by 10; should it be 75 rods, multiply the above number by 7^ ; for 77 rods, multiply by ^r^, and so forth. 128 FENCES. Post and rail fence. Post and rail is a more costly fence, but much better, and in the end more economical. There is not such a waste of either timber or land. The rails are also cut of different lengths ; some 10, some 12, some 14, and some 16|- feet, or 1 rod. Formerly, about 6 inches at each end were allowed for the lap, but more re- cently a foot has been allowed, as the longer the lap the stronger and firmer the fence. They are from 5 to 8 rails high ; posts set in the ground from 2 to 3 feet. Table, showing the number of rails and posts required for each 10 rods of post a/nd rail ferine. Lengih of rail— leet. Lencth rf pouel— feet Number of pauels. Number of posts. a\ liaijjcr Gf ralla forjiach 1 j rods. j rails high 6 rails high. 7 rails high H rails high. 10 8 20| 21 1(3 123 144 1C5 12 10 16i 17 83 90 116 133 It 12 13 11 U C9 84 95 109 IdJ ^■n 13 n GD fl 83 I^OTE. — Should the length exceed 10 rods, the additional number of posts and rails may be found by multiplying, as directed in the note to the preceding table. Post and hoard fence. Where timber is plenty and saw-mills abound, or where lumber is cheap, post and board fence is economical. The boards are usually sawed 16 feet long, and the posts set 8 feet apart, 3 feet in the ground. The fence is usually 5 boards high; the bottom, or first. board 10 inches wide ; the second 8, the third 6, Etnd the FENCES. 129 fourth and fifth 6 inches wide. They may be wider or nar- rower, as cost, taste, or use may dictate. The first, third, and fiftli boards are joined on one post, and the second and fourth joined on the next post. To find the numher of feet of hoards required for each rod of post and hoard fence. KuLE. — Add the different widths of the boards, in inches, together, and divide the sum by 12 for the width in feel ; then multiply the width by 16^, and the product will be the number of feet, board measure, required for each rod of fence. Example. — Required, the number of feet, board measure, for each rod of fence, 5 boards high, the various widths of '' the boards being 10, 8, Y, 6 and 5 inches ? Solution. — 10+ 8 + 7 + 6 + 5 = 36-=-12=:3 ft. X 16^=49^ feet. Ans. To fund the numher of posts required for a given length of post and hoard fence. KuLE. — Reduce the number of rods to feet by multiplying by 16|^, and divide the product by the number of feet the posts are set apart ; the quotient will be the number of posts required. Example. — Required, the number of po?ts for a post and board fence 160 rods long; posts set 8 feet apart? Solution.— 160 x 16^=2640-8=330. Ans. 6* HEDGE PLANTS. The following, for the cultivation of hedges, is the con- densed experience of the most successful and practical hedge- grovters in the United States, and especially in the West. Directions for Settinff.— During the summer or fall thoroughly manure, plough as deep as possible a strip from five to eight feet M-ide, leave a dead furrow in the line where the hedge is to be set. In the following spring back furrow to the hedge-line, then harrow down smooth. Stake the ground, and by means of a line make a plain mark, then with a spade placed at right angles across the mark, push the blade- in the soil to its full length at an angle of about forty-five degrees. Let an assistant place the plants under the back of the spade on the line of the mark, about one inch below the depth they stood in the nursery, and about eight inches apart. Pack the ground firmly around the plants, and mulch the ground to keep moist. Cultivate until the first of August. Before frost in the fall, back furrow and cover with coarse njianure or straw, and in the spring uncover and cultivate as before. Eeplace all missing or feeble plants with strong ones. Trimming. — The hedge should not be trimmed until three years old, when one-half or two-thirds should be cut nEDGE PLANTS. 131 nearly off close to the ground and laid down at an angle of tliirtj' degrees from the ground. Trhn once a year in July, and do not allow the hedge to exceed twenty inches broad. The fourth year in the spring, before the buds start, take oft" about one-half the last year's growth. Leave the lower branches a little longer than the top, and aim to give the hedge some regular uniform shape. The hedge should be allowed to gain from eight to twelve inches annually, iintil it has readied the desired height. To Preserve Plants during tJie Winter. — Cut a trench in a dry ])iece of ground at an angle of forty-five degrees, place tlie bundles in the trench, and cover with dirt from a new trench from six to eight inches in front, and so continue until all are trenched. Cover the plants two inches deep, firmly packing the ground around them. After the ground is frozen two inches deep, cover the whole with straw froin twelve to eighteen inches; after which cover the whole bed with dirt about a foot thick. Encircle with a ditch so that no water can reach the plants. Plants can also be kept in a cellar, well covered in sand, but be careful not to expose to the Sim or dry wind, in setting in the spring. Setting Evergreens. — Cultivate and set as before, but the ground should not be manured vidthin six months of settino' tlifc plants. Chip-dirt or rotten leaves are preferable for a mulcli. Hedge Plants. — Osage Orange. — The Osage Orange stands at the head of the list of hedge plants. It is much 132 HEDGE PLAUTS. planted where fencing timber is scarce, in the latitude of the Middle and Southern States. It is hardy and grows vigorously, and its thorns are absolute proof against the de- predations of domestic animals, and even boys retreat from contact with them. It makes a beautiful hedge when prop- erly pruned, but when neglected it gets beyond all control. In the Northern and Eastern States, it is liable to be killed by the frost. Honey Locust. — This thorny, vigorous, and hardy plant has no superior as a farm hedge. It requires two annual prunings, in Jun^ and September, to keep it within control. It flourishes as far north as Canada, and for the Middle and Southern States it yields only to the Osage Orange. It is easily propagated by setting the plants about six inches apart. Some prefer sowing the seed on the line of the proposed hedge. BucJcthom. — This plant is a najtive of America, and would be one of the best hedge plants did it not lack a sup- ply of thorns. Privit. — This thornless shrub is easily propagated from cuttings, and thickens well when set in a hedge. Its foliage is rich, and in the spring it is decorated with an abundance of beautiful small white flowers. It cannot be successfully cultivated north of the latitude of Philadelphia. ' Hawthorn. — The hawthorn, so common in England, does not thrive so well in our climate. HEDGE PLANTS. 136 Evergreen Hedges. — Norway Spruce. — A hedge of this beautiful tree should be set about four or five inches apart, and the plants not over four feet high. The side branches should be pruned, and the leaders cut out. Afterwards it should be trimmed the same ,as other hedges. The soil should be kept rich to insure a vigorous growth. Arbor Vitoe. — In consequence of the cheapness of the common Arbor Yit£E, for an ornamental hedge, it has super- seded all others. Though inferior to the Siberian species, yet it will be a long time before it will yield its place to it. Being hardy and sure to flourish under ordinary treatment, it is a valuable he(5ge plant. ^ Hemlock. — The hemlock, when properly pruned, makes a thick and beautiful hedge. With a foliage ever of the richest green, and adapted to all the northern latitudes, as a hedge plant it has no superior if an equal. Although hardy, it is somewhat difficult to transplant. Select a rainy day when the groimd is wet, being careful not to expose the roots to the light or air. As soon as planted mulch with coarse manure or chip-dirt. " WIRE FENCES. Wire fences have this advantage over hedges and other . fepces : they take up but little space, with no exhaustion of the soil, 'are Hot blown about by the wind; are durable^ economical, and make a good protection against cattle, sheep, and other animals. For enclosing lawns and gar- den?, many of the designs oflFered in market are very desir- able and ornamental. For a farm fence, such as any farmer can put up, annealed wire of the size No. 6 or 8* is pre- ferable ; for the pi'otection of cattle five wires are sufficient ; for sheep and lambs, seven should be used. In building the fence a post six inches square or larger should be set at each end, and securely braced, from which to stretch the wire; the intervening posts should be set from eight to ten feet apart. Through these holes should be bored with a J-inch brace-bit, and at appropriate dis- tances apart, according to the protection required. Instead of putting the wires through the posts, they are often' fas- tened by means of staples made of the same material. In putting up the wires they should be stretched aS tightly as possible, care being taken in splicing that they be well secured, which can be best done by means of narrow black- smith's tongs. Suitable wire can be bought for 8 or 10 cents per pound, making a fence of six wires .cost about 40 cents per rod; this does not include posts and labor of setting. * The size of wire is graded from No. 1, and upwards. No. 9 is the com- mon telegraphiwire. . HUMAN STEENGTH. The force of a single man, unaided by machinery, and M^orking to the, best advantage, is equivalent .to the raising of YO lbs. 1 foot per second for ten hours in a day. The maximum power of a strong man, exerted for 2^ min- utes, is equivalent to 18,000 lbs. raised one foot in a minute. A man of ordinary strength exerts a force of 30 lbs. for 10 hours in a day with a velocity of 2^ feet in a second, which is about equal to 4500 lbs. raised 1 foot in a minute. The average weight of men is 150 lbs. each. A man travels, without a load, on level ground, for 8^ hours a day, at the rate of 3^ miles an hour, or 31^ miles per day. He can carry 111 lbs. 11 miles in a day. A porter going short distances, and returning unloaded, carries 135 lbs. 7 miles in a day. He can carry, in a wheel- barrow, 150 lbs. 10 miles a day. An average strong man will, for a short period, exert a force with a — lbs. Drawing knife equal to 100 An auger, both hands. .. " 100 A screw-drivel', 1 hand. . " 84 A bench-vice handle " 72 lbs. Pincers, compression equal to 60 A hand-plane " 50 A hand-saw " 36 A thumb- vice " 45 A chisel, vertical pressure " 12 j A brace-bit, revolving " 16 A windlass " 60' HOESE POWEE. Before the invention and improvement of the steam-en- gine, the force of horses was very extensively used as a motive power ; and although its application to machinery is now mncli less frequent, it is still resorted to, especially in places where fuel is expensive. For ordinary farm labor, it will probably never be superseded. The following are some of the more important facts relating to the horse and horse- power : — The ordinary work of a horse is taken at 22,500 lbs. raised 1 foot in a minute, for 8 hours a day. The strength of a horse is equivalent to that of 5 men. A draught-horse can draw 1600 lbs. 23 miles a day on a level road, weight of carriage included. In a horse-mill, he moves at the rate of 3 feet per second on a track 25 feet diameter, and with the machine exerts the power of 4^ horses. He occupies inf.a stall a front of 4^ feet and a depth of 10 feet. The average weight of horses is 1000 lbs. each. , A horse travels 400 yards, a^ a walk, in 4^ minutes; 400 yards, at a trot, in 2 minutes; and 400 yards, at a galhp, in 1 minute. A horse will carry 250 lbs. 25 miles a day of 8 hours. HOESE POWEE. 139 A horse will live 25 days without solid food, merely drink- ing water. He will live 17 days without either eating or drinking. He will live only 5 days when eating solid food, M'ithout drinking. He attains his full growth in 5 years, and will live 25. His average life is 16 years. Horse-power as applied to the measurement of steam-en- gines and waterfalls was first applied hy James Watt, the inventor of the steam-engine. From a series of experiments he ascertained that the average strength of a horse was suf- ficient to raise 33,000 lbs. one foot per minute,* and this unit has been adopted in this country and in England as a general measure of power. , A waterfall is thus said to have a horse-power for every 33,000 lbs. of water passing a given point per minute for each foot of the fall. To compute the power of a water- fall is given the following Rule. — Divide the continued product of the width, the depth, the velocity of the water per minute, the height of the fall, and the weight of a cubic foot of water (62| lbs.) by 33,000. Example. — The flume of a mill is 10 feet wide, the water is 3 feet deep, the velocity is 100 feet per minute, and the fall 11 feet. "What is the horse-power of the fall ? Operation.— (10 x 3 x 100 x 11 x 62^) -=- 33,000 = 62^ horse-power. • This is done hj means of compound pulleys. 140 HOKSE I'OVVEK. The power of a steam-engine is estimated by the following EuLE. — Divide the continued product of the area of the piston in inches, the mean pressure per square inch in pounds, the length of the stroke in feet, and the number of strokes per minute by 33^000. Example. — The area of the piston of a steam-engine is 40 inches, the pressure is 60 lbs. per square inch, the length of the stroke is 3 feet, and it makes 30 strokes per minute. What is the horse-power ? Opeeation.— (40 X 60 X 3 X 30)-^33,000=:6J horse-power (nearly). Water-wheels lose from 10 to 50 percent, of the power, and the actual power of the steam-engine is less than that indi- cated by the horse-power, owing to a loss by friction, the amount of which depends upon the arrangement of the en- gine and the perfection of the workmanship. Table, showing the labor one horse is able to perform at different rates of speed on canals^ railroads, and turnpikes. Drawing force, 83^ lbs. Useful ett'ect for 1 (lay in tons, drawn 1 mile. Bpoeil per hoar. Miles. Duration of day's work— hiiursi On canal— tons On a nillroaiJ-tonB. On a turnpllce-tons. f \\\ 520 115 14 8 243 92 12 f 6 154 82 10 *\ 102 72 9 6 2-\ 52 57 7.3 6 2 89 48 6 7 if 19 41 5 8 12.8 36 4.5 9 \ 9. • 32 4. ]n * f..5 28.8 3.G HOESE POWER. 141 >' b f . 1^^.' , Table, showing how much one team (md pUmgh'will ;per- form in a day, in acres and tenths. Width of width or width of WlJih of AereH and fur ovv in Acres and furrow IQ Acres nnd furrow in Acres Aud iuchea. tenths. iDches. tenths. feet teuths. fael. leuth*,. 5 , 1.0 12 2.4 2 4 8 flt ' 13.2 6 1.2 14 2.8 n 6.0 6 14.4 Y 1.4 16 3.2 3>*»' 7.2 Gi 13.6 8 i.e 18 3-1 3i g 4 7 16.8 9 1.8 21 4rr' 4 9.6 n 18.0 10 . 2.0 22 4.4 4i in. 8 8 19.2 11 2.2 6 1?. Note.— The above table is constructed on the. presump- tion that the team moves at the rate of about 3 feet per second, or 2 miles per hour, for 10 hours per day. Horses and mules in good condition will do tins FREIGPITS— QUANTITY OF GOODS WHICH COMPOSE A TON IN SHIPPING. Wharf Scene in New York. i^Vom By-laws of the Nevj York Chamber of Commerce. Resolved, That wlien vessels are fi-eighted by the ton, and no special agreement is made between the, owner of the vessel and freighter of the goods, respecting the proportion of tonnage which each particular article shall he computed at, the following regulation shall be the standard of compu- tation : — FEEIGHTS. ^ 143 That the articles, the bulk of which shall compose a ton, to equal a ton of heavy materials, shall be in weight as fol- lows : 1568 lbs. of coffee in casks, 1830 lbs. in bags ; 1120 lbs. of cocoa in casks, 1307 lbs. in bags. 952 lbs. pimento in casks, 1110 in bags. Eight barrels of flour, 196 lbs. each. Six barrels of beef, pork, tallow, pickled fish, pitch, tar, and turpentine. Twenty hundred pounds of pig and bar iron, potashes, sugar, logwood, fustic, Nicaragua wood, and all heavy dye- woods, rice, honey, copper ore, and all other heavy goods. Sixteen hundred pounds of coffee, cocoa, arid dried cod- fish, in bulk, and twelve hundred pounds of dried codfish in casks of any size. Six hundred pounds of ship bread in casks, seven hundred in bags, and eight hundred in bulk. Two hundred gallons (wine-measure), reckoning the full contents of the casks, oil, wine, brandy, or any kind of liquors. Twenty-two bushels of grain, peas, or beans, in casks. Thirty-six bushels of grain in bulk. Thirty-six bushels of European salt. Thirty-one bushels of salt from the "West Indies. Twenty-nine bushels of sea-coal. Forty feet (cu!)ic measure) of mahogany, square timber, f 144 FEEIGHTS. oak plank, pine, and other boards, beavers, furs, peltry, bees wax, cotton, wool, and bale goods of all kinds. One hogshead of tobacco, and ten hundred pounds of dry hides. Eight hundred pounds of China raw silk, ten hundred pounds of net bohea, and 800 green tea. UNITED STATES OR FEDERAL MONET. stamping Coin at the United States Mint. Money is value, or the representative of value, used for the purposes of exchange. In different countries, at dif- ferent times, various articles have been used for money, such as oxen, pieces of leather stamped, shells, wampum, iron, nails, &c. Gold and silver, at present, are used almost exclusively for money.. They are called precious metals. Paper money is a substitute for coin. Uncoined gold and silver is called huUion. Coin is a piece of metal of known weight used for money, the value of which is stamped on it. 146 UNITED STATES OK FEDERAL MONET. Currency is the money of circulation. Tokens are coins whose intrinsic value is below that assigned them by law. Such coins are said to be coins in iillion. United States or Federal money is a decimal cmTency. Table. 10 mills (m.) 1 cent ct. 10 cents « 1 dime d. 100 mills. 10 dimes 1 dollar $ 1000 " 100 cents. 10 dollars 1 eagle E. 10000 " 1000 cents 100 dimes. Coins.— The gold coins are the double-eagle, eagle, half- eagle, qwtrter-eagle, three-dollar piece, and dolla/r. Notes. — ^1. The fifty-dollar piece is not a legal coin. The UNITED STATES OE FEDEEAL MONEY. 147 copper half-cent is no longer coined. The mill is not a coin. 2. Qold coins contain 9 parts of gold and 1 part of an alloy of silver and copper. 3. The silver coins are the dollar, half-dollar, quarter- dollar', dime, half -dime, and three-cent piece. 4. Silver coins contain 9 parts silver and 1 part cop- per, except the three-cent piece, which is 3 parts silver and 1 part copper. 5. The nickel coins are the cent, the new three-cent, and new fioe-cent pieces. 148 iCTNITED STATES OE FEDERAL MONEY. 6. The nickel cent contains 88 parts copper and 12 parts nickel. 7. The copper coins are tke cent and two-cent pieces. 8. The two-cent and cent pieces are made of nickel and copper. I TJie terra foliar is supposed to be derived from the German " thaler," pronounced ta-ler. The term dime means ten, cent a hundred, and mill a thousand. The origin of the dollar-mark is uncertain'; some think it the combination of U. S., others that it is an imitation of the dollars and scroll on the " pillar-dollar." 1 eagle (gold) weighs 258 troy grains. 1 dollar (silver) " 412.5 " 1 6ent (copper) " 168 " 23.2 grains of pure gold=$1.00. Gold coin of the United States, prior to 1834, like that of England,=88.8 cents per dwt. By act of Congress of 1834, its value was made 94.8 cents per dwt. The old United States Eagle, coined previous to 1834, is worth $10,66-8. ENGLISH MONET. English or Sterling Money is the currency of Great Britain. Table. 4 farthings (far. or qr.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound or sovereign, £, sov. 21 shilhngs " 1 guinea, marked guin. - Coins. — The gold coins are the sovereign (£1), and the Mlf-sovereign (10s.). The silver coins are the crown (58.), the half-crown (2s. 6d.), the /o7m (2s.), the shilling (12d.), sixpermy^pieGe (6d.), and th^eepemiy-piece (3d.). 150 ENGLISH MONET. The bronze coins are thepemny, half -penny, an^ farthing. Farthings are generally written as fractions of a penny, thus: 1 far.=^d. ; 2 far.=f or i; 3 far.=|. Canadian currency is decimal, and the denominations are the same as Federal money. The franc is the unit of the French decimal currency, ENGLISH MONET. 151 and is worth $0,186. The denominations are frames and centHmes. Notes. — 1. The symbol £ stands for the Latin word libra, a pound ; s. for solidus, a shilling ; d, for denarius, a penny ; qr. for quadrans, a quarter. ' 2. The term sterling is supposed to be derived from Easterling, a name formerly given to the early German traders. 3. The term farthing is derived from " four things," de- noting the divisions on the old English penny. AVOIEDUPOIS WEIGHT. _■ ^ v^ '"^r:. _1':>^ I . ■^ -r — '^u ' Avoirdupois weight is used for all ordinary purposes. 16 drams (dr.) 16 oz. 25 1b. 4 qr. 20 cwt. 100 lb. Table. 1 ounce, 1 pound, 1 quarter, 1 hundredweight, 1 ton, 1 cental. marked oz. " lb. " qr. " cwt. " c. AVQIEDUPOIS WEIGHT. 153 T. cwfc qr. lb. lb. oz. dr. gr.* 1=20=80=2000 1=16=256=7000 1= 4= 100 1= 16=437^ 1= 25 l=27ji Notes. — 1. The gross ton of 2240 lbs. was formerly in common use, b^^t is now seldom used except at the United States Custom House and at the Pennsylvania coal mines. 2. Butter is usually packed for market in pails or firkins, which hold from 50 to 100 pounds. 3. The term amoird/wpois is derived from the French " avoir du poids," meaning goods of weight. Omt. is formed ■from c, centum, wt., weight. 4. Most of the States have adopted the following Table of Miscellaiteotjs Weights. 196 lbs. make 1 barrel of flour. 200 a 280 a 32 i( 48 11 66 (C 60 u 60 a 14 (C 46 IC 60 u 56 ic 44 i( a a beef, pork, or i a a salt at N. Y. i ii 1 bushel of oats. . a barley. <( corn or rye. a wheat. a beans. u blue-grass-seed le castor-beans. i( clover-seed. 11 flax-seed. i( hemp-seed. * Note. — The exact weight of an avoirdupois dram is 27 Ji troy grains. 7* 154 ATOIEDUPOIS WEIGHT. 60 lbs. make 1 bushel of peas. 60 " potatoes. 45 " timothy-seed. 57 " onions. 28 " apples or peaches (dried). 50 " salt. A sack of wool is 22 stone, that is, 14 lbs. to the stone, 308 lbs. A pack of wool is 17 stone 2 lbs. =240 lbs. — a pack load for a horse. A truss of hay is, new, 60 lbs. ; old, 50 lbs. ; straw, 40 lbs. A load of hay is 36 trusses. A hale of hay is 300 lbs. A firkin of Imtter was formerly 56 lbs. A hale of cottofi is 400 lbs., but it is put up in different States varying from 280 to 720 lbs. Sea Island cotton is put up in sacks of 300 lbs. AV0IBDUP0I8 WEIGHT. 155 AvoiBDUPOis Weight Illubteated. 1 firkin. I barrel. 1 barrel. 1 barrel. IbusheL 1 bushel. IbusheL 1 bushel. TEOY WEIGHT. — T - i 1 1 J-. V «f r :. Y Troy weight is used in weighing gold, silver, and jewels, and in philosophical experiifients. Table. 24 grains (gr.) make 1 pennyweight, marked pwt. 20 pwt. " 1 ounce, 12 oz. " 1 pound, " 3^ grains " 1 carat (diamond wt.) " Scale of Comparison. lb; OZ. dwt. gr. 1 = 12 = 240 = 6760 1 = 20 = 480 1 = 24 Ik. = 3^ oz. lb. k. TEOY WEIGHT. ' 157 24 grs. 480 grs. 5760 grs. Notes. — 1. A carat is a weight of about 3.2 grains, and is used by jewellers to weigh diamonds. The term ca/rat is also used to denote the fineness of gold. "When gold contains 18 parts pure gold and 6 parts alloy, which is usu- ally silver and copper, it is said to be 18 carats fine. Gold 14 carats fine contains 14 parts pure gold and 10 parts alloy, &c. 2. The term Trm/ is derived from Troyes, where the weight was first introduced into Europe, about the 12th century. ' 3. The term pemvyweight is derived from the weight of the old silver penny. The term gram is derived from the custom of using the grains of wheat, 24 of which were taken to determine the weight of a pennyweight. 4. The symbol os. is derived from the Spanish word onza, an ounce ; lb. is from the Latin libra, a pound. 5. The standard unit of weight is the troy pound. It equals the weight of 22.79 -f-cu. in. of distilled water at the temperature of 39° 83' F., the barometer being at 30 in. APOTHECARIES' WEIGHT. \* r Apothecaries' weight is used in preparing prescriptions, but drugs and medicines are bought and sold by avoirdupois weight. Table. 20 grains (gr.) 1 scruple, 3 scruples 1 drachm, 8 drachms 1 ounce, 12 ounces 1 pound, marked sc. or 3. " dr. or 3 . " oz. or I . " lb. or ft. apothbcaeies' fluid measuee. 159 Scale of Compabison. a I 3 3 gr. 1=12=96=288=5760 1= 8= 24= 480 1= 3= ^0 1= 20 ^i^i.sc I'ki w__ APOTHECARIES' FLUID MEASURE. Apothecaries' fluid measure is used for measuring liquids in preparing medical prescriptions. Table. 60 minims (ni) 1 fluid drachm, marked f 3 . 8 fluid drachms 1 fluid ounce, " f | . 16 fluid ounces 1 pint, " O. 8 pints 1 gallon (wine meas.) " Cong. Note. — 1. The pound, ounce, and grain are the same as in troy weight, the ounce being differently subdivided. 2. The symbols are supposed to be derived from the in- scriptions upon the ancient monuments of Egypt. 3. One minim equals one drop. LIQUII? OK WmE MEASURE. li 1 ^Hf'« I f .- I • ' 1 t .1* ^=^ »-* ife^ -=- 1 ; 1 Liquid measure is , of course, used in measuring liquids. Table. 4 giUs (gi.) 1 pint, marked pt. 2 pints 1 quart, li ,qt. 4 quarts 1 gallon, u gal. i 1 31^ gallons 1 barrel, a bbl. ' 1 2 barrels or 63 gallone 1 hogshead, " hhd. l' liquid ok wine measfee. Scale of Compaeisok. Wme Measwre. Dry Measure. gal. qt, pt. gi. ciu in. 1=4=8=32=231 1=2= 8=57f 1= 4=28f 161 bu. pk. qt. pt. 1=4=32=64=21501 nearly. 1= 8=16= 537J " 1= 2= 67^ " Note. — 1. The denominations barrel and hogshead are used in estimating the capacity of cisterns, reservoirs, vats, &c. 2. The barrel, hogshead, tierce, pipe, butt and tun, are the names of casks, which are usually gauged, having the num- ber of gallons they hold marked on them. 3. Ale or beer measure, formerly used in measuring beer, ale, and milk, is now seldom used. 4. 1 gallon of pure water weighs nearly 8^ lb. avoirdupois, hence a pint weighs about a pound. 5. The standard unit of wine measure is the gallon, which contains 231 cubic inches. The Imperial, or British gallon, contains 277.274 cubic inches. Dry measure. Dry measure is used in measuring vegetables and a,rticlea. not fluid. 2 pints (pt.) 8 quarts 4 pecks 36 bushels 1 quart, 1 peck, 1 bushel, 1 chaldron, qt. pk. bu. cald. Notes. — The standard bushel is the "Winchester, which contains 2150.42 cubic inches, or 77.627 lbs. avoirdupois of distilled water at its maximum density. Its dimensions are 18J inches diameter inside- 19^ inches DKT MEASITEE. 163 outside, and 8 inches deep, and when heaped to a cone 6 inches high, contains 2748 cubic inches. The Imperial or British bushel contains 2218 cubic inches, so that 32 of their bushels are equal to 38 of ours. Eea/pvng Measwre. — Potatoes, turnips and esculent roots, apples and other fruits, meal and bran, com ou the ear, and in some States, oats, are sold by the heaping bushel measiu'e. Table of Oompaeison of the Meastjees of Capacitt. ^ 1 gallon or 4 qt. wine measure contains 231 cubic inches, ^pk.orlqt. dry measure " 268f " 1 gallon or 4 qt. beer measure " 282 " 1. bushel dry measure 2150^ In England the following weights and measures are sometimes used : WEIGHT. 8 pounds rzl stone, butchers' meat' 7 pounds =1 clove. 2 cloves =1 stone common articles. 2 stone =1 tod of wool. 6 J tods = 1 wey ' " 2 weysz^l sack " 12 sacks =1 last " 240 pounds^l pack " CLOTH MEASXIEE. 2J'inoli6S=:l nail. 4 nails =1 quarter. 4 quarters =1 yard. 3 quarters =1 Flemish ell. 5 quarters=:l English elL 6 quarters =1 French eU. 4-iV quarters=l Scotch ell. DRY MEASITEE. 2 quarts =1 pottle. 2 bushels =1 strike. 2 strikes =1 coom. 2 cooms=l quarter. 5 quarters =1 load. 3 bu3hels=l sack. 36 bushels = I chaldron. WINE MEASUEE. 18 U. S. gal =1 runlet. 25 Bug. gal. or (j y 42 TJ. S. gal. J 2 tierces =1 puncheon. 52i Bug. gal. or ( _ 63 U. S. gal. S ~ 2 hogsheads =1 pipe. 2 pipes =1 tun. 7i Bug. gal.=:l firkin of beer. 4 firkins =1 barrel " 164 DEY MBASUKE. \ Table of the Compaeison of "Weights, &o. 1 tr. S. pound Troy=5760 grs. Troy. 1 Bng. pound Troy=5760 " " 1 pound Apoth, =5760 " 1 U. S. pound Av. =7000 " " 1 Eng. pound Av. =7000 " 144 pounds Av. =175 lb. " 1 French gramme =15.433 grs. Troy. 1 U. S. yard =36 inches. 1 English yard=86 inches. 1 French metre=39.368 + inches. 1 U. S. bushel =2160.42 + cu. in. 1 Eng. " =2218.19+ " 1 tr. S. gallon =231. " 1 Bug. " =277.26+ " 1 French litre =61.533+ " 1 French are =119.664 sq. yds. SQUAEE MEASURE. -' t- — V=? '4 * '/. re — 1^ 1^ Square measure is used in calculating areas or surfaces, as of land, lumber, painting, paving, &c. Table. 144 square inches (sq. in.) make 1 square foot, 9 square feet " 1 square yard, SOJ square yards " 1 square rod, 40 square rods " 1 rood, or qr. acre, 4 roods " 1 acre, 640 acres " 1 sq. mile or section, marked sq. a (( sq. yd. u sq rd. P. " E. l( A. 1< sq. m., sec. t166 square measure. Scale of Compaeison. A. R. P. sq. yds. sq. ft. sq. in. 1=4=160=4840 =43560 =6272640. j 1= 40 = 1210 =10890 =1568160. {{ 1= 30}= 272}= 39204. : 1=9= 1296. I 1 =z 144. 1 • I Note. — -Artificers usually estimate their work — 1. In ;j glazing and stone-cutting, by the square foot. 2. In pain t- ^iing, plastering, paper-hanging, &c., by the square yard. 3. In flooring, roofing, slating, &c., by the 100 square feet. ,4. In bricklaying, by the thousand bricks, by the square yard, and 100 feet. p The painting of mouldings, cornices, &c., is estimated by measuring the entire.surface. When bricklaying is estimated by square measure, the work is understood to be 12 incites thick. Surveyor's square measure is used in finding the area of land. Table. 625 square lints (sq. 1.) make 1 sq. rod, market sq. rd. 16 sq. rods " 1 sq. chain, It sq. oh. I'l sq. chains " 1 acre, A 640 acre.'! " I sq. mile, (1 sq. mi. 36 sq. miles (six miles square) " 1 township, •• Tp. LONG MEASURE. Long measure is used for distances, &c. Table. 12 lines or 3 barley -corns 1 inch, 12 inches 1 foot. marked ft. 3 ft 1 yard, " yd. 5^ yd. Irod, " rd. 40 rd. 1 furlong, " fur. 8 fur. 1 mile. " mi. Scale of Compaeison. mL fur. rod. yd. ft In. 1 = 8=320=:1760 =5280 =63360 1= 40= 220 = 660 = 7920 1= 5^= 16^= 198 1 = 3 = 36 1 = 12 SURVEYORS' MEASURE. Giinter's chain is used by land surveyors. It is 4 rods or 66 feet long^ and contains 100 links. Table. 25 links (li.) 1 rod, rd. 4 rods 1 chain, ch. 80 cliains 1 mile, mi Table of MisoELLANEons Linear Measuek. 3 inches 1 paliii. 4 inches 1 hand. |S>V?h6uw"/^^*°''°'*'°'''°"'' 9 inches 1 spian. : 3 feet 1 pace or-step. 3.28 feet 1 metre. ^ fiset 1: fathom. ). •. ^ ■.. . r^r>^ n ,1 4 .1 > Used la measuring deptha at Boa. 880 lathoms 1 mile. ) 3 geographical miles 1 league, fin ts an hour," means thirteen geographical miles an hour. CX.OTS HSASUBE. 169 2. 1 English mile equals 6280 feet, and 1 nautical, or geographical milcy equals 6086 feet. 3. The geographic mile equals about 1.15 English miles ; the German short mile, about 3.9 English miles ; the Grer- man long mile, about 5.75 English miles ; the Prussian mile about 4.7 English miles ; the Spanish common league, about 4.2 miles ; and the Spanish judicial league about 2.6 miles. 4. Measures of length were at first derived from the dif- ferent parts of the body, as the fingei\ lumd, the span, or the length of the thumb and middle finger extended ; cvbit, or the length of the forearm ; and the/a^Aom, or the length of the two arms extended. CLOTH MEASUEE. Cloth measure is used by merchants in the sale of cloth, ribbons, laces, &c. Table. 2 sixteenths (16th) 1 eighth, marked 8th, \ yd. 2 eighths 1 quarter, " qr., J yd. 2 quarters 1 half, " hlf., \ yd. 4 quarters or 2 halves 1 yard, " yd. Note. — The old system of measuring cloth is not now used. By it each yard is divided into 4 quarters, and each quarter into 4 nails, a nail being 2^ inches. 3 quarters make a Flemish ell, 5 quarters an English ell, and 6 quarters a French ell. , , 8 CUBIC MEASUEE. Table. 1'728 cubic inches (cu. in.) 27 cubic feet 40 cubic ft. of round timber or ) 50 cubic feet of hewn timber J 16 cubic feet 8 cord feet or ) 128 cubic feet f 24| cubic feet 1 cubic foot, 1 cubic yard, 1 ton or load, I cord, foot, 1 cord of wood, [ perch or 1 1 < stone, or >• ( masonry. ) marked en. ft. cu. yd. T. cd. ft. Cd. Pch. Cubic measure is used in estimating the contents of solids ; as wood, stone, capacity of cisterns, &c. CUBIC MEASUEE. 171 Cu^.i- foot. Cubic yard. To Jmid the cuhic contents of any solid iody. Rule. — Multiply the length by the breadth, and that pro- duet by the thickness. Notes. — 1. A load of earth contains a cubic yard, and weighs about 3250 lbs. 2. Railway and transportation companies estimate light freight by tlie number of cubic feet it occupies ; but heavy freight is estimated by weight. 3. A pile of wood 4 feet wide, 4 feet high, and 8 feet long, contains 1 cord / and a cord foot is 1 foot in length of such a pile. 4. A perch of stone or masonry is 16|- feet long, 1^^ feet wide, and 1 foot high, and contains 24f cubic feet. 5. A brick is usually 8 inches long, 4 inches wide, and 2 inches thick ; hence 27 bricks make a cubic foot. 6. Joiners, painters, and masons make no allowance for windows, doors, &c. Masons make no allowance tor the comers of the walls of houses or of cellars. The size of a 172 CUBIC MEASUEE. cellar is estimated by the measurement of the outside of the wall. Toil weight and ton measure.— K ton of hay, or any other, coarse bulky article usually sold by .that measure, is 20 gross hundreds, that is 2240 lbs. But in many places it has become the custom to count only 2000 lbs. for a ton. In freighting ships, 42 cubic feet are allowed to a ton ; ,in the measurement of timber, 40 solid feet if round, and 50 if square make a ton. THE METRIC SYSTEM OF WEIGHTS AND MEASURES* The metric'System of weights and measures had its origin in France during the Revolntion in the year 1790. The fol- lowing year a commission of scientific men was appointed by tlie government to select an appropriate unit, and as the result of their investigations the ten-millionth part of the earth's quadrant was chosen and called a J/eiT-e. To deter- mine the unit of weight a cube of pure water at its greatest density, each edge of which is one-hvmdredth of a metre, was taken and called a Gramme (anglicized gram). The mul- tiples and subdivisions were made to correspond to the deci- mal scale, hence its gi'eat simplicity'. Tliis system was declared obligatory in France after Nov. 2, 1801 ; but no penalty was attached to non-conformity until after- Jan. 1, 1841. The system has since been adopted wholly or in part by Spain, Belgium, Portugal, Holland, Great Britain, Greece, Italy, Norway, Sweden, Mexico, Guatemala, Venezuela, Ecuador, U. S. of Columbia, Brazil, Chili, San Salvador, and the Argentine Republic. In 1866 * The following article on the Metric System of Weights and Measures was prepared for this work by S. A. Felter. A.M.. author of a well-known series of mathematical text-booka. 174 METKIC SYSTEM OF WEIGHTS AND MEASURES. Congress authorized the metric system in the United States by passing the following bill : — AU ACT TO AUTHOEIZE THE USE OF THE METRIC SYSTEM OF ' WEIGHTS AND MEASURES. Be it enacted hy the Senate and House of Representutiwes of the United States of America in Congress asserhhled, That from and after the passage of this act, it shall be law- ful throughout the United States of America to employ the weights and measures of the metric system ; and no contract or dealing, or pleading in any court, shall be deemed invalid or liable to objection, because the weights or measures ex- pressed or referred to therein are weights or measures of the metric system. • Sec. 2. — And he it further enacted^ That the tables in the scliedule hereto annexed, shall be recognized in the construc- tion of contracts, and in all legal proceedings, as establish- ing, in terms of the weights and measures now in use in the United States, the equivalents of the weights and measures expressed therein in terms of the metric system ; and said tables may be lawfully used for computing, determining, and expressing, in customary weights and measures, the weights and measures of the metric system. The utility of the metric systefn commends itself, even at a glance, and hence it becomes important tliat all should become acquainted with it. It will doubtless soon come in- to general use to the exclusion of all other systems of weight and measure. The following is a brief and condensed' view ? METKIC SYSTEM OF WEIGHTS AND MEASUEES. 175 of the system, so clear and simple that a child can under- stand it :— The Met/rio System of weights and measures is formed upon the decima,! scale, and has for its base an invariable •unit derived from nature, and called a Metee ; and upon this unit all the imits of weight and measure are based. The Metre is the tenrmillionth part of the distance fi-om the equator to the pole; and is the principal unit of linear measure. The Are is a square whose side is ten metres. It is the principal unit of superficial measure. The Stere is a cube whose edge is a metre. It is the prin- cipal unit of solid or cubic measui-e. The Litre is a cube whose edge is the tenth of a metre. It is the principal unit of all measures of capacity. Tlte Gram is tlie weighty of a cube of pure water at its greatjest density, whose edge is the hundredth part of a metre. A litre of water weighs 1,000 grams, ' It is the prin- cipal unit of weight. i The names of the derivative denominations are formed by joining a Latia or (Greek prefix to the principal units. There are seven of these prefixes, derived as follows : {MiLLi, from Millesimus, a thousandth. Centi, from Centesimus, a hundredth. Deci, from Decimus, a tenth. 176 METEIC SYSTEM OF WEIGHTS AND MBASUEES. Greek. Deca, ten. Hecto, from Ilecaion, one hundred. Kilo, from Cliilioi, one thousand. Myeia, from Myrioi, ten tlwusomd. The formation of the tables can be seen at a glance by the following: — Milli Centi Deci Deca Hecto Kilo Myria - Metee. Aee.* \ Steee, - LiTEE. Geam. Names., ■rnONUKCIATIOS. Ab». mm. Names. Pbonunciation. , Abb. Millimelre Mill'-e-mee'-ter Hectostero Heo'-to-steer hs. Centimetre Seut'-e-meo'-ter cm. Kilos tero Kill'-o-steer Ics. Decimetre Dcs-e-mee'-ter Moe'-ter dm. m. Myriastere Mir'-e-a-steer Miir-e-li'-te^ mya. Metre Millilltre ml. Decametre Dek'-a-mee'-ter dhm Centilitre Sent' -e-Ii' -ter d. . Hectometre Hec'-to mee'-ter Hm. Decilitre Des'-e-ll'-ter dl. Kilometre Kill'-o-mee -ter km. Litre Li'-ter I. Myriametre Mir'-e-a-mee'-ter mym. Decalitre Dek'-a-li'4er dkl. ' MiUiare Mill'e-are ma. Hectolitre Hec'-to-li'-ter hi. Centiare . Sent'e-are ca. Kilolitre Kill'-o-li'-ter kt. Deciare Des'-e-are Are da..,. a. Myrialitro Mir'-e-a-Ii'-ter ■ Mill'-e-gram myl.-. Are Milligram mg. Deoare Dek'4ro dka. C 'entigram Sent'-e-gram C3- Hectare Hec'-tare ha. Decigram Des'-e-gram dq. Kilaro KiU'are ka. Cham Gram Q- Myriaro Mir -e-iire mya. Decagram Dek'-a-gram dkg. Mlllistcre Mill'-e-steer ms. Hectogram Heo -to-gram hg. Centistere Sont'-e-steer cs. Kilogram Kill'-o-gram kg. Deciptero Des'-e-steer ds. Myriagram Mir'-e-a'gram' myg. Sere Steer s. Quintal Quin'-tal ^; Decastere Dek'-a-steer dks. Tonneau Tun '-no T. * The a in deca and myria, and the o in hecto and ftito, are dropped when prefixed to Are. 1 METEIO SYSTEM OF WEIGHTS AND MEASUEES. 177 LINEAR MEASURE. lUustratioiu Metric Measjire. o , : "ri JNOTE. — Jtjy the accompany- ing illustration it will be seen that one-tenth of a metre, or ten centimetres, equals about 3ff in., or a trifle short of 4 in. This measure, as well as the other measures and weights, is -written as whole numbers and decimals. The decimal g point is placed at the right of S the unit; thus, 4.167 m. may ". be ;written 416.7 em. To make a metric rule, cut a piece of wood, paper, or tape,. 39| in. long. Divide it into ten equal parts, and each part into ten other equal parts ; each of these parts is 1 centimetre. Divide each centimetre into ten equal parts, and each part is a mil- limetre. nickel five cent piece of 1866 is 2 it is 5 grams. unit generally used for measure- 8* a : 00 1 !^ V> Ui ; ,^ E n = 0] = ■"^ E ; Oe'i The diameter of the itimetres, and its weigl The Centimetre is the 178 METEIG SYSTEM OF WEIGHTS AND MEIA.SUKES. ments less than a metre. For its length in common measure see illustration. The Metre is the imit commonly used bj' artisans. It equals 3 ft. 3f in. (nearly). The Kilometre is the unit commonly used by suiyeyors in measuring distances. Its length is 198 rd. 13 ft. 10 in. Table.* 10 millimetres 10 centimetres 10 decimetres 111 metres 10 decametres 10 hectometres IrO kilometres 1 centimetre. 1 decimetre. 1 Metre. 1 decametre. 1 liectometre. 1 liiilometre. 1 myriametre. Contracted. 10 millimetres = 1 centimetre. 100 centimetres = 1 metre. loo meVres = 1 kilometre. SQUARE MEASURE. Tlie square Metre is the unit commonly used by artisans in specifying surfaces of small extent. It contains about 10 sq. ft. 110 sq. in. The Are is the unit commonly used to express quantities less than the hectare. 100 ares make one hectare. The Hectare is the unit commonly used by surveyors * NOTE.— The unit of each table is divided into ten equal parts, designated by prefixing deci (tenth) ; as, decigram. The tenths are divided into ten other equal parts, designated by prefixing cenii (hundredth) ; as, cenWgram. The Imndredtlis are subdivided in the same manner, and are designated by prefix- ing milli (thousandth); as, mffligram. The contracted table is the most con- venient for common use. ■ . METEIC SYSTEM OF WEIGHTS AND MEASURES. 179 in estimating the contents of land. It contains 2.471 acres. Table. Contracted, 100 sq. millimetres =1 sq. centimetre. 100 sq. oentimetres=l sq. decimetre. 1 00 sq. decimetres =: 1 sq. metre. ] 00 sq. metres = 1 are. Fun. 10 milliares = 1 centiare. 10 centiares ^ 1 declare. 10 declares r= 1 Are. 10 ares ^' 1 decare. 10 decarps = 1 hectare. 1 hectares r= 1 kilare. 10 kllares = 1 myriare. 100 ares = 1 hectare. CUBIC OR SOLID MEASURE. T/ie cubic Metre or Stere is tile unit commonly used by ■engineers in estimating the solid contents of embankments, cellai's, walls, &c. It equals 1.308 cu. yards. Table. Fua. 10 millisteres 10 centisteres 10 decisteres 10 Bteres 10 decasteres 10 hectosteres 10 kilosteres 1 oentistere. 1 decistere. 1 Stere. 1 decastere. 1 hectostero. 1 kilostere. 1 myriastere. Contracted. 1000 eu. centimetres = 1 litre. 1000 litres = 1 stere. 1000 steres = 1 kilostere. DRY AND LIQUID MEASURE. The unit commonly used in the measurement of grain, roots, and liquids by the barrel is the hectolitre. It equals 26.417 gal. wine measure, or 2.839 bu. dry measure. The unit commonly used by grocers is the litre. It equals 180 METRIC SYSTEM OF WEIGHTS AND MEASUEES. 1.056 qt. wine measure, or .908 qt. dry measure, or a trifle more than a wine quart. Table. mil. 10 millilitres = 1 centilitre. 10 centilitres =: 1 decilitre. 10 decilitres = 1 Litre. 10 litres = 1 decalitre. 10 decalitres . =: 1 hectolitre. 10 hectolitres = 1 kilolitre, lu kilolitres = 1 myrialitre. Contracted. - 100 centilitres = 1 litre. 100 litres = 1 hectolitre. 1000 Utres — 1 kUoUtre. WEIGHT. The unit commonly used in philosophical experiments. by jewellers and di'uggists is the gram. Its weight is 16.432 [ gr: troy. Tlic unit commonly used by grocers is the Icilogram, com- monly contracted kih. It is the weight of a litre of pure water, and equals 2.2046 lbs., or about 2-J- lbs. avoirdupois. The unit commonly used in weighing heavy bodies, as coal, iron, marble, R. E. freight, «fec., is the tonneau. It is the weight of a cubic metre of pure water, and equals 2204.6 lbs. avoirdupois. Table. Full. • • 10 milligrams = 1 centigram. Ill centigrams = 1 decigram. 10 decigrams = 1 Gram. 10 grama = 1 decagram. 10 decagrams = 1 hectogram. ] hectograms = 1 kilogram. 1 kilograms = 1 myriagram. 10 myriagrams =: 1 quintoi. ' 10 quintals = 1 tonueau. Contracted. 100 centigrams = 1 gram. lOOn grams = 1 kilogram. 1000 kilograms =" 1 tosneau. METEIO SYSTEM OF WEIGHTS AND MEASUBES. 181 MEASUKEMENT OF ANGLES. In the oentesvmal or French method the right angle is divided into 100 equal parts called grades, the grade into 100 equal parts called minutes, the minute into 100 equal parts called seconds. Table. 100 seconds (') = 1 minute (') 100 minutes = 1 grade (gr.) 100 grades = 1 right angle (r. a.) Note. — Since the signs for both the common and centesi- mal methods are the same, to prevent confusion when min- utes and seconds are expressed in the centesimal method, annex the abbreviation cen. ; thus, 3' 46" cen. CUERENCY. Scale. Table. 10 millimes = 1 centime. 10 centimes = 1 decime. ' jt; ^ g '^ 10 deoimes = 1 Frcmc. : a..s a • aj S"a 0. LINEAR MEASURE. Table* of equvoalents. 1 in. = 1h\ mm. (nearly). 1 ft. = 306 mm. (nearly). 1 yd. = 914 mm. 1 rd. = 5029 mm. 1 mi. = 1609.35 m. 1 cm. = .3937=1 in. (nearly). 1 m. = 39.37 in.=1.093 yd. 1 km. = .62137 mi. = 198 rd., 13 ft., 10 in. * Authorized by Act of Congress, July 27, 1866. 182 SPECiFio GEAvrrr. Squaee Measure. — TcMe. 1 sq. In. i= 6.5 sq. cm. 1 sq. ft. = 9..S sq. dm. 1 sq. yd. = .835 sq. m. 1 acre = 40.47 a. 1 sq. cm. 1 sq. m. 1 are. Iha. = 1 .155 sq. in. ' 1550 sq. in. , 10.76 sq. ft. 119.6 sq. yd. 2.411 acres. Ctjbio Measttke. — TaMe. 1 cu. 1 ou. ft. 1 cu. yd. 1 cord 1 fluid oz. Igal. 1 bus. , - -j.o = le.SST cu. centm. 28.34 litres. .0283 stores. .76531 stores. 3.6281 steres. .02958 litres. 3.786 litres. 85.24 litres. -, lit™ - i l-OSSI qt. liq. meas. J. litre - -^ gpg q^. ^ jjjg^g 1 liecto- j 2.837 bu. dry meas. litre = { 26.417 gal. liq. meas. Ikiloli- ~1 f 35.316 ou. ft. tre 1.308 ou. yd. 1 cu. me- ?■ = ■{ 264.17 gal. liq. tre I meas. 1 store J (.2759 cord. 1 oz. troy 1 lb. troy 1 lb. apoth. 1 oz. avoir. 1 lb. avoir. Weight. — Table. = 31.1 grams. 1= 373.2 " = 28.35 453.6 1 ton avoir. 1 gram. 1 kilogram 1 toimeau : 907.2 kilos. _ ( 15.432 gr. troy. ~ ( .5643 dr. avoir. = 2.2046 lb. avoir. = 2204.6 lb. avoir. AiiTGiTJLAE Meastjee. — Tohle. 1 r. a. =s 100 grades. 1° = 1^ grades. , 1' = 1.85 minutes ('oen.). 1' = 3.08 seconds ("cen.). 1 cir. 1 _ 1' cen. 1" cen. = 400 grades. = 9 deg. = 5.4'. = 3.24". SPECIFIC GEAYITT. ■When a cubic foot of a substance is compared with the same bulk of water, and weighs a certain number of times as much, that number is called its speoific gramiiy. When any substance weighs less than water, it will float sPEoiFio GEAvrrr. 183 on it, and when it weigts less than air, it will rise in it ; thus, iron will float in melted lead, gas wiU rise in the air, and wood will float on water. The we%ht of a cubic foot of water being 1000 ounces avoirdupois, it has been adopted as the standard of specific gravities. Hence the specific gravity of a body or substance is the proportion its weight bears to this standard. To find the specifk gramity of a hody. EuLE. — Weigh it first in air and then in water, and take the difference of these weights ; then as the difference is to the weight in air, so is 1000 to the specific gravity of the body. Example. — "What is the specific gravity of a stone weigh- ing 20 lbs., but in water only 15 lbs. ? Solution.— 20— 15=5 difference; then 5 : 20:: 1000 : 4000. Ans. When the 'body is lighter than water. 184 SPECIFIC GEAVITT. KiTLE. — Attach to it a piece of metal sufficient to sink it in the waiter ; weigh the piece added and the body separately, both in and out of the water, and find how much each loses in water by subtracting its weiglit in water from its weight in air, and subtract the less of these differences from the greater ; then as the remainder is to the weight of the light body in air, so is 1000 to the specific gravity of the body. Example. — Kequired the specific gravity of a piece of wood which weighs 20 lbs. in air ; attached to it is a piece of metal, which weighs 30 lbs. in air and 25 lbs. in water, and the two pieces together weighing in water 10 lbs. ? Solution.— 20 + 30— 10=40 30-25= 5 35 : 20:: 1000: 571.44. Ans. To reduce the s^edfio gravity of a lody to its weight in lis. per cuMc foot. EtTLE. — Divide the specific gravity by 16, and the quotient is the weight of a cubic foot in lbs. Example. — ^Eequired the weight of a cubic foot of a sub- stance the specific gravity of which is 4.800 ? SoLimoN.— 4.800-4-16=300 lbs. Ans.. SPECIFIC GBAVITT. 185 Table, showmg the speoifio gravities of ^various mibstances. DBSiaHATlON. Sp. GraTily. Antimony, . . . 6.712 Arsenic 5.763 Bismutb, 9.828 7.820 8.700 Bronze Copper, 8.788 Copper wire,. . 8.878, Gold, pure, . . . 19.258 " 22 carat. 17.486 " 20 carat 15.709 Iron, cast, 7.207 " bars 7.778 Lead, 11.352 Mercury,. 13.598 Platinum, .... 22.069 Silver, 10.477 Steel......... 7.833 Tin,. 7.291 6.861 2.730 Zinc Alabaster, Amber, 1.078 Asbestos, 3.073 Borax 1.714 Brick 1.900 Chalk 2.784 Charcoal .441 Clay, 1.930 Coral Coal, bit,... " anthr.,. Diamond, . . . Earth, loose,. Emery Flint, Grlass Granite, Grindstone,. . Gypsum Hone, white. Ivory, Limestone, . . Litaie, quick, . Manganese .. Marble, par.,. DRY WOOD. Apple Adder, Ash Beech, Bo.x, Campeachy, . Cherry, , Cocoa 2.700 1.270 1.656 8.521 1.500 4.000 2.590 2.930 ^.626 2.143 2.168 2.876 1.822 3.180 .804 7.000 2.838 .793 .800 .845 .862 1.231 .918 .715 1.040 Cork, .240 Cypress, .644 Ebony,.. 1.331 EHder .695 Elm .671 Fir, yellow, . . .657 " white .669 Lignum vitse,.. 1.333 Live oak 1.120 Logwood .919 Mahogany, . . . 1.063 Maple,. ..■ .750 Mulberry, .... .897 Orange, .705 Pine, yellow,. . .660 " white, . . .554 Pear, .661 Plum .785 Quince .705 Sassafras .482 Walnut .671 Willow, .585 Yew, .798 Hickory .838 Poplar, .383 " while,.. .529 When the specific gr amity of a substance is gi/oen, to find the weight of a cubic foot. Rule. — Multiply the weight of a cubic foot of pure wa- ter (62^ lbs.) by the specific .gravity of the given substasce. I wish to find the number of cubic inches in a piece of cast iron, that will displace 25 ounces of water, What will it weigh ? Opeeation.— 1. 25 oz.x 1728=43200. 2. 43200-=-1000=43 cu. in. (nearly). Ans. 3. 25 oz.x 4501^1000=11 lb. (nearly). Ans. 166 SPECIFIC GEAVITT. Note. — To find the number of cubic inches in any irregu- lar body, weigh a vessel containing sufficient rain water to coTer the solid, then immerse the solid in the water by means of a string or wire held in the hand, being careful not to touch the vessel. "While the solid is immersed, weigh the water and vessel again ; the difference will be the weight of the water displaced by the solid. 'Rule. — I. Multiply the weight of the water in ounces by 1728, and divide by 1000, the result will be the contents in cubic inches. II. To find the weight, multiply the weight of the water displaced in ounces by the weight of a cubic foot of the substance, and divide the product by 1000, and the result will be the weight in pounds. I have a pattern of a lock that will displace 20 ounces of water ; how much will 1000 copies of cast iron weigh ? How much will they cost me at 9 cents per pound ? Operation.— 20 x 450^^-1000=9.01 lb. lb. 9.01 X 1000 X 6.09=$810.90. . Ans. I have a lead pattern of a wheel that displaces 15 ounces of water ; what will 500 copies in brass cost me at 40 cents per pound ? Operation.— 15 x 504| 4- 1000=7.571 lb. 7.571 X 500 X $.40=11514.20. Ans. tELocnr, 18T Table, showing the weight of a cfuMc foot of different substances. Avoir. 1 cubic foot of Brass .weighs 504f lb. " " Brick " 125 " " " Copper " 555 " « « Clay " 135 « « " Coal (anthracite) " 54 " " " Coal (bituminous) " 50 « " " Granite " 165 " « " Iron (wrought) " 486f « " " Iron (cast) " 450J « « '« Lead " 708| " « « Marble " 171 " " " Soil (common) " 124 " « " Sand " 95 « « " TaUow " 59 " " " , Water (pure) " 62J « « " Water (sea) " 64^ " « " Wood (oak) " 55 « " " Wood (yellow pine) " 42 " « « Wood (white pine) " 30 " " « Charcoal (hard wood).... " 18J" « " Charcoal (^ine wood) .... " 18 « « « Cork " 15 " VELOCITY.* The average velocities of different objects are found in the following , • Parker's Philosophy. 188 solid mattee ast) wateb in abtioles of diet. Table. Per hour. Per aec. A man walks 3 miles, or 4 feet. A horse trots 7 " or 10 " Ahorserans 20 " or 29" Steamboat runs 18 " or 26'-' Sailing vessel runs 10 " or 14 " Slow rivers flow 3 " or 4 " Eapid rivers flow 7 " or 10 " A moderate wind blows 7 " or 10 " A storm moves 36 " or 52 " A hurricane moves 80 " or 117 " , A rifle ball " 1000 " or 1466 " Sound " 743 " or 1142 " Light " 192000 miles per sec. Electricity " 288000 " " " SOLID MATTER AND WATER IN ARTICLES OF DIET. Table, showing the jproportion of solid matter cmd water in 100 jpa/rts each of thefoUowmg a/rticles of diet. Deaignatloa. Solid matWr. . Wftter. DeBlg&atlon. ' Solid matter. Water. Wheat 87 87 86 86 86 86 74 , 61 29 27 26 26 25 25 13 13 U 14 14 14 26 49 71 73 74 74 75 ' 75 Pork 24 21 20 19 18 16 13 13 13 13 8 7 ' 6 3 76 - Peas Codfish - 79 Eice Blood 80 Beans. Trout. 81 Eye A.pple8.. . ,' 82 Com.^.. 84 Oatmeal 87 Wheat bread Beets 87 Mutton Milk 87 Chicken *..... Oysters 87 Lean Beef 92 Eggs TurniDB 93 Veal Water Melon Cucumber 95 Potatoes 97 WEIGHTS OF GHAIN, SEEDS, &0. 189 WEIGHTS OF GRAIN, SEEDS, &o. Table, showing the weight of grain, seeds, c&G.,per lushel, as established ly the Legislatures of the foTUmim^ States. The letter m indicates sold ly measv/re. Wheat, Iba Eye Corn, Oats Barley, Buckwheat, . . , . Clover eeed, . . . . Timothy seed,. Flax seed, Hemp seed, . . . . Blue-grass seed. Apples, dried*.. Peaches, dried, . Coarse salt,.... Fine salt, Potatoes, , Peas, Beans, Castor Beans, . . Onions, Corn Meal, Mineral Coal, . . 56 60 Ul 60 60 60 To reduce cubic feet to busliels, struck meaaure, divide the cubic feet by 56 and multiply by 45. 190 NUTBmVE VALUE OF CERTAIN CEOPS. PEOPORTION" OF ALCOHOL IN LIQUOES. Table, shoeing the proportion of alcohol in 100 pwrts, each, of the followmg Uguors. Designation. Farts in lOO. Scotch Whiskey 54. B2 Irish Whiskey 53.9 Bum 53.68 Brandy 53.39 Gin 51.6 Port 22.9 Madeira 22.27 Currant 20.55 Teneriffe 19. T9 DeBlgnatlon. Farts la lOQ. Sherry 19.17 Claret.... 15.1 Champagne 13.8 Goosebeny. 11.84 Elder. 8.79 Ale 6.87 Porter. 4.2 Cider 9. 8 to 6.3 Prof. Brande. NUTEITIYE YALTJE OF CEETAIN CEOPS. If we suppose an acre to yield the followmg quantities of the usually cultivated crops, the weight of dry starch and gum, of gluten, albumen, casein, &c., of oil or fat, and of saline matter, reaped in , each crop, will be represented nearly by the following numbers : — DISIONATION. 'm lbs. 1^ 1 11 Oil. 1 1 Wheat 25 35 60 26 25 30 12 tons 30 " IJ " 1* " 2 " 20 " 1500 1800 2100 1600 1600 1800 27000 67000 3000 3400 4500 45000 225 270 420 130 160 100 1080 1340 1600 1020 1120 430 825 1080 lri60 800 640 1260 4800 6000 900 1360 1800 2300 180 230 300 380 420 220 540 1000 40 240 420 1300 45 60 100 i4 40 130 . 45 200 80 120 200 130 30 Barley ■ 50 Oats 75 Peas 48 Beans 50 Indian Com, SO Potatoes 240 Turnips 450 Wheat Straw 160 Meadow Hay 220 Clover Hay 400 Cabbage 600 Johnston. QUANITTT OF SEED EEQBIKED. 191 NoTi;. — From the above table it appears that the acre which, by cropping with wheat, would yield a given weight of starch, sugar, and gum, would, when cropped with bar- ley or oats, yield one-fowrth more of thes^e substances — ^with potatoes, about fc/wr times as much, and with turnips eight times the same quantity. In other words, the piece of ground which, when sown with wheat, will maintain one man, would support one and a quarter if sown with barley or oats, four with potatoes, and eight with turnips — m sofa/r , as the nu1m,tvve power of these (Tops depends on the sta/rdh, sugar, amd gum they Gontam. PEECEISTTAGE OF OIL IN" SEEDS, GEAIN, &c. Oil per cent, in different seeds, gtam,, c&g. on per cent. Linseed 11 to 22 say 17 Hempseed 14," 25 " 19 Rapeseed. ■ 40 " 10 " 55 White mustard 36 " 38 " 31 Sweet almond 40" 54 " 47 Bitter almond 28" 46 " 37 Turnip seed 40 " 60 " 45 Wheat flour 2 " 4 " 3 Barley 2 " 3 " 2^ Oil per cent. Oats 5 to 8 say 6^ Indian com 5 " 9 " 7 Wheat bran 3 " 5 " 4 Potatoes, turnips, and cabbage. IJ Wheat-straw. 2 " 3^ " 3 Oat-straw 4 jfeadow hay 2 " 6 " 3| Clover hay 3 " 5 " 5 QUAI^TITIES OF SEED EEQUIKED TO THE ACEE, &o. ' Table, showing the quantity of garden seeds regui/recu to plant a given space. Designation. Space and quantity of seeds. 1 oz. produces 1000 plants, and requires a bed 12 ft. sq. 1000 plant a bed 4 feet wide 225 feet long. 1 quart plants from 100 to 150 feet of row. 1 " " 250 or 350 feet of row. 1 " " lOOhUla. 1 " " 300 hills, or 250 feet oif rowi Roots . . Eng. Dwarf Beans French " Beans, pole, large " " small 192 QUAimTY OF SEED EEQUIEED. Designation, Beets Broccoli and Eale Cabbage Cauliflower. . . . Carrot Celery Cucumber Cress Egg Plant Endive Leek Lettuce Melon Nasturtium. . . . Onion Okra Parsley Parsnip Peppers Pumpkin Badish Salsify Spinage Squash Tomato Turnip Water Melon. Space and quantity of seeds. 10 lbs. to the acre ; 1 oz. plants 150 feet of row. i oz. plants 2,500 plants, and requires 40 sq. ft. of ground. Early sorts same as brocoli, and require 60 sq. ft. ground. The same as cabbage. 1 oz. to 15U of row. 1 oz. gives 7000 plants, and requires 8 sq. feet of ground. I oa. for 160 hills. 1 oz. BOWS a bed 16 feet square. 1 oz. gives 2000 plants. 1 oz. gives 3000 plants, and requires 80 feet of ground. I oz. gives 2000 plants, and requires 60 feet of ground. 1 oz. " 7000 " and requires seed bed of 120 feet. 1 oz. for 120 hills. I oz. BOWS 25 feet of row. loz. " 200 " " I oz. " 200 " " loz. " 200 '■ " loz. " 250 " '< 1 oz. gives 2500 plants. 1 quart sows 120 feet of row. I oz. to 50 hUls. 1 oz. to 100 feet. 1 oz. to 160 feet of row. 1 oz. to 200 feet of row. 1 oz. to 75 hills. I oz. gives 2500 plants, requiring seed bed of 80 feet. 1 oz. to 2000 feet. 1. oz. to 60 hills. Table, showing the quantity of Designation. Quantity of ■Wheat ljto.2 Barley IJ to 2J Oats 2 to 4 Eye 1 to2 Buckwheat f to 1 J Millet 1 tolj Corn i to 1 Beans 1 to 2 Peas 2§to3} Hemp.. 1 to ij Flax }to2 Eice..., 2 to2J ■eed. bush: seed required to the acre. Designation. Quantity of aeed. Broom Corn. 1 to IJ bush. Potatoes 6 to 10 " Timothy 12 to 24 quarts Mustard 8 to 20 " Herd Grass 12 to 16 " Flat Turnip 2 to 8 lbs. Bed Clover 10 to 16 " White Clover., 3 to 4 " BlueGraes..-. 10 to 15 " Orchard Grass 20 to 30 " Carrots 4to 5 " 6to 8 " Table, sTumvng the quantity per acre when planted in rows or drills. Broom Com 1 to 1^ bush. Beans 1^ to 2 " Peas l| to 2 " Onions. 4 to 5 Iba Carrots. . . ., 2 to 2 J " Parsnips 4 to 6 " Beets.. 4 to 6 " PEOPOETIONS OF WEIGHT TO BULK. 193 DEPTH OF SOWING WHEAT. Wheat may be sowed too shallow as well as too deep. The depth must vary with the soil. A thinner covering is required in a close, thick, heavy soil, than in one light, gravelly, and sandy. Experiments made with wheat ,give the following results : — Seeds sown to the depth of i inch, ti it (( u 1 a Appeared above gronnd in 11 days. 12 " 18 " 20 " 21 " 22 " 23 " No. of plants that came up, I all. PEOPOETIONS OF WEIGHT TO BULK. Table, showing the weight per cubio foot of va/rious sub- stances, CMid the nvmher of cubio feet required to make a ton of each.; Maierial. METALS. Cast Iron , Wrought Iron , Steel Copper, cast , Copper, ■wrought. , , Lead ........ Silver Tin Gold Zinc . ' Platinum.... Mercury, ... "White Lead . STONE, ETC. Granite Limestone Marble Paving Stone Sand Stone Brick , Chalk Clay Lbs. per cubic fl Cub. feet I per ton. I Material 4S4 4.93 ■(RS 4.68 4!M) 4.6 M» 4.08 557 4.02 524 4.03 7(IH 3.16 1)54 45B 4.9 ISdS 4R9 5. 1218 »4« 2.64 198 11. 165 13.S IBi IS .5 171 18.1 151 14.8 13(1 17. 120 18.7 174 12.8 125 18. STOKE, ETC. Glass Sand Slate WOOD. Ash Beach Cedar Elm Mahogany, Spanish.... Oak, English White Oak, American.. Live Oak Pine, Pitch ,. " Yellow " White Poplar , MISCELLANEOUS, Water, fresh " salt ..,.. Air* Steamt Cork , Olive oil Tallow , Lbs. per Cub. feet cubic Tl. per ton. 180 95 167 48 46 .35 44 57 53 45 70 34 46 62.5 64.6 .07529 15. 57. 59. 12.44 23.66 13.4 46. 48.7 ■ 64. 61. 39.3 43. 49. 33. 51.6 69. 35.8 34.1 8 149.8 39.8 * At the level of the sea. t Not under pressure. COEN— POEK.. According to the Patent Office Eeports, and the results of numerous experiments, 1 bushel of corn weighing 56 lbs. will produce 10^ lbs. of pork. Throwing off ^ to come at the net weight, gives 8-| lbs. of pork as the product of 1 bushel of corn, or 1 lb. of pork as the product of 6f lbs. of corn. Sf lbs. of cooked corn-meal makes 1 lb. of pork. Assuming that it requires 6f lbs. of com to make 1 lb. of pork (exclusive of the labor of feeding and taking care of hogs), the relation which the price of corn bears to that of pork is exhibited in the following Table, showing the price of pork per lb. at different prices per hushelfor corn. Com per bush. Pork per potmd. Com per bush^ Pork per pound. Cents. Cents. Cents. 12i .... 1.50 38 4.52 15 1.78- 40 4.16 11 2. 42 5. 2« 2.38 . . 45 ... 5.35 22 2.62 60 6.95 25 2.96 65 6.64 - 80 8.S7 60 1.14- 33 3.92 65 1.14 35 4. 10 8,51 By reversing the above table we have the price of corn per bushel at different prices per lb. for pork. The use of the above table is obvious. For example, should corn be OOHN — ^POEK. 195 selKng for 60 cents per bushel and pork for only 5 cents per lb., it would be most profitable to sell the corn ; but should corn be selling for 40 cents per bushel and pork for 6 cents per lb., it would be most profitable to reduce the corn to pork, and sell the latter. To find the price ofjporkper lb., taking the price of corn per hushel as the dainmi. EuLE. — Divide the price of a bushel of corn by 8.40 (the number of lbs. of pork produced by a bushel of com), and the quotient wUl be the answer. Example. — When corn is 20 cents per bushel, what should be the price of pork per lb. ? SoLUTioiT.— 20.00 cents, --8.40 lbs., =2.38 cents. < Ans. To fimd the price of com per Imshel, taking the price of pork per lb. as the dabwm. EnLE.— Multiply the price of a lb, of pork by 8.40 (the number of lbs. of pork produced by a bushel of corn), and the product will be the answer. Example. — "What should be the price of corn per bushel when pork is selling at 4|- cents per lb. SoLimoiT. — 4.50 cents, x 8.40 lbs.,=37.8 cents. Ans. Note. — The foregoing table and rules must not be taken as immaHdhly correct. It requires but little reflection to satisfy the farmer that the proportions and results exhibited by them must be influenced by many conditions and causes such as the sample of corn used, the constitution and breed 196 COEN POEK. as well as the age of the animal, its condition, powers of di- gestion, habits, health, &c. The very nature of the subject precludes the possibility of exactly defining the results and proportions. At best we can only have some general, a/oer- age results and rules. The foregoing is deemed a safe gen- eral average. » fl^ ^N f i^SJi i- g^p,^^»=^. T * LIFE AND INCREASE OF ANIMALS. To Iceep hens in winter. Provide — 1. A comfortable roost; 2. Plenty of sand, gravel and ashes, dry, to play in ; 3. A box of lime ; 4. Boiled meat, chopped fine, every two or three days ; 198 LIFE AND INCEEASE OF ANIMALS. 5. Corn and oats, which will be best if boiled tender ; 6. All the crumbs and potato parings ; 7. Water, neither cold nor blood-warm. This treatment has proved quite successful in a great many cases whei'e the formula has been strictly adhered to, and hens which without it gave no eggs, with it immediately laid one each, on an average, every two days. Table, slwwing tJie period of reproduction a/nd gestation of domestic animals. Proper age for reproduo- Period ofthe No. of Fe- males for one PERIOD OF GBSTATIOM AMD INCUBATION DESIGNATION. p>-oducUoa In -hottest pe- Mean peri- Loni^est pe- tlon. , years. Male. riod, days. od, days. riod, days. Mare, 4 years. 10 to 12 322 347 419 Stallion 6 •' 12 to 1.5 20 to 30 Cow 3 " 10 to 14 240 283 321 Bail 3 " 2 " 2 " 8 to 10 6 7 30 to 40 40 to 50 146 154 Ewe, 161 Kam, Sow, 1 " 6 1G9 115 143 1 " 2 " 6 6 6 to 10 160 156 She Goat, 163 He Goat 2 " 5 20 to 40 She Ass, 4 " 10 to 12 365 380 391 He Aps 5 " 12 to 15 She Buffalo, . . 8 281 808 335 Bitch, 2 « 8 to 9 55 60 63 Di>g 2 « 1 " 8 10 9 Sto 6 48 SO She Cat, 56 Be Cat 1 " 9 to 10 Sto 6 Doe Kabbit,. 6 months 5 to 6 20 28 33 Buck Babbit,. 6 " 5 to 6 '80 (.iock, 6 " 5 to 6 12 to 15 Hen 3 to 6 19 24 21 26 24 Turkey • 30 Duck 28 30 32 Goose 27 30 33 Pigeon, 16 18 20 Pea Hen 25 28 SO Guinea Hen . 20 23 25 Swan, 40 42 45 LIFE AND INCREASE OF ANIMALS. 199 Growth and life of animals. Man grows for 20 years, and lives The Camel The Horse " The Ox " 'J he Lioa " The Uog " The ( at " The Hare " The Guinea pig 8 5 " 4 " 4 " 2 " 90 or 100 yeaiB. 40 25 l.i to 20 " 20 " 12 to U " 9 or 10 " 8 ". 7 months, and lives 6 or 7 " A Table showing at one view when Forty Weeks {the period of ^gestation in a cow) will expire, frmn any day through- out the year. Jan. Oct feb Kov March Uei; April Juu May. Feb June. March. 1 8 1 1 6 1 6 1 5 1 8 2 2 2 7 2 7 2 (> 2 9 3 10 3 lU 3 8 3 8 3 7 3 10 4 11 4 11 4 9 4 9 4 8 4 U 6 12 6 12 5 1(1 5 10 5 9 5 12 6 l:i 6 13 6 11 6 11 6 10 U 13 7 14 7 14 7 12 7 12 7 11 7 14 8 15 8 IS 8 13 8 13 8 12 8 15 9 16 9 IB 9 14 9 14 9 13 9 16 10 17 10 17 10 15 10 15 10 14 10 17 U 18 11 18 11 Ki 11 16 11 15 11 18 12 19 12 19 \l 17 12 17 12 16 12 19 13 20 13 20 13 18 13 18 13 17 13 20 14 21 14 21 14 19 14 111 14 18 14 21 15 22 15 2i 15 20 15 2(1 15 1!) 15 22 16 23 1(1 23 16 21 16 21 16 20 16 23 17 24 17 21 17 22 17 22 17 21 17 24 18 2> 18 25 18 28 18 2;j 18 22 18 25 19 26 19 «r> 19 24 19 24 19 23 19 26 20 27 20 27 2i> 25 20 25 20 24 20 27 21 28 21 28 21 2(i 21 23 21 25 21 28 2J 2 o ««■ 1-1 a 1 c u S ^ 1 m s, ■ -SI . Atblrtli. ^i s4 12(14 o u L s 38 i h H |3| 4S93 28.1: 34 1772 30.24 68 772 37 12.43 1 3029 i74 ti S5 1737 35 23.22 C9 735 37 2 3356 188 ti 36 1702 35 U 70 698 37 10.0) 8 SU7 i;i2 11 S7 1007 35 " 71 001 37 *i, i 3035 84 n 38 1632 35 72 024 37 tt 5 2951 58 40.8: 39 1597 S5 it 73 6S7 37 tt 6 2893 fiS ;; 4) 1562 35 26.04 74 549 37 tt 7 2838 47 41 1527 35 4l 75 511 37 7.83 8 2791 . 40 11 42 1492 3> tl 76 474 37 K 9 2751 36 •' 43 1457 35, tt 77 437 37 l( 10 2715 28 39.2.-^ 44 1423 31 if 78 400 37 II 11 2i;87 27 (« 45 1396 27 23.92 79 31,3 37 it 12 2060 27 it 46 1369 27 II SO 326 35 5.85 13 2 63 J 27 It 47 1342 27 If 81 2J1 34 it 14 260U 27 II 48 1315 27 II 82 257 34 tt 15 2579 42 30. If 49 1810 27 II 83 22 5 34 " 16 2537 43 t* 5Q 1288 27 21. IC 81 1-9 34 tt 17 2494 43 II 61 1261 27 41 85 155 21 4.57 18 245 L 43 tt 52 l2.U 27 11 S-6 l;i4 21 (( 19 24U8 43 tl 53 1207 i7 l( 87 113 21 11 20 2365 43 34.21 64 1180 27 11 83 92 20 II 21 2322 42 tt 65 1153 27 18.26 89 72 20 II 22 2280 42 1( 66 1120863 19 1.52695 3.0 '559 8 1 .47745 1.5U3K4 20 1 .6'329 3.20713 9 1.56132 1.68947 21 1.78.'i9S 8.3995G 10 1.B2889 1.79084 22 1.92526 3.60353 11 1.710^3 1.89ti29 23 1.07152 3.81974 12 1.79S86 2.01219 24 1.22609 4.04893 ANNUITIES. 219 Explanation. — Opposite the number of years in the column under the rate per cent., will be found the amount of .$1, with the compound interest included for the time given. Should the amount of any given sum with the compound interest at a given rate per cent, for a given time be required, multiply the amount found in tlie column im- der tlie given rate per cent., and opposite the given time, by the sum at interest so given, and the product will be the answer. Example. — What will be the amount of $150 at compound interest at the rate of 5 per cent, for 10 years ? Solution.— 1.62889 x 150=$244.33.35. Ans. ANNUITIES. Table, allowing tlie present worth of $1 annuity at 5 and 6 per cent, compound interest for any number of years from 1 to 34. Ye>r. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ii per cttul. 6 per ceut. Yeari. tj per ceut. C per ceaL 0.9.5238 0.94339 18' 11.68958 10 82760 1.8-941 1.83:^39 19 12.08532 ll.l5f-ll 2.72S25 2.ti7;.lil 20 12.46221 ll.4699i 3.54 '95 3.40)10 21 12.X2115 11.76407 4.3 948 4.21236 22 13.1(i300 12.04158 5.075e9 4.9I7.S2 23 13.48807 12.30338 5.7N,37 6..58.'38 24 13.79864 12.6.i(i35 6.46821 6.211979 25 14 09H94 12.7833.5 7.107N2 G. 80169 26 14.37518 13.003IG 7.72173 7.36. 08 27 14.64303 13.21053 8.30K41 7.88087 28 11.89813 13.40(il6 8.>--632r, 8.38381 29 15.14107 13. 59.(72 9.393.57 8.85.68 30 15 . 37245 13.76483 9.89S(i4 9.29493 31 1.5.a9.'81 13.929118 10.379KI! 9.71225 32 16.80268 14.(l83:)8 10.83777 10.10589 33 16.00255 14.2:917 11.27407 10.47726 31 16. 19294 14.36613 For explanation and example see Compound Interest above. 220 INTEREST TABLE. ^ s C4 e ^ ^ bo CO CO CO Jr- q q O i-H CO :o CO o l-< i-H C IN (N (M .-OM (N !•- XT' 1-1 CD t-. - 1 CO Oi CO CO q q q q CO J:^ q q CO J:^ Oj OS q q w f 1-, O l-H CO CO eo CO ifi) CO Ci I-H l-H CO c» CO CO CO CO & lOt- c: iQ CO CO q q q q L-QO q q O 1-* ss JO r- CO lO IS c o CO CO % co so o 3 94 CO ■q q c; i> CO c^ iO so q q CO t- q q 00 GS q q CO OS 8 2 II r-i 1-1 CO to CO ta r-«-i-4 5S 1- C5 ^ ■-« I-l q q CO ir- cq M q q »a r-< CO -^ q q q q CO 00 o so q q t- 00 q q IN ift oq CO OS S2 US IN O IN 1?- tf3 r- CO cc c* o ^ c q IL CO q q CO CO q q is c; CO q q t-QO q q c .-o 00 Ol q q C If OS O q rH C CO % ii c q IN M q ;3 to Ci CO CO c q L.0O 8S £8 CO 1^ 00 OS q q II 9 t- CO q q CO CO o q w CO (M 5-1 q q 1^ .-. C-i CO c q CO CO q q oo o.q CO IN §8 q q i::* 00 SC t- q q CO so CO ta So q q O J:* q q .. . CO q q in ci 01 c o CO o» CO CO c o e» — 2 CO CO 88 r- oa c o c o Oi C. C fN c c IN -ct* ec CO c S c c CO » q q X Kl CO o o 88 00 CI 88 OS •- c ^ c c ^ IN C O c c CO 5D q q CJ CO c q t« g§ 5i CO tH o o iCS »0 to Ir- O O O O si 00 c C r-" c c 8 = C O c 2 ,co r* q q » §5 CO ?3 o o o o Si o o 11 11 00 03 05 C c c C CI q q q q us o o gs 3-1 CO 8 8 CO -+ o o o o ^2 in -as C 3 II Jr- 00 11 00 o t- o> c q ^ §i 88 88 CO CO o o CO -t c o c o O O O O 88 »o so so t- i> 00 c o CO so c o 89 5 o o o o o o o O O 88 M CO 88 CO CO 8E 11 O O o o tt in 88 c o c; 5^ o o 8» fi i-H 8 8 88 (M CM o o o o o o MCO CO w 88 CO Tt* i:- 00 88 o o o o o o 83 o o ss 11 i§ o o o o ^ CI o o o o l-H N o o oq 11 o o q q « PN ^ M ^ IS "5" »• Q(D C 9 ^11 ., , INTEEEST TABLE. 221 C ^ CO iC iD ^ !--■-• >— w-l 1-1 rH C CO C CO g4 (n CO ivi CO C4 CO i.~- O «-H O C c4 CO CO so ;... OS CO U3 CO OT CD 1- C eo C M O r^ I-H f-H CO IO CO la CO wo i- -^ CO o. CO O* fs i. 5 g •= 1 ,§??& lllli c g £=> St" =-a-2 ll it !Siil liiil am 1 - 1-4 I.I !ii CM t- 00 CO -M C CO SO L-- CO L— c so CO CO w - cs O '—to CO i-j »o 1-^ S5 CO UD CO CO CO CO c -o O CO C 00 la* lO CO t— CC 51 00 5J COi> 00 OS « ^ o o »o i.-- C lO IO CI C CM O ^ 1— *o O'O IO i- (74 "«J« C3 a.5 CO iOl.-. C- w c c c »o CO* CO S3 lO iM ^ IO o c cc*i> c c ir^cc' C 4:- CO « l> CO •^ ^ lO o o i> ^ CO C CO CO OS CO OS .-3 i- tH c c © -* c c <^ C-4 C-l "^ CO CO CO to CO lO CO ^ CO r-; ci CO C 1^ C CO O CO CC CM »0 CO 1- QC CO t- CD i,-- CC t^ C CO 1- •* cc .-• JO :? -^ TP CO » CO riH -«d; lo »o o O -f J> CO J.-- CO t-i IO CO cs CO cs i_ 1-5 CO .0 »o -1 cs _3 O M 1- r-t CO CO I-H CO CO C-l CO -M CO I- M 'Tl C CO C 00 iO o co' -t CC -f eo ^ 1^' .o CC »o CO c X 00 IO CC C C O 1- 'C CO c »o o -o o oo CO CO rj- -«^ lO lO o o c o C A- c ^ J> 00 C CO O o CO o OS q C CO C 1-1 w CO C CO C CO ci oi c c c o c »o CO CO C 1- C CO C eo C CC C CC C 00 C S-1 CO CS J.- o » CS « CO .-- M CI CN CO CO -rji ^ C CO C CO »o lO CO — * 00 00 IO !0 1' CO c w O i.— J> 00 CO Oi CO 1- CO OS I-H I-H c J.-- O I-H IO OS 5i5i CO a CO CO CO CO CO CO S5 I-H CC C CO i> •-< CO OS c: CO -^ i-H CO 00 C4 :n cq CO CO CO C i:» c o CO Ol c o CO Tl o c JO O O Jr^ i> CO CD ,- CO i:- CO o CO IO CO iO C ?3 O CO C CO •ri 51* O i-< CO f-i Tl CO CO c »0 CC CO CC » CC O lO C CO O 51 w i> C CO irs O r-i f-1 CI (N CO «C r- W lO so Jr- 00 ~. CO C C =0 IH I-H 1-H CO CO C IO CO lO »o t* S3 I-H *-l CC Ci CO CO CO C-D m IO eoi> eo t- CC 51 Tf lo «5 t- r^ GO 5§ C t-t O CM w4 r-i — C iO 1-^ (M -^ CO IO c »o IO t- c c C lO CC CO C IO »0 51 -* iO 8g eoi:- J>GO o !■- CO -ri t- 00 "^2 ut O "5 r;; O CO CO OS O c CO OS OS C' l- -T^ C C C M CM -^ CC CO CO IO C-1 CO. c t- C CO CO 51 CO CM lO CD I>.X eoi- eo t- CO •* ^ S S ^ o -^ J> 00 o c CM o CO 0-. iO M cs O C CI C rH ^ I-H rH CO CO 51 CO i- 51 51 T. CO IO c CO Ti< CO -^ ^ lO CO CC IO CC c: 1ft C [- =: CO CO « -t rf iC >0 c r c c CO o o o o O -M 3: CO r o CO OS o; c c c c ^ C !•- C I-H 51 51 c ^ CO CO 85 lo a: CO 3; -M oi ei -M CO CO Tt< r}H c c: c c o c C CO lO IO 00 O) o c t^ CO lO t^ O 1- 'J:- CO c c c c CC i- 00 a c o C -^1 IO OS CM 51 CC CR CC 00 CO CO Jr- CC CM i> ^ r: CT) (M CM S>I CO CO OT C: C C C^ C D 33 I3 CO -M C ~ IO <0 CO 1^ oo O c r- CO CO CO CO »o 51 51 CO I-H 51 CO CC o; CO 00 CO CC. JO I- C TO O Oi .- I-H « C-I CI T) C c c c o c c rM~co co-b-^- C C C C CO C lO CO w "~c~co" -o o §3 C t- IO 'M IS lO i"- 51 51 C 51 IO c 51 51 CO J> CI 'M O o f- « C IO d CO CO eo C o o c CO !?S CO CO r-- 00 C 1~- CO CO CO o CD C: iO CO ir- 00 00 C C ■C CO C i-H C C C C CO C CI o o CO CD iO t- c c c c t- OS c"o CC C5 eo CO o o C 00 »0 IO c o 1 - 00 CC r- c o CC r- 2 9^ CS « lA T (ID e T ^ § o o s TABLE OP SIMPLE INTEREST, AT SEVEN PER CENT., g For each Day to a Month, from $1 to $100. ** INTEEEST. id 111 §11 •— *^ M II § 111 •;-=^ c £2 5 o o III , S 61.^ •< i "■« - C— bog "III H O a a X so •< A r-1 CO I i-« <— ■ Cs| >J « ■V Tf to »i^ « -■^t >- *(MWr-*»o»c D 1 l-Hr^(NC«Cs-*■o^o 1 -- — ■>! iM x :o ■* ic »;; GO 1 n-i-iMCMCOrtTh-^OO — W— h-'>>CCCOX-^ r- ^ .M 1 r-*— 'MlSICOCO'^f'^.r. M 1 oi-H.^c^sMwcO'<^'i(M«CO'*'^ -* vi 1 Sf-t^vMe^cort-^-^tocs-^xcox-Mh- — CO M 1 O^i-t3^5^C0?Q'«i''n''*«'CiM»iMiC— «rt=:"iMcocQ^'^x?f:i>--^ir:os'^X7-i 1 — ^■MiM(M?tMT*' "^ 1 O ^ — (N ri W « CO « '-* X M -J = -^ V -M yi r 'l 1 O r-i « J^ --■■1 M ?: W -r; -* K « CO V C- rH . ■'5 CO M -rt 3:' « -X^ » l>- 1 o■-'^r-':^:^^o4cocoto^- rcO-^ = «tce:co 1 ^•^«ri'^).COCO*-©OS(M'OX"-"nQO.O ■0 ■«# n O 3 ^- .— . 1— 1 — i'j 1?^ X iM O I'- 'i= ^J "^ ^- ~ "J^ O >j 00»-^^ — lMCv4?«i^»;^t-srs M-f'^X— cc ^ OOi— ii-H^H*^,— i>iCMr>4^WX— '^3"Ch-CS — 3 SOi-<— .^.-^^NMN-^OXO ■^M.ni-Ol 51 30 — ^^"^ ..vic'jco.rst^Osc'M-^'-er^ « OOS^'-'i-*-^'-'— C^^O^QOOS— "^l-^iO' - 1 OOO-^ — ^'^'^-^^rt'^u^l^OO c^ — ^co - 1 oooo — ^1-*-^ — '-'C^^«»r:esr'-QOO* c;^ fi 1 oooo =;-^-^-H^-^o4co-^J ^ iM ffJ M CO J. — — — N(M5>4«« — - — _ _ C^ *q M .ft W « l^ r- '«' J-- --• ■^ JO — •- ^ — m ^ ri .^. .-. -^4 .>:;.',... t^ o « t* O K t* « CO -^ — _ v^ >» 7M eo :f; Ji » ,— — — -SI C4 -M 5C I^ ^ -ri _ 94 (M 94 e>J •C Oi-«^ — f-.CMi?iMe^c0»O00— :*»'^cs — ■*!- :3 1 OOr-<^,-i.-^iM9^Cst94tOXO«iCr*0'Mir: » ^ . ^ /M (N 4 , i^O^^^ — — CM^lNTttX^^J^^^C ;2 1 ooO'-i«<--• = 3 «— 2 a) 4=- 3 4> jj » '"' ^ *^ oC O a ? 2 C 5 » B 2 3 1.2 u a > 2 P - 3> K S = -. ■? 3 -O S^ tag « 3 =-a pa J) -a a , _ _, TABf.Fl OF WAGES AT 13.00 to $25.00 PER MONTH OF 26 WORKING DAY'S, {§ to O p e TABLE OF "WAGES. ; * ,-,' ^ (m" M « Tji j ■«' « -^ ■-: lO '-c f- 2 « 04 X ■* - - .-o s: o — ^* -^ s ■-£ >» X -^ w — .-: a o ■- r- ?7 - O «& oo«.'rmr-«xcO'*'M5tfr-in'Mex»ceo--|Xco'^^':Kt--iO'?io * ^' ^' >i -m' CO -^ -v «■- «o » ^ r-* X ci 3; =i — o — N rj ?; M — tf: 5 o ic ^ I^ .'i r- M -T CO Si -q- 3 «o = -^ - - Sn i- co /. w cs ^ = ■^_ojcqxco-*-«fO«awt-'t-xcdc: oio 3 ^1;^ 1^ ?;? ^ ^ «■ o^oooeeo30oeoseo^«'ooo,00'r^^o r-i— (MCi tL rH .c Si « X T4 -J5 = ic ci « I-. — y= = ■* «_ cc »-. — o c o «» OT*-^tCCl?t;S3-TXrM'jC«t'.-«»CCaKS30'*XCM-JS ■^^r4oiNKMcO'^-*tf:»c«^x-^'i-^r-.xcocooieso EC «; o « t^ = T 1 -T X — tf: X — >.. X .•.^: oi i^i -^ o: ?? ■-£ O «— ' ^ — *>i -vi (>i -1^' fc M -I- -*~-r If; If: >/^ '-C — ^ ^- r^ i*" X X Oi t — Nl^^-:-^if^•c•£t^xxci■=^-'(^^n^:-;^eui^^^xQoos 00 cc © . -^ -* c- C K -= - ' • * r-I rn' ^' M 3S t-" r- t- X ^ (N'T, XOrt — X.-Tpy3CS>i»«('.C«»OXt-H«»0>--|'*l"-S to r-«Sjr:;u5X>iTrt*^'*i^-«:=0>i'CX^-Jr^---+p*r' ' ^ -4 — — N* N >* C^* CO rO M M N ■'iJ ■*' -* -^ « »n »0 U3 -i oic. i-r^--e.^-*Tj*rt!M«^osjcoxr^»T2j-;-^rtc2-H-'0 ^^ — w--(M-lM'MMN«C^«««eOM«-* r^ 3^ M ■* « t: X S: O -- -V rt ^ «S I-- JC CS O --^ so ■* *0 W t- X O ' 1—" — w —'—--'--' »-J -^ i?i '>? IN ei (N o* N N « Siva i-»i- 2.74 2.88 4 2.77 2.92 3.08 3.23 3.88 :.61 3.70 3.85 5 3. '16 3.65 3.^5 4.C4 4.24 4.42 4.62 4.81 6 4.1.5 4.38 4.62 4.85 5. OH 5.31 6.. 54 6,77 7 4.8-> 5.1i 6.38 5.65 5.92 6.19 6 46 6.73 8 5., 54 5.8J 6.16 6.46 6.76 7.08 7.38 7.69 9 6 2a 6.58 fi.9i 7.27 7.62 7.9i 8.3) 8.6) m 6.92 7.31 7.69 8.08 ■ 8.46 8.f5 9.24 9.63 u 7.6i 8.01 8.46 8.88 9.3) 9.7:! lO.KJ 10.. ■■8 12 8.31 8.77 9.23 9.69 10.16 10.62 11.08 11.64 13 9.00 9.50 10.00 10.50 11.00 11.. M) l.'.OU 12.50 u 9.()9 10.23 10.77 11.31 11.84 12 . 38 12. 9i 13.46 1.5 io.:-8 10.96 11.54 12.12 12.70 13.27 13.84 14.42 )6 11.08 U 69 12.31 12.92 13.54 14.15 11.74 15.38 17 11.77 12.42 13.(18 13.73 14.38 15. I^ 15.70 16.35 18 12.46 13.15 13.83 J4..54 15.24 15.92 l(i.62 17.31 19 l:i. 1.5 13. f8 14 (2 15.35 16.08 16.81 17.51 18.27 2il 13.85 14.62 1>.38 16.15 16.92 17.69 18.46 19.23 21 U.5t 15.35 in. 16 16.96 17.76 18.68 19.38 20.19 22 15.23 16.08 16.92 17.77 18. 6i 19.46 20.30 21.15 23 15.92 16.81 17.69 18.. 58 19.43 20.35 21.24 2i 11 24 16.62 17. 5t 18.46 19.38 2(1.30 il.23 22.16 2i.08 2.5 17.31 18.27 19.23 20.19 21.16 22 12 23.08 2t.04 20 18.00 19.00 20.00 21.0) 22.00 23 00 24.00 25.00 Explanation. — The column on the left hand of the tabh } shows the number of days : and the rate per month is seen at the top of the page. Example. — To find the amount of 19 days' work, at $11 per month : find 19 in the column of days ; then move to tlie right, on the same line, till you come under $11 (rate per month), and you find $8.04 — the answer. In all cases, the amount will' be found directly under the price per month, and at the right of the given time. , • ' In this table, the wages are cast at 26 working days per 10* r^ 226 TABLE OF AVAGES. month. For a fraction of a day, take an equal part of the amount for one da^', and for rates less than $3 per month, half what is shown for twice the amount. Should it be desired to ascertain the wages per day for any given sum per month above $25, it can be done by adding to or doubling the above, amounts. Thus for $30 per month, take 20 and 10 in the above table and add them ; for $37 per month, take 20 and 10 and 7, and add them ; for $50, take 25 and double it; for $75 per month, take 25 and triple it, &c. KEEPING ACCOUNTS. Blank account books, designed for keeping simple ledger accounts, are generally of two kinds, viz. : Those in -which the Dr. and Cr. sides of the account are on the same page, and those in which they are on opposite pages. We give below samples of each, with the mode of keeping the account. race 72 WILLIAM WILSON. Br. Cr. Jan. 12 211 ^5 7 Id 2.1 5 ■A 10 M. 7 To IS bus. pota'oeg. at flO cts $D no 8 OU 80 00 9 00 20 00 7 SO $ ■ * I ton hay. at $8 i( By cash on account . . .' 10 00 Feb. To 1 yoko steers Bold you this day t ( By 1!000 feet pine b'jaids, at $10. m 20 00 If To 3.) bus. oats, at Wi cts Mar. " 40 •* corn, at .50 cts April By 1 piir boots for S m 4 00 «< ' 60 lbs sugar at 8 cts . 4 00 May " 10 ' coifee at 1.5 cts 1 50 Juno To 3 cords wood at S2 50 liy c.H.-h on account 50 00 July 1 1 By balance of Lccount charged below To balance of account 44 00 \:vA f.o l.ilJ in) July 44 OH Papro 72. Wll. WILSON. D'. 18HI. Jan. 12 Feb. It Mar. Juno 21 20 To 18 bus. poatoes at 50 cts T.i I ton liay at %H To I yoke steers sold you this day . . . To 30 bus oats, at 3 » cts To 4') bus. corn, at 5Jcts To H cords wood, at $2 50 July 1 To balance of act. $0 on 8 UU 80 0( oc 20 00 7 .50 3-t U 4F00 WM WILPOX. Page 73. Cr. I8UL Jnn 2."> Feby 15 April 3 10 May 12 June 2-0 July 1 By cash on .iccou-nt By ^2000 feet pine boi^rds. at Slo M By 1 pair boots for Sam By 00 lbs. sugar, at Sets By 10 lbs. coffee, at 15 cts By e sh on account. By balance of acct charged $10 00 20 00 4 00 4 00 1 .50 .COOO _44 00 V6i~) 228 KEEPING ACCOUNTS. Form of a Bill of the foregoing. WILLIAM WILSON, Dr. 1861. In Account with THOMAS BUISTN", Cr. January 12, To 18 bus. potatoes, at 50 cts $9 00 " 20, " 1 ton liay, at $8 8 00 February 7, " 1 yoke steers 80 00 " 20, " 30 bus. oats, at 30 cts 9 00 March 5, " 40 bus. corn, at 50 cts 20 00 June 7, " 3 cords wood, at $2 50 7 50 1861 Cr. $133 50 January 25, By cash on account $10 00 Feb'y 15, " 2000 ft. lumber, at $10 M 20 00 April 3, " 1 pair boots for Sam 4 00 " 10, " 50 lbs. sugar, at 8 cts.... 4 00 May 12, " 10 lbs. coffee, at, 15 cts . . 150 June 20, " cash on account 50 00 89 50 July 1, To balance $44 00 Note. — Since the whole science of book-keeping rests upon charges and credits, if you, once for all, get what is a charge and what is a credit clearly fixed in your mind, and fully imderstand when you ought to charge and when you ought to credit, you will have little difficulty in keeping your accounts straight, simple, and satisfactory. When you let your neighbor, or he with whom you deal, have anything from you, it is a charge against him, and you must charge him with it on the debit side of the account; but whenever you receive anything from him, it is a credit, and you must credit him with it on the credit side of the KEEPING ACCOUNTS. 229 account. Thus you "charge" for what you give, and " credit " for what you receive. He with whom you deal does likewise — charging you with what he gives you, and crediting you with what he receives from you. Hence liis charges against you will correspond with your credits to him, and his credits to you will correspond with your charges against him. In like manner, should it be desired to keep an account with a certain field, or meadow, or cow, the name is entered at the top of the page and in the iiirtiex, just as an .in- dividual's, and what you give to it, the labor it costs you, &c., you charge to it, and what it yields you you credit to it. In this way a farmer can keep an account with each of his fields or altogether, with each of his cows or with the herd, with each of his pigs or altogether, with each of his sheep or with the whole flock, &c. The word " To " prefixed to an entry indicates a charge ox debit ; the word " By " indicates a credit. Each entry should be made on the day the transaction took place. The account should be cast and balanced at least, once every six months, and if not settled the balance brought down, as above, when the account may be continued. BOOK-KEEPING BY DOUBLE ENTRY. Book-keeping by douUe entry is that form of keeping accounts in which two entries are made in the Ledger for 230 KEEPING ACCOUNTS. every one in the Day-Book ; one a charge, or debit, and the other a credit. Thus you not only charge the party who receives from ypu, but you credit that department of your business from which, whatever it is, is received. You keep an account witli as many different departments of your business as you deem necessary. A farmer might keep an account with his lierd, with wheat, rye, corn, grass, hay, and other crops, or different iields, separately or toge- ther, imdcr the head of " Farm." Where the time required can 'be spared, we think it desirable to keep accounts by double entry with every department of a business, down to a very minute detail, because where books are kept \>y this system, you can turn to any account and ascertain at a glance its condition ; that is, how nnich money you have spent on it, and how much it has returned yon, and what balance is for or against it. The books necessavy to be used in keeping accounts by this system ai"e two, the Day-Book and Ledger. A third, called a Journal, is sometimes used intermediary between the Day-Book and Ledger ; but we consider it much more trouble than benefit, and therefore think best entirely to dispense with it. The Day-Book is ruled with two dollar and cent columns on the right hand side, and one column 6n the left hand side, in which the page of the Ledger is entered when the account is transferred to the Ledger. The Ledger is generally ruled, as in the example given below ; the name of the account is written across the top of KEEPING ACCOUNTS. 231 the page, and if the transactions will probably be numerous other pages following may be resijrved to continue the ac- count upon when the first page is full. , It is customary with a person keeping books by this me- thod to have an account with " Casli," with his family, and if he takes and gives notes, with " Bills Eeceivable," and " Bills Payable." We will give below a sample of transac- tions entered in the Day-Book and carried to the Ledger. If I sold, Octobeulst, to John Brown, twenty bushels of apples, at 75 cents .per bushel, and was to deliver them to him for '$1, and on October 5th, bought of him five barrels of flour, for family use, at $4 per barrel, which he was to deliver gratis, my entries in the Day-Book would be as follows, sup- posing I kept accounts with the departments mentioned : — f Ckntekvillb, Oct. 1st, 1861. JOHN nfiOVVN, JDt. Sold him 20 bus. apples, at 75 cts per bus. $15 00 Cartage 1 DO Cr. ORCHARD , TEAMING Oct. 5 : FAMILY EXPENSE. JJr Bought of John Brown 5 bbls flour, at $4 per bbl Cr. JOHN BROWN IG 20 00 CO 1500 100 20 00 Vr. Tlie Ledger accounts of the above wpuld be as follows : — Page 5. Cr. JOHN BROWN. IStii Octobei 1 l»6l IC 00 Oct. ] 20 00 232 KEEPING ACCOUNTS. Dr. TEAMING. Page 7. Ct. — — : l8til 1 ' — — ' Oct 6 1 1 00 Page 6. Vr. OECHARD. Cr. 1861. Oct. I 1 \h 00 Page 10. Dr. FAjaiLY EXPENSK. Or. 1^B1 1 Oct. 5 1 2( 00 ' In the Day-Bookj in the right hand dollar and cent' col- umn, the credits are entered ; in the left hand, the- debits, as shown. In the Ledger, the half of the page to the left of the centre is devoted to debits ; to the right, to credits. The column to the left of the dollar and cent column in the Ledger is where the page of the Day-Book from which the entry is taken is noted. The form which we have given above is, perhaps, the simplest in which books can be kept by double entry, conse- quently the best. No diflBculty will be experienced in this system of keeping books, after one has already fixed in his mind what is a charge or debit, and what is a credit, as ex- plained above. Some remarks may not, however, be unne- KEEPING ACCOUNTS. 233 cessary in this connection, to show what to credit and what to charge, under certain circumstances. If j-ou give a man a note for the balance of his account, you debit his account and credit Bills Payable. When you pay the note, you debit Bills Payable and credit Cash. If you receive a note for balance of accoimt, you credit the man's account and debit Bills Keceivable. "When the note is paid, you credit Bills Beceivable and debit Cash. In the first entry in the above example, it may be well to say, you do not give credit to the man who drives the wagon, or to the wagon for its use. These are legitimate charges against Teaming. At the proper time you credit the man his wages, and charge or debit Teaming for it (or that portion of his time in which he has been engaged teaming), &c. Some businesses require an Interest account to be kept ; of course, from our previous remarks, any one who finds it necessary will see the proper way to keep it. It is necessary, in connection with the Day-Book and Ledger, to keep a Cash-Book and Bill-Books, where a person does a credit business. The Cash-Book, to keep a record of the receipts and disbursements of cash, which should be balanced every night (if any cash has been spent or receiv- ed during the day), and the money counted ; the balance on hand and the balance shown by the book should correspond ; if they do not, something has been omitted. If you have on hand riiore than the balance calls for, you have received money which has not been entered on the debit side of the 234 ' ■ KEEPING ACCOUNTS. account. If you have too little, you have spent money for which the account has not been credited. The Bill-Books are to keep a record of notes .received and notes paid out. The Bills Payable book records the follow- ing facts : The date of the note, the time it is to run, the date of falling due, to whom it was given, in whose favor it was made, and the amount it was made for. The Bills Receivable book records: Who made the note, in whose favor it was made, how long it has to run, when it is due, and the amount it is for. When. notes are paid or received, these facts should, of course, be properly noted in the Day- Book. When accounts are first opened it is best to take an in- ventory of property of all kinds on hand, charging each department with which you intend to keep an account with that portion which it requires, and crediting an account for the same which shall represent all your " Stock in Trade." This account is usually called " Stock." Then, at the time you wish to close up your accounts to ascertain your profits and losses, you take another inventory, and give your de- partmental accounts credit for what property they have on hand, charging the general stock account for the same ; the balance of this account {i. e., the difference between the footing of the debit and credit columns) then shows how much more or less property you have on hand than when you commenced business. If the credit side exceeds the debit, of course you have more property ; and if the debit KEEPING ACCOITNTS. 235 exceeds the credit, of course you have less than when you began. Then the balance of each departmental account (all proper charges having been entered, and its share of prop- ^erty on hand credited) will show how much it has made or lost. These balances are then usually carried to a general ' account, called " Profit and Loss ; " those having a credit balance are charged that amount, and Profit and Loss is credited ; and those having a debit balance are credited that amount, and Profit and Loss is charged for it. This being done with the Departmental accounts and the General Stock accounts, with the Cash accounts, and the Bills Payable and Bills Keceivable accounts, and Profit and Loss having been also charged for bad debts — and the parties owing them having been credited therefor — the balance of that aeciount shows the Profit and Loss of the business. Some parties do not credit the accounts of persons who owe bad debts, and charge Profit and Loss ; but, after making up the Profit and Loss account, draw it oft' on a sheet of paper, and !iccount for them there. Others open an account called " Suspense," to which they credit the amount of the several bad debts (specifying them in the Day-Book), and charge Profit and Loss. This method prevents the accounts of bad debtora \ appearing clos,ed on your Ledger. After you have made up your books as directed, it is best to make a balance sheet, which will show at a glance what departments have made money, what lost, w^ho owes you, and who you owe. After this, the several departments should be charged back again 236 KEEPING ACCOUNTS. with the property with which they are to commence the next year's business, and the stock account credited therefor, and you are ready to begin again. Trial balances of the Ledger should be made, say monthly. To' make a trial balance, you foot up all the columns of fiwures in j'our Ledger, draw ofl" the debits on one side of a sheet and add them together, and the credits on the other side of the sheet and add them together. If the footings of the debit and credit columns thus obtained are the same, or, in other words, balance, your Ledger balances and is all right ; but if they do not balance but differ, your Ledger is iu' eiTor, and you must go over it and find where the mistake is. i Of course there must be no entry made in your Ledger, unless it is also made in your Day-Book. The wording of the Day-Book must be as simple as possible and express all the facts. Some book-keepers, when they enter from the Day-Book into the Ledger, write in the Ledger between the date col- ixmn and the column of the Day-Book page the name of the account in the Ledger which receives the corresponding entry or entries ; thus, in the entry above given they would write thus :^ Dr. JOHN BROWN. Page 5. Cr. 1861 Oct. To Orchard, , '■ Teaming, . 15,00 I'oOi 1861. Oct. 5 By Family Expenses 20 00 KEEPING ACCOUNTS. 237 This we think of no advantage, and it increases' the labor and trouble. "When you render a bill from the account, you must necessarily turn to the Day-Book to ascertain the particulars, and the mere page of the Day-Book is sufficient for this purpose. The less accounts are complicated the easier they are kept, and the less liable are mistakes to be made. No erasures, scratching out, or interlineations should be suffered. If a wrong entry be made, or an entry made wrongly, let it be explained by a counter entry on the other side of the account, or overscored in such a manner that the mistake can be seen. All erasures, blotting out, scratch- ing, &c., tend to throw suspicion upon the honesty of the account. Books of "Original Entries" are only an aid of the memory, and he who keeps them should be able to swear that the entries were made on the day they purport to have been. He may not be able to recollect the various entries, but if it was liis invariable custom to make them on the day of the transaction, they stand in place of his memory — they arc not, however, evidence of the delivery of the goods. Form of a Heceipt in full. New Toek, July 1st, 1861. Eeceived of Thomas Brown the sum of forty-four dollars, in full of all accounts up to this date. $44 00. "William "Wilson. 238 KEEPING ACCOUNTS. Form of a Check. $150 00. New Yoke, July 1st, 1861. Please pay "William "Wilson, or order, one hundred and fifty dollars, and charge to the account of Thomas Andekson. To the Southold Savings Bank. Form of a Due-Bill. New Yoek, July 1st, 1861. Dae "William "Wilson, or order, on settlement this day, one hundred and fifty dollars. $150 00. Thomas Anderson. Form of a Promissory Note. New Yoek, July 1st, 1861. Four months after date I promise to pay "William AVilson, or order, one hundred and fifty dollars ; value received. $150 00. " Thomas Andekson. Another form. New Yoek, July 1st, 1861. On the 1st day of April next, I promise to pay "William "Wil- son, or order, one hundred and fifty dollars ; value received. $150 00. Thomas Anderson. Form of a Promissory Note with Surety. New Yoek, July 1st, 1861. Sixty days after date, we, or either of us, promise to pay "William "Wilson, or order, one hundred and fifty dollars | value received. Thomas Anderson, (Principal.) $150 00. John Jones, (Surety.) KEEPING ACCOUNTS. 239 Form of a Draft or BUI of Exchange. $150 00. Buffalo, July 1st, 1861, Ten days after sight, pay William Wilson, or order, one hundred and fifty dollars, value received, and charge the same to account of Yours, &c., Thomas Andeeson. To William Allen, New York. Notes. — A due-bill bears interest from its date ; a prom- issory note not until after it is due, unless so expressed on its face. Negotiability. — The words, " or order," " or bearer," are necessary to make a check, a due-bill, a promissory note, a bill of exchange, &c., negotiable; that is, to enable the holder of it to trade and pass it to another. When the words " or bearer" are introduced, the instru- ment may then pass from hand to hand, like a bank-bill, without endorsement ; but when tlie words " or order " are used, the instrument must be endorsed by the original holder of it. Endorsement. — ^Endorsing a note is writing your name across the back of it. Endorsements are of two kinds, an endorsement in blank or general endorsement, and a special endorsement. An endorsement in hlanh is the original holder's simply writing his name across the back of it. The succeeding holders of it may or may not, also, endorse it. If each or 24:0 KEEPING ACCOUNTS. any of them do, they also become severally bound for Its paj'ment. A special endorsement is made by writing across the back of it, before endorsing it, the words, " Pay to the order of [name of party to whom it is passed]," which limits the payment of it to that party, or his orders, and so forth. Acceptance. — When a draft or bill of exchange is made upon a third party (as in the above form), the latter is not in any way bound by it until he accepts it, which he does when it is presented to him for acceptance, by writing across tlie face of it the word " accepted,^'' with the date, and sign- ing Iiis name thereunder. He i% then a party to the bill, and bound for its payment at maturity. Protest. — ^Protest is the notice required by law to be given to the endorsers of promissory notes, and the makers and endorsers of bills of exchange, of their dishonor, that is, of their non-acceptance or non-payment. If the drawee, or person to whom a bill of exchange is directed, I'efuses to accept it on presentation, notice must be immediately given to the maker of it. If he accepts it, and afterwards fails to pay it at maturity, notice must immediately be given to the maker. If the maker of a promissory note fails to pay it at ma- turity, notice must immediately be giveii to all the en- dorsers. A check is a draft at sight, and if not paid, must be protested. KEEPING ACCOUNTS. 2il it is a general rule that all guarantors of commercial pa- per must be immediately notified of its- dishonor. It is, of course, j}ot necessary to protest a due-bill, or a promissory note, which is still held by the person to whom it was originally given. "When a note is made payable " on demand," it is neces- sary to make a demand before it will bear interest or can be sued for. U. S. BONDS. Interest is calculated on TJ. S. bonds and on the public debt at 365 days to tlie yea-', and is due semi-annually. In England interest is calculated in the same way, and the legal rate is 5 per cent. By Five-Twenties is meant the 6 per cent, gold-bearing bonds of the United States, which are to mature in 20 years, but wliich the Government, by giving due notice, can pay in gold any time after five years from the date of issue. Tlie old five-twenties were the first issued. Tliey bear date May 1, 18G2, and are redeemable after May 1, 1867, and payable May 1, 1882. The new " five-tWenties " were issued Nov. 1, 1864, July 1, 1865, and Nov. 1, 1865. By Ten-Forties is meant the 5 per cent, gold-bearing bonds which are to mature in 40 years, but which may be paid by the Government at any time after 10 years. By Seven-Tliirties is meant a currency loan, which ma- tures in 3 years, at whicli time they may be changed for the fioe-tioenty 1 per cent, bonds, bearing interest in gold. The name is derived from the rate of interest, it being 7.3 per cent. The "First series" bear date Aug. 15,1864. The " Second series " bear date June 15, 1865, and are converti- ble June 15, 1868. The " Third series " bear date July 5, 1865. Oh this issue the Government reserves the right to RELATIVE VALUE OF GOLD AND CDEEENCT. 243 pay the interest at 6 per cent, in gold, instead of 7.30 per cent, in currency. By Six per cents, of '81 is meant the 6 per cent, gold- bearing bonds which cannot be redeemed by Government, except by purchase, until after maturity. KELATIVE VALUE OF GOLD AND CUEEENCY. To ascertain the value in gold of a " greenback " dollar or National currency, at the different quotations of gold : EuLE. — Divide $1 by the quoted value of $1 in gold; the result will be the value of a dollar in currency. Example. — When gold is 33 per cent, premium what is tlie value of $1 in currency ? $1.00-7-$1.33=.7522. Note. — In the following table the decimals are carried to mills and tenths of a mill. Table, showing the greenback value of $1 at the different quotations of gold. Wlien gold is at .01 pr. ct. prem. a greenback dollar is worth. .99 .02 9803 .03 9708 .04 9615 .05 9523 .00 9433 .07 9355 .08 9259 .09 9174 .10 909 .11 9009 .12 pr. ct. prem. a greenback dollar is worth . . .8929 .13 885 .14 8771 .15 8695 .16 862 .17 8564 .18 8474 .19 8403 .20 8333 .21 8264 .22 8279 244 ENGLISH BONDS AND CONSOLS. .23 pr. ct. prem. a greenback .37 pr. ct. prem. a greenback dollar is worth. .813 dollar is worth. . .7308 .24 8064 .38 7246 .25 80 .39 7194 .26 7928 .40 7142 .27 7874 .41 7092 .28 .7812 .42.... 7042 .29 7751 .43 : 6993 .30 7692 .44 6944 .31 7633 .45 6896 .32 7575 .46 6849 .33 7522 .47 2162 .34 7462 .48 6758 .35 7409 .49 6716 .36 7353 .50 6666 'Stock Exchange during the war was 285, July lltli, 1864. A dollar currency was then worth 35 cents. Gold in Eich- mond, Va., reached 4400, Feb. 4th, 1865. A dollar in Con- EKGLISH BONDS AND CONSOLS. Exchequer Bills are English bonds, similar to those of the U. S. The rates of interest vary from 5 to 3 per cent., and quired to refund the principal. Consols are several English securities consolidated by act The Stock Exchange is an association for the purpose of buying and selling stocks. STOCK QUOTATIONS, 245 A Broker is a person who executes o^ers for those who are not members of the exchange. A Jobber deals in stock on his own account. A " stag," or " outsider," is a broker who is not a member of the ex- change. A Bull is one who buys stock to be delivered to him at a future time, with the intention of selling it, in the mean- time, at a higher price before he is obliged to receive it. A Bear is one who sells stock that he does not own, to be delivered at a future date, hoping in the meantime to buy it at a less price. A "lame duck " is one who is unable to fullil his contracts, and hence is expelled from the exchange. " Selling Short " is applied to sales of stock which the seller does not own, deliverable at a future time, generally not exceeding 60 days. The hears usually "sell short." The buyer pays interest for over 3 days. " Seller's Option" gives the seller the privilege of deliv- ering the stock at any time before the time specified for de- livery. " Buyer's Option " gives the purchaser the privilege of claiming the delivery of the stock at any time before the time specified for delivery. STOCK QUOTATIONS. Frcm y. T. Herald. Sales, 12000 Am. G "U&H $13000 gold at 43X per cent premimn. 12000 U. S. 6's. 'SI cou 112K -I '^.^cm ^V^iSfJ "^^ T"™ '"'"''' °"*°^ I mg 1881, at Vt% per cent, premium. 10000 U. S. B-20 Keg. '63 104;f V. S. 6-20 Beg^atered Bonds isued in 1862. 2i& SIICCESS IN BUSINESS. 40000 Tr'y. N. ,7-30 2d b 107 -i 'f"^™'? notes at 7.3 per cent, interest, seo- ' "■ ( ond series. ( 100 Shares of New York Central EB. 7 per 100 N. Y. Cen. Ts, '65-'76 120 i cent, bonds issued in 1865, and maturing in ( 1876. 500 Hud. E. TTs 1st M 101 Hudson E. 7 per cent, first mortgage bonds. 200 " ■" 2d M S F 104 .! Hudson E. 7 per cent, second mortgage sint- 1 ing fund. , 1001!. EE. 2.d'6 513^ J Erie EE. sold at 2 days' credit at 51% cents 100 " ib 5 w n Bl i ^™ ^^- *" ^' delivered before 6 days with- " ( out notice. 1000 C. and Am. .6's, '89 108Jractical value, we must either shorten the short armi, or lengthen the long arm of the lever, add to the power, or deduct from the weight, to such an extent as each may judge for himself expedient under' the circumstances. 282 THE MECHANICAL POWEES. THE INCLINED PLANE. To find the power or force required to raise a given weight up cm inclined plane of a given length and height. EtJLE. — As the length of the plane is to its height, so is the weight to the power. Example. — Required the power necessary to raise 1500 lbs. up an inclined plane 20 feet long and 8 feet high ? Solution.— As 20 : 8 : : 1500 : 600 lbs. Ans. To find the height of an inclined plane wlien its length and hose are given. EuLE.— Subtract the square of the base from the square of the length, and the square root of the remainder is the height. Example. — Given an inclined plane, the length of which is 40 feet and base 38 : required, its height ? SpLirriON. — 1600, square of length, — 1444, square of base, = |/ 156 = 12.49 feet. Ans. To find the length when its hdse and height are given. THE MECHANICAL POWERS. 283 KuLE. — ^Add the squares of the height and the base, and tlie square root of their sum will be the length. , Example. — ^What is the length of an inclined plane the base of which is 20 feet and its height 12 ? Solution. — 400, square of base^ + 144, square of height, = V 644 = 23.32 feet. Ans. To find t/ie base when the length cmd height are given. EiTLE. — Subtract the square of the height from the square of the length, and the square root of the remainder will be the base. Example.— What is the base of an inclined plane, whose height is 10 feet, and length 25 ? Solution. — 625, square of length, ^100, square of height, = y' 525 = 22.91 feet. Ans. To find t/ie pressure of a weight on an inclined plane when raised hy its equivalent power. Rule. — As the length is to the weight, so is the base to the pressure. . Example. — What is the pressure of 1000 lbs. on an in- clined plane, the length of which is 80 feet and the base 70 ? < Solution. — 80 feet, length, : 1000 lbs., :: 70 feet, base, : 875 lbs. Ans. Notes. — When the line of direction of the power is par-; allel to the plane, the power is least and the pressure least. . 284 TH^ MECHANICAL POWEES. When the power does not run parallel to the plane, di'aw a line perpendicular to the direction of the power's action from the end of the base line (at the back of the plane), and the intersection of this line on the length will determine the length and height of the base. THE WHEEL AND THE AXLE. The power multiplied by the radius of the wheel is equal to the weight multiplied by the radius of tlie axle. As the radius of the wheel, is to the radius of the axle, so is the effect to the power. To find ike weight a ffiven tractile- force or power will move on a wheel and axle of given radii. EuLE. — Multiply the tractile or drawing force by the radius of the wheel, and divide the product by the radius of the axle. ExAJttPLE.^What weight will a tractile force of 250 lbs. draw on a wheel (or wheels) of a radius of 3 feet : radius of axle 4 inches ? Solution. — 250 lbs., tractile force, x 36 incbes, radius of wheel, = 90004-4: inches, radius of axle, = 2250 lbs. Ana. To find the tractile force required to move a given weight on a wheel and axle of given radii. THE MECHANICAL POWEKS. . 285 EuLE. — ^Multiply the weight by the radius of the axle and divide the product by the radius of the wheel. Example. — ^Eequired, the tractile force necessary to draw 2000 lbs. on a wheel of 2^ feet radius, and axle of 3 inches radius ? Solution. — 2000 lbs., weight, x 3 inches, radius of axle, = 6000 -i- 30 inches, radius of wheel, = 200 lbs. Ans. To find the radius required for a wJieel to move a given weight hy a gimen force on a given radius of axle. KuLE. — Multiply the weight by the radius of the axle and divide the prod act by the force. Example. — What radius must a ^ wheel have, the radius of whose axle is 4 inches, to move a weight of 1320 lbs. by a force of 220 lbs ? SoLUTioN.^1320 lbs., weight, x 4 inches, radius of axle, = 5280 -f-220 lbs., tractile force, = 24 inches. Ans. To find the radius of an axle required to move a given weight iy a given force, on a wheel of a given radius. Rule. — Multiply the force by the radius of the wheel and divide the product by the weight. Example. — ^A weight of 1200 lbs. is to be moved on a wheel of 4 feet radius by a force of 150 lbs. : What must be the radius of the axle ? Solution. — 1501bs.,ibrce, x 48 inches, radius of wheel, = 7200 -H 1200 lbs. = 6 inches. Ans. 286 THE MECHANICAL POWEES. Note. — It will be observed that, according to the above rules, illustrated by the foregoing examples, the power or force of traction and the weight or load are equivalents ; that is to say, the one is, by the interposition of the wheel and axle, made to counterpoise the other. To find their easy practiced vaZue, deduct ^ from the weight, or add ^ to the tractile force. THE WEDGE. f- ' n Tojmd the force necessary to separate two bodies from one another in a direction parallel to the back of the wedge. Rule. — As the length of the wedge is to half its back, so is the resistance to the force. Example. — The length of the back of a double wedge is 6 inches, and its length through the middle 12 inches. Re- quired, the force necessary to separate a substance having a ■ resistance of 200 lbs. ? THE MECHANICAL POWERS. 287 Solution.— 12 inches, length, : 3 inches, back, : : 200 lbs., resistance, : 50 lbs. Ans. To find the requisite force when only one of the todies is movable. KuLE. — As the length of the wedge is to its back, so is the resistance to the force. Example. — What power applied to the back of a wedge will raise a weight of 20,000 lbs.; the wedge being 6 inches deep and 100 long on its base ? Solution. — 100 inches, length, : 6 inches, depth, :: 20,- ' 000 lbs., weight, : 1200 lbs. Ans. Note. — The power of the wedge increases as its length increases, or as the thickness of its back decreases. 288 THE MECHANICAL POWEES. THE SCREW, The screw is a revolving inclined plane, or an inclined plane wound round a cylinder. Hence, when its length and its pitch, or height, are ascertained, the same rules that govern the inclined plane apply to the screw. To find the length of the inclined plane of a screw. -Rule. — Add the square of the circumference of the screw to the square of the pitch, or distance between the threads, and take the square root of the same, which will be the length of the plane. The lieight is the distance between the consecutive threads. THE MECHANICAL POWERS. 289 Example, — ^What is the length of the inclined 'plane of a screw of 12 inches circumference and 1 inch pitch? Solution.— 12' + 1'= 145 and |/ 145=12.04159 inches. Ans. Note. — It will be observed that the length of the plane as given in the above example is the length of only one turning of the screw, or the length of once round the circumference, which, in ascertaining the power of a screw, is all that is necessary to be known of the length. The entire length of the plane and the entire height of the screw have nothing to do with its power. A single section, comprising one revolution of the plane or the cylinder, is enough. To find the povjer required to raise a given weight hy means of a screw of given dimensions. EiJLE. — As the length of the inclined plane is to the pitch, or height of it, so is the weight to the power. Example. — What is the power i-equisite to raise 9000 lbs. by a screw 15 inclies circumference, and 1^ inches pitch ? Solution.— 15' + l^'=227i and y 22'fi=15.62 inches, length, then 15.62 inches, length, : 1^ inches, pitch, : : 9000 lbs., weight, : 864.27 lbs. . Ans. Note. — When a wheel or capstan is applied to turn the screw, the length of the lever is the radius of the circle described by the handle of the wheel or capstan bar, and half the diameter of the screw is the radius of the axle. When the screw is turned by a wheel, a crank, or capstan, 13 290 THE MECHANICAL P0WEE8. find the power of the wheel, crank, or capstan by naeans of the rules given under " The "Wheel and the Axle," and de duct the force thus acquired from the force necessary to drive the screw in raising the weight alone. The remainder is the force required to raise the weight by the combined power of the screw and the lever. THE PULLEY. When only one cord or rope is used. To jmd the force necessary to raise a given weight hy means of a pulley of a given number of sheaves, <&c. RtJLE. — Divide the weight to be raised by the number of parts of the rope engaged in supporting the lower or mov- able block. THE MECHANICAL POWERS. 291 Example. — What is the force required to raise 600 lbs. by means of a lower block containing six sheaves : rope fastened to the upper block ? - Solution.— 2x6=12; then, 600-r-12=50 lbs. Ans. Example 2d. — "What force when the rope is fastened to the lower block ? Solution.— 6x2 + 1=13; then 600-M3=46.16 lbs. Ans. When more than one rope is used. In a Spanish JBurton, where there are two ropes, two movable pulleys, and one fixed and one stationary pulley, with the ends of one rope fastened to the support and upper movable pulley, and the ends of oe other fastened to the lower block and the power, the weight is to the power as 6 to 1. In one where the ends of one rope are fastened to the support and the pOwer, and the ends of the other to the lower and upper blocks^ the weight is to the power as 4 to 1. DEFINITIONS OF MATHEMATICAL FOEMS. Fig. 1. -B Parallel Lines are everywhere equally distant ; a;s, A B and C D. An Angle is the difference of direc- tion between two lines which meet ; as, A D E. The point of meeting is called the vertex of the angle, and when the angle is named the letter at the vertex is placed second ; as, C D E. A Right Angle is formed when a straight line meeting another rhakes two equal angles ; as, A D C and C D B. An Acute Angle is one less than a right angle ; as, E B D, Fig. 3. An Ohtuse Angle* is one greater ° than a right angle ; as, A D E, Fig. 4. A Surface has two dimensions^length and breadth. A Triangle is a figure having three sides ; as, A B C, Fig. 3. E D V B Fig. 4. I! Fig. 5. Fro. 5. The Altitude of a triangle is the per- pendicular distance of the vertex from the line of the base; as, B C is the altitude of the triangle ABC, Fig. 5. A Right- Angle Triangle is a triangle having a right angle ; * As the right angle contains 90°, it follows that the acute angle contains less, and the obtuse angle more, than 90°. DEFINITIONS OF MATHEMATICAL FOEMS. 293 Fra. 6. □ Flo. CI Fig. 8. A iR 1" as, A B, Fig. 5. The side opposite the right angle is called the hypothenuse ; as, A B. A Parallelogram is a four-sided fig- ure whose opposite sides are parallel; as, Fig. 6. A Rectangle is a parallelogram whose angles are right angles; as, Fig. 7. A Square is a rectangle the sides of which are equal. Fig. 8. A Trapezoid is a four-sided figure having but two of its sides parallel ; as, A B C D, Fig. 9. The Altitude of a Parallelogram, a Kectangle, a Square or a Trapezoid is the perpendicular distance between the base and the line of the parallel side opposite the base ; as, E F, Fig. 9. A Circle is a plane surface bounded by a line, every point of which is equally distant from a point called the centre ; as, A B C D, Fig. 10. The Circumference of a circle is the line by which it is bounded ; as, A BC D, Fig. 10. Tlie Diameter of a circle is a straight line passing through the centre and terminating in the circumference ; as, D E B, Fig. 10. The Radius of a circle is the distance from the centre to tliG circumference ; as, E F. Fig. 9. 294 DEFINITIONS OF MATHEMATICAL FOEMS. Fio. 18. Fie. 13. Fie. 14. Fie. 15. Fio. iL j^ Solid has three dimensions — ^length, breadth, and thickness ; as, Fig. 11. A Prism is a solid whose sides are paral- lelograms, and whose ends are equal and similar ; as, Fig. 12. "When the ends of a prism are triangular, it is called a triangular prism ; as, Fig. 12. When the. ends of a prism are square, it is called a square prisrn • as. Fig. 13. "When the ends of a prism are hexagonal, it is called a hexagonal prism ; as. Fig. 14. "When the ends of a prism are circular, it is called a cylinder ;^ as, Fig. 15. When all the sides of a rectangular prism are square, it is called a ciibe ; as, Fig. 16. A Pyramid is a solid, the base of which is a plane rectilinear figure, and having sides which are triangles whose vertices meet at a point at the top called the vertex of the pyramid. Fig. 17. The Altihide of a pyramid or a cone is the perpendicular distance from the vertex to the plane of the base ; as. Fig. 17. A Cone is a solid, the base of which is a circle, and which tapers uniformly to a point at the top called a vertex. Fig. 18. • A cylinder is a regular polygon, or prism, with an infinite number of sides. Fig. 16. Fig. 17. Fig. 18. DEFINITIONS OF MATHEMATICAL FORMS. 295 A Frustum of a pyramid or a cone is the part that remains after cutting off the top by a plane parallel to the base. Fig. 19 represents the frustum of a pyramid. Fig. 20 represents the frustum of a cone. An Ellvpse is a plane curve such that the sums of the distances of any points in the bounding line from two points within called the foci are always equal. The line A B passing through the foci is called the major diameter ; and the diame- ^l ter perpendicular to A B at its centre is called the minor diameter. A Sphere is a solid, bounded by a convex sur- face, every point of which is equally distant from a point within called the centre ; as. Fig. 22. A Spheroid is a solid, generated by the revo- lution of an ellipse about one of its diameters. If the ellipse revolves about its major diameter the spheroid is called ^roZa^e. If about its mi- nor diameter the spheroid is called oblate. Fig. 23 roi^resents Si prolate spheroid. Fig. 24 represents an oblate spheroid. FlO. 19 / Fis. SO. Fig. 21. — B Fie. 33. '^^^. .^^(^- ko(^^ CIECLES. To find the circumference of a circle. Rule 1. — Multiply the diameter by 3.1416, and the pro- duct will be the circumference. E0LE 2. — Or, as 7 is to 22 so is the diameter to the cir- cumference. Example. — What is the circumference of a circle whose diameter is 25 ? Solution.— 25x3.1416=78.54:. Atis. By Eule 2.-7: 22::25 : 78.5. J.ws. To find the diameter of a circle. Eule 1. — Divide the circumference by 3.1416, and the quotient will be the diameter. Eule 2. — Or, as 22 is to 7, so is the circumference to the diameter. Example. — "What is the diameter of a circle whose cir- cumference is 69.11 ? Solution.— 69.11^3.1416=22. A-ns. By Eule 2.-22 : 7:: 69.11 : 22. Ans. To find the area of a circle. Eule 1. — Multiply the square of the diameter by .7854, or the square of the- circumference by .07958, and the pro- duct will be the area. CIRCLES. 297 EuLE 2.— Or, multiply half the circumference by half the diameter. EuLE 3. — Or, as 14 is to 11, so is the square of the diam- eter to the area. EuLe 4. — Or, as 88 is to 7, so is the square of the circum- ference to the area. To find the side of an equal square containing the same area as a given circle. EuLE. — Take the square root of the area, which will be the side of the equal square. To find the solidity of a sphere. Edle. — Multiply the cube of the diameter by .5236, and the product is the solidity. EXPLANATION AND TTSE OF THE FOLLOWING TABLE. In the left hand column will be found the diameter of the circle ; in tlie next column to the right will be found its corresponding circumference ; in the third to the riglit will be found the area, and in the right hand column will be found tlie length of the side of an equal square containing the same area. Example. — What is the side of a square having the same area as a circle of 64J inches diameter ? Solution. — Find 64| in the left-hand column, and oppo- site it to the right, under the heading " Side of Equal Square," will be found 57.101, the length of the side. Ans. 13* 298 CIRCLES, Table, sJwwmg the Areas of Circles and the Sides oftlieii equivalent Squares, from 1 to 100. Slam Ctrcum. .3921) Ares. .01227 .7854 .04908 1.570 .1963 2.35C .4417 3.141 .7854 3.927 l.a27 4.712 1.767 5.497 2.404 G.283 3.141 7.068 3.976 7.8.'>4 4.908 8.639 5.939 9.424 7.068 10.21 8.295 10.99 9.621 11.78 11.044 12.56 12.666 13.35 14.186 14.13 15.904 14.91 17.720 15.70 19.635 18.49 21.647 17.27 23.768 18.0fi 25.967 18.84 28.274 19.63 30.679 20.42 33.183 21.20 35.784 21.99 38.484 22.77 41.282 ■23.56 44.178 24.34 47.173 25.13 50.265 25.91 53.456 26.70 56.745 27.48 60.131 28.27 63.617 :!9.05 67.200 29.84 70.882 30.63 74.662 31.41 78.539 3.'. 20 82.516 32.98 86.590 33.77 90.762 34.55 95.033 85.34 99.402 36.12 103.86 Side nt' equal square, .110 .221 .443 .663 .886 1.107 1.329 1.550 lr772 1.994 2.215 2.437 2.658 2.8fcO 3.101 3.323 3.544 3.766 8.9J-8 4.2IJ9 4.431 4.652 4.h74 6.095 5.317 6..'>38 5.760 5.98^ 6.203 6.425 6.6)6 6.868 7.089 7.311 7.532 7.7.M 7.976 8.197 8.419 8.640 8.862 9.083 9.305 9.526 9.748 9.970 10.191 llj 12 n\ ^H 12* 13 13i 13* nf 14 Hi 14| 15 15J 15^ J5J 16 16J 164 16| 17 17i I'f 18 18J m 19 \H u\ i9i 20 2ui ■U)\ 20* 21 2li 24 U 22J 22| 23 23J Circum. 36.91 37.69 38.48 39.27 40.05 40.84 41.62 42.41 43.19 43.98 44.76 45.55 46.33 47.12 47.90 48.69 49.48 50.26 61.(15 51.83 52 61 53.40 54.19 54.97 55.76 56.54 57.33 68.11 58.90 59.69 60.47 61.26 62.04 62.83 63.61 64.40 65.18 65.97 66.75 67.54 68.32 69.11 69.90 70.68 71.47 72.25 73.04 Area. 108.43 113.09 117.85 122.71 127.67 132.73 137.88 143.13 148.48 153.93 159.48 165.13 170.87 176.71 182.65 188.69 194.82 201 U6 207.39 213.82 220.35 226.98 233.70 240.52 247.45 254.46 261.58 268.80 276.11 283.52 291.03 298.64 306.35 314.16 322.06 330.06 338.16 346.36 354.65 363.05 371.64 380.13 388.82 397.60 406.49 416.47 424.55 Side of equal square. 10.413 10.634 10.856 11.(177 11.299 "11.520 11.742 11.9r>4 12.185 12.407 12.628 12.850 13.071 13.293 13 514 13.736 13 958 14.179 14.401 14.622 14.844 15.065 15.287 15 508 15.730 15.952 16.173 16.395 16.616 ]6.i-38 17.053 17.281 17.502 17.724 17.946 18.167 18.389 18.610 18.832 19.053 19.275 19.496 19.718 19.940 20.161 21.383 20.604 CIECLE8. 269 Side of Side of Dlam. 23i 23} Clrcum. Area. equal square. DIam. Clrcum. Area. equal sqiinrs 73.82 433.73 20.826 36 113. 1017.8 si.roi 74.61 443.01 21.047 36} 113.8 1032.0 32.125 24 75.39 452.39 21.269 3fi| 114.6 1046.3 33.347 24i 76.18 461.86 21.491 36| 115.4 1060.7 32.568 21 24 76.96 ^71.43 21.712 37 116.2 1075.2 32.790 77.75 481.10 21.934 37} 117. 10^9.7 33.011 25 78.54 490.87 22.155 371 117.8 1104.4 3S.233 25J 79.32 600.74 22.377 37* 118.6 1119.2 33.455 ZSi feO.ll) 610.70 22.598 38 119.3 1134.1 33.676 2fl| 81.89 620.77 22.820 38} 120.1 1149.0 33.898 26 81.68 630.93 23.041 38| 120.9 1164.1 34.119 26} 82.46 641.18 28.263 381 121.7 1179.3 84.341 2Gi 83.25 651.54 23.485 39 122.5 1194.5 34.562 264 84.03 662.00 23.706 39} 123.3 1209.9 34.784 27 84.82 572.55 23.928 3!) 124. 1226.4 35.005 27i, 85.60 68.3.20 24.149 39 124.8 1240.9 35.227 27J 86.39 593.95 24..H71 40 125.6 12.56.6 35.449 V7i 87.17 604.80 24.592 40} 126.4 1272.8 35 . 670 28 87.96 615.75 24.814 40| 127.2 1288.2 85.892 28} 88.75 626.79 25.035 40J 128. 1304.2 36.113 28^ 89. S3 637.94 25.257 41 128.8 1320.2 36.335 28| 90.32 649.18 25.479 41} 129.5 1336.4 36.556 29 91.10 660.. 52 25.700 41 130.3 1352.6 36.778 29} 91.89 671.95 25.922 i[ 131.1 1369.0 86.999 29] 92.67 683.49 26.144 42 131 .9 1383.4 37.221 ??* 93.46 695.12 26.305 42} 132.7 1401.9 ;i7.443 30 94.24 706.86 26.688 m 133.5 1418.6 37.664 30} 95.03 718.69 26.808 m 134.3 1435.3 37,886 30i 95.81 730.61 27.029 43 135. 1452.2 38,107 ??* 96.6IJ 742.64 27.2.'il 43} 135.8 1469.1 38 329 31 97.38 754.76 27.473 43 136.6 1486.1 38.550 31} 98.17 766.99 27.694 4?f 137.4 1603.3 38.772 3U 98.97 779.31 27.916 44 1.S8.2 1520.5 38.993 , 3l| 99.74 '791.73 28.137 44} 139. 1537.8 39.215 32 100.0 804.24 28.3.'i9 441 44f 139.8 1665.2 39.437 32} 101.3 816.86 28.580 140.5 1572.8 39.658 32* 102.1 829.. 57. 28.802 45 141.3 1590.4 39.880 32| 102.8 842.39 29.023 46} 142.1 1608.1 40.101 33 103,6 855.30 29.245 451 142.9 1625.9 40.323 33} 104.4 868.30 29.467 46| 143.7 1643.8 40.. 564 331 105.2 881.41 29.688 46' 144,6 1661.9 40.766 33| 106. 894.61 29.910 46} 145,2 1680.0 40.987 34 106.8 907.92 30.131 461 146. 1698.2 41.209 34} 107.5 921.32 30.353 46 146.8 1716.6 41.431 ^H 108.3 934.82 30.574 47 147.6 1734.9 41.652 343 109.1 948.41 30.796 47} 148.4 1753.4 41.874 35 109.9 962.11 31.017 ^n 149.2 1772.0 42.095 35} 110.7 975.90 31.239 471 150. 1790.7 42.317 35* 111.5 989.80 31.461 48 160.7 1809.5 42.538 35| 112.3 1003,7 31.682 48} 151.5 1828.4 42.760 " 300 CIECLES. Side of side ot 48J- Clrcum. I5i.3 Area. equal square. Olam. Clrcum. Area. equal Equara 1847.4 42.982 61 191.6 2922.4 54.059 4S| 153.1 1866.5 43.203 61} 19:!. 4 2946.4 64.281 ^9 153.9 1885.7 43.425 61 193.2 2970.6 64.502 49} 154.7 1905. 43.646 61 193.9 2994.7 54.724 49| 155.5 1924.4 43.868 62 (i2 ■ 194.7 3319.0 64.946 40| 156.2 1943.9 44.089 195.5 3043.4 55.167 60 157. 1963.5 44.311 62 196.3 3067.9 65.389 511} 1.57.8 1933. 1 44.632 62 lUT.l 3 92.5 65.610 50i 1.58.6 2002.9 44.754 63 197.9 3117.2 55.832 1.59.4 2022.8 44.976 63} 198.7 3142.0 66.053 51 160.2 2042.8 45.197 63i 199.4 3166.9 66.275 «'* IGl. 2062.9 45.419 6:-ij 200.2 3191.9 56.496 6li 161.7 2083.0 45.640 64 201. 3216.9 56.718 51J 162. 5 2103.3 45.862 Hi 201.8 3242.1 56.940 52 163.3 2123.7 46.083 64 202.6 3267.4 67.161 i^^ 164.1 2144.1 46.305 64J 203.4 3292.8 57.383 62A 164.9 2164.7 46; 526 65 204.2 3318.3 57.604 52J 1115.7 2185.4 46.748 65} 204.9 3343.8 57.826 * 63 166.5 2206.1 46.970 65* 205.7 3369.5 68.047 53i 167.2 2227.0 47.191 m 206.5 3395.3 58.269.. 53^ 168. 2248.0 47.413 66 207.3 3421.2 58.490 53| 168.8 2269.0 47.634 66} 208.1 3447.1 68.712 64 169.6 2290.2 47.856 66* 208.9 8473.2 58.934 64} 170.4 2311.4 48.077 66* 209.7 3J99.3 59.155 64* 171.2 2332.8- 48.299 67^ 210.4 3.525.6 59.377 64| 172. 2354.2 48.520 67 . 211.2 3552.0 69.598 55 172.7 2375.8 48.742 67 212. 3578.4 69.820 68} 173.5 2397.4 48.964 67- 212.8 3605.0 60.041 5^ 174.3 2419.2 49.185 68 213.6 3631.6 60.263 55^ 175.1 2441.0 49.407 68} 214.4 3658.4 60.484 SB 175.9 2463.0 49.628 68* 68| 215.1 3685.2 60.706 56} 176.7 2485.0 49.850 21f.9 3712.2 60.928 6(ii 17?. 5 2507.1 60.071 f.9 216.7 3739.2 61.149 5(i| 178.2 2529.4 50.293 69} 217.5 3766.4 61.371 57 179. a551.7 50.614 69 218.3 3793.6 61.592 57} 179.8 2574.1 50.736 HUJ 219.1 3821.0 61.814 57^ 180.6 2596.7 60.9.'' 8 70 70} 704 219.9 3S48.4 62.035 67a 181.4 2619.3 61.179 220.6 3875.9 62.257 68 182.2 2642.0 51.401 221.4 3903.6 62.478 5f} 182.9 2664.9 61.622 7I'| 222.2 3981.3 62.700' 6f^i 183.7 2687.8 61.844 71* 223. 8959.2 62.922 68| 184.5 2710.8 62.065 71} 223,8 3987.1 63.143 59 185.3 2733.9 52.287 7)1 71} 224.6 4016.1 63.365 69} 186.1 2757.1 62.608 225.4 4043 2 63.686 59^ 186.9 2780.5 62.730 72 226.1 4071.5 63.808 ^3 187.7 2803.9 52.9,52 72} 226.9 4099.8 64.029 60 188.4 2827.4 63.173 72 227.7 4128.2 64.251 60} 189.2 2851.0 53.395 72J 228 6 4156;7 64.473 60X 1 190. 2874.7 53.616 73 229. S 4185.3 64.694 190.8 2898.6 63.838 73} 230.1 4214.1 64.916 _ CIRCLES. 301 Clrcum. Area. 230.9 4242.9 231.6 4271.8 2:«.4 4300.8 233.2 4329.9 234. 4359.1 234.8 4388.4 23 J. 6 4417.8 236.4 4447.3 237.1 4476.9 237.9 4506.6 238.7 4536.4 239.5 4566.3 240.3 4596.3 241.1 4626.4 241.9 4656.6 242.6 4686.9 243.4 4717.3 244.2 4747.7 215. 4778.3 245.8 4809.0 246.6 4839.8 247.4 4870.7 248.1 4901.6 248.9 4932.7 249 7 4963.9 2511.5 4995.1 251.3 5026.5 252.1 5058. 252.8 ■ 5089.5 253.6 5121.2 2.i4.4 5153.0 255.2 5184.8 256-. 5216.8 256.8 5248.8 257.6 5281. n 258.3 5313.2 259.1 6345.6 259.9 6378.0 260.7 5410.6 261.5 5443.2 262.3 6476.0 263.1 5508.8 263.8 5541.7 264.6 5574.8 265.4 5607.9 266.2 5641.1 267. 5674.5 267.8 5707.9 268.6 6741.4 269.3 6775,0 side of I equal Bquare.l Dlam. 65.137 65.359 65.580 65.802 66.023 66.245 66.467 66.688 66.910 67.191 67.353 67.574 67.796 68.017 68.239 68.461 68. 682 68.90*, 69.125 69.347 69.568 69.790 70.011 70.233 70.455 70.676 70.898 71.119 71.341 71.562 71.784 72.005 72.227 72.449 72.670 72.892 73.113 73.335 73.566 73.778 73.999 74.221 74.443 74.664 74.886 76.107 76.329 73.550 75.772 75.993 86 86i 86* 86| 87 87} 87J 87-1 88 88} 88| 884 89 S9i 89J 89f ,■^90 90} 90J m 91 91} 91^ 91^ »"4 92 92} 92| 92f 93 93} 93J 93| 94 94} 94^ 9 If 95 95} 95J 95| 96 96} 96^ 96f 97 97} 974 97| 98 98} Circnm. Area. 270.1 6808.8 270.9 5842.6 271.7 6876.6 272.5 5910.5 273.3 5944.6 274.1 5978.9 274.8 6013.2 275.6 6047.6 276.4 6082.1 277.2 6116.7 278. 6151.4 278.8 6186.2 279.6 6221.1 280.3 6256.1 281.1 6291.2 281.9 6326.4 282.7 6361.7 283.5 6397.1 284.3 6432.6 285.1 6468.2 285.8 6503.8 286.6 6539.6 287.4 6575.5 288.2 6611.6 289. 6647.6 289.8 6683.8 290.5 6720.0 291.3 6756.4 292.1 6792.9 292.9 6829.4 293.7 6866.1 294.5 6902.9 295.3 6939.7 296. 6776.7 296.8 7013.8 297.6 7050.9 298.4 7088.2 299.2 7122.5 3'i0. 7163.0 300.8 7200.5 301.5 7238.2 302.2 7275.9 303.1 7313.8 303.9 7351.7 304.7 7389.8 305.5 7427.9 306.3 7466.2 307. 7504.5 307.8 7542.9 308.6 7581.5 Side or equal square. 76.215 76.437 76.658 76.880 77.101 77.323 77.544 77.766 77.987 78,209 78.431 78.652 78.874 79.095 79.317 79.538 79.760 ' 79.981 80.203 80.425 80.646 80.868 81.089 81.311 81.532 81.754 81.975 82.197 82.419 82.640 82.8G2 83.083 83.305 83.526 83.748 83.970 84.191 84.413 84.634 84.856 85.077 85.299 85.520 85.742 85.964 8G.185 86.407 86.628 86.850 87.071 302 CIECLES. Dlam. Circum. 309.4 310.2 311. 311.8 Area. side or equal square. Oiam. Circum. Area. Fide of equal square. 9fi 981 99 99i 7620.1 76.58.8 7697.7 7736,6 87.293 87.514 87.736 87.958 99i 99J 100 312.5 313.3 314.1 7775.6 7814.7 7853.9 88.179 88.401 88.622 To find, hy means of the Table, the square or circle that will contain the area of a hoard or surf axe of given length am,d width. Rule. — Find the area of the board or surface by multi- pl^'ing its width by its length, and in the columns opposite the area thus found, headed respectively " Diam.^'' " Cir- cum." and " Side of Egual Square^'' will be found the dimensions of the circle and square that contains the area. Example. — What is the side of a square, and what the diameter and circumference of a circle, that will contain the same area as a board that is 22 inches wide by 12 feet long ? Solution. — 22 inches, width, x 144 inches, length, =31 68 square inches, area of board: Then, in the table, opposite the area of 3166.9 (the nearest number to 3168) under the columns headed respectively " Diam.," " Circum.," and "Side of Equal Square," will be found 63^ inches, diame- ter, 109.4 inches, circumference, and 56.275 inches, side of square. Arts. SQUAEES, CUBES, AND EOOTS. Table of Squares, Cubes, and Square and Cube Boots, of all numbers from 1 to 1000. Do. Square. Cnbe. 8f\. Root, Cu. Boot. No. Square. Cube. Sq Root. Cu. RooL 1 1 1 T. 1. 64 2911 167464 7 3484G9 3.779763 2 4 8 1.41421? 1.259B21 66 302-. 166376 7.416196 3.802953 2 g 27 1.7ilAU60 1.442V.50 66 3136 17561ti 7.483J14 3.825S62 4 It 64 2. 1 587401 67 3249 1"5193 7.649334 3.848501 { 25 125 2.236068 1.7U997I1 6- 8364 195)12 7.61B773 3.870877 ( Sf 216 2.449489 1.8L7121 69 34-1 206379 7.681145 3.892996 1 49 843 2.645751 1.9li933 10 3600 216000 7.74596S 3.9I4S67 ) 64 612 2.828427 2. 81 3721 2269S1 7.810249 3.936497 { 81 729 8. 2.0S0084 62 384! 2 i832ii 7.874107 3.957J92 1( 100 1000 3.162277 J. 154436 6:j 3969 2)0047 7.93725,-i 3.979167 11 121 ld3l 8.316624 2.2i398U 64 4096 2 2144 8. 4. 12 144 1728 3.464101 2.2H942!i 66 42.5 274621 8.0S2257 4.020728 IS 169 2197 3.C05r.61 2.»61335 66 435U 287496 8.1210.iH 4.041240 14 lOH 2744 3.7416 7 2.410142 67 4480 300 6ii 8.185362 4.061548 16 225 3:176 3.872983 2.4f621.J 68 4621 3,443i 8.216211 4.0S165S IP 256 4096 4. 2.519842 69 4761 328609 8.306623 4.101566 17 289 4911 4.123106 2.67121-2 70 4000 84:i000 8.366600 4 1212S6 18 824 6832 4.242640 2 620741 71 604 357911 8.426149 4.140818 19 361 835tl 4.3S88^IS V.6«840i 72 6184 373248 8.485.81 4.160168 20 40 8000 4.47213- 2.711418 73 6329 389017 8.644003 4.179339 21 441 9261 4.fi82575 2.;6'«i23 74 6476 405224 8. 60^325 4.198336 22 484 1064S 4.690415 2.S020.i9 75 6626 421875 S.81O254 4.217163 23 623 12167 4.795S:n 2.1.43167 76 6776 438976 8.717797 4.235824 S4 576 138^4 4.898979 2.884409 77 69i9 45663S 8.774964 4.261321 25 626 1 56-26 6. 2 92J018 7H 6084 474662 8.831760 4 272669 26 67" 176711 6.099019 2.962496 79 6241 493039 8.888194 4.290841 27 729 lie-is 6.196162 3. 80 6400 612000 8.944271' 4.309870 28 784 21952 6.2)I60> 3.036589 81 6661 631441 9. 4.326749 29 841 2I3S9 6.385164 3.07-31T 82 67:4 651368 9.055385 4.3444H1 30 900 27010 6.471226 3.107232 8b 6889 571787 9.110433 4.362071 S] 961 29791 6.667764 3.141381 84 70.56 692704 "9.165161 4.379519 82 10J4 S276'j 6.«66864 3.174802 85 722.1 614125 9.219514 4.396830 33 lOSO 359.17 6.74466^ 3.207534 86 7598 636U66 9.273618 3.414C05 34 ll5li 39304 6.830951 3.239612 87 7669 653603 9.327379 4.431047 35 l-'25 42'i75 6 916079 3.271016 88 7744 681172 9.380S31 4 447960 36 12^1'^ 46656 6. 3 SO 1027 89 7921 704969 9.433081 4.464745 37 1369 60663 8.0S276-: 3.33 '222 90 81110 729000 9.486833 4 481401 38 1444 64872 6.164414 3.861975 91 8281 763571 9.63939J 4.497942 39 1621 69319 6.241998 3.391211 92 8464 778688 9.591663 4.514367 40 1600 61000 6.324656 3.419952 93 8ri49 804367 9 643630 4.630665 41 ]6S1 68921 6.403124 3.44S2I7 94 8836 830584 9.695360 4.646838 42 1764 740SS 6.480740 3.476127 96 9026 857375 9.746794 4 562903 43 1849 79 07 6.657418 8.603398 96 9216 884738 9.797950 4.677857 44 1936 851-4 8.633249 8.630348 97 9409 912673 9.848867 4.694701 46 2025 91126 6.70«2n3 3.6668<<3 98 9604 941192 9.899494 4.610436 48 2116 97336 6.7Mi30 3.68:048 09 9801 970299 9.949374 4.626065 47 22 9 10382! 6.866654 3.e0882-i 100 lOOtO lOOOOOO 10. 4.641589 48 2J04 110592 6. 9.28203 3.t.3J211 101 10201 103090 10.049375 4:667010 49 2401 117649 7. 3.669306 102 1U404 1061208 10.099604 4v672330 6' 25011 125000 7.071067 3.684031 lOJ 10600 10J2727 10.148891 4.687548 51 2601 132661 7.141428 3.708430 104 10816 1124864 10.198030 4.702669 62 2704 ]40ti08 7.211 1(12 8.732511 105 11026 1167626 10.24606C 4.717694 63 2809 148877 7.280109 3.766286 106 11236 1191016 10.295630 4.732624 304 SQUAEES, CUBES, AND liOOTS. No. "li)7 -quarc. Cube. Sq. Boot. Cu. Root. No. 172 Square. Cube. , Kq.Koot. Cu. Koot. 114)9 1225043 10.344080 4.747459 29684 5088448 13.114877 •6.661i98 lOi- 11 64 12697,12 10.392304 4.7622l'3 173 29929 6177717 13.162946 5.67i0.j4 JOU 1188. 1-^96 29 10 4 0.)06 3.776856 174 30276 6-268024 13.190.0d 6.58J770 110 12 0" 133 000 10.4880S)> 4.7914-.0 176 306 i5 6369376 13,'2-i8i66 6.593446 111 12E2 1367631 10.636663 4.805896 176 30976 64617)6 13 2t6499 6., 04019 n-. 12.>44 1404928 10.6«30)6 4.8202f4 177 31329 664V23:. 13.30(134 6.614673 11: V.769 1442897' 10.6!iai46 4.8S468S 178 31H84 66:i97.5i 13.341664 6.62.1226 114 12996 1481544 10.67707K 4.848'0? 179 32 41 67368 i9 13.3:91)88 6.636741 llr 13226 1620876 10.723806 4.862944 180 324 683.000 13.41640-, 6.b4aa6 111 l:-4.')P 166'1896 10.770329 10.816613 4.876999 181 32761 6923741 13.46i6.4 5.656651! m 13659 1601613 4.890973 182 33124 C02'5e8 13.490737 5.) 61051 ; lis 1 9..'4 1643032 10.862780 4.eOI86S 183 3 489 6128487 13 6:;7749 6.677411 119 14161 1686 16!i 10.908712 4.9,8686 U4 33866 ; 62-9604 13.66461,0 6.687734 ISO 14400 1728000 10.954461 4.93..'424 185 34.25 633162;. 13.601470 5.698019 121 KM! 177.661 11 4.94r088 186 34 90 6434866 13.633181 6.70S267 12i 14SSJ 181384S 11.016361 4.969S75 187 34969 6539203 13.674794 6.718479 12; ].'il29 18608U7 11.0g:<636 4.973190 1S8 35344 664467 13.;llij0a 6.7-28654 12J 153 ;c 1906;.2I 11.13552(> 4 986631 189 35721 6751269 13.747127 6.738701 125 lnt!26 1953 12f 11 180339 6; 19U 36100 68590011 13.7810)8 6.748897 l-.'l 16S76 2000376 11.224972 6.013298 191 36481 6917871 13.8-.0275 5.758966 12i 16121 ■iOIS383 11 2n9427 •6.026626 192 36864 70778S8 13.83t)4 6 6.7i;8998 ■' ]2^ 16i«l t097162 11.313708 6.039684 193 37249 7189057 13.892414 6.77899B 129 16611 2146t8P 11.357816 6.162774 194 37636 7301384 13.92838b 6.783960 130 16a0|. 2197000 11 401751 6.0n6797 19f. 38 2b 7414876 13.964-4U 5.79889.) 131 1716 2248091 11.4(6623 6.078763 196 3S416 762953f 14. 6.808766 13i 1742. 229996S 11.489125 5.091643 197 S8S09 7645373 14.03:,668 6.3.8648 13;- 176~» 23526:i7 11.632662 5.104469 198 39.04 776239; 14.071-247 6.£2347a» 13^ 17.61. 2406101 11.57.=83e 6.1172cO i:>9 39601 7880699 U.1067d6 6.8:i8z72 13S 18225 2460373 U.6 8950 6.129928 -.00 40000 800)000 14.l4-il35 5.846035 131. 184!il 2il5J56 11.661903 6.142563 201 40401 812060 14.177446 6.857765 137 187r.9 257135:i I1.7U4699 5.165137 202 4080) 8242408 I4.21-2b70 5.867461 13b 19U44 262807-- 11.747344 6.167649 203 41209 8366427 14.247806 6.877130 13« 19 2 2686H19 11.789821- 6.180101 20) 41)16 84896f4 14.'282<56 6.886766 UC 19000 2744000 11.832169 5.192494 *0j 42025 881512.5 14.317821 5.896368 U 1) 81 2803221 11 874342 8 204828 2C6 4243b 87418 If H.352;00 6.905941 142 20 M 2M.;28S 11.9163 6 6.217103 £07 42349 8869743 14.387494 5.91548L 143 i0449 2924 07 11.9682t:0 5 229321 206 43264 899891'. 14.42-220. 6.924991 14J SOiit 2985984 12. 6.241482 209 43681 9123329 14.46683.. 5.934473 14 2.02S 3048626 12.041694 5.2.-35^8 -.10 44100 9261000 14.49137t 6.943911 146 2l3it 31121:^6 12.08S04t 6.265637 211 44621 9.193931 14.6261-3 6.9 3341 14. 2 60t. 3176S23 12 124.366 6.277632 21. 44944 ■962812!. 14.5602 9 6.962731 14f 2:904 3241792 12.165626 6.289572 211> 46369 9663597 14.6946 9 6.9T2091 14t 2 20 8307949 12.20fi565 6.30146') 214 45796 9800344 14.628736 6.981426 16 2260. 3375000 12.247446 5.313293 216 46226 9938375 14 61>2<78 6.99ji2J 15 12S01 3412351 12 2S8206 6.3261)74 216 46666 1C07769 14.69B93> 6. 15-- ;314 3511808 12.328828 5.336^03 217 47089 10218318 14.730919 6.009244 IK 2340J 35S1577 I2.369.J16 0.348481 218 47:24 103i02S2 14.7648zt 6.0 8463 154 237 U: 3662264 12.409673 5 360108 219 47961 1050)459 14.798646 6.027650 15.^ 2402f, R723876 12.419899 6.3716S5 220 48400 10648000 14.83239 6.0.6811 15? 24136 3796416 i; 4it. 4574296 12.8«4:l98 6.49i)866| 231 63361 12326.391 15.198684 6.13i792 167 i7889 4757463 12.922848 6.606870 S32 53824 12487168 16.23154 6.1146J4 16f 282J4 4741632 12.96148. 5.617848 233 .6428? 12649337 15.5;6*:)37 6.163419 ', Uf 235tji 48268011 13. 6.628776 234 64766 12812904 15.297066 6.1622:19 1 170 •ill- 900 4913000 13.038404 6.6;'96,i8 236 66226 12977875 ,5.32970- 6.I7IOOS 171 29241 6000211 13.076696 6.550499 236 &S69lJ 13144256 16.36229L 6.179747 _ - SQT7AIIE8, CrUES, AND R(X)TS. 305 No. Square Cube. Sq. Boot, Cu. Root. No. Square. Cube. Sq.Koot. Cu. Boot. 237 i,61o9 133120511 15.894804 6.18846^) 30; 91204 27643608 17.878147 6.709172 238 5(1644 134S1272 16.42724s 6.197154 303 9iauv 27618127 17.406896 6 7166(9 !23;i 57121 13661915, 15 459624 6.206821 304 92416 2S(>94464 17.436696 8.7-23960 2:0 67. «0 13824001 15.491933 6.2 4464 30) 93026 2 3726-.'6 17.464-249 9.731316 241 6808 1399762 15.624174 6.22o083 301 93636 •/866261b 17.49286' 6.7886f6 242 68.i6l 1417248^ l5.666:i4H 6.231078 3o; 9424!) 2893444 ' 17.521416 6.745997 243 69049 14.34>90. 15.688167 6.240251 306 94664 2921 811£ 17.6499-26 6.753SI3 244 696 .6 Ui26:84 16.6i0199 6.248*00 Sot 0348. 295't362fc 17.678395 8.760614 2. a 001'25 147nali5 15.63247.>i 6.207324 310 96101 297910i;0 17.e06816 8.7878a9 ■Ai'. 60516 1488 '9E6 16.684317 6.266826 811 9672 S0O80231 17.63519-.- 8.7761(8 247 61i,oa Iri0.i922. 16.716233 6.274304 3.; 97344 8n37132!i 17.663521 6.782422 248 6I5II4 16252902 15.-48015 6.i827C0 31S. 9796! 80664-297 17.691806 6,789661 2i» 6.001 1643824!- 15.779738 6.291194 »M 985!'6 80959144 17.7;00 6 8.79(884 2)1 6 !f 01' lf.62000 i5.81 38.- 6.299101 3lf 99226 31265S76 17.7482E9 8.604091 251 63 01 1581:i26 l6.H297ii 6.3,7992 3:c 9985f 8165I49I 17.776368 6.811284 ib-i 61504 IBOO OO- 16.874607 6.316369 3 7 lOOltiS 318660 i 17.604493 8 818461 25. 64009 16194277 15.905973 6.321704 31( 101124 82157431 17.832664 8.826f24 2.14 64616 163S70il4 15.9.i7377 6.333 25 319 101761 824617.19 17.860671 6.632771 25.. 6602^ 186«1376 16.968719 8 -84 i 3: 6 32(- U2400 327681 00 17.688643 6.839903 266 65 3b 167772rl 16 6.349602 32 10.i042 83071161 17.916472 6.847021 25; 6604a 16974-19:4 6.031216 6 857839 3-iS 103684 33366246 17.944£68 8.8641;4 26'- 6 664 17173512 16.UB2378 6 366095 323 ■ 0432!- 83698567 17.972--00 8.661-211 269 67081 1737 J971 16.0934:6 6.374310 324 104971 3401'i224 18. 6.868284 lec 67100 1767600 16 124615 6.3S26I4 32! l(i66-.t 343-.!6126 18.027766 6.876343 261 681:11 1777968) 16.165494 6.390670 3:( 108-.7f 34646971 18.(66470 6.88:388 262 68644 1798472> 16.186414 6.398827 327 106929 S49.67SS 18.083141 6 689419 23 0J169 1810 447 16.217274 6.40u968 826 107684 85287552 18.110770 6.896435 261 696911 18:i9974J 16.24-07b 6.415068 3-2S 108241 8.:6112^6 18.138357 6.903436 26, 7022 18603626 16. -.7882 6.423157 831. 10^100 869..7OO0 18.166902 6.910423 2B6 707-i1 1882119 16.30950 6. 431'; 26 331 109661 86264 60-> 3:it 110869 869260. 7 78.248-.87 6.9318C0 269 72.1(11 19463109 16.40.219 6.456314 33 111.366 87259704 18.276f61 6.938-.32 271) 72900 196SE0 10.431676 6.4)3304 33; 11; 2-26 3759637! 18 £03(0 .6.945449 271 7a441 ig 7452 20341141; i6.6.'27ll 6.4871.'i3 336 114; 44 886144 £ 18.384756 6.966819 -.74 7507f 20.i708i4 16.56-.!946 6.4930t4 3:)! 114' 21 !;895821f 18.41196-.i 6.972682 270 7662 207968:! 16.88312-1 6.t029i6 310 iiseoo E93f400( 18.4.')!068 6. 97 9632 27(1 76171' 21024571 16.613247 6.510429 31 116^81 89661821 18.466185 6 986369 277 7r,72!. 2126393: 16.B4.i3l7 6.618.i84 34S 116t64 40(0168^ 18.49324; 6.993491 2-8 77284 21484952 16.67333; 6 6i6>19 34;- 117649 4o:i63607 18.520 St) 7. 271' 778*1 2nl7B:it' 16.7(13293 6. 634 '36 344 118836 41707684 18,547237 7.006796 280 78400 789fl 2195210 18.7332C0 6.642132 34; Il0>i2i 41063026 18.574.76 7.013679 2-11 22l88"4l 16.763034 6.649-11 341 119716 4i42173e 18.6010;6 7.020349 28 7>1624 2242676(' 16.79266. 6-667672 3i; 120409 4178)92;- 18.6279Bf 7;027IC8 283 80089 2J66518: 16. 8221.03 6. f 65416 a4e 121104 4-.'14419i 18. 6.34766 7.133860 281 80(16 229U630 i6.86i2S9 6.673139 34f 12U0I 42506649 18.68164) 7.-;40681 21-6 8122f 2114' 1 6 16.881943 6.58U844 1 .3f,(, 1;2;00 42676001 18.708281 J. 047-208 28C 8179f 2.3393651 16.9116:^4 6.688531 361 123201 4324366J 18.734994 7.0 4003 28 82L16!' 23tJ3990; 16.9410(4 6.696202 35. T23P0- 43614206 18.761663 7.06C696 28S 82944 23867872 16.9705t2 6.603864 33: 124609 4398i)9;7 18.788-294 7.06)376 28M 83n21 241:i7.''69 17. 6.611488 354 12.3316 443611)64 18.814887 7.07404 ) 2 84100 2438P00O 17.029::86 6.619101. 33, 12602^ 44738875 1«. 84144; 7.080698 291 84081 24642171 17.06872. 6.626705 361 126:39 45118U1( 18.667962 7.(87341 21 85264 24897UHJ l7.U88t0; 6 634287. 357 12 449 45499293 18.69444:^ 7.09S97C 29.) 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'.0-29.1 15041 • 676 456976 30891.'.776 6. 8.7763S2 741 51908 4068631 21 27.223 6 9.049114 9.0631^3 677 45832!> 310288733 '6.019223 8.780708 742 65056 4035 84h8 .7.i396;( 67 S 469684 3116(^6752 ■6.038433 8.7860-29 lih 5 204 410172J07 27.2180.6 6.057248 679 461011 31304(1839 2-!. 057628 8.789346 744 653536 411830781 2;.27'.3(3 9.(t61£09 680 462401^ 314432001 26.(7r'8i* 8.793650 745 6-.602.'. 4134936-25 7.2946'!. 9.0':63b7 681 46.376' 316821241 -26.0969T6 8.797967 74- 65!i51 416160936 27.3 St'Oi. 9 91-..2 6S-i 46' 121 3i72U568 23.116129 8.80227 747 658. 0! 4168:- 2723 2 '.331300 9.0734J2 683 684 466481- 818611987 26.134268 8.806572 748 659)0 418.103992 27.349588 9.077519 467861' 3200135./4 ;6.16.-)393 8.810804 749 66100) 4'20189749 27 367 86 J 9.0Slf63 . 6D5 46922.'> P2t419125 26. 172^04 8.815169 760 662' 421875000 27. 386. '27 9.186603 687 47U696 3221i68S6 •26.191661 8.819447 751 6640-, 1 4'23664751 27 .40437! 9 01(963? 471969 324-2427(13 -26.21 684 8.8 3730 752 eeS.'iO: 421'259008 27.422611- 9.03:1672 68h 473344 326660672 .'6.223764 8.8-28009 7ob 5670J'' 426957777 27 440.145 9.(97701 689 690 474721 327082769 26.-248809 8.832285 764 66851( 4236rtlOR4 •27.4500' 0.101726 47bl0:i 32-1600000 6.267861 8.8365661 765 67002.1 41:0368876 27,477261' 9.1017,4« 9.10976» »91 4774911 S2Bg39371 ( 26.286>78 8.440822 766 671530 4.:2081216 27.495464 ' SQUAEES, OITBES, AND BOOTS. SOS Ko. Square. Cube. Sq. Uoot, Cu. Koot. No. Square. Cube. Sq. Boot. Cu. Koot. 767 673049 4337960U3 27.613633 9.113781 82'. 676684 66541.248 28.67054 9.367606 768 674 164 43541961.: 27.631709 9.117/93 82. 677326 .•.57441767 28.f.8;97t 9.37i3l!2 759 676081 437216179 27.649964 9.121801 824 678971, 559176224 28.706401. 9.376096 760 577600 438976000 2?. 668097 9.126805 8.6 6S0625 661616626 -28.72.8i: 9.378687 781 679121 4407110!il 27.6662/8 9.129806 826 682-76 66356!:97ii 28.74(121! 9...726r6 ■.6-2 64U644 44245U728 27.6I'4347 9.133803 fc27 683.J2V 666609283 i8.761C0 9.38.-46(l 768 682169 444194917 27.622154 9 137797 828 685..i8H 667663 52 28.7741-86 9.390,241 i64 683696 4459 '3744 27.840i49 9.141788 829 6S7-241 6(.972-278!l -28.79-2361. 9.394020 766 585525 447697126 27.668633 9.146774 8.30 68890. 6717^7000 28.8097-0 9 397 ',96 766 686T6ri 449455096 27.876706 9.149767 831 690561 673866191 23.827)71 9.401.n69 7li7 f8S28'J 46:217663 27.694764 9.163737 83. 692224 675930368 '28.844411 9.t0.i3:!8 768 68!>»21 462g848b2 27.712812 9.167713 83:j 69.j88t 67800 :i587 -26.861 i3" 9.409105 760 691361 45476660J 27.73'JS49 9.16686 834 «955,i6 680093704 28.879058 9.41-2869 770 fi!l29U0 456: 3301.0 27.748373 9.1656:6 83- 6972i^ 682181.876 8.89636( 9.41661:0 771 694J4I 468314IJ11 27.766886 9.169622 838 69389. 684277056 28.913664 9.420387 772 695984 4' 0099648 27.784R-8 9.173683 837 71 0560 586376->6:l .8.93095-. 9.424141 773 697529 461849917 27 812877 9.177644 838 702-244 638480472 'i8. 948-226 9.427b93 774 699076 463684824 2r.8-'0356 9.1816:jo 839 703921 •'i906s9719 '23.965491 0.4311-42 77-) 600625 465484375 27.338821 9.J86462 811. 705600 6!l'270i00i. 28.982763 9.436388 776 6 12176 467v'88576 i7.85t776 9.189401 841 707281 694S2 1.321 29. 9.4361S0 '7 7 603T29 469097433 27.874719 9 193347 842 708964 69aS478«8 •29.0172.36 9.442-70 7;8 61 '6294 470910952 27.89.;661 9.197239 843 71 08 It 699077107 29.03446; 9.446607 779 60684: 472729139 21.910571 9.201228 844 71283 601211684 -29.0616T8 9.4:0341 7H0 60'(400 474662 100 ;7. 9284811 9.206164 846 7l402.i 603351126 -9.0t8«8:- 9.464071 781 609 Wl 476379641 27.946377 9 208096 846 715716 605495736 29.081076 9.467769 782 611524 478211768 .7.664.'62 9.213020 847 717409 607645423 29.103-:61 9.461,'i24 783 61S089 480 148687 27.982137 9.216050 848 719101 f09-00192 9. v. 0439 9.46n-247 784 614656 481890304 28. 9.220872 849 72n80 611960049 29.1376 4 9.4h8968 786 6 10. '26 4'37360J.'i :8.017851 9.2247!l 850 722600 614125 00 '29. 1647.19 9.472682 736 617796 619369 485987656 28.036691 9.2-28706 861 72420 616296051 2H. 171904 9.476395 787 48744K40:', 23.0636.0 9.232618 862 7259 4 618470208 29.1890:3! 9.48010S 78S 6209(4 48930387-i ;8. 071337 9.237527 863 727609 620660477 29.206163 9.483813 789 622621 49116U069 .^8. 089143 9.240433 864 72931. 122135864 29 22327f 9.487518 790 624100 49:iO390OU 28. I0893S 9.244:J36 8.'i5 7:11026 62.5026276 29.24038 9.491219 791 6.'668l 494913671 28.12472J 9.218214 856 73273. 62722201S 29.-267477 9.494918 792 627264 496793. 88 28.142494 9.262130 857 73444t 62B4'22793 -29.274662 9.468614 793 62884S 498877267 28. 160266 9.266022 8 8 736164 631628712 29.29163. 9.60 '307 794 6304:16 6110.66184 j8 17800.i 8.2.-.9911 8.i9 7(7881 633839779 29.30870 9.5(16998 79i 632025 602469876 28.196744 fl.2W97 860 7;198 636066 00 -29 325761 9 5l 9665 79B 63:5616 60l3.i8336 2S. 213472 9.267879 86> 741:i2l 638277381 20.342801 9.513:i6» 797 6:i62 19 606261673 23.2.1188 9. '271659 862 743044 640ili39-8 29.369831 9.617061 79? 636804 603l695r<2 a<.24889il 9.275436 863 744765 64273! 847 29.376661 9.5^0730 799 638401 610082399 28.266688 9.279:i08 864 7464»e 64497'2544 -29.39:i87l. 9.6'24I08 SCO 640000 51200 000 28.28427. 9 233177 866 74S22: 6472146.6 -29.4108-2 9.!23079 801 641601 5139J2401 28.801913 9.287044 866 749961 649461896 9.42787', 9.631749 SO-/ 643201 61684960(1 28.319604 9.290907 867 75183! 6M714363 29.444863 9.636417 803 644'i09 517781627 28.337-254 9.294787 868 7534-24 65:1972032 29.46 639 9.639081 804 646416 519718464 28.364893 9.298623 869 75516". 65(i234909 -29.476806 9.642743 806 64S026 621660125 23.372521 9.i0'2477 870 766901 658603000 29.49r.7i2 9.546402 806 649'i36 623606616 28.390139 9.306:i27 87" 758641 660776311 29.612709 9.5500n8 807 651246 6265.17943 28.407745 9.310176 872 760334 663>:54848 29 529'46 9.5S3712 808 662864 627514112 28.42634U 9.314019 87» 76212! 865338' 17 29 646673 9.667363 809 654481 6294751i« 28.442925 9 317869 874 78387. 6678276-24 .9.663491 9 661010 810 666100 63144100) -23.460498 9.3216!.7 875 705626 689921876 2t.6803!i6 9.664665 811 657721 6334.1731 23.478061 9.325532 876 76737! •7.22.376 29.697297 9.51.6297 812 669344 63.6387328 -28.495313 9.3'/938> 877 76912! 674 26133 9.614185 9.671937 Slit 66096M 63736679 i 23.613164 9.3331!:1 875 770384 6r883<.152 29.631064 9.575674 814 662696 639363144 '28.630685 8.337016 879 77264. 6791.11439 29.647932 9.679L08 816 664226 641343:i75 28 648204 9.340833 880 774400 681472C00 29.66479.; 9.582839 816 665S66 643.-J38496 -2S.686V1:J 9.3446 7 881 7781n] 683797841 ■29.<.81644 9 6W4r!8 817 667489 646338613 28.683211 9.348473 882 7779-24 688128968 23.69S484 9 690093 818 669124 647343432 28.60 -699 9.362236 883 77968!' 688465387 -29.716316 9.1)93718 819 6 0761 649363269 28 618176 9.356095 884 7S1466 8Illl8071i'4 29.73.137 9.697337 82(1 672400 661368000 28.6:i6642 9.359901 8!I5 78322; 393154126 -29.748946 9.f0n964 821 674041 663387661 28.653097 9.363704 886 78499t 695506466 29.765762 9.604589 310 BQUAEES, CUBES, AND BOOTS. »o. Square Cube. 697864103 Sq. Root, Cu. Root. No. Square. Cube. Sq. Boot. Cu. Root. "887 78676! 0.7oa64o 9.608181 "914 891131 84113 3'<4 30.7245f3 9 E0J736 ese 78854 700227072 29.79932- 9.611791 91! f9;i0.fi 84390 16: 5 0.74.8 2 9.81:n68 880 79l):-2 7026U53t9 39.81610! 9^6]63-7 94 891911 846690.3U 3.1.76711:) 9.H6P69 890 702101 7'496900) ■i9 f3-28h7 9.6190111 94 8siC'80 8492781 '23 10 7;t36i 9 820117 89' 79388 70:347971 29.8496'23 9. 621601 94f 81-87114 85197 13F2 .0.7896l.> 9.823572 892 79866) 7 973 94-641 91549861 1 31.16l)-7'2 9.902S83 916 83-22! 78 060B75 10.2489611 9.70>^28l) 07: 944784 918311048 31.178314 31 19-947 9 905781 910 839051 7H66 6 96 i0.2i6l91 9.71177! 97; 9467 ii 921117317 '9.909177 917 84' 88! 771096213 30.'2?£0i7 g.715;:06 97-1 9488- 6 92M04-24 31.' 0167. 9.91-571 9l^ 84-272- 77362(163 i 0.29*614 9.T 8836 !I7 !>6062! 626859375 31.22 9 1 9,916962 916 81456 776161569 30.31(01 9.72-;363 07 e 862571 829714176 :l.'240v'68 9.610361 920 8464u< 778688001 30.3lliHl 9.72888 977 964:'2!' 9325748S13 31.266999 9.922738 9Ji 84824 7812-29'^61 .'.0.347991 9.7-2941 97 > 9561-4 63J441'.52 31 27.99] 9.9261 2 9i2 860 8-1 78.777448 30.364l-i 9.7329 97! 96844 938313739 ■11 .28817!- 9. 129604 92 J 8619,! 7863 0467 ■10.38091!. 9.736448 fl 1. 96140 94ligi0(.0 :'.I.3l49.;' 9.9: 2883 9i4 I63T 6 7 8S8830-:4 30.3973 !► 9.739963 9- 962,6 944076141 :n.3 091! 9.93 261 92! 85661! 79146312J 0.413-1-. 9.743476 98 96432-' 91691:61(8 31 3 tSV 9.919636 921 857J7t 79411227 76 5'). 4 024f 9.746985 91-S 96621't 94986 Oti7 31.S62-;.( 9.943109 »i7 85932!- T9' 697983 ;0.44i'674 9 760493 964 9 8.6( 952763904 31.368774 9,9ir379 9t 86118' 799178752 10.41309 9 763998 9- 970-21! 96667162'. 1.3847(i!. 9.849747 929 Ii6a04 801765' f 9 30.47950 9.767 00 08f 9721!'f 9 66-52. 6 31.400631 g.g631'3 930 864U0 t'01357000 0.49li9l'l 9.761010 U87 974169 9iii! 04803 31.416 6( 9. 9; 6471 931 86676 8-6954491 30.5:2 92 9.764497 88' 976144 9641302:2 31.41'24l7 0.869839 »ti 8rt'f2 Mli5fi7f68 30.6-28675 9.767192 9-9 978121 9>17361669'U.448J-.0 8.9631' 8 933 8704a! 812166237 iO.MSOiS 9 771484 99 9-OI0( 970.991:00 M 464266 9.966654 93) 872351 814'8060« 10.66141: 9 774974 991 98 O'l 973-242.71 31 48016i 9.9696C9 9?6 874-JS 8174003-6 10.677769 9.778461 99- 9-! -106 !■7l-^1914^8 31.4960:1 P. 97-262 83 876U9e 820025t.£6 31.694 17 9 782946 99 98S04! 9: 914665? 31.61.602 9.976612 937 8779l)i ^2J66695^ 0.6104 6 9.786-28 994 9SiiO ;i 982107784 31 .627rC6 0.979959 93' 87!<8l'l 82629W72 10.6 6786 9.798908 91.1 9900-21 985074876 .1.6436 1 9.983104 939 8817' 82793 019 ■10.643106 9.79.386 99' 99 01 9'l!i047936 31.569467 9.986648 94, fsseoi 83058400'! ■'.0.65941!' 9.7958hl 997 99400' 991026978 31.176 (16 9 9899r0 941 88648 8332-!7621 30.67.'.72 9.799333 998 9961104 991011992 31.60113- 9,993328 942 8873ri4 835896888 0.692018 9.80281.3 999 SO'Oll 997. 02999 si.eceoel 9.906665 943 88924'. 838661807 3O.7O80O6 9.1:0.271 luOO lOLOOwO 11,00000000 31.622776 10; THE SOIL. The soil is made up of decomposed rocks and decayed or decaying organic matter. The proportion of orga»ic mat- ter is small — ^not averaging in fertile soils more than five per cent. All of the rest of the soil is of a mineral origin, and has at some period formed a part of the rocky crust of the earth. By the action of air, and heat, and frost, and the friction of running and falling water, and the movement of rocks and stones in moving water, these substances have been suf- ficiently pulverized to form the foundation material of our present soil. During uncounted ages these processes have been going on, and they are still active; and, in addition to these, the chemical changes which result from the exposure of pul- verized mineral matter to the action of air and moisture, and the successive growth and decay of plants, have oper- ated, and are still operating, to ripen the soil to our uses. In the early ages, when perhaps the composition of the atmosphere w^is different from what it is now (and when the soil was surely very different), only plants of a low order, such as are now extinct, could grow at all. These absorbed certain matters from the atmosphere, and, on their decay, gave them to the soil, — thus helping to fit it for the growth 312 THE SOIL. of a higher order of plants, which were in time succeeded by others, and those by others, until, finally, the changes effected in the soil by the action of the chemical forces, and by the deposit of vegetable matter, have enabled it to pro- duce the vegetation required for the uses of man. Classification of soils. Some soils were formed mainly of the rocks on which they now lie — as those of the granite region of New England — and these take their names from these rocks, as granitic soil, limestone soil, sandstone soil, &c. Others have been formed by the deposit, by means of great floods, or the gradual silting of rivers. The latter of these (as the flat lands of the Mississippi Yalley) are called alluvial soils ; and the former (comprising those soils of varied composition in which occur clay, gravel, boulders, &c.) are called diluvial soils. Another classification, which is much more definite, is the following : — 1. Ptjee Clat consists of about 60 per cent, of silica and 40 per cent, of alumina and oxide of iron, usually chemi- cally combined. 2. Steongest Clay Soil consists of pure clay, mixed with 5 to 15 per cent, of silicious sand. 3. Clay Loam consists of pure clay, mixed with 15 to 30 per cent, of fine sand. 4. Loamy Soil deposits from 30 to 60 per cent, of sand. THE fiOIL. 313 6. Sakdt Loam deposits from 60 to 90 per cent, of sand. ^ 6. Sakdy Soil contains no more than 10 per cent, of pure clay. To analyze the above soils with a view to dassifyi/ng them. EuLE. — Weigh a portion of the soil and spread it thinly on writing paper, and dry it for an hour or two in an oven, the heat of which is not great enough to discolor the paper — the loss of weight is the quantity of water it contained. Weigh and then boil another equal portion, and when thoroughly incorporated with the water, pour it into a vessel, and allow the sandy parts to deposit until the fine clay is also beginning to settle ; then pour oif the water, collect the sand, dry as before, and again weigh, which will give the per cent, of sam,d it contained. The above classification and analysis of soils have refer- ence only to the water, clay, and sand which they contain, while lime is also an important constituent, of which they are rarely entirely destitute. This gives rise to a further classification. 7. Maelt Soil is one in which the proportion of lime is more than 5, and not over 20 per cent, of the whole, weight. 8. Caloa«eou8 Soil, in which the lime exceeds 20 per cent. To analyze ma/rly and calcareous soils, with a view to their classification as above. EuLE. — ^Mix 100 grains of the dry soil with half a pint 14 314 THE SOIL. of water, and add, half a wine-glassful of muriatic acid ; stir it thoroTighly during the day, and let it stand and settle over night. Pour off the clear liquid in the morning, and again fill the vessel with water and stir thoroughly, and when clear again pour it off; dry the soil and weigh it. The loss is the quantity of lime the soil contained. If it exceeds 5 grs., class as a marly soil ; if more than 20 grs., class as a calcareous soil. 9. Vegetable Moulds, which are of various kinds, con- taining from 15 to 60 or 70 per cent, of organic matter. To analyze vegetable moulds, with a view to their classifi- cation as above. Eple. — Dry the soil well in an oven, and weigh it ; then heat it to a dull I'edness, over a lamp or bright fire, until the combustible matter is burned away and evaporated. Again weigh it, and the loss is the quantity of organic matter it contained. Besides the foregoing ingredients, every soil must contain more or less of all the elements which enter into the com- position of vegetation. They must hold, in a form adapted to its growth and support, silex, alumina, carbonate of Ume, sulphate of li?ne, potash, soda, magnesia, sulfphur, phos- phorus, oxide of iron, mamganese, chlorine, and, probably, iodine. They are called the " inorganic or earthy parts of soil," and constitute from one-half of one per cent, to over ten per cent, of all vegetables. Their analysis is too diffi- THE SOIL. 315 cult and complicated to be attempted by any but a practical agricultural chemist. The value of soil analysis, even when made by the most careful and skilful chemists, is practically very little. The quantity of matter which is capable of affording food to plants is so very small, in proportion to the whole bulk of the soil, even in those of the most fertile character, that it is questionable whether a sample to be analyzed could be so carefully prepared as to represent the average character of the whole field. Then, again, if we were to procure a cor- rect analysis of a very fertile soil, and then were to crop it for a series of years without manure until it refused to pro- duce paying crops, and were to have it analyzed again, it is not likely that the chemist would detect any change in its composition. In like manner, if we were to add to it 500 lbs. to the acre of bone dust, — enough to make it produce abundantly, — analysis would fail to detect the small quantity of phosphate of lime that we had added in the bones. Another argument against the value of the analysis of the soil, and a very strong one, is found in the fact that the fer- tility of the soil depends less on the quomtity of plant food that it contains than on its condition. The roots of plants cannot feed on the inside of a pebble ; they can only apply their pumps to its surface and take 'in so much of what is there exposed as can be dissolved in the moisture which goes to form their sap. Neither can roots travel about iujthe soil ; they grow into certain places, and tjiere they remain. 316 THE SOIL. If an inch away from them there is a mass of rich food, they cannot make use of it — save by sending out new shoots to embrace it — ^but must remain content with the poorer tract in which they lie. Consequently, the uniform distribution. of the plant food, its solubility, and its eayposure on the sur- faces of the particles of the soil are quite as important as its quantity. Chemical analysis teaches us none of those things — at least it does not teach them so definitely as we would need to know them to be able to make any practical use of its assistance. In addition to these, fertile soils must also contain carbon, oxygen, nitrogen, and hydrogen, which are called the organic parts of soils, from their great preponderance in vegetables' and animals, of which they constitute from 90 to over 99 per cent. General results of analytical exa/minations of soils. 1. A due admixture of organic matter is favorable to the fertility of a soil. 2. This organic matter is the more valuable in proportion to the quantity of nitrogen it holds in combination. 3. The mineral part of the soil must contain all those substances which are met with in the ash of the plant, and in such a state of chemical combination that the roots of plants can readily take them up in the requisite propor- tions. \ THE BOIL. V 317 Table, showing the composition, m 1000 parts, of different Jevnds of soil. OONSTITOKITTS. FertUfl without msnurB. FirtUe with mftaura. Very Barren. Organic matter, 97. 60. 40. Silica, 648. 833. 758. Alumina, 67. 81. 101. / Lime, 69. 18. 4. Magnesia, 8. 8. 1. Oxide of Iron, 61. 30. 91. " of Manganese, 1. 3. trace Potash, 2. trace • ■ . ■ Boda, 4. * . . • . • •• Chlorine, 2. .•-• .... Sulphuric Acid, 2. 1. ■ ■ >• Phosphoric " ^ 4. 2. .... Carbonic " 40. 4. Loss, 15. ■ • ■ ■ 6. Note. — ^The soil designated " fertile without manure " has been cultivated sixty years without manuring, yielding abundant crops. The soil designated " fertile with manure " has been cultivated over forty years, yielding good crops with ordinary manuring; while that designated "very bar- ren " could scarcely be made to yield anything by the greatest manuring and most careful cultivation. The following is an analysis of three specimens of very fertile soils, made by Sprengel : — Soil near Osterbruch. Silica, Quartz, Sand, and Silicates 84.510 Alumina 6.435 Oxides of Iron 2.395 Oxides of Manganese 0.450 Lime 0.740 Magnesia 0.525 Potash and Soda extracted by water 0.009 Phosphoric Acid 0.120 Sulphuric Acid 9.046 Chlorine in common Salt 0.006 Humic Add 0.V80 Insoluble Humus 2.995 Organic matters containing Nitrogen 0.960 Water 0.029 near Hoya. near weserbe. 71.849 83.318 9.350 3.085 6.410 5.840 0.925 0.620 0.987 0.720 0.245 0.120 0.007 0.005 0.131 0.065 0.174 0.025 0.002 0.006 1.270 0.800 .650 4.126 2.000 1.220 0.100 0.1,50 318 t THE SOIL. The above had remained a long time in pasture, and the second was remarkable for the fattening qualities of its grass when fed to cattle. The following are arable lands of great fertility :— .From Ohio. Soil Boil from Moravia, Soil. Subsoil. from Belgium. Silica and ^fine Sand 77.209 87.143 94.261 64.517 Alumina 8.514 5.666 1.S76 4.810 Oxides of Iron 6.592 2.220 2.336 8.316 Oxide of Manganese 1.520 0.360 1.200 0.800 Lime 0.92t 0.564 ^-"^^^^^TAm^ ^-^O* Magnesia 1.160 0.312 0.310 ^^^'f 10.361 Potash, chiefly combined with °' SUioa 0.140 0.120) (0.100 Soda, ditto ....0.640 0.025 f "■''*^ 1 0.013 Phosphoric Acid, combined with Lime and Ox. of Iron.. 0.651 0.060 trace 1.221 Sulphuric Acid and Gypsum.. 0.011 0.027 0.p34 0.009 Chlorine in common Salt 0.010 0.036 trace 0.003 Carbonic Acid united to the Lime 0.080 Humic Acid 0.978 1.304 0.447 Insoluble Humus.... 0.540 1.072 Organic Substances containing Nitrogen 1.108 LOll " Of these soils, the first had been cropped for 160 yeara successively, without either manure or naked fallow. The second was a virgin soil, and celebrated for its fertility. The third had been unmanured for twelve years, during the last nine of which it had been cropped with beans, barley, potatoes, winter barley and red clover, clover, winter barley, wheat, oats, naked fallow." — Johnston. Depth of soU — its irryportwnce. If 50 be assumed as the value of a given soil when it is six inches deep, its value when of different, depths will be as follows : — THE SOIL. 319 If 3 inches deep, it is worth 38 4 " 11 11 11 42 6 " " » " 46 B " " " " 50 7 " " " " 64 If 8 inches deep, it is worth 68 9 " ", " " 62 10 " " " " 66 11 " " " " 70 12 " " " " 74 Hence each farmer may make an estimate for himself, with regard to every variety of his soil, whether the cost of increasing its depth will equal or exceed its value after the task is performed. This, of course, supposes that the soil is of the same quality throughout its whole depth, and it refers only to its chemi- cal composition. There are other considerations which make the depth of the soil more important even than the above table will indicate. If a soil is equally rich through- out its whole depth, it would be of more than double value if of double depth ; for its ability to withstand drought, and its great capacity to absorb the water of heavy rains (with- out being made too wet) would made it better, irrespective of the elements of fertility that it might contain. Then again, some soils which are of apparently no value may be made quite fertile by being ploughed a little deeper than has been done. Table, showing the weight per cuhio foot of the different hinds of earth. Loose earth or sand. 95 lbs. Common soil 124 " Strong soil 127 " Chalk 174 " Clay. 135 lbs. Clay and stones 160 " Brick 125 " Note. — 23 cubic feet of sand, 18 cubic feet of earth, or 17 cubic feet of clay, make a ton. Eighteen cubic feet of 320 EXHAUSTION OF SOILS. gravel or earth, before digging, make 27 cubic feet when dug. As a rough estimate, it may be stated that an acre of or- dinary soil weighs 100 tons for every inch of its depth. EXHAUSTION OF SOILS. Each crop taken from a field exhausts the soil to the ex- tent of the inorganic or earthy substances that are found in the totality of the crop removed. Unless, therefore, these elements are returned to the soil in some shape it gradually loses its fertility, and finally refuses to produce altogether. Hence the necessity for manuring, irrigating, or resting the soil, that it may again, by accumulating these elements, re- cover its fertility. By returning a crop in toto to the soil, by ploughing it in or leaving it to decay and mingle again with it, it accumulates in mass and grows in fertility, not by the substances thus returned to it, but by fertilizing ele- ments gathered in or combined from the atmosphere, by rains and dews descending on it, and by capillary attraction from beneath. By knowing the composition of the subtracted crops and the added manures, the farmer can keep a debit and credit account with his fields, which will be sufficiently accurate to enable him always to keep his land improving. To enable him to ascertain approximately what his various crops remove from the soil, we introduce the following tables, &c. To EXHAUSTION OF SOILS. 321 b9. lb9. lbs. lbs. 50 387 15 90 60 378 21 77 58 447 15 40 58 434 23 23 53 389i 3i 70 64 367 22 40 54 390 4 JdknsUm. 51 ascertain what will replace this subtraction, let him consult the section on manures. Table, shomvng the orga/nic suhsicmoes removed from the soil in 1000 lbs. each of thefollowvng crops when perfectly dry. Carbon. Hydrogen. Oxygen. Nitrogen. Ash. lbs. Hay 458 Bed Clover Hay 474 Potatoes 440 Wheat- 461 Wheat- straw 484 Oats 507 Oat-straw. 601 Note. — Of all the vegetable productions which are gath- ered as food for man or beast in their dry state — Carbon forms nearly one-half by weight. Oxygen rather more than one-third. Hydrogen little more than five per cent. Nitrogen from 1^ to ^per cent. EaHhy matter from 1 to 20 ^e?* cent. Table, showvng the quantity of inorganic matter removed from the soil in 1000 lbs. each of the following crops in, their ordinary state of di-yness. lbs. Wheat about 20 Wheat-straw. Barley Barley-straw. Oats Oat-straw Eye Eye-straw Indian Com Indian Corn stalk, &c. 50 SO 50 40 61) 20 40 15 60 lbs. Beans about 30 Peas " 30 Pea-straw " 50 Meadow Hay " 50 to 100 Clover Hay. M 90 Eye-grass Hay. " 95 Potatoes " 8 to 15 Turnips " 5 to § Carrots " 15 to 20 14* Johnston. 322 EXHAUSTION OF SOILS. Tajble, showing the quantity, and Tcinds of inorganic matter removed from the soil in 1000 Tbs. each of the following crops. 2.2n A <2 i a 0.90 a 0.29 8 1 1 0.60 .3 0.10 ■s o ^1 Is Wheat— Gr&in 2.40 0.96 4.00 0.40 tract 11.77 '• Straw n nn 0.29 2.40 0.32 0.90 28.70 0.37 l.TO U.30 36.18 2.7S 2.90 1.06 1.80 0.25 11.82 .69 2.1C 0.19 trace 23.49 Straw 1.80 0.48 6.S4 D.7« 1.46,33.56 1.18 1.60 0.70 0.14 1.20 62.42 OatB— Grain ISO 1.32 0.86 [).67 0.14 19,76 0.35 O.70 0.10 O.40 26.80 " Straw 8,70 O.Oli l.ftU 0.22 0.06 45 8S 0.7fl 0.12 0.05 0.(12 0.02 57.40 Rye— firain 6.32 n.S2 o.n 1.22 1.76 0.44 0.12 0.24! 164 0.23 1.70 0.46 0.61 0.09 0.17 0.4'.: 0.34 10.40 '* Straw 0.25 22.97 27.93 Fieldl Bean Hean j Straw 4.16 s.u 1.C6 l.f,8 0.34 1.26 0.89 2.92 0.41 21.33 IR.Sfi O.iiO 6.24 2.09 O.n 2.20 0.34 2.26 0.80 COT 0.05 31.21 Fieldl Pea Pea J Straw «.10 7.39 0.68 1.36 o.2r 4.10 0.63 1.90 0.38 o.iu 24.64 2.35 4.028 2.334 27.30 .331 3.42 .824 0.61 .Ofi( U.96 .084 3.37 .640 2.40 .401 U.04 .160 0.2'. .032 0.07 49.71 8.284 FotatoM. Tops...::::: 8.19 .OS 12 97 1.70 .04 4.94 .42 1.97 .60 .02 30.84 2.3RB 1.04f .7fi2 .264 .036 .38S .801 .367 .239 .03:.' 6.303 Turnipa,. ^„;^\\\\\ S 23 2.2i 6.20 .65 .03 1.2S 2.62 .98 .87 .17 18.09 3.633 ?,.07a .922 .702 667 .468 .3S4 .270 .039 .024 .137 .162 .270 .192 .614 .100 .070 .178 .033 .005 .060 1 6.619 ParsnipR R;e Grass 4.180 8.81 19.95 &94 6.29 7. 34 27.80 0.90 3..1.05 6.7S 33.4! 3.06 1.90 14. 7J 3.63 6.06 2.11 0.63 91.32 13, 4C 6. If 4S. 3' 13.48 0.3C 3.3(1 4.04 13.07 3.1^ o.to 96 62 Sainfoin 20.67 4.37 21.95|2.88 0.66 6.00 3.411 9.16 1.67 1 69.67 Note. — In the foregoing table, the grain, beans, peas, straw, and hay, are estimated after they have been dried in the air; the roots as they have been taken from the field. The potato loses in drying 69 per cent, of water ; the turnip 91 ; the carrot 87 ; the turnip-leaf 86 ; the carrot-leaf, pars- nip, and parsnip-leaf, each 81 ; and the cabbage 93. Besides the organic elements present in each of the above crops, and which form about 97 per cent, of the entire dried weight of each, it is not only necessary that all the above * Included in potash. EXHAUSTION OF SOILS. 323 morgwnio substances should exist in the soil, but that they be also found in a form adapted to the wants of the grow- ing crop. Analysis of the Ash of the Hop, showing the elements it removes from the soil. In 100 parts there are of Vine & Blossom. Blossom. Silica 13.24 21.05 Chloride- of Sodium ... 7.73 " Potassium. 3.77 Soda. 0.13 Potash 21.49 25.18 Lime 34.79 15.98 Vine k Blossom. Blossom. Magnesia 4.09 5.77 Sulphuric Acid ^4.63 5.41 Phosphoric " 6.34 9.08 Phosphate of Iron 3.79 7.45 Chloride of Potassium. 1.67 Alumina a trace 324 EXHAUSTION OF SOILS. < The following tables, extracted from Waring's Elements of Agriculture, will be found convenient for ordinary com- putations : — Amount of Inorganic Matter removed from the soil by ten bushels of grain, tfec, amd hy the straw, c&c, required in their production — estimated, in pounds : Wheat 1200 lbs. Wheat Straw. Kye. 1630 lbs. Bye Straw. Potash. 2.86 1.04 .34 1.46 .08 .03 6.01 .14 8.97 .12 4.84 2.76 .94 4.20 2.22 .79 47.16 2.51 1.33 .56 1.18 .15 .11 5.64 .05 11.34 .20 5.91 • 1.58 .88 .05 2.49 .30 42.25 Soda Magnesia Oxide of Iron Sulphuric Acid Chlorine ' Silica 12 72 Hi 66 Com. leao lbs. Com stalks. Oats. 700 lbs. Oat Straw. Potash 2.78 .12 1.52 4.52 .06 6.84 19.83 6.02 4.74 .57 .36 12.15 1.33 19.16 1.69 .39 .64 .02 .66 2.80 .02 .18 12.08 3.39* 1.59 .78 1.41 1.07 1.36 20.32 Soda Lime Oxide of Iron Sulphuric Acid 9 71 6i 42 EXHAUSTION OF SOILS. 325 Buck •Wheat. Barley. 660 bbls. Barley Straw. aoooibs. Flax. Potash 1.01 2.13 .IS 1.20 .14 .26 6.40 .09 1.90 1.18 .96 1.00 .20 .01 6 36 .01 8.90 2 57 .23 3.88 1.31 .90 .66 1.25 .40 28.80 11.78 Soda 11.82 Lime 11.85 Ma({nesia 9.38 Oxide of Iron 7.32 Sulphuric Acid 3.19 Phosphoric Acid 13.05 Ghloriue 2.90 Sihca 25.71 Pounds carried off. 11 14 40 100 Beans. 1120 lbs. Bean Straw. Field Peas. 1366 lbs. Pea Straw. Potash 5.54 1.83 98.98 .28 .10 .16 7.80 .13 .18 36.28 1.09 13.60 4.65 .20 64 5.00 1.74 4.90 5.90 1.40 .81 1.30 .18 .64 5.50 .23 .7 3.78 Soda. Lime 43.93 6.50 Oxide of Iron 1.40 Sulphuric Acid 5.43 Phosphoric Acid 3.86 Chlorine .08 isihca 16.02 Pounds carried off 17 68 16 80 ITon Turnips. 635 lbs. Turnip Tops. 1 Ton Potatoes. 2000 lbs. Refl Clover. Potash., Soda Lime Magnesia Oxide of Iron Sulphuric Acid Phosphoric Acid. . . Chlorine Silica , Pounds carried off, 7.14 .86 2.31 .91 .23 2.30 1.29 .61 1.36 4.34 .84 8.61 .48 .13 1.81 1.31 2.36 .13 27.82 .93 1.03 2.63 .26 6.81 6.25 2.13 2.14 31.41 8.34 43.77 5.25 .23 7.05 10.28 5.86 6.81 17 15 50 118 326 EXHAUSTION OF SOILS. 2000 lbs. Meadow Hay. 2000 lbs. Cabbage. Water 9-10 Potash. 18.11 1.35 22.95 6.15 1.69 2.70 5.97 2.69 37.89 5 25 Soda 9.20 9 45 Magnesia.. , 2 70 Oxide of Iron 25 Sulphuric Acid 9 60 6.60 2.60 Silica .. 35 100 45 MANUEES. In order to restore to the soil the matters which have been taken from it by the removal of its produce, as well as to add to its power to produce — to make it richer, or to keep it from growing poorer — we make use of what are known as manures. This term is a very comprehensive one, and is taken to mean all substances — whatever their character or origin — which will have the effect of causing a larger growth of vegetation. Manures may be either Tnechcmioal or chemical in their 328 MANUEES. mode of aetion, or they may partake of both of these ch^, racters. For inst^ce, barn-yard manure is both mechanical and chemical in its effect. By reason of its bulk and its coarseness it loosens tlie soil and makes it more porous when mixed with it ; when it is used as a top-dressing it shades the ground, and protects it in a measure against the effect of frost and of too great heat ; being a very active absorbent of moisture, it modifies the effect of drought; its decomposition produces heat, and raises the temperature of the soil. All of these are mecTiMnicdl effects. On the other hand, it affords to the roots of plants sub- stances which enter directly into their structures, as chemical constituents ; it also yields various acids, alkalies, and salts which enter into combination with the constituent parts of the soil, and — in one way or another — make them more available as plant food. These are chemical effects. The v,se of Ma,nures. In the use of manures the farmer should be guided not only by the effect that will be produced on the immediate crop — although this is, of course, the first consideration — but quite as much by the condition in which the soil will be left for the production of future crops. Unless he does this he may find that, while he has reaped a temporary benefit, he has inflicted a lasting injury on his fields. It will be remembered that in our account of the soil it MANUKES. 329 was shown that the a^iount of mineral plant food that is actually present in the soil in an available form is extremely limited. In a state of nature, our fields would produce only such crops as could be fed by the small amount of this plant food which is rendered available from year to year, and there would be no diminution of production. On the contrary, the decay of the crop of one year would probably add to the supply available for the next year. The removal of the crop iy man, not the production of a crop which on decay returns its elements to the soil, is what impoverishes — is what makes the use of manure vitally necessary on all but virgin lands. The larger the crop — provided it decays on the land — the more the fertility of the soil is increased. The larger the crop — provided it is removed from tJie land — the more the fertility of the soil is diminished. If the crop is made larger by the use of manure, and is removed from the land, the manure has caused a larger amount of mineral plant food to be taken away. But if the manure itself contains the full equivalent of what enters into the crop, and so makes up for its drain upon the soil, there will be no impoverishment. If, on the other hand, the manure does not contain the equivalent of the ash-constitu- ents of the crop, but has only stimulated it to take an extra supply from the soil, the injury is obvious. In some cases, a soil that will produce 10 bushels of wheat without manure will produce 25 bushels if dressed with 100 330 MANUEES. lbs. of sulphate of ammonia. The extra 16 bushels con- tain about 18 lbs. of mineral matter more, which was sup- plied by the manure, and this is equal to one and a half year's supply for the natural crop of the land. The effect of this sort of farming is that the soil is made to produce more than it can afford to in one year, and has its supply of mineral plant food exhausted to the detriment of its future productiveness. Twenty years ago, the wheat lands of Delaware, which had been producing very small crops, were' made, by the use of very small doses of Peruvian guano, to double, triple, even quadruple their yield. The farmers were immensely elated. They had found a sort of philosopher's stone, and a few years would make their fortune. Alas for their hopes — a very few years demonstrated the fact that the guano had been a curse rather than a blessing. Their lands were poorer than ever, and even largely increased doses of the specific were powerless to bring them up even to their old stan- dard. Had the wheat and straw been consumed on the farm, and all of their mineral constituents returned to the soil, the guano would have been a means of great permanent improvement. Or, had the same increase of production been effected by the use of a manure containing the full equivalent of what the crop was to take from the soil, the impoverishment of the land would have been prevented. MANURES. 331 The foregoing is intended to convey the fundamental ideas ■which we should bear in mind in deciding what manures we are to use, and in what quantity. It is quite impossible to establish any set of rules which shall be an exact guide for all cases, but the following are always a safe guide : — 1. Apply in the manure the full quantity of the different ash ingredients of the crops that wiU he produced before •ma/nwre will he applied again. 2. Procure from, abroad maoiure containing the full quantity of the different ash ingredients of all produce sold from the farm, amd allow none to he wasted at home. A close adherence to these two rules, accompanied by good cultivation, and the draining of such land as needs draining, will make any farmer rich who exercises ordi- nary judgment and prudence in the management of his affairs. To speak with scientific accuracy, it is not necessary to return quite all that the crops take away. The processes by which soils were originally formed being still in operation, there is a constant fresh development of plant-food in the ground, and this will, in greater or less degree, compensate for the loss by the removal of crops. Practically, however, it is best to place this development of fresh matter to the account of improvement, and, by making up the full amount df all removals, to make sure that the land is constantly growing better instead of worse. As want of space forbids a more full discussion, of the 332 MANUKES. established theories concerning the use of manure, the atten- tion of the reader is called to the following : — Classification and description of manures. Manures naturally divide themselves into such as are of mineral, of vegetable, and of animal origin. Mineral manures are such as originate from various mineral substances, such as lime, which is the product of limestone, marble, chalk, or marl, after the carbonic acid has been expelled by an intense heat; marls, which are composed of carbonate of lime, mixed with clay, sand, or loam; shell sand, calcareous sand, green sand marl, gyp- sum, phosphate of lime, salt, and salts of various kinds, &c. Vegetable mamv/res are such as are produced from de- composed vegetable matters, which also contain some of the inorganic or mineral substances. Animal manures consist chiefly of the flesh, blood, bones, horns, and hair of sea and land animals, and of the solid and liquid excrements of land animals and birds, and also con- tain some of the inorganic or mineral matters. Analysis of Fish Ouano. ■Water expelled by 212° heat. . 8.06 Sand 0.33 Oil 2.40 Organic Matter 50.72 Super- Phosphate of Lime 9.85 Sulphate of Lime, Hydrated. . . 19.62 Sulphate of Magnesia O.Tl " Potash 2.0.5 " Soda 2.42 Chloride of Sodium 1.12 Sulphate of Ammonia ■■ ■ 2.? 2 Br. Apjohn. MANTJEES. 333 Analysis of Perii/oia/n. Ouamo. In every 100 parts there are of Organic Matter, contaiaing Nitrogen, Including TIrate of Ammonia, and 1 capable of affording from 8 to IT per cent of Ammonia, by slow}- 50. change in the soil ; Water 11- Phosphate of I/ime 25 . Ammonia, Phosphate of Magnesia, Phosphate of Ammonia and Oxa- ) ^g late of Ammonia, containing from 4 to 9 per cent, of Ammonia . . . . ) Silicious matter from the crops of birds 1. Dr. Ure. Another analysis. "Water 13.09 Organic Matter, containing Ammonia 53.11 Common Salt and Sulphate of Soda 4.63 Carbonate of Lime 4.18 Phosphate of Lime and Magnesia. 23.54 Silicious Matter or Sand 1-39 Johnston. Professor S. W. Johnson publishes the following table : — Analysis of Peruvian Ouano. ■Water ] Organic Matter | Ammonia, potential " actual Phosphoric, Acid soluble in water Phosphoric Acid insoluble in water ...... Sand, &c., insoluble in acids Phosphate of Lime, equivalent to total S- Av. Phosphoric Acid . 66.32 5.82 8.93 4.69 10.05 1.69 65.18 5.95 9.08 3.64 10.50 1.52 21.28 II. 12.63 52.27 -16.03 -15.19 12 . VO 51.46 15.98 14.08 2.45 2.6 31.69 IIL -68.00 68.10 ' i 17.8618.85 IV. 59.46 16.32 Analysis of Boli/oian Ouano. ■Water ; 6-91 Organic Matter containing Ammonia 55.52 Common Salt and Sulphate of Soda 6.31 Carbonate of Lime v ^-87 Phosphate of Lime and Magnesia 25.68 Silicious Matter or Sand.. l.Tl Johnston. 334: MAHTJEES. Note.— The guano of the Lobos Islands is from 25 to 33 per cent, less valuable than the above. How to select a good a/rticle of gucmo. 1. The drier the better — there is less water to pay for and transport. 2. The lighter the color the better — it is the less com- pletely dissolved. 3. If it has not a strong ammoniacal smell, it ought to give off such a smell when a spoonful of it is mixed with a spoonful of slaked lime in a wine-glass. 4. When put into a tumbler with water and stirred well, and the water and fine matter poured off, it ought to leave but little sand or stones. 5. "When heated to redness over a fire or bright flame, until the animal matter is burned away, the ash should nearly all dissolve in dilute muriatic acid. 6. In looking at the printed analysis (which almost all dealers furnish), see that the per cent, of water is small ; that the organic matter containing ammonia approaches to 50 or 60 per cent. ; that the phosphates do not exceed 20 per cent., and the common salt and sulphate of soda do not ex- ceed 5 or 6 per cent. — Johnston. Row to Apply Gucmo. — From 200 to 500 lbs. per acre is a proper dressing, the largest quantity being required for the more sterile soils. Mix it thoroughly for a few days with five times its bulk of vegetable mould or loam and some MANURES. 335 charcoal or gypsum, after breaking the himps and' sifting in alternate layers. Avoid the use of ashes or lime, as they tend to expel the ammonia. Keep it under cover, beyond the reach of water or rains, until used. It may then be scattered broadcast upon meadows or graimj, or placed near the seeds or young plants in the hill. Analysis of lone {crushed) manwre. In 100 parts, there are of Carbonate of lime 3.t6 Fluoride of Calcium 3. Gelatine (the substance of horn) 33.25 Lime 55.5 Phosphate of Magnesia 2. Soda and Common Salt 2.6 Table, showing the comparatvoe value of animal manures, with farm-yard manure as the standard. 100 lbs. farm-yard manure is equal to 125 lbs. solid excrements of the cow. 73 ' ■' 91 ' ' liquid 16 ' ' " 98 ' mixed 54 ( (( 36 1 11 64 ' ( i( cow. 3 lbs. Dry Flesh. horse. 5 " Pigeon's Bung. cow. 15 " Liquid Blood. horse. 4 " Dry Blood. cow. 3 " Feathers. horse. 3 " Cow Hair. sheep. 3 " Horn Shavings. pig- 3i" Dry Woollen Bags. Johnston Note. — The most powerful substances in the above table, viz., dry woollen rags, horn shavings, cow hair, feathers, &c., hold little or no water, and contain the fertilizing elements of the others in very compact forms. They show less *m- msdiate sensible effect upon the crop than the others, because, being so dry and compact, they are long decomposing, but continue to evolve fertilizing matter long after the softer and more fluid manures have spent their force. 336 MANHKES. Decom,jposed vegetables as mcmure. The characteristio distinction between animal and vege- table manures lies in the fact of the former containing a much larger proportion of nitrogen than the latter. There are two grounds upon which the relative values of different vegetable substances as manures may be estimated. First, from the quantity and kind of inorganic matter they contain. Second, from the proportion of nitrogen present in each. Table, showing the relative values of decomposed vegetables as manures, from the inorganic matter they contain. Inorganic Matter, lbs. lbs. ton Wheat Straw made into manure returns to the soil 70 to 3fi0 " Oat " " " " " 100 to 180 " Hay " " " " " 100 to 200 " Barley " " " " " 100 to 120 " Pea " " " " " .100 to 110 " Bean " " " " " 100 to 130 "Rye " " « • « » 50 jq 100 " Dry Potato-tops " " " " 400 " Dry Turnip-tops " " " " 370 " Rape Cake " " " " 120 " Malt Dust " " " " 180 " Dried Seaweed " " " " 560 Johmion.- Table, showing' the relative values of decomposed vegetables as manures, from the nitrogen they contain. 100 lbs. of farm-yard manure is equal to 130 Ibg. Wheat Straw Manure. 150 ' Oat 180 ' Barley " 85 ' B'kwh't " 45 ' Pea 50 ' Wheat Chaff 80 ' Green Grass 75 ' Potato Tops 80 lbs Fresh Seaweed Manure. 20 ' Dried " " 26 ' Bran ofWheatorCom " 13 ' Malt Dust " 8 ' Rape Cake " 250 ' Pine Sawdust- " 180 ' Oak 26 ' Coal Soot " \ MANUKES. 337 Notes. — The immediate effect of vegetable manures in hastening the growth of plants is dependent, in a great measui-e, upon the quantity of nitrogen they contain, which is given off chiefly in the form of ammonia during their decay in the soil, and may be nearly exhausted in a single season. Their perma/iient effect and value is to be estimated by the quantity and quality of inorganic matter they contain, or ash they leave when burned, and may not be exhausted for several years. Besides' inorganic matters and nitrogen, there are other ingredients in vegetable manures which are necessary to the sustenance and growth of plants. Each of the elements present in decayed or decaying plants is capable either of ministering to, or preparing food for such as are still alive. • All refuse vegetable or animal matter on a farm, such as straw, leaves, vegetable tops, chips, sawdust, ashes, dead animals, bones, horns, hoofs, entrails, &c., &c., should be carefully saved and composted, or otherwise made into manure for the use of the farm. Analysis of a manure heap in the condition usuall/y ap- plied to the field. Fresh. Water 64.96 Orgauio Matter 24.71 Inorganic Salts 10.33 15 Dried at 212°. Carbon 3'7.40 Hydrogen 5.27 Oxygen 25.B2 Nitrogen ].76 Ashes (inorganic matter) ...... 30.05 338 MANURES. Inorgctnio matters. Soluble in Muriatic AcicL Smca 21.01 Phosphate of Lime 1.11 " Magnesia. 2.26 " Iron 4.68 Carbonate of lime. 9.34 " Magnesia 1.63 Sand 30.99 Carbon 83 Alkali andloss 3.14 86.99 Soluble in Water. Potash 3.22 Soda 2.13 Lime 0.34 Magnesia 0.26 Sulphuric Acid 3.21 Chlorine 3.16 SUioa '.... 0.04 13.01 86.99 Bichardson. 100.00 Analysis of other specimens of fresh farmryard manures. Farm jard Manure Farm-yard Maniire From Kent. From SurreT.*^' Per centage of Ash Silica Potash Soda Lime A Magnesia Common Salt Phosphate of Iron " Alumina Sulphuric Acid Phosphoric Acid From Kent. 9.2 70.79 8.32 0.92 6.90 0.66 1.43 2.04 1.63 1.89 1.68 trace 90.96 From Surrey. 9.6 71.32 5.14 1.68 12.32 0.82 1.22 2.03 2.54 1.67 1.27 99.91 Allen fy Oreenhm. Composition of fresh farm-yard manure (composed of horse, pig, and cow dung, ahout fourteen days old). Analysis made November 3, 1854, by Dr. Augustus Voelcker, Professor of Chemistry in the Eoyal Agricul- tural College, Cirencester, England : — MANUBES. 339 "Water 66.17 * Soluble organic matter 2.4:8 Soluble inorganic matter (ash) — Soluble silica (silicic acid) 237 Phosphate of lime. 299 Lime 066 Magnesia OH Potash 573 Chloride of sodium 030 Carbonic acid and loss 218 IM f Insoluble organic matter 25.76 Insoluble inorganic matter (ash) — Soluble silica ( ,nicic acid I ^67 Insoluble silica { ) 561 Oxide of iron, alumina, with phosphates. .596 (Containing phosphoric acid, .178) (Equal to bone earth, .386) Lime .....r. 1.120 Magnesia 14:3 Potash 099 Soda 019 Sulphuric acid .061 Carbonic acid and loss 484 4.05 100.00 * Containing nitrogen 149 Equal to ammonia .181 •f Containing nitrogen 494 Equal to ammonia -599 Tlie whole manure contains ammonia in a free state 034 ■1 ■ 1.1 and fluoride of calcium ) 1000. Benelms. Urea is a solid product of urine, and gives in 100 parts- Carbon . . Oxygen . 19.99 1 Hydrogen. 6.66 26.63 I Nitrogen 46 6S JProut. THE DKY EAETH SYSTEM. It has long been a difficult problem to decide in what way to dispose of human excrement so as to make use of its invaluable ingredients as manure, and, at the same time, to avoid the offensiveness which attends its management in China and Japan, and in all countries where it is habitually- applied to the soil. This problem has at last found a satisfactory solution in the invention of the Eev. Henry Moule, Vicar of Fording- ton, Dorsetshire, England. This invention is based on the power of common soil, when dried and sifted, to absorb, not only the moisture of human excrement, but its odor as well. This power of absorbing odors is due to both the clay and the decomposed organic matter in the soil. It was first discovered, or at least first satisfactorily explained, by Prof. "Way, chemist to. the Koyal Agricultural Society of England, whose interesting experiments on the subject are detailed in the Society's Journal. It is odd that this easy means of arresting the ofiensive exhalations of human excrement was not long ago generally adopted. We have a practical illustration of this use of earth in the case of animals of the feline race, whose de- jections are extremely offensive. They turn and carefully cover these with earth. In the adhesion of the world to many of the tenets of the Mosaic law, it is strange that we have overlooked the sound advice given in the 12th and 348 MANTJEES — THE DET EAETH SYSTEM. 13th verses of the xxiii. chap, of Deut., where we read, " Thou shalt have a place also without the camp whither thou shalt go forth abroad ; and thou shalt have a paddle upon thy weapon ; and it shall be when thou shalt ease thy- self abroad, thou shalt dig therewith and shalt turn back and cover that which cometh from thee." Mr. Moule's invention issusceptibleof many modifications. The apparatus which he has devised, and which is coming into quite general use in England, especially in detached country houses and cottages, where there is no supply of water for water-closets, consists of a hopper-shaped reservoir behind and above the ordinary water-closet seatf or holding the supply of dry earth, — this forms a back ; a water-tight vessel or vault under the seat ; and a mechanical arrangement for measuring out the proper quantity of earth (about a pint and a half) and throwing it forward upon the evacuation, which it entirely covers while it absorbs all the moisture. This apparatus is simple, inexpensive, not liable to get out of order, and cannot be obstructed by frost. A modification of the same, still more simple, cheap, and equally effective, though much less convenient, consists of a tub or box (filled with dry earth) at the side of the seat, and a common tin scoop with which to throw the earth upon the deposit. , This pkn is being generally adopted in the prisons and workhouses of England and the British colonies. In fact, any vessel containing two inches or more of sifted, dry earth, and a second vessel containing a supply MANITEES — THE DEY EAKTH SYSTEM. 349 of earth and a scoop or cup with which, to handle it, will answer a good purpose on emergency, and will enable the poorest person not merely to mitigate but to absolutely overcome the most offensive accompaniment of sickness.* While this invention offers relief from untold misery and annoyance to all who cannot conveniently establish water- closets in their houses, its agricultural importance makes it especially interesting to farmers. It is a fact too well known to need discussion in our lim- ited space, that of all manures none are at once so powerful and so well adapted to the growth of all crops as " night- soil," or human excrement, though its highly offensive character has generally prevented its use, and has associated with it an idea of degradation. In most parts of the coun- try farm-hands would leave their places rather than to have anything to do with the stuff; and where it is commonly used, it is made a nuisance to wide neighborhoods. By the aid of the dry earth system every real and fan- cied objection to its use is done away with. The mixed earth and " soil," when dried and pulverized, are absolutely without other smell than that of freshly turned earth ; and, although every atom of fertilizing matter has been retained in a most available form, there is nothing by which, from either appearance or odor, its character could be suspected. The most remarkable part of the whole matter is, that * For more particular information on tliis subject, the reader is referred to a pamphlet entitled " Earth Closets, how to make and how to use them," pub- lished by the N. T. Tribune Association. 350 MANURES ^THE DRY EARTH SYSTEM. when the ordm-e is once decomposed and (by sifting) inti- mately mixed with the earth, it has the same quality as any other decomposed organic matter, i. e., it acts as a deodori- zer. Consequently, the same earth (by drying and sifting) may be used over and over again, always (at least up to the eighth or tenth time of using) being inodorous and as good a disinfectant as fresh earth ; therefore the quantity of earth which it is necessary to prepare and store need not be very large, and it may be made so rich as to be equal to Peru- vian guano' in its effect on vegetation. In short, in the opinion of the writer, who has had per- sonal experience in tlie iise of the apparatus, in " sickness and in health," the adoption of the dry earth system is " the coming reform." Table, showing the comparative increase of corn hy different fertilizers. QDAunir or rEBTiiJZBB. No Manure 500 lbs Superphosphate of Lime 3,C90 '• Guano , 4 300 " Superphosphate Lime & 640 1 be. Guano 61320 " Guano and 640 lbs. dissolved Bones . . 6ll040" Guano & 400 lbs. Superphosphate Lime 7:16 loads Stable Manure , 8j32 " '• '' & 200 bus. leached Ashes... " & 640 lbs. Super P Lime.. . " & 320 lbs Guano & 1320 ibs ) I Superphosphate Lime . { 12!Hog mfinuro from 108 bus. corn 9;i6 10 16 I1I32 a % «■> A tf !i " « i B-S rt a ^' g 28 B " $ 46 18 12 CO 50i 22i 19 00 58 30 25 10 61 23 18 40 u\ 46f 38 60 35 423 7J 16 00 14^ 32 00 41 8 12 00° 49^ I4i 17 80» 60 1"} 10 BOO 43 m 16 20 cog cd « -, o t- S bus qrts. 14 6 C| 8 6J 15 Hi 2if 30 Only the increase over the experiments 7 and S with stable manure alone. MANURES. 351 All tables showing the comparative effect of different manures are of very problematical value. There are so many circu|nstanees and conditions of soil, climate, expo- sure, moisture, previous treatment of the land, &c., &c.— all of which affect, more or less strongly, the amount of the crop— that it is never possible (in the light of our still imperfect knowledge concerning the growth of plants, and their relations to the soil) to decide how far any increase or decrease may be due to the manure used, and how far to other caiises. Table, showing the efect produced upon the quantity of the crop hy equal quantities of different manures appUed to the same soil, sown with an equal quantity of the same seed. » Betum in bushels from each bushel of seed. Manure applied, "WTieat. Barley. Oats, Rye, Blood 14 16 12^ 14 Night-goil. 13 14i 13i Sheep-dung 12 16 14 13 Horse-dung 10 13 14 11 Pigeon-dung 10 12 9 Cow-dung Y 11 16 9 Vegetable manure 3 7 13 6 Without manure 4 5 4 Moisture absorbed by different manures. 1000 parts horse-dung, dried in a temperature of 100° Fahrenheit, absorbed by exposure to the air at a temperature of 62° Fahrenheit, moisture, parts 145 1000 parts cow-dung, under same circiimstances, " 130 1 352 MANURES. 1000 parts pig-dung, under the same circumstances,parts 120 sheep-dung, " 11 (( 81 pigeon-dung," " " ii 50 . " rich alluvial soil, " i( ii 14 " fresh tanners' bark, " (1 (( 115 putrified " " « a 145 " refuse marine salt, " ee ii A^ " soot, " CC (I 36 " burnt clay, " (( « 29 " coal ashes, " tC (( 14 " lime, ^ " (( u 11 " sediment from salt-pans, " " 10 " crushed rock-salt. a ti 10 " , gypsum. * 1. Linseed cake 88.0 7,00 4.92 1.65 4.75 1,971 156.8 110.3 S7.0 106.4 19,72 2. Cotton-Beed cake 89.0 8.00 7.00 3,12 6.50 1,994 179.2 156.8 70.0 145,6 27.86 3. Rape cake 89.0 8.00 5.75 1.76 5,00 1,994 179.2 128.8 39.4 113,0 21,01 4. Limeed ., 90.0 4.00 3.38 1..57 3,80 2,016 89.6 75.7 80,7 86,1 16,65 5. Beans 84.0 3.00 2.20 1.27 4.00 1,862 67.2 49.3 2S,4 89,6 16,75 6. Peas 84.5 2.40 1.S4 0,96 3.40 1,893 53,8 41.2 21.5 76.2 13,38 7, Tares 84.0 2.00 1.03 0.06 4.20 1,892 44.8 36.5 14,8 94.1 16.75 8. lentils 88.0 3.00 1.89 0.96 4, SO 1,971 67.2 43.3 21,6 96,8 1«,61 9. Malt dust 94.0 8.50 6.23 2.12 4.20 2,106 190,4 117.1 47.5 94,1 18.21 10. Locust beans 85.0 1.75 1,25 1,904 39,2 28.0 4,81 11. Indian meal 88. l.SO 'ilis' 6;.S6 1.80 1,971 29.1 "25!.3 '•r'-s 40,3 0,65 13. Wheat 85.0 1.70 1.87 0.60 l.SO 1,904 38.1 43.0 11.2 40.8 7,08 13. Barley 84.0 2.20 1.S5 0.55 1,65 1,862 49.3 30,2 12.3 37.0 6,13 14. Malt 95.0 3.60 1.60 0.66 1.70 2,128 58.2 85,8 14.6 38.1 6,65 15. Oats 8«.0 3.85 1.17 0.60 2,00 1,926 63.8 26.2 11.2 44,8 7.70 IC. Fine pollard* 8fi.O 5.60 6.44 1.46 2,00 1,920 125.4 144.2 32.7 68.2 13.53 17. Coarse poUardt. 86.0 6.20 7.62 1.49 2,58 1,926 1E8.9 168.4 .53,4 67. 6 14, £6 18. Wheat bran 80.0 6.60 7.95 1.45 2,55 1,926 147,8 178.1 32,5 67.1 14,59 IS). Clover ha^ 84.0 7.50 1.25 l.EO 2.50 1,8S3 168.0 28.0 39.1 66,0 9.64 20. Meadow hay |8-1.0 6.00 0.88 1.50 1.50 1,663 ,134.4 19,7 .33.6 33,6 6.43 21. Bean straw |82.6 5.55 0.90 1.11 0.90 1,648 124.3 20,2 24.9 20.2 3.87 S3. Pea straw 82.0 5.95 0.65 0.89 1,837 133.3 19.0 19.9 20.2 3.74 V\ Wheatstraw. iM.O 5.00 0.05 0.65 oieo 1,662 112,0 12.3 14,6 13.4 2,68 3-1. Barley straw '85.0 4.50 0.37 0.63 0.50 1,904 100,8 8.3 14.1 11.2 225 25. Oat straw 83.0 5.50 0.48 0.930.00 1,859 123.2 10.7 20,8 13.4 2.90 21). Mangel wurzel 13.5 1.00 0.09 0.26 0.25 280 22.4 2,0 5.6 6.6 1,07 S7. Swedish turnips 11.0 0.68 0.13 0,18 0.23 ■ 246 13.4 2.9 4.0 4.6 ill 2S. Common turnips | 8.0 0.68 0.11 0.29 0.18 179 15.2 2.5 6.5 4.0 O.fO 2(1. Potatoes 24.0 1.00 0..S2 0,43 0,85 637 22.4 7.2 9.6 7,8 l.SO ro. Carrots 13.5 0.70 0.13 0.23 0,20 802 15.7 2.9 5.1 4,5 0.80 31. Parsnips. 15.01.001 0.42 'O.EO'O 23 836 23.4' 9.4 8.1 4.9 1.14 * Middlings, Canielle. + Shipstuff. 16 • TILE DRAINING. I have preferred to head this article as I have, rather than to say simply " draining " or " under-draining," because I believe in the use of tiles under all circumstances when it is possible to procure them, and because the making of stone drains is understood by every farmer who lives in a region that is blessed with wet land and stone. At the same time, I would not be thought to undervali;e the usefulness of stone drains. Neither the stone nor the tile has any influence, in itself, on the. fertility of the soil. Any material by the use of which we can make a passage- way through the soil will make a perfectly good drain, as liong as it keeps the passage open. The question is to be decided simply by the consideration of cost and durability ; and here the tiles have an immense advantasje. In the first place, they are very much chearper than stone ; and in the second, the drain which they make is very much more likely to be permanent. It will, I am aware, strike many farmers whose land is, encumbered with stones, as a singular proposition that it is cheaper to pay twenty-five or thirty dollars per acre for tiles, when there are stones on the place that it would be an ad- vantage to get rid of But it is a fact, nevertheless. The TILE DEAININO. 363 cost of collecting the stones, of breaking (or selecting them) to a proper size, of laying them in the drain, and of pro- tecting them from the rattling down of loose dirt among them, and from the burrowing down of field-mice, is very- great, and in addition to this we have to calculate the cost of digging the very much wider ditch that is required for their use. To drain land in the best manner there are required about sixty rods of drain four feet deep, and fifty cents a rod for the above items (which is the utmost that tile should cost) would not pay one-half of the actual cost of stones, if we calculate the labor of teams and men at anything approach- ing their full value. As to durability. A tile drain, when properly laid, is pack- ed closely in the most compact subsoil within our reach, has its joints (which are very close) encased in an earthen collar, is closed at its upper end by a flat stone against the tile, and its outlet secured by a grating. No dirt can get in to stop it up, and no vermin can use it for a camping ground. The only thing (except in rare instances the roots of trees) that can enter it at all is the water that it is intended to carr^' away. Of course I speak of a tile drain that is made of good materials and is made in a proper manner. It is very easy to make a drain that will not be worth the cost of the tiles, not worth anything ; and many such drains are made by careless or ignorant people, who, seeing their uselessness, ^"^ TILE DEAIHING. are loud in tlie praise of stone drains, and never want to see anotlier draining tile so long as tliey live. A good tile-draiu, made of good clay and well burnt, properly laid on a uniform descent, and liming a good out- let, is practically as permanent as the earth in which it is imbedded. And now, how to make such a drain. It would take much more than the few pages that can be here devoted to the subject to tell. All that my space will allow me to do is to give a few general rules and directions, which will suf- fice to enable a farmer to understandingly decide for himself whether he will make his drains of stones or of tiles; and a few arguments which may convince him that he cannot afford to let his wet land go undrained. The draining tile is made in several forms, known as the " round,'^ the " sole," and the " horse-shoe." The last men- tioned represents the first step that was taken in advance of the use of stones, and it has long been condemned as an in- ferior article by all who have had experience in the use of the other kinds. The sole-tile^ which has an egg-shaped ori- fice, and has a flat side to lie upon, is theoretically very good, and is really very good, only not the best. The flat side is a delusion, for the reason that it generally is not fiat, being very liable to be warped out of shape in the burning, while the uneven drying of the clay before it is burnt, or the friction of the die through which it is moulded, is very apt to so distort its shape as to make it diflBcult to make a good joint. TILE DRAINING. 365 The round tile, if well made, is much better, is pi-actically perfect. A tile does not need a flat side to lie upon, for in nine cases out of ten the bottom of the ditch is not flat, and as soon as each piece is put in its place, and while it is held there by the tile-layer, a second man covers it sufiBciently to hold it firmly. The smaller sizes have collars or rings to fit them, and these keep the joints " in line " and prevent loose dirt from rattling into the wider openings. ■ Another great ad- vantage of the round tiles is that, if they don't fit each other as they are first laid, they can be turned over until the slight inequalities of the two ends will correspond. All of the larger tile makers now make the round tiles, and most of them make them very well. A machine in- vented by Mr. Tiffany (of the Crosmann Clay and Manufac- turing Company, Woodbridge, New Jersey) moulds the tiles more smoothly, and presses them harder, than any other yet brought into use. Mr. C. W. Boynton, of "Woodbridge, however, seems to have brought more real talent to the manufacture of tiles than any one else who has under- taken the business, and his pipes are probably the best now made, inasmuch as they are two feet ^ong — twice the usual length — and are supplied with connecting pieces for admit- ting lateral drains into the main trunk lines. Heretofore it has been the custom to pick a hole in the side of the tile of the main drain, and to bring the end of the lateral against it, closing the irregular openings by covering them with bits of broken tile or small stones ; and it was nice work to 366 TILE DBAINnirG. avoid breaking the pipe, and at the same time to make the joint so accurately as to neither retard the flow nor to admit earth from the filling. Boynton's pipes, -which are shown in the accompanying cuts, have a branch piece nicely fitted to the side of the pipe that is to form a part of the mkin, the branch forming a part of the lateral. On the end of this branch a collar may be placed to receive the end of the lateral, making as good a joint at the junction as at any other part of the drain. Before this improvement was made, it was often neces- Barj", where a tile came into the main, to make a silt-basin to catch any silt that might be deposited by the more S'lug- gish flow of the water at that point. By its aid these silt- basins may be, in nearly all cases, dispensed with, as the lateral enters in an oblique direction, and the velocity of its flow will be imparted to that of the main. Eie. L Fia. 2. Fia.S. Fig. 1 shows the round tile ; Fig. 2, the collar ; Fig. 3, the manner of laying these ; Fig. 4, the connecting joint of the TILE DRAINING. 367 main with a branch to receive the lateral ; and Fig. 5 the Via. 4. manner of laying the tiles at the junction of a lateral drain with the main. Fis. 5. Hules to he observed in making Tile Drains : — 1. EvGiy drain (unless there is some special reason to the contrary) should run directly down the steepest de- scent of the land — not obliquely, but straight down the hill. 2. Wherever possible, the drains should be four feet deep, especially when the subsoil is a stiff clay hard-pan. 3. When the drains are four feet deep, they should be forty feet apart. If only three feet deep, they should be only twenty feet apart; and if more than four feet, they may safely be placed at greater distances than forty feet. 368 TILE DEAINING. i. The rate of fall or inclination of a drain should not de- crease as it approaches the outlet. It may be increased as much as is convenient. The rule is, to keep the water run- ning faster and faster, rather than slower and slower, as it gets on in the drain. 5. The outlet should always be clear and free — never, if it can possibly be avoided, so arranged as to be obstructed by mud or dead water. 6. The tiles should have' no porous material of any kind over them, but should be imbedded (and firmly packed) in the closest clay that is accessible. 1. In digging the ditch, always commence at the lower end and work toward the top ; in laying the tiles, commence at the upper end, and continue toward the outlet. 8. Never have tiles laid by the piece (or rod), but al- ways by the day, and by the most faithful and careful man that can be found ; if possible, do it yourself, and remem- ber that the golden rule of draining is that, as the weakest link of a chain is the measure of its strength, so is the worst laid tile of a drain the measure of its goodness* If the drains are laid at distances of forty feet it will take just about one thousand feet of tiles to drain an acre. As to the sizes of tiles required, it will make a difference whether the faiU is rapid or slight ; but under all ordinary circumstances, where there are no springs to be disposed of, only the natural drainage of the land itself (its accumulated * Talpa, or the Chronicles of a Clay Farm. TILE DEAINING. 369 rain-fall), the first 1600 feet in length, whether it be a single drain or several laterals, may be made of the smallest sized tiles (1|- inch). Beyond this amount and up to 5000 feet, 2-ineh tiles will suffice. From 5000 to 10,000 feet use 3- inch, and from 10,000 to 20,000 feet use 4-inch. These sizes would not suffice for the immediate i-emoval of all the water of a very heavy rain-fall, but it is to be re- membered that before the water can get to the tiles it must filter slowly through four feet of soil, and could reach the drain but slowly, were it ever so large. Then again, it is not important that the water of a heavy rain be removed within an hour of its falling ; it does no harm to have it settle slowly away, so long as it really does settle away, and does not stand to be evaporated from the surface, nor to flow off" over it ; and it is desirable that the drains should occasionally run "more than full," so that a strong flow of water may wash out any obstructions that may have accu- mulated in them. The question should not he so much how large a tile is necessary to carry the water, as how large a tile will the water {after heamy rami) he able tojhish and keep clean. In the foregoing, I have simply stated rules and principles which have been proven by long experience to be correct. The'evidences of their truth and reliability, and the argu- ments on which they are founded, could not be set forth in the limited space which has been allowed for the subject in this book. The object here is to set forth rules and to give 16* 370 TILE DEAINING. Fig. 6. Tools nsed in laying drain tile. TILE DEAININGi 371 directions. Those who are desirous of investigating reasons will find them stated in other works which are devoted to the fuller discussion of the various topics here touched upon. The ditches are usually dug, in this country, with the or- dinary pick, spade, and shovel, with the single addition of a narrow scoop to work in the narrow bottoms of the drains. Such a scoop may be made by cutting a common, round- pointed, long-handled shovel down to a width of four or five inches. In Europe, where much more extensive operations of drainage are carried on than are known in this country, sets of tools especially adapted for all the diiferent operations are used. One set of these is shown in Fig. 6. Fig. 7. The position of the workman in cutting a narrow ditch 372 TILE DEAINING. for a tile, or rather in finishing the bottom of the ditch with the scoop, is shown in Fig. 7. The manner of secm-ing the outlet so as to keep out ver- > Via. 9. mm, and, at the same time, to prevent the earth from caving in about the end of the drain, is shown in Fig. 8. WHT SHOULD LAND BE DEAINED ? 373 The manner in which draining tiles are moulded from moist clay may be learned from Fig. 9, which represents a strong wooden box filled with clay, which, by the pressure of a lever, is forced out through 'holes which have the shape of the outside of the tile. A plug stands in the middle of each hole (supported from within, so that the clay can en- tirely surround it as it comes out), which makes the bore of the tile. WHY SHOULD LAND BE DEAINED? There is one condition of soil that is the most favorable for the growth of nearly all agricultural plants— that is a condition of irorousness, moisture, warmth, and aeration. The roots of plants need to be.in a dark place, to be sur- rounded hy moisture (tliis is very different from being soaked in water), and to be sufiiciently supplied with air. There are other conditions of fertility, such as ^richness in plant-food, &c., which, although of the utmost impor- tance, are apart from our present subject. "What we have now to do with is the meGhanioal state of the soil, as dis- tinguished from its chemical composition and action — that is to say, with its moisture, its temperature, the ease with which roots can penetrate it in search of nutriment, and the opportunity for the admission of atmospheric air to their vicinity. The effects of drainage on the chemical constitution of the soil, and on the chemical action of its ingredients as 374: WHY SHOULD LAND BE DBAINEDI aifecting vegetation, is very great ; but it is not necessary to the strength of the argument that they should be detailed here, and their sufficient .discussion would require too much space. Moisture. By the moisture of the soil we mean a condition resem- bling that of a sponge which has been dipped in water and then lifted out and allowed to drain. "While in the water it was saturated — that is, all of its pores were filled with water — but on being removed the water all runs out from its pores, except the small amount that adheres (by capillary attraction) to its substance. In like manner the undrained soil, after a heavy rain, is saturated. All of the spaces between its particles are filled with water. After draining, this water all passes away, except the small amount which adheres to the surfaces of the particles, and that which fills the more minute pores of these particles. There is enough water in the soil in this condition to supply the demands of plants ; but there is not — as there was before draining — so much as to interfere with their healthy growth. Not the least beneficial effect of draining is that which is the result of the admission of air to its lower and cooler parts, causing a deposit of moisture in dry weather, which is sufficient to supply the needs of vegetation, and to greatly mitigate, if it does not even entirely overcome, the effects of drought. ' WHY SHOULD LAKD BE DRAINED? 375 That land should be made damper by being made more dry, that under-draining should be one of the best pre- ventives of the ill elFects of drought^this is the apparently anomalous proposition on which one of the strongest argu- ments in favor of draining is based. When Tve see a field baked to the consistence of a brick, gaping open in wide cracks, and covered with a stunted growth of parched and thirsty plants, it seems hard to be-' lieve that the simple laying of hollow tiles, four feet deep, in the dried-up mass, would do anything at all toward the^ improvement of its condition ; for the present season it would not, but for the next it would, and for every season thereafter, and in increasing degree, so long as the tiles continued to act as efiective drainage. The baking and cracking, and the unfertile condition of the soil are the result of a previous condition of entire satu- ration. Clay cannot be moulded into bricks, nor can it be dried into lumps unless it is first made soaking wet. Dry, or only damp clay, once made fine, can never again be made lumpy, unless it is first made thoroughly wet, and is pressed together while in its wet condition, itfeither can a consi- derable heap of pulverized clay, kept covered from the rain, but exposed to the sun and air, ever become even apparently dry, except within a few inches of its surface. After under-draining has had time to bring the soil, to a depth of two or three feet, to a thoroughly drained condition, it will equally prevent it from being baked into lumps, or 376 WHY SHOULD LAND BE DRAINED? from becoming, for any considerable deptb below the sur- face, too dry for the purposes of vegetation. In the first place, the water of heavy spring rains, instead of lying soaking in the soil until the rapid drying of summer bakes it into coherent lumps, settles away and leaves the clay, within a few hours after the rain ceases, and before rapid evaporation commences, too much dried to crack into lumps. The other direct effect of under-draining is to remove from below, jwater which, if not so removed, would be eva- porated from the surface. The formation of a crust on the surface of the ground is in direct proportion to the quantity of water that is removed by evaporation, and the crust constitutes a barrier against the admission of air. Consequently the larger the quantity of water that is removed by the drains, the smaller is the obstacle offered to the entrance of air. The more constantly the lower parts of the soil are relieved from ex- cess of water and supplied with air, the more deeply will roots descend ; and the more frequently will the air in the lower soil be changed, the easier its communication with the atmosphere. On these tw'o principles depends the immunity from drought which under-draining helps us to secure. In dry weather the soil gets its moisture from the deposit of dew, on the surface during the night, and on the surfaces of the particles of the lower soil constantly, day and night. "WHY SHOULD LAUD BE DRAINED? 377 Temperature. The temperature of the soil is a matter of the utmost consequence. Seeds cannot germinate, and plants cannot grow "without there being a certain amount of heat in the soil, and there is no means by which this heat is so much and so constantly reduced as by the evaporation of water from its surface.. In proportion as we remove by the means of under-draining the water which would, if not so removed, remain to be evaporated, w€ allow the soil to attain a higher temperature, and so to become more productive. TJie penetration of roots. In a soil that is usually too wet, the roots of plants con- fine their operations to the few inches of dry soil at the surface, as they will not push into a cold, compact, wet subT soil. Draining removes the water from the subsoil, allows it to become sweet and warm and loose, and fit for the entrance of roots, which are tliweby enabled to seek farther for a greater quantity and a greater variety of food. The circulation of air. Atmospheric air, if not absolutely necessary to the life and action of the roots of plants, greatly favors their growth and their absorption of food. Aside from its direct supply of carbonic acid to the ifeeding parts of the roots, it brings moisture to the soil by which they are surrounded, and aids in preparing its nutrient constituents for assimilation. -d- EOTATION OF CEOPS. The experience of practical farmers very early demon- strated the necessity for adopting a system of changes in the crops grown on the same soil. Thus, we find in the writings of Columella, Varro, Theophrastus, and others who in ancient times wrote on the subject of agriculture, distinct rules laid down as to the com-se of cultivation to be pur- sued in order to prevent the exhaustion of the soil, or, rather, to prevent it from failing to produce a particular crop so long as it was fertile for anything, and to enable it to make jfull use of whatever manures were applied to it. In more modern times, the reasons why rotations are ne- cessary have been, in a measure, explained by the aid of chemistry, but we have not materially improved on the practice of those who cultivated the soil 2000 years ago. "Hie various crops appropriate different elements from the soil, or the same elements in different proportions. Of course, by raising the same crop year after year from the same field, its quantity and quality not only yearly deterior- ate, but the soil becomes exhausted of the special ingredi- ents which go to support the growth of that particular product, while it accumulates the elements especially adapted to some other crop. e<5tation of ceops. 379, The principle on which rotations are based may be readi- ly understood from the following illustration : — What are known as the root crops contain, in their ashes, a very large proportion of potash. The average amount of this substance contained in the ash of potatoes, turnips, beets, and caiTots, is fully fifty per cent, of the whole ; that is, they contain as much of this single ingredient as of all the other mineral ingredients combined. Wheat, rye, oats, and barley, on the other hand, contain an average of only twenty-fime per cent., or only one-half as much of this as of all the other ingredients. "^ If we examine their content of phosphoric acid, however, we shall find the case <^ite different. For instance, the four root crops above named contain an average of only about thiHeen per cent, of this element, while the four grain crops contain an average of about thirty-seven per cent. Again, lime forms but about three per cent, of the ash of most root crops, while it exists in clover and most of .the fodder plants to the extent of about ihirty-fi/oe per cent, of their ash. ' If we were to follow through the whole range of the mineral constituents of our crops, we should find similar variations in the amounts appropriated by the difierent plants which are commonly grown on our fields. Now, suppose that on a field of average quality we find that wheat or some other grain grows to advantage. Stimu- 380 EOTATION OF OEOPS. lated by the profits of the cultivation of this grain, we con- tinue to grow it year after year, without intermission. The result is that — sooner or later, often within two or three years — we find the yield steadily diminishing. One reason for this is that we have been constantly robbing the soil of undue amounts of phosphoric acid, and (without rendering it unfertile for some other ci'ops, such as potatoes) we have seriously impaired its capacity for the production of wheat. If, instead of raising wheat the second year, we had raised potatoes, or clover, or some plant of an entirely different character from wheat, we should have drawn more evenly on all of the resources of the land, and should have post- poned the exhaustion of its stock of available phosphoric acid. Here then comes in play, also, another element which it is necessary for the farmer to consider, namely : — there are constantly going on in the soil (which may be considered a natural chemical laboratory) certain chemical and mechani- cal processes, whose effect is to continually set free from other combinations and prepare for the use of plants the various minerals which constitute their ashes. Therefore, if we bring a grain crop into the rotation only once in four, five, or six years, the simple action of these processes will, in the intervening time, set free enough phosphoric acid for a second crop. Soils differ, not only in their composition, but in the rapidity with which their elements are set free ; consequently we find some soils on which the same crop may EOTATION OF CROPS. 381 safely be tried every second or third year, and others on which we must allow a much longer interval. The same rule that applies to the soil holds good also with regard to manures. These almost always contain various matters which go to feed plants, and we must study to so arrange our crops as to make profitable use of all that they can yield ; and, if they are of a sort to need time and the , action of the chemical and mechanical influence of the at- mosphere and of the soil for the complete development of all of their constituents, we must adjust our crops, so far as possible, to take up these constituents as they are prepared for use. The foregoing is the basis of the chemical theory of rota- tions. In addition to this, we must consider the influence exerted on the soil by the roots which are left in the ground wh^n the crop is removed. This element of the influence which plants exert on plants which are to follow them in the same soil is especially important in the case of clover, which is so active in its fertilizing effect, that it may be assumed that we have overcome our great difliculty in bringing up a poor soil when we have enabled it to grow a good crop of clover. One especial virtue of this plant is that it sends its roots far into the subsoil, and thus appropriates, by means of its vigo- rous feeding powers, useful materials which were out of the reach of the roots of plants of other species. These materials are deposited in tJie substance of the plant, and (on its decay 382 EOTATION OF CEOPS. ■when ploughed in, or on the decay of its roots when these alone are left in the soil) they are presented to the new crop in a most acceptable form. The raising of other green crops to be ploughed in for manure, is advantageous for the same reasons. Two most valuable accessions to the rotation of crops will be found in the root crops, and in green forage crops to be either cured for winter use or fed to animals kept on the "soiling" system. To these crops the richest animal ma- nures may be profitably applied, and, while they will make a most luxui'iant growth, they will "draw the fire" of the manure, and leave the land in the best condition for the growth of grain crops. Copeland says :* " "When it was discovered that roots of all kinds were not only good food, but the best food for cattle, those farmers who believed in the discovery cultivated roots, and found, not only that their value as food was inestimable, but that, with a given expenditure in manure and labor, roots gave a larger return in value than any other crop. This was the turning point, the rising tide-wave of improv- ing agriculture. The new crop was an improvement in every respect. It restored fertility better than the fallow, gave an immense amount of fodder, and insured a corre- sponding increase in manure, from the greater number of cattle which could be fed from the farm. "Under, the. old system — the same pursued in New Eng- "* Country Life, page 435. KOTATION OF CE0P8. 383 land at the present day — there was a large and a small white crop, one large yield of hay, then smaller and smaller, then good pasture, then poori This rotation gave a change from better to worse. The new practice demonstrated that there need be no " worse." It showed that a root crop should follow the sod and should be followed by grain ; that again by grain or grass and clover ; that by pasture and roots. At first it was made a point that a white crop should never be taken two years in succession, and after going through roots and grass it was found, on returning to the white crop, that the ground was so much richer than before, that a number of bushels was taken previously unheard of in the neigh- borhood." Liebig says :* " The succession of crops in rotation is al- ways made dependent upon the cereals ; the preceding crops are selected of such a kind that theii- cultivation will not injure, but rather improve the succeeding corn crop. The selection of the particular kind, however, is always governed by the condition of the soil. In a field abounding in stalk and leaf constituents, it is often found useful to have wheat preceded by tobacco or rape, rye by turnips or potatoes, since these plants, by drawing from the soil a large amount of leaf and stalk constituents, serve to restore a more suitable proportion between the straw and corn constituents for the future cereal crop, and, at the same time, to diminish in the arable soil those conditions which favor the growth of weeds. * The Natural Laws of Husbandry, page 227. 384 EOTATION OF CHOPS, Prof. James F. "W. Johnston says :* " Two practical rules are suggested by the fact that different plants require differ- ent substances to abound in a soil in which they shall be capable of flourishing. "1. To grow alternately as many different classes or families of plants as possible, repeating each class at the greatest convenient distance of time. In this country (England) we grow, chiefly, root crops — corn plants refined for seed — leguminous plants, sometimes for seed (peas and beans), and sometimes for hay or fodder (clover and tares), and grasses ; and these in alternate years. " Every four, five, or six years, therefore, the same class of plants comes round again, and a demand is made upon the soil for the same kinds of food in the same proportion. ***** ^ perfect rotation would include all those classes of plants -which the soil, climate, and other circum- stances allow to be cultivated with a profit. " 2. A second rule is, to repeat the same species of plants at the greatest convenient distance of time. * * * * * " Instead, therefore, of a constant repetition of the turnip every four years, theory says, make the carrot or the potato take its place now and then, and instead of perpetual clover, let tares, or peas, or beans occasionally succeed to your crops of corn.f * Agricultural Chemistry, page 493. t " Corn, in English agricultural writing, is a general term corresponding to our grain.'" EOTATION OF CE0P8. 385 " The land loves a change of crop because it is better prepared yith that food which the new crop will relish than with such as the plant it has long fed before continues to require. " It is for this reason that new species of crop or new varieties, when first introduced, succeed remarkably for a time, and give great and encouraging returns. * * * * " It is constant variety of crops which, with rich manu- ring, makes our market gardens so productive, and it is the possibility of growing in the fields many different crops in succession that gives the fertility of a garden to parts of Italy, Flanders, and China." The rotation to be adopted may be best selected by ^ach farmer for himself — keeping in mind the foregoing principles — with reference to his soil, his market, his climate, the price and supply of labor in his neighborhood, and the ex- tent to which he can accumulate manure. The rotation which the writer has adopted for his own farm is the follow;ing ; — First year : — Indian corn, on sod land, manured the pre- vious autumn with .the entire accumulation of manure in the barn cellar, then ploughed and left in the rough furrow for the fullest exposure to frost, harrowing thoroughly before planting time. After the crop is taken off in the fall, the land to be ploughed and again left in the rough furrow to winter. ir 386 EOTATION OF CROPS. Second year : — Roots, the ground being properly divided between carrots, mangel wurzel, turnips, and parsnips. For this crop the land is cross-ploughed in the spring, dressed with one-half of the winter's accumulation of manure in the cellar, and from 100 to 250 lbs. of superphosphate of lime, both sowed broadcast on the furrow and thoroughly harrowed in. Third' year : — Green forage crops for " soiling " cattle — mainly oats and Indian corn in successive sowings. These crops receive the balance of the winter's manure, and a good- portion of the land is cleared off in time, for winter rye to be sown. Fourth year : — The winter rye is cut green, very early in the season, for " soiling " the cattle, and on the land not occupied with it a crop of green fodder is grown that can be got off by August 1st. In the early autumn the land to be sown to wheat, and seeded down with timothy and clover. Fifth year : — The grain harvested and the growth of grass and clover left on the land. Sixth year :—'Y-wo cuttings of hay to be taken off, and • the land to be manured and ploughed in the fall for the suc- ceeding crop of corn, with which the rotation recommences. PEOPERTIES AND COMPOSITION OF MILK, BUTTER, &c. Composition of Milk in 1000 parts. Water 54Q Casein 4q Milk-sugar 45 Butter, or oil 4q Phosphate of lime I7 Phosphate of magnesia 4. Chloride of potassium 9 Common salt 2 Free soda 3 1000 Note. — Milk is heavier than water in the proportion of 103 to 100. The rapidity with which cream rises to the surface de- pends upon the temperature to which it is exposed. ^ew milk, set aside, will cream, in 36 hrs. if the temperature of the air is 60° Fahrenheit. 24 " " « « 550 « 18 to 20 " " « " 68° « 10 to 12 " " " « 77° « At a temperature of 34° to 37°, it may be kept two to 388 PKOPEETIES AKD COMPOSITION OF MILK, BUTTER, &C. three weeks without throwing up any noticeable amount of cream. Cream contains the greater part of the fatty matter of the milk, a small portion of the curd, and considerable water. Good cream, when skilfully churned, will yield about one-fourth of its weight of butter. The temperature at which Tnilk can be churned most, eco- nomically is 65° Fahrenheit. The temperature at which cream can be churned most economically is at 58° Fahrenheit. Butter contains more or less of all the ingredients of the milk. Essentially it consists of the fat of milk mixed with about one-eighth of its weight of water, a small quantity of casein or curd (cheesy matter), and of saline matter. The casein seldom exceeds two per cent, of the whole weight. The fat of hutter, when solidified by pressing out the oil, is identical with the solid fat of the human body. The oil of hutter is a peculiar kind of fat not hitherto detected in any other substance. These two ingredients vary considerably with different samples ; hence the different degrees of hardness which dif- ferent samples present. The solid fat abounds more in winter ; the liquid fat more in summer. They are in about the following proportions in 100 parts : — Summer. Winter, Solid fat 40 65 Oil of butter 60 35 PEOPEKTIES AND COMPOSITION OF MILK, BUTTEE, &0. 389 The main cause of butter becoming rancid is the chemi- cal decomposition which the casein or curd it contains un- dergoes by exposure to the air. This chemical change in the cheesy matter may be prevented — 1st, By thoroughly washing and salting before the cheesy matter has had time to become altered by exposure to the air ; 2d, By taking care that any water that may remain in or around the butter be kept perfectly saturated with salt ; 3d, By carefully excluding the air from the vessel in which the butter is packed. About half a pound of tl^e best Ashton salt is used to 10 pounds of butter. Milk contains a peculiar kind of sugar called milk-sugar, which, being highly soluble in water, passes off in the whey and goes to fatten pigs. In some countries it is extracted and made an article of commerce. The main cause of milk becoming sour is the chemical change which this sugar undergoes, without fermentation and therefore without loss, into an acid called lactic acid. This lactic acid is the cause of the curdling of the milk, which may be hastened by hastening the change of the milk- sugar into lactic acid by the addition of any other acid, such as vinegar or rennet. Pure casein is nearly insoluble in pure water, either by boiling or otherwise. By adding, however, a little soda to ^he water, it dissolves and returns to its milky condition ; 390 PEOPEETIES AND COMPOSITION OF MILK, BTJTTEE, &0. when, by adding some more milk-sugar (or lactic acid), it again curdles. The milk of nearly all animals contains the same ingredi- ents. The best known varieties consist nearly of — "Woman. Cow. Ass. Goat. Ewe. Casein 1.5 4.5 1.8 4.1 4.5 Butter 3.6 3.1 0.1 3.3 4.2 Milk-sugar.... 6.5 4.8 6.1 5.3 5.0, Saline matter.. 0.5 0.6 0.3 0.6 0.7 Water 87.9 87.0 91.7 86.7 85.6 100. 100. 100. 100. 100. The butter and cheese producing quality of milk is shown by the following Table. 100 lbs. milk contains about 3 lbs. pure butter. 100 lbs. " " " 7.8 lbs. " cheese. 100 lbs. " averages " 3.*5 lbs. common butter. 100 lbs. " " " 11.7 lbs. " cheese 100 lbs. skim-milk yields " 13.5 lbs. skim-milk " 1 qt. wine measure weighs 35 oz. 1 qt. milk " " 41 oz. The milk of different cows varies much in richness. We have known one from 65 lbs. of whose milk were made 64 oz. of butter. A full milk cheese contains about 33 per cent, of water, and a skim-milk cheese about 60 per cent. Butter at 50 cents per pound will yield about as much profit as cheese at 15 cents, making no allowance for the value of skim-milk over whey. BUTTEE AND CHEESE-MAKmG. The Butter Dairy. — The qiiality of butter doubtlessly depends more upon the manufacture than upon all other causes combined, yet it is true that the cows, the grass or food, and the water, have much to do with the delicacy of its flavor and richness of its color. It is a notorious fact that eight-tenths of the butter that is sold in the market brings from jwe io fifteen cents per pound less than it would have done had it been properly manufactured. Factory cheese for the same reason brings from three to eight cents per pound more than dairy. It costs no more to make a good article than an inferior oije, and when this fact is fully -ap- preciated, thousands of dollars will be saved annually to the dairyman farmer. Milk-room. — The best milk-room is one through which a stream of pure spring water flows, and a reservoir under the " pan rack " is very desirable. When this cannot be had, select a room or building on the north side of the house, through which fresh air can freely circulate. If a cellar is chosen, it should be dry and thoroughly ventilated by large latticed windows and doors. No decaying vegeta- bles should be allowed to remain in it, as the milk and cream easily become tainted. Close and damp cellars are V 392 EUTTEE AND CHEESE-HAICING. entirely unfitted for a milk-room, and should not be used. The temperature of the milk-room should be as uniform us passible, ranging from 55° to 65°. When the weather is cold, a fire should be kept in a stove on which a basin of pure water is placed, to prevent the air from becoming so dry as to form a crust on the cream. When too warm the temperature can be reduced by hanging wet linen sheets near the doors and windows, the lower edges of which dip into a vessel of water. Cleanliness. —In every department of butter-making the utmost cleanliness should be observed. Milk and cream rapidly absorb noxious gases, and are especially affected by the acids and gases which arise from the decomposition of sour milk or cream. Every utensil used in connection with the dairy should be scalded every time used in boiling water, in which, occasionally, a small piece of bicarbonate of soda has been dissolved. All traces of mflk or cream accidently spilled on the floor should be carefully removed. SeUing the Milk. — As soon as the milk is drawn from the cow it should be strained into the setting pans, to a depth of not over two inches. The complete raising of the cream, especially in warm weather, is thus greatly facilitated. In summer the temperature of the milk should be reduced as soon as possible to about 62°. Powdered ice put into the pail before straining is best ; setting the pail in cold spring or well-water for a few minutes will answer. A small piece of crystallized soda aboat the sizeof a common acorn, BUTTEE AND CHEESE-MAKING. 393 dissolved in a little water, put into each pail of milk before straining, to correct the acidity as it is formed, will increase the quantity of cream, and improve the quality of the but- ter. Milk, if kept at the proper temperature, need not stand over thirty-six hours. If the cream does not rise in that time, the quality of the butter will be impaired by the for- mation of a bitter acid, which gives to the butter a dis- agreeable flavor. In winter the quantity of cream will be increased, and its quality improved, by bringing the milk to a temperature of about 120° before setting. Cream. — As soon as the cream is taken from the milk it should be placed in stone jars or tin pails and set in a cool place. Sprinkle a small handful of fine salt over the top of the cream, and let it stand until churned. Should there be any milk at the bottom of the jar it should be -sepa- rated from the cream, for the cheesy particles of the sour milk become mixed with the butter during the process of churning, and give it the white cheesy appearance which is sometimes observed when the butter " comes white." The cheese decomposes upon exposure to the air, and renders the butter rancid. Such butter should never be packed with the good, for it will surely spoil the whole ; " a little leaven will leaven the whole lump." Chwrning. — The proper temperature at which to churn cream is from 55° to 60°, and care should be taken that the cream be " washed down " so that all will granulate at the same time. "When the butter " has come " to the size of 17* 394: ' BUTTEE AJJD CHEESE-MAKING. peas, draw or pour off the buttermilk, and pour into the churn a pail of cool water, and thoroughly " gather " by the aid of the " dasher " the butter into a compact mass ; after which remove it to the butter-bowl. It should be again washed until the water is free from the least trace of milki- ness, and then salted. Use the best Ashton salt, and if free from water one-half pound of salt is sufficient for 10 pounds of butter. Common salt should never be used, for it con- tains impurities which injure the butter. The cheapest salt in this case is certainly not the most economical. While the salt is being worked in, if too soft let it stand in a cool place not over three or four hours, then work again and pack. "While working, absorb all the moisture from the butter with a sponge covered by a linen cloth, previously moistened in cold water, and continue to work until all the brine is absorbed. No milky brine * should be allowed to remain in the butter, for it decomposes and injures it. During the process of working the temperature of the butter should not be higher than 55° or 58°. "When it becomes warmer than this it looses its waxy, gramilar appearance, and becomes sticky and greasy. "When the salt is not thoroughly worlred in, the butter will have a streaked or marbled appearance. Pachmg. — Place no undissolved salt in the bottom of the * We have known those who would not work the hrine out of the butter " heoause," say they, "it will weigh less ;" mistaken shrewdness, to gain a penny they lose a pound. That it is necessary to leave brine in the butter to " keep it " is a great mistake. BUTTER AND CHEESE-MAKING.- 395 tub or pail, unless covered with a cloth so the butter cannot come in contact with it. If this caution is not observed when sold, four or five pounds of butter is thus rendered comparatively worthless. Never pack a poor " churning " with the good butter, thinking it will not be found out. The sale of many a good firkin of butter is spoiled by a few pounds of poor butter becoming rancid in the centre or bot- tom, which taints the whole package. If there is any but- ter that is even suspiciouStput it by itself. Select neat pails, tubs, or firkins made of white oak, and cleanse them by placing in each about a pound of the common bicarbonate of soda, and then filling with boiling water, letting the water remain for twenty-four hoiirs. Great care should be used in cleansing pails that are to be re-filled,* as they are usually bedaubed to a greater or less extent with rancid butter. A neglect of this precaution will often cause great loss. Butter until the first of June should be packed in pails or tubs and shipped as soon as made. This butter will keep sweet only a short time. As soon as the weather becomes too warm to ship without risk, pack in firkins, being careful to exclude the air as far as possible while packing. When the firkin is filled to within an inch of the top, dissolve two tablespoonfuls of white cofiee sugar, and a piece of saltpetre about the size of a common bean, in sufiicient strong brine to cover the butter and * Pails or tubs after being once used, if properly deansed, are preferable to new ones. 396 BUTTEE AND CHEESE-MAKTNG. exclude the air. Place it in a cool dry cellai", and do not disturb it until ready to be shipped. In the fall the butter should be packed in pails or tubs and sold as fresh butter. An air-tight butter pail or tub is very desirable for ship- ping spring and fall butter. Test of good hutter. — Grood butter should have a granular, waxy consistency, and a rich yellow color, except in the winter and spring, when the color is of a pale yellow or ijearly white. When cut it should not soil the polished blade of the knife, and the cut surfaces should be free from a dewy appearance. The taste and smell should be entirely free from the slightest trace of rancidity, for if not, however good otherwise, when exposed to the air for a few days it will become almost worthless. The flavor of butter is various, generally depending upon the season, the water, the food of the cows, &e. The preference is merely a matter of choice. If butter upon being cut or repacked is covered with small drops of milky brine, it shows that it has not been sufiiciently washed and worked, and although sweet it will not remain so if exposed to the air. When opened for use it should be immediately covered with a strong brine. When it is sticky or greasy, it shows that it was too warm while being churned and worked, or has been over- heated since. Such butter is rancid, or will become so as soon as opened. Setting-pan. — To insure a perfect separation of the cream from the milk a setting-pan has been successfully iised in BUTTER AND CHEESE-MAKING. 397 England. It consists of a large tin pan about four inches deep, holding from four to six pails of milk. It may either set on a table or float in a reservoir of running spring water. Where runm'ng water is not to be had, the proper tempera- ture may be obtained by the dripping of melting ice. At one end is a tube covered with a fine strainer to prevent the escape of the cream,|Jhrough which the milk is to be drawn off, leaving the crean; in the pan. All the cream may be secured \>j rinsing the pan in a little warm water. The Cheese Dairy. — The superiority of factory cheese is entirely due to the great care exercised in its manufacture. But little cheese is now made by private dairies, for it can be better and more economically manufactured at the factory. With proper management it is more profitable for those who do not live near a cheese factory to make butter, unless they provide themselves with all the necessary apparatus. JSich Cheese. — The richness of cheese varies in propor- tion to the amount of the butter that remains entangled in the curd. The following brief directions are from a practi- cal cheesemaker : — ""When two milkings are united, strain the evening's milk and cool by means of pieces of ice dropped into the pails before straining. In the morning take off all the cream, mix it with twice the quantity of new milk. Add warm water enough to raise it to the temperature of 98°. Kub annatto through a silk cloth sufiicient to make the curd the color of rich cream. Into this put rennet sufficient to 398 BUTTER AND CHEESE-MAKING. curd in 35 minutes. Stir the whole into the milk pre- viously raised to the temperature of 86°. The milk should be warmed by means of a pail of hot water set into it, but never by putting it over the fire, for the least burning of the milk will spoil the cheese. "While the curd is setting, cover with a cloth to prevent the surface from cooling. The method of cutting, scalding, fpd pressing depends upon the varieties of cheese to be manufactured. About |- of a pound of the best Ashton salt is sufficient for 20 lbs. of curd. Care should be taken that the whey be entirely expressed." i The difierent varieties of cheese come to mai-ket under the names of Chedder, Cheshire, and Gloucester. These are English cheese. The Dunlop cheese is from Scotland. The Dutch cheese is made in the north of Holland. The Parmesan cheese is made in- Italy. Factory cheese is the best manufactured in this country, some of it being equal to the English. The private dairy cheese is of every grade and quality, from the richest Chedder to that made of skim-milk. Thermometer. — In the butter and cheese dairy the ther- mometer should be a constant companion. Those who trust to sensations are not aware how easily they may be deceived. Let a person put one hand in cold water, the other into warm, then both into another vessel, and it will feel warm to one hand and cold to the other. The only certain guide is the thermometer j its cost is but a trifle, it will save many dollars annually. BUTTEE AND CHEESE-MAKING. 399 Ice-house.— 'Next in importance to the thermometer is the ice-house. Many farmers say " I can't aiford it." They should say " I can't afford to be without it." It will save three times its cost every year. The method of build- ing the following is so simple, and involves so trifling an expense that no man need have an excuse. Select a place on the north side of some building ; lay a floor twelve feet square on scantlings, one foot from the ground. Set firmly in the ground, near each corner, two posts, from four to six inches square, and about eight or ten feet long. When the weather becomes cold, place on the floor saw-dust, tan-bark, or rye-straw, to the depth of eight or ten inches. On the top, place another floor of the same size, putting a curb tnside the posts to keep the filling be- tween the floors in its place. Next make a cui-b ten feet square and six inches deep, and fasten the corners with common gate-hooks. On a cold day place the curb on the centre of the floor, put in two inches of tan-bark, and dash water over the bottom until it forms a coat of ice that will not leak. Fill the curb with water and let it stand until frozen solid. With boiling water thaw the curb loose, raise it to the top of the frozen mass, fill and freeze as before. Continue so doing until the mass is of the desired heighf. Place boards on the inside of the posts, and fill the space with tan-bark or rye-straw ; nail boards on the outside of the posts and fill the space with rye-straw; cover the top with tan-bark to the depth of ten inches. Over the whole 400 BDTTEE AND CHEESEfMAKING. put a roof, to shield from the Bun and rain. Cut and take the ice from the top. Ice can be thus kept the entire season. If a stream of running water can be turned into the curb, the labor of filling will be much lessened. .««>''^lja!S<&«-^ SOILING CATTLE. This is a rather unmeaning expression, and its origin is no more clear than is the fitness of its application ; still it has come into such general use that it is now too late to change it. It is applied to the feeding of cattle in yards or in sta- bles, with grass or other green fodder, cut and hauled to them. This practice is very rapidly growing in favor in all localities where land is very high priced, where manure is largely used, where the finer class of animals are kept, and where for any reason it is desired to keep a large stock on a small place. It is the best foundation of what is called High Farming. It has been found by experiment that if a field bearing luxuriant grass or clover is divided into two equal parts, one half being used as pasture and the crop of the other being cut and fed in the stable as often as it grows to a suf- ficient height, this latter half will support, for the same time, four times as many animals of equal weight as will the depastured portion ; and while the usual allowance of pasture land is at the rate of two acres for each cow, the allowance of land in soiling, where the system is practised in the best manner, is at the rate of only one-half of an acre for each cow. 402 SOILING CATTLE, Of course, this would not hold good on ordinary land which had been in no way prepared for the practice, but after one or two years' preparation by judicious use of the manure made by the animals fed, and by the aid of proper management, any fair land will support, on the sys- tem of soiling, four times as much stock as if they grazed upon it constantly and voided upon it all of their manure. It was for a long time questioned, and very naturally too, whether cattle would remain in good health if they were deprived of the exercise which they necessarily take in getting their own food in the fields ; but ample experi- ence has proved that, if they are allowed good yards in which to exercise for a short time, once or twice a day, they keep in better condition and are less liable to disease than when they are exposed to the various changes of the weather in the fields. It is. also sometimes objected that this treatment is an unnatural or an artificial one. To this the reply is that our domestic animals are artificial productions. In nature we see no working oxen, aind no cows give duriug the whole year a tenth part of the quantity of milk that cows have been forced to give in a state of domestication. With the writer, the soiling of cattle is not a matter of theory. He has adopted the system on his own farm, and has sufiicient evidence in his own practice of its substantial advantages. Perhaps the most practical way to give an idea of the SOILmO CATTLE. 403 manner in which, stock is managed under the.soiling system will be to describe the operations as there carried out.* The farmf comprises sixty acres, lying in a nearly square body, and all in one field. Adjoining the main farm there is a small field in which to pasture calves during their first summer only, but it is not intended that the older animals shall ever feed except in their stalls. In the centre of the farm there is an enclosure of about four acres, within which are concentrated all of the farm buildings ; outside of this there is nothing to interfere with cultivation — no interior fences, rocks, nor trees. The bai'n-yards occupy two acres of what was formedy an apple-orchard, and in the middle of this stands the barn (40 ft. X 100 ft.). This has a cellar under the whole for the accumulation of manure, and (one corner of it) for the storage of roots. The main floor — the whole extent of the building — is occupied by two rows of stalls, the animals facing a cen- tral passage-way, through the entire length of which there runs a. railway with a car, for distributing the food. The next floor above is used for the storage of hay and grain and of implements, and for the cutting and steaming of food in winter. Each floor and the cellar can be entered by loaded teams. On the cattle floor there is ' a system of water-troughs which are constantly supplied from a tank on the floor * To make this description more complete, a few improvements which are contemplated for the coming year are spoken of as though now in operation, f Ogden Farm, Newport, B. I. 404 SOILING CATTLE. above, which is filled by a wind-mill, from a running spring. By this means water is always kept within reach every animal. The floor is divided into four principal parts, separated from each other by bars which run (one on each side of the barn) from the rear of the stalls to the wall ; and each of these divisions has its own door, communicating with a yard nearly half an acre in size, surroimded by a four-foot stone wall, and sufficiently shaded by the remains of the former orchard. Each set of animals has its own quarters and its own ample exercising ground, so that all danger from over-crowding is avoided. They are turned out for exercise in pleasant weather at 8 A.M. and at 2 p.m., and are kept out (by closing the doors) for about two hours each time. If the doors are left open they return to their stalls almost immediately. Being abundantly fed, they show no disposition to move about, and I am satisfied that they give more milk and keep in better condition than if they were allowed the best pasture without shelter, even in the summer time. Five times a day they are given as much green fodder as they will eat. This is cut in the field, loaded on to a cart, and hauled to the upper floor of the barn, where it is dumped through a trap-door into the car, by which it is carried to the stalls. The manure is dropped through an open slat- floor, and through scuttles, into the cellar, whence it is drawn in wagons directly to the field, having been well SOILING CATTLE. 405 worked over by hogs while in the cellar. Thus it will be seen that the labor of attending to a large stock of cattle is reduced to the lowest possible amount.; AKRANGEMENT OF CROPS FOR SOILING. The amount of land that it is necessary to appropriate for the supply of fodder for each animal must, of course, depend on the quality of the land and on the degree to which its productiveness is forced. Under all ordinary circumstances, one-half acre of land, in good heart and in goo.d tilth, should be allowed for each full-grown milch cow of the ordinary breeds (more for short- horns), but, under high cultivation, this will allow a consider- able amount of the produce to be cut for winter use. The regular soiling crops are the following : — "Winter Eye, Cabbages, Oats, Clover, Grass, and Indian corn. Many other crops are available, such as Hungarian grass or millet, wheat, Jerusalem artichoke, sainfoin, &c., but the foregoing are the regular dependence of American far- mei-S, and are the best for common use. The best essay that has yet been written in this country 406 SOILING CATTLE. on the subject of " soiling " was prepared for the Massachu- setts Agricultural Society by the Hon. Josiah Quincy, and was published in the Joui-nal of that Society for 1820. His recommendation is as follows : — " 1. As early in April as the state of the land will permit, which is usually between the 5th and the 10th, on properly prepared land, sow oats at the rate of four bushels to the acre. " 2. About the 20th of the same month, sow oats or barley, at the same rate per acre, in like quantity and proportions. " 3. Early in May, sow, in like manner, either of the above gi-ains. "4. Between the 10th and the 16th of:li|ay, sow Indian corn (the flat Southern being the best) in drills, three bush- els to the acre, in like quantity and proportions. " 5. About the 25th of May sow corn in like quantity and proportions. " 6. About the 5th of June repeat the sowing of corn. " 7. After the last-mentioned sowing, barley should be sown in the above-mentioned quantity and proportions, in succession, on the 15th a;nd 25th of June, and on the 1st of, or early in July ; barley being the best qualified to resist the early frosts." Mr. Quincy depended on the mowing of the best of his grass land to carry his stock through the month of June, or from the earliest pasturing season to the 1st of July, SOILING CATTLE. 407 when he expected his first sowing of oats to be ready for the scythe. After the first killing frost, he depended on the tops of about twelve acres of root crops, for the use of fifteen cows. The plan which I have adopted is a modification of the above, and is as follows (for twelve cows) : — 1. Early in the autumn sow three acres of winter rye, to be cut from May 15th to June 16th. 2. Early in April, three acres oats, to be cut from June 15th to July 1st. 3. Late in April, two acres oats or barley, to be cut from July 1st to July 15th. 4. Early in May, two acres oats or barley, to be cut from July 15th to August 10th. 5. Middle of May, two acres corn, to be cut from August 10th to September 1st. 6. Middle of June, the three acres from which rye has been cut to be sown with corn, to be cut from September 1st until September 20th. 7. Early in July, the first three acres sown with oats to be resown with barley, to be cut from September 20th until the harvest of roots and cabbages furnishes a stock of green refuse, which will suffice until winter feeding commences. This is an allowance of twelve acres for twelve cows, and assumes that the latter end of the season will be helped out by root tops, &c., The reason for appropriating so much land 408 BOILING CATTLE. is that the soil is not yet in suiiiciently good condition to inr sure an ample supply from a much smaller area. In a season of extraordinary drought the whole of the product may be consumed, but in any ordinary year a very large part of it would be in excess, to be cured and stored for winter use, and to furnish a supply of dry food, with which occasion- ally to alternate with the fresh fodder, to prevent the too great relaxation of the bowels which a free use of succulent food sometimes causes. In September three acres of the four comprising ITos. 4 and 5 should be sown with winter rye for the following spring's use, and the rotation should follow in regular order. If all of the manure made in the soiling season were to be used on these twelve acres year after year, I am satisfied that they- might be made in time to. support, during the whole of the usual pasturing season, thirty milch cows, or five cows for each two acres. In my own case, as one of my reasons for adopting the system of soiling has been that it is the best help in bring- ing up a worn-out farm, I shall each year raise my forage on fresh land, so as to give the whole place the benefit of the treatment. Of course, a rule which will apply in one region may not be the best for another, and each farmer must decide for himself the extent to which he can profitably adopt the sys- tem on his farm, and also what crops will best -aeeomplish the desired end in his own case. SOILING CATTLE. 409 "Where it is desirable to plough as little as possible, clover and grass may with advantage enter much more largely into the arrangement. Two general principles, however, may be stated as appli- cable to all of the more temperate regions of our Northern States — 1. The earliest abundant food will be secured by the use of winter rye. 2. The hest and most abundant food for the later summer and earlier autumn time will be secured by the use of Indian corn. AEGUMENTS IN FAVOE OF SOILING. Mr. Quincy states the following as the leading advan- tages of this system : — " 1st. The saving of land. " 2d. The saving of fencing. " 3d. The economizing of food. " 4th. The better condition and greater comfort of the cattle. " 5th. The greater product of milk. " 6th. The attainment of manure." On the subject of the 3d item — the economy of food — he says : " There are six ways by which beasts destroy the ar- ticle destined for their food — 1. By eating ; 2. By walking ; 3, By dunging ; 4. By staling ; 5. By lying down ; 6. By 18 410 ■ SOILING CATTLE. breathing on it. Of these six, the first only is useful. All the others are wasteful." The other points he elucidates with equal force, but at too great length for full quotation here. The statement made above that a milch cow may be kept during the ordinary pasturing season upon the produce of one-half acre of land, while of land of the same character at least two acres would be necessary on the pasturage system, is sufiicient to illustrate the saving of land. Yet this state- ment, which will be supported by the testimony of all who practise the system on land of good quality, is far below the estimate of many who have had a lifelong experience of soiling in Europe. Some of them place the proportion in favor of soiling as high as 1 to 7. Of course the amount of stock which may be fed from the produce of a single acre depends very much on the manner in which that acre is cultivated, and the question of the cost of labor must determine whether it is or is not profitable to force the production beyond k given extent. As to fencing, it is only necessary to remind nearly every farmer of his own experience of .the first cost of building, and of the yearly cost of repairing the fences of his own farm, and to say that by the soiling system, when completely carried out, all interior fences may and should be entirely dispensed with,. Add to the question of expense, the fact that useless head- lands and their nurseries of noxious weeds are got rid of. SOILING CATTLE, 411 and that the plough can be driven, if desired, straight through from one side of the farm to the other, and the argument needs no re-enforcement. Concerning the condition of the cattle, the following is stated by Quincy : — " One writer asserts that he has kept a large herd for several years in this way, and during the whole time ' he never had an animal essentially sick, had never one die, and had never one miscarry.' " The general result of the experience of hundreds of farmers in Europe, and of considerable experience in America, is, that cattle are really better ofi' in every way, under the protection of the soiling barn, with its ample and regularly supplied food, and with the advantage of daily currying and exer- cise, than when left to shift for themselves exposed to the vicissitudes of the weather. The quantity of milk may never be so large as it is du- ring the flush weeks of June, when the cows ai-e gorging their maiden appetites on rich grass ; but the consumption of food from the first of May to the first of November (and consequently the yield of milk) will be much greater. " Last, but by no means the least," the question of manure asserts its claim to the fullest consideration. Were it not' for this item of the calculation the arguments in favor of soiling would lose more than half their force. The immense superiority, both in quality and evenness of distribution over the soil, of manure which is made and kept under cover, over that which is dropped at random on pas- 412 SOILING CATTLE. ture fields; and the advantage of being able to apply it ■when we please, where we please, and in such quantities as we please, are too well known to all who have to use ma- nure to produce paying crops, for any argument on the sub- ject to be necessary. There is no way in which so much manure of such excellent quality can be landed on the farm without a far greater outlay of money than is necessary to pay for all the labor required for ploughing, sowing, " tend- ing," cutting, and hauling the food, and for currying and feeding the animals under the most complete soiling man- agement. Of course the manure argument does not hold (nor is the system of soiling to be recommended) for those districts of the West where the laughing harvest follows the tickling hoe; where straw is burned in the fields, and barns are moved to get away from the accumulated manure. But for the older settled countries of the East and South (and for the future West— the West with its " inexhaustible fertil- ity " exhausted) it does hold, and with such force that as population grows more dense— and farmers more wise — it alone, even if there were no other advantage in the system, must in time compel the rapid" increase of the practice of soiling. STEAMING FOOD FOE STOCK. A more recent improvement than " soiling " in the keep- ing of feattle, on farms where it is important to make every pound of food tell with the fullest effect in the production of meat, muscle, or milk (and on what farm is this not im- portant ?), is the stea/ming of food in winter. Although this practice has been the subject of much less exiperiment than soiling, and is, consequently, less generally recognized as worthy of adoption, enough is known of its advantages, both by experience and from theory, to make its brief discussion necessary to the completeness of this book. During the past year I have investigated the subject with some thoroughness, and have detei-mined to adopt it on my own farm ; and I can hardly do better than to give here some account of my investigations, in order that my readers may decide for themselves the soundness of my reasons for the determination. My serious attention was first called to the matter by an article in the Keport of the Department of Agriculture for 1865, written by Mr. E. W. Stewart of ISTorth Evans, N. Y. He therein details his own experience of ten years in steam- ing food for a large stock of cattle and horses, gives a suc- cinct statement of the reasons why steaming is beneficial, 416 STEAMING FOOD FOE STOCK. and, sustains his own opinion by the concurrent testimony of other practical farmers who have found the practice bene- ficial. The following are the results of the operation as stated by Mr. Stewart :— " 1. It renders mouldy hay, straw, and corn-stalks per- fectly sweet and palatable. Animals seem to relish straw taken from a stack which has been wet and badly damaged for ordinary use ; and even in any condition, except ' dry rot,' steaming will restore its sweetness. When keeping a large stock, we have often purchased stacks of straw which would have been worthless for feeding in the ordinary way, and have been atle to detect no difference, after steaming, in the smell or the relish with which it was eaten. " 2. It diffuses the odor of the bran, corn-meal, oil-meal, carrots, or whatever is mixed with the feed, through the whole mass ; and thus it may cheaply be flavored to suit the animal. "3. It softens the tough fibre of the dry corn-stalk, rye- straw, and other hard material, rendering it almost like green succulent food, and easily masticated and digested by the animal. "4. It renders beans and peas agreeable food to horses, as well as other animals, and thus enables the feeder to com- bine more nitrogenous food in the diet of his animals. " 5. It enables the feeder to turn everything raised into STEAMING FOOD FOR STOCK. 417 food for liis stock, without lessening the value of his manure. Indeed, the manure made from steamed food decomposes more readily, and is therefore more valuable than when used in a fresh state. Manure made from steamed food is always ready for use, and is regarded by those who have used it as much more valuable, for the same bulk, than that made from uncooked food. - " 6. "We have found it to cure incipient heaves in horses ; and horses having a cough for several months at pasture, have been cured in two weeks on steamed food. It has a remarkable effect on horses with a sudden cold and in con- stipation. Horses fed upon it seem much less liable to dis- ease ; in fact, in this respect, it seems to -have all the good qualities of grass, the natural food of animals. " 7. It produces a marked difference in the appearance of the animal, at once causing the coat to become smooth and of brighter color— regulates the digestion, makes the animal more contented and satisfied, enables fattening stock to eat their food with'less labor (and consequently requires less to keep up the animal heat), gives working^animals time to eat all that is necessary for them in the intervals of labor; and this is of much importance, especially with horses. It also enables the feeder to fatten animals in one-third less time. " 8. It saves at least one-third of the food. We have found two bushels of cut and cooked hay to satisfy cows as well as three bushels of uncooked hay, and the manure in the case of the uncooked hay contained much more fibrous 18* 418 STBAMCNG FOOD FOE STOCK. matter nnutilized by the animal. This is more particularly the case with horses." Other publications on the subject fully confirm Mr. Stew- art's estimate, and we commend his essay, which is accessi- ble to all, to the careful attention of every feeder of farm stock. In January (1868) I visited the farm of Messrs. S. & D. Wells, at Wethersfield, Conn., for the purpose of examining their cow stable and its fixtures. The leading features of this establishment are a constant water-supply, and apparatus for cutting and steaming food.* The latter was introduced at a cost of about $500. It com- prises a three-horse steam-engine of very simple construction, a tubular boiler of sufficient capacity to run the engine, a strong power stalk-cutter, and a chest for steaming food. There were about thirty cows in the stable. They receive steamed food morning and night, and dry hay at noon. The steamed food consists of hay of poor quality, straw, or corn- stalks, cut to short lengths, sprinkled until thoroughly wet, and then dusted with bran or meal, and steamed for about two hours. The engine has power enough to cut in a couple of hours * The water is brought from a living spring and flows through galvanized iron pipes which form the connections between the bottoms of small iron troughs standing at the head of the partitions which divide each pair of stalls. The last trough overflows through a pipe near its top, and the water wells up to the level of this overflow in each trough of the series. By this simple arrange- ment, a constantly changing supply of water is kept always in front of the cattle. STEAMrN& FOOD FOB STOCK. 4:19 a supply sufficient for the wliole week, and enough is steamed at one charge to last for three or four days. Steam is made only twice in each week (once for cutting and steaming, and once for steaming only), and then only for a short time. The steaming box is about four feet square and eight feet high. The materials are put into the box from the floor above that of which the cow stable is an extension, and are re- moved through a door in one of its sides on the feeding floor. Elevated a short distance above the bottom, there is a false bottom perforated with many holes. The steam is let in be- low this, and is thus allowed to rise evenly through the the whole mass. The box is made of two thicknesses of one-inch, matched spruce boards (one set running up and down, and the other across). The doors are not made with any very great care to prevent the escape of steam, nor does it seem to be con- sidered necessary to do moi'e than to have the box strong enough to hold its "burden of wet fodder. The Messrs. Wells find that Mr. Stewart's opinion — given above — ^is, in all essential particulars, sustained by the re- sults of their experience. They think that steaming adds one-half to the feeding value of fodder. It was what I saw on their farm, more than anything else, which caused me to decide on adopting the system in my own practice. My apparatus is not yet completed, and I cannot, therefore, speak on the subject with the authority of a successful experimenter ; but from all that I can learn, I 420 STEAMING FOOD FOE STOCK.- am satisfied that the advantages of steaming have hardly been overrated. The theory of the process (in a nutshell) is this : Cattle and horses in a state of nature live the year round on succu- lent green herbage. "When the cold weather begins to cut sliort the supply in the more northern latitudes, they migrate toward the south. Man steps in and keeps them in the colder climate. He substitutes dried grass for fresh grass. Steaming will, in a great measure, restore hay to the condi- tion of green grass. Also, many constituents of hay, straw, &c., are insoluble and indigestible. Bj the action of heat and moisture they become soluble, or at least are reduced to a condition in which they are easily available to the digest- ive organs of animals. Starch-grains, accoi-ding to the best authorities, are coated with a layer or cuticle which resists — to a great extent — the action of the juices of the stomach, while its interior parts, could they be directly exposed, would readily be assimilated ; therefore, as heat causes the interior of the grains to swell and burst their coating, ex- posing themselves on the surface, as the interior parts of a kernel of corn do in " popping," the process of steaming (or any cooking) makes the starchy part of food more readily available. Examinations of the droppings of animals fed on cooked and uncooked food furnish results which confirm the fore- going opinion. Carefully conducted experiments on animals of equal. STEAMING FOOD FOK STOCK. 421 weight, and of like condition in all respects, invariably show that those which are fed on cooked food take on fat, and form bone and muscle more rapidly than those which get only raw food. If, after a certain time, the food is changed — the cooked being given to the animal that has been receiv- ing the uncooked, and vice versa — the rapidity of growth will change too. The trial has often been made, and the result has been invariably the same. In fact, in all of the essays and opinions on the subject of cooking food for domestic animals, in this country and in Europe, I have failed to find the first one that is not decid- edly favorable. Steaming, of course, is valuable only because it is a means of cooking, and the arguments in its favor bear equally on the subject oi loiling. Steaming As rapidly coming into use because of its greater convenience and economy. How to inahe a Steaming Apparatus. — Any device by which steam may be generated under a very slight pressure — barely sufiicient to cause it to penetrate the mass to be cooked — and conducted to the vessel in which the steaming is to be done, will accomplish the desired purpose ; but, of course, the more convenient the arrangement, and the less the waste of steam (whether by condensation or otherwise), the more economically the process may be performed, as to both time and fuel.' Mr. Stewart suggests a plan which, from its cheapness, will answer a good purpose where the stock to be cooked 422 STEAMING FOOD FOK STOCK. for is small, or where it is desired to experiment on a small scale. It is a box made of well jointed 2inch pine, seven or eight feet long, and about two and a half feet wide, with a bottom of No. 16 sheet iron, nailed securely on to the lower edge of the sides and ends, and turned up a little outside of them — say half an inch. This box has a false bottom, of wood or iron, placed about three inches above the fast bot- tom, and perforated with many small holes, and a closely- fitting cover over the top. It sta,nds on brick walls which do not come quite so far out as the wooden sides of the box. At one end of the chamber enclosed by these walls there is a wood fire-place, and from the other end a chimney rises. The space between the bottom and the false bottom is partly filled with water, cut hay mixed with meal or bran is put in the box above the false bottom, the cover is closed, and the fire is started. The steam rises through the per- forations in the false bottom, and cooks the mass above it. A much more complete apparatus for steaming, and in large practice a more economical one, comprises a boiler for generating the steam, a box in which to place the food, and a wooden, or well protected steam-pipe to connect the two. The box should have a perforated false bottom, and the steam should be introduced beneath this, so that it may diffuse itself uniformly through the mass. STEAMING FOOD FOR STOCK. 423 The boiler may, of coui-se, be of any pattern that will secure the economical generation of steam. A discarded engine-boiler will answer every pui-pose if it is strong enough to bear a pressure of, say, five or ten pounds to the inch — a slight pressure being necessary to force the steam through the mass of hay. D. E. Prindle's Agricultural Boiler, which is shown in the accompanying cut, is admirably adapted for this use. RG. 1. Fio. 2. Prindle's Agricultural Steamer and Cauldron (shown in Flo's. 1 and 2) is the invention of Mr. D. E. Prindle, of East Bethany, New York, and is largely manufactured by Messrs. Savery & Co. of Philadelphia. Its popularity seems to be rapidly increasing, and there is no question that it is the best steaming apparatus for the use 4:2i STEAMING FOOD FOR STOCK. of all farmers who do not employ steam-engines that has yet been invented. It consists of a cauldron set over a furnace arranged to bum either wood or coal, and furnished, with a dome which fits closely over it and is keyed down so as to make a steam-joint It is provided with a test-cock to show when it needs the addition of water, a safety-valve which is also a vacuum valve, a funnel for filling, and one or more pipes to convey the steam to the cooking-boxes. Aside from its use in steaming fodder for cattle, it may be used to heat water to scald hogs, or for other purposes, to warm buildings, to cook roots or meal for hogs or grain for fowls, and for a variety of other purposes for which hot air, hot water, or steam are useful. For farm use, especially when constant steam is not re- quired, Prindle's steamer is much better than an engine- boiler, as it works only at a very low pressure, and is conse- quently quite safe, and is much cheaper when we consider the cost of setting up the larger engine-boiler, and its more expensive transportation. Full particulars concerning the Prindle steamer may be obtained by application to the inventor. I have not determined, in my own case, what power to adopt for the cutting of my long fodder. The question is about evenly balanced between a small steam-engine, a wind- mill, and a railway horse-power, for final use ; but as the first cost will be less, I shall commence with the horse-power STEAMING FOOD FOE STOCK, 425 belonging to a threshing machine, and a Prindle boilerj changing to one, tlie engine or mill, at a future day, if it seems desirable. It is hardly prudent to make any positive calcxilations in advance of actual experiment, but I anticipate-^and I base my calculations on a very careful survey of the whole field — a saving of ahoxit forty per cent, in the cost of feeding my stock, over the present system of feeding only the best hay uncut. A part of the saving will be due to the more digestible condition of the food, and a part to the fact that a much cheaper quality of hay, or straw, or corn-stalks can be largely used. A saving of very much less than this, when from thirty to forty head are to be provided for, will be enough to make a fair profit on the business. The various uses for which steam can be adapted seems to be but little understood by the masses. Fear of explo- sfons, scalding, &c., as well as want of knowledge of its great advantages, has thus far prevented its general intro- duction. The want of a perfectly safe and easily managed low pressure apparatus with which to accomplish all the require- ments of domestic use, has also been a great drawback. The great advantages of cooking, heating, boiling, &c., by steam, are obvious when it is remembered that it can be done with much less water and fuel, requiring but little care of the operator, and using wooden vessels (if desired) of any kind, size, or shape (a great desideratum). By its use there 426 BTEAMmG FOOD FOE STOCK. is no re-filling of IcettUs (the ordinary mode) to get a desired quantity ; no constant watcHng or stirring, or removal of tlie substance -while hot, to prevent burning ; no cleaning of kettles for every separate job, which can be done by steam. By the use of this powerful agent, large quantities may be boiled or steamed, or several vessels (if need be) treated at the same time ; and when desirable, the steam can be con- veyed in pipes or logs to some little distance, using proper care in protecting the same from condensation ; thus avoid- ing, many times, danger from fire, and accommodating itself to all the various purposes of domestic economy, as well as in the manufacturing of many articles or compounds, when danger from burning or explosion is so common. By steam the clothes may be boiled at any point in the barrel or tub ; the bath-tub may be warmed in an adjoining room ; the farm or stock-feeder could easily cook in quantities at a, time, or . scald his hogs, steam his barrels, &c., &c. "We believe that when a cheap, simple, and perfectly safe apparatus is once introduced, that the subject (as it deserves) will receive much more attention, as by steam all classes might as easily be benefited. ADVANTAGES OF COOKED FOOD. The Americcm Agrioultv/rist for January, 1860, says: " Experiments made by C. M. Clay, of Kentucky, showed that one bushel of dry corn made 6 lbs. 10 oz. of pork ; of boiled com, 14 lbs. 7 oz., and boiled meal, 16 to 18 lbs." STEAMING FOOD FOE STOCK. 427 M&rtorCs Cyelopcedia of Agriculture (than which there IB no higher authority in Europe) says : " As to steaming food for cattle, there is abundant experience to recommend it. The process of cooking renders sohible that which would otherwise be imperfectly digested. It removes, in some cases, what would otherwise be unwholesome ; and it renders savory what would otherwise be distasteful." Lovdori's Encyclopoedia of Agriculture remarks : " Un- less food be thoroughly deprived of its vegetative powers before it enters the stomach, the whole nourishment which it is capable of affording cannot be derived from it. The most effectual mode of destroying the living principle is by \h.Q application of heat, by steaming or boiling." The Society of Shakers, at Lebanon, K T., famous for pork-raising, say: "For fattening animals, swine particu- larly, we consider three of cooked equal to four of raw meal." GAEDENING FOE MAEKET. "While market-gardening, as a systematic business, ia quite distinct from farming, there is no farmer who lives near a town who may not make the raising of certain crops on a small scale very profitable. Success in this branch of the business of the farmer requires that the land to be devo- ted to its prosecution he dry, warmly situated, with a good exposure, and rich and again rich. The amount of manure which may be jprofitahVy applied to land intended for the growth of market vegetables has hardly any limit. One hundred cartloads of good horse GAEDENIXG FOE MAKKET. 429 manure to an acre, every year, will pay more profit than ■will fifty loads ; and I am inclined to believe that even two hundred load8 would pay better still. The cultivation of vegetables entails, in any case, a heavy outlay for labor, seed, expenses of marketing, &c., and these are about the same (except in the matter of marketing) for a light as for a heavy crop — it takes a certain amount of produce to pay the cost, and up to this point there is no profit. Beyond this point, except the cost of the manure, it is nearly all profit, and the more we can stimulate exces- sive production the more rapidly will the ratio of profits increase over the expenses, No farmer canhope to become really successful in raising vegetables for market until he is prepared to expend— in- cluding the value of the manure used — at least $300 annu- ally on every acre of his. garden land. "With this outlay, if his soil is good and well placed, and his market is a good one, and if he is the right mem for the lusmess, he ought to make a clear profit of $500 per acre. The character of the market should be well understood. If there is 'a manufacturing town near by, or any town hav- ing a population which includes a large proportion of labor- ing people, the case is a simple one. It should be well understood that it does not pay (at least so far as gardening is concerned) to feed the rich. They are like the black sheep of the fiock, that don't eat so much as the white ones — there are not. so many of them, and, as 430 GARDENING FOE MAEKET. another reason, they do not eat so largely of coarse vege- tables. A hearty Irish laborer, with a stout hardworking wife and a table full of healthy children, will use up cabba- ges and turnips in a way to delight the heart of a gardener ; and the atmosphere of a manufacturing town will evapo- rate a farmer's load of these vegetables as the sun dries up the morning mists. To any one who is disposed to venture an acre or two in gardening, no better service can be do'ne than to recommend him to read Peter Henderson's " Gardening for Profit," wherein are laid down precise rules for the management of every department of the business. We have here only space to give a few practical hints which will be chiefly of use to farmers who propose to de- vote a portion of their time to the simpler kind of garden- ing. It may be given as a general rule, that the only crops that it will pay the fa/rmer to raise, in his market garden, are beets, cabbages (early and late), sweet corn, cucumbers, onions (rare-ripes), parsnips, radishes, spinach, and tomatoes. The size, a/rraTvgement, omd equvpment of the garden. — We will suppose a farmer to be about to embark in this busi- ness, and that he is willing to invest in it a capital of one thousand dollars. Of course the same general rules will apply for a more or less extensive operation. He should select two acres of light dry land (if he has it, and if not he should thoroughly underdrain it), if possible with an exposure to GAEDENING FOE MAEKET. 431 the east or south. If it is sheltered from the north and west by an orchard or by other trees, so much the better. The land may be more economically arranged if it lies in about a square body, and should be fenced on the north and west sides with a tight board fence six or eight feet high. A fence of the latter height, made in the best manner, of pine boards, capped with a spruce rail, will cost in the vicinity of New York about $200 for 600 running feet. This fence should set close to the ground, so that the wind cannot draw under it, and it will have the effect of very materially modifying the climate, and enabling the growing of much earlier vegetables. Close in the northwest corner he should then set up two parallel rows of hemlock boards, nailed to 2x3 stakes, driv- en into the ground. The back line of boarding should be 12 inches high, parallel to the fence and three feet distant from it. The other row should be 8 inches high, parallel to and 6 feet and 2 inches distant from the first, outside meas- urement. Both to be 187 feet long, with boards to close up the ends, and the ground enclosed by them should be spaded and manured. This is the " cold frame," which is to be covered by 50 sashes, each 3 feet 9 inches wide by 6 feet 2^ inches long, having four rows of glass, each containing nine 8x10 lights set lengthwise across the space — the rails being ten inches apart. The sashes to be made of If inch stuff and strengthened by a flat rod of iron (1 inch by ^ inch) let in flush on the under side and screwed fast to the bara 432 GABDENING FOE MARKET. and rails, across the middle of the sash. It is best to make the sashes in the best manner, as they are a very im- portant part of the permanent stock in trade of the garden. They will cost, at an outside price, $250. The ground of the garden should be deeply ploughed and subsoiled in July or August, and if the weeds that grow upon it are likely to ripen their seeds, they should be mow- ed down late in the fall. Before winter sets in, the largest amount of horse manure that can be bought for $200, de- livered, should be spread upon the surface, and left exposed to the rain and melting snow of the winter. About the middle of September, sow in a well-prepared . seed-bed in an old garden, twelve ounces of the seed of Jer- sey Wakefield cabbage, and four ounces of Fottler's Im- proved Brunswick. At about the same time sow on three feet of one end of the cold frame, one ounce of black-seeded butter lettuce, and one ounce of eaxly-curled Simpson lettuce, giving to each about nine square feet. These are to remain where they are sown during the winter. The cabbage plants will be large enough to transplant about six weeks from the time of sowing, when they are to be " pricked out " in the cold frame two inches apart each way, which will give about 800 plants to a sash. These plants should be well watered, and sprinkled with a light coating of air-slaked lime. They will need to be protected by the glass until they are firmly rooted (the sashes being tilted up at the back to give them air whenever the sun is on them), and on frosty nights, GABDENING FOE MAEKET. 433 and they should be gradually accustomed to the cold air, so that they may be able to withstand the hard freezing that they will get in the winter; all through the winter they should have air whenever the frost is thawed from the under side of the glass, and on fine days the sashes should be strip- ped off from them altogether. The end where the lettuce plants are standing should have less air, and should have the protection at night of an old carpet thrown over the sash. Directly in front of the cold frame there should be a second frame made of exactly the same size and character. This should be filled with straw, leaves, or other rubbish which will keep it from freezing, and about the last of Feb- ruary or the first of March its covering should be removed and about three inches of well-rotted manure should be dug into it — not too deeply. The lettuce plants are now to be transplanted to this frame, at distances of six and a-half or seven inches each way (about seventy plants to a sash), and covered by the sashes which may now be taken entirely from the hardened cabbage plants. If light board shutters have been provided to cover the cabbages during severe storms, it will be better, but they will stand any amount of hardship after their winter's training. The lettuce plants should have plenty of air during fine weather (and some air whenever it is not freezing), should be abundantly watered if the season is dry, and should be forced by as much heat as can be given them without depriving them of air. They will be ready for market about the middle of May, when lettuce 19 iSi GABDENING TOE MARKET. usually sells in towns (not in the larger cities) for from 8c. to 12c. per head. Dm-ing the latter part of April, plant sixty three-inch pots with half a dozen seeds each of White Spine cucum- ber, and set them in a warm light room in the house. By the time the lettuce is sold off these will be sturdy plants, and they should be thinned to three in each pot. Now dig holes a foot deep, and a foot in diameter, at intervals of three feet in the lettuce frame, and fill them with very thoroughly rotted and rich compost, covering it with a little soil. On each of these plant the contents of a pot, without disturbing the roots of the plants, and cover closely with the sashes. Give a little air in the middle of the day, but cover close from 4 p.m. until 10 a.m., and during all chilly weather ; water copiously, and uncover to all warm rains. By the latter pai't of June the picking will commence (at from 5c. to 30c. each), and it may be continued as long as ihe price is not less than Ic. each. This crop is more un- certain and varying in its results than lettuce, but it usually pays well, and is very inexpensive. Now let us sum up the probable income of 50 sashes, managed as directed above : — 35,000 cabbage plants, at $10 $350 3,500 lettuces, at 8c 280 Cucumbers (from $25 to $100), say 50 This is earned with a small investment, and the labor is GAEDENOfG FOE MAEKBT. 435 mainly done in the fall and winter, when other work is slack ; andiit has the great advantage of coming in early, when there is a demand for ready money to pay for labor, &c. Five hundred tomato plants may be started in the kitchen window, or in a small hot-bed, and by the middle of April they may be pricked out in one end of the lettuce frames As early in May as the danger of frosts has passed, they should be set out at intervals of fifteen inches along the foot of the fence on the north and west sides of the field, to be trained up against it (tacked fast), and kept trimmed to single stems. At a height of six feet they should be pinched off and their growth kept close. They should be planted in a very rich soil, and well watered. They can hardly fail to produce early crops, and ought to sell for $75 to $100. Now we come to the management of the field crops. If we could only raise cabbages year after year on the same land, our business would be a very simple one. We might take two crops yearly (an early and a late one) of the most profitable and easily raised vegetable on our list. But, unfortunately, one crop in two years is all we can reasonably hope for, as the " club-foot " will surely attack an immediately succeeding crop on the same ground, and our best plan is to arrange to grow as many cabbages as we safely can ^making this point our constant aim — and to occupy the land as profitably as possible the rest of the time. Therefore, the field should be divided into two equal parts. 436 GAEDENING FOK MAEKET. one side being prepared for cabbages and the other for such other crops as will not interfere with the gro\|tJi of cab-, bages the next year. The first operation is the preparation of the ground for early cabbages, for which we devote a space of about one acre. The manure which was spread in the fall should be lightly ploughed in — not deep enough to turn up the old sod — and a thousand pounds of Peruvian guano, two thousand pounds of fish guano, or fifteen hundred pounds of bone- dust, should be evenly sown over the ground, and thoroughly harrowed in. Either of these manures will cost about $40. As early as it is possible to get the ground into proper con- dition, as described above, the cabbage plants in the cold frame should be set out, in rows two feet apart, and about 16 inches apart in the rows. It will probably be best to plant three-fourths of the piece with the Jersey Wakefield, and the remainder with the Brunswick, which will begin to be fit for market at about the time when the Wakefield is all sold. This amount of land will receive about 16,000 plants, leaving about 20,000 plants to be sold from the frame. If the value of cold frame plants is understood in the vicinity, they will be readily taken up at $10 per thousand. If there is a good summer market for lettuce, the Early Curled Simpson may be set out between the rows of cabbage, when it will grow to a marketable size before the whole GAEDBNING FOE MARKET. 437 ground will be required by tbe main crop. In the neigh- borhood of small towns this wiU. not be worth while, as there is but little demand for lettuce after June 1st. As soon as the cabbages are planted — and this may be done even so early as in March, if the weather is fine — ^the other half of the garden should be manured and prepared in the same manner, and planted with beets, onions, pars- nips, spinach, and radishes ; the first four in about equal proportions, and in the following manner : — Beets (of the Bassano and the early turnip-rooted blood variety) should be very thickly planted in rows 18 inches apart — thickly, because the early frosts may cut off a part of the crop — and when they are fairly up, they should be singled out to intervals of about 4 inches in the rows. The onions should be " sets " raised the previous year. These may usually be bought for from $6 to $10 per bushel, according to size — the -smallest bearing the highest price. They should be set in rows 9 inches apart, and at intervals of 3 inches in the rows, being firmly pressed down in the bottoni, of the line made by the marker. Every seventh row sEottLd be omitted to leave room to walk among the crop, ana%ie sets should be entirely covered by raking the beds evenly over. Onions raised from the seed are rather a farm than a gar- den crop, and will not pay to raise on land so expensively manured as that under consideration. Onions raised from "sets" are called Bare Bvpes, audi 438 GAEDENING FOE MAKKET. they always meet a ready sale in any market where there is a market for any vegetables. Still, as it is considerable work to tie them, it will be best not to raise more than one- quarter of an acre of them. Pa/rsnips should be planted early in May on well pre- pared (deeply loosened) ground, in rows 27 inches apart, the seed being strewn thickly in the rows, and the plants finally thinned to intervals of six inches. The reason for putting the rows so wide asunder is that it enables us to cultivate the crop with the horse-hoe at a time when labor can be ill spared for hand-hoeing. Spmach. — This crop, the first year, must be planted in the spring ; by planting very early, on ground so heavily manured, it will be in market ahead of green peas, and will bring a good price, but after these are plenty it can hardly be sold at any price. The cultivation of this crop is extremely simple. The seeds are sown pretty thickly (say 10 lbs. per acre) in rows about 12 or 14 inches apart, and the land kept clean until it is large enough to cut. For all subseqiient years, spinach should be planted about September 15th, on the ground from which the Brunswick cabbage has been taken, this being first well manured with animal manure. It will require (above the latitude of New York) a light covering of seaweed, leaves, or straw during winter. Coming very early into market, it often brings four doUa/rs a iarrd. BadAshes are a stolen crop, and, to a limited extent, they GAKDBNING FOE MAKKET. 439 may be very pi-ofitably grown. It is best to raise both the long scarlet and the short top turnip-rooted varieties — the former for common trade, and the latter for those who are more choice in their taste, the proportion of each being regulated according to the character of- the market. The seed may be sown, rather thinly, with a seed drill between the rows of beets. No cultivation is needed. The seed is the only cost except the preparation for market, and this need be applied only to so much as there is a sale for ; the rest can be simply cut out with a push hoe, before the beets will require the whole ground. We have now provided for the planting of all the land, and will need to commence promptly to use the hoes, of which at least two should be kept going incessantly until the crops are all firmly established, and are able to hold their own against weeds. In fact, at no time during the growth of the crops, until they are too large to be worked among without injury, should weeds be allowed to grow at all. If they once get started so that there must be a fight to get rid of them, we may as well say good-bye to all hope of profit, for they will require more labor than it will be pleasant to pay for, and the crops will be materially injured, by them. If, on the other hand, every foot of the land be lightly hoed over (or even raked with a light iron rake until it becomes too hard) once a week, there will be no weeds to kill, and the plants themselves will be sufficiently benefited by the operation to pay the cost. 440 GARDENING FOE MAEKET. Ha/rvesUng the crops, . " " countries that have adopted the 173 " " act of Congress authorizing; 174 " " formation of tablies 170 " " table of Unear measure 177 " " table of square measure 178- " " table of cubic or solid measure 179 " " table of dry and liquid measure 179 " " table of weights 180 " " table of angles 181 " " tables of equivalents 181 Milk, Properties and Composition of 387 Analysis of milk 387 Table, showing the effects of various degrees of heat in making new milk cream 387 ■ Analysis of the milk of different animals 390 Miscellaneous WEiGnTS 153 Mixing Paints -. . . 4G0 Monet (see United States Money) 145 Mortar, brown, for Masokrt, Brioe-work, &o 4G3 COITTENTS. 495 N. Nutritive value of certain Crops 190 Table, showing the nutritive value of certain crops. 190 o. Oil, per cent, in different seeds, grain, &c 191 Table, showing the percent, of oil in different seeds, grain, &c...' 191 Osage Orange — ^hedge plants. 130 P. Painting 460 House painting t 460 Mixing paints 463 A beautiful white paint 403 A pure white paint , 464 Common white paint. 464 For knotting 464 Common flesh color 464 Fine flesh color ^ 464 A beautiful color for carriages 464 Cream color 464 Pearl gray. , 464 Fawn color 464 Blue 465 Buff 465 Straw : 465 Drab 465 Steel 465 1 496 COMTENTS. Purple rAoi 465 Violet. 465 French gray , 465 SUver. . . 465 Gold 465 Dark chestnut. 466 Salmon 406 Peach blossom .- 466 Drab 466 Lead 466 Chocolate 466 Dark red 466 Orange 466 Bright yellow 466 Dark yellow 467 Light yellow. .'. 467 Olive green 467 Light gi^n. 467 Grrass gre^n Invisible green. 468 468 Bronze ■. 468 Imitation of gold 468 Tar paint 468 Paint-driers 408 Milk paint .' 469 Lime whitewash. 469 Iti^ian. marble 470 CONTENTS. 497 FAOl Imitation granite 471 Oak Tarnish 471 Oil varnish. 471 Varnish for pictures 471 Varnish for unpaint^d wood 472 "Waterproof varnish for cloth, &c 472 Pendulums (see time, seasons, &o.), Illustrated 31 Plakk Measuke 62 Table, showing the contents (board measure) of planks of various dimensions 67 Plants (see hedge plants) 130 Pork, eelatiok of Corn to. 194 Table, showing the price of pork per lb., at different prices per bushel for corn 194 To find the price of pork per lb., the price of corn being given . . 195 To find the price of corn, the price of pork being given 195 Post and Rail Fence (see fences). Illustrated , - 128 Post and Board " (see fences) .•? 128 Powers, the Mechanical, Illustrated 279 Practical Beader, to the 11 Preface 7 Pressure of Earth against Walls 255 Printing, facts about 260 The different types used in book printing 260 The number of ems made by different type 201 Press-work 262 Sizes of books 262 498 CONTENTS. PAGl Table, showing the number of leaves and pages from the folding of a sheet 2G3 Pkopeeties and Composition or Milk, Butter, &a 387 Proportion op Alcohol in Lkjuors 190 " Weight to Bulk op various Substances 193 Pullet, the. Illustrated. . 290 R. Rail Fence, Illustrated 126 Rain, average fall of (see temperature and average fall of rain).. S7 Relative value of Gold and Currency 243 Table, showing the greenback value of $1 at the different quota- tions of gold. ." 243 Highest quotation of gold in New York during the civil war. . -244 " " " " Richmond " » " " .. 244 English bonds and consols, explanation of. 244 " Selling Short," explanation of 245 " Seller's Option," " " 245 "Buyer's Option," " " 245 Stock Quotations, " " 246 " Bull," commercial definition of 245 "Bear," " " " 245 "Stag," " " " 245 Rods, LionxsiKO 251 To construct a lightning-rod 251 Roots, Square and Cube, table op 303 CONTENTS. 499 PAoa Rotation of Crops 378 field crops 385 " garden crops 3?G s. SOANTLINO MeASTJKE 72 Table, showing the contents (board measure) of scantling of Tarious dimensions 72 Screw, the. Illustrated 288 Seasons, Time, &c. (see time), Illustrated 19 Seeds, weight of, as established by the Legislatures of the different States ■■ 189 Seeds, oil per cent, in 191 " quantity of, to sow or plant per acre, &c 192 Sheep, to find the age of 208 Soiling Cattle 401 Experiments by the author 402 Arrangement of crops for soiling. 405 Arguments in favor of soiling 409 Soils, Exhaustion of 320 Table, showing the organic substances removed from the soil in 1000 lbs. each of the various crops 321 Table, showing the inorganic matter removed from the soil in 1000 lbs. each of the various crops.,. , 321 Table showing the kinds of inorganic matter removed from the soil in 1000 lbs. each of the various crops 322 500 CONTENTS. PAOS Analysis of the hop, showing the elements it removes from the soil 323 Table, showing amount of inorganic matter removed from the soil by ten bushels of grain 324 Soils 311 Classification of soils ' 312 To analyze soils 813 G-eneral results of analytical examinations of soils 316 Table, showing the composition in 1000 parts of different soils. . 317 Analytic table of three very fertile soils 317 Analytic table of arable lands of great fertility 318 Depth of soil — its importance 318 Table, showing the weight- per cubic foot of the different kinds of earth 319 SOLDEHS 473 Lead solder. 473 Tin solder....: 473 Solid Matter and Water in articles of Diet 188 Table, showing the proportion of solid matter and water in 100 parts each of the various articles of diet 188 Speoifio G-ravitt (see gravity), Illustrated 182 Square Measure, table 165 Squares and Square Roots, table of, from 1 to 1000 303 Steamino Food tor Stock 415 Report of the Department of Agriculture 416 now to make a steaming apparatus 421 Prindle's Agricultural Steamer and Cauldron (Illustrated) 423 CONTENTS. 501 PAOI Advantages of cooked food 425 Steam Cultivation, Illustrated 450 Advantages claimed 452 Keport of the Uoyal Agricultural Society 455 Steam Potter, rules for computing 140 Stock, Steamino Food fob. 415 Stock Quotations 240 Strenoth, HuifAN 135 Strength of Materials (see materials, strength of) 204 Success in Business 240 Short credits 240 Small profits 240 Economy in expense 247 Marking goods. .' 247 Surveyors' Measure, table 16f T. Temperature and fall of Rain, averaoe of 37 Table, showing the average temperature of the four seasons at points on the Pacific and Atlantic coasts, and the interior of this continent 37 Periodical rains, region of. ' 38 Frequent rains, " 39 Scanty rains, " 39 Table, showing the latitude and, longitude, the elevation above the level of the sea, the mean annual temperature, and the average fall of rain in various places in the United States 49 Tile Drainino (see draining) 302 502 CONTENTS. Timber, Measukement of, Illustrated 61 Board measure 62 To ascertain the contents (board measure) of board?, scantling, and plank 62 Table, showing the contents of inch boards from 6 inches to 30 broad, and &om 4 to 24 feet long 63 Square timber. 65 To measure square timber 65 Plank measure ; 62 Table, showing the contents (board measure) of planks of various dimensions 67 Round and square timber 64 To measure round timber, Illustrated 65 Logs reduced to inch-board measure 70 Table, showing the number of feet (board measure) of inch boards contained in round saw-logs of various dimensions. ... 71 TnnE, Seasons, &c., Illustrated 19 To reduce longitude to time 19 Time, apparent and mean , 21 To ascertain the length of the day and night 21 Pendulums, Illustrated 31 To find the length of a pendulum for a given number of vibra- tions per minute 3] To find the vibrations per minute, the length of the pendulum being given 32 Measure of time, table. Illustrated 25 Division of the calendar year 26 CONTENTS. 503 TiO% Old style (0. S.) and new style (N. S.) 27 Decade, what period it is 27 Century, « " « 27 Lunar Cycle, what it is 27 Grolden Number, what it is • • . 27 Solar Cycle, what it is 28 To find the lunar cycle or golden number 28 Table, showing the number of days from any day in the montt to the same day in any other 28 Table, finding the number of days between two dates 20 Table, showing the planets, &c., in the solar system 27 Distance of the planets, and size compared with the earth 32 V. United States Bonds, explanation of. 242 Five-Twenties 242 Ten-Forties 242 Seven-Thirties 212 Sixper cents, of '81 243 United States Monet, table 143 " " Gold coin I'tQ " " Silver coin 1^7 " " Copper coin 143 Alloy of Gold and Silver. 147 V. Velocity, table of 1™ 501 OONTENTS. W. rAoa Wages 224 Table of wages at $3 to $25 per month of 20 working days 224 Waoon-beds, Capacity or, Illustrated 82 'I'o find the contents of wagon-beds 82 ■ Walls, fbessure of Eabtu against 255 Water Ram, Illustrated.. 103 Weather , 33 Table, for telling the weather through all the lunations of the year 33 Wedge, the, Illustrated 286 Weights and Measures, tables of IT. S., Illustrated 145 Long measure 167 Hair's breadth.. 108 Gunter's chain 108 Bopes and cables 108 Greographical and nautical measure 109 Miscellaneous long measures 108 Measures of circles 23 Measures of surfaces 105 Land measure 43 Paper measure 203 Liquid measure 100 Standard gallon measure 161 Dry measure 102 Standard bushel measure 162 Imperial or British bushel. 163 Miscellaneous dry measures 163 COHTENTS. 505 rAsi Measure of ■weights, avoirdupois 153 Troy weight. 156 Troj weight reduced to avoirdupois 157 Diamond measure 157 Measure of time 25 Measure of value 145 Standard of gold and silver 148 Miscellaneous weights and measures 153 Heaping measure 1G3 Barrel measure •. 153 Ton weight and ton measure 172 A sack of wool 155 A pack of wool ,. 155 A trussof hay 56 A load of hay 56 A bale of hay 56 A firkin of butter 155 A bale of cotton 155 Weight, Compute, of Cattle, Illustrated 209 ■Weight of Lead Pipe 112 Weights of Gkais, Seeds, &o 189 Table, showing the weight of grain, seeds, &o., as established by the Legislatures of the different States 189 Weight of Sqcaee Rolled Iron 273 Table, showing the weight of square rolled iron from tV inch to 12 inches, and 1 foot long 273 Weight of Round Rolled Irok 275 606 OONTENTS. PAe« Table, showing the weight of round rolled iron from i inch to 12 inches diameter and 1 foot long 275 WEICni, PROPORTIOS OF, TO BULK OF VARIOUS SUBSTANCES 193 Table, showing the weight per cubic foot of various substances, • and the number of cubic feet required to make a ton of each.. 193 Wheat, depth of Sowino. 193 Wheel and Axle 284 Whitewash 4G9 Wind 35 Tiible, showing the force and velocity of wind 36 To find the force of wind acting against a surface 35 Wire Fences. 134 i Wood Measure, Illustrated 62 To ascertain the number of cords in a given pile of wood 62 s li^'P:: fev :\v -^' .>:)?» ■?sS3; '■ mm^':-^ m 'i-'m I -/^ ■!K '^v 'f' '\: mw<^' ■:*^ ^:*../