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 1 1 ullW/M 
 
THE 
 
 Gentleman and Tradefoian*s 
 
 COMPLEAT ASSISTANT S 
 
 Or, the Whole Art of 
 
 Meafuring and Eftimating, made Eafy. 
 
 IN THREE PARTS. 
 
 PART I. 
 
 Contains, the Names and exaft 
 Prices of all Artificers V/ork 
 in General, relating to Build- 
 ing.viz.fuch as Bricklayers, 
 Carpenters, Joiners, Car- 
 
 vers, Plaisterers, Paint- 
 ers, Masons, Plumbers, Gla- 
 ziers, Slaters, Paviours, 
 Smiths, &c. 
 
 P A Pn. T ir. 
 
 Contains, the Method of fquaring 
 Dimenfions, or meafuring the 
 faid Artificers Works at large, 
 thro’all theirvarious Branches, 
 both by Crofs- Multiplication 
 and infpeftionary Tables, to 
 
 the Extent of an hundred Feet 
 fquare, including Tables, which 
 (hew the Number of Squares, 
 fquare Yards, and alfo the Square 
 Root of any Number of Feet, &c, 
 whatfoever required. 
 
 PART III. 
 
 Contains, Geometrical Defini- 
 tions of Lines, Angles, &c. 
 with the moft ufelul and ne- 
 ceffary Problims, or the 
 
 Rudiments of Practical Geo- 
 metry, IVlenfuradon of Super- 
 ficies, &c. 
 
 Illuftrated with COPPER-PLATES.' 
 
 The Whole made perfedfly eafy and intelligible to the 
 meanefl Capacity. 
 
 By J. LEAD 3 EATER, and Assistants. 
 The SECOND EDITION. 
 
 LONDON: 
 
 Printed by Samuel Chandler, 
 
 For H. Webley, Bookfeller, in Holborn, near Chancery-Lane i 
 and W. Todd, Accomptant, in Adam and Eve Court, op|)olit© 
 Foland-Street, Oxford-Road. 
 
 M.D.CCXXIX* 
 
Digitized by the Internet Archive 
 in 2017 with funding from 
 Getty Research Institute 
 
 https://archive.org/details/gentlemantradesmOOIead 
 

 THE 
 
 PREFACE. 
 
 I F we do but confider what abfolute neceflity 
 the Art of MEASURING is, in the Work 
 of BUILDING, fuch as the buying in Mate- 
 rials thereunto belonging, as Board, Timber, 
 Stone, &c. and alfo, the meafuring of the fe- 
 veral Artificers work employed therein (which 
 meafure their refpedlive works, either by the 
 foot or yard, fquare of lo feet, rod, or the like); 
 and alfo, how few of the great number of the 
 faid Artificers are capable of meafuring, valuing, 
 or eftimating their own work; not only the 
 Journeymen, or labouring part of Artificers, but 
 even fome Mailers themfelves, perhaps, labour 
 under this misfortune, and can no- ways be made 
 properly capable of underftanding the fame, 
 
 without a Tutor. And again, confidering the 
 
 great benefit which will redound to Gentlemen 
 and Others, who have occafion to buy materials 
 for (and alfo compleat the charge of their build- 
 ing) themfelves, in every particular. In conli- 
 deration of which, I have here, for their great 
 convenience and advantage (together with able 
 
 a 2 Affiftants, 
 
Iv PREFACE. 
 
 Affiftants, In the pradical Parts of Building, 
 &c.) given the Names, Rates, Qualities, and 
 Quantities of the feveral Materials thereunto be- 
 longing, in the mofl: plain and familiar vvay ; 
 with the neareft eftimaie pofliblc, of their prices, 
 and of the works of the feveral Artificers em- 
 ployed in Building; and that, not only as a 
 TalTc-Mafter, but at luch moderate rates, as 
 will, I prefume, be found both reafonablr and 
 agreeable to all thofe concern d therein; by which 
 afiiftance, Eftimations, Valuations, and Con- 
 irads, may be made, without the lead difad- 
 vantage to either party. 
 
 I have alfo, in the Second Part hereof, 
 taken the pains to exemplify, at large, (by the 
 mod familiar Method of fquaring Dimenfions) 
 the works of the faid Artificers, through all their 
 various branches, both by Crofs-Mulriplication, 
 and alfo by infpedionary T ables, ready calcu- 
 lated, which (hew the exadl Content of any 
 Meafurement taken in Feet, Inches, and Parts, 
 to the extent of fifty (or, if required, to an hun- 
 dred) feet fquare ; including alfo, Tables of 
 Cubical, or Solid Meafure, with others, for 
 finding the number of Squares, Yards, Square 
 and Square Root, of any number of Feet, &c, 
 whatfoever required ; by which help, any per- 
 fon, only acquainted fo far with figures as to be 
 able to add two numbers together, may meafure 
 either Board, Timber, or Scone, and alfo Brick- 
 layers, Carpenters, Joyners, Plaiderers, Painters, 
 Glaziers, Paviours, and Slaters works, with the 
 
 Treated eafe and exa<dnefs, by only taking the* 
 ^ Length 
 
PREFACE. V 
 
 Length and Breadth of fuch work (whatever it 
 be} by a two-foot rule, divided into Inches and 
 Parts. 
 
 The Third Part, contains a choice Collec- 
 tion of Definitions and Problems, preparatory to 
 Practical Geometry, a Science of the 
 greateft importance to all Artificers in general, if 
 but well underftood, being familiarly adapted to 
 the unexperienced, in moft refpeds whaifoever, 
 concucing to their fpeedy improvement ; and 
 amongft which will be found, feveral particulars 
 of the greateft ufe and benefit, never before 
 treated of by any Authors whatfoever : there- 
 fore, in confideration of this Work, the Reader 
 will find no pains hath been fpared to render the 
 faid Book, not only in particular, but alfo, 
 generally ufeful ; and doubt nor, but what it 
 will meet with approbation from the Public, 
 having already (as a proof of its Utility) been 
 favoured with feveral Subfcriptions, fome of 
 which, are perfons of great experience and repute 
 amongft thofe of the Building branch, who have 
 exprefs’d their higheft opinion thereof in its fa- 
 vour ; by which, we have this great encourage- 
 ment now to hope, that the fame will undoubtedly 
 prove as intended, viz. A uieful and profitable 
 Assistant to all whomfoever it may concern; 
 which, that it may, is the hearty defire of the 
 AUTHORS. 
 
 SUB- 
 
[ 6 ] 
 
 SUBSCRIBERS NAMES. 
 
 C Hriftopher Hooke, Efq; 
 
 Samuel Dickinfon, Efq-, 
 
 Mr. Henry RufieJ, Painter to his Majefty 
 
 A 
 
 Mr. Aaron Auftin, Mafon 
 
 B 
 
 Mr. David Bolton, Schoolmafter 
 Mr. Thomas Belflier, Carpenter 
 Mr. George Blackford, Carpenter 
 Mr. John Beals, ditto 
 Mr. William Butterfield 
 Mr. George Burafton, Joiner 
 Mr. Eleazer Brown, Carpenter 
 Mr. Thomas Breed 
 Mr. Edward Bennitt,’ Painter 
 Mr. Robert Barron, Plumber 
 Mr. Thomas Brown, Plaifterer 
 Mr. Samuel Browning, Sawyer 
 Mr. John Bowman, Carpenter 
 Mr. Bolt 
 
 Mr. Charles Bufs, Carpenter 
 Mr. John Buddie, ditto 
 Mr. Thomas Beaumont, ditto 
 Mr. James Bone, ditto 
 Mr. Richard Beadle, ditto 
 
 C 
 
 Mr. John Cole, Builder 
 
 Mr. William Cooke, Capenter 
 
 Mr. John Catling, Bookfeller 
 
 Mr. John Collard, Accomptant 
 
 Mr. Samuel Chandler, Printer, Holborn 
 
 Mr. Richard Collins, Carpenter 
 
 Mr. Clark, ditto 
 
 Mr. John Cooper, ditto 
 
 Mr. William Cawley, Joiner 
 
C 7 1 
 
 Mr. John Coucher, Plaifterer 
 Mr. James Chalmers, Bookbinder 
 Mr. Jofeph CoUier,. Carpenter 
 Mr. William Collier, ditto 
 Mr. James Carter, Joiner 
 Mr, Benjamin Collier, Ironmonger 
 
 D 
 
 Mr. Robert Davis, Schoolmafter 
 Mr. James Darley, Carpenter 
 Mr. William Davis, ditto 
 Mr. Draper, Bricklayer 
 Mr. Thomas Davey, Carpenter 
 Mr. J. Dunn, ditto 
 Mr. John Davies, ditto 
 Mr. Richard Dawfon, Joiner 
 
 E 
 
 Mr. John Emmitt, Painter 
 Mr. Robert Elliot, Smith 
 
 Mr.ESdBurgefs } at Newberry 
 
 F 
 
 Mr. Richard Forfter, Viftualler 
 
 G 
 
 Mr. Thomas Gwatkins, Trumpeter 
 Mr. John Goodifon 
 Mr. Thomas Green, Painter 
 Mr. Groves 
 
 Mr. John Gill, Carpenter 
 
 H 
 
 Mr. John Hobcraft, Carpenter and Builder 
 
 Mr. John Hobcraft, junior 
 
 Mr. Lawrence Hall 
 
 Mr. James Harrifon, Carpenter 
 
 Mr. William Harrifon, diuo 
 
 Mr. Charles Heath, ditto 
 
 Mr. John Hurff 
 
C 8 ] 
 
 Mr. Theophilus Holdright, Shagreen Watch-Cafe- 
 Maker 
 
 Mr. Edward Hodfon, Bricklayer 
 Mr. Abralom Hughes, Carpenter 
 Mr. Samuel Hogg, Joiner 
 Mr. John Hands, Carpenter 
 
 J 
 
 Mr. Charles Jacks, Carpenter 
 Mr. John Jee 
 
 Mr. Thomas Jordan, Glover ' " 
 
 K 
 
 Mr. James Knox, Tallow-Chandler , ^ 
 
 Mr. Samuel Knowles, Carpenter 
 
 L 
 
 Mr. Thomas Linton, Bricklayer 
 Mr. Jofeph Law, Plumber 
 Mr. John Lovett, Glazier 
 
 M 
 
 Mr. John Morrow, Joiner 
 Mr. James Morcey, Bricklayer 
 Mr. John Mofs 
 
 Mr. H. Thomas Mafkall, Apothecary 
 Mr. Thomas Miller, Carver 
 Mr. William Millis, Carpenter 
 Mr. Abraham Manby, Joiner 
 Mr. Thomas Mitchel, Carpenter 
 Mr. Samuel Marfhal, Bricklayer 
 Mr. Ifaac Moore, Carpenter 
 Mr. Jonathan Monkhoufe 
 
 N 
 
 Mr. James Nclfon, Mafon 
 Mr. George Newton, Joiner 
 Mr. John Northorp 
 Mr. Thomas Norris, Carpenter 
 Mr. John Newberry, ditto 
 Mr. ifaac Nicholfon, ditto 
 

 [ 9 ] 
 
 O 
 
 Mr. Rees Owen, Carpenter 
 
 Mr. Thomas Oakley, Joiner 
 
 Mr. George Oxford, Woollen Mannfafturcr 
 
 Mr. Jofeph Hatherill, Schoolmafter 
 
 P 
 
 ' Mr. John Pennington 
 Mr. Thomas Penny, Painter 
 Mr. William Petty, Carpenter 
 Mr. John Pearfon, Bricklayer 
 Mr. John Flaw 
 
 Mr. Richard Pattinton, Joiner 
 
 Mr. Thomas Quintry 
 Mr. Edward Qiiinn 
 
 R 
 
 Mr. Thomas Richards, Painter 
 Mr. John Roberts 
 Mr. Edward Roberts, Plaifterer 
 Mr. William Roberts, ditto 
 Mr. Thomas Rofs, Smith 
 Mr. David Rhodes, Carpenter 
 Mr* William Robinfon, ditto 
 
 S 
 
 Mr. Harry Sanfome 
 
 Major Slingfby 
 
 Mr. William Stanton, Joiner 
 
 Mr. William Simpfbn, Carpenter, &c. 
 
 Mr. David Smith, Carpenter 
 Mr. Henry Stanford, ditto 
 Mr. Andrew Thornthwaite 
 
 Mr. Tringham, Engraver 
 
 Mr. William Toft, Carpenter 
 Mr. Thomas Thompfon 
 
 b 
 
[ 10 ] 
 
 W 
 
 Mr. Fuller White 
 
 Mr. James Wood, Bricklayer 
 
 Mr. John Webb, Carpenter 
 
 Mr. Thomas Watfon, Bricklayer 
 
 Mr. Ambrofe Williams 
 
 Mr. Jonathan Wilkinfon, Cabinet-Maker 
 
 Y 
 
 Mr. Mofes Young, Painter 
 Mr. Edward Yaw, Carver 
 Mr. Thomas Yates. 
 
 C O N- 
 
[ xi J 
 
 CONTENTS, 
 
 parti. 
 
 CHAP. 
 
 Page 
 
 O 
 
 ^ prices of Bricklayers Work 
 
 2 X Of Carpenters and Joiners Work 
 
 3 Of Plailferers Work 
 
 4 Of Carvers Work 
 
 5 Of Painters Work — 
 
 6 Of Paviours Work 
 
 7 Of IVIafons Work ^ 
 
 8 Of Plumbers Work ^ 
 
 9 Of Glaziers W^ork - \ 
 
 10 Of Smiths Work 
 
 I X Of fquaring Dimenfions ; or, the Works relatino- 
 
 to all the above Artificers branches, exemplified 
 at large, both by Examples in Crofs-Multipli- 
 A in^pe^Sionary Tables, from 59 to loc 
 
 A I able, (hewing the value of any kind of Works, 
 
 ^rform d after the rate of fo much per Foot, 
 lard. Square, &c. cr Merchandizing- Ware, 
 at any given price whatfoever^ from i farthincr, 
 
 to 10 pounds, the integer ^ 
 
 Explanation and Ufe of the above Table, by vari- 
 ous Examples ' — _____ 
 
 20 
 
 4r 
 
 43 
 
 44 
 
 47 
 
 48 
 
 51 
 
 54 
 
 58 
 
 106 
 
 III 
 
 part II. 
 
 CHAP. 1. 
 
 Tables of Superficial, or Flat Meafbre, ready cal 
 culated and caff up, from i to 50 ; or (if re- 
 quired, only by the help of Addition) to an 
 
 hundred foot fquare, from — 
 
 A Table of Cubical, or Solid Meafure - 
 
 b 2 
 
 122 to 
 
 T S 2 
 ^ able. 
 
192 
 
 xii CONTENT S. 
 
 A Table, fhewing the number of Squares of lOO 
 
 feet, contain’d in any number of feet 
 
 A Table, fhewing the fquare Yards contain’d in any 
 
 number of feet — — — — . — 194 
 
 PART III. 
 
 C H A P. 1 . 
 
 An introdudllon to Menfuratlon, &c. * — - — 199 
 
 An explanation of the Square Root — — 201 
 
 How to make a true Square, by two Methods — 206 
 
 To find the length of the Hip-Rafter of a Building, 
 both inftrumentally and arithmetically ; the roof 
 being either a fquare, beyil, or flat pitch — ^ 21O 
 
 CHAP. II. 
 
 Of Geometrical Definitions, Sec, — » — — w,. 142 , 
 
 3 Of Geometrical Problems — ^ 219 
 
 4 Menfuration of Superficies -a—.- , — . 22^ 
 
 fi R R A T A. 
 
 Page 1;. line 12. for 7s. to los. per rod, read 7 1 . to lol 
 page 99. at the bottom, for 2 199 (the content of the Sum) 
 read 2 inches, 9 parts, 9 feconds. 
 
 ( 
 
t I 1 
 
 THE 
 
 Gentleman and Tradelman’s 
 
 CoMPLEAT Assistant, 
 
 PART I. 
 
 CHAP. I. 
 
 Of Bricklayer’s IVork, 
 
 The different DimenJiojis and Sizes of Bricks. 
 
 I HERE are feveral fizes of bricks, yec 
 I the ftatute allow but one 5 the fcant- 
 lings of w^hich are thefe, viz. the moulds 
 in which bricks are ufually made, ought to be 
 in length (in the infide) 9 inches, in breadth 4 
 inches and an half, and in depth, or thicknefs, 
 
 2 inches and a half, of which lize the brick 
 ought to be ; (tho’ feldom found to hold out fo) • 
 
 B for 
 
2 ^he Gentleman and Tradesman’s 
 
 for the drying and burning will abate fomething 
 in the ihicknefs, but very little in the breadth ; 
 and in the length inconfiderable. Brick-work 
 is meafured by the rod or perch, containing i6 
 feet and an half, fuperficial meafure, of which 
 I fliall fpeak more at large hereafter. 
 
 The quantity of lime and fand accounted 
 fufficient to make mortar to lay 4500 bricks, (or 
 one rod of wall) is one hundred and a quarter of 
 lime, and two load and an half of fand ; the 
 price of which, are both fomewhat various ; 
 and the meafure of lime, in fome places, is 
 eight heap’d bufliels. About London, lime is 
 ufually 9s. the hundred, and fand about 3s. 6d. 
 per load. 
 
 Of Tiki ; their ^alit)\ Size^ and Make. 
 
 Tiles are of divers kinds j but for building^ 
 principally, two forts, viz. plain, and ridge 
 tiles: The length of a plain tile, is ufually 10 
 inches and an half, its breadth 6 inches, and its 
 thicknefs near three quarters of an inch. 
 
 Of their Rate and Scale. 
 
 Tiles are rated and fold, after the manner of 
 bricks, viz. by the thoufand ; about 22 or 23 
 hundred weight grofs, they account a load ; one 
 tile weighs about two pounds and an half ; fo 
 that about 1000 tiles make a load. Tiling is 
 meafured by the fquare of 10 feet every way : 
 The quantity of mortar required to every fuch 
 
 fquare 
 
CoMPLEAT Assistant, & c . « 
 
 fquare of tiling, is about a quarter part of whac 
 is ufually allowed for a rod of brick-work ; but 
 it ought to be much dryer, and better wrought. 
 
 Of Laths ; iheir Scantlings and ^ality. 
 
 Laths are principally of two forts, allowed by 
 ftatute ; the one of 5 feet long, the other, of 
 4 feet ; thofe of 5 feet, have 5 fcore, or 100 
 in the bundle; the other, of 4 feet, have fix 
 fcore, or 120 in the bundle; and of either of 
 thefe lengths, there are three forts : firfi:. Heart 
 of Oak; fecondly, Sap-laths ; and, thirdly. 
 Deal-laths : as to the reafon of thefe different 
 lengths, the goodnefs of the fluff of which they 
 are made, &c. is, by reafon all rafters, upon 
 which the laths are nail’d, are not fpaced at an. 
 equal diftance; and for the goodnefs of the fluff 
 thofe of Heart of Oak being the befl, are moft 
 neceffaiy for tiling ; the fecond fort of Sap-laths 
 are for plaiflered walls; and thofe of Deal, for 
 cielings. 
 
 Of the Rate and Price^ 
 
 In refpedl to the prices of laths, it muft 
 needs be various, feeing there is fo great a difpa- 
 rity in the commodity ; but in general, are from 
 IS. to 2s. per bundle; the Fleart laths are about 
 2S. the- bundle. 
 
4 7 he Gentleman and Tradesman’s 
 
 Of the Di/lance Laths are ufually laid upon the 
 Roof of a He life one from another. 
 
 The diftance in laying of laths one from ano- 
 ther, is various, diflering more in fome places 
 than in others; but 3 inches and an half, and 4 
 inches, are ufual diftances, with a counrerdath 
 between rafter and rafter ; or two, if the rafters 
 ftand at a very large diflance. The quantity of 
 nails required for laying on a bundle of laths of 
 
 5 feet long, are 500 ; and to the other of 4 feec 
 long, 600, fix fcore to the hundred ; and the 
 number of laths and tiles fufficient to cover a 
 vard fquare, (that is, 3 feet every way) are three- 
 fcore tiles laid at a 7-inch gauge ; but tiling (as 
 1 faid before) is meafured by the fquare, fo that 
 it will require 665 tiles, or nearly one peck of 
 pins, and one bundle of laths ; and one tiler, in 
 a day, will cover fuch a fquare. 
 
 T'he Prices cf Bricks. 
 
 V L 0/ Foundation. 
 
 Foundations digging, per yard cube 006 
 Carrying away ditto, per yard ditto 019 
 Red flock bricks per thoufand — i lo o 
 
 Grey ditto ditto — i I2 o 
 
 Place bricks ditto o I7 6 
 
 Mixt bricks, red and grey, ditto — 12 O 
 
 Cutting bricksforrubb’dand gauged- 7 
 work, per thoufind, from 40 s. to 3 ^ 
 
 Plain tiles per thoufand ^ ■ i i o 
 
 Pan 
 
} 
 
 CoMPLEAT Assistant, & l \ 
 
 Pan-tiles per thoufand 3 
 
 Pan-tiles, Qutch glaz’d, per hundred, 
 
 ditto 
 
 Gutter tiles, per hundred o 
 
 Brick- work done with all the place - 1 
 brick, in London, per rod, or 272 y ^ 
 feet, at the ftatute thicknefs of a 1 ^ 
 
 brick and an half thick . 
 
 The fronts faced with grey flock } 
 
 brick, per rod ditto S 7 
 
 Fronts, with rubb’d returns,exclu{ive 
 of the arches, per rod, from 7I. to 
 One rod ol brick- work, at the ftand- 
 ard thicknefs of a brick and "an 
 half, will require 4500 bricks 
 'nearly, one hundred and a quarter 
 of lime, and two load and an half 
 
 ' of fand — 
 
 Gauged red and grey arches, fet in 
 putty, per foot fuperficial 
 Arches of any fort, rubbed with fine 
 red bricks, per foot, from i6d. to 
 Workmanfhip only, from lod. to 
 Rubbed returns, per foot fuperficial 
 Groins cut toarches, perfoot running 
 Plain facios rubbed, per foot 
 Workmanfhip only, ditto 
 Cornices, with fine rubbing bricks, 
 from 3s. .6d. per foot, lineal mea 
 
 fuTe, to 
 
 Workmanfhip only, from 3s. to 
 
 5 
 
 > 
 
 8 
 
 ^7 
 10 
 
 10 
 
 10 o 
 
 o 00 
 
 
 ■! 
 
 o 
 
 4 10 
 
 3 10 
 
 Under- 
 
6 The Gentleman and Tradesman’s 
 
 Underpinning, per foot, running, ^ 
 
 from 6d. to — ^ 7 
 
 Workmanfhip only, from id. to o o i 
 Digging and bricking of new wells, ^ , 
 
 per foot, the depth only conlidered ^ ^ 7 
 
 Workmanfhip only ■ o 2 lo 
 
 Place bricks paving, laid flat and dry, 1 
 
 per yard Superficial, or g fquare ro i 6 
 feet ^ 
 
 In mortar, per yard ditto o i 8 
 
 Note, That 32 ftatute bricks laid 
 flat, or 64 edge-ways, will pave 
 a yard fquare. 
 
 Twelve-inch tile paving, per yard 
 
 Ten-inch ditto per yard 
 
 Plain tiling per fquare, or 100 fuper- 
 
 ficial feet — 
 
 Workmanfhip only, from 3s. 6d. to 
 To find all materials, exclufive of 
 tiles, per fquare — — 
 
 Old plain tiling, per fquare, ripped 
 Pan-tiling, not pointed — 
 Ditto pointed, per fquare - 
 Workmanfhip, when pointed, per 
 
 fquare — 
 
 Pan-tiling with old pantiles, per fq. 
 Pan-tiling, Dutch glazed, per fquare 
 Englifh ditto, per fquare — 
 
 o 3 
 
 0 3 
 
 1 8 
 
 o 4 
 o II 
 
 o 14 
 
 0 18 
 
 1 I 
 O 2 
 
 0 10 
 
 1 12 
 
 I 9 
 
 10 
 
 2 
 
 O 
 
 O 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o 
 
 6 
 
 6 
 
 o 
 
 The 
 
 
CoMPLEAT Assistant, & c . 7 
 
 The materials required for a fquare of plain 
 tiling, at a 6 inch gauge, is feven hundred and 
 fixty tiles, one peck of tile- pins, two bufliels of 
 lime, five bufhels of fand, one bundle of laths, 
 and between five and fix hundred of nails. One 
 fquare is commonly accounted a day’s work of a 
 trowel-man and labourer. 
 
 A TABLE 
 
8 ^be Gentleman and Tradesman’s 
 
 A TABLE of Brick-Work, reducing any 
 Thicknefs thereof, to the cuftomary Thick- 
 nefs of one Brick and an half, ready caft up. 
 
 The Thicknefs of the Wall in Bricks and half Bricks. 
 
 I * a brick 1 i brick | i \ brick [ 2 bricks 
 
 The Wall reduced to One brick and an half. 
 
 
 
 
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 0 00 
 
 1 22 
 
 2 45 
 
 0 00 
 
 1 22 
 
 2 45 
 o 00 
 
 The 
 
CoMPLEAT Assistant, 9 
 
 A TABLE of Brick-Work, reducing any 
 Thicknefs thereof, to the cuftomary Thick- 
 nefs of one Brick and an half, ready cart up. 
 
 The Thicknefs of ihe Wall in Bricks and half Bricks. 
 
 [ 2 ^ bricks | 3 bricks | 3 bricks | 4 bricks. 
 
 The Wall reduced to One Brick and an half. 
 
 
 1 
 
 
 q- 
 
 f. 
 
 r. 
 
 q- 
 
 f. , r. 
 
 q 
 
 . f. , r. 
 
 f 
 
 q 
 
 . f. 
 
 I 
 
 quar. 
 
 0 
 
 1 
 
 43 
 
 0 
 
 2 
 
 0 
 
 1 0 
 
 i 
 
 2 
 
 22 1 0 
 
 2 
 
 45 
 
 ’2 
 
 quar. 
 
 0 
 
 3 
 
 22 
 
 I 
 
 0 
 
 0 
 
 ‘ 
 
 0 
 
 45 i I 
 
 I 
 
 22 
 
 3 
 
 quar. 
 
 1 
 
 I 
 
 00 
 
 d 
 
 2 
 
 0 
 
 1 
 
 5 
 
 00 ' 2 
 
 f 
 
 0 
 
 00 
 
 i 
 
 , 
 
 , 
 
 2 
 
 45 
 
 2 
 
 0 
 
 0 
 
 2 
 
 I 
 
 ' 1 ■ 
 
 22 I 2 
 
 2 
 
 45 
 
 ¥ 
 
 2 
 
 3 
 
 
 22 
 
 4 
 
 0 
 
 0 
 
 4 
 
 2 
 
 45 ' 5 
 
 I 
 
 22 
 
 3 
 
 5 
 
 0 
 
 00 
 
 6 
 
 0 
 
 0 
 
 7 
 
 0 
 
 00 j 8 
 
 0 
 
 00 
 
 cu 
 
 4 
 
 6 
 
 2 
 
 45 
 
 8 
 
 0 
 
 0 
 
 9 
 
 t 
 
 22 , 10 
 > 
 
 2 
 
 45 
 
 
 5 
 
 S 
 
 1 
 
 22 
 
 10 
 
 0 
 
 0 
 
 1 1 
 
 2 
 
 45 , 12 
 
 1 
 
 22 
 
 
 6 
 
 10 
 
 0 
 
 CO 
 
 1 2 
 
 0 
 
 0 
 
 M 
 
 0 
 
 00 1 16 
 
 0 
 
 oa 
 
 G 
 
 0 
 
 7 
 
 1 1 
 
 2 
 
 45 
 
 H 
 
 0 
 
 0 
 
 1 6 
 
 Z 
 
 22 j 1 8 
 
 i 
 
 
 lO. 
 
 Q 
 
 8 
 
 13 
 
 1 
 
 22 
 
 16 
 
 0 
 
 0 
 
 1 8 
 
 2 
 
 45 l2‘ 
 
 I 
 
 22 
 
 -c 
 
 9 
 
 »5 
 
 0 
 
 00 
 
 18 
 
 0 
 
 0 
 
 2 i 
 
 0 
 
 CO 24 
 
 0 
 
 00 
 
 c 
 
 10 
 
 16 
 
 2 
 
 45 
 
 20 
 
 0 
 
 0 
 
 23 
 
 I 
 
 22 I 26 
 
 2 
 
 45 
 
 e 
 
 1 1 
 
 18 
 
 I 
 
 22 1 
 
 22 
 
 0 
 
 0 
 
 25 
 
 2 
 
 45 [29 
 
 1 
 
 22 
 
 0 
 
 0 
 
 1 2 
 
 20 
 
 0 
 
 00 
 
 24 
 
 0 
 
 0 
 
 28 
 
 0 
 
 00 32 
 
 0 
 
 00 
 
 V) 
 
 '3 
 
 21 
 
 2 
 
 45 I 
 
 26 
 
 0 
 
 0 
 
 30 
 
 I 
 
 22 1 34 
 
 2 
 
 45 
 
 0 
 
 H 
 
 23 
 
 1 
 
 22| 
 
 28 
 
 0 
 
 0 
 
 32 
 
 2 
 
 45^37 
 
 i 
 
 22 
 
 
 *5 
 
 25 
 
 0 
 
 CO [ 
 
 30 
 
 0 
 
 0 
 
 33 
 
 0 
 
 OQ ‘ 4O 
 
 0 
 
 00 
 
 0 
 
 lb 
 
 z 6 
 
 2 
 
 45 j 
 
 32 
 
 o' 
 
 0 
 
 37 
 
 I 
 
 22 42 
 
 2 
 
 45 
 
 >-• 
 
 <u 
 
 17 
 
 28 
 
 1 
 
 22 
 
 34 
 
 0 
 
 0 
 
 39 
 
 2 
 
 45 45 
 
 I 
 
 22 
 
 G 
 
 iS 
 
 30 
 
 0 
 
 00 
 
 3 ^ 
 
 0 
 
 c 
 
 42 
 
 0 
 
 00 48 
 
 0 
 
 00 
 
 a 
 
 ti 
 
 19 
 
 3 * 
 
 2 
 
 45 
 
 38 
 
 0 
 
 0 
 
 44 
 
 1 
 
 22,50 
 
 2 
 
 45 
 
 OJ 
 
 20 
 
 33 
 
 1 
 
 22 
 
 40 
 
 0 
 
 0 
 
 46 
 
 2 
 
 45 53 
 
 I 
 
 22 
 
 fi— 
 
 2/ 
 
 '35 
 
 0 
 
 CO ' 
 
 42 
 
 0 
 
 0 
 
 49 
 
 0 
 
 CO 36 
 
 0 ( 
 
 00 
 
 G A 
 
lo T'he Gentleman and Tradesman's 
 
 A TABLE of Brick-Work, • reducing any 
 Thicknefs thereof, to the cuftomary Thlck- 
 nefs of one Brick and an half, ready caft up. 
 
 The Thicknefs of the Wall in Bricks and half Bricks. 
 
 I 4 \ bricks | 5 bricks [ 5 bricks | 6 bricks 
 
 The Wall reduced to One brick and an half. 
 
 
 
 r. 
 
 q- 
 
 f. 
 
 r. 
 
 f. 
 
 q- 
 
 r. 
 
 q- 
 
 f. 
 
 1 
 
 quar. 
 
 0 
 
 3 
 
 0 
 
 0 
 
 3 
 
 32 
 
 0 
 
 34 
 
 5 
 
 2 
 
 quar. 
 
 1 
 
 2 
 
 0 
 
 I 
 
 2 
 
 45 
 
 I 
 
 3 
 
 22 
 
 3 
 
 quar. 
 
 2 
 
 I 
 
 0 
 
 2 
 
 2 
 
 0 
 
 2 
 
 3 
 
 0 
 
 
 I 
 
 3 
 
 0 
 
 0 
 
 3 
 
 I 
 
 22 
 
 3 
 
 2 
 
 45 
 
 *0 
 
 2 
 
 6 
 
 0 
 
 0 
 
 6 
 
 2 
 
 45 
 
 7 
 
 I 
 
 22 
 
 0 
 
 3 
 
 9 
 
 0 
 
 0 
 
 10 
 
 0 
 
 0 
 
 1 1 
 
 0 
 
 0 
 
 Oh 
 
 4 
 
 12 
 
 0 
 
 0 
 
 *3 
 
 1 
 
 22 
 
 H 
 
 2 
 
 45 
 
 O' 
 
 5 ! 
 
 ‘5 
 
 0 
 
 0 
 
 16 
 
 2 
 
 45 
 
 18 
 
 I 
 
 22 
 
 .£• 
 
 
 18 
 
 0 
 
 0 
 
 20 
 
 0 
 
 c 
 
 22 
 
 0 
 
 0 
 
 G 
 
 0 
 
 7 
 
 21 
 
 0 
 
 0 
 
 23 
 
 I 
 
 22 
 
 25 
 
 2 
 
 45 
 
 0-, 
 
 3 
 
 
 24 
 
 0 
 
 0 
 
 26 
 
 2 
 
 45 
 
 29 
 
 I 
 
 22 
 
 
 9 
 
 27 
 
 6 
 
 0 
 
 30 
 
 0 
 
 0 
 
 33 
 
 0 
 
 0 
 
 fi 
 
 10 j 
 
 30 
 
 0 
 
 0 
 
 33 
 
 1 
 
 22 
 
 36 
 
 2 
 
 45 
 
 
 11! 
 
 33 
 
 0 
 
 c 
 
 3 ^ 
 
 2 
 
 45 
 
 40 
 
 1 
 
 22 
 
 r: 
 
 0 
 
 12 j 
 
 36 
 
 0 
 
 0 
 
 40 
 
 0 
 
 0 
 
 44 
 
 0 
 
 0 
 
 
 13 ; 
 
 39 
 
 0 
 
 0 
 
 43 
 
 I 
 
 22 
 
 47 
 
 2 
 
 45 
 
 0 
 
 H: 
 
 42 
 
 0 
 
 0 
 
 46 
 
 2 
 
 45 
 
 51 
 
 1 
 
 22 
 
 
 
 45 
 
 0 
 
 0 
 
 50 
 
 0 
 
 0 
 
 55 
 
 0 
 
 0 
 
 0 
 
 16! 
 
 48 
 
 0 
 
 0 
 
 53 
 
 I 
 
 22 
 
 58 
 
 2 
 
 45 
 
 6 J 
 
 17 ! 
 
 5 » 
 
 0 
 
 c 
 
 5 ^ 
 
 2 
 
 45 
 
 62 
 
 1 
 
 22 
 
 G 
 
 i8i 
 
 54 
 
 0 
 
 0 
 
 60 
 
 0 
 
 0 
 
 66 
 
 0 
 
 0 
 
 Z 3 
 
 G 
 
 * 9 ! 
 
 57 
 
 0 
 
 0 
 
 63 
 
 I 
 
 22 
 
 69 
 
 2 
 
 45 
 
 (Li 
 
 20 ! 
 
 60 
 
 0 
 
 0 
 
 66 
 
 2 
 
 45 
 
 73 
 
 1 
 
 22 
 
 cc: 
 
 21 t 
 
 = 63 
 
 o' 
 
 c 
 
 70 
 
 0 
 
 0 
 
 77 
 
 0 
 
 0 
 
 Expla 
 
CoMPLEAT Assistant, & c . 
 
 n 
 
 Explanation of the foregoing Tables. 
 
 At the head of the table you have the thick- 
 nefs of any wall in bricks and half bricks, 
 for any thicknefs ; from half a brick to fix 
 bricks thick, under feveral columns ; and in the 
 firft, towards the left hand, you may find the 
 number of rods that any wall contains upon the 
 fuperficies thereof, from i quarter of a rod to 
 21 rods ; and in leveral columns, you have the 
 rods, in the firft column, reduced to the cuftom- 
 ary thicknefs of one brick and an half, as will 
 beft appear by the following examples. 
 
 The Ufe of the Table. 
 EXAMPLE L 
 
 If a wall, meafured upon the fuperficies 
 thereof, be found to contain 9 rods, and the 
 wall be 2 bricks and an half thick, how many 
 rods doth the fame wall contain, it being reduced 
 to the cuftomary thicknefs of one brick and an 
 half? 
 
 Look for 9 rods (the meafure of the wall 
 upon the flat) in the firft column towards the 
 left hand, and find 2 \ bricks (the thicknefs of 
 the wall at the head of the table, and againft 9 
 in the firft column, and under 2 | bricks on the 
 head, you will find 15 rod ; and fo much doth 
 the wall contain. 
 
 C a 
 
 And 
 
>32 "The Gentleman and Tradesman’s 
 
 And fo by the following table you may find, 
 that if a wall upon the flat do contain 13 rod, 
 if that wall be 
 
 Thicknefs r. 
 
 X - 
 
 X 
 
 
 ; 4 
 
 I 
 
 
 8 
 
 
 
 *3 
 
 2 
 
 
 *7 
 
 2i 
 
 Bricks thick, it will contain. 
 
 21 
 
 3 : 
 
 ^ being reduced to one brick 
 
 >26 
 
 3 i 
 
 and an half. 
 
 30 
 
 4 
 
 ' 
 
 34 
 
 4 r 
 
 
 39 
 
 5 
 
 
 43 
 
 5 |- 
 
 
 47 
 
 <!• 
 
 1 
 
 2 
 
 0 
 
 1 
 
 2 
 
 0 
 
 1 
 
 2 
 
 0 
 
 1 
 
 2 
 
 f. 
 
 22 
 
 45 
 
 KJ 
 
 3 
 
 'T 3 
 
 G 
 
 «L> 
 
 o 
 
 CJ 
 
 E X A xM P L E II. 
 
 If a wall be 4 bricks thick, and contains 17 
 rod upon the flat, how much doth it contain, be^ 
 ing reduced ? 
 
 Look for 17 in the firfl: column, and againfl: 
 under 4 bricks you will find 45 rod, i quarter, 
 and 22 feet ; and fo much doth the wall contain, 
 being reduced ; and fo if a wall 
 
 contain 
 
 
 r. 
 
 C thick, it will con- *>28 
 tain, being re- >22 
 5 duced, J 23 
 
 q. f. 
 
 0 o 
 2 45 
 
 1 22 
 
 EXAM- 
 
*3 
 
 CoMPLEAT Assistant, 
 
 EXAMPLE III. 
 
 If a wall upon the flat do contain 13 rod and 
 3 quarters, and be 4 | bricks thick, how many 
 rod (hall that wall contain, when it is reduced ? 
 
 13 rod upon the flat, and 4 | bricks 
 thick, is — ^ 
 
 3 quarters of a rod, and 4 \ bricks 
 thick, is — ^ — 
 
 J3 i rods upon the flat, reduced, is 
 
 r. q. f. 
 
 I39 o ° 
 
 I 2 1 O 
 
 4J I O 
 
 EXAMPLE IV. 
 
 If a wall upon the flat do contain 8 rods, and 
 be 9 I bricks thick, how much doth that wall 
 contain, being reduced? 
 
 In the table (at the head thereof) you cannot 
 find 9 I bricks, but may find 5 j and 4 bricks 
 thick, which, together, make 9 | thick; then by 
 the table, 
 
 r. q. f. 
 
 8 rod by 5 I bricks thick, reduced, is 29 i 2 
 
 8 rod at 4 bricks, reduced, is ~ 2 1 i 2 
 
 8 rod at 9 I, reduced, will be — 50 2 4 
 
 therefore, thefe examples,. I prefume, may be 
 fuffieient to (hew the great ufe of thefe tables. 
 
 A 
 
14 ‘ I'he Gentleman and Tradesman’s 
 A fecond Table of Brick- work. 
 
 fq. feet 
 
 brick 
 
 I brick 
 
 I 1 brick 
 
 2 bricks 
 
 z^bricks 
 
 I 
 
 5 
 
 I I 
 
 16 
 
 22 
 
 27 
 
 2 
 
 I I 
 
 22 
 
 33 
 
 44 
 
 55 
 
 3 
 
 16 
 
 33 
 
 49 
 
 66 
 
 82 
 
 4 
 
 22 
 
 44 
 
 66 
 
 88 
 
 1 10 
 
 5 
 
 27 
 
 55 
 
 82 
 
 1 10 
 
 •37 
 
 6 
 
 33 
 
 66 
 
 99 
 
 132 
 
 165 
 
 1 
 
 3^ 
 
 77 
 
 ”5 
 
 •54 
 
 •93 
 
 8 
 
 44 
 
 88 
 
 132 
 
 176 
 
 220 
 
 9 
 
 49 
 
 99 
 
 148 
 
 198 
 
 248 
 
 lO 
 
 55 
 
 no 
 
 . ‘65 
 
 220 
 
 273 
 
 II 
 
 60 
 
 12 I 
 
 18 1 
 
 242 
 
 303 
 
 12 
 
 66 
 
 132 
 
 198 
 
 264 
 
 330 
 
 13 
 
 71 
 
 •43 
 
 215 
 
 286 
 
 358 
 
 H 
 
 77 
 
 •54 
 
 231 
 
 308 
 
 386 
 
 15 
 
 82 
 
 165 
 
 248 
 
 330 
 
 4^3 
 
 i6 
 
 88 
 
 176 
 
 264 
 
 352- 
 
 441 
 
 I? 
 
 93 
 
 187 
 
 281 
 
 375 
 
 468 
 
 i8 
 
 99 
 
 198 
 
 297 
 
 397 
 
 496 
 
 19 
 
 104 
 
 209 
 
 314 
 
 419 
 
 523 
 
 20 
 
 1 10 
 
 220 
 
 330 
 
 441 
 
 55 • 
 
 21 
 
 U 5 ' 
 
 231 
 
 347 
 
 463 
 
 579 
 
 22 
 
 121 
 
 242 
 
 363 
 
 485 
 
 606 
 
 23 
 
 126 
 
 253 
 
 380 
 
 5°7 
 
 634 
 
 24 
 
 132 
 
 264 
 
 397 
 
 529 
 
 66 1 
 
 25 
 
 137 
 
 275 
 
 413 
 
 551 
 
 689 
 
 26 
 
 143 
 
 286 
 
 430 
 
 573 
 
 717 
 
 27 
 
 148 
 
 297 
 
 446 
 
 595 
 
 744 
 
 28 
 
 •54 
 
 308 
 
 463 
 
 6^7 
 
 771 
 
 29 
 
 •59 
 
 3'9 
 
 479 
 
 639 
 
 799 
 
 4 
 
fq. feet 
 
 3 ° 
 
 31 
 
 32 
 
 33 
 
 34 
 
 36 
 
 37 
 
 33 
 
 39 
 
 40 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 46 
 
 47 
 
 48 
 
 49 
 
 50 
 
 51 
 
 - 52 
 
 53 
 
 54 
 
 55 
 
 56 
 
 57 
 
 58 
 
 HoMPLEAT Assistant, & c . 
 
 id Table of Brick-work continued. 
 
 i brick 
 
 1 brick 
 
 I i brick 
 
 2bricks 
 
 2|brickSi 
 
 165 
 
 330 
 
 496 
 
 661 
 
 826 
 
 IJO 
 
 341 
 
 512 
 
 683 
 
 854 
 
 176 
 
 352 
 
 529 
 
 705 
 
 882 
 
 181 
 
 363 
 
 545 
 
 727 
 
 909 
 
 187 
 
 375 
 
 562 
 
 750 
 
 937 
 
 193 
 
 386 
 
 579 
 
 772 
 
 964 
 
 198 
 
 397 
 
 595 
 
 794 
 
 992 
 
 204 
 
 408 
 
 612 
 
 816 
 
 1019 
 
 209 
 
 419 
 
 628 
 
 838 
 
 1047 
 
 215 
 
 43 ° 
 
 645 
 
 860 
 
 i °75 
 
 220 
 
 448 
 
 661 
 
 882 
 
 1102 
 
 226 
 
 459 
 
 '678 
 
 904 
 
 1130 
 
 231 
 
 470 
 
 694 
 
 926 
 
 ”57 
 
 237 
 
 481 
 
 711 
 
 948 
 
 1185 
 
 242 
 
 492 
 
 727 
 
 970 
 
 1212 
 
 247 
 
 503 
 
 744 
 
 992 
 
 1240 
 
 252 
 
 514 
 
 761 
 
 1014 
 
 1268 
 
 258 
 
 525 
 
 777 
 
 lO'jS 
 
 u 
 
 1295 
 
 263 
 
 536 
 
 794 
 
 1058 
 
 ^323 
 
 269 
 
 547 
 
 810 
 
 1080 
 
 135° 
 
 274 
 
 558 
 
 827 
 
 1102 
 
 1478 
 
 280 
 
 569 
 
 843 
 
 1125 
 
 1505 
 
 285 
 
 580 
 
 860 
 
 1147 
 
 1533 
 
 291 
 
 591 
 
 878 
 
 1169 
 
 1 561 
 
 296 
 
 602 
 
 893 
 
 I I9I 
 
 1588 
 
 302 
 
 613 
 
 909 
 
 1213 
 
 1616 
 
 3°7 
 
 624 
 
 926 
 
 1235 
 
 1643 
 
 3>3 
 
 635 
 
 943 
 
 1257 
 
 1671 
 
 3:8 
 
 646 
 
 959 
 
 1279 
 
 1 698 
 
 A 
 
i6 ^he Gentleman and Tradesman’s 
 
 A fecond Table of Brick-work continued. 
 
 fq. feet 
 
 i brick 
 
 I brick 
 
 I 4 brick 
 
 zbricks 
 
 2 ^ bricks 
 
 59 
 
 324 
 
 657 
 
 976 
 
 1301 
 
 1726 
 
 6 o 
 
 329 
 
 668 
 
 992 
 
 1323 
 
 1754 
 
 6 i 
 
 335 
 
 670 
 
 1009 
 
 1345 
 
 1781 
 
 62 
 
 340 
 
 696 
 
 1025 
 
 1367 
 
 1809 
 
 63 
 
 346 
 
 yol 
 
 1042 
 
 1389 
 
 1836 
 
 64 
 
 351 
 
 712 
 
 ioj 8 
 
 141 1 
 
 1864 
 
 65 
 
 357 
 
 723 
 
 1075 
 
 1433 
 
 1891 
 
 66 
 
 362 
 
 734 
 
 1091 
 
 1455 
 
 1919 
 
 67 
 
 368 
 
 745 
 
 1108 
 
 1477 
 
 '947 
 
 68 
 
 373 
 
 756 
 
 1124 
 
 1500 
 
 '974 
 
 69 
 
 379 
 
 768 
 
 I I4I 
 
 1522 
 
 2002 
 
 70 
 
 384 
 
 779 
 
 1158 
 
 '544 
 
 2029 
 
 7 ^ 
 
 390 
 
 790 
 
 1174 
 
 1566 
 
 2057 
 
 72 
 
 395 
 
 801 
 
 1 191 
 
 1588 
 
 2085 
 
 73 
 
 40 1 
 
 812 
 
 1 207 
 
 1 6x0 
 
 2112 
 
 74 
 
 406 
 
 823 
 
 1224 
 
 1632 
 
 2140 
 
 75 
 
 412 
 
 834 
 
 1240 
 
 1654 
 
 2(68 
 
 76 
 
 417 
 
 845 
 
 1257 
 
 1676 
 
 2196 
 
 77 
 
 423 
 
 856 
 
 1273 
 
 1698 
 
 2224 
 
 78 
 
 428 
 
 867 
 
 1290 
 
 1720 
 
 2252 
 
 79 
 
 434 
 
 878 
 
 J306 
 
 1742 
 
 2280 
 
 80 
 
 439 
 
 889 
 
 J323 
 
 1764 
 
 2307 
 
 81 
 
 445 
 
 900 
 
 1340 
 
 1786 
 
 2335 
 
 82 
 
 45 °’ 
 
 911 
 
 '356 
 
 1808 
 
 2362 
 
 «3 
 
 456 
 
 922 
 
 '373 
 
 1830 
 
 2390 
 
 84 
 
 461 
 
 933 
 
 1380 
 
 1852 
 
 24'7 
 
 85 
 
 467 
 
 944 
 
 izio6 
 
 1 
 
 '875 
 
 2445 
 
 86 
 
 473 
 
 955 
 
 1422 
 
 1897 
 
 ■ 2473 
 
 ^’7 
 
 478 
 
 966 
 
 1439 
 
 ' 9 ' 9 , 
 
 2500 
 
 A 
 
CoMPLEAT Assistant, &c. ly 
 
 A fecond Table of Brick-work continued. 
 
 fq. feet 
 
 i brick 
 
 I brick 
 
 1 brick 
 
 2 bricks 
 
 2 4 bricks 
 
 88 
 
 484 
 
 977 
 
 1455 
 
 1941 
 
 CO 
 
 89 
 
 489 
 
 988 
 
 1472 
 
 1963 
 
 2555 
 
 90 
 
 495 
 
 999 
 
 1488 
 
 1985 
 
 2583 
 
 91 
 
 500 
 
 10 lO 
 
 i 5°5 
 
 2007 
 
 2610 
 
 92 
 
 506 
 
 1021 
 
 1522 
 
 2029 
 
 2638 
 
 93 
 
 511 
 
 1032 
 
 1538 
 
 2051 
 
 2666 
 
 94 
 
 517 
 
 1043 
 
 1555 
 
 2073 
 
 2693 
 
 95 
 
 522 
 
 1054 
 
 157* 
 
 2095 
 
 2721 
 
 96 
 
 528 
 
 1065 
 
 1588 
 
 2117 
 
 2748 
 
 97 
 
 533 
 
 1076 
 
 1614 
 
 2139 
 
 2776 
 
 98 
 
 53 ^ 
 
 1087 
 
 1621 
 
 2]6i 
 
 2803 
 
 99 
 
 543 
 
 1098 
 
 1637 
 
 2183 
 
 2831 
 
 100 
 
 549 
 
 I IOC 
 
 y 
 
 1654 
 
 2205 
 
 2859 
 
 200 
 
 1098 
 
 22 IC 
 
 33°9 
 
 441 i 
 
 5718 
 
 300 
 
 1647 
 
 3329 
 
 4962 
 
 66 j6 
 
 «577 
 
 400 
 
 2196 
 
 343 ^' 
 
 6616 
 
 8822 
 
 11436 
 
 500 
 
 2746 
 
 554 ^ 
 
 8270 
 
 11028 
 
 14295 
 
 600 
 
 3295 
 
 6658 
 
 9924 
 
 13234 
 
 17154 
 
 700 
 
 3844 
 
 7767 
 
 11578 
 
 15440 
 
 20013 
 
 800 
 
 4393 
 
 7877 
 
 13232 
 
 17646 
 
 22872 
 
 900 
 
 4942 
 
 8986 
 
 14887 
 
 19851 
 
 25731 
 
 1000 
 
 5492 
 
 10096^ 
 
 16541 
 
 22057 
 
 28590 
 
 2000 
 
 10984 
 
 20193 
 
 33082 
 
 44114 
 
 57181 
 
 3000 
 
 16476 
 
 3O29O' 
 
 49623 
 
 66171 
 
 85771 
 
 4000 
 
 21968 
 
 40387 
 
 66164 
 
 88228 
 
 114362 
 
 5000 
 
 27461 
 
 50484 
 
 82705 
 
 110285 
 
 142953. 
 
 6000 
 
 32953 
 
 60580 
 
 99247 
 
 132342 
 
 171543 
 
 7000 
 
 3^445 
 
 70677 
 
 115783 
 
 154399 
 
 200134. 
 
 8000 
 
 43937 
 
 80774 
 
 132329 
 
 176456 
 
 228725 
 
 
 
 D 
 
 
 A 
 
i8 The Gentleman and Tradesman’s 
 A fecond Table of Brick-work continued. 
 
 fq. feet 
 
 9000 
 10000 
 1 1000 
 12000 
 13000 
 14000 
 15000 
 16000 
 17000 
 18000 
 19000 
 20000 
 21000 
 22000 
 23000 
 24000 
 
 2C000 
 
 brick I I brick 
 
 49429 
 
 54922 
 
 60414 
 
 6coo6 
 
 71398 
 
 76890 
 
 81383 
 
 86875 
 
 92367 
 
 97859 
 
 103352 
 
 108845 
 
 1 14337 
 
 119829 
 1 24321 
 129813 
 
 90871 
 
 100968 
 
 111065 
 
 121161 
 
 131258 
 
 141355 
 
 151452 
 
 161549 
 
 171646 
 
 181742 
 
 191839 
 
 201936 
 
 212033 
 
 222130 
 
 232227 
 
 242323 
 
 1343062524204 
 
 I i brick 
 
 148870 
 165411 
 181952 
 198494 
 
 215035 
 
 231576 
 248117 
 264658 
 281 199 
 297741 
 314282 
 3308244 
 
 347365 
 
 363906 
 
 380447 
 
 396989 
 
 13530 
 
 2 bricks 
 
 198513 
 
 220570 
 
 242627 
 
 264684 
 
 286741 
 
 308799 
 
 330856 
 
 352913 
 
 374970 
 
 397027 
 
 419084 
 
 41141 
 
 463198 
 
 485255 
 
 CO7312 
 
 529369 
 
 551426 
 
 2 ~ bricks 
 
 257315 
 
 285906 
 
 314496 
 
 353087 
 
 371678 
 
 400268 
 
 428859 
 
 457450 
 
 486040 
 
 514631 
 
 543221 
 
 571812 
 
 600403 
 
 628003 
 
 657584 
 
 686175 
 
 714765 
 
CoMpLEAT Assistant, &c'b 19, 
 
 Explanation of the fecond Table of Brick-work. 
 
 This table readily fhews you haw many bricks 
 are fufficienc to build a piece of brick-work, 
 containing any number of feet or thicknefs, from 
 one foot to 25000 I and from half a brick thick, 
 to two and an half, and confequently (by Addi- 
 tion only) to any thicknefs required, and at the 
 rate of 4500 bricks to a rod, at the ftatute thick- 
 nefs of a brick and an half. 
 
 EXAMPLE. 
 
 How many bricks will build a brick wall 75 
 foot in length, 8 foot in height, and a brick 
 and an half thick? 
 
 f irft, multiply 75 the length, by 8 the height, 
 and the produil is feet, the fuperficial con- 
 tent of the faid wall in feet. 
 
 Secondly, feek in the firft column of the ta- 
 ble for 600 feet, (which you will find in the 
 fourth page of the table) againft which, under 
 I brick and an half at top, is 9924, the number 
 of bricks required, at i | brick thick, 
 
 EXAMPLE 11. 
 
 How many bricks are required to build a piece 
 of brick work 100 feet long, 15 feet high, and 
 two bricks and an half thick ? 
 
 Multiply ICO by 15 
 thus 1 5 
 
 500 
 
 100 
 
 and the fuperficial content is 1500 feet.. 
 
 But whereas this number cannot be found all 
 at once in the table, you muft take it at twice, 
 D 2 thus. 
 
'20 ^he Gentleman and Tradesman’s 
 
 thus, Seek, as before diredled, for the neareft even 
 number in the firft column of the table, which 
 you will find to be looo ; the number oppofite, 
 under 2 \ bricks, you will find to be 28590; 
 then lookback in the column for 500, the num- 
 ber yet wanting, and you will find oppofite, in 
 the fame column, 14295 5 which being added. 
 
 bricks 
 
 28590 
 
 14295 
 
 thus. 
 
 1000 feet, at 2 i bricks thick, is 
 500 feet, at ditto ditto is 
 
 1500 feet, at 2 “ bricks thick, is 42885 as required : 
 
 further examples would be unnecelTary, 
 
 CHAP, IL 
 
 Of Carpenters and Joiners Work. 
 
 Arpenters commonly work by thefquare of 
 
 10 foot, in eredting their carcafes; that is. 
 
 framing and fetting up ; with their partitions, 
 floors, rafters, and fuch like ; and their work is 
 to be valued according to the goodnefs of the 
 timber, the quantity thereof, &c. the particu- 
 lars of which, you have here an account of at 
 large, with the prices thereof ; both with the 
 materials included, or wdiere the workmanlhip 
 only is required. 
 
 And firft, of Framing. 
 
 For framing the outfide carcafe of a 1 C 
 houfe,where the hewing and faw- [ 
 ing are included ; workmanfhip >0 il o 
 perfquare, containing 100 fuper- I 
 ficialfeet • - -J 
 
 For 
 
CoMPiEAT Assistant, &c\ 
 
 C 
 
 For ditto, where hewing and fawing 1 ^ 
 
 is omitted ^ 
 
 For ditto, with old timber, freighted ) 
 oi< both lides j workmanftiip only > 
 Floors per fquare, work only, from i ^ 
 
 Wh“re hewing and fawing are in- 1 
 cluoed, at per fquare ^ — 3 ^ 
 
 Partitions per fquare, work only, } ^ 
 froii. 3s. 6d. to — , ^ S 
 
 Where hewing and fawing are in- J 
 eluded, per fquare, from 7s, 6d. to j 
 R oofs, hewing and fawing included, 
 
 
 ! 
 
 7 
 4 
 
 IQ 
 
 4 
 
 8 
 
 per fquare, according to the fcant 
 ling of the tir^^ber, from 8s. to 
 The lame, exclulive of hewing and 
 
 fawing, from 4s, 6d. to 
 
 Any fcantlings of oak-timber, cut ^ 
 for building, in or about London, / o 
 per loot, cubical meafure — ^ 
 
 Ratters, feet and eves, board-work i 
 and materials, at per foot, running ^ o 
 
 meafure — — 
 
 Framing naked floorings with bind- 
 ing jouts of oak in London, work 
 only, per fquare — ■ ■■ 
 
 The fame of Fir, per fquare — o 
 Diuo with girders and joifts of Oak, ? 
 
 per fqi a e — ^ ^ 
 
 Ditto with Fir, per fquare ~ o 
 
 o 10 
 
 0 5 
 
 21 
 
 6 
 
 6 
 
 6 
 
 6 
 
 6 
 
 6 
 
 o 4 
 
 Single 
 
 
22 7 he Gentleman and Tradesman's 
 
 Single roofs, plates included, of Oak, ^ 
 workmanmip, per fquare in Lon- [ o 
 don 
 
 With Fir ditto, per fquare o 
 
 Ditto with purlines and collar-beam's ? 
 of Oak, workmanfhip, per fquare ^ ^ 
 
 Ditto of Fir, per fquare o 
 
 Timber of Oak, cut to fcantlings, I 
 cube per foot — — ^ ^ 
 
 Ditto,' framed in naked floors, &c. 
 
 work included, per foot cube 
 Ditto, in door-cafes and windows, "j 
 &c. plain’d and fram’d, per foot > o 
 
 cube — — J 
 
 Fir, framed in naked floors, roofing, 
 cieling, quarter’d partitions, &c. I o 
 per foot cube — - — , j 
 
 Lintels of Fir, framed ; bond tim-^ i 
 bers, &c. per foot cube - I ^ 
 Ditto, plain’d and fram’d, in door- 
 cafes and windows, 6cc. per foot I o 
 
 cube — ^ 
 
 Barns and ftables,perfquare,framing, ? 
 
 workmanfhip only, from 3s. 6d. to ^ 
 Where hewing and fawing the rim-l 
 her is included, according to the y 
 roughnefs and fcantling of thef^ 
 timber, from 8s. per fquare, to J 
 Whole Deal, bridg’d guttering, for 7 
 every fu per ficial foot - - 
 
 Centering vaults, per fquare - - o 
 
 Groin centering, per ditto - - 1 
 
 8 
 
 12 
 
 10 
 
 I o 3 6 
 
 4 . o 
 
 I 10 
 
 8 
 
 o. 
 
 II 
 
 2 
 
 8 
 
 o 
 
 o 
 
 Center 
 
CoMPLEAT Assistant, 23 
 
 Ctnturing to apertures, perfbotfquare 00^ 
 Bracketting to ^common plaifterM 7 
 
 cornices, ditto — j ^4 
 
 Ditto to modillions, per foot fquare o o 5 
 
 Cove bracketting of oak, at per foot 7 
 
 fuperficial ^ ^ 7 
 
 Ditto of Fir, per foot ^ ^ S 
 
 Guttering and bearers of Oak, ditto 7 ^ 
 
 fuperficial _ 5 ° ° 9 
 
 Ditto of Fir, per foot — 006 
 
 Extra work in truffing of beams, 7 
 , Oak, per foot running - - j ® ^ 
 
 Ditto Fir, at per foot running - 006 
 
 Rough whole Deal boarded floors, I 
 
 clear of fap, at per fquare - - ^ ^ ^5 o 
 
 Ditto workmanfhip only, per fquare, 7 
 
 not plain’d - - i ^ 3 ^ 
 
 Ditto lifted, and fhot clear of fap, at 1 
 
 per fquare - - - 5^^7o 
 
 Work only, per fquare - “ o 3 6 
 
 Folding joint boarding, clear of fap, 1 
 
 at per fquare - - J ^ 10 o 
 
 , Workmanfliip only, at per fquare 050 
 Common ftrait joint boarding, clear 1 ^ 
 
 of fap, work only, per fquare - i ° ^ ^ 
 
 Second beft boarding, per fquare, i 
 
 dowl’d ^ ^ :|4 o O 
 
 Workmanfliip, per fquare •» d 12 o 
 Clean Deal boarding, dowl’d. per ? 
 
 fquare . - - . -SS S o 
 
 Workmanfliip, per fquare o 12 o 
 
 Ditto 
 
24 ^he Gentleman and Tradesman's 
 
 o 14 
 
 Ditto of long boards, 1 5 feet and up- I ^ 
 wards, per fquare - - - ^ 
 
 Second beft floors taken up, and re- | 
 laid and plain’d over, at per fquare ^ 
 Boarding with rough fplit Deal, per 
 fquare - - - i 
 
 Workmanfliip, per fquare - - o 
 
 Barn floors to lay with two inch Oak 1 
 plank, joifts included, at perfquare 3 ^ 
 Workmanfhip only, at per fquare o 
 Ditto hewing and fawing included, 
 according to the roughnefs of the 
 limber, per fquare, from 1 2S. to 
 Barn floors laid with two-inch double 
 
 Deals, and with Oak joifts includ- ( 2 10 
 ed, per fquare - - - J 
 
 Workmanlhip only, per fquare - o 
 Ditto with three- inch Deals, P^** 1 ^ 
 fquare, wirh joifts - - 5 
 
 Workmanftiip only for ditto, per ^ 
 fquare - - - J 
 
 Linings of walls, plugs, and nails in- 
 eluded, at per yard fquare - | 
 Workmanfhip only, per yard - o 
 Ditto groov’d, tongu’d and plain'd, > 
 at per foot Angle - - j 
 
 Weather boarding, feather edg’d, . 
 
 nails included, at per yard fquare j 
 Workmanfliip only, per yard fquare o 
 Boards plain’d and bended, per fquare o 
 Workmanftiip only, per fquare - o 
 
 1 . d. 
 
 o o 
 
 16 o 
 14 6 
 
 12 o 
 5 6 
 
 5 
 
 18 
 
 o 10 
 
 o 
 
 17 
 
 Deal 
 
 
CoMPLEAT Assistant, 
 
 Deal weather boarding, rough fea« j 
 ther edg’d, nails included, per >o 
 ^ fquare — : — : — — J 
 
 Workmanfliip only - — - o 
 
 Qakrboard weather -boarding, per 7 
 fquare with nails j ^ 
 
 Workmanfliip only, per fquare -r- o 
 Ditto hewing and fawing included, 1 
 according to the roughnefs of the f o 
 timber, from 6s. to • — — ^ 
 
 25 
 
 A Table, (hewing how many boards, at five 
 feveral gauges, ten foot long, will compleat a 
 fquare. 
 
 inch gauge 
 
 fs 
 
 6 
 
 at<; 7 
 
 ■ 8 
 
 19 
 
 boards 
 
 24 
 
 20 
 
 ^7 
 
 13 
 
 inches over 
 o 
 
 0 
 
 1 
 o 
 
 3 
 
 Whole deal boarding, &c. nail’d 1 
 againft ftuds, plain’d on one fide, j-o 
 
 at per yard fquare J 
 
 Workmanfliip only, per yard fquare o 
 Plain’d on both fides, at per yard ? 
 
 fquare ^ ^ 
 
 Woikrnanfhip only, at per yard o 
 Ditto groov’d, tongu’d, ledged, or -j 
 batten’d, at per yard, lingle mea- (o 
 furc — — 3 
 
 E 
 
 Work- 
 
26 The Gentleman and Tradesman's 
 
 Workmanflilp only, per yard - 
 Whole and flit deal partitions, groov’d 
 and plain’d on both fides, per yard. 
 Angle meafure 
 
 Workman (hip only, per yard - 
 With two-inch fluff, plain’d on one 
 flde, per yard fquare for ditto - 
 Workman(hip only, per yard 
 Ditto plain’d on both fldes, at per 
 yard, Angle meafure ^ - - - 
 
 Workmanfhip only, at per yard - 
 Two-inch planks of Oak, lifted, and 
 (hot clear of fap,at per foot fquare 
 Ditto of Fir, per foot — 
 Ditto three-inch Oak plank, at per 
 foot ... 
 
 Ditto of Fir, per foot 
 Ditto four-inch thick of Oak, per 
 foot - - - 
 
 Ditto of Fir, per fjot 
 A(hlering,or cieling floors with fluff, 
 four by three, ar per fquare 
 Steps of common flairs, firings and 
 firing boards, and bearers included, 
 of Oak, at per foot fuperficial, on 
 the rafter and tread - - - 
 
 Ditto of Fir, per foot - - - - 
 
 Beft fort ditto, per foot, running - 
 Second beft boards of ditto, firings, 
 bearers, and plain brackets in- 
 cluded, at per foot - - - - 
 
 I 
 
 
 
 J. 
 
 d. 
 
 Q 
 
 1 
 
 4 
 
 o 
 
 2 
 
 2 
 
 o 
 
 0 
 
 11 
 
 o 
 
 3 
 
 3 
 
 o 
 
 r 
 
 I 
 
 o 
 
 3 
 
 10 
 
 o 
 
 I 
 
 5 
 
 o 
 
 o 
 
 7 
 
 o 
 
 o 
 
 4 
 
 o 
 
 o 
 
 9 
 
 o 
 
 o 
 
 5 
 
 0 
 
 1 
 
 0 
 
 o 
 
 o 
 
 7 
 
 0 
 
 17 
 
 0 
 
 o 
 
 0 
 
 9 
 
 o 
 
 0 
 
 7 
 
 o 
 
 1 
 
 6 
 
 o 
 
 0 
 
 II 
 
 Ditto 
 
CoMPLEAT Assistant, & c \ 
 
 Ditto with clean Deals and carved 
 brackets, at per foot fuperficial 
 Common joifting and boarding to 
 half paces, per foot fuperficial 
 Beft fort of ditto, per foot fuperficial 
 Rails and ballufters, two inches 
 fquare, per foot, run — 
 Ditto turn’d, newel and capp’d, per 
 
 foot run — — 
 
 Ditto turn’d,newel andcapp’d,fquare 
 foot, ditto - — — 
 
 Rails and ballufters, three inches 
 fquare, per foot run •- - - 
 
 Ditto four inches fquare, per foot 
 running — ^ 
 
 
 } 
 
 J o 
 
 
 Note, when circular or ramping, 
 the price muft be three times mea- 
 fu re, which is the lame thing; and 
 this rule muft alfo be obferv’d, for 
 all circular works in general. 
 
 Whole Deal doors, ledg’d, per foot > 
 fuperficial, meafured on one fide i 
 When plough’d, tongu’d, and ledg’d, i 
 per toot fquare — r— — . i 
 
 Gates of whole Deal, lin’d with ^ 
 whole Deal, per foot fuperficial \ 
 Whole Deal dreffers, feet and bear- > 
 ers, per foot fquare - i 
 
 Two-inch Deal dreflers, with turn’d -j 
 columns and bearers, per foot fu- j- 
 perficial ; J 
 
 o 
 
 o 
 
 q 
 
 o 
 
 o 
 
 E 2 
 
 27 
 
 J- 
 
 i 8 
 
 Q lo 
 
 1 o 
 
 2 6 
 
 2 8 
 3 o 
 
 3 ^ 
 
 4 o 
 
 o 6 
 
 0 8. 
 
 o 9 
 
 0 8 
 
 1 2 
 
 Warn- 
 
28 ^he GiENTLEMAN and Tradesman’s 
 
 Wainfcotting fquare Deal, per yard 1 
 
 fuperficial — ^ ^ 
 
 Quarter-round, &c. Deal wainfcot- | 
 ting, flat pannel,at per yard fquare i 
 Pannels rais’d, fquare ditto, per yard o 
 Strait mouldings, Deal, per foot fu - 1 
 
 perficial — ^ ^ 
 
 Pannels rais’d with a bead ditto, per i 
 yard — : — — 3 ^ 
 
 Deal modillion cornices, per foot i 
 
 fquare r— \ ^ 
 
 Ditto workmanflaip, per foot fquare o 
 Plain whole Deal cornices for out- l 
 
 fide work, per foot i ^ 
 
 Dentile cornices, per foot fuperficial, ^ 
 
 with Deal — j 
 
 Workmanfhip only, per foot - - o 
 
 Safhes of Deal, inch and half thick, j 
 at per foot fquare r - - - j 
 
 Ditto with Deal-cas’d frames. Oak- ^ 
 foils, pulley-pieces, and Oak-foils, ^ o 
 per foot fuperficial - - - 
 
 One inch and an half of right wain- 
 fcot fafhes, complete, at per foot f o 
 
 fquare — ^ 
 
 Ditto with Deal-cas’d frames, wain- 1 
 fcot pulley-pieces, and Oak foils, r o 
 per foot fuperficial 
 
 Ditto with tight wainfcot frames, per ? 
 
 foot fquare - - - j ^ 
 
 Two-inch right wainfcot ftflies, all i 
 conaplete, at per foQt fquare *3 
 
 8 
 
 6 
 
 9 
 
 3 II 
 
 I IQ 
 o u 
 o lo 
 
 I 3 
 I 5 
 
 I o 
 Ditto 
 
 MiM 
 
'CoMPLEAT Assistant, Qfr. 
 
 Ditto with Deal-cas’d frames, wain- 1 
 fcot pulley-pieces, and Oak foils, j 
 per foot fuperficial — 
 
 Ditto with right wainfcot frames, | 
 
 ditto, fuperficial 
 Girt and Lutheran windows made of i 
 Oak, the fluff, three by four, per ro 
 foot fuperficial — ^ — J 
 
 Ditto of Fir, per foot ^ o 
 
 Workmanfhip only, from id, | per I 
 foot, to ^ ^ ^ 
 
 P A L L I S A D I N G. 
 
 Pallifading pofls about fix inches 
 fquare, and upper rails about three 
 and an half by four ; the lower rails, 
 fix bv three ; pales, three by one, and 
 the length of the pales, about four 
 feet and an half; the pofls to fland ^ 
 about fix foot above ground, fo as to 
 admit of about i8 inches of under 
 pinning under the lower rail, the . 
 fluff to be all Oak ; Carpenters work 
 and fluff only, per foot lineal 
 The pales of Fir, per foot for ditto 
 Workmanfhip only,per foot running ? 
 
 for ditto - - - 3 
 
 Ditto wirh inch and half fquare pales, j 
 Oak per root - - J 
 
 The pales of Fir, per foot for ditto 
 
 29 
 
 
 Ditto 
 
30 The Gentleman and Tradesman’s 
 
 :r. 
 
 Workmanfhip only, per foot run- 7 , 
 
 ning, from i6d. to - - - i ^ ^ 
 
 Of the proper Scantlings for the cutting of Timber^ 
 according to DireBiom laid down by federal 
 eminent fP'orkmen oj the greatejl Experience, 
 
 Of Principal Posts for Small Builpings, 
 
 Polls of Fir 8 feet in height, and 4 inches 
 fquare 
 
 Ditto 10 feet ditto, and 5 inches ditto 
 
 Ditto 12 feet ditto, and 6 inches ditto 
 
 Pofts of Oak 10 feet in height, and 6 inches 
 fquare 
 
 Ditto 12 feet ditto, and 8 inches fquaro 
 
 Ditto 14 feet ditto, and ip ipches fquare 
 
 For Large Buildings. 
 
 Pofts of Fir 8 feet in height, and ^ inches 
 fquare 
 
 Ditto 12 feet ditto, and 8 inches fquare 
 
 Ditto 16 feet ditto, and 10 inches fquare 
 
 Oak pofts 8 feet in height, and 5 inches 
 fquare 
 
 Ditto 12 feet ditto, and 12 inches fquare 
 
 Ditto 16 feet ditto, and 16 inches fquare 
 
CoMPLEAT Assistant, 
 
 31 
 
 Ti)e Scantling of Girders. 
 
 If the length of a Fir girder be 10 feet, its 
 fcantling muft be 8 inches by 10 
 
 If 12 ditto, its fcantling mull be 8 | inches 
 by 10 
 
 If 14 ditto, its fcantling muft be 9 inches 
 by 10 I 
 
 If 16 ditto, its fcantling muft be 10 inches 
 by II 
 
 If 18 ditto, its fcantling muft be ii inches 
 by 12 
 
 If 20 ditto, its fcantling muft be 11 | inches 
 by 13 
 
 If 22 ditto, its fcantling muft be 12 inches 
 by 14 
 
 If a girder of Fir in a fmall building be 16 feet 
 in length, its fcantling muft be 8 inches 
 by 1 1 
 
 If 20 ditto, its fcantling muft be 8 inches 
 by II 
 
 If 20 ditto, its fcantling muft be 10 inches 
 by 12 I 
 
 If 24 ditto, its fcantling muft be 12 inches 
 by 14 
 
 But if of Oak, then the fcantling muft be 
 10 inches by 13, 12 inches by 14, and 14 
 inches by 15 
 
 In Large Buildings. 
 
 If a fir girder be in length 16 feet, its fcant- 
 ling muft be 9 I inches by 13 
 
 If 
 
32 ^be Gentleman and Tradesman’s 
 
 If 20 ditto, its fcantling muft be 12 inches 
 by 14 
 
 If 24 ditto, its fcantling muft be 13 f inches 
 
 by 15 . 
 
 If a girder of Oak in length be 16 feet, its fcant^ 
 ling mull be 12 inches by 14 
 If 20 ditto, its fcantling mull be 15 inches by 15 
 If 24 ditto, its fcantling mull be 18 inches by 16 
 
 The Scantling of common and trimming JoiJis: 
 
 Trimming joills in length being 5 feet, its fcant- 
 ling muft be 7 inches by 3 
 If 6 ditto, its fcantling mull be 7 ihches by 4 
 If 7 ditto, its fcantling muft be 7 inches by 5 
 If 8 ditto, its fcantling mull be 8 inches by 4 
 If 9 ditto, its fcantling mull be 8 inches by 5 . 
 
 If 10 ditto, its fcantling mull be 9 inches by 6 
 Common joifts, being in length 5 feet, its fcant- 
 ling mull be 7 inches by 2 |- 
 If 6 ditto, its fcantling muft be 7 inches by 2 |- 
 If 7 ditto, its fcantling muft be 7 inches by 2 1 
 If 8 ditto, its fcantling mull be 8 inches by 3 
 If 10 ditto, its fcantling muft be 8 inches by 3 4. 
 If 1 1 ditto, its fcantling muft be 8 inches by 3 L 
 If 12 ditto, its fcantling muft be 9 inches by 4 
 
 The Scantling of Joists for Small 
 Buildings. 
 
 Fir joifts, 6 feet long, muft be 5 inches by 2 J 
 Ditto, 9 ditto, muft be 6 | inches by 2 | 
 
 Ditto, 12 ditto, muft be 8 inches by 2 j 
 
 Oak 
 
CoMPLEAT Assistant, 33 
 
 Ditto Oak, 6 feet long, muft be 5 inches by 3 
 Ditto, 9 ditto, muft be 7 | inches by 3 
 Ditto, 12 ditto, muft be 10 inches by 3. 
 
 For Large Buildings. 
 
 Fir joifts, 6 feet long, muft be 5 Inches by 3 
 Ditto, 9 ditto, muft be 7 ^ inches by 3 
 Ditto, 12 ditto, muft be 10 inches by 3 
 Oak ditto, 6 ditto, muft be 6 inches by 3 
 Ditto, 9 ditto, muft be 9 inches by 3 
 Ditto, 12 ditto, muft be 12 inches by 3, 
 
 Of bridging Joists in Small Buildings, 
 
 Bridging joifts of Fir, whofe bearing is 6 feet, 
 muft have a fcantling of 4 feet by 2 \ 
 
 Ditto of Oak, ditto, 4 feet by 3 
 Fir, 8 foot, muft have ditto, 5 feet ^ by 2 ^ 
 Ditto of Oak, ditto, 5 feet i by 3 
 Fir, 10 foot, muft have ditto, 6 feet by 3 
 Ditto of Oak, ditto, 7 feet by 3. 
 
 Of bridging Joists in Large Buildings, 
 
 Fir-bridging joifts, whofe bearings are 6 feet, 
 muft have a fcantling of 4 inches by 3 
 Ditto of Oak, ditto, 5 inches by 3 | 
 
 Fir, 8 foot, muft have ditto, 5 inches by 3 
 Ditto of Oak, ditto, 6 4 inches by 3 « 
 
 . Fir, 10 foot, muft have ditto, 7 inches by 3 
 Dittp of Oak, ditto, 8 inches by 3 | 
 
 F 
 
 Scant- 
 
34 Gentleman and Tradesman’s 
 
 Scantlings for Beams. 
 
 If the bearing of the beam in the clear, be 12 
 feet, its fcantling muft be 6 i inches by 8 
 
 If 16 ditto. 
 If 20 ditto. 
 If 24 ditto. 
 If 28 ditto. 
 If 32 ditto. 
 If 36 ditto, 
 If 40 ditto. 
 
 ditto 
 
 ditto 
 
 ditto 
 
 ditto 
 
 ditto 
 
 ditto 
 
 ditto 
 
 6 j inches by 8 | 
 
 6 inches by 9 
 
 7 inches by 9 
 
 7 j inches by 9 | 
 
 8 inches by 10 
 
 8 j inches by 10 i 
 ■8 i by II 
 
 *Ihe proper Scantlings for Beams and Raf- 
 ters, are as follow^ viz. 
 
 Firfl,for Beams or Ties for Small Buildings, 
 
 If the length of a beam of Fir be 30 feet, its 
 fcantling muft be 6 inches by 7 
 Ditto of Oak, ditto, 7 inches by 8 
 Fir, 45 feet, its fcantling muft be 9 inches by 8 i 
 Ditto of Oak, ditto, 10 inches by.ii i 
 Fir, 60 feet, its fcantling muft be 1 2 inches by 1 1 
 Ditto of Oak, ditto, 13 inches by 13 
 
 For Large Buildings. 
 
 If the length of a beam of Fir be 30 feet. Its, 
 fcantling muft be 7 inches by 8 
 
 Ditto of Oak, ditto, 8 inches by 8 
 If 45 feet, its fcantling muft be 10 inches by r i * 
 Ditto of Oak, ditto, 1 1 inches by 1 1 | 
 
 If 60 feet, its fcantling muft be 13 inches by 15 
 Ditto of Oak, ditto, 14 inches by 13. 
 
 For 
 
CoMPLEAT Assistant, &c, 
 
 For PKmcivAL Rafters Small BuiLmNOs,' 
 
 If a rafcei: of Fir be in length 24 feet, Its fcant- 
 ling at top muft be 5 inches by 6, and at 
 bottom, 6 inches by 7 
 
 If 36 feet at top, 6 | inches by 8, ditto at bottom, 
 8 inches by 10 
 
 If 48 feet at top, 8 inches by 10, at bottom, lo 
 inches by 12 
 
 But if at top, of Oak ditto, 
 
 7 inches by 8, and at bottom, 8 inches.by 9, 
 
 8 inches by 9, ditto 9 ditto by 10 f 
 
 9 inches by 10, ditto 10 ditto by 12. 
 
 For Large Buildings, 
 
 If the rafter be of Fir, j 
 fcantling at top muft 
 and at bottom. 
 
 If 3 6 feet at top, 
 
 at bottom,. 
 
 If 48 feet at top, 
 
 at bottom. 
 
 But if of Oak at top, 
 
 at bottorn, 
 top, 
 
 at bottom, 
 
 ♦ at top, 
 
 at bottom. 
 
 1 its length 24 feet, 1% 
 
 7 inches by 8 
 
 8 inches by 9^ 
 
 8 inches by 9. 
 
 9 inches by lo ^ 
 
 9 inches by 10. 
 
 10^ inches by 1 2^ 
 
 8 inches by 9 
 
 9 inches by ja 
 9 inches by 10 
 
 10 inches by 12^ 
 10 inches by 12 
 I2> inches by 14. 
 
 For Small Rafters m Smali, Buildings.; 
 
 If the rafter be of Fir, and its bearing be 8 
 - its fcantling muft be 3 4 inches by 2 « 
 
 Fa If 
 
36 T^he Gentleman and Tradesman’s 
 
 If 10 feet, ditto, 4 ^ inches by 2 ^ 
 
 If 12 feet, ditto, 5 i inches by 2 f 
 
 But if of Oak, 4 i inches by 3 
 
 5 \ inches by 3 
 
 6 i inches by 3 
 
 For Large Buddings, 
 
 If the rafter be of Fir, and its bearing be 8 feet, 
 its fcantling muft be 4 I inches by 3 
 
 If 10 feet, ditto, 5 i inches by 3 
 
 If 12 feet, ditto, 6 i inches by 3 
 
 But if of Oak, 5 \ inches by 3 
 
 7 inches by 3 
 
 9 inches by 3 
 
 PURLOINS. 
 
 Scantlings for Purloins muft be cut from 9 inches 
 by 8, to 9 inches by 12, in large buildings, 
 where they are framed into the principal raf- 
 ters 1 but for common fmall buildings, where 
 they arc laid into the collarrbearus, from 4 
 inches by 5, to 5 inches by 6,. 
 
 Scantlings for Cells and Over- Ways, are 
 cut from 8 inches by 9, to 9 inches by 6. 
 
 Raising-Plates are cut to fcantlings, from ^ 
 inches by 5, to 9 inches by 
 
 ^cte. In refpedl to laying down the price or va- 
 lue of a fquare of framing, I fhall not here 
 prefume, being ^ ta(k too difficult tp, perform, 
 
 Vpleft 
 
CoMPj,EAT Assist AN Ti 
 
 unlefs buildings were all of one lisie, and of 
 the fame length, breadth, and height ; then, 
 indeed, it would be very eafy to lay down a 
 rule that would hold good in general : But 
 whereas, the various forms and magnitudes of 
 buildings, require different fcantlings of tim-s 
 her, confequently the value thereof muff be 
 - more or lefs accordingly. The beft method 
 . that I can here recommend for this purpofe, 
 is, firft of all, to draw a plan of the whole 
 defign, from which to draw every particular 
 ■ part, in refpeft to the form and fafliioa 
 thereof, from which you may make an efti- 
 tnate of what timber will be required, accord- 
 ing to the dimenfions of each particular part} 
 from which you may then calculate the value 
 thereof, according to the feveral contents, in 
 fquare feet, yards, ^c. 
 
 The following prices of the feveral kinds of 
 Carpenters and Joiners work, viz. (labour only) 
 are warranted original, having never befoVe 
 appear’d in public, confequently not to be 
 met with elfewhere, in any publication what- 
 fover ; in refpedl to which, numbers of work- 
 men have hitherto been entitely unacquainted 
 with, therefore vviff now (being made public) 
 undoubtedly prove beneficial to them (n ge» 
 toeral. 
 
 Of F L O Q R I N G\ 
 
 jC* u 
 
 Folding flooring, at per fquare -050 
 
 Stfait joint ditio, at per fqware - p 8 6 
 
 Powell’d 
 
38. Gentleman and Tradesman’s 
 
 £,• * A 
 
 Dowell’d floorinff, with boards, per j 
 
 fquare — _ }° H ‘O 
 
 Do weird ditto, with battins p 16 a 
 
 Cas’d frames, with Oak cills,and inch 
 
 and half Deal faflies, hung, per >0 05 
 
 foot fuperficial — — J 
 
 Inch and half wainfeot fa(hes, ditto o 
 , Ditto for double hanging, at per foot I 
 
 fuperficial -r — f ^ ^ 
 
 If cas’d frames,with wainfeot pulley- ^ 
 pieces, and inch and half wainfeot f 
 fafties, firjgle> at per foot fuperfi- 
 
 Cial -rr— T* > 
 
 If inch and half faflies of wainfeot, 
 
 hung, at per foot fuperficial - 
 Deal ditto, fixt, at per foot fuper- j 
 
 ficial r?- y 
 
 Common lleps,^ and rifers to flairs, 
 and carriages to ditto, at per foot V 
 
 fuperficial -r r r-r — ^ 
 
 Ditto glued, with moulded nofings, r 
 
 •o 
 
 ditto run 
 
 Run of circular rifer to, curtail ftep, 7 
 ditto -r-r — • — 5 
 
 Run of fquare hand-rail and balifter. 
 
 at per 
 
 foot 
 
 
 5t 
 
 6 
 
 2 — 
 -“2 
 
 
 o. o 
 
 4 
 I 10 
 
 a 7- 
 
 Run of common-moulded hand-rail 
 ballifter and flring, at per foot 
 Run of flrait-moulded balifter,archi- 1 
 trave and flring ’board, at per foot j ^ 
 
 Run with rampt and need rail, per \ 
 foot ^ 
 
 Run 
 
 Jo. o. II 
 
 
, CoMPLEAT Assistant, 2s 
 
 Run with rampt and twift-rall, at ? 
 
 per foot 3 6 
 
 Cut brackets, with nofings, at per foot 007 
 
 'Note^ It is ufual, fometimes, to 
 take thefe fort of flairs by 
 the great. 
 
 Common dog-leg flairs, at per flory "100 
 
 If brackets at ditto 150 
 
 With ramp and need rails, with a ^ 
 twifland cut bracket, clean fleps 1 
 and rifers, turn’d baniflers and car- ^ ® 
 
 riages fixt, at per flory — j 
 Kitchen and garret to ditto, per flory r o o 
 Square wainfcot, at per yard, fuper- 7 
 
 ficial — fo o 10 
 
 Square dwarf ditto, at per yard ditto o i o 
 T\vo-inch fquare wainfcot parti- y 
 
 tions, ditto — j ^ ^ 9 
 
 Inch and half ditto, ditto, per yard 016 
 Square fhutters, with two pannels, 7 
 
 at per foot fuperficial 1 ^ ^ 3 i 
 
 Inch clamp ditto, at per foot fuper- -> 
 
 ficial — ■ >0 o 2 1 
 
 Square fafFets backs and elbow, ditto 003 
 T wo pannel fquare doors, at per foot 002 
 Four-pannel ditto, at per foot o o 2-^ 
 
 Ovalo flat pannel ditto, at per yard o j 
 Dado dove-tail’d on cne baek, pr - / 
 
 yaid — ^ ^ 
 
 Inch 
 
40 'The Gentleman and Tradesman's 
 
 £ 
 
 Inch and half ovelo fix-pannel doors, 1 
 fquare back, flat pannel’d, at per > o 
 foot fupcrficial - - J 
 
 Two- inch ditto, ditto, at per foot o 
 Ditto flock on the back, per foot o 
 Raking dado, aC per yard fuperficial o 
 Bead and flufli fix-pannel’d two inch ? ^ 
 doors, at per foot fuperficial - ' 
 
 Bead and butt, at per foot fuperficial o 
 Mouldings for bafe and impoft, and 
 
 
 double architraves, at per foot fu 
 perficial - - ^ 
 
 Chimney mouldings, at per foot fu- J 
 perficial - “ ” * 
 
 Levil feirting, at per foot fuperficial 
 Raking ditto, at per foot fuperficial 
 Levil torus farting, at per foot fuper. 
 Raking ditto, at per foot fuperficial 
 Drefler boards, at per foot fuperficial 
 Whole deal funk flielves, ditto - 
 Back linings to windows, at per ditto 
 
 Framed grotinds,and rabbeted joints, ) ^ 
 
 at per foot fuperficial - - > 
 
 Ovalo ihree-pannel’d fliutters, at per 7 ^ 
 foot fuperficial - - ' - J 
 
 Run of O G’s, at per foot 
 
 Of bracketting to plafler cornice, 
 ditto - “ • " 
 
 Run of Angle architrave, at per foot 
 Single cornice and facio, at per foot, 
 run 
 
 lice, j 
 
 It 
 
 -1 
 
 
 J. 
 
 0 
 
 4 
 
 0 
 
 4t 
 
 0 
 
 5 » 
 
 I 
 
 9 
 
 0 
 
 6 
 
 0 
 
 4 
 
 0 
 
 T 
 
 4 " 
 
 0 
 
 
 0 
 
 If 
 
 0 
 
 If 
 
 0 
 
 2 
 
 0 
 
 2i 
 
 0 
 
 2i 
 
 0 
 
 2i 
 
 0 
 
 If 
 
 0 
 
 2i- 
 
 0 
 
 Si 
 
 0 
 
 
 0 
 
 it 
 
 0 
 
 2 
 
 0 
 
 2 
 
 Common 
 
Gompleat Assistant, Qfc. 41 
 
 d. 
 
 Common threc-barr fret, at per 7 
 
 r ^ {“O o Q 
 
 foot, run - - - - ) ^ 
 
 Five-barr ditto, at per foot, run o o 44 
 
 CHAP. 111. 
 
 Of Plaisterers Work. 
 
 pLAISTERERS commonly work by the yard 
 fquare ; and their work is principally of two 
 kinds, namely, ift. Works lathed or plaflered, 
 which they call Cieline v 2d. Works rendered, 
 which are of two kinds, viz. upon brick walls, 
 or between quarters, in the partitions between 
 rooms ; all which are meafured by the yard 
 fquare, or fquare of 3 feet, which is 9 feet. 
 
 The prices of which, according to the nature 
 and quality of the work, you have here follow^ 
 ing at large, viz. 
 
 nd 7 
 
 .ۥ 
 
 Grey plafter floors, two inches 
 an half thick, per fquare 
 Workmanfhip only, per fquare - - I 
 Red plafter floors, per fquare ditto - 3 
 Workmanfhip only, per fquare ditto i 
 Stoco on Fir laths, per vard 7 
 Iquare \ 
 
 Ditto workmanftiip only, per yard o 
 Stoco on Oak laths, per yard - - o 
 
 Ditto workmanfliip only, per yard o 
 Stoco on brick walls, per yard - - Q 
 
 G 
 
 10 
 
 I 
 
 10 
 
 8 
 
 Ditto 
 
42 ‘the Gentleman and Tradesman's 
 
 £■ 
 
 ^ ^ — j y r « 
 
 Floated cielings, per yard fquare 
 Workmanfhip only, per yard 
 Common cielings, not floated, 
 yard — — 
 
 Workman fliip only, per yard ditto 
 Floated rendering, per yard 
 WorkmaniTaip only, per yard ditto 
 Common rendering, per yard - 
 Workmanfhip only, per yard ditto 
 Rendering on groins, per yard — - 
 Workmanfhip only, per yard ditto 
 Lime-white, and whitening of old 
 work, per yard r-- — 
 
 Workmanflaip only, per yard - - - 
 Whitening new work, per yard - - 
 Workmanfhip only, per yard - - - 
 InrichM mouldings to pannels in 
 cielings, ^c. per foot running 
 Plain mouldings to cornifhes, &c. ] 
 per foot - - - - ! 
 
 Corinthian cornifhes, fully inrich’d, j 
 per foot - - r - j 
 
 Ionic ditto, per foot - - - . 
 
 Plain ditto, per foot - > - - 
 
 Inrich*d friezes, with Oak leaves, i 
 acorns, &c. per foot - “ - 1 
 
 Large frames on flair-cafes, &:c. fuliv 
 inrich'd, per foot - 
 Large feftoons of fruit and flowers, 7 
 &c. per foot - - - - - f 
 
 ■I 
 
 1 0 
 
 0 
 
 10 
 
 ' 0 
 
 I 
 
 0 
 
 • 0 
 
 0 
 
 s 
 
 > 
 
 p 
 
 
 0 
 
 0 
 
 3 | 
 
 0 
 
 0 
 
 6 
 
 1 0 
 
 0 
 
 2 i 
 
 0 
 
 0 
 
 4 * 
 
 q 
 
 0 
 
 X i 
 
 q 
 
 0 
 
 6 
 
 0 
 
 0 
 
 
 F 
 
 0 
 
 2 i, 
 
 Z 
 
 0 
 
 0 
 
 
 0 
 
 Q 
 
 I 
 
 0 
 
 0 
 
 0 L 
 
 ' 4 -. 
 
 
 I 
 
 iq 
 
 
 0 
 
 9 
 
 
 2 
 
 0 
 
 Q 
 
 I 
 
 7 
 
 P 
 
 I 
 
 2 
 
 [0 
 
 I 
 
 iq 
 
 • 0 
 
 3 
 
 0 
 
43 
 
 CoMPLEAT Assistant, 
 
 Note^ In the laft eight articles, 
 viz. the ornaments, you may, 
 in refpedl to the materials, 
 allow t\yo- pence per footj ic 
 being all of fine fluff. 
 
 CHAR IV. 
 
 Of Carvers Work. 
 
 T N refpedl to the prices in general, relating to. 
 
 Carvers Work, ic is almoll impofiible here 
 to be particular, by reafon of the great uncer- 
 tainty thereof, being for the moll part propor- 
 tioned according to the richnefs of the work, 
 the nature and quality of materials they work 
 upon, &c. therefore, fhall only think neceffary 
 tb give the following eftiinate thereof, which, 
 in commonj are fuch, as wall be found the leaft 
 fubjed to variation, viz* 
 
 Ovolo to Deal framins;, carv’d, v/ith ) 
 
 r ^ [O O lO 
 
 eggs, per foot running - - - ) 
 
 O G to Deal framing, carv’d, with 
 feven-leav’d grafs, per foot running 
 Ovolo to framing in right wainfcor, -j 
 carv’d^ with eggs, per foot run- >o 
 
 ning — J 
 
 Small O G to the raifing of pannels-j 
 in Deal, carv’d, v:iih three-leav’d Jo 
 grafs, per foot - — ^ 
 
 G 2 
 
 Carving 
 
44 Gentleman and Tradesman's 
 
 £. s, 
 
 Carving the Ionic capitals, per footi^ 6 lo 
 
 facio S ’ 
 
 Ditto the Corinthian and Compofite*> 
 
 capitals, at per foot facio, work io 9 8 
 
 about J 
 
 '50; c§05 50.' 5 O 3 52? 50) 5^ cSO <SOi 52 
 
 CHAP. V. 
 
 Vf Painters Work* 
 
 TiST taking the dimenlions of Painters Work, k 
 ^ is the fame as that of Joiners, by girting over 
 the mouldings and fweiling pannels, in taking 
 the height (and it is but reafon they fhould be 
 paid for that on which their time and colour are 
 both expended): The dimenfions thus taken, 
 the cafting up, and reducing feet into yards, is 
 altogether the fame as in Joiners work. Tables 
 ready calculated for fliewing, by infpedlion, the 
 meafurement of all fuch work you have in the 
 fecond part hereof, to any dimenfion whatfoever, 
 either in feet and inches, or fquare yards, 6ec. 
 as may be required. The'l^ainter ufually reckons 
 his work, once, twice, or thrice colour’d over j 
 and in refpedt to the window-lights, window- 
 bars, cafements, and fuch like things, they do by 
 the piece. 
 
 The following is an eflimate of their feveral 
 prices^ according to the manner of the work : 
 
 In fide 
 
CoMPLEA'* Assistant, C^c. 
 
 45 
 
 s, d. 
 
 Infide and outfide painting, three or-j 
 four times in oil, per yard, from >o 
 
 6d. to j 
 
 Painting fecond colour, and finilhing, i 
 
 per yard J 
 
 Clear coaled and finiflied, per yard o 
 Sa{h frames, three times in oil each o 
 Safli fquares, at per each 
 Window-lights, three times in 
 
 each — 
 
 Cafements each 
 
 - o 
 oil 7 
 
 Painting with olive-colour, at peri 
 yard 
 
 With Pruflian blue, at per yard 
 With greens, at per yard - 
 Modillion cornidies, from 6d. peri 
 foot running, to 
 
 
 Common outfide corniflies, if lingle, 7 
 per foot running — — \ 
 
 T^he prices cf colour as fold at the 
 Colour-Jhops in London; and how 
 many fquare yards each colour 
 will paint. 
 
 Fird primer, ground in oil, at per i 
 
 I I2lb. weight — y 
 
 Ditto, at per pound o 
 
 One pound of which, will paint 
 with oil, near 20 yards fquare 
 
 Second primer, ground in oil, at per j 
 1 12 lb. weight - - - - - 5 ^ 
 
 o 8 
 
 o S 
 
 0 4 
 
 1 o 
 o I 
 
 o 3 
 o 3 
 o 8 
 
 0 10 
 
 1 o 
 
 I o 
 o 2 
 
 16 6 
 o 4 
 
 i6 6 
 
 Ditto 
 
46 The Gentleman and Tradesman’s 
 
 , £,• s. d. 
 
 Ditto, at per pound --*-004 
 
 One pound of which will paiht 
 near 12 yards fquare 
 
 Beft white lead ground in oil, at per 7 , , 
 
 nalb. weight. . - J / .T 6 
 
 Ditto, at per lb. --^••004 
 
 One pound of which, with oil, 
 will paint 7 or 8 fquare yards 
 
 Pearl colour 
 Lead 
 Crcanv 
 Stone 
 
 Wainfcot or Oak, ditto 
 
 J 
 
 at 4 d. and 5 d. f 
 per Ib. ground i 
 in oil I 
 
 Chocolate 
 
 Mahogany /Colours ground in oil 
 
 Cedar 
 Walnut-tree 
 
 
 at 6d. per lb. 
 
 i 
 
 One pound of which^ 
 with oil, will paint 
 near 8 fquare yards 
 
 One pound of which, 
 with oil, will paint 
 near i o fquare yards 
 
 Gold, olive, pea, fine fky blue (mix'd with Pruf- 
 fian blue), orange, lemon, ftraw, pink and 
 bloflbm colours, ground in oil, from 8 d. to 
 j2d. per pound; one pound of which, with 
 oil, will paint near 8 fquare yards. 
 
 Fine deep green, ground in oil, at 2s. 8d. per lb* 
 which, with oil, will paint 20 fquare yards 
 Linfeed oil, from lod. to I2d. per quart 
 Turpentine oil, at I2d. per quart 
 Beft drying oil, at 12 d. per quart 
 Putty, at 3d.> and 4d. per pound 
 Double Size, ufed by Painters for painting new 
 work, at 48. 6d. and 5s. per firkin, or 2d. 
 
 per quart 
 
 Single Size, at i8d. per firkin, or id. per quart. 
 
 CHAP. 
 
CoMPLEAT Assistant, &c. 
 
 47 
 
 
 CHAP. VI. 
 
 Of Paviours Work. 
 
 Landers brick paving, new, per^ 
 yard fquare - - - - - -> 
 
 Workman(hip only, per yard - - o 
 
 New Purbeck fquare paving, at per 
 
 foot . -5 — 
 
 Workmanflaip only, gravel included, 
 
 per 
 
 foot 
 
 }» 
 
 Paving with rag, per yard - - o 
 
 Old work, per yard ditto - - - o 
 
 New pebble paving, 14 inches deep, 1 
 per yard - ------3 
 
 New rag paving, or bowlers, per yard o 
 Red brick paving, per yard - - o 
 
 Workmanfliip for ditto only, peryard o 
 Paving with clinkers, per yard - - - o 
 White marble, vein’d with red, &c. 7 
 in fquares, per foot - - - - i 
 
 Portland ftone paving, fit for halls, 7 
 per foot - - - - - 
 
 Paving with nine-inch pamments, ^ 
 peryard - - 
 
 ^orkmanlhip only per yard for ditto o 
 
 3 9 
 o 6 
 
 o lo 
 
 2 o 
 
 0 10 
 
 3 10 
 
 2 10 
 
 1 6 
 o 
 
 2 
 
 5 
 7 
 
 6 
 
 7 
 
 8 
 6 
 
 Rates 
 
48 Thi Gentleman and Tradesman's 
 
 Rates of materials, according to the prices in 
 the preceding page. 
 
 Pebbles, at 20 s. per ton 
 
 Gravel, at 3 s. 6 d. per load 
 
 Rags, at J2 s. per ton 
 
 Flanders bricks, at 20 s. per thoufand ; 
 
 fo that, according as thofe vary in their rates, an 
 allowance in the prices muft be confidered. 
 
 CHAP. VII. 
 
 Of Mason’s Work. 
 
 M asons meafure their work fometimes by 
 the foot folid, fometitnes by the foot fu- 
 perficial ; and in fome places, they meafure 
 their walling by the rood, of 21 feet long and 3 
 feet wide, which is 63 fquare feet ; prices of 
 which, according to their workmanlbip and 
 quality of the materials, are as follows, viz. 
 
 Italian marble, black and white 
 
 2 o 
 
 vein’d, per foot cube - ^ - 
 
 Plain work on ditto, per foot fuper- 
 
 3 3 
 5 6 
 
 ficial 
 
 Moulded work on ditto, per foot 
 fuperficial ------- 
 
 Slabs of ditto in chimney-pieces, a 
 per foot fquare - - - - 
 
 5 3 
 
 Purple 
 
CoMPLEAT Assistant, &c. 
 
 £■ 
 
 V 
 
 o 
 
 Putple marble in flabs, at per foot 
 fquare 
 
 per 
 
 Dove riiarble, at per foot fUperficial 
 Portland (lone, meafur’d when 
 wrought, per foot cubical nicafure 
 Portland ftone, ftreighr, plain- work, 
 per Foot fuperficial ' - ' - - - 
 
 Circular ditto, plain, per foot fuper- 
 ficial — ■ • — - : — - 
 
 Streight-moulded work ditto, per 
 foot fuperficial ^ — 
 
 Circular-moulded work ditto, 
 
 foot fuperficial 
 
 Bath ftonC', meafur'd when wrought 
 in London, at per foot cube - — 
 Straight plain-vv^ork ditto, per foot 
 
 fuperficial 
 
 Circular plain- work ditto, p6r foot 
 fuperficial — ^ 
 Streight-moulded work ditto, per 
 
 foot fquare ; — ^ — 
 
 Circular-moulded work ditto, per 
 foot ditto ' — — i — 
 
 Portland ftone chimney-pieces, inch 
 and half thick, per foot fuperficial 
 If 2 inches thick, per foot 
 Rygate fire-ftone, hearth and covings, 
 per foot fuperficial - - - ^ 
 
 Portland paving inch and half thick, 
 per foot fuperficial - - - - 
 
 Ditto with black marble dots, per 
 foot fuperficial 
 
 jo 
 
 49 
 
 s, d. 
 
 8 2 
 
 6 4 
 
 2 .6 
 
 I o 
 
 I 4 
 
 I 2 
 
 I 5 
 
 ^ 9 
 
 o 6 
 
 o 8 
 
 o 7 
 
 0 9 
 
 1 6 
 
 I 9 
 
 1 4 
 
 I 6 
 
 •I lO 
 
 Pavjnj 
 
 . H 
 
50 "The GsiNT-iyEMAN and Tkape.smAn’s 
 
 Paving with Purbeck, 
 courfes, pe^r foot 
 
 in 
 
 random 7 
 
 Strcight courfes, per foot ditto o 
 
 Paving with old Purbeck, fquar’d 7 v 
 and laid, per foot - - - - -a 
 
 Slack and white marble fquarcs, per 1 
 foot fuperficial - - - - - - 1 
 
 White and vein’d marbje flab in 
 chimney-p]ej:€.s, per foot fupe^r- 
 
 ficial 
 
 
 Ditto ftatuary rnarble flab, per foot q 
 Black and yellow marble flab in ditto, 7 
 per foot Iquare “ . --- — 3 ^ 
 
 Common purple in ditto, per foot r 
 
 fuperficial * K 
 
 Aftragal fteps of Portland, per foot, 1 
 
 running meafurc ~ 3 
 
 Ditto plain, at per foot, running - - o 
 Purbeck fleps, at per foot running - o 
 Portland copeing, about i foot wide; -j 
 3 inches one fide, and the other [o 
 in thicknefs, per foot running — J 
 But when larger, to be cubed firft, 
 and then meafurcd, fuperficial 
 plain work 1 fo alfo Portland curbs 
 for iron-work, &c. mull be cubed 
 firft, and then meafured, fuper- 
 ficial plain work 
 
 Alfo the holes cut in the fame for j 
 iron, at per hole - - - - 
 
 Bafes of columns, architraves, frizes, -j 
 cornifhes, &c. of marble, are, for [o 
 workmanfliip, per foot fuperficial J 
 
 /. A 
 o 8 
 o 10 
 
 7 o 
 
 8 o 
 
 6 6 
 
 8 
 
 0 
 
 4 
 
 6 6 
 
CoMPLBAT AsSISIf A'n¥, '&e. 
 
 The lhafts of columns and plafters,:> 
 fluting bn Portland ftone, (work vo 
 only) per foot facio work - - i 
 
 Corinthian capital carvings, or for 
 ConVpofit'e orders, at per foot facio 
 work,, (exclufiye of the ftone)! 
 frona 6 s. to -* - 
 
 
 5“^ 
 
 V. 
 
 a 6. 
 
 8 
 
 CHAP. 
 
 0£ Plumbers Wore. 
 
 . £•' »• 
 
 L ead in Iheets,, for flat gtitters,-! ■ 
 
 &c. carriage included, per Cwt.io i8 o 
 
 Ditto with work,, riaik and wajlx i ✓ 
 
 hooks included - „ c r 
 
 Sheet lead’ in fiats, gut^erSi-&c, folder 7 
 
 and labour included^; per cwt. i?' ^ " 
 
 Whereas Plunlbers ufually caft their ^hee^ 
 lead of various thickneffes, for guttering, co-. 
 vering of roofs, &c, V;iz. froni y to 12. pound 
 the foot fquare; fhall .therefore infert the fol- 
 lowing table, which will readily fhew the va- 
 lue of a foot fquare of fheet lead, when cad 
 , to any of the abovementioned thicknefies, by 
 which it will be eafy^ to calculate the expence- 
 of covering any place with flieet lead, of any 
 thicknefs, by only meafuring the fuperficies of 
 
 H z the: 
 
^he Gentl^:man and Tradesman’s 
 
 the place intended to be covered with fuch a 
 lead, at 71b. to a foot, at i8d. per cwt. 
 worth 
 
 
 
 
 it 
 
 
 
 
 £• 
 
 /. 
 
 J. 
 
 
 
 0 
 
 1 
 
 , T 
 
 per fp,ot at 20 j. 
 
 per cwt. p 
 
 I 
 
 3 
 
 At 81 b. 
 
 ditt;o 
 
 0 
 
 I 
 
 3^ 
 
 ditto 
 
 at ditto 
 
 ditto 0 
 
 I 
 
 0 
 
 9 lb. 
 
 ditto 
 
 0 
 
 1 
 
 r < 
 
 ditto 
 
 at ditto 
 
 ditto 0 
 
 1 
 
 
 id lb. 
 
 ditto 
 
 0 
 
 I 
 
 
 ditto 
 
 at ditto 
 
 ditto 0 
 
 I 
 
 9 i 
 
 1 1 lb. 
 
 ditito 
 
 0 
 
 1 
 
 9 
 
 ditto 
 
 at ditto 
 
 ditto 0 
 
 1 
 
 Hi 
 
 12 lb. 
 
 ditto 
 
 0 
 
 t 
 
 1 1 
 
 ditto 
 
 at ditto 
 
 ^ittp 6 
 
 2 
 
 ■•1 
 
 Old lead, caft and laid, per hundred o 
 For carting of old lead, and th^l 
 Plumber to return the fame weight, >0 
 per hundred - - - 3 . 
 
 To exchange old lead for flieets, per 1 
 hundred, from 3 s. to •: - 
 
 Leaden cirtef ns, caft with ornaments, 
 folder and all included, at per cwt. i i 
 from 1 1. 1 s. to - - - - J 
 
 All w^ater-pipes, from 3-4ths pf ani 
 inch to 7 inches bore, labour and > i 
 folder included, per hundred —3 
 Rain water pipes arid lead pumps, at 
 ditto — — 
 
 s. 
 
 id pumps, at | 
 
 4 6 , 
 
 A Table of the weight of leaden pipes, accord- 
 ing to their fize. 
 
 inches bore. 
 
 weighs 
 
 1 0 lb. 
 
 . per yard, 
 
 ditto 
 
 ditto 
 
 12 
 
 ditto 
 
 ditto 
 
 ditto 
 
 16 
 
 ditw 
 
 ditto 
 
 ditto 
 
 18 
 
 ditto 
 
 ditto 
 
 ditto 
 
 2 1 
 
 ditto 
 
 ditto 
 
 ditto 
 
 
 ditto 
 
 A Tabic 
 
CoMPLEAT Assistant, & c . 53 
 
 A Table of the weight and prices of leaden pipes, 
 of different fizes ; where lead, cafting, and al| 
 is reckon’d, at 22 s. per hundred. 
 
 To a pipe of 3 inches bore, there is allowed 
 
 To ditto 2 J inches 401b. ditto 
 To ditto 2 ~ ditto 361b. ditto 
 To ditto 2 ditto 301b. ditto 
 
 ditto 
 
 88 
 
 to 
 
 9s 
 
 ditto 
 
 ditto 
 
 7s 
 
 to 
 
 8s 
 
 ditto 
 
 ditto 
 
 6 s 
 
 
 
 ditto 
 
 
 
 £■ 
 
 /. 
 
 d. 
 
 rs of the 1 
 
 1 
 
 18 
 
 
 
 
 •0 
 
 0 
 
 
 
 0 
 
 0 
 
 8i 
 
 for 
 
 oldi 
 
 1 
 
 
 X 
 
 
 . 
 
 - o‘ 
 
 14 
 
 0 
 
 like, per cwtt 
 Solder, at per pound 
 
 lead, per cwt. is r 
 Stop cocks, at per pound - - - o 
 
 Setting on, folder, and work for ditto o 
 If an inch and an half diameter, at 7 
 per cock - - - - 3 
 
 Ditto I i inch diameter, at per cock o 
 Ditto 3 ‘ ditto ditto o 
 
 Ditto i ditto ditto 9 
 
 Ball Cocks 
 
 The ball 6 inches diameter, and the 1 
 cock I inch, at per cock - - - i 
 
 Ditto 5 i inches ditto - - - o 
 
 Ditto 4 \ inches ditto - - - q 
 
 Brafs Cocks and BofTes 
 
 Frotn 3 inches, to i j inch diameter, 7 
 at per lb. -7 - - - 3 
 
 Pitto with folder, fetting on, and^ 
 work included, if i ^ inch dia- (o 
 piet^r, at per C9ck - -J 
 
 o I 
 
 10 
 
 6 
 
 Ditto 
 
54 ^he Gentleman and Tr’Abesman's 
 
 Ditto inch and i. 
 
 at per cock - 
 
 -c 0 
 
 S. 
 
 6 
 
 d. 
 
 0 
 
 Ditto inch . 
 
 ditto 
 
 - 0 
 
 5 
 
 0 
 
 Ditto i 
 
 ditto - 
 
 - 0 
 
 4 
 
 0 
 
 Ditto i 
 
 ditto 
 
 - 0 
 
 3 
 
 6 
 
 CHAP. IX. 
 
 Of Glaziers Work. 
 
 i^LAZIERS meafure their work by the^ 
 foot fquare, fo that the length and breadth 
 of a pane of glafs in feet, being multiplied into 
 each other, produceth the content and here it 
 may be neceffary to obferve, that they ufually 
 take their dimenfions to a quarter of an inch?;^, 
 and in rriultiplying feet, inches, and parts, the 
 inch is divided into 12 parts as the foot is, andi^ 
 each part fubdivided into 12, &c. 
 
 E X A M P L E;! 
 
 Suppofe a window having 8 p^es of glafsj^ 
 and the depth of each pane to contain 10 inches ; 
 and 6 parts, the length of all the panes added:-" 
 together, make 8 feet 6 inches, how many feet/ 
 of glazing are therein contained? 
 
 As the extent of thefe tables only reachv>to five - 
 feet fquare, you cannot have the whole length, - 
 therefore find the half thereof, viz. 4 feet 3 
 
 inches 5. 
 
CoMPLEAT Assistant, & c . 
 
 inches ; which being done, look for your depth, 
 viz. 10 inches and 6 pai-ts; and oppofite thereto) 
 in the column of meeting, you will- find 
 
 f. i. n. 
 
 vyhich being doubled, make 
 content of that window. 
 
 8 
 
 8 - 
 
 7 , S 
 
 7 
 
 7 
 
 the 
 
 The proof 
 
 f- i. p. f. f. 
 
 Length 8 6 o 
 
 Breadth o lo 6 
 
 o 4 3 o o. 
 
 7100 
 
 Feet 753 
 
 0/ the of. Glafs._ 
 
 ^•The glafs which we ufe here, in England Is 
 that \Yhich is made, at Newcaftle and Woolidgc. 
 The fize of thofe tables into which they, make 
 them, do contain about 5 foot j 4c of thefe ta 
 bias do account for a. cafe ; the price of which il 
 rather uncertain j for vyhen coals are plenty 
 glafs is cheap j and- when there is a fcarcity of' 
 Ooals in London, then glafs is obferved to b-* 
 dearer J and notwithftanding coals are feldom 
 Icarce at Newcaftle, yer, as they have no other 
 convcy^ce fo convenient for their glafs to Lon- 
 don, than by the coal fhips, it is oftentimes 
 dearer on that account, than otherwife it, would- 
 
 be; 
 
56 The Gentleman aiid Tradesman’s 
 
 be j fometimes at 30 s. and at other times at 40 
 the cafe ; therefore if glafs be worth fo rhuch 
 whole, it muft needs be Aill dearer when cut 
 into fquares or quarries^ 
 
 Of the cutting of Glafs: 
 
 To cut a cafe of glafs. into quarries, diamond 
 fafliion, (with halves, quarters, and three quar- 
 ters of quarries, as the glafs falls out) it is worth 
 about 6 s. 6d. or 7 s. and this form improves the 
 glafs beft, for that there is very little lofs. 
 
 Of thefe quarries, there are. different forms; 
 fome larger, fome fmaller ; but the moft general 
 Cze, is 6 inches from angle to angle, .one way; 
 and 4 inches the other; and every quarry of this 
 fize, contain 12 inches; and confequently there 
 fliould be 12 quarries in a foot, but between io 
 and 1 1 (counting halves and quarters) do ufually 
 make a foot, the lead fupplying the remainder; 
 and a foot of this glafs being banded and fet up, 
 5d. and 6d. a foot is a ufual rate; but in mea- 
 furing, cafements muft be meafured to the length 
 and breadth of the iron; and oval windows (if 
 any) "muft be meafured as if they were fquarc 
 windows, of fuch a length and breadth, for that 
 there is more trouble in them than in plain work. 
 There is another fort of glafs ufed here in 
 England, which is called Normandy glafs; of 
 this glafs, 25 tables make a cafe ; it is thinner; 
 clearer, and more tranfparent than the other, 
 and is much dearer, and is commonly cut into 
 long fquares; the fcveral. prices of which; ac.^ 
 
 cording 
 
CoMPLEAT Assistant, &c. 
 
 51 
 
 s. d. 
 
 X Q 
 
 o n 
 
 cording as buildings In general require, you have 
 in the following eftimates at large, viz. 
 
 Firfly Of Crown Glafs. 
 
 Grown glafs in faflaes, meafured neat, a ^ 
 
 ' per foot 3 
 
 The middle bars included, per foot i 
 
 ditto 3 
 
 Saflies glaz’d with crown glafs, put- 7 
 tied on both fides, per foot - - 5 
 
 Crown glafs glazing leaded, per foot o 
 Newcaflle glafs in fafhes, per foot a 
 fuperficial, from 6d. to - - - i 
 
 Ditto in lead, fuperficial - - - o 
 
 Safhes glaz’d with waved or jealous 7- 
 
 glafs, per foot — ) 
 
 With plate glafs, diamond cut, from 7 
 one to two foot, at per foot - - 3 
 
 From two to three foot panes, at per 7 
 foot • - , - ^ S ^ 
 
 From, three to four foot panes, at 7 
 ditto ....... -5^ 
 
 For glazing with fquare-work, folder 7 
 and lead only, per foot - - -3 
 
 Workmanlhip only, per foot - - o 
 
 To glaze with quarries, the workman 
 finding only lead, folder, and work, >0 
 at per foot - - - . . . ^ 
 
 Ditto only workmanfhip, per foot, i 
 from i^to - - 
 
 For taking down of quarry glafs,") 
 fcowering, foldering, banding, and [ o 
 
 4 
 
 5 
 
 5 
 8 - 
 
 3 
 
 6 
 
 I i 
 
 letting up, from it per foot to 
 
 I CHAP. 
 
58 Gentleman and Tradesman's 
 
 CHAP. X. 
 
 Of Smiths Work. 
 
 £• 
 
 ^ HIMNEY bars, at per lb. from } 
 
 ^ 3d. to - - 
 
 Common plain iron railing, per 7 
 
 pound — > ^ 
 
 Ditto with pilafters, per ditto -r - o o 
 Crofs window bars, fil’d, and work? 
 
 of the like nature, per pound - -3 ^ 
 
 Iron doors and {butters, at per pound o 1 
 A(h grates and cafements, at ditto -00 
 All hammer’d work, as ftays, up-l, 
 right window bars, iron fenders, j • 
 fhutter bars, pump-work bolts, •' 
 faddle bars, cramps, hold-fafts, ; ^ 
 
 wall-hooks, gudgeons, &c. from j 
 3 i: per lb. to - - -J 
 
 Pins, hoops, chains, hooks, &c. to? 
 
 ftable bails, per lb. — — . j ^ ^ 4 
 
 4 
 
 4 
 
 3i 
 
 6 
 
 S\ 
 
 o 
 
 8 
 
 As to the price of nails, lunges, latches, bolts, 
 locks, &c. (which are almoft innumerable) it 
 not only would here be very tedious to give in 
 particular, but alio w^ould be of very little ufe 
 or fatisfaCtion to any tradefmen, as it is welf 
 known to thofe who have occafion for any 
 quantity, that they may have a catalogue from, 
 the wholefale Smiths, or Ironmongers, w^here 
 , they are fold, together with the very lowed 
 prices thereof in general. 
 
 CHAP, 
 
CoMPLEAT Amistant, &c. 
 
 CHAP. XI. 
 
 Of Jquaring Dimenjiom. 
 
 ^ I ’'HE method of fquaring dimenfions, or 
 mcafuring the work of all artificers in ge- 
 neral, relating to building, is chiefly perform’d by 
 crofs multiplication, being that familiar and ne- 
 celTary part of arithmetic, which every artificer 
 whatfoever fliould endeavour to make himfelf 
 perfeftly acquainted with, notwithftanding we 
 frequently find too many deficient therein; there- 
 fore, being fo univerfally neceflary, both to 
 tradefmen, and the public in general, flaall here, 
 in the firft place, lay down fuch inflrudions, as 
 lliall render the fame eafy and intelligible to the 
 very meaneft capacity, regularly exemplifying all 
 the different branches relating to the works of 
 the faid artificers, both by X Multiplication at 
 large, and alfo by infpedionary cables. 
 
 The General Rule. 
 
 Feet multiplied by feet, produce feet ; feet 
 multiplied by inches, produce inches; feet mul- 
 tiplied by parts, produce parts, every twelve be- 
 ing one inch ; inches multiplied by inches, 'pro- 
 duce parts; inches multiplied by parts, produce' 
 feconds, every tw'clve being one part ; parts mul- 
 tiplied by parts, produce thirds, every twelve be- 
 ing one lecond ; by which it is nectelfiry to ob- 
 ferve, that twelve thirds make one fecend, and 
 
 I 2 twelve 
 
'6^; The Gentleman and Tradesman's 
 
 twelve feconds make one firft part; twelve firft 
 parts make one inch, and twelve inches mak6 
 one foot ; therefore twelve is a general divifor, 
 and particularly to be obferved in the method of 
 fqunring dimenfions throughout. 
 
 The following examples are explained at large, 
 in order to qualify the learner to perform the 
 fame arithmetically, viz. 
 
 EXAMPLE. 
 
 Let 7 feet 9 inches be multiplied by 3 feet 
 , 6 inches. 
 
 f. 
 
 i. 
 
 •P-. 
 
 7 
 
 9 
 
 Length 
 
 3 
 
 6 
 
 Breadth 
 
 23 
 
 3 
 
 prcdudl by 3 feet 
 
 3 
 
 10 
 
 6 ditto, by 6 inches 
 
 27 
 
 I 
 
 6 content 
 
 Firft, multiply 9 inches by 3, faying, 3 rimes 
 9 is 27, which make 2 feet 3 inches ; dec down 
 3 under inches, and carry 2 fb the feet, faying, 
 
 5 times 7 is 21, and 2 that I carry makes 23 ; 
 fet down 23 under the feer : then begin with 
 
 6 inches, faying, 6 times 9 is 54 parts, which 
 is 4 inches ; fet down 6 parts, and carry 4, fay- 
 ing, 6 times 7 is 42, and 4 that I carry is 46 
 inches, which is 3 feet jo inches, which fet 
 down, and add all up together, and the produdl 
 ds 27 feer, i inch, 6 parts. 
 
 Let 
 
‘CoMPLE AT 'A ssistant, & c . 6i 
 
 EXAMPLE IL 
 
 Let 75 feet 7 inches, be multiplied by 9 feet 
 8 inches. 
 
 f. 
 
 i. 
 
 P- 
 
 75 
 
 7 
 
 Length 
 
 9 
 
 8 
 
 Breadth 
 
 680 
 
 3 
 
 produd by 9 feet 
 
 50 
 
 4 
 
 8 ditto by 8 inches 
 
 Feet 730 
 
 7 
 
 8 content 
 
 Firft, multiply 9 feet, faying, 9 times 7 1$ 63, 
 which is 5 feet 3 inches 5 fet down 3, and carry 5, 
 faying,* 9 times 5 is 45, , and 5 I carry is 50 j lec 
 down o, and carry 5, faying, 9 times 7 is 63, 
 and 5 is 68; and proceed to multiply by 8 inches, 
 faying, 8 times 7 is 56 ; the twelves in 56 is 4 
 times, and 8 remains ; fet down 8 .in a place to 
 the right-hand, and carry 4 3 then multiply 75 
 by 8, which, divided by 12, the quotient is 50 
 feet, and 4 remains; fet down 50 feet 5 inches, 
 and add all up together, and you will find the 
 produd 730 feet, 7 inches, 8 parts. 
 
 EXAM P L E III. 
 
 A window is 6 feet 6 inches high, and 3 feet 4 
 inches broad, how many fquare feet glazing 
 are there ? 
 
 f. i. p. 
 
 6 , 6 Length 
 
 3 4 Breadth 
 
 220 produd by 4 inches 
 19 6 I produd by 3 feet 
 
 Feet 21 8 o the anfwer. 
 
62 The Gentleman and Tradesman’s 
 
 A cieling is 13 feet broad, and 17 feet 4 inches 
 long, how many fcjuare yards doth it con- 
 tain ? 
 
 f. i. 
 
 17 4 Long 
 
 13 Broad 
 
 9)225 4 
 
 fquare yards 25 the anfwer. 
 
 A floor is 24 feet 6 inches long, and 17 feet 6 
 inches broad, how many fquares doth it con- 
 tain ? 
 
 
 r. 
 
 i. 
 
 f. 
 
 i. 
 
 Length 
 
 24 
 
 6 I Length 
 
 24 
 
 6 
 
 Part of breadth 
 
 0 
 
 10 1 Remainder of breadth 
 
 7 
 
 6 
 
 
 245 
 
 0 
 
 12 
 
 3 ® 
 
 
 >83 
 
 9 
 
 I7I 
 
 6 
 
 Feet in a fquare 
 
 100)428 
 
 9(4 fquares 
 
 '83 
 
 9 
 
 Peet 
 
 28 9 inches 
 
 That is, 4 fquares, 28 feet, and 9 inches. 
 
 ' Note^ In tlie method of the above example^ 
 the breadth is divided into two parts, viz* the 
 one, 10 feet, and the other, 7 feet 6 inches, 
 which is 17 feet 6 inches, the produdts of which 
 are added together, being much eafier, when the 
 breadth run large. 
 
 See the fame wrought at one operation 
 hereafter. 
 
 E X A M- 
 
CoMPLEAT Assistant, ^ c . 63 
 
 EXAMPLE IV. 
 
 If a room be 27 feet 6 inches long, and 17 
 feet 6 inches broad, how many fquare feet are 
 contained in that room ? 
 
 The breadth divided into 10 feet, and 7 feet 6, 
 inches ; thus, 
 
 Length 
 Firft by 
 
 f, 
 
 27 
 
 i. 
 
 6 
 
 10 
 
 Length 
 Secondly by 
 
 f. 
 
 27 
 
 -7 
 
 i. p. 
 
 6 
 
 6 
 
 Added 
 
 295 
 
 206 
 
 0 
 
 3. 
 
 
 13 
 
 192 
 
 95 
 
 6 
 
 Feet 
 
 481 
 
 3 
 
 ‘ 
 
 206 
 
 3 0 
 
 Anfwer, 481, fquare feet and 3 inches. 
 
 EXAMPLE V, 
 
 If a board be 9 feet 9 inches long, and i foot 
 4 inches and 6 parts broad, what is the fuper-* 
 pcial content of that board or plank ? 
 
 
 f 
 
 i. p. 
 
 f. 
 
 t. 
 
 Length 
 
 9 , 
 
 9 0 
 
 
 
 Breadth 
 
 
 I 
 
 4 
 
 6 
 
 
 0 
 
 4 10 
 
 6 
 
 p by 6 parts 
 
 
 3 
 
 3 ° 
 
 0 
 
 by 4 inche; 
 
 
 _9 
 
 9 0 
 
 
 by 1 foot 
 
 Feet 
 
 '3 
 
 4 10 
 
 6 
 
 0 anfwer 
 
 If 
 
64 The Gentleman and Tradesman's 
 
 If a plank be 9 feet .5 inches 6 parts long, 
 and 3 feet 4 inches and 5 parts broad, how many 
 fquare feet are contained therein ? 
 
 f. i. p. f. t. 
 
 Length 9 5 b 
 
 Breadth 3 45. 
 
 o 3 1 1 3 6 product by 5 parts 
 
 3 I 10 o ditto by 4 inches 
 
 2846 ditto by 3 feet 
 
 Feet 31 10 3 3 6 anfwer 
 
 Anfwer, 31 feet, 10 inches, 3 parts, 3 fcconds, 
 and 6 thirds. 
 
 E X A M P L E VI. 
 
 If a room be 109 feet 6 inches round, and 
 12 feet 4 inches high, how many fquare feet; 
 are contained therein ? 
 
 f. i. 
 
 Length 109 6 
 
 Height 
 
 12 . 4 
 
 
 
 36 9 0 
 
 produ(fl by 4 inches 
 
 
 1314 0 
 
 ditto by 12 feet 
 
 Feet 
 
 1350 9 0 
 
 content 
 
 
 Anfwer, 1350 
 
 feet .9 inches. 
 
 There is a roof cover’d with tiles, whofe 
 depth on both fides (with the ufual allowance at 
 the eaves) is 35 feet 6 inches, and the length 
 
CompleAt Assistant, & c . 6 $ 
 
 48 feet 9 inches, how many fquares of tiling 
 aie contained therein, wrought by half the 
 breadth^ which is 17 feet 9 inches? thus. 
 
 f. i, p. f. i. p.' 
 
 Length 48 9 I Length 48 9 
 
 Part of the breadth 10 {Remainder 7 9 
 
 487 6 36 6 9 
 
 377 9 9 34 ^ 3 
 
 377 9 9 
 
 Half content 865 3 9 
 
 Ditto added 865 3 9 
 
 Feet 1730 7 6 anfwer. 
 
 In the above method, the content is firft found 
 for half the breadth ; which being doubled, as 
 in the example, by addition, make 1730 feet, 7 
 inches, and 6 parts, equal to 17 fquares, 30 feet, 
 7 inches and an half. 
 
 Of Digging* 
 
 HIS work is done by the cubic, or folid 
 yard, containing 27 feet, or 3 feet every 
 way, viz. in length and breadth. 
 
 EXAMPLE. 
 
 A cellar, or lower part of a building, is de- 
 figned, that is 45 feet 8 inches long, 21 feet 6 
 inches wide, and 6 feet 8 inches deep, whac 
 number of yards is therein contained ? 
 
 Length 
 
66 ^he Gentleman and Tradesman’s 
 
 f. i. p. 
 
 Length 45 8 
 
 Width 21 6 
 
 Feet 
 
 Multiplied by depth 
 
 485 1 1 o produft by 6 * inches 
 5831 o ditto by 6 feet 
 
 ‘ Feet 6316 II o fulid content 
 
 * NotCy When you have any large number of 
 feet to mulriply by 6 inches, the moft eafy me- 
 thod is to take half thereof, which both faves the 
 trouble of multiplying and dividing the product 
 by 12, as in this example above. 
 
 An Explanation of the following Tables, 
 adapted to meafurement. 
 
 Thefe tables confift of feveral columns, noted 
 at the head of each of them with fuch figures as 
 reprefent the length of any meafurement in feet 
 and inches, thus, i £ i i. i £ 2 i. i £ 3 i. &c. 
 under which is written, In each column, the 
 word Content ; and under that, thefe letters, 
 ‘f. i. p. which fignify the content in feet, inches, 
 and parts of an inch, according to the faid length 
 ■given on the head of fuch column, and the 
 breadth in the left hand column, numbered 
 downwards, with 2, 3, 4, 5, &c. to ii inches, 
 from thence with i, 2, 3 feet, &c. to the bottom 
 
 T produ6l by 6 inches, 
 22 I o o > equal half of 45 feet 
 J 8 inches 
 
 90^ ° produd by 21 feet 
 
 971 10 
 6 6 
 
 o fuperficial content 
 
Compleat Assistant, 67 
 
 of each table ^ fo that if you meafure the length 
 and breadth of any thing,- and find the breadth 
 in this column in the left hand fide of each ta- 
 ble, and the length at the head, the number 
 which ftands oppofite in the common meeting 
 of thefe two numbers, is the content thereof in 
 feet and inches ; the ufe of which is hereafter 
 made evident by various examples. 
 
 Of Brick Work. 
 
 fo reduce Bnck-work of any thicknefs^ to the 
 
 Jiandard tbichief of one brick and an half 
 
 This is the Rule ; 
 
 Multiply the number of feet contained in the 
 fu'perficial content of the wall, by the number of 
 half bricks that the wall is in thicknefs; which 
 produd:, divided by 3, the quotient is the true 
 content of the brick- work required, reduced ta 
 the fiandard thicknefs of one brick and an half. 
 
 Note^ When you meafure two walls that con- 
 ftitute an angle, the length of one mufl; be taken 
 outfide, the other ontheinfide; alfo, in refpedt' 
 to chimneys, meafure them as the folid wall, 
 and dedud the vacancy between the jaumbs, and 
 the mantle funnels are allowed folid, in regard 
 to the trouble, and the pargetting the infide* 
 
 ^ E X A M P L E. 
 
 Of the Redudlion of Brick-vjorh 
 
 Suppofe a wall (or the addition of feveral 
 lengths of walling) to be 824 feet, and the 
 
 K 2 thick- 
 
68 Gentleman and Tradesman’s 
 
 thicknefs of two bricks, how much reduced ' 
 brick-work is therein ? ^ 
 
 fuperficial content 324 feet 
 
 Multiplied by the number of 4 bricks 4 
 
 “''number of Ibikks in uiTalndnrd } 3) > ^96(43^ «=« reduced 
 
 1 2 
 
 ^ 9 
 9 
 
 Tk 
 
 6 
 
 To bring reduced feet into rods, this is the rulce, 
 Divide the number of feet (reduced as above> 
 by the number of fquare feet in a rod, that is, 
 272 but as this is always ufed for a divifor, 
 the fraftional part 5, is commonly omitted ^ as 
 the value thereof, even in a large number of feet,, 
 would fcarcely be material. • 
 
 Example as above. 
 
 feet in a rod is 
 
 16 i 
 
 number of feet to be divided 
 
 Multiplied 
 
 16 4 
 
 96 
 
 16 
 
 r. q. f. 
 ^72)43 2(1 2 24 
 
 272 
 
 for the parts 
 
 Idi 
 
 *68)160)2 qrs. facit 
 
 divifor 
 
 272(1 
 
 or f. in a rod 
 
 
 remains 24 feet 
 
 * Note 68 
 
 feet is a quarter of a rod ; thqs, 
 4)272(68 feet 
 
 * 
 
 
 24 
 
 
 
 ■ 32 
 
 
 
 32 
 
CoMPLEAT Assistant, &c. 69 
 
 ■ This iaft example may be fufficient to (hew 
 the true method of reducing brick-work of any 
 thicknefs, to the ftandard thickncfs of one brick 
 and an half thick; and alfo to give the content' 
 (when fo reduced) in rods, &c. — But whereas I 
 have calculated tables, in the firft part of this 
 book, which readily gives the content of any di- 
 menfions hereof, ready reduced, there will be 
 little need of taking fo tedious a method as this, 
 unlefs it be thoie who are fomewhat already ac- 
 quainted with figures, and choofe to fatisfy titern- 
 felves with the nature and reafon thereof, which 
 in fuch cafe, undpubtedly is very necelTary. 
 
 How to perform the meafurement of Brick-wori, 
 
 by the following fables. 
 
 EXAMPLE I. 
 
 If a brick wall be 40 feet long, 9 feet 1 1 
 inches high, and i 4 brick thick, how many rod 
 and feet doth tt contain ? 
 
 Look for that table on which it hath on the 
 head, 40 feet, (the length of the wall) which 
 being done, feek in the left hand column for 9 
 feet II inches, (the height thereof) firft taking 
 9 feet, guiding your finger on the fame line, tifl 
 you come to that column whereon it hath 46 
 feet at head, where you will find 360 feet; m 
 like manner feek the 1 1 inches, (the remainder 
 of the height) and you will find 36 feet 8 inches- 
 which being added, make '* 
 
 f. i. 
 
 360 
 36 8 
 
 396 8 the content thereof m kct 
 
 I 
 
70 "The Gentleman and Tradesman’s 
 
 which, to bring into rods, &c. you have beeii 
 (hewn in the former example; otherwife, refer 
 to the reduced tables in the firft part, where you 
 will find the number of rods therein contained. 
 
 The proof by Multiplication. 
 
 fi i. p. 
 
 Length 40 o 
 
 Height 9 II 
 
 36 
 
 8 
 
 0 
 
 360 
 
 0 
 
 r. qr. f. i.. 
 
 feet in a rod 272)396 
 
 8 
 
 0 (i I 56 8 
 
 272 
 
 
 facit 
 
 68)124(1 qr. 
 68 
 
 feet 56 
 
 E X A M P L E II. 
 
 A piece of Tiling is 40 feet long, and 10 feet 
 6 inches broad, how many fquares are therein 
 contained ? 
 
 Seek as before dire'fled for the table of your 
 length, viz. 40 feet; then find the breadth, 10 
 feet, in the left hand column, for which you 
 will find, in the common meeting of the laid 
 length and breadth, 400 feet; then feek 6 inches 
 (the complement of the breadth) for v/hich you 
 will find 20 feet; thefe added together, make 
 420 feet, the content thereof, which, to bring 
 
 into 
 
CoMPLEAT Assistant, &c. yx 
 
 into fquares, is only cutting off the 20 j and the 
 ^ fb cut off on the left hand fide, is 4 iquares, 
 and the 20 on the right, are remaining feet, and 
 equal to i-5th part of a fquare more, thus, 
 
 4|;2o equal to 4 fquares and 20 feetj 
 
 or thus, if you can divide, 
 
 feet in a fquare 100)420(4 fquares, 20 feet 
 
 400 
 
 120 feet 
 
 See the proof by Multiplication underneath. 
 
 The proof. 
 
 f. i. p. 
 
 Length 40 o 
 
 Breadth 10 _ 6 take half 40 for 6 inches 
 
 20 o o which here is 20 feet 
 400 o product by 10 feet 
 
 content f. 420 o divided by 100 for the fq, 
 
 thus, 
 
 1 1 oo)4['2o( 
 
 equal 4 fquares 20 feet, as required. 
 example hi. 
 
 How many fquares are there in a piece of tyling ? 
 
 the length being 50 feet 
 and breadth 30 feet 
 
 fquares i^j!op 
 facit. 
 
 0 / 
 
^2 'The Gentleman and Tradesman’s 
 
 Of Carpenters Work. 
 
 T O meafure the body of a timber building, 
 take the length of one fide and one end, 
 and add them together, and multiply that fum . 
 by the height, (taken from the under-fide of the 
 cill, to the upper-fide of the rifing) gives the 
 content of one fide and one end; which, being 
 doubled, give the content of the whole body of 
 the building in feet. 
 
 EXAMPLE. 
 
 If a timber building be 35 feet 6 inches long, 
 18 feet 3 inches broad, and height of the build- 
 ing 19 leet, how many fquares of framing are 
 therein contained ? 
 
 By Multiplication 
 f. i. 
 
 Length 35 ® 
 
 Breadth i ^ 3 
 
 ProdtK^ added 
 
 53 
 
 9 
 
 Multiplied by height 
 
 
 19 f. 
 
 feet — 
 
 1021 
 
 3 ' 
 
 doubled, or xd. by 
 
 
 2 
 
 Divide by 100 7 
 
 20(42 
 
 6 
 
 is s 
 
 fq. f. 
 
 i. 
 
 xd. by 9 is 
 
 12)171(14 f. to carry, & 
 12 3 i* to fet down 
 
 51 
 
 ii 
 
 ^ inches 
 
 content of the two fides and ends, of whole building. 
 
 Or 
 
CoMPLEAT Assistant, &c. 
 
 71 
 
 Of by this method, which is much eafier y 
 
 f.f. 
 
 Divide the height into lo and g which equal 19 feet 
 
 and proceed thus by two operations. . 
 
 length and breadth added 
 Fart of the height 
 
 feet 
 
 added 
 
 f. 
 
 i. 
 
 ‘ 
 
 S 3 
 
 9 
 
 1 Ditto 
 
 10 
 
 1 Remaining height 
 
 537 
 
 6 
 
 feet 
 
 483 
 
 9 
 
 - 
 
 1021 
 
 3 
 
 
 
 Z: 
 
 doubled 
 
 f; i. 
 53 9 
 9 
 
 48} 9 
 
 whole content as above, 
 is ^ - 
 
 equal to 20 fquares, 42 feet, 
 6 inches. 
 
 By' the Tables, 
 
 The produdt of the length and breadth, here 
 added, is 53 feet 9 inches, which exceed the 
 extent of thofe tables ; therefore it will be necef- 
 fary for the reader to obferve the following me-^ 
 thod : firft, to take the table 
 
 f., i. 
 
 33 9 lengths 
 
 and 20 ditto. 
 
 feet SI. 9 •' ■ ~ 
 
 which, together, make the required' produft;. 
 viz. 53 feet 9 inches; and fo proceed; firft,, 
 with 20 feet 9 inches. Having in this table 
 found the breadth 19. feet, you will find the 
 content to be 380 feet; then proceed to table 33 
 feet, length, and for the faid breadth 19 feer, 
 , L yQ>i 
 
74 Gentleman and - Tradesman’s 
 
 you will find 627 feet ; but whereas, the odd 
 inches belonging to this table, is wanting, you 
 muft tak^e (according to the rule) 3 parts of 19 
 feet, (the height) which is 14 feet 3 inches; and 
 thefe being added together, and doubled, wiU 
 ipake 2042 feet 6, inches, as before; thus, 
 
 f. i. f. i. 
 
 Table 33 9 long 641 3 
 
 Table 20 ditto 380 o 
 
 the height 53 9 is io| 2i 
 
 3 
 
 as beforfc 
 
 fq; 
 
 f. 
 
 i.' 
 
 Anfwer lo 
 
 21 
 
 3 
 
 which doubled, j 
 
 21 
 
 3 
 
 make as required \ 
 
 42 
 
 6 
 
 EXAMPLE. 
 
 A floor is 24 feet 6 inches long, and 17 feet 
 6 inches wide, how many fquares doth it con- 
 tain? 
 
 f. i. p. 
 
 Length 24 6 
 
 Width 1 7 6 take half 24 feet 6 inches, for 6 incheS; 
 12 3 o the produft 
 
 240 l\ produaby i-feet 
 
 feet 4)28 9 0 content in feet 
 
 Anfwer 4 fquares, 28 feet, 9 inches. 
 
 Note, You may divide the width, 17 feet 6 inches, into 9, feet, 
 and 8 feet 6 inches, and work at two operatioris, as before. / 
 
CoMl>L£Af Assistant, &c. 75 
 
 Of R O O jp I N G. 
 
 Y T is iifually a rule amongft workmen, that 
 * the flat of aiiy houfe, and half the flat 
 thereof, (taken within the walls) is equal to the 
 meafures of the roof of the fame houfe ; but this 
 is, when the roof is true pitched; for if the 
 roof be more flat, or deep, than the true pitch, 
 it will confequently meafure more or lefs. 
 
 EXAMPLE I. 
 
 If a houfe within the Walls be 46 feet 9 inches 
 long, and 20 feet 6 inches broad, how many 
 fquares of roofing will cover that houfe? 
 
 RULE. 
 
 Multiply the length and breadth together, 
 and the produdl is the number of feet contain’d 
 in the flat; then take the half thereof, and add 
 to the flat; that fum divided by 100, is the, 
 number of fquares contained therein. 
 
 EXAMPLE IL 
 
 Length 
 
 f. 
 
 46 
 
 n 
 
 9 
 
 p* 
 
 
 Breadth 
 
 
 20 
 
 6 
 
 
 
 23 
 
 4 
 
 9 
 
 
 
 925 
 
 0 
 
 
 
 Rat 
 
 948 
 
 4 
 
 6 
 
 facet 
 
 half 
 
 474 
 
 2 
 
 3 
 
 14 22 6 9 
 
 ‘Hi 22 6 9 fcj. f. i. p. 
 
 fij. f. i. p. 
 
 L z 
 
 EXAM- 
 
y6 T^ke CjEntleman and Tradesman's 
 
 EXAMPLE III. 
 
 Suppofe a four-pannel fquare door be 5 feet 
 
 1 inch in height, and 3 feet 4 inches broad, how 
 many feet doth that door contain ? 
 
 Having found the table agreeable to your 
 height, 5 feet i inch, look for the width thereof, 
 
 2 feet 4 inches ; oppofite which, in the common 
 meeting of the faid numbers, you will find as 
 follows, viz. for 3 feet, 15 feet 3 inches 5 and 
 for 4 inches, i foot 8 inches and 4.parts, which, 
 being added together, make 16 feet ii inches 
 and 4 parts, the content thereof ; thus, 
 
 f. i. p. 
 
 content for 3 feet in width 15 3 o 
 
 ditto for 4 inches ditto 183 
 
 content in fquare feet 16 ii 3 
 
 The proof by Crofs Multiplication. 
 
 
 f. 
 
 i. 
 
 P- 
 
 Length 
 
 5 
 
 1 
 
 
 Breadth 
 
 3 
 
 4 
 
 
 
 15 
 
 3 
 
 content by 3 feet 
 
 
 I 
 
 8 
 
 4 content by 4 inches 
 
 feet 
 
 16 
 
 I 1 
 
 4 content required 
 
 
 Or thus. 
 
 by a fecond method. 
 
 
 f. 
 
 i. 
 
 P* 
 
 Length 
 
 5 
 
 I 
 
 
 Breadth 
 
 
 3 
 
 4 
 
 
 1 
 
 8 
 
 4 content by 4 inches 
 
 
 15 
 
 3 
 
 content by 3 feet 
 
 feet 
 
 j6 
 
 II 
 
 4 content required 
 
CoMPLEAT Assistant, '&c. 77 
 
 The foregoing examples, together with the 
 former direftions, being well oblerved, may ena- 
 ble the reader to find the content of any dimen- 
 fions almoft whatfoever required, if the faid 
 length and breadth of fuch given dimenfion, do 
 not exceed the extent of thefe tables, which, if 
 fo, will require a little more difficulty; but 
 ffiall, hereafter, make it even then eafily to be 
 underllood by z few examples; therefore, ffiall 
 give a few more in this place, for pradice in the 
 common way, . . ■ 
 
 EXAMPLE rv. 
 
 Suppofe a boarded floor, .or cieling, wainfcot 
 of a room, &c. be in length 24 feet, .and in 
 breadth 18 feet 9 inches, how many feet, inches, 
 and parts, are therein contained ? 
 
 Firft, look for the table expreffing your length, 
 viz. 24 feet, in which feek your breadth, 18 
 feet 9 inches, and you will find, cppofite 9 
 inches, the content to be 18 feet; and oppofite 
 18 feet, the content to be 432 feet, which, be- 
 ing added, make 450 feet, the content required. 
 
 Proof by Crofs Multiplication, 
 f i’ .2+ 
 
 eSth ^8 9 } memorandum by 9 
 
 ^ 12)216(18 
 
 432 o content by 1 8 feet 12 
 
 18 o o content by 9 inches — 
 
 — , 9 ^ 
 
 ' o content required. 96 
 
 feet 
 
 450 o 
 
78 ‘ 1 ‘he Gentleman and TradLsman’s 
 
 By a fecond method* 
 
 f. i. p. 
 
 Length 24 o o 
 
 Breadth 18 9 
 
 18 o o content by 9 inched 
 432 d o content by 18 feet 
 
 Feet 450 o o content required; 
 
 By thefe diredions, all dimenfions of mode“ 
 rate extents, may be fquar’d with eafe, to the 
 greateft exaftnefs : and when the nature of the 
 work require the content in fquare yards, fuch 
 as painting, plaftering> &c. it is only dividing 
 the faid content by 9, the feet in a fquare yard, 
 and the quotient is the anfwer. One example 
 may be fufficient to inftrud any perfon deficient 
 therein. 
 
 Example of the above : 
 
 feet in a 
 fquare yard 
 
 } 9)450(50 content in yds as req. 
 
 45 
 
 o 
 
 N. B. In Carpenters work, -flooring, parti- 
 tioning, and roofing, are commonly meafured 
 by the fquare of 10 teetlong, and 10 feet wide; 
 fo that 1 fquare' contains 100 fquare feet. ^ The 
 method of finding the number of Iquares in any 
 number of feet, is only dividing by ioo, and 
 
 the quotient is the anlwer ; which luppofe the 
 
 above, 
 
CoMPLEAT Assistant, & c . 79 
 
 above, thus, 100)450(4 fquares and 50 feet, 
 equal to i fquare j or by cutting off the two cy- 
 phers, thus, 1 1100)4(50, that is, 4 fquares and 
 50 feet over, which is equal to half a fquare 
 more i and fq of any larger number. See more 
 examples hereafter, 
 
 E X A M P L E V. 
 
 Suppofe a room be 20 feet long, and 1 1 feet 
 6 inches broad, how many fquare feet are con- 
 tained therein? 
 
 Seek for the table of 20 feet long, according 
 as before diredled; which being "done, look 
 down the fame column, till .you come oppofite 
 1 1 feet, the breadth, and you will find 220 feetj 
 and for 6 inches, (the remainder of the breadth) 
 you will find 10 feet, which'being added to the 
 former, make 230 feet, the full fuperficial con- 
 tent requir’d, 
 
 The proof. 
 
 Length 
 
 t. 
 
 20 
 
 1. 
 
 0 
 
 P- 
 
 0 
 
 breadth 
 
 1 1 
 
 6 
 
 0 
 
 
 220 
 
 0 
 
 0 content by 1 1 feet 
 
 
 10 
 
 0 
 
 0 ditto by 6 inches 
 
 Feet 
 
 , 230 
 
 0 
 
 p content required. 
 
 E X A M P L E VI. 
 
 Suppofe the compafs round a room meafure 
 50 feet, and the height 9 feet 6 inches, how 
 tn^ny feet are contained therein ? 
 
 Compafs 
 
8o The Gentleman and Tradesman’s 
 
 Corppafs 50 o o 
 Height 960 
 
 25 o o for 6 i. being the I of 50 f. 
 450 o o for 9 feet 
 
 Feet 475 6 o content requir’d. 
 
 The reader is defired alfo to obferve, that 
 noiwithftanding thefe tables are not calculated 
 any further than 20 feet in length, by every 
 fi gle inch, yet all dimenfions in the common 
 way, may be fquared within this compafs ; and 
 in lefped to hufinefs of greater extent, the re- 
 m iiing tables of i foot each, v/ill be found 
 fu'ficitnt to folve any that may be requir’d, at 
 pi fire. An example or two, for pradtice, will 
 in. it appear very eafy, if properly obferv’d,. 
 v/h.ch fiippofe as follows,, viz.. 
 
 Length 100 fee*:, ai}d breadth 37 feet 10 inches,^ 
 what is the content in fquare feer. 
 
 Firft, feek the table neareft to agree with your 
 length, which is that of 50 feet (being the 
 lafl: table); next, feek out your breadth, which 
 is 37 feet 10 inches, for which you will find,^ 
 for 10 inches 41 feet, 8 inches content l and for 
 3 / feet, 350 feet content; and for 30 feet, (the 
 complement of your breadth) 1500 feet in con- 
 tent, which, being all added,, make the true 
 content for 50 feet in length, thus, as in the 
 following page.. 
 
 Content 
 
CoMpleat Assisi'ant, a 
 
 f. i. 
 
 Content of 30 feet — — - 1500 
 
 content of 7 feet ^ - 3^0 
 
 content of 10 inches - - - 418 
 
 Content of 37 feet 10 inches - - 1891 8 
 
 And whereas, your dimenfion was required for 
 160 feet in length, you muft double this content, 
 and the produft is the content requir’d, viz. for 
 ioo feet in length 5 for twice 50 is lOo, thus, 
 
 f. . i. 
 
 content of 50 feet long - ^ ^ i8gi 8 
 
 content of 50 ditto - ^ 1891, 8 
 
 content of feet, 106, as requir’d - 3783 4 
 
 or thus, if you can multiply; 
 
 f. i. 
 
 1891 8 content of 50 feet long 
 
 by 2 ' * 
 
 3783 4 content as required for 100‘fect. 
 
 Example of the proof by Crofs Multiplication. 
 
 f. i. p. ^ . o 
 
 Length ico o : 
 
 Breadth 37 
 
 83 
 
 ^ ^ produdl by 37 feef'‘‘ 
 4, o pfodudt by 10 Inches 
 4 o content requir’d. 
 
 M There 
 
 Feet 
 
8^" I’he Gentleman ajid Tradesman’s 
 
 There is, in the next place, a neceffary poln^ 
 to explain to the reader, in refpedl to the inches 
 wanting in the tables, viz. between thofe of* 
 20 and 50 feet in length, which increafe i foot 
 at each ftep 5 therefore, where there are inches 
 included with the feet, as commonly is the cafe 
 in moft dimenfions promifcuoully taken, (in 
 lengths as well as breadths) it will fometimes 
 perhaps happen, that fuch lengths as are re- 
 quired, cannot exadly be found here, as in the 
 former part of thefe tables of feet and inches, 
 which, without fome method laid down to faci- 
 litate the fame, the reader, no doubt, would 
 find fome difficulty ; therefore it will be very 
 neceffary to obferve the following diredions, viz. 
 When the cxadl length can only be found, agree- 
 able in feet wdth your given dimenfion, but defi- 
 cient in the inches, obferve 
 
 This Rule. . 
 
 If the number of inches deficient in lengthy 
 be I, add i-i 2 th-part of the given breadth to 
 the produd; if 2, add i-dthj if 3, add i-4th ; 
 if 4, add i>3d; if 6, add i-ha!f; if 9, add 3- 
 4ths: as for the red, or intermediate inches, 5, 
 8, 10 and 1 1, they may eafily be imagined to the 
 leaf!: difference poffible. 
 
 Note^ That the inches in the breadth will 
 never, be found deficient. 
 
 E X A M P L E. 
 
 Suppofe the length be 38 feet 6 inches, and 
 breadth 27 feet 9 inches, what is the content in 
 fccr-,- iches, and parts ? 
 
CoMPLEAT Assist 
 
 The table of 38 feet long, following, agrees 
 with your length in feet, but in inches, deficient, 
 therefore feek your breadth, 27 feet 9 inches, 
 (the contents for which, are as follows) viz. for 
 9 inches, 28 feet 6 inches ; for 7 feet, 266 feer, 
 and for 20 feet, 760 feet, which added, make 
 1054 feet 6 inches; then for the 6 inches want- 
 ing in length, (according to the former direc- 
 tions) take half of the breadth, 27 feet 9 inches, 
 which is 13 feet, 10 inches, 6 parfs; which, 
 added to the above, make 1068 feet, 4 inches, 
 6 parts, the content required. 
 
 The proof by Crofs Multiplication. 
 
 f. i. p. 
 
 Length 38 6 ' breadth 
 
 Breadth 27 9 
 
 ^ J content by 27 feet 
 28 10 6 content b,y 9 inches 
 feet 1068 4 6 content required. 
 
 Thefe two laft methods will only be requir’d, 
 when the work run to confiderable extents in 
 the dimenfions, which feldom happen in the 
 common courfe of bufinefs. 
 
 EXAMPLE. 
 
 Suppofe a door be 6 feet 4 inches high, aqd 
 3 feet 9 inches broad, how many feet doth that 
 door contain ? 
 
 M 2 Length 
 
84 T*he Gentleman and Tradesman's 
 
 f. ' i. p, 
 
 Length 6 4 
 
 Breadth 3 9 
 
 19 o by 3 feet 
 4 9 o by 9 i*nches 
 
 content feet 23 9 o required. 
 
 E X A M P L E. 
 
 Suppofe a flpor be 57 feet 3 inches long, and 
 28 feet 6 inches broad^ how many fquares oj 
 flooring are therein ? 
 
 Length ------- 
 
 i. 
 
 57 
 
 1. 
 
 3 
 
 p- 
 
 Half the bieadth - 
 
 14 
 
 4 
 
 Produdt by 4 inches - 
 
 19 
 
 I 
 
 0 
 
 Ditto by J4 feet - - - ^ 
 
 231 
 
 6 
 
 
 57 
 
 
 
 Half content - - 
 
 820 
 
 7 
 
 0 
 
 Multiply by - - - 
 
 
 
 2 
 
 Content feet - - - 
 
 i6|'4i 
 
 2 
 
 0 
 
 Anfwer, 16 fquares, 
 
 41 feet. 
 
 2 inches. 
 
 Note, lx\ the above example, the breadth is 
 divided into half; therefore that content being 
 doubled, (or multiplied by 2, as is here) the 
 produtft is the anfwer, which method mav occa- 
 flonally be ufed, as it vyili lave much trouble in 
 the w’ork. 
 
 0 / 
 
CoMPLEAT Assistant, &c. ' 8^' 
 
 Of Plaisterers Work. 
 
 A Cieling Is 14 feet broad, and 17 feet 6 Inches 
 long, how many yards doth it contain? 
 
 Seek for the table agreeable to your length, 
 viz. 17 feet 6 inches; which being done, you 
 will find, for’ 14’ feet in breadth, 245 feet, 
 which, to bring into fquare yards, you muft di- 
 vide by 9, the number of feet in a fquare yard ; 
 or if you cannot divide, you may find 245 in 
 the laft table in this book, adapted for this pur- 
 pofe, where you will have your defire by in- 
 fpedlion, ' 
 
 NotCy It will fometimes fall out, that you 
 cannot find the exa£l number you want in the 
 faid table; but, if you take the neareft there- 
 unto, not exceeding, you will have the number 
 of fquare yards therein, and the deficiency is re- 
 maining teer, as in the above example ; the 
 neareft number to 245, is in the table thus di- 
 ftinguiftied a * 243, the fquare yards in which 
 is 27, fo that the difference between the faid 
 numbers being only 2, they are remaining feet, 
 over and above 27 fquare yards, as required. 
 
 The 
 
86 ^he Gentleman Tradesman’s 
 
 , The proof by Multiplication* 
 f* i.- 
 
 Length 17 6 
 
 Breadth 14 feet 
 
 75 o ■ 
 
 17 yds. f. 
 
 Pivided by 9)245 0(27 2 proof 
 
 18 
 
 •65 
 
 Remain 2 
 
 Of Rendering. 
 
 If the partitions between rooms be 140 feet 
 6 inches about, and 1 1 feet 3 inches high, how 
 many yards are in thofe partitions ? 
 
 It will be neceffary here to obferve, that the 
 given length exceed the extent of thofe tables, 
 therefore you may divide it into two parts, viz. 
 100, and 40, and fo proceed thus : Firft, for 
 part of the length, 40 feet, feek as iifual for the 
 breadth, viz. ii feet, and you will find 440 
 feet; and for 3 inches 10 feet, which together 
 make 450 feet; then for the remaining 100 feet 
 in length, take the table 50, and double it, 
 which is equal to 100 ; therefore for the breadth, 
 
 1 1 feet, you will find 550 feet; and for 3 inches 
 
 12 feet 6 inches, which, together, make 562 
 feet 6 inches (for 50 feet in length); 
 
,, CgmpleAt Assistant, G?f. 
 
 . ‘ • f. '.i. ' , ■, 
 
 this being doubled 562 6^ , 
 
 562 6 
 
 make ..,-^ - feet 1 12 c. . o equal to 100 f.Jn length ' ' ' 
 
 to which add - - - * 450 o' content of 40 f. in length 
 
 the product is, feet 1575 o equal to 140 f. in length as requir’d 
 
 ,Thq proof by Crofs Multiplication. 
 
 f. i. p . , ; / • : f . , 
 Length 140 o ' ‘ ^ 
 
 Breadth 1 1 ^ 
 
 35 o o ‘ - 
 
 1540 o o 
 
 9)^575 o 0(175 fqu are yards 
 
 9*1 
 
 67' 
 
 ^ 3 ^ 
 
 ‘45 ^ ^ 
 
 Seek 1575' the table thus diftinguilhed e*, 
 and you will find as above, 175 fq, yards. 
 
 A cieling is 20 feet 6 inches long, and 14 feet 
 .1 1 inches broad, how many fquare yards doth it 
 contain ? ' ' . 
 
 ' “ ' f. i. p. 
 
 Length 20 6 
 
 Breadth ia . 11 
 
 19 7 6 produfl by ii inches 
 
 287 o o ditto by 14 feet 
 
 Feet 306 7 6 content in fquare feet 
 
88 -Gentleman -Tradesman’s 
 
 Divide the beforememioned feet by 9,' the feet in a fquare yard, 
 
 thus, . - 
 
 Feet 9(306(34 fquare yards, to which bring down 7 feet 6 parts, 
 2/ and the content is 34 yards, 7 feet, 6 parts/ 
 
 Note, You may praftlce the above by the ta- 
 bles, at your leifure, therefore {hall omit this ex- 
 ample for that purpofe, as I pfefume the fore- 
 going examples will be found fufficient to ex- 
 plain the ufe thereof. 
 
 Of Painters Work. 
 EXAMPLE. 
 
 I F a room be painted, whofe height (being 
 girt over the mouldings) is i6 fee: 6 inches, 
 and compafs of the room 47 feet 6 inches, how 
 many yards are in that room ? 
 
 By the Tables; 
 
 Seek your table anfwerlng 47 feet 6 inches 
 (but the 6 inches not being in the table, proceed 
 thus with 47 feet only); having found your 
 height, 16 feet 6 inches, (in the breadth column 
 of the faid table) you will find as follows, viz. 
 for t6 feet, 752 feet; and for 6 inches,' 23 feet 
 6 inches, obierving now the general rule; for 6 
 inches belonging the 47 feet, to take half of the 
 height, which vvill be 8 feet 3 inches ; thefe be- 
 ing"^all added together, will produce the true 
 content in feet, . Thus, 
 
CoMPLEAT Assistant, 
 
 thus, f. i. 
 
 for 1 6 feet you have - - - - 752 o 
 
 for 6 inches you have , - - 23 6. 
 
 for 6 inches, part of the coinpafs, 8 3 
 
 which added, make feet - 79)783 9(87 yards 9 inches 
 
 which divided by - - - J 72 
 
 is 87 yards 9 inches ■ ■ — 
 
 63 
 
 63 
 
 the content in yards as required. 
 
 See the proof by Multiplication, 
 
 f. i. p. 
 
 Compafs of the room 47 6 
 
 Height of ditto - - 166 
 
 23 9 o by 6 inches 
 
 29® o by 16 feet 
 
 to find the fquare yards 9)783 9 o (87 yards 9 inches 
 
 72 7 ^: 
 
 . — tacit 
 
 •63 
 
 63 
 
 The height of a painted room Is j8 feet 6 
 inches, and compafs 50 feet, how many yards 
 of painting is there contained ? 
 
 ^ f. i. 
 
 f. i. p. 
 
 Length - - ‘ ® 
 
 Ditto - - - 50 0 
 
 Breadth divided 9 
 
 Remaining height 9 6 ' 
 
 Feet - - 450 0 
 
 25 0 0 
 
 added - - 473 0 
 
 450 0 
 
 content is - )923 0 
 
 Feet 475 0 0 ‘ 
 
 divided by 9 is yds. 103 7 
 
 feet 
 
 facit 
 
 
 Which you may prove as ufual by the tables. 
 
 N 
 
 A 
 
90 The Gentleman and Tradesman’s 
 
 A Painter hath painted a large hall, the height 
 whereof is 23 feet, and is 120 feet about, how 
 many fquare yards of painting is therein con^ 
 tained ? 
 
 Length (or round) about the hall is 
 feet 
 
 in compafs. 120 
 
 in height 23 
 
 360 
 
 240 
 
 9)2760(306 yds. 6 feetj as requireda 
 
 27 • • 
 
 • • 60 
 
 54 
 
 •6 
 
 To perform the fame by the table, proceed thus;* 
 
 \ 
 
 The compafs of the hall exceeding the tables, 
 the beft method will be,, to work by table 40 feet 
 in length, which, being tripled on 3 times, added, 
 will make juft 120, the required number; there- 
 fore, in the faid table, oppofite the height 20 
 feet, you will find 8co; and for 3 feet, 120 feer, 
 which make 920 feet, the triple of which is 
 2760 feet as above. 
 
 Of 
 
CoMPLEAT Assistant', Gfr. 
 
 Of Glaz^iers Work. 
 
 EXAMPLE I. 
 
 Suppofe a window be 6 feet 4 Inches high, 
 and 3 feet 6 inches broad, how many fq^uare feet 
 of glazing are therein ? 
 
 f. i. p. 
 
 Height 6 4 
 
 Breadth 3 6 
 
 3 2 
 
 0 .produdl by 6 inches 
 
 19 0 
 
 ditto by 3 feet 
 
 22 2 
 
 0 content required. 
 
 EXAMPLE IL 
 
 A Glazier hath glazed a window, containing 
 8 panes of glafs, the depth of each pane being 
 2 feet 5 inches, and the length of the 8 panes 
 together are 13 feet, how many feet of glazing 
 are contain’d in that window ? 
 
 f. i. p. 
 
 Length 13 o 
 Breadth 2 6 
 
 V 5 5 ^ produft by 5 Inches 
 
 26 o ditto by 2 feet 
 
 •content feet 31 5 o anfwer. 
 
 Colledl the tables according to the above di- 
 menfions, and you will find the content as above. 
 
 N 2 EXAM- 
 
9* ‘The Gentleman and Tradesman’s 
 
 EXAMPLE III. 
 
 There are 8 panes of glafs, each 4 feet 7 inches 
 and 9 parts long, and 1 foot 6 inches 4 parts 
 broad, how many feet of glafs are contained in 
 the faid 8 panes ? 
 
 f. i. p. 
 
 Length 4 7 9 
 
 Breadth 164 
 
 '4 7 9 produd by i f. 
 
 ^ 3 6 ditto by 6 i. 
 
 01670 ditto by 4 parts 
 
 Feet 71210 content 1 pane 
 
 8 numb, of panes 
 
 content feet £^94 8~^ of the whole p; 
 
 Or thus, by the Tables : 
 
 After you have found the content of i pane, 
 U^hich as above is 7 feet i inch, (the parts not 
 being material) find the table of 8 feet long (the 
 number of all the panes) ; and oppofite the other 
 number, 7 feet i inch, you will find thus ; for 
 7 feet, 56 feet ; and for i inch, 8 inches (being 
 tUe half of 2 inches) ; which added, make 56 
 feet 8 inches, only differing (on account of the 
 parts being omitted) i inch from the above me- 
 thod. 
 
 If 
 
Compleat Assistant, &c. 93 
 
 If a pane of glafs be 4 feet 9 inches long, and 
 3 feet 2 inches broad, how many feet are con- 
 tain'd therein ? 
 
 By Multiplication. 
 
 f. i. p. 
 
 Length 49-" 
 
 Breadth 3 2 
 
 096 produd by 2 inches 
 14 3 ditto by 3 feet 
 
 content feet 15 o 6 as required. 
 
 By the table of 4 feet 9 inches in length, you 
 will find as follows, viz. 
 
 f. i. p. 
 
 For 3 feet broad - 14 3 
 
 for 2 inches ditto — 096 
 
 which together is, feet ^5 ' o 6 as above 
 
 Note, To thofe who are not expert in cafting 
 up, or valuing any number of feet, yards, fquares, 
 &c* (at fuch a given price) (hall refer them to 
 the valuing table hereafter contained, being ready 
 calculated for their ufc, to any number or price. 
 
 EXAMPLE. 
 
 Suppofe a window to contain 8 panes of glafs, 
 the depth of each pane to meafure lo inches and 
 6 parts, and the length of all the pares added 
 together, 8 feet 10 inches, how many feet of 
 glazing is in that window ? 
 
 Note, 
 
94 Gentleman and Teadesman’s 
 
 Note, As the extent of thefe tables only reach 
 to 5 feet fquare, the length here required cannot 
 be found, therefore you muft take half thereof, 
 which is 4 feet 5 inches j which being found at 
 the head of the table, look down the fame co- 
 lumn, till you come oppofite the given depth of 
 the pane, viz. 10 inches 6 parts, and you will 
 find 3 feet 10 inches and 4 parts, which is half 
 the content required; therefore mull be doubled, 
 and it will make 7 feet, 8 inches, 8 parts, the 
 content of that window. 
 
 The proof 
 
 f. i. p. f. t. 
 
 8 10 o 
 
 o 10 6 
 
 o 4 c o o 
 
 7440 
 
 Feet 78900 content required, 
 f. i. p. f. r. 
 
 EXAMPLE 11. 
 
 Suppofe a window contain 12 panes, which 
 added together, make 15 feet 9 inches in length, 
 the depth of each pane 2 feet, 10 inches, and 6 
 parts, how many fcet.of glazing are therein con- 
 tained ? 
 
 In the preceding tables, firll look out for the 
 length thereof at the head, viz. 1 5 feet 9 inches j 
 then looking down the fame column, till you 
 come oppofite to the depth, 2 feet, you will find 
 
 31 feet 
 
 Length 
 
 Depth 
 
Compleat Assistant, 
 
 feet 6 inches^ ^.nd for lo inches, feet i 
 inch 6 parts ; which being added, make 44 feet 
 7 inches 6 parts; as to the 6 parts, (which is 
 yet wanting in the depth) you may take i-4th 
 part from the content of 2 inches, (the firft 
 breadth in the table) which here is 2 feet 7 inches 
 6 parts; the 4th part of which will be 7 inches 
 10 parts more ; which being added to the above, 
 make 45 feet 3 inches 4 parts, the content re- 
 quired, thus, 
 
 i. p. 
 
 Content for 2 feet depth 31 60 
 
 Ditto for o 10 inches ditto 13 i 6 
 Ditto for 006 parts ditto 0710 
 
 Whole depth feet 2 to 6 45 5 4 cont req. 
 
 By a due obfervation of thefe examples, it will 
 appear very eafy to fquare any work of the like 
 nature j notwithftanding, to render the lame 
 more intelligible, I have found out a method 
 which will greatly facilitate the nature of fquaring 
 all fuch meafurements, as confift of any number 
 of parts, either in length or breadth, being all 
 contain’d in the following table, and explain’d 
 to the meaneft capacity, by fuch neceffary ex- 
 amples, as will fufficiently qualify the learner to 
 perforrn the fame to the neareft exadlnefs poffi-. 
 ble, being a work which far exceedeth any thing 
 of the like nature; for by this table, all fmall 
 dimenfions contained within an inch meafure 
 either in length or breadth, may be found, by 
 infpeftion, from i inch, to the extent of co 
 feet fquare. 
 
 The 
 
96 The Gentleman ani Tradesman's 
 The TAB L E. 
 
 The Number of Parts in an Inch broad. 
 
 23456 
 
 length 
 
 f. i. 
 
 Content 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 Content 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 0 
 
 1 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 1 
 
 0 
 
 3 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 1 
 
 0 
 
 4 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 2 
 
 0 
 
 5 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 2 
 
 0 
 
 6 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 3 
 
 0 
 
 7 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 3 
 
 0 
 
 8 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 d 
 
 0 
 
 0 
 
 4 
 
 0 
 
 9 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 4 
 
 0 
 
 10 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 5 
 
 0 
 
 1 1 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 5 
 
 1 
 
 G 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 6 
 
 2 
 
 0 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 1 
 
 0 
 
 3 
 
 0 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 9 
 
 0 
 
 1 
 
 0 
 
 0 
 
 I 
 
 3 
 
 0 
 
 1 
 
 6 
 
 4 
 
 0 
 
 0 
 
 0 
 
 8 
 
 0 
 
 1 
 
 0 
 
 0 
 
 I 
 
 4 
 
 0 
 
 I 
 
 8 
 
 0 
 
 2 
 
 0 
 
 5 
 
 0 
 
 0 
 
 0 
 
 10 
 
 0 
 
 I 
 
 :> 
 
 0 
 
 I 
 
 8 
 
 0 
 
 2 
 
 I 
 
 0 
 
 2 
 
 6 
 
 6 
 
 0 
 
 0 
 
 I 
 
 0 
 
 0 
 
 I 
 
 6 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 6 
 
 0 
 
 3 
 
 0 
 
 7 
 
 0 
 
 0 
 
 I 
 
 2 
 
 0 
 
 I 
 
 9 
 
 0 
 
 2 
 
 4 
 
 0 
 
 2 
 
 1 1 
 
 0 
 
 3 
 
 6 
 
 8 
 
 0 
 
 0 
 
 I 
 
 4 
 
 c 
 
 2 
 
 0 
 
 0 
 
 2 
 
 8 
 
 0 
 
 3 
 
 4 
 
 0 
 
 4 
 
 0 
 
 9 
 
 0 
 
 0 
 
 I 
 
 6 
 
 0 
 
 2 
 
 3 
 
 0 
 
 3 
 
 0 
 
 0 
 
 3 
 
 9 
 
 0 
 
 4 
 
 6 
 
 JO 
 
 0 
 
 0 
 
 I 
 
 8 
 
 0 
 
 2 
 
 6 
 
 0 
 
 3 
 
 4 
 
 0 
 
 4 
 
 2 
 
 0 
 
 5 
 
 0 
 
 1 1 
 
 0 
 
 0 
 
 1 
 
 10 
 
 0 
 
 2 
 
 9 
 
 0 
 
 3 . 
 
 8 
 
 0 
 
 4 
 
 7 
 
 0 
 
 5 
 
 6 
 
 12 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 3 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 0 
 
 
 0 
 
 0 
 
 2 
 
 2 
 
 0 
 
 3 
 
 3 
 
 0 
 
 4 
 
 4 
 
 0 
 
 5 
 
 5 
 
 0 
 
 6 
 
 6 
 
 H 
 
 C 
 
 0 
 
 2 
 
 4 
 
 0 
 
 3 
 
 6 
 
 0 
 
 4 
 
 8 
 
 0 
 
 5 
 
 10 
 
 0 
 
 7 
 
 0 
 
 15 
 
 0 
 
 0 
 
 2 
 
 6 
 
 0 
 
 3 
 
 9 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 3 
 
 ! 0 
 
 1 
 
 7 
 
 6 
 
 16 
 
 0 
 
 0 
 
 2 
 
 8 
 
 0 
 
 4 
 
 0 
 
 0 
 
 ? 
 
 4 
 
 0 
 
 6 
 
 8 
 
 0 
 
 8 
 
 0 
 
 X 7 
 
 0 
 
 0 
 
 2 
 
 10 
 
 0 
 
 4 
 
 3 
 
 0 
 
 5 
 
 8 
 
 0 
 
 7 
 
 I 
 
 0 
 
 8 
 
 6 
 
 18 
 
 0 
 
 0 
 
 3 
 
 0 
 
 0 
 
 4 
 
 6 
 
 0 
 
 6 
 
 0 
 
 0 
 
 7 
 
 6 
 
 0 
 
 9 
 
 0 
 
 19 
 
 0 
 
 0 
 
 3 
 
 2 
 
 0 
 
 4 
 
 9 
 
 0 
 
 6 
 
 4 
 
 0 
 
 7 
 
 1 1 
 
 0 
 
 9 
 
 6 
 
 20 
 
 0 
 
 0 
 
 3 
 
 4 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 8 
 
 0 
 
 8 
 
 4 
 
 0 
 
 10 
 
 0 
 
 21 
 
 0 
 
 0 
 
 3 
 
 6 
 
 0 
 
 5 
 
 3 
 
 0 
 
 7 
 
 0 
 
 0 
 
 8 
 
 9 
 
 0 
 
 10 
 
 6 
 
 22 
 
 0 
 
 0 
 
 3 
 
 8 
 
 0 
 
 5 
 
 6 
 
 0 
 
 7 
 
 4 
 
 0 
 
 9 
 
 2 
 
 0 
 
 1 1 
 
 0 
 
 23 
 
 0 
 
 0 
 
 3 
 
 10 
 
 0 
 
 5 
 
 9 
 
 0 
 
 7 
 
 8 
 
 0 
 
 9 
 
 7 
 
 0 
 
 1 1 
 
 6 
 
 24 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 8 
 
 0 
 
 0 
 
 10 
 
 0 
 
 I 
 
 0 
 
 0 
 
 25 
 
 0 
 
 0 
 
 4 
 
 2 
 
 0 
 
 6 
 
 3 
 
 0 
 
 8 
 
 4 
 
 0 
 
 10 
 
 5 
 
 I 
 
 0 
 
 6 
 
 The 
 
CoMPLEAT Assistant, & c . 97 
 
 The foregoing Table continued. 
 
 The Number of Parts in an Inch. 
 
 2345 ^ 
 
 length 
 
 f. i. 
 
 Con tent 
 f. i. p. 
 
 Content 
 f. i, p. 
 
 Content 
 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 26 
 
 0 
 
 0 
 
 4 4 
 
 0 
 
 6 
 
 6 
 
 0 
 
 8 
 
 8 
 
 0 
 
 10 10 
 
 1 
 
 3 
 
 0 
 
 27 
 
 0 
 
 0 
 
 4 6 
 
 0 
 
 6 
 
 9 
 
 0 
 
 9 
 
 0 
 
 0 
 
 3 
 
 I 
 
 3 
 
 6 
 
 28 
 
 0 
 
 0 
 
 4 8 
 
 0 
 
 7 
 
 0 
 
 0 
 
 9 
 
 4 
 
 0 
 
 11 8 
 
 I 
 
 4 
 
 0 
 
 29 
 
 0 
 
 0 
 
 4 10 
 
 0 
 
 7 
 
 3 
 
 0 
 
 9 
 
 8 
 
 I 
 
 0 1 
 
 I 
 
 4 
 
 6 
 
 30 
 
 0 
 
 0 
 
 5 0 
 
 0 
 
 7 
 
 6 
 
 0 
 
 10 
 
 0 
 
 1 I 
 
 0 6 
 
 I 
 
 5 
 
 0 
 
 40 
 
 0 
 
 0 
 
 6 8 
 
 0 
 
 10 
 
 0 
 
 1 * 
 
 3 
 
 4 
 
 I 
 
 6 08 
 
 1 
 
 8 
 
 0 
 
 50 
 
 c 
 
 0 
 
 8 4 
 
 I 
 
 2 
 
 6 
 
 h 
 
 6, 
 
 8 
 
 li 
 
 8 10 
 
 2 
 
 I 
 
 0 
 
 , The TABLE. 
 
 The Number of Parts in an Inch. 
 
 7 8 910 II 
 
 length 
 
 Content 
 
 Content 
 
 Content 
 
 Content 
 
 Content 
 
 f. 
 
 i. 
 
 f. 
 
 i . 
 
 P' 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 i- 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 
 I 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 
 2 
 
 0 
 
 I 
 
 I 
 
 0 
 
 0 
 
 1 
 
 0 
 
 0 
 
 I 
 
 0 
 
 0 
 
 I 
 
 0 
 
 0 
 
 I 
 
 
 3 
 
 0 
 
 0 
 
 I 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 
 4 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 3 
 
 0 
 
 0 
 
 3 
 
 0 
 
 0 
 
 3 
 
 
 5 
 
 0 
 
 0 
 
 2 
 
 0 
 
 0 
 
 3 . 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 4 - 
 
 0 
 
 0 ‘ 
 
 4 - 
 
 
 6 
 
 0 
 
 3 
 
 3 ; 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 5 
 
 
 7 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 
 8 
 
 0 
 
 0 
 
 4 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 7 
 
 
 9 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 7 
 
 0 
 
 0 
 
 7 
 
 0 
 
 0 
 
 8 
 
 
 10 
 
 0 
 
 0 
 
 5 
 
 0 
 
 0 
 
 7 
 
 0 
 
 0 
 
 7 
 
 0 
 
 0 
 
 8 
 
 0 
 
 0 
 
 9 - 
 
 
 I f 
 
 0 
 
 0 
 
 6 
 
 0 
 
 0 
 
 7 
 
 0 
 
 0 
 
 8 
 
 0 
 
 0 
 
 9 
 
 0 
 
 0 
 
 10 
 
 1 
 
 0 
 
 0 
 
 0 
 
 7 
 
 ' 0 
 
 0 
 
 S 
 
 0 
 
 0 
 
 9 
 
 0 
 
 0 
 
 10 
 
 0 
 
 0 
 
 1 1 
 
 2 
 
 0 
 
 0 
 
 1 
 
 2 
 
 0 
 
 I 
 
 4 
 
 0 
 
 1 
 
 6 ' 
 
 jo 
 
 1 
 
 8 
 
 
 1 
 
 10 
 
 3 
 
 0 
 
 0 
 
 1 
 
 9 , 
 
 0 
 
 2 
 
 0 
 
 0 
 
 2 
 
 3 
 
 1 ° 
 
 2 
 
 6 
 
 1 ° 
 
 2 
 
 9 
 
 Q TKc 
 
9^ The Gentleman and Tradesman’s 
 T he foregoing Table continued. 
 
 The Number of Parts in an Inch, 
 
 
 
 7 
 
 
 8 
 
 
 9 
 
 
 
 10 
 
 
 1 1 
 
 
 ieni^th 
 
 Content 
 
 Content 
 
 Content 
 
 Content 
 
 1 Content 
 
 f. 
 
 i. 
 
 f. i. 
 
 P* 
 
 f. i. 
 
 P- 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 
 
 P- 
 
 4 
 
 0 
 
 0 2 
 
 4 
 
 0 2 
 
 8 
 
 0 3 
 
 0 
 
 0 
 
 3 
 
 4 
 
 
 3 
 
 8 
 
 5 
 
 0 
 
 0 2 
 
 1 1 
 
 0 3 
 
 4 
 
 0 3 
 
 >9 
 
 0 
 
 4 
 
 2 
 
 1 ° 
 
 4 
 
 7 
 
 6 
 
 0 
 
 0 3 
 
 6 
 
 0 4 
 
 0 
 
 0 4 
 
 6 
 
 0 
 
 5 
 
 0 
 
 1 0 
 
 1 
 
 5 
 
 6 
 
 / 
 
 0 
 
 0 4 
 
 I 
 
 0 4 
 
 8 
 
 ° 5 
 
 3 
 
 0 
 
 5 
 
 10 
 
 ° 
 
 6 
 
 5 
 
 8 
 
 0 
 
 0 4 
 
 8 
 
 "" 5 
 
 4 
 
 0 6 
 
 0 
 
 0 
 
 6 
 
 8 
 
 
 7 
 
 4 
 
 9 
 
 0 
 
 0 5 
 
 3 
 
 0 6 
 
 0 
 
 0 6 
 
 9 
 
 0 
 
 7 
 
 6 
 
 1° 
 
 8 
 
 3 
 
 lO 
 
 0 
 
 0 5 
 
 10 
 
 0 6 
 
 8 
 
 0 7 
 
 6 
 
 0 
 
 8 
 
 4 
 
 1 ° 
 
 9 
 
 2 
 
 1 1 
 
 0 
 
 0 6 
 
 5 
 
 0 7 
 
 4 
 
 0 8 
 
 3 
 
 0 
 
 9 
 
 2 
 
 
 10 
 
 I 
 
 I 2 
 
 0 
 
 0 7 
 
 0 
 
 0 8 
 
 0 
 
 0 9 
 
 0 
 
 0 
 
 10 
 
 0 
 
 0 
 
 1 1 
 
 0 
 
 
 0 
 
 0 7 
 
 7 
 
 0 8 
 
 ■8 
 
 0 9 
 
 9 
 
 0 
 
 10 
 
 10 
 
 ° 
 
 1 1 
 
 II 
 
 H 
 
 0 
 
 0 8 
 
 2 
 
 0 9 
 
 4 
 
 0 ip 
 
 6 
 
 0 
 
 1 1 
 
 8 
 
 1 1 
 
 0 
 
 10. 
 
 15 
 
 0 
 
 0 8 
 
 9 
 
 0 10 
 
 0 
 
 0 II 
 
 3 
 
 I 
 
 0 
 
 6 
 
 !■ 
 
 I 
 
 9 
 
 16 
 
 0 
 
 9 9 
 
 4 
 
 0 10 
 
 8 
 
 I 0 
 
 0 
 
 I 
 
 1 
 
 4 j 
 
 • 
 
 2 
 
 8 
 
 ^7 
 
 0 
 
 0 9 
 
 1 1 
 
 0 II 
 
 4 
 
 I 0 
 
 9 
 
 I 
 
 2 
 
 
 « 
 
 3 
 
 7 
 
 18 
 
 c 
 
 0 10 
 
 6 
 
 I 0 
 
 0 
 
 I I 
 
 6 
 
 I 
 
 3 
 
 0 1 
 
 1 
 
 1 I 
 
 4 
 
 6 
 
 19 
 
 0 
 
 0 1 1 
 
 I 
 
 I 0 
 
 8 
 
 i 2 
 
 3 
 
 
 3 
 
 10 1 
 
 1 I 
 
 1 
 
 5 
 
 20 
 
 0 
 
 0 1 1 
 
 8 
 
 I I 
 
 4 
 
 \ 3 
 
 0 1 
 9 
 
 1 I 
 
 4 
 
 
 f I 
 
 6 
 
 4 ' 
 
 2 1 
 
 Q 
 
 I 0 
 
 3 
 
 1 2 
 
 0 
 
 I 3 
 
 I 
 
 5 
 
 6 
 
 I 
 
 7 
 
 3 
 
 2 2 
 
 0 
 
 I 0 
 
 10 
 
 I 2 
 
 8 
 
 I 4 
 
 6 
 
 I 
 
 6 
 
 4 
 
 i 
 
 8 
 
 2 
 
 23 
 
 0 
 
 I I 
 
 5 
 
 ^ 3 
 
 4 
 
 * 5 
 
 3 
 
 I 
 
 7 
 
 2 
 
 I 
 
 9 
 
 1 
 
 2^ 
 
 0 
 
 I 2 
 
 0 
 
 I 4 
 
 0 
 
 I 6 
 
 0 
 
 I 
 
 8 
 
 0 
 
 I 
 
 10 
 
 0 
 
 25; 
 
 0 
 
 I 2 
 
 7 
 
 * 4 
 
 8 
 
 I 6 
 
 9 
 
 I 
 
 8 
 
 10 
 
 I 
 
 10 
 
 1 1 
 
 26 
 
 0 
 
 I 3 
 
 2 
 
 I 5 
 
 4 
 
 I 7 
 
 6 
 
 I 
 
 9 
 
 8 
 
 I 
 
 II 
 
 10 
 
 27 
 
 0 
 
 I 3 
 
 9 
 
 I 6 
 
 0 
 
 I 8 
 
 3 
 
 1 
 
 10 
 
 6 
 
 2 
 
 0 
 
 9 
 
 28 
 
 0 
 
 I 4 
 
 4 
 
 I 6 
 
 8 , 
 
 i 9 , 
 
 0 
 
 I 
 
 1 1 
 
 4 l 
 
 2 
 
 I 
 
 8 
 
 29 
 
 0 j 
 
 I 4 
 
 1 1 
 
 * 7 
 
 4 
 
 1 9 
 
 9 
 
 2 
 
 0 
 
 2 
 
 2 
 
 2 
 
 7 
 
 
 0 
 
 I 5 
 
 6 
 
 1 8 
 
 0 
 
 i 10 
 
 
 2 
 
 I 
 
 
 2 
 
 3 - 
 
 6, 
 
 40 
 
 0 
 
 I 1 1 
 
 4 
 
 2 2 
 
 8 
 
 2 6 
 
 0 1 
 
 2 
 
 9 
 
 4 
 
 3 
 
 0 
 
 8 
 
 59 
 
 0 
 
 ? 5 
 
 2 
 
 2 9 , 
 
 4 1 
 
 3 * 
 
 3 ■ 
 
 5 
 
 
 3 
 
 9 10 
 
 Expla^ 
 
CoMPLEAT Assistant, 99 
 
 Explanation of the laft Table. 
 
 This Table confifteth of 12 columns, num- 
 bered on the head with 2, 3, 4, 5, &c. fignifying 
 the parts of an inch, (excepting the fiiTt column 
 on the left hand, which contain the number of 
 the lengths or breadths of any mealurement) as 
 hereafter will be made more intelligible, by the 
 following examples. 
 
 EXAMPLE I. 
 
 Let it be required to multiply 3 feet ‘9 Inches 
 in length, by 9 parts of an inch in breadth. 
 
 Look for that column which hath on the 
 head thereof, 9 parts; then guiding your finger 
 down that column, till you come oppofite 9. 
 inches (belonging to your length) in the left 
 hand column, and you will find 7 parts of an 
 inch; then going down the fame column, till 
 you come oppofite 3 feet, (the remainder of 
 your length) and you will there find 2 inches 
 and 3 parts ; which being added to the former 
 7 parts, make 2 inches and 10 parts, the con-^ 
 lent thereof. 
 
 The Proof. 
 
 f. i. p. f. 
 
 Length 3 9 
 
 Breadth 009 
 
 feet o 2 19 9 content. 
 
 9 nr’ 
 
 Note, The 3 feconds (which here exceedeth 
 
 that in the tables) is of fo trifling a value, that I 
 
 O 2 foall 
 
loo ^he Gentleman and Tradesman’s 
 
 {hall not take notice thereof ; having calculated 
 the faid table no further than parts of an inchj 
 which is as near as any work require. 
 
 EXAMPLE II. 
 
 Suppole the length of any meafurement to be 
 12 feet 7 inches, and the remainder of any 
 breadth (thereunto belonging) be 1 1 parts of an 
 inch, what is the content in feet, inches, and 
 parts ? 
 
 According to the former diredlion, feek firft, 
 the column which hath on the head thereof, 1 1 
 parts ; then look down the lame, until you come 
 oppofue 7 inches, (belonging the length) and 
 you will find 6 parts of an inch ; and oppofite 
 12. feet, (the completiient of the length^ you will 
 find 1 1 inches ; which together, make 1 1 inches 
 and 6 parts, the content thereof. 
 
 The proof. 
 
 f. i. p. f t. 
 
 Length 12 70 
 
 Breadth o on 
 
 feet oil 6 5 o 
 
 Thefe examples will, I prefume, be fufliclent 
 to (hew the great utility of the faid table ; yet it 
 may not be unneceflary to acquaint the reader. 
 That whereas, theenfuing tables do only mea- 
 fure by the length and breadth given in feet and 
 inches, which in mofl: cafes is fuflicient; yet this 
 
 table 
 
CoMi>LEAT Assistant, & c . lor 
 
 ^able will find the content of the remaining parts 
 of an inch, when it fo falls out, to any length or 
 breadch required. 
 
 How to find the value of all fuch parts of an 
 inch, as may pertain to either length or breadth, 
 in order to fupply the following tables, whenfo- 
 ever found deficient therein. 
 
 - E X A M P'‘ L E. . • 
 
 Suppofe the length of any rneafurement to be 
 10 feet 9 inches and 6 parts; and the breadth, 
 depth, or height, be 7 feet 6 inches and 9 parts, 
 how many fquare feet are contained therein ? 
 
 By the following tables, as before diredled, 
 firft, find out that agreeable to your length, viz. 
 10 feet ^ inches; which being done, feek your 
 breadth in the left haixl column, viz. firft, 7 
 feet; oppofite which, you wiii find 75 feet 3 
 inches; and in the ftime column, oppofite 6 
 inches, (the remaining part of the breadth) you 
 Will find 3 feet 4 inches and 6 parts; which 
 added, make 80 feet 7 inches and 6 parts. Now 
 whereas thefe tables meaftire no nearer than 
 inches, the remaining parts, belonging the length 
 and breadth, is yet wanting; in order to obtain 
 which, obfcrve the following rule ; In the fore- 
 going table of pans, (defign’d and adapted for 
 this purpofe) feek for 9 parts, pertaining your 
 breadth, on the head thereof; and in the fame 
 column, under that pointing downwards, till 
 you come oppofite 10 feet, (the length) in the 
 left hand column, you wili find 7 inches 6 parrs; 
 
 and 
 
102 TChe Gentleman and Tradesman’s 
 
 and for the remainder of the length, viz. (9 
 inches) you will find 7 parts; which added, is 
 8 inches i part ; then find 6 parts belonging the 
 Iciigth, on the head of the table, arid feek the 
 breadth, 7 feet, on the left hand column; op- 
 pofite to which, you will find 3 inches 6 parts j 
 which, added to the above 8 inches i part, 
 make 1 1 inches 7 parts— the meafure of all the 
 parts ; this being added to the firft meafuremenr, 
 viz. 80 feet, 7 inches, 6 parts, make 81 feet, 
 7 inches, 4 parts, the whole content of the faid 
 meafurement* 
 
 The proof. 
 
 f. i. p f. t. 
 
 Length 10 9 6 
 
 Breadth 769 
 
 0811 
 
 6 
 
 5490 
 
 75 6 6 
 
 
 feet 81 7 41 
 
 6 content i*eq. 
 
 NotCy The fecond and third 
 
 parts are incon 
 
 fiderable. 
 
 Of MasoKs Work. 
 
 T\/rA'SONS meafure all their work by the 
 loot, either fuperficial or folid, and there-* 
 fore I need give no example in this kind of 
 work; for the rules before delivered, (together 
 with the table of folid meafure therein con- 
 tained) 
 
CoMPLEAT Assistant, & c . 103 
 
 tained) are fufficicnt to perform any thing that 
 jn Mafonry is required ; however, lhall give one 
 cxarnple for praiSice. 
 
 EXAMPLE. 
 
 If a wall be 47 feet 6 inches long, 16 feet 3 
 inches high, and 2 feet 3 inches thick, how 
 many folid feet are contained therein ? 
 
 Length - - 
 Height - - 
 
 Superficial content 
 Multiplied by the thicknefs 
 
 Product - - - ^ - 
 Ditto ------ 
 
 Solid content • . - - 
 
 f. 
 
 i. 
 
 p. f. 
 
 47 
 
 6 
 
 
 16 
 
 3 
 
 
 290 
 
 0 
 
 
 47 
 
 10 
 
 6 
 
 771 
 
 10 
 
 ~ 
 
 2 
 
 3 
 
 0 
 
 192 
 
 1 1 
 
 7 6 
 
 1543 
 
 9 
 
 0 
 
 1736 
 
 8 
 
 7 6 
 
 f. 
 
 i. 
 
 p. f. 
 
 l^produdl by 16 feet 
 ditto by 3 inches 
 
 by 3 inches 
 by 2 feet 
 
 facit 
 
 Note, When your work requires bringing into 
 folid yards, divide the number of feet by 27, 
 the feet in a folid yard ; obtain’d thus, 
 
 3 times 3 is 9, and 3 times 9 is 27} 
 
 3 
 
 _3 
 
 9 
 
 3 
 
 27 feet. 
 
 Of 
 
204 T^be Gentleman and Tradesman’s: 
 
 Of Paviours Work. 
 
 T F a pavement be 40 feet 6 inches long, and 
 ^ 16 feet 6 inches broad, I demand how many 
 yards are contained therein ? 
 
 thus, by the breadth divided, 
 
 •f. i. f. i. p. 
 
 Length - - 40 6 Ditto - 40 6 
 
 Breadth in part 8 Remainder ditto 8 6 
 
 Produft by 8 f. 324 o 20 3 o 
 
 324 ^_ 
 
 produdl by 8 feet 6 inches 344 3 o 
 
 * prod udl by 8 feet added ------ 324 o o 
 
 divided by - - - 9)668 3 o 
 
 74 yards, 2 feet, 3 inches 74 2^3 ♦ 
 
 facit. 
 
 EXAMPLE II. 
 
 There is a room, whofe length is 21 feet 6 
 inches, and the breadth 17 feet 6 inches, which 
 is to be paved with ftone; each ftone 18 inches, 
 fquare, I demand how many fuch ftones will 
 pave it? 
 
 f. i. L i- p. 
 
 Length - - - 21 6 Ditto - - - - 21 6 o 
 
 Part of the breadth 8 o Complement ditto 9 6 
 
 Product by 8 fset 172 o 10 9 o 
 
 ; 
 
 Product by 9 feet 6 inches 204 3 o 
 
 added 
 
Comply AT Assistant^ & c . 
 
 added thuSj . 
 
 Square of each fton^ 
 f. i. 
 
 1 6 
 
 I 
 
 6 
 
 f. 
 
 i. 
 
 P- 
 
 0 
 
 9 
 
 204 
 
 3 
 
 0 
 
 1 
 
 6 
 
 172 
 
 0 
 
 0 
 
 2 
 
 3 area 
 
 376 
 
 3 
 
 0 content in fq. f. 
 
 12 
 
 
 12 
 
 
 Inciies 27 divided )45 15(167 Hones as required* 
 27 •• 
 
 1 8 1 facit* 
 162 
 
 ' 195 
 
 189 
 
 *•6 
 
 mm 
 
 105 
 
 p 
 
 4 
 
j‘d6 The Gentleman and Tradesman’s 
 A TABLE, 
 
 Shewing the value of any number of feet, yardsj 
 yards fquare, fquare of lo feetj merchandizing 
 ware, &c. at any given price whatfoeverj 
 from I farthing to lo pounds, the integer, to 
 any quantity, from i to 300, by infpedlionj 
 (which, with the help of Addition only) to 
 any greater price or quantity required. . 
 
 The number of feet, yards, fquares of 10 feet 
 or yards, ells, pounds, cwts. &c. 
 
 ”1 
 
 2 
 
 
 
 3 
 
 
 
 
 
 4 
 
 the price being 
 
 £■ d . y. 
 
 £■ >• 
 
 d . 
 
 
 
 
 ?• 
 
 c 
 
 /. 
 
 
 0 0 0 j 
 
 0 0 
 
 0 
 
 
 0 0 
 
 0 
 
 3 
 
 0 
 
 0 
 
 I 
 
 1 
 
 a 
 
 0 
 
 I 
 
 
 d 
 
 I 
 
 1 
 
 a 
 
 
 0 
 
 2 
 
 3 
 
 4 
 
 0 
 
 1 
 
 T 
 
 d 
 
 2 
 
 .4 
 
 
 0 
 
 3 
 
 1 
 
 0 
 
 2 
 
 
 0 
 
 3 
 
 
 
 0 
 
 4 
 
 2 
 
 0 
 
 4 
 
 
 0 
 
 6 
 
 
 
 0 
 
 8 
 
 3 
 
 0 
 
 6 
 
 
 0 
 
 9 
 
 
 
 t 
 
 d 
 
 4 
 
 0 
 
 8 
 
 
 I 
 
 6 
 
 
 
 I 
 
 4 
 
 5 
 
 0 
 
 10 
 
 
 1 
 
 3 
 
 
 
 1 
 
 8 
 
 6 
 
 1 
 
 
 
 I 
 
 6 
 
 
 
 2 
 
 0 
 
 7 
 
 1 
 
 2 
 
 
 1 
 
 .9 
 
 
 
 2 
 
 4 
 
 8 
 
 1 
 
 4 
 
 
 2 
 
 
 
 
 2 
 
 8 
 
 9 
 
 i 
 
 6 
 
 
 2 
 
 3 
 
 
 
 3 
 
 
 10 
 
 1 
 
 8 
 
 
 2 
 
 6 
 
 
 
 3 
 
 4 
 
 il 
 
 1 
 
 10 
 
 
 2 
 
 9 
 
 
 
 3 
 
 8 
 
 2 
 
 2 
 
 
 
 3 
 
 
 
 
 4 
 
 
 2 
 
 4 
 
 
 
 6 
 
 
 
 
 8 
 
 
 3 
 
 6 
 
 
 
 9 
 
 
 
 
 12 
 
 
 4 
 
 8 
 
 
 
 12 
 
 
 
 
 16 
 
 
 5 
 
 10 
 
 
 1 
 
 >5 
 
 
 
 I 
 
 0 
 
 
 6 
 
 12 
 
 
 1 
 
 1 18 
 
 
 
 ' I 
 
 4 
 
 
 7 
 
 H 
 
 
 
 I 1 
 
 
 
 I 
 
 8 
 
 
 * 
 
 16 
 
 
 
 * 4 
 
 
 1 
 
 I 
 
 12 
 
 
 9 
 
 18 
 
 
 
 1 7 
 
 
 i 
 
 I 
 
 16 
 
 
 to I 
 
 I 0 
 
 
 
 I id 
 
 
 1 
 
 2 
 
 0 
 
 
 Table 
 
CoMPLEAT Assistant, &c, lof 
 
 Table continued. 
 
 1 
 
 2 
 
 3 
 
 4 
 
 the price being 
 
 
 1 
 
 
 £■ s . d . q . 
 
 /. f. 
 
 f. d . q . 
 
 X. d , q . 
 
 o 
 
 o 
 
 o 
 
 1 2 
 
 I 13 
 
 2 4 
 
 12 
 
 < 4 
 
 I i6. 
 
 2 8 
 
 >3 
 
 1 6 
 
 I 19 
 
 2 12 
 
 H 
 
 1 8 
 
 2 2 
 
 2 16 
 
 IS 
 
 1 lO 
 
 * 5 
 
 3 0 
 
 i6 
 
 I 12 
 
 2 8 
 
 3 4 
 
 17 
 
 I 14 
 
 2 1 1 
 
 3 8 
 
 i8 • • 
 
 1 i6 
 
 2 >4 
 
 3 12 
 
 >9 
 
 I |8 
 
 2 17 
 
 316 / 
 
 \ 
 
 2 
 
 3 0 
 
 4 Q 
 
 2 
 
 4 
 
 6 0 
 
 8 Q 
 
 3 
 
 6 
 
 9 0 
 
 12 0 
 
 4 
 
 8 
 
 12 0 
 
 16 0 
 
 5 
 
 lO 
 
 15 0 
 
 20 0 
 
 6 
 
 12 
 
 18 0 
 
 24 0 
 
 7 
 
 H 
 
 21 0 
 
 28 0 
 
 8 1 
 
 i6 
 
 24 0 
 
 32 0 
 
 9 i 
 
 i8 
 
 27 0 
 
 36 Q 
 
 lo ! 
 
 20 
 
 30 0 
 
 40 0 
 
 5 
 
 6 
 
 7 
 
 8 
 
 if. /. d . q . 
 
 f- 
 
 J. q . 
 
 £• >■ d . f; 
 
 p o 1 ^ 
 
 O O I i 
 
 0 0 I 1 
 
 0 0 2 
 
 O 2 i 
 
 o 3 
 
 0 3 4 
 
 0 4 
 
 9 3 i 
 
 9 4 i 
 
 0 5 \ 
 
 0 6 
 
 9 5 
 
 o 6 4 
 
 0 7 
 
 0 8 
 
 O 10 
 
 I o 
 
 I 2 
 
 I 4 
 
 \ 3 
 
 I 6 
 
 * 9 
 
 2 0 
 
 I 8 
 
 2 O 
 
 ? 4 
 
 2 8 
 
 2 1 
 
 2 6 
 
 2 11 
 
 3 4 
 
 2 6 
 
 3 9 
 
 3 9 
 
 4 0 
 
 2 11 
 
 3 6 
 
 4 » 
 
 4 8 
 
 3 4 
 
 4 o 
 
 4 8 
 
 5 4 
 
 3 9 
 
 4 6 
 
 5 3 
 
 " 6 0 
 
 4 2 
 
 5 o 
 
 5 ^0 
 
 6 8 
 
 4 7 
 
 5 6 
 
 ^ 5 
 
 7 4 
 
 5 
 
 6 o 
 
 7 9 
 
 8 0 
 
 P a Table 
 
icS Gentleman and Tradesman’s 
 Table continued. 
 
 5^78 
 
 
 
 ■ ■ 
 
 . L. y 
 
 £• d . 
 
 £• 4 
 
 £, s , d . q . 
 
 £,- f- ?•, 
 
 lO 
 
 12 
 
 H 
 
 16 0 
 
 
 18 • 
 
 I 1 
 
 I 4 
 
 1 o 
 
 I 4 
 
 I 8 
 
 . I 12 
 
 I 5 
 
 I 10 
 
 * *5 
 
 2 0 
 
 1 lO 
 
 I 16 
 
 2 2 
 
 2 8 
 
 J >5 
 
 2 2 
 
 ^ 9; 
 
 2 16 
 
 2 O. 
 
 2 8 
 
 2 16 
 
 3 4 
 
 2 5 
 
 2 14 
 
 3 3 
 
 3 12 
 
 2 lO 
 
 3 0 
 
 3 IO 
 
 4 0. 
 
 2 15 
 
 3 6 
 
 3 17 
 
 4 8 
 
 S o- 
 
 3 >2 
 
 4 4 
 
 4 16 
 
 3 5 
 
 3 »8 
 
 4 II 
 
 5 4 
 
 3 ic> 
 
 4 4 
 
 418, . 
 
 5 12 
 
 3 J 5 
 
 4 10 
 
 5 5 
 
 6 0 
 
 4 0 
 
 4 
 
 5 12 
 
 6 . 8. 
 
 4 5 _ 
 
 5 2 
 
 5 19 
 
 6 16 
 
 4 10 
 
 5 8 
 
 6 6 
 
 7 4 
 
 4 15 
 
 5 H 
 
 6 13 
 
 7 12 
 
 5 0 
 
 6 
 
 7 9 
 
 8 a 
 
 30 0 
 
 u 
 
 *4 
 
 16 
 
 15 0 
 
 18 
 
 21 
 
 24 
 
 20 0 
 
 24 
 
 28 
 
 32 
 
 2; 0 
 
 30 
 
 
 40 
 
 30 0 
 
 36 
 
 42 
 
 48 
 
 35 0 
 
 42 
 
 49 
 
 5 <^ 
 
 40 0 
 
 48 
 
 56 
 
 64 
 
 45 0 1 
 
 154 
 
 6j 
 
 72 
 
 50 0 1 
 
 1 60 
 
 70 
 
 80 
 
 9 ■ 
 
 io 
 
 20 
 
 30 
 
 d . q . 
 
 £• j. 4 
 
 jC- -f* d , q . 
 
 J. d , q . 
 
 0 0 2 i 
 
 0024 
 
 1 * 
 
 005 
 
 7 k 
 
 9 4 4 
 
 5 
 
 0 10 
 
 I 3 
 
 0 6 1 
 
 7 f 
 
 I 3 
 
 I 10 1 
 
 0 9' 
 
 IO, ! 
 
 18,.! 
 
 1 2 6. 
 
 
 1 ^ 8 1 
 
 1 3 4 1 
 
 I, s 
 
 S 
 
 Table 
 
CoMPLEAT Assistant, . 109 
 
 Tabic continued. 
 
 9 
 
 10 
 
 20 
 
 30 
 
 £■ 4 - i - 
 
 £• /• 
 
 C - d . 
 
 
 2 3 
 
 2 6 
 
 5 
 
 7 
 
 3 
 
 3 4 
 
 6 8 
 
 10 
 
 3 9 
 
 4 2 
 
 8 4 
 
 12 
 
 4 
 
 5 0 
 
 10 
 
 *5 
 
 5 3 
 
 5 
 
 II 8 
 
 *7 
 
 6 
 
 6 8 
 
 13 4 
 
 1 0 
 
 6 9 
 
 7 6 
 
 IS 
 
 1 2 
 
 7 6 
 
 8 4 
 
 16 8 
 
 * 5 
 
 8 3 
 
 9 2 
 
 18 4 
 
 ^ 7 
 
 9 
 
 10 
 
 1 0 
 
 1 10 
 
 18 
 
 I 0 
 
 2 
 
 3 
 
 1 7 
 
 I 10 
 
 3 
 
 4 10 
 
 
 2 
 
 4 
 
 6 
 
 2 5 
 
 2 10 
 
 5 
 
 7 10 
 
 2 14 
 
 3 
 
 6 
 
 9 
 
 3 3 
 
 3 10 
 
 7 
 
 JO 10 
 
 3 12 
 
 4 
 
 8 
 
 IZ 
 
 4 * 
 
 4 10 
 
 9 
 
 13 IQ 
 
 4 10 
 
 5 
 
 10 
 
 >5 
 
 4 19 
 
 5 10 
 
 1 1 
 
 16 10 
 
 5 8 
 
 6 
 
 12 
 
 18 
 
 ^ *7 
 
 6 10 
 
 '3 
 
 19 10 
 
 6 6 
 
 7 
 
 *4 
 
 21 
 
 6 15 
 
 7 la 
 
 >5 
 
 22 10 
 
 7 4 
 
 8 
 
 16 
 
 24 
 
 7 13 
 
 8 10 
 
 *7 
 
 25 IQ 
 
 8 2 
 
 9 
 
 18 
 
 27 
 
 8 II 
 
 9 10 
 
 ' 9 , 
 
 28 10 
 
 9 0 
 
 10 
 
 20 
 
 30 
 
 18 0 
 
 ; 20 
 
 40 
 
 60 
 
 27 0 
 
 30 
 
 60 
 
 90 
 
 36 0 
 
 40 
 
 80 
 
 I 20 
 
 45 0 
 
 50 
 
 100 
 
 ‘50 
 
 54 0 
 
 60 
 
 1 20 
 
 180 
 
 63 0 
 
 70 
 
 240 
 
 2 10 
 
 72 0 j 
 
 : 80 
 
 160 
 
 ‘ 240 
 
 8l Q 
 
 1 90 j 
 
 180 
 
 270 
 
 90 Q, 1 
 
 1 100 1 
 
 2CO 
 
 300 
 
 Tabli 
 
no Gentleman and Tradesman's 
 
 Table continued. 
 
 40 50 100 200 
 
 £■ 
 
 s. 
 
 
 -c- 
 
 j. 
 
 d. 
 
 0 
 
 0 
 
 lO 
 
 
 I 
 
 0 
 
 
 I 
 
 8 
 
 
 2 
 
 1 
 
 
 2 
 
 6 
 
 
 3 
 
 I 
 
 
 3 
 
 4 
 
 
 4 
 
 2 
 
 
 6 
 
 8 
 
 
 8 
 
 4 
 
 
 10 
 
 
 
 12 
 
 6 
 
 
 *3 
 
 4 
 
 
 16 
 
 8 
 
 
 16 
 
 8 
 
 I 
 
 0 
 
 10 
 
 X 
 
 0 
 
 
 1 
 
 5 
 
 0 
 
 1 
 
 3 
 
 4 
 
 1 
 
 9 
 
 2 
 
 I 
 
 6 
 
 8 
 
 1 
 
 13 
 
 4 
 
 I 
 
 10 
 
 0 
 
 1 
 
 J 7 
 
 6 
 
 1 
 
 13 
 
 4 
 
 2 
 
 1 
 
 8 
 
 1 
 
 16 
 
 8 
 
 2 
 
 5 
 
 10 
 
 2 
 
 0 
 
 p 
 
 2 
 
 1 
 
 
 4 
 
 
 
 5 
 
 
 
 6 
 
 
 
 7 
 
 10 
 
 
 8 
 
 
 
 10 
 
 
 
 50 
 
 
 
 12 
 
 10 
 
 
 12 
 
 
 
 *5 
 
 
 
 54 
 
 
 
 17 
 
 10 
 
 
 16 
 
 
 
 20 
 
 
 
 28 
 
 
 
 22 
 
 10. 
 
 
 20. 
 
 
 
 25 
 
 
 
 22 
 
 
 
 27 
 
 50 
 
 
 24 
 
 
 
 30 
 
 
 
 26 
 
 
 
 32 
 
 10 
 
 
 28 
 
 
 
 35 
 
 
 
 30 
 
 
 
 37 
 
 10 
 
 
 32 
 
 
 
 40 
 
 
 
 34 
 
 
 
 42 
 
 10 
 
 
 36 
 
 
 
 45 
 
 
 
 
 
 
 47 
 
 10 
 
 
 40 
 
 
 
 50 
 
 
 
 So 
 
 
 
 ICO, 
 
 
 
 220 
 
 
 
 150 
 
 
 
 160 
 
 
 
 200 
 
 
 
 200 
 
 
 
 250 
 
 
 
 240 
 
 
 
 300 
 
 
 
 2S0 
 
 
 
 350 
 
 
 
 320 
 
 
 
 400 
 
 
 
 360 
 
 
 
 450 
 
 
 
 400 
 
 
 
 500 
 
 
 
 i:- 
 
 s* 
 
 
 £• 
 
 
 
 
 2 
 
 1 
 
 • 
 
 ^ 4 
 
 2 
 
 
 4 
 
 2 
 
 
 • 8 
 
 4 
 
 
 6 
 
 3 
 
 
 1 2 
 
 6 
 
 
 8 
 
 4 
 
 
 16 
 
 8 
 
 
 16 
 
 8 
 
 
 57 
 
 4 
 
 I 
 
 5 
 
 
 I 
 
 10 
 
 
 1 
 
 *3 
 
 4 
 
 3 
 
 6 
 
 8 
 
 2 
 
 X 
 
 8 
 
 4 
 
 3 
 
 4 
 
 2 
 
 10 
 
 0 
 
 5 
 
 0 
 
 
 2 
 
 18 
 
 4 
 
 5 
 
 16 
 
 8 
 
 % 
 
 3 
 
 6 
 
 8 
 
 6 
 
 13 
 
 4 
 
 3 
 
 »5 
 
 0 
 
 7 
 
 10 
 
 0 
 
 4 
 
 3 
 
 4 
 
 8 
 
 6 
 
 8 
 
 4 
 
 1 1 
 
 8 
 
 9 
 
 3 
 
 4 
 
 5 
 
 p 
 
 0 
 
 10 
 
 0 
 
 
 10 
 
 
 
 20 
 
 
 
 '5 
 
 
 
 '30 
 
 
 
 20 
 
 
 
 40 
 
 
 
 25 
 
 
 
 50 
 
 
 
 30 
 
 
 
 60 
 
 
 
 35 
 
 
 
 70 
 
 
 
 40 
 
 
 
 80 
 
 
 
 45 
 
 
 
 90 
 
 
 
 50 
 
 
 
 100 
 
 
 
 55 
 
 
 
 1 10 
 
 
 
 60 
 
 
 
 120 
 
 
 
 65 
 
 
 
 130 
 
 
 
 70 
 
 
 
 140 
 
 
 
 75 
 
 
 
 150 
 
 
 
 80 
 
 
 
 160 
 
 
 
 85 
 
 
 
 170 
 
 
 
 90 
 
 
 
 180 
 
 
 
 95 
 
 
 
 190 
 
 
 
 100 
 
 ' 
 
 
 200. 
 
 
 
 200 
 
 
 
 400. 
 
 
 
 300 
 
 
 
 600 
 
 
 
 400 
 
 
 
 800 
 
 
 
 500 
 
 
 
 1000 
 
 
 
 600 
 
 
 
 1 200 
 
 
 
 700 
 
 
 
 1400 
 
 
 
 800 
 
 
 
 1600 
 
 
 
 900 
 
 
 
 1800 
 
 
 
 1000 
 
 
 
 2000 
 
 
 
Comply AT Assistant, iii 
 
 Table concluded. 
 
 300 300 300 
 
 
 
 £. s. J. i 
 
 £. i. d. 
 
 £• 
 
 063 
 
 30 
 
 240 
 
 0126 
 
 45 
 
 255 
 
 0189 
 
 60 
 
 270 
 
 I 5 0 
 
 7 S 
 
 285 
 
 I 14 0 
 
 90 
 
 300 
 
 2 15 0 
 
 los 
 
 600 
 
 500 
 
 120 
 
 900 
 
 650 
 
 135 
 
 1200 
 
 7 10 0 
 
 ISO 
 
 1500 
 
 9 15 0 
 
 160 
 
 1800 
 
 10 0 0 
 
 180 
 
 2100 
 
 11 50 
 
 *95 
 
 2400 
 
 12 10 0 
 
 210 
 
 2700 
 
 13 15 0 
 
 225 
 
 3000 
 
 15 0 Q 
 
 
 
 An explanation of the foregoing Tables.. 
 
 <^^HESE Tables, (for (hewing the value of 
 any thing, according to the given price of 
 an integer) difer very little in the conftruftion 
 thereof, to thofe already treated of and explain’d. 
 The number of what you defire to know the 
 Value of, being fpecified on the head of the ta- 
 ble, thus 5 beginning with 2, 3, 4, &c. to 10 ; 
 from thence, 20, 30, &c. to 300, and the price 
 yviW always be found in the firft column towards 
 the left hand: but here obferve, that the faid 
 prices are continued no further, than from the 
 beginning of the T able, page 106, to half way 
 down the oppofite page 107, noewithftanding 
 they do panicuiariy refer to the whole fucceed- 
 ing columns of the table throughout, fo that the 
 
1 12 "The Gentleman and Tradesman’s 
 
 number required being found on the head of the 
 faid table, and the price in the left hand column^ 
 the common meeting of the faid numbers give 
 ybu the value thereof, both in pounds, fliillings, 
 pence, and farthings, in their feveral refpeilivc 
 columns ; only it may be heceflary to bbferve, that 
 when your exadt number cannot be found at once 
 on the head of the table, you muft make up the 
 deficiency, with adding two tables together; 
 ocherwife, by colledling fuch table as is equal to 
 half your required number, and double the va- 
 lue thereof j examples of which, you have here 
 following, in compound Multiplicationj which 
 will (or at leaft (hould) exadly prove each othen 
 
 Multiplication of compound Quantities. 
 
 EXAMPLE I. 
 
 What coft 8 rod of brick- work, at I2s. 6 do 
 per rod ? 
 
 L ’ d. 
 
 12 6 
 
 8 
 
 ^.500 faciC; 
 
 Explanation of the Work. 
 
 Firft, fay 8 times 6 is 48 pence; fet down 6^ 
 and carry 4, the (hillings therein, faying, 8 
 times 12 is 96, and 4 carried^ is 100 (hillings,* 
 which is 5 pounds; therefore, fet down o in 
 the place of (hillings, and 5 pounds in the place 
 towards the left hand> which is the anfvver as 
 required. 
 
CoMPLEAT Assistant, £Sc. iiq;' 
 
 t 
 
 EXAMPLE 11. 
 
 What is the value of 9 fquares of Carpenters 
 work, at il. 5 s. 6 d. per fquare? 
 
 >C. d. 
 
 I 5 6 
 
 9 
 
 ' 1 1 9 6 facie. 
 
 Here I fay, 9 times 6 is 54 pence, which Is 4 
 fliillings and 6 pence; fet down 6, and carry 4, 
 faying, 9 times 5 is 45, and 4 carried, is 49 
 iliillings, which is 2 pounds 9 fliillings; fet 
 down 9 (hillings, and carry 2 pounds, faying, 9 
 times 1 is 9, and 2 I carry, is 1 1 pounds, and 
 the product is 1 1 1. 9 s. 6 d. the value required. 
 
 EXAMPLE III. 
 
 What coft 48 foot of timber, at is. 4d. k per 
 
 foot? 
 
 L- d. ^ 
 
 014^ 
 
 6 
 
 facit jT. 
 
 0 8 
 
 3 0 
 8 
 
 3 6 
 
 0 0 
 
 N. B, The fadors, or multipliers, are 6 and 
 8 (which being multiplied together, make 48, 
 the quantity) ; therefore, multiplying firft by 6, 
 and then bv 8, gives the anfwer. 
 
 Q_ la 
 
 / 
 
i'i 4 Gentleman and Tradesman’s 
 
 In anfwering all queftions of the beforemen- 
 tioned kind, take any two numbers, which, 
 when multiplied together, will produce the 
 quantity or number given, as in the laft exam- 
 ple, where 48 is given, the factors for which is 
 6 and 8, which, as aforefaid, make (multiplied 
 together) 48 ; therefore thefe fadors, when 
 found, being one of them multiplied by the 
 given price, and the other, by that, produd, the 
 laft produd will be the anfwer, as in the laft 
 example. In the firft place, I multiply the 
 price by 6, w^hich gives me the price of 6 feet ; 
 then I multiply the price of 6 feet by 8, and jt 
 gives me the price of 48 feet, as required, and 
 {q of all the reft. 
 
 EXAMPLE IV, 
 
 If I yard of any fort of work, or goods, &c, 
 coft 2 s. 9 d. what is the value of 100 yards ? 
 
 
 £■ 
 
 S , 
 
 d. 
 
 
 0 
 
 2 
 
 9 
 
 
 
 
 10 
 
 for 10' yards 
 
 I 
 
 7 
 
 6 
 
 
 
 
 10 
 
 for 100 yards 
 
 13 
 
 15 
 
 0 facie. 
 
 Nofe, The fadors will be 10 and 10, which 
 being multiplied together, make 100. 
 
 EXAMPLE S. 
 
 What will the charge of a painted room come 
 '0, which meafures 144 yards, at 7d. ^ per yard? 
 
CoMPLEAT Assistant, &c. ji£ 
 
 £. s. d. 
 
 o o 7 x 
 
 12 
 
 o 7 .6 o the price of 12 yards 
 
 12 
 
 4 10 o o the price of 144 yards. 
 
 Firft, I multiply the price of i yard by 12, 
 which gives the price of 12; then I multiply 
 that produdt by 1 2 again, which gives the price 
 of 144 yards as required. 
 
 EXAMPLE VI. 
 
 What comes 72 fquares of tiling to, at il. 7s. 6d. 
 per fquare ? 
 
 ;C- d. - 
 
 176 
 9_ 
 
 12 7 6 the price of 9 
 
 facit £,. 99 o o the price of 72 
 
 Here I multiply the price of i fquare by 9, 
 and the produd is the price for 9 ; then I mul- 
 tiply that produdt by 8, and the produdt thereof 
 h the price for 72 (for 9 times 8 make 72). 
 
 EXAMPLE VII. 
 
 What is the charge of 135 yards of paving, 
 at 2 8. 6d, i per yard. 
 
jji6 Gentleman and Tradesman’s 
 
 
 s. 
 
 d. 
 
 
 
 o 
 
 2 
 
 6 
 
 i 
 
 2. 
 
 
 
 
 
 12 
 
 
 I 
 
 10 
 
 6 
 
 0 
 
 the price of 12 yards 
 
 
 
 
 I I 
 
 
 i6 
 
 ^5 
 
 6 
 
 0 
 
 ,the price of 132 yards 
 
 ^ o 
 
 7 
 
 7 
 
 i 
 
 a 
 
 the price of 3 yards 
 
 17 
 
 3 
 
 1 
 
 I 
 
 "a 
 
 the price of 135 yards. 
 
 EXAMPLE VIII. 
 
 A Slater hath cover’d a roof, which meafures 
 12 fquares, at 1 1 . los. 6d. 4 per fquare, I de-« 
 tiiand the charge thereof? 
 
 £■ s. 
 
 d. 
 
 1 10 
 
 6 i 
 
 
 4 
 
 6 2 
 
 2 0 the price of 4 fquares 
 
 
 3 
 
 fack iB 6 
 
 6 0 the price of 12 ditto 
 
 Or thus. 
 
 by 12, at one operation 
 
 >c- 
 
 d. 
 
 I 10 
 
 6 i 
 
 
 12 
 
 £■ (8 6 
 
 6 anfwer as above. 
 
 Exam- 
 
COMPLEAT ASSI-STANT, &C. 11 J 
 
 EXAMPLE IX. 
 
 A Glazier hath glaz’d work, the dimenfions 
 whereof, when fquar’d and caft up, amount to 
 300 feet, at is. 6d. i per foot, I demand the 
 charge thereof? 
 
 
 s. 
 
 d. 
 
 
 0 
 
 1 
 
 6 
 
 % 
 
 
 
 
 10 
 
 0 
 
 
 5 
 
 0 the price of lo feet 
 
 
 
 
 10 
 
 7 
 
 14 
 
 2 
 
 0 the price of loo ditto 
 
 
 
 
 3 
 
 facit £.2^ 
 
 2 
 
 6 
 
 0 the price of 300, as req. 
 
 EXAMPLE X. 
 
 Of Merchandize. 
 
 If I yard of velvet coft ll. 4s. 6d. what 
 will 70 yards and i coft? 
 
 I 4 '6 4 
 
 10 
 
 12 550 price of lo yards 
 
 7 ^ 
 
 85 17 II o ditto 70 yards 
 
 12 3 I ditto i yard 
 
 f- 86 10 2 i anfwer for 7Q 4 : yards. 
 
 EXAM- 
 
■ji8 “The Gentleman and Tradesman’! 
 
 EXAMPLE XL 
 What coft 87 pounds of tea, at los. 6d. per lb? 
 
 
 d. 
 
 
 0 10 
 
 6 
 
 10 
 
 
 5 5 
 
 0 
 
 8 
 
 the price of lolb. 
 
 4^ Q 
 
 0 
 
 ditto - - - 80 lb. 
 
 3 13 
 
 6 
 
 ditto - - -- 71b. 
 
 facit£. 45 13 
 
 6 
 
 the value of 871b. 
 
 EXAMPLE XII. 
 
 If I gallon of rum coft 8 s. what will ioqq 
 coft at that rate ? 
 
 >C- •f* 
 
 d. 
 
 
 0 8 
 
 Q 
 
 10 
 
 
 4 0 
 
 0 
 
 price of lo 
 
 
 10 
 
 • 
 
 0 
 
 0 
 
 0 
 
 ditto of 100 
 
 
 10 
 
 - 
 
 jT. 400 0 
 
 0 
 
 ditto of 1000 
 
 If a hogfhead of tobacco coft 3I. 8 s. 4d, 
 
 what will 700 coft at that rate ? 
 
 
CoMPLEAT Assistant, & c . 119' 
 
 C I. d. 
 3845 
 10 
 
 34 3 
 
 9 
 
 0 price of -10 
 
 
 
 10 
 
 341 ^7 
 
 6 
 
 0 ditto of 100 
 
 
 
 7 
 
 )C- 2393 2 
 
 6 
 
 0 ditto of 700 
 
 This method of finding the value of any 
 number of feet, yards, fquares, pounds, gallons, 
 hoglheads, or any other thing you defire, is of 
 great ufe, as the work is here perform'd in a 
 fliort and eafy manner, and very often exceeds 
 the method of pradtice, and will undoubtedly be 
 of excellent ufe to all thofe who buy and fell by 
 retail, and to every perfon almoft, of whatfoever' 
 trade or bufinefs. 
 
 To exercife the laft tables by thofe examples. ' 
 
 E X M P L E 1 . 
 
 Being to find the value of 8 rod of brick- 
 work,. at 12S. 6d. per rod. 
 
 Look on the head of the table for 8, then 
 feek your price on the left hand column, viz. 
 12S. 6d. and you will find thus, for 12 s. (in 
 the column that hath 8 on the head thereof ) 
 4I. i6s. od. and in the fame column, a little 
 above, oppofite 6d. (the complement of the 
 price) 4?. which, added to the above, make 
 5 h os, od. the price thereof ^ 
 
The Gbntjlemah and Trahesman’s 
 thusy 
 
 Sk d. 
 
 For 12 s. per rod 4 i6 o 
 For 6 d. ditto o 4 o 
 
 For ’ 12 s. 6d. ditto 5 o o the proof. 
 
 This example may be fufficient, where the 
 exadl number is always found on the head of the 
 table ; but, as I faid before, as it will not always 
 hold out fo, the following example will be ne- 
 ceffary, in order to inftrud the learner how to ' 
 proceed, when he cannot find fuch number as he 
 would know the value of. 
 
 EXAMPLE XII. 
 
 Where the value of 1000 gallons of rum, at 
 8s. per gallon, is required; this number not be- 
 ing to be found, I take the table 200, which 
 having found 8 s. in the price column, I find, 
 oppofite thereto, in the common meeting with 
 200 column, Sol. os. od. therefore this only 
 being the value for 200, I want 5 times this 
 number, for 5 times 200 make looo; there- 
 fore proceed thus, if you can multiply. 
 
 for 200 jT. 80 
 
 5 _5 
 
 for 1000 400 the value thereof. 
 
 Or 
 
CoMPLEAT Assistant, &c. izt] 
 
 Or thus, by Addition, 
 
 ^00 
 
 at 8 s. per 
 
 gallon, is 
 
 80 
 
 200 
 
 ditto 
 
 ditto 
 
 80 
 
 200 
 
 ditto 
 
 ditto 
 
 80 
 
 200 
 
 ditto 
 
 ditto 
 
 80 
 
 200 
 
 ^ ditto 
 
 ditto 
 
 80 
 
 1000 
 
 ditto 
 
 ditto 400 
 
 Thefe examples will be fufficient to inftrudt 
 the learner how to find the value of any thing 
 almoft whatfoever required, either by the tables, 
 or multiplication 5 therefore, fhali leave the reft 
 of thefe examples for pradlice. 
 
 NGt&y That whereas, the great utility of 
 this Book may perhaps induce feveral perfons to 
 purchafe it, who are not fo perfedlly acquainted 
 with the ufe of figures as they could wifh, or at 
 leaft able to divide the produds of the feveral 
 dimenfions by 9 (in order to obtain the fquare 
 yards, or 100 for the fqiiares), therefore have, 
 at the latter end of hereof, inferted two Ta- 
 bles, which fhew% by infpedlion, the number of 
 fquare yards contain’d, from 18 to 1737, with 
 inftrudlions to any higher number required; alfo, 
 how to find the fquares' of to feet, in any 
 number whatfoever. 
 
 R 
 
 PART 
 
THE 
 
 Gentleman and Tradefman’s 
 
 Com PL EAT Assistant, 
 
 PART U. 
 
 CHAP. I. 
 
 Containing, Tables of Superficial (or Flat) 
 Measure j as Board, Glafs, Pavement, &c. 
 ready caft up, from i Foot to 50 in Length, 
 and the fame in Breadth (increafing regularly 
 1 Inch at each Step); which, by the Help 
 of Addition only, may be continued to any 
 greater Length or Breadth, 
 
CoMPLEAT Assistant, & c . 
 
 I4ength of the Board, Glafs, Pavement, &c. being 
 
 
 f. i. 
 
 f. i. 
 
 f. i. 
 
 
 I I 
 
 1 2 
 
 1 3 
 
 breadth in | 
 
 Content I 
 
 Content 1 
 
 Content 
 
 f. i. p. ' 
 
 f. i. p. 
 
 f. u p. 
 
 f. i. p. 
 
 ' I 3 
 
 » 4 
 
 > 5 
 
 1 6 
 
 I 6 
 
 » 7 
 
 * 9 
 
 I 10 
 
 * 9 
 
 I 10 
 
 2 
 
 2 2 
 
 2 
 
 2 2 
 
 2 4 
 
 2 6 
 
 ^ 1 
 
 2 5 
 
 2 7 
 
 2 9 
 
 2 6 
 
 2 8 
 
 2 10 
 
 3 i 
 
 3 9 
 
 211 
 
 3 2 
 
 3 $ 
 
 3 
 
 3 3 
 
 3 6 
 
 3 9 
 
 3 3 
 
 3 ^ 
 
 3 9 
 
 4 
 
 3 6 
 
 3 9 
 
 4 I 
 
 4 0 
 
 3 9 
 
 4 
 
 4 4 
 
 4 8 
 
 4 
 
 4 4 
 
 4 8 
 
 S 
 
 4 3 
 
 4 7 
 
 4 
 
 5 3 
 
 4 6 
 
 4 10 
 
 5 3 
 
 5 7 
 
 4 9 
 
 5 I 
 
 5 6 
 
 
 5 
 
 5 5 
 
 5 10 
 
 6 ^ 
 
 5 3 
 
 5 8 
 
 6 I 
 
 6 6 
 
 5 6 
 
 5 
 
 6 5 
 
 6 io 
 
 5 9 
 
 ‘ 6 2 
 
 6 ^ 
 
 7 » 
 
 6 
 
 6 6 
 
 7 
 
 7 6 
 
 6 3 
 
 6 9 
 
 7 3 
 
 7 9 
 
 6 6. 
 
 7 
 
 7 7 
 
 8 I 
 
 6 9 
 
 7 3 
 
 7 10 
 
 8 5 
 
 7 
 
 7 7 
 
 8 .2 
 
 8 9 
 
 7 3 
 
 7 10 
 
 8 S 
 
 9 0 
 
 7 6 
 
 $ 1 
 
 8 9 
 
 9 4 
 
 7 9 
 
 8 4 
 
 9 
 
 9 8 
 
 8 
 
 8 a 
 
 9 4 
 
 10 
 
 S 3 
 
 8 II 
 
 9 7 
 
 10 3 
 
 8 6 
 
 ■ 9 2 
 
 9 n 
 
 10 7 
 
 8 9 
 
 9 5. 
 
 10 2 
 
 10 lE 
 
 9 0 
 
 9 9 
 
 10 6 
 
 II 3 
 
 9 3 
 
 10 
 
 10 9 
 
 ** 5 
 
 9 6 
 
 10 3 
 
 II 1 
 
 11 8 
 
 9 9 
 
 10 6 
 
 II 4 
 
 I 0 
 
 10 0 
 
 10 10 
 
 1 1 8 
 
 I 0 4 
 
 10 3, 
 
 II I 
 
 II II 
 
 108 
 
 10 6 
 
 II 4 
 
 I 0 3 
 
 1 1 
 
 lio 9 
 
 11 7 
 
 1 I 0 0 
 
 * * 4 
 
 R 2; 
 
 123 
 
 Length, 
 
124 Gentleman and Tradesman’s 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 f. i. 
 
 I 1 
 
 f. i. 
 
 I 2 
 
 f. i. 
 
 I ^ 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P» 
 
 f. i. 
 
 P- 
 
 f. i. p. 
 
 f. i. p. 
 
 1 1 
 
 o 
 
 1 1 
 
 -i 
 
 I O lO 
 
 I I 9 
 12 0 
 
 1 1 
 
 3 
 
 I 90 
 
 2 
 
 1 I I I 
 
 1 1 
 
 6 
 
 * 5 
 
 5 
 
 1 I J 5 
 
 1 24 
 
 11 
 
 9 
 
 I o 
 
 8 i 
 
 1 1 I 8 
 
 I 2 8 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 i. f. i. 
 
 breadth in 
 f. i. p. 
 
 I 3 
 
 I 6 
 
 2 3 
 2 6 
 
 Content 
 ^i. p. 
 
 Content 
 
 f. i. p. 
 
 • * I 8 
 
 I 9 
 
 2 
 
 2 I 
 
 2 4 . 
 
 2 5 
 
 2 8 
 
 2 10 
 
 3 
 
 3 2 
 
 3 4 
 
 3 6 
 
 3 8 
 
 ‘ 3 10 
 
 4 
 
 4 3 
 
 4 A 
 
 4 7 
 
 4 8 
 
 4 
 
 5 
 
 5 3 
 
 5 4 
 
 5 8 
 
 5 8 
 
 6 
 
 6 
 
 6 4 
 
 6 4 
 
 6 8 
 
 6 8 
 
 7 I 
 
 7 
 
 7 5 
 
 7 4 
 
 • 7 9 
 
 7 8 
 
 8 I 
 
 8 
 
 8 6 
 
 ^ 4 
 
 8 10 1 
 
 S 8 
 
 9 2 
 
 i ^ 
 
 9 6 
 
 1 a 4 
 
 9 
 
 Content 
 
 f. i. p. 
 
 lO 
 
 3 
 
 7 
 
 4 
 9 
 1 
 6 
 
 4 lo, 
 
 5 3 
 
 6 4 
 
 6 9 
 
 7 I 
 
 7 6 
 
 7 lo 
 
 8 3 
 
 8 7 
 
 9 
 
 9 
 
 9 
 
 lO 
 
 lO 
 
 Length 
 
CoMPLEAT Assistant, &c. 12^ 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 
 
 f. 
 
 I 
 
 i. 
 
 4 
 
 
 f. 
 
 1 
 
 i. 
 
 5 
 
 
 f. i. 
 
 I 6 
 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. i. 
 
 P- 
 
 ' 7 
 
 3 
 
 
 9 
 
 
 
 IO 
 
 3 
 
 IO 
 
 IO 
 
 7 
 
 6 
 
 
 10 
 
 
 
 IO 
 
 7 
 
 1 1 
 
 3 
 
 7 
 
 9 
 
 
 10 
 
 4 
 
 
 IO 
 
 1 1 
 
 1 1 
 
 7 
 
 8 
 
 
 
 10 
 
 8 
 
 
 1 1 
 
 4 
 
 I 
 
 
 8 
 
 3 
 
 
 1 1 
 
 
 
 11 
 
 8 
 
 I 
 
 4 
 
 8 
 
 6 
 
 
 11 
 
 4 
 
 I 
 
 
 
 I 
 
 9 
 
 8 
 
 9 
 
 
 1 1 
 
 8 
 
 I 
 
 
 4 
 
 I I 
 
 1 
 
 9 
 
 
 1 
 
 
 
 1 
 
 
 9 
 
 1 1 
 
 6 
 
 9 
 
 3 
 
 I 
 
 
 4 
 
 I 
 
 I 
 
 1 
 
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 IO 
 
 9 
 
 6 
 
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 8 
 
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 I 
 
 5 
 
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 3 
 
 9 
 
 9 
 
 I 
 
 I 
 
 
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 9 
 
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 7 
 
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 I 
 
 4 
 
 1 
 
 2 
 
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 10 
 
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 8 
 
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 4 
 
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 2 
 
 
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 9 
 
 10 
 
 9 
 
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 2 
 
 4 
 
 1 
 
 3 
 
 2 
 
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 2 
 
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 1 
 
 2 
 
 8 
 
 I 
 
 3 
 
 7 
 
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 6 
 
 1 1 
 
 3 
 
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 3 
 
 
 1 
 
 3 
 
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 IO 
 
 1 1 
 
 6 
 
 1 
 
 3 
 
 4 
 
 1 
 
 4 
 
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 3 
 
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 9 
 
 i 
 
 3 
 
 8 
 
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 4 
 
 7 
 
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 7 
 
 1 
 
 
 I 
 
 4 
 
 
 I 
 
 5 
 
 
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 1 
 
 8 
 
 0 
 
 1 
 
 9 
 
 3 
 
 I IO 
 
 6 
 
 ^ 6 
 
 
 2 
 
 0 
 
 0 
 
 2 
 
 I 
 
 6 
 
 2 3 
 
 0 
 
 Length of the Board, Glafs, Pavement, Sec. being 
 
 
 f. i. 
 
 I 7 
 
 f. i. 
 
 I 8 
 
 f. i.'i 
 
 » 9 
 
 breadth in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. p. 
 
 f. i. p. 
 
 f. i. p. 
 
 f. i. p; 
 
 ^ 3 
 
 I II 
 
 2 I 
 
 2 2 
 
 I 6 
 
 2 4 
 
 2 6 
 
 2 7 
 
 * 9 
 2 
 
 2 9 
 
 3 2 
 
 2 1 1 
 
 3 4 
 
 3 6 
 
 ? 3 
 
 3 6 
 
 3 9 
 
 3 , 
 
 Length 
 
126 Gentleman and Tradesman’s 
 
 Length of the Board, Glafs, Pavement, &c, being 
 
 
 
 f. 
 
 I 
 
 i. 
 
 7 
 
 
 f. 
 
 1 
 
 i. 
 
 8 
 
 
 f. u 
 I 9 
 
 
 breadth in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 p- 
 
 f. 
 
 i; 
 
 P- 
 
 f. 
 
 i. 
 
 P* 
 
 f. i. 
 
 P- 
 
 2 
 
 6 
 
 
 3 
 
 li 
 
 
 4 
 
 2 
 
 4 
 
 4 
 
 3 
 
 9 
 
 
 4 
 
 4 
 
 
 • 4 
 
 7 
 
 4 
 
 9 
 
 3 
 
 
 
 4 
 
 9 
 
 
 5 
 
 
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 3 
 
 3 
 
 3 
 
 
 5 
 
 I 
 
 
 5 
 
 5 
 
 5 
 
 8 
 
 3 
 
 6 
 
 
 5 
 
 6 
 
 
 5 
 
 lO 
 
 6 
 
 1 
 
 3 
 
 9 
 
 
 5 
 
 11 
 
 
 6 
 
 3 
 
 6 
 
 6 
 
 4 
 
 
 
 6 
 
 4 
 
 
 6 
 
 8 
 
 7 
 
 
 4 
 
 3 
 
 
 6 
 
 8 
 
 
 7 
 
 I 
 
 7 
 
 S 
 
 4 
 
 6 
 
 
 7 
 
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 *7 
 
 # 
 
 6 
 
 7 
 
 10 
 
 4 
 
 9 
 
 
 7 
 
 6 
 
 
 7 
 
 11 
 
 8 
 
 4 
 
 5 
 
 
 
 7 
 
 11 
 
 
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 4 
 
 ^ 8 
 
 9 
 
 5 
 
 3 
 
 
 8 
 
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 8 
 
 9 
 
 9 
 
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 5 
 
 6 
 
 
 8 
 
 8 
 
 
 9 
 
 2 
 
 9 
 
 7 
 
 5 
 
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 9 
 
 I 
 
 
 9 
 
 7 
 
 lo 
 
 
 6 
 
 
 
 9 
 
 6 
 
 
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 10 
 
 6 
 
 6 
 
 3 
 
 
 9 
 
 lO 
 
 
 lo 
 
 5 
 
 lO 
 
 1 1 
 
 6 
 
 6 
 
 
 to 
 
 3 
 
 
 lO 
 
 lO 
 
 11 
 
 4 
 
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 8 
 
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 7 
 
 
 
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 11 
 
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 8 
 
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 7 
 
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 3 
 
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 11 
 
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 6 
 
 8 
 
 
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 4 
 
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 8 
 
 3 
 
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 1 
 
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 9 
 
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 5 
 
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 5 
 
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 2 
 
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 lO 
 
 8 
 
 9 
 
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 10 
 
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 7 
 
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 3 
 
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 6 
 
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 9 
 
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 2 
 
 7 
 
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 3 
 
 5 
 
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 2 
 
 9 
 
 6 
 
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 1 
 
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 lO 
 
 * 4 
 
 7 
 
 9 
 
 9 
 
 1 
 
 3 
 
 5 
 
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 4 
 
 3 
 
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 I 
 
 3 
 
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 4 
 
 8 
 
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 11 
 
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 6 
 
 I 
 
 4 
 
 7 
 
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 9 
 
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 5 
 
 
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 I 6 
 
 9 
 
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 I 
 
 5 
 
 5 
 
 1 
 
 6 
 
 4 
 
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 3 
 
 11 
 
 3 
 
 1 
 
 5 
 
 9 
 
 1 
 
 6 
 
 9 
 
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 8 
 
 11 
 
 
 j I 
 
 6 
 
 2 
 
 I 
 
 7 
 
 2 
 
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 11 
 
 9 
 
 « 
 
 6 
 
 7 
 
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 7 
 
 7 
 
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 6 
 
 % 
 
 1 
 
 1 » 
 
 7 
 
 o 
 
 I 
 
 8 
 
 o 
 
 * 9 
 
 o 
 
 Length. 
 
CoMPLEAT Assistant, & c . 127 
 
 Length of the Board, Glafs, Pavement, Ssc: being 
 
 
 
 f. 
 
 1 
 
 i. 
 
 10 
 
 
 f. 
 
 I 
 
 i. 
 
 11 
 
 
 f. 
 
 2 
 
 
 breadth in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
 P* 
 
 f. 
 
 *• 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 1 
 
 3 
 
 
 2 
 
 3 
 
 
 2 
 
 4 
 
 
 2 
 
 6 
 
 I 
 
 6 
 
 
 2 
 
 9 
 
 
 2 
 
 10 
 
 
 3 
 
 
 I 
 
 9 
 
 
 3 
 
 2 
 
 
 3 
 
 4 
 
 
 3 
 
 6 
 
 2 
 
 
 
 5 
 
 8 
 
 
 3 
 
 10 
 
 
 4 
 
 
 2 
 
 3 
 
 
 4 
 
 1 
 
 
 4 
 
 3 
 
 
 4 
 
 6 
 
 2 
 
 6 
 
 
 4 
 
 7 
 
 
 4 
 
 9 
 
 
 5 
 
 
 2 
 
 9 
 
 
 5 
 
 
 
 5 
 
 3 
 
 
 5 
 
 6 
 
 3 
 
 
 
 5 
 
 6 
 
 
 5 
 
 9 
 
 
 6 
 
 
 3 
 
 3 
 
 
 5 
 
 11 
 
 
 6 
 
 2 
 
 
 6 
 
 6 
 
 3 
 
 6 
 
 
 6 
 
 5 
 
 
 6 
 
 8 
 
 
 7 
 
 
 3 
 
 9 
 
 
 6 
 
 11 
 
 
 7 
 
 2 
 
 
 7 
 
 6 
 
 4 
 
 
 
 7 
 
 4 
 
 
 7 
 
 8 
 
 
 8 
 
 
 4 
 
 3 
 
 
 7 
 
 10 
 
 
 8 
 
 1 
 
 
 8 
 
 6 
 
 4 
 
 6 
 
 
 8 
 
 3 
 
 
 8 
 
 7 
 
 
 9 
 
 
 4 
 
 9 
 
 
 8 
 
 9 
 
 
 9 
 
 I 
 
 
 9 
 
 6 
 
 S 
 
 
 
 9 
 
 2 
 
 
 9 
 
 7 
 
 
 10 
 
 
 5 
 
 3 
 
 
 9 
 
 8 
 
 
 10 
 
 
 
 10 
 
 6 
 
 5 
 
 6 
 
 
 10 
 
 I 
 
 
 10 
 
 6 
 
 
 11 
 
 
 5 
 
 9 
 
 
 10 
 
 7 
 
 
 1 1 
 
 
 
 IX 
 
 6 
 
 6 
 
 
 
 1 1 
 
 
 
 1 1 
 
 6 
 
 1 
 
 
 
 6 
 
 3 
 
 
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 6 
 
 
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 1 1 
 
 1 
 
 
 6 
 
 6 
 
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 11 
 
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 6 
 
 7 
 
 
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 5 
 
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 6 
 
 7 
 
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 9 
 
 1 
 
 2 
 
 4 
 
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 3 
 
 
 7 
 
 9 
 
 1 
 
 2 
 
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 I 
 
 2 
 
 10 
 
 I 
 
 3 
 
 6 
 
 8 
 
 
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 2 
 
 8 
 
 I 
 
 3 
 
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 4 
 
 
 8 
 
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 3 
 
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 9 
 
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 4 
 
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 6 
 
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 3 
 
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 3 
 
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 5 
 
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 6 
 
 6- 
 
 9 
 
 6 
 
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 4 
 
 - 1 
 
 6 
 
 2 
 
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 7 
 
 
 9 
 
 9 
 
 1 
 
 5 
 
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 6 
 
 8 
 
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 6 
 
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 6 
 
 4 
 
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 7 
 
 2 
 
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 8 
 
 
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 3 
 
 i > 
 
 6 
 
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 7 
 
 7 
 
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 8 
 
 6 
 
 10 
 
 6 
 
 1 1 
 
 7 
 
 3 
 
 1 1 
 
 8 
 
 , X 
 
 1 I 
 
 9 
 
 
 Length 
 
 I 
 
128 Gentleman and Tradesman's 
 
 Length, of the Board, Glafs, Pavement, &c. being 
 
 f. i. f. i. f. 
 
 
 
 I 
 
 lO 
 
 
 1 
 
 1 1 
 
 2 
 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 L i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. i* 
 
 P- 
 
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 9 
 
 I 
 
 7 
 
 8 
 
 I 
 
 8 
 
 7 
 
 I 9 
 
 6 
 
 II 
 
 
 I 
 
 8 
 
 2 
 
 I 
 
 9 
 
 I 
 
 I lo 
 
 
 1 1 
 
 3 
 
 1 
 
 8 
 
 7 
 
 1 
 
 9 
 
 6 
 
 1 lo 
 
 6 
 
 11 
 
 6 
 
 1 
 
 9 
 
 1 
 
 I 
 
 lO 
 
 
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 11 
 
 9 
 
 1 
 
 9 
 
 6 
 
 1 
 
 lO 
 
 6 
 
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 6 
 
 1 
 
 
 1 
 
 lO 
 
 
 1 
 
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 2 
 
 
 Length of the Boafd, Glafs, Pavement, &c. being 
 
 
 
 f* 
 
 ii 
 
 
 f. 
 
 i. 
 
 
 f. i. 
 
 
 
 
 2 
 
 1 
 
 
 2 
 
 2 
 
 
 2 3 
 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 
 P- 
 
 f. i. 
 
 P- 
 
 I 
 
 3 
 
 
 2 
 
 7 
 
 
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 8 
 
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 1 
 
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 3 
 
 3 
 
 3 
 
 4 
 
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 7 
 
 
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 4 
 
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 4 
 
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 4 
 
 6 
 
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 3 
 
 
 4 
 
 8 
 
 
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 10 
 
 5 
 
 
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 6 
 
 
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 2 
 
 
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 5 
 
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 7 
 
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 9 
 
 
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 8 
 
 
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 6 
 
 2 
 
 3 
 
 
 
 6 
 
 3 
 
 
 6 
 
 6 
 
 6 
 
 9 
 
 3 
 
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 7 
 
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 3 
 
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 6 
 
 
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 7 
 
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 9 
 
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 6 
 
 
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 4 
 
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 6 
 
 
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 6 
 
 6 
 
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 I 
 
 6 
 
 I 2 
 
 
 6 
 
 6, 
 
 1 
 
 i 
 
 6 
 
 l 
 
 2 
 
 I 
 
 I 2 
 
 1 
 
 Length 
 
CompleAt Assistant, izg 
 
 Lfnjth of the Board, Glafs, Pavement, &c. being 
 
 
 
 f. 
 
 2 
 
 i. 
 
 1 
 
 
 f. 
 
 2 
 
 i. 
 
 2 
 
 
 f. 
 
 2 
 
 i. 
 
 3 
 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
 p- 
 
 f. 
 
 i. 
 
 P* 
 
 f. 
 
 i. 
 
 P- 
 
 6 
 
 9 
 
 1 
 
 2 
 
 
 I 
 
 2 
 
 7 
 
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 3 
 
 2 
 
 7 
 
 
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 7 
 
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 3 
 
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 3 
 
 9 
 
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 3 
 
 8 
 
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 3 
 
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 6 
 
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 3 
 
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 4 
 
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 7 
 
 9 
 
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 5 
 
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 6 
 
 
 8 
 
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 2 
 
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 c 
 
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 6 
 
 6 
 
 8 
 
 6 
 
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 8 
 
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 7 
 
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 8 
 
 9 
 
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 2 
 
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 6 
 
 1 1 
 
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 7 
 
 8 
 
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130 The Gentleman and Tradesman’s 
 
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 131 
 
 Length 
 
132 ^he Gentleman and Tradesman's 
 
 Length of the Board, Glafs, Pavement, Sec, being 
 
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 27 28 29 
 
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 Con tens 
 
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CoMPLEAT Assistant, &c. 133 
 
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134 Gentleman and Tradesman’s 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 
 
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CoMPLEAT Assistant, &c. 13^ 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 
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 4 
 
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 6 
 
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 7 
 
 
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 7 
 
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 7 
 
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 8 
 
 
 7 
 
 6 
 
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 6 
 
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 9 
 
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 7 
 
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 141 
 
 Length 
 
142 ‘o?i«’^GENTiEMAN dtld TRADESMAN’S 
 I.eqgth .flf .the Board, Gla(s, |Payemeh^, Ac. ,bei^ 
 
 
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 breadth in | Content 
 
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 Length of the Boards Glafs, Paverticnt, •&€. being 
 
 f. i. f. L f; i. 
 
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 length 
 
CoM^LEAT Assistant, &e. 143 
 
 ^iigth of the Board,* Glafs, Pavement, &c. beings 
 
 
 
 
 f. 
 
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 1 . 
 
 i 
 
 
 f. 
 
 4 
 
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 8 
 
 
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 breadth in 
 
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 Length of the Board, Glafs, Pavemeht, 8cc, being 
 
 
 f. i. 
 
 f. i. 
 
 f. 
 
 
 10 
 
 4 11 
 
 5 
 
 breadth in 
 
 Content 
 
 breadth in 
 
 Content 
 
 f. i. p. 
 
 f. i. p. 
 
 f. i. p. 
 
 f. i. p. 
 
 I 3 
 
 6 
 
 6 I 
 
 6 3 
 
 I 6 
 
 7 3 
 
 Z 4 
 
 7 6 
 
 9 
 
 8 5 
 
 8 7 
 
 8 9 
 
 Length 
 
"The Gentleman and Tradesman’s 
 
 Length of the Board, Glafs, Pavement, &c. being 
 f. i. f. i. i. 
 
 
 
 4 
 
 lO 
 
 
 4 
 
 11 
 
 
 5 
 
 
 
 breadth 
 
 in 
 
 Content 
 
 Content 
 
 Content 
 
 f. i. 
 
 P- 
 
 f. 
 
 i. 
 
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 f. 
 
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 6 
 
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 3 
 
 8 
 
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 8 
 
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 6 
 
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 4 
 
 
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 4 
 
 
 4 
 
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 1 
 
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 2 
 
 
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 3 
 
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 6 
 
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 4 
 
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 4 
 
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 3 
 
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 7 
 
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 6 
 
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 7 
 
 7 
 
 4 
 
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 9 
 
 6 
 
 11 
 
 9 
 
 4 
 
 8 
 
 9 
 
 4 
 
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 91 
 
 4 
 
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 9 
 
HS 
 
 CoMPLEAT Assistant, & c . 
 
 Length of the Board, Glafs, Pavement, &c. being 
 
 f. i. f. 5. f. 
 4 lo 4 II 5 
 
 breadth in 
 
 r. i. p. 
 
 Content 
 f. i. p. 
 
 Content 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 I 
 
 4 lo 
 
 4 II 
 
 5 
 
 2 
 
 9 8 
 
 9 10 
 
 10 
 
 3 
 
 14 6 
 
 14 9 
 
 15 
 
 4 
 
 *9 4 I 
 
 1 19 8 j 
 
 120 
 
 5 
 
 24 2 ] 
 
 1 H 7 
 
 Us 
 
 The reader is here to obferve, that I 
 have calculated the former part of thefe tables 
 fo far, to increafe only a quarter of an inch at 
 each ftep in the breadth, which will be found 
 very convenient for meafuring of glafs, and the 
 like, being more particular in taking their 
 dimenfions, than what feveral other branches 
 commonly require. 
 
 CHAP. IL 
 
 TABLES continued. 
 
 Vi/ 
 
 gp OP an 
 
 # • 
 
 U 
 
146 Gentleman and Tradesman’s 
 
 L«ngth of the Mcafurement bcins 
 
 f. u f. u f. i. f. I. 
 
 
 
 5 
 
 1 
 
 
 5 
 
 2 
 
 
 
 
 5 
 
 3 
 
 
 5 
 
 4 
 
 
 brd. 
 
 f. 
 
 'H 
 
 Content 
 f. i. p. 
 
 Content 
 f. i. p. 
 
 brd. 
 
 f. 
 
 i. 
 
 Content 
 f. i. p. 
 
 Content 
 
 f. i. p. 
 
 
 2 
 
 ^ 1 
 
 
 10 
 
 2 
 
 
 10 
 
 4 
 
 
 2 
 
 
 10 
 
 6 
 
 
 40 
 
 & 
 
 
 3I 
 
 1 
 
 3 
 
 3 
 
 1 
 
 3 
 
 6 ' 
 
 
 3 
 
 I 
 
 3 
 
 9 
 
 I 
 
 4 
 
 
 
 4 
 
 1 
 
 8 
 
 4 
 
 1 
 
 8 
 
 8 
 
 
 4 
 
 1 
 
 9 
 
 
 1 
 
 9 
 
 4 
 
 
 5 
 
 2 
 
 I < 
 
 5 
 
 2 
 
 1 
 
 10 
 
 
 5 
 
 2 
 
 2 
 
 3 
 
 2 
 
 2 
 
 8 
 
 
 h 
 
 2 
 
 6 
 
 6 
 
 2 
 
 7 
 
 0 
 
 
 6 
 
 2 
 
 7 
 
 6 
 
 2 
 
 8 
 
 
 
 1 
 
 2 
 
 11 
 
 7 
 
 3 
 
 6 
 
 2 
 
 
 f 
 
 3 ^ 
 
 
 9 
 
 3 
 
 I 
 
 4 
 
 
 8 
 
 3 
 
 4 
 
 8 
 
 3 
 
 5 
 
 4 
 
 
 8 
 
 3 
 
 6 
 
 
 3 
 
 6 
 
 8 
 
 
 9 
 
 3 
 
 9 
 
 9 
 
 3 
 
 lb 
 
 6 - 
 
 i ' 
 
 9 
 
 3 
 
 f I 
 
 3 
 
 4 
 
 
 
 
 40 
 
 4 
 
 2 
 
 10 
 
 4 
 
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 8 
 
 
 10 
 
 4 
 
 4 
 
 6 
 
 4 
 
 5 
 
 4 
 
 
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 7 
 
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 4 
 
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 4 
 
 9 
 
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 10 
 
 8 
 
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 5 
 
 1 
 
 
 5 
 
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 % 
 
 3 
 
 
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 10 
 
 2 
 
 
 10 
 
 4 
 
 
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 16 
 
 b 
 
 
 10 
 
 8 
 
 
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 6 
 
 
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 9 
 
 
 16 
 
 
 
 4 
 
 
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 4 
 
 
 20 
 
 8- 
 
 
 - 4 
 
 
 i 
 
 
 
 21 
 
 4 
 
 
 5 
 
 
 Us 
 
 5 
 
 
 25 
 
 10 
 
 
 5 
 
 
 1 26 
 
 3 
 
 
 26 
 
 8 
 
 
 Length of the Meafurement, being 
 
 
 fi 
 
 5 
 
 i* 
 
 5 ‘ 
 
 f. 
 
 5 
 
 i. 
 
 6 
 
 
 
 f. 
 
 5 
 
 L 
 
 7 
 
 
 f. 
 
 5 
 
 i. 
 
 8 
 
 
 brd. in 
 
 Content 
 
 Gontens 
 
 brd. 
 
 in 
 
 Content 
 
 Content 
 
 f. i. 
 
 f. 
 
 i. p. 
 
 f. 
 
 i. p. 
 
 f. 
 
 i; 
 
 f. 
 
 i. 
 
 P- 
 
 f. 
 
 i. 
 
 p. 
 
 2 
 
 
 10 10 
 
 11 
 
 
 2 
 
 1 1 
 
 2 
 
 1 1 
 
 4 
 
 3 
 
 1 
 
 ^ 1 
 
 I 
 
 4 6 
 
 
 3 
 
 1 
 
 4 
 
 9 
 
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 5 
 
 
 4 
 
 1 
 
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 4 
 
 1 
 
 10 
 
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 1 
 
 10 
 
 8 
 
 5 
 
 2 
 
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 2 
 
 3 6 
 
 
 5 
 
 2 
 
 3 
 
 IT 
 
 2 
 
 4 
 
 4 
 
 6 
 
 2 
 
 8 6 
 
 2 
 
 9 ^ 
 
 
 6 
 
 2 
 
 9 
 
 6 
 
 2 
 
 10 
 
 
 7 
 
 3 
 
 I II 
 
 3 
 
 2’ 6 
 
 
 7 
 
 3 
 
 3 
 
 1 
 
 3 
 
 3 
 
 8. 
 
 8 
 
 3 
 
 7 4 
 
 3 
 
 8 
 
 
 8 
 
 3 
 
 8 
 
 8 
 
 3 
 
 9 
 
 4 
 
 9 
 
 4 
 
 9 
 
 ' 4 
 
 1 6 
 
 
 9 
 
 4 
 
 2 
 
 3 
 
 4 
 
 3 
 
 
 lO 
 
 4 
 
 4 2 
 
 4 
 
 7 ^ 
 
 
 10 
 
 4 
 
 7 
 
 10 
 
 4 
 
 8 
 
 8 
 
 1 1 
 
 4 
 
 M Ii 
 
 5 
 
 6 
 
 
 1 r 
 
 5 
 
 I 
 
 5 
 
 5 
 
 2 
 
 4- 
 
 1 
 
 5 
 
 5 
 
 5 
 
 6 
 
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 5 
 
 7 
 
 
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 8 
 
 
 2 
 
 10 
 
 10 
 
 1 1 
 
 
 2 
 
 
 1 1 
 
 2 
 
 ' 
 
 1 1 
 
 4 
 
 
 3 
 
 16 
 
 3 
 
 16 
 
 6 
 
 3 
 
 
 16 
 
 9 
 
 
 17 
 
 
 
 4 
 
 21 
 
 8 
 
 22 
 
 
 4 
 
 
 22 
 
 4 
 
 
 22 
 
 8 
 
 
 5'^ 
 
 I27 
 
 I 
 
 27 
 
 6 
 
 S; 
 
 
 27 
 
 1 1 
 
 
 28 
 
 4 
 
 
 Length. 
 
CoMPLEAT Assistant, & c . 
 
 Length of the Meafiirement being 
 
 
 1 
 
 5 . 
 
 9 ,. 
 
 f, 
 
 5 
 
 i. 
 
 10 
 
 
 f. 
 
 5 
 
 i. 
 
 ii 
 
 T. 
 
 6 
 
 
 breadth 
 
 Content 
 
 Content 
 
 breadth 
 
 Content 
 
 Content 
 
 f. i. 
 
 f. 
 
 i. p. 
 
 f. 
 
 i. p. 
 
 f. i. 
 
 f. 
 
 i. p. 
 
 f. i. 
 
 
 2 
 
 
 11 6. 
 
 
 II 8' 
 
 2 
 
 
 II |0 
 
 ■-1 
 
 
 3 
 
 I 
 
 S 3 - 
 
 1 
 
 5 6 
 
 3 
 
 1 
 
 5 9 
 
 I 6 
 
 
 4 
 
 I 
 
 11 
 
 I 
 
 ^ I 4 
 
 4 
 
 f 
 
 la 8 
 
 2 
 
 
 S 
 
 2 
 
 4 9 
 
 z 
 
 5 
 
 5 
 
 2 
 
 
 2 6 
 
 
 
 2 
 
 10 6 
 
 2 
 
 M 
 
 
 2 
 
 ti 6 
 
 3 
 
 
 7 
 
 3 ' 
 
 4 3 
 
 3 
 
 4 10 
 
 7 
 
 3 
 
 5 5 
 
 3 6 
 
 
 8 
 
 3 
 
 IQ 
 
 3 
 
 10 8 
 
 8 
 
 3 
 
 11 4 
 
 4 ^ 
 
 
 9 
 
 4 
 
 3 9 
 
 4 
 
 4 6 
 
 ^ 9 
 
 4 
 
 5 3 
 
 4 6 
 
 
 1,0 
 
 4 
 
 9 
 
 4 
 
 10 4 
 
 1:0 
 
 4 
 
 1 1 2 
 
 5 ^ 
 
 
 II 
 
 5 . 
 
 3 3 
 
 5 
 
 4 2 
 
 I I 
 
 5 
 
 5 * 
 
 5 6 
 
 
 1 
 
 5 
 
 9 
 
 5 
 
 10 
 
 I 
 
 5 
 
 11 
 
 6 
 
 
 2 
 
 1 1 
 
 6 
 
 11 
 
 8 
 
 2 
 
 1 1 
 
 10 
 
 12 
 
 
 3 
 
 *7 
 
 3 
 
 *7 
 
 6 
 
 3 
 
 »7 
 
 9 
 
 18 
 
 
 4 
 
 23 
 
 
 23 
 
 4 
 
 4 
 
 23 
 
 8 
 
 24 
 
 
 5 
 
 28 
 
 9 
 
 29 
 
 2 
 
 5 
 
 29 
 
 7 
 
 30 
 
 
 
 
 Length of the Meafiirement being 
 
 
 
 
 f. 
 
 i. 
 
 f. 
 
 i. 
 
 
 f. 
 
 i. 
 
 f. L 
 
 
 
 6 
 
 I 
 
 6 
 
 >2 
 
 
 6 
 
 3 
 
 6 4 
 
 
 breadth 
 
 Content 
 
 Content 
 
 breadth 
 
 Content 
 
 Content 
 
 f. i. 
 
 f. 
 
 i. p. 
 
 f. 
 
 i. p. 
 
 f. i. 
 
 f. 
 
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l66 The Gentleman and Tradesman’s 
 
 Length of the Meafurement, in Feet and Inches, being 
 
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CoMPLEAT Assistant, &c. 167 
 
 Length of the Meafurement, in Feet and Inches, being 
 
 f 
 
 
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 f. i. 
 
 f. i. p. 
 
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 f. i. p. 
 
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l68 The Gentleman and Tradesman’^ 
 
 Length of the Meafuretnerit* . in Feet ahd Inches, being; 
 
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CoMPLEAT Assistant, 169 
 
 Length of the Meafurement, in Feet and Inches, being 
 
 
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CoMPLEAT Assistant, G?<r. lyg 
 
 Length of the Meafurement, in Feet and Inches, being 
 
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The Gentleman and Tradesman’s 
 
 Length of the Meafurement being 
 
 
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 f. 
 
 22 
 
 f. 
 
 23 
 
 f. 
 
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 f. 
 
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 breadth 
 
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 84 
 
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 192 
 
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 207 
 
 216 
 
 225 
 
 10 
 
 210 
 
 220 
 
 230 
 
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 250 
 
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 23 1 - 
 
 242 
 
 253 
 
 264 
 
 275 
 
 12 
 
 252 
 
 264 
 
 276 
 
 288 
 
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 286 
 
 299 
 
 312 
 
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 294 
 
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 322 
 
 336 
 
 350 
 
 
 315 
 
 330 
 
 345 
 
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 37 5 
 
 16 
 
 336 
 
 352 
 
 368 
 
 384 
 
 400 
 
 17 
 
 357 
 
 374 
 
 39 1 
 
 408 
 
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 378 
 
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 432 
 
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 19 
 
 399 
 
 418 
 
 437 
 
 456 
 
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 20 
 
 420 
 
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 460 
 
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 26 27 28 29 30 
 
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 f. i. 
 
 Content 
 
 f. i. 
 
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 f. i. 
 
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 f. i. 
 
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 f. i. 
 
 2 
 
 4 4 
 
 4 6 
 
 4 8 
 
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 6 6 
 
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 7 3 
 
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CoMPLEAT AsSISfANT, 
 
 Length of the Meafurement, being 
 
 f. f . f. f. - f. 
 
 26 27 28 29 30 
 
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 Content 
 
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 Content ' 
 
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 5 
 
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 135 
 
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 150 
 
 6 
 
 156 
 
 162 
 
 168 
 
 174 
 
 180 
 
 7 
 
 182 
 
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 196 
 
 203 
 
 210 
 
 8 
 
 208 
 
 2 1 5 
 
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 232 
 
 240 
 
 9 
 
 234 
 
 243 
 
 232 
 
 261 
 
 270 
 
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 260 
 
 270 
 
 280 
 
 290 
 
 300 
 
 1 1 
 
 286 
 
 297 
 
 308 
 
 319 
 
 330 
 
 1 2 
 
 312 
 
 324 
 
 336 
 
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 13 
 
 338 
 
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 377 
 
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 364 
 
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 392 
 
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 5 
 
 4 
 
 5 
 
 6 
 
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Jyd 7 be Gentleman and Tradesman's 
 
 Length of the Mcafurcmenl being 
 
 
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 31 
 
 32 
 
 33 
 
 34 
 
 35 
 
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 Content 
 
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 f. i. 
 
 f. 1. 
 
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 f. i. 
 
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 3 
 
 93 
 
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 124 
 
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 186 
 
 192 
 
 198 
 
 204 
 
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 217 
 
 224 
 
 231 
 
 238 
 
 245 
 
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 248 
 
 256 
 
 264 
 
 272 
 
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 288 
 
 297 
 
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 37 
 
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 f. i. 
 
 2 
 
 6 
 
 6 
 
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 33 
 
 33 
 
 11 
 
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 Length 
 
 i 
 
CoMPLEAT Assistant, 179 
 
 Length of the Meafurcmcnt being 
 
 f. f. ' f. f. f. 
 
 36 37 38 39 40 
 
 breadth | 
 
 Content 
 
 Content 
 
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 f. i. 
 
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 A a 2 Len(»tJv 
 
 C3 
 
i 8 o ‘ I'he Gentleman and Tradesman’s 
 
 Length of the Meafurement being 
 
 
 f. 
 
 f. 
 
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 f. 
 
 f. 
 
 
 41 
 
 42 
 
 43 
 
 44 
 
 45 
 
 breadth 
 
 Content 
 
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 123 
 
 126 
 
 129 
 
 132 
 
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 4 
 
 164 
 
 168 
 
 172 
 
 176 
 
 180 
 
 5 
 
 205 
 
 210 
 
 215 
 
 220 
 
 225 
 
 6 
 
 246 
 
 252 
 
 258 
 
 264 
 
 270 
 
 7 
 
 287 
 
 294 
 
 301 
 
 308 
 
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 8 
 
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 336 
 
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 46 
 
 47 
 
 48 
 
 49 
 
 50 
 
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 Content 
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 2 
 
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 7 to 
 
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 Length 
 
CoMPLEAT Assistant, &€, i8i 
 
 Length of the MeaAjrement being 
 
 
 f. 
 
 46 
 
 f. 
 
 47 
 
 f. 
 
 48 
 
 f. 
 
 49 
 
 f, 
 
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 breadth 
 
 Content 
 
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 8 
 
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 276 
 
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 288 
 
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 750 
 
 i6 
 
 756 
 
 752 
 
 768 
 
 784 
 
 800 
 
 17 
 
 782 
 
 799 
 
 816 
 
 833 
 
 850 
 
 ' |8 
 
 828 
 
 846 
 
 864 
 
 882 
 
 900 
 
 
 874 
 
 893 
 
 912 
 
 931 
 
 95O 
 
 20 
 
 920 
 
 940 
 
 960 
 
 980 j 
 
 looo 
 
 30 ‘ 
 
 1380 
 
 1410 
 
 1440 
 
 1470 1 
 
 1 500 
 
 40 
 
 1840 j 
 
 1880 j 
 
 1920 
 
 i960 j 
 
 2000 
 
 
 2300 1 
 
 2350 1 
 
 24QO 
 
 2450 1 
 
 25 OQ 
 
 chap. 
 
Square of the Timber, or Stone, in Irxhes and half Inches 
 
 182 ‘the Gentleman and Tradesman's 
 
 CHAP. III. 
 
 A TABLE of Cubical (or Solid) Meafure ; as 
 Timber, Stone, &c. ready call up, from half an 
 Inch, to 36 Inches fquare at the End, and 
 from I Foot to 10 Feet in Length; and, by 
 the Help of Addition only, to any greater 
 Length. 
 
 The Length of the Timber, or Stone, in Feet, 5cc. 
 
 I 2 j 4 5 6 7 8 
 
 i. 1 
 1 
 
 f. 
 
 '’ll 
 
 f. 
 
 
 f. 
 
 E :\ 
 
 f. 
 
 '’ll 
 
 f. 
 
 -il 
 
 f. 
 
 '’ll 
 
 f. 
 
 p- 
 
 f. 
 
 P- 
 
 % 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 0 
 
 I 
 
 0 
 
 X 
 
 0 
 
 *1 
 
 0 
 
 1 
 
 0 
 
 1 
 
 1 
 
 0 
 
 I 
 
 0 
 
 I 
 
 0 
 
 2 
 
 0 
 
 3 
 
 0 
 
 3 
 
 0 
 
 4 
 
 [ 0 
 
 5 
 
 0 
 
 5 
 
 
 0 
 
 2 
 
 0 
 
 3 
 
 0 
 
 5 
 
 0 
 
 6 
 
 0 
 
 8 
 
 0 
 
 
 0 
 
 11 
 
 0 
 
 13 
 
 2 
 
 0 
 
 3 
 
 0 
 
 5 
 
 0 
 
 8 
 
 0 
 
 I X 
 
 0 
 
 <4 
 
 Q 
 
 
 i ® 
 
 19 
 
 0 
 
 22 
 
 
 0 
 
 4 
 
 0 
 
 8 
 
 0 
 
 13 
 
 0 
 
 *7 
 
 0 
 
 21 
 
 0 
 
 26 
 
 0 
 
 30 
 
 0 
 
 34 
 
 3 
 
 0 
 
 6 
 
 0 
 
 12 
 
 0 
 
 18 
 
 0 
 
 25 
 
 0 
 
 3 x 
 
 0 
 
 37 
 
 0 
 
 43 
 
 0 
 
 49 
 
 
 Q 
 
 8 
 
 0 
 
 
 0 
 
 25 
 
 0 
 
 34 
 
 0 
 
 42 
 
 0 
 
 5 ] 
 
 0 
 
 59 
 
 0 
 
 68 
 
 4 
 
 G 
 
 U 
 
 0 
 
 22 
 
 Q 
 
 33 
 
 Q 
 
 44 
 
 0 
 
 55 
 
 0 
 
 66 
 
 0 
 
 78 
 
 0 
 
 89 
 
 
 0 
 
 H 
 
 0 
 
 28 
 
 0 
 
 42 
 
 0 
 
 5 <^ 
 
 0 
 
 70 
 
 0 
 
 84 
 
 0 
 
 98 
 
 X 
 
 12 
 
 5 
 
 0 
 
 17 
 
 0 
 
 2$ 
 
 0 
 
 52 
 
 0 
 
 69 
 
 0 
 
 87 
 
 I 
 
 4 
 
 X 
 
 22 
 
 X 
 
 39 
 
 
 P 
 
 21 
 
 0 
 
 42 
 
 0 
 
 60 
 
 0 
 
 84 
 
 I 
 
 5 
 
 1 
 
 26 
 
 1 
 
 47 
 
 I 
 
 68 
 
 6 
 
 0 
 
 25 
 
 0 
 
 
 0 
 
 75 
 
 X 
 
 80 
 
 I 
 
 25 
 
 I 
 
 
 1 
 
 55 
 
 2 
 
 a 
 
 — 
 
 Q 
 
 29 
 
 0 
 
 
 0 
 
 38 
 
 X 
 
 '7 
 
 1 
 
 46 
 
 X 
 
 76 
 
 2 
 
 5 
 
 2 
 
 34 
 
 7 
 
 q 
 
 34 
 
 o 
 
 68 
 
 X 
 
 2 
 
 I 
 
 36 
 
 1 
 
 7 ^ 
 
 2 
 
 4 
 
 2 
 
 38 
 
 2 
 
 72 
 
 
 0 
 
 39 
 
 0 
 
 78 
 
 I 
 
 *7 
 
 1 
 
 56 
 
 X 
 
 95 
 
 z 
 
 34 
 
 2 
 
 73 
 
 3 
 
 12 
 
 8 
 
 0 
 
 44 
 
 0 
 
 89 
 
 1 
 
 33 
 
 X 
 
 77 
 
 2 
 
 22 
 
 2 
 
 66 
 
 3 
 
 I i 
 
 3 
 
 55 
 
 — 
 
 0 
 
 50 
 
 0 
 
 90 
 
 X 
 
 50 
 
 2 
 
 JO 
 
 2 
 
 5 * 
 
 3 
 
 I 
 
 3 
 
 S' 
 
 4 
 
 t 
 
 9 
 
 0 
 
 56 
 
 i 
 
 12 
 
 1 
 
 68 
 
 2 
 
 25 
 
 2 
 
 81 
 
 3 
 
 37 
 
 3 
 
 93 
 
 4 
 
 49 
 
 
 p 
 
 63 
 
 1 
 
 25 
 
 X 
 
 88 
 
 z 
 
 51 
 
 3 
 
 *3 
 
 3 
 
 76 
 
 4 
 
 29 
 
 5 
 
 I 
 
 10 
 
 0 
 
 69 
 
 I 
 
 39 
 
 2 
 
 8 
 
 2 
 
 77 
 
 3 
 
 47 
 
 4 
 
 16 
 
 4 
 
 86 
 
 5 
 
 55 
 
 
 0 
 
 76 
 
 1 
 
 53 
 
 2 
 
 29 
 
 3 
 
 6 
 
 3 
 
 82 
 
 4 
 
 59 
 
 5 
 
 35 
 
 6 
 
 1 2 
 
 ti 
 
 0 
 
 84 
 
 I 
 
 63 
 
 2 
 
 52 
 
 3 
 
 36 
 
 4 
 
 20 
 
 5 
 
 4 
 
 5 
 
 88 
 
 6 
 
 72 
 
 — 
 
 0 
 
 92 
 
 I 
 
 84 
 
 2 
 
 76 
 
 3 
 
 67 
 
 4 
 
 59 
 
 5 
 
 5* 
 
 6 
 
 43 
 
 7 
 
 35 
 
 12 
 
 1 
 
 
 z 
 
 00 
 
 3 
 
 0 
 
 4 
 
 0 
 
 5 
 
 0 
 
 6 
 
 0 
 
 7 
 
 0 
 
 8 
 
 0, 
 
 — 
 
 I 
 
 8 
 
 2 
 
 17 
 
 3 
 
 25 
 
 4 
 
 34 
 
 5 
 
 42 
 
 6 
 
 5> 
 
 7 
 
 S' 
 
 8 
 
 6a 
 
 *3 
 
 I 
 
 17 
 
 2 
 
 35 
 
 3 
 
 52 
 
 4 
 
 69 
 
 5 
 
 87 
 
 7 
 
 4 
 
 8 
 
 22 
 
 9 
 
 39 
 
 
 1 
 
 26 
 
 2 
 
 53 
 
 3 
 
 80 
 
 5 
 
 6 
 
 6 
 
 33 
 
 7 
 
 59 
 
 8 
 
 86 
 
 10 
 
 *3 
 
 >4 
 
 I 
 
 3 ^ 
 
 2 
 
 72 
 
 4 
 
 8 
 
 5 
 
 44 
 
 6 
 
 80 
 
 3 
 
 16 
 
 9 
 
 53 
 
 10 
 
 89 
 
 
 1 
 
 46 
 
 2 
 
 92 
 
 4 
 
 38 
 
 5 
 
 84 
 
 7 
 
 30 
 
 8 
 
 76 
 
 xo 
 
 22 
 
 1 1 
 
 6a 
 
 *5 
 
 1 
 
 56 
 
 3 
 
 12 
 
 4 
 
 68 
 
 6 
 
 
 7 
 
 81 
 
 9 
 
 
 i 
 
 93 : 
 
 1 
 
 49 
 
 
 1 
 
 67 1 3 
 
 33 
 
 1 5 
 
 0 
 
 6 
 
 67 
 
 8 
 
 89 
 
 
 
 
 
 
 
 i6 
 
 1 
 
 78 1 3 
 
 55 
 
 I 5 
 
 33 
 
 7 
 
 XI 
 
 9 45 
 
 
 1 
 
 1 
 
 
 
 
CoMPLEAT AssrstANT, &c. 183 
 
 The Length of the Timbcir, or Stene, in Feet, &c. 
 
 
 9 
 
 10 
 
 M 
 
 Ifil 
 
 f. p. 
 
 ( 
 
 1 
 
 0 2 
 
 0 2 
 
 « * 
 
 0 6 
 
 0 7 
 
 « 
 
 0 11 
 
 0 16 
 
 6 2 
 
 0 25 
 
 0 28 
 
 < 4-1 
 
 0 39 
 
 0 43 
 
 5 3 
 
 0 56 
 
 0 6» 
 
 
 0 76 
 
 0 85 
 
 S 4 
 
 0 99 
 
 I 11 
 
 
 1 26 
 
 1 40 
 
 'S 5 
 
 I 56 
 
 » 74 
 
 c 
 
 1 89 
 
 2 10 
 
 .S ^ 
 
 2 25 
 
 2 50 
 
 ft 
 
 2 64 
 
 2 93 
 
 1 7 
 
 3 6 
 
 3 40 
 
 
 3 5 > 
 
 3 90 
 
 . 8 
 
 3 99 
 
 4 44 ^ 
 
 0 
 
 4 52 
 
 3 
 
 9 
 
 5 6 
 
 5 62 
 
 ^ — 
 
 5 64 
 
 6 27 
 
 .§ 10 
 
 6 24 
 
 6 94 
 
 
 6 88 
 
 7 65 
 
 
 7 56 
 
 8 40 
 
 
 8 27 
 
 9 >9 
 
 0 12 
 
 9 0 
 
 10 0 
 
 «» —ft 
 k. 
 
 9 76 
 
 10 85 
 
 3 13 
 
 lo 56 
 
 II 74 
 
 cr 
 
 w — 
 
 II 39 
 
 12 66 
 
 H 
 
 12 25 
 
 1 >3 6t 
 
 — 
 
 13 14 
 
 j 14 60 
 
 J 5 
 
 14 6 
 
 1 *5 62 
 
 1 2 
 
 3 
 
 4 5 
 
 ±±\ 
 
 P-| 
 
 f. p.| 
 
 1 89 
 ^3 
 
 1 3 78 1 
 
 i^;i 
 
 6 38 
 
 
 i:ii! 
 
 
 f. p. 
 
 8 3 
 S 51 
 
 9 o 
 9 5 * 
 
 f. p. 
 
 9 
 
 10 
 
 45 
 
 3 
 
 10 63 
 
 11 25 
 11 88 
 
 Length 
 
i84 The Gentleman arid Tradesman's 
 
 The Length of the Timber^ or Stone, in Feet. 
 
 12345 
 
 
 i. 
 
 f. 
 
 P- 
 
 f. 
 
 P* 
 
 f. 
 
 p-i 
 
 f. 
 
 P;] 
 
 f. p. 
 
 
 191 
 
 2 
 
 
 5 
 
 I 
 
 7 
 
 52 
 
 10 
 
 3 
 
 12 
 
 53 
 
 
 1 
 
 2 
 
 64 
 
 5 
 
 28 
 
 7 
 
 82 
 
 10 
 
 56 
 
 »3 
 
 20 
 
 (O 
 
 20 
 
 2 
 
 78 
 
 5 
 
 55 
 
 8 
 
 33 
 
 1 1 
 
 1 1 
 
 ‘3 
 
 89 
 
 0 
 
 c 
 
 
 2 
 
 9 ? 
 
 5 
 
 83 
 
 8 
 
 75 
 
 1 1 
 
 67 
 
 >4 
 
 59 
 
 k— ( 
 
 21 
 
 3 
 
 6 
 
 6 
 
 13 
 
 9 
 
 18 
 
 12 
 
 25 
 
 ^5 
 
 3 * 
 
 
 — 
 
 3 
 
 21 
 
 6 
 
 42 
 
 9 
 
 63 
 
 12 
 
 84 
 
 16 
 
 5 
 
 
 22 
 
 3 
 
 36 
 
 6 
 
 72 
 
 I.O 
 
 8 
 
 13 
 
 44 
 
 *7 
 
 58 
 
 -0 
 
 c 
 
 
 3 
 
 5 * 
 
 7 
 
 3 
 
 10 
 
 54 
 
 >4 
 
 6 
 
 18 
 
 36 
 
 vS 
 
 to 
 
 23 
 
 3 
 
 67 
 
 7 
 
 34 
 
 1 1 
 
 9 
 
 H 
 
 69 
 
 19 
 
 »7 
 
 0 
 
 
 3 
 
 83 
 
 7 
 
 67 
 
 1 1 
 
 50 
 
 *5 
 
 34 
 
 20 
 
 0 
 
 c 
 
 k-H 
 
 c 
 
 24 
 
 4 
 
 4 
 
 0 
 
 16 
 
 8 
 
 8 
 
 0 
 
 33 
 
 12 
 
 12 
 
 erv 
 
 0 G 
 
 16 
 
 16 
 
 0 
 
 66 
 
 20 
 
 21 
 
 83 
 
 70 
 
 
 2> 
 
 4 
 
 34 
 
 8 
 
 68 
 
 13 
 
 2 
 
 17 
 
 36 
 
 22 
 
 5 <^ 
 
 0 
 
 C 3 
 
 
 4 
 
 5 * 
 
 9 
 
 2 
 
 13 
 
 54 
 
 18 
 
 5 
 
 23 
 
 47 
 
 0 
 
 26 
 
 4 
 
 69 
 
 9 
 
 39 
 
 H 
 
 8 
 
 18 
 
 77 
 
 24 
 
 38 
 
 CO 
 
 v. 
 
 — 
 
 4 
 
 88 
 
 9 
 
 75 
 
 H 63 
 
 *9 
 
 51 
 
 23 
 
 3 « 
 
 0 
 
 27 
 
 c 
 
 6 
 
 10 
 
 121 
 
 15 
 
 19 
 
 20 
 
 25 
 
 zb' 
 
 '25 
 
 (U 
 
 
 5 
 
 25 
 
 10 
 
 50 
 
 15 
 
 75 
 
 2 I 
 
 0 
 
 27 
 
 22 
 
 s 
 
 28 
 
 5 
 
 44 
 
 10 
 
 89 
 
 16 
 
 33 
 
 H 
 
 78 
 
 1 28 
 
 35 
 
 
 — 
 
 5 
 
 67 
 
 1 1 
 
 33 
 
 *7 
 
 1 
 
 21 
 
 68 
 
 29 
 
 20 
 
 tr* 
 
 <u 
 
 29 
 
 5 
 
 84 
 
 1 1 
 
 68 
 
 17 
 
 52 
 
 23 
 
 3 ^ 
 
 1 30 
 
 2 1 
 
 ■ 4 -f 
 
 
 6 
 
 4 
 
 12 
 
 8 
 
 18 
 
 10 
 
 24 
 
 *7 
 
 
 25 
 
 
 30 
 
 6 
 
 25 
 
 1 2 
 
 50 
 
 18 
 
 75 
 
 25 
 
 0 
 
 32 
 
 30 
 
 0 
 
 
 6 
 
 46 
 
 1 2 
 
 92 
 
 *9 
 
 38 
 
 25 
 
 84 
 
 33 
 
 36 
 
 <n 
 
 3 ^ 
 
 6 
 
 67 
 
 13 
 
 37 
 
 20 
 
 2 
 
 26 
 
 69 
 
 1 34 
 
 45 
 
 a 
 
 cr* 
 
 
 6 
 
 89 
 
 13 
 
 73 
 
 20 
 
 67 
 
 27 
 
 56 
 
 35 
 
 55 
 
 CO 
 
 32 
 
 7 
 
 1 1 
 
 M 
 
 22 
 
 21 
 
 33 
 
 28 
 
 44 
 
 36 
 
 66 
 
 
 
 7 
 
 33 
 
 H 
 
 66 
 
 21 
 
 99 
 
 29 
 
 33 
 
 37 
 
 81 
 
 
 33 
 
 7 
 
 56 
 
 15 
 
 I 2 
 
 22 
 
 68 
 
 30 
 
 24 
 
 38 
 
 90 
 
 
 
 7 
 
 78 
 
 ^5 
 
 56 
 
 23 
 
 34 
 
 3 * 
 
 12 
 
 40 
 
 H 
 
 
 
 ( 
 
 5 
 
 7 
 
 
 8 
 
 1 
 
 9 
 
 10 
 
 
 i. 
 
 1 f. 
 
 1 
 
 P- 
 
 f. 
 
 P- 
 
 f. 
 
 P- 
 
 f. 
 
 P- 
 
 f. 
 
 P- 
 
 
 
 
 1 10 
 
 I 
 
 
 67 
 
 1 *3 
 
 34 
 
 1 
 
 I 
 
 1 
 
 68 
 
 
 16 
 
 10 
 
 67 
 
 12 
 
 44 
 
 14 
 
 22 
 
 16 
 
 0 
 
 
 7S 
 
 
 , — 
 
 
 34 
 
 I ^3 
 
 24 
 
 hs 
 
 13 
 
 
 2 
 
 1.8 
 
 9 * 
 
 
 »7 
 
 1 12 
 
 4 
 
 H 
 
 5 
 
 16 
 
 5 
 
 18 
 
 6 
 
 20 
 
 / 
 
 
 
 12 
 
 76 
 
 H 
 
 89 
 
 17 
 
 I 
 
 19 
 
 H 
 
 2 1 
 
 27 
 
 
 18 
 
 1 13 
 
 50 
 
 '5 
 
 75 
 
 18 
 
 0 
 
 20 
 
 25 
 
 22 
 
 50 
 
 Length 
 
Square of the Timber, or Stone, in Inches and half Inches 
 
 CoMPLtAT Assistant, & c . 
 
 The Length of the Timber, or Stone, in Feet, &c. 
 
 
 6 
 
 
 7 
 
 
 8 
 
 
 9 
 
 
 10 
 
 i. 
 
 f. 
 
 
 f. 
 
 P- 
 
 f. 
 
 P- 
 
 f. 
 
 P* 
 
 f. 
 
 P- 
 
 
 H 
 
 26 1 
 
 16 
 
 64 
 
 19 
 
 I 
 
 21 
 
 39 
 
 23 
 
 77 
 
 19 
 
 *5 
 
 4 
 
 17 
 
 55 
 
 20 
 
 5 
 
 22 
 
 56 
 
 25 
 
 7 
 
 — 
 
 «5 
 
 64 
 
 18 
 
 49 
 
 21 
 
 *3 
 
 23 
 
 77 
 
 26 
 
 41 
 
 20 
 
 16 
 
 671 
 
 19 
 
 40 
 
 22 
 
 22 
 
 
 0 
 
 27 
 
 78 
 
 — 
 
 17 
 
 
 20 
 
 42 
 
 23 
 
 34 
 
 26 
 
 26 
 
 29 
 
 18 
 
 2 1 
 
 18 
 
 37 
 
 2 f 
 
 43 
 
 24 
 
 49 
 
 27 
 
 56 
 
 30 
 
 62 
 
 — 
 
 *9 
 
 26 
 
 22 
 
 47 
 
 25 
 
 68 
 
 28 
 
 89 
 
 32 
 
 10 
 
 22 
 
 20 
 
 .6 1 
 
 23 
 
 53 
 
 26 
 
 89 
 
 3 «> 
 
 25 
 
 33 
 
 61 
 
 — 
 
 21 
 
 9 . 
 
 24 
 
 61 
 
 28 
 
 *3 
 
 31 
 
 64 
 
 35 
 
 23 
 
 22 
 
 4 
 
 25 
 
 7 * 
 
 29 
 
 
 33 
 
 6 
 
 36 
 
 73 
 
 
 23 
 
 • 1 
 
 26 
 
 84 
 
 30 
 
 68 
 
 H 
 
 5 * 38 
 
 35 
 
 24 
 
 24 
 
 6 
 
 28 
 
 0 
 
 32 
 
 
 36 
 
 0 
 
 40 
 
 0 
 
 
 24 
 
 99 
 
 29 
 
 16 
 
 33 
 
 33 
 
 37 
 
 49 
 
 41 
 
 66 
 
 25 
 
 26 
 
 4 
 
 30 
 
 38 
 
 34 
 
 76 
 
 39 
 
 2 
 
 43 
 
 40 
 
 
 27 
 
 
 3 * 
 
 59 
 
 36 
 
 10 
 
 40 
 
 62 
 
 
 *3 
 
 26 
 
 28 
 
 i6| 
 
 1 32 
 
 86 
 
 37 
 
 55 
 
 42 
 
 24 
 
 46 
 
 94 
 
 
 29 
 
 25 1 
 
 i 
 
 H 
 
 39 
 
 1 
 
 43 
 
 89 
 
 48 
 
 77 
 
 27 
 
 30 
 
 38 
 
 35 
 
 44 
 
 40 
 
 50 
 
 45 
 
 57 
 
 50 
 
 63 
 
 
 3 * 
 
 50 1 
 
 36 
 
 75 
 
 42 
 
 0 
 
 47 
 
 25 
 
 52 
 
 5 <^ 
 
 28 
 
 32 
 
 67 
 
 1 38 
 
 1 1 
 
 43 
 
 56 
 
 49 
 
 0 
 
 54 
 
 45 
 
 — 
 
 34 
 
 2 
 
 1 39 
 
 69 
 
 .45 
 
 36 
 
 5 » 
 
 3 
 
 56 
 
 70 
 
 29 
 
 
 4 
 
 40 
 
 88 
 
 46 
 
 72 
 
 52 
 
 
 c8 
 
 40 
 
 — 
 
 36 
 
 26 
 
 42 
 
 30 
 
 48 
 
 34 
 
 
 39 
 
 60 
 
 43 
 
 30 
 
 37 
 
 50 
 
 43 
 
 75 
 
 50 
 
 0 
 
 56 
 
 25 
 
 62 
 
 50 
 
 
 38 76 
 
 45 
 
 22 
 
 5 * 
 
 68 
 
 58 
 
 H 
 
 64 60 
 
 3 * 
 
 40 
 
 4 
 
 I46 
 
 71 
 
 53 
 
 38 
 
 60 
 
 6 
 
 66 
 
 73 
 
 
 41 
 
 34 
 
 148 
 
 23 
 
 55 
 
 12 
 
 6z 
 
 i 
 
 68 
 
 90 
 
 32 
 
 42 
 
 66 
 
 49 
 
 78 
 
 56 89 
 
 63 
 
 99 
 
 7 * 
 
 1 1 
 
 
 43 
 
 99 
 
 
 33 
 
 
 66 
 
 65 
 
 99 
 
 73 
 
 33 
 
 
 45 
 
 37 
 
 52 
 
 93 
 
 60 
 
 49 
 
 68 
 
 0 
 
 75 
 
 62 
 
 
 46 
 
 68 
 
 1 54 
 
 46 
 
 62 
 
 24 
 
 70 
 
 2 
 
 78 
 
 80 
 
 H 
 
 48 
 
 17 
 
 |56 
 
 *9 
 
 64 
 
 22 
 
 72 
 
 25 
 
 80 
 
 28 
 
 
 49 
 
 58 
 
 57 
 
 48 
 
 66 
 
 10 
 
 |74 
 
 37 
 
 82 
 
 63 
 
 35 
 
 5 » 
 
 4 
 
 59 
 
 55 
 
 68 
 
 5 1 76 56 
 
 85 
 
 7 
 
 
 52 
 
 50 
 
 
 25 
 
 70 
 
 0 
 
 I 7 » 
 
 75 
 
 87 
 
 50 
 
 36 
 
 54 
 
 0 
 
 1 63 
 
 0 
 
 72 
 
 0 
 
 1 Si 
 
 0 
 
 90 
 
 0 
 
 185 
 
i86 ‘The Gentleman and Tradesman’s 
 
 An Explanation of the laft Table. 
 
 This Table confilleth of ii columns; in 
 the firft whereof, that towards the left hand, 
 having the word inches at the top, or head 
 thereof, beginning with a — , reprefenting half 
 an inch; then the figure i, which is one inch; 
 then again — , fignifying half an inch more, 
 and fo downwards by half inches to i8 inches, 
 ftiewing the fide of the fquare of any fquared 
 timber, or flone; and in the other lo columns, 
 at the heads of them, i, 2, 3, 4, &c. to 10, 
 they leprefent the length of any timber, tree, 
 ftone, &c. in feet; io that if you find the 
 length of the fide of the fquare in inches and 
 half inches in the firfl: column, and the length 
 of fuch timber or ftone in feet (at the head of 
 the table) in the fquare, (or meeting of thefe 
 two numbers) you have the content of feet con- 
 tained in that ftone or timber, obferving, that 
 the table begins at half an inch ; and fo conti- 
 nues by half inches to 36 inches, the fide of the 
 fquare; and from 1 foot to 10 feet in length, 
 by examples. 
 
 EXAMPLE I. 
 
 If the fide of the fquare, at the end of any 
 timber or ftone, be 15 inches, and the length 
 thereof 5 feet, how many feet are there in the 
 ftone, or timber log ? 
 
 Find 15 inches in tlie firft column of the ta- 
 ble ; and right againft it, under 5 feet, the length, 
 you lhal! find 7, 81, which is 7 feet and 81 
 
 hundred 
 
CoMPLEAT Assistant, & c . 187' 
 
 hundred parts of a foot ; for 25 parts is a quarter 
 of a foot ; 50 parts, half a foot, and 75 parts 
 three quarters of a foot ; fo that in this ftone, or 
 timber, there are 7 feet, and above three quar- 
 ters. 
 
 Thus, by feet and inches, 
 
 f. i. 
 
 Side of the fquare at the end i 3 
 
 L-l 
 
 I 3 
 
 o_3 
 
 Square of the end i 6 
 Multiplied by 
 
 P- 
 
 9 
 
 9 
 
 5 length 
 
 Feet 799 anfw. 
 
 EXAMPLE II. 
 
 If the fquare of a timber tree be 17 inches 
 and an half, and the length thereof be 9 feet, 
 how many feet are contained therein ? 
 
 Look for 17 inches and an half in the firft 
 column ; againft which, in the column of 9 feet, 
 you have 9, 14, that is, 19 feet, and 14 hun- 
 dred parts of a foot, which is about half a 
 quarter of a foot. 
 
 See the work in the following page. 
 
'i88 ’The Gentleman and Tradesman’s 
 
 Square of the tree 
 
 f. i. p. 
 
 I 5 6 
 
 I 5 6 
 
 1 
 
 I 5 6 
 
 736, 
 
 890 
 
 jCont. of end, fquar’d, f. 
 
 21630 
 
 9 length 
 
 Content 
 
 19 ? 8 3 0 anfwer 
 
 EXAMPLE III. 
 
 If a piece of timber, or ftone, be 30 inches 
 fquare, and 10 feet long, how many feet are there 
 in that piece ? 
 
 Find 30 inches, the breadth, in the firft co- 
 lumn; and againft it, under 10 feet, the length, 
 you will find 62 feet 50 parts; and ib many feet 
 doth the piece contain. 
 
 Square 30 inches 
 
 3Q 
 
 Prpdudl 900 the end 
 
 IQ length 
 — — 12 
 
 12)9000(750(62 feet 6 inches 
 84 72 anfwer 
 
CoMPLEAT Assistant, & c . 189 
 
 EXAMPLE IV. 
 
 If tlie fqmre of a timber tree be 27 inches, 
 and tile Icns'ih tiieieof 18 feet, how many folid 
 feet are tiicrc in that tree? 
 
 Recaufe the table goeth but to 10 feet in 
 length, and this tree is 18 feet longj therefore, 
 as you did before in Board Meafure, take half 
 the length thereof, which is 9 feet j then finding 
 27 inciies, rhe fquare, in the firft column, and 
 right againft it, under 9 feet, you will find 45 
 feet 57 parts ; and fo many feet would the tree 
 have contained, if it had been but 9 feet long j 
 but being 18 feet long, it muft contain as much 
 more, that is, 91 feet and 14 parts (which is 
 half a quarter of a foot); and thus, if the tree 
 be very long, as 30, 40, 50 feet, &c. you may 
 take fo many times 10 feet, as there are tenths in 
 its length, and the odd feet by themfelves, and 
 add all together; fo a timber tree being 3 1 inches 
 fquare, and 47 feet long, will be found by this 
 table to contain 313 feet 62 parts, that is, half 
 a quarter above half a foot. 
 
 Fourth 
 
190 Gentleman Tradesman's 
 Fourth Example by Feet and Inches. 
 
 f. J. 
 
 Square of the tree 2 3 
 
 2 $ 
 
 Multiply by Feet 
 
 069 
 
 4 6 
 
 Produifl 
 
 509. 
 
 9 times 2 is 18, length 
 
 Produdl by 9 
 
 45 6 9 
 
 2 
 
 Content in feet 
 
 91 I 6 anfwer as per table. 
 
 The laft Example, 
 f. i. 
 
 Square of the tree 2 7 
 
 2 7 
 
 I 6 I 
 
 5 2 
 
 fquar’d, is 
 
 6 8 I 
 
 7 times 6 is 42, 
 
 Produft by 7 
 
 46 8 7 and 5 
 
 6 is 47 
 
 Ditto by 42 
 
 280 3 6 
 
 33 4 5 for 5 over 
 
 Content 
 
 313 7 II anfwer. 
 
CoMPLEAT Assistant, & c . I91 
 
 N. B. In the examples beforegoing, we have 
 fuppofed the tree or ftone we meafured, to carry 
 the fame fquare from end to end, throughout 
 the pieces but we fee, that in all or moft trees, 
 (efpecially if they are very long) there is a great 
 difference between the fquares of each end of 
 the tree wherefore, Workmen and other Mea- 
 furers do, for the moft part, make choice of 
 fome convenient place in the middle of the tree, 
 and take the fquare thereof for the true (except 
 by chance) ; therefore, in fuch timber trees, 
 meafure the fquares at both ends, and add the 
 fides of thofe two fquares together, and half that 
 length will be the true fquare which the tree 
 will carry throughout: thus. If a timber tree 
 have the fide of the fquare at the great end, 32 
 inches, and at the leffer end, 23 inches, thefe 
 two added together will make 55 inches, the 
 half whereof is 27 inches and an half, and that 
 is the true fide of the fquare, with which, and 
 the length by the tabic, you may find the con- 
 tent, as is before taught. 
 
 A 
 
igz ^he Gentleman and Tradesman*^ 
 
 A Table, (hewing, at one view, the number 
 of Squares contain’d in any number of Feet, 
 from 120 to 890, by infpedion, which, with 
 the help of Addition only, to any higher 
 number required* 
 
 No. of 
 feet 
 
 fquares 
 and feet 
 therein 
 fq. f. 
 
 120 
 
 1 
 
 20 
 
 130 
 
 I 
 
 30 
 
 J4O 
 
 I 
 
 40 
 
 150 
 
 1 
 
 50 
 
 160 
 
 I 
 
 60 
 
 170 
 
 I 
 
 70 
 
 180 
 
 I 
 
 80 
 
 190 
 
 I 
 
 90 
 
 200 
 
 2 
 
 
 210 
 
 2 
 
 10 
 
 220 
 
 2 
 
 20 
 
 230 
 
 2 
 
 30 
 
 240 
 
 2 
 
 40 
 
 250 
 
 2 
 
 50 
 
 260 
 
 2 
 
 60 
 
 270 
 
 2 
 
 70 
 
 280 
 
 ? 
 
 80 
 
 290 
 
 2 
 
 90 
 
 30O 
 
 3 
 
 
 . 3*0 
 
 3 
 
 10 
 
 320 
 
 3 
 
 20 
 
 330 
 
 3 
 
 30 
 
 340 
 
 3 
 
 40 
 
 350 ' 
 
 i 3 
 
 
 360 
 
 3 
 
 I 60 
 
 370 
 
 1 3 
 
 1 70 
 
 No. of 
 feet 
 
 fquares 
 and feet 
 therein 
 
 fq. f. 
 
 380 
 
 3 
 
 80 
 
 390 
 
 3 
 
 90 
 
 400 
 
 4 
 
 
 410 
 
 4 
 
 10 
 
 420 
 
 4 
 
 20 
 
 430 
 
 4 
 
 30 
 
 440 
 
 4 
 
 40 
 
 450 
 
 4 
 
 
 460 
 
 4 
 
 60 
 
 470 
 
 4 
 
 70 
 
 480 
 
 4 
 
 80 
 
 490 
 
 4 
 
 90 
 
 500 
 
 5 
 
 
 510 
 
 5 
 
 10 
 
 520 
 
 5 
 
 20 
 
 530 
 
 5 
 
 30 
 
 540 
 
 5 
 
 40 
 
 550 
 
 5 
 
 50 
 
 560 
 
 5 
 
 60 
 
 570 
 
 S 
 
 70 
 
 580 
 
 5 
 
 80 
 
 590 
 
 5 
 
 90 
 
 600 
 
 6 
 
 1 
 
 610 
 
 1 6 
 
 10 
 
 620 
 
 6 
 
 20 
 
 630 
 
 6 
 
 30 
 
 No. of 
 feet 
 
 fquares 
 and feet 
 therein 
 fq. f. 
 
 640 
 
 6 
 
 40 
 
 650 
 
 6 
 
 50 
 
 660 
 
 6 
 
 60 
 
 670 
 
 6 
 
 70 
 
 680 
 
 6 
 
 80 
 
 690 
 
 6 
 
 90 
 
 700 
 
 7 
 
 
 710 
 
 7 
 
 10 
 
 720 
 
 7 | 
 
 20 
 
 730 
 
 7 
 
 30 
 
 740 
 
 7 
 
 40 
 
 750 
 
 7 
 
 50 
 
 760 
 
 7 
 
 60 
 
 770 
 
 7 
 
 70 
 
 780 
 
 7 
 
 80 
 
 790 
 
 7 
 
 1 90 
 
 800 
 
 8 
 
 1 
 
 1 
 
 810 
 
 8 
 
 10 
 
 820 
 
 8 
 
 I20 
 
 830 
 
 8 
 
 1 30 
 
 840 
 
 8 
 
 40 
 
 850 
 
 8 
 
 50 
 
 860 
 
 8 
 
 60 
 
 870 
 
 8 
 
 I70 
 
 880 
 
 8 
 
 j 80 
 
 890 
 
 8 
 
 I90 
 
 The ufe of the above Table is this: Suppofs 
 your content (after the fquaring any dimenfions) 
 (hould be 620 feet, and you were dehrous to 
 know how many fquares were therein contain’d, 
 look for your number of feet in the table, num- 
 
Compleat Assistant, &c. 193 
 
 bcrs, and oppofite which, you will find 6 fquare^ 
 and 20 feet remaining, which is equal to i-5th 
 part of one fqnare more : this being fo eafy, 
 fhall think it unneceffary to give any other ex- 
 ample ; and notwithflanding this table is conti- 
 nued no farther than to 890 feet, it may be fiif- 
 ficient to enable any perfon whatfoever to find 
 the fquares in any higher numbers, if but duly 
 obferving the dircftion given, (together with the 
 examples at large) for finding the fame at the 
 beginning of this book, which, for memory 
 fake, (hall give an example or two in this place, 
 and fo conclude: thus, Suppofe then, 3760 
 feet were given, to find the number of fquares 
 therein; — cut the two laft figures, next the right 
 hand, off, with a dafh of your pen or pencil, 
 thus, 37I60, and the figures 37, next the left 
 hand, are the fquares therein ; and the 60, next 
 the right hand, are the remaining feet; and this 
 is all you have to remember, in any number 
 whatfoever required : thus again, fquares, 
 1234I 56 feet. 
 
 C c 
 
 A 
 
194 Gentleman aitd Tradesman’s 
 
 A Table, {hewing, at one view, the number 
 of fquare yards contain’d in any intermediate 
 numbers of feet, from i8 to 1737. 
 
 of 
 
 feet 
 
 fq. yds. 
 
 SIo. of 
 feet j 
 
 fq yds. 
 
 No. of 
 feet j 
 
 . 1 
 
 fqyd 
 
 No. of 
 feet j 
 
 rq.yd 
 
 18 
 
 2 
 
 243 
 
 27 1 
 
 468 
 
 52 
 
 093 1 
 
 77 
 
 2 J 
 
 3 
 
 252 
 
 28 
 
 477 
 
 53 
 
 702 
 
 78 
 
 36 
 
 4 
 
 261 
 
 29 1 
 
 486 
 
 54 
 
 711 j 
 
 79 
 
 45 
 
 5 
 
 270 
 
 30 1 
 
 495 
 
 55 
 
 720 ' 
 
 8q 
 
 5 !- 
 
 6 
 
 279 
 
 31 
 
 504 
 
 56 
 
 *29 ; 
 
 8i 
 
 63 
 
 1 
 
 288 
 
 32 
 
 5*3 
 
 57 
 
 h ; 3 8 I 
 
 82 
 
 72 
 
 8 ^ 
 
 2 97 
 
 33 
 
 522 
 
 58 
 
 747 
 
 83 
 
 81 
 
 9 
 
 306 
 
 34 
 
 53 * 
 
 59 
 
 756 
 
 84 
 
 90 
 
 10 
 
 3*5 
 
 35 
 
 540 
 
 60 
 
 765 
 
 85 
 
 99 
 
 1 1 
 
 324 
 
 36 
 
 549 
 
 6 1 
 
 774 
 
 86 
 
 108 
 
 1 2 
 
 333 1 
 
 1 57 
 
 558 
 
 62 
 
 783 
 
 87 
 
 117 
 
 *3 
 
 342 1 
 
 38 
 
 567 
 
 63 
 
 792 
 
 88 
 
 126 
 
 H 
 
 
 39 
 
 576 
 
 64 
 
 801 
 
 89 
 
 ^35 
 
 ^5 
 
 360 
 
 40 
 
 585 
 
 ^5 
 
 810 
 
 9Q 
 
 144 
 
 j6 
 
 369 
 
 4 * 
 
 594 
 
 66 
 
 819 
 
 9 * 
 
 ^53 
 
 *7 
 
 37S 
 
 42 
 
 603 
 
 67 
 
 828 
 
 92 
 
 162 
 
 18 
 
 387 
 
 43 
 
 6i 2 
 
 68 
 
 837 
 
 93 
 
 171 
 
 *9 
 
 396 
 
 44 
 
 62 1 
 
 69 
 
 8.|6 
 
 94 
 
 1 So 
 
 20 
 
 405 
 
 45 
 
 630 
 
 70 
 
 855 
 
 95 
 
 1 89 
 
 2 1 
 
 414 
 
 46 
 
 639 
 
 7 * 
 
 864 
 
 96 
 
 198 
 
 22 
 
 423 
 
 47 
 
 648 
 
 72 
 
 873 
 
 97 
 
 207 - 
 
 23 
 
 432 
 
 48 
 
 657 
 
 73 
 
 882 
 
 98 
 
 216 
 
 24 
 
 441 
 
 49 
 
 666 
 
 74 
 
 89: 
 
 99 
 
 223 
 
 
 450 
 
 50 
 
 675 
 
 75 
 
 900 ■ 
 
 100 
 
 ^34 
 
 1 26 
 
 459 
 
 5 * 
 
 684 
 
 76 
 
 909 
 
 101 
 
 Note. That on the head of the table, the firfi: 
 column is (number of feet) ; the next is (fquare 
 yards); the next is, alfo (number of feet); then 
 (fquare yards), and fo on to the lait column on 
 the oppofjce page, 
 
CompleAt Assistant, &c. '7 " 
 
 Table cohrinued. 
 
 Ko. of 
 feet 
 
 } 
 
 f 
 
 Cu 
 
 1 ^ 
 
 No. of 
 feet 
 
 fq.yds. 
 
 No. of 
 feet 
 
 fq. yds 
 
 f No. of 
 feet 
 
 fq. yds, 
 
 918 
 
 102 
 
 1 1 25 
 
 125 
 
 •332 
 
 148 
 
 1539 
 
 171 
 
 927 
 
 105 
 
 1134 
 
 I 26 
 
 1341 
 
 149 
 
 i<;48 
 
 172 
 
 936 
 
 104 
 
 1143 
 
 127 
 
 1350 
 
 150 
 
 1557 
 
 173 
 
 94 ? 
 
 105 
 
 1152 
 
 128 
 
 1359 
 
 151 
 
 I 566 
 
 174 
 
 9?4 
 
 106 
 
 1 161 
 
 1 29 
 
 I 368 
 
 152 
 
 15750 
 
 17? 
 
 963 
 
 107 
 
 1170 
 
 130 
 
 1373 
 
 153 
 
 1584 
 
 176 
 
 972 
 
 108 
 
 1179 
 
 •31 
 
 1386 
 
 154 
 
 1593 
 
 177 
 
 981 
 
 109 
 
 1188 
 
 132 
 
 1395 
 
 >55 
 
 1602 
 
 178 
 
 990 
 
 I 10 
 
 1197 
 
 133 
 
 1404 
 
 156 
 
 i6j I 
 
 179 
 
 999 
 
 I 1 f 
 
 I 2D6 
 
 134 
 
 1413 
 
 157 
 
 1 620 
 
 1 80 
 
 1008 k 
 
 I 12 
 
 1215 
 
 135 
 
 1422 
 
 >58 
 
 1629 
 
 181 
 
 1017 
 
 **3 
 
 I 224. 
 
 .36 
 
 1431 
 
 •59 
 
 1 638 
 
 182 
 
 1026 
 
 114 
 
 1233 
 
 137 
 
 J440 
 
 I 60 
 
 1647 
 
 183 
 
 *035 
 
 II? 
 
 1242 
 
 13B 
 
 1449 
 
 I6I 
 
 1656 
 
 184 
 
 J044 
 
 1 16 
 
 125 1 
 
 139 
 
 1458 1 
 
 i 162 
 
 1665 
 
 185 
 
 1053 
 
 117 
 
 1 260 
 
 140 
 
 1467 
 
 163 
 
 1674 
 
 186 
 
 1062 
 
 118 
 
 1269 
 
 141 
 
 1476 1 
 
 164 
 
 1683 
 
 187 
 
 1071 
 
 119 
 
 1 278 
 
 142 
 
 1485 
 
 165 
 
 1 692 
 
 188 
 
 1080 
 
 1 20 
 
 1 287 
 
 143 
 
 1494 
 
 166 
 
 17CI 
 
 189 
 
 1089 
 
 121 
 
 1 296 
 
 144 
 
 1503 
 
 167 
 
 1710 
 
 190 
 
 1098 • 
 
 122 
 
 1305 
 
 145 
 
 1512 1 
 
 168 
 
 1719 
 
 191 
 
 J 107 
 
 123 
 
 1314 
 
 146 
 
 1521 1 
 
 169 
 
 1728 
 
 192 
 
 1 1 16 
 
 124 
 
 1323 
 
 147 
 
 1550 1 
 
 J7O 
 
 1737 
 
 193 
 
 The Ufe and Explanation of the laft Table,. 
 
 EXAMPLE. 
 
 Suppofe the fqnare of any dimenfion In feet 
 be 738, how many yards fquare are in thac 
 number? 
 
 Look In the Table, under thefe Words 
 (number of Feet), for the neareft number 
 
 C c 2 thereto 
 
to/ Gentleman ajtd Tradesman's 
 
 thereto (which here, h, you find the exadl num- 
 ber); and in the next column of figures, under 
 thefe words at top (number of fquare yards), 
 oppofite your faid number 738, you will find 
 82, the fquare yards therein contain'd. 
 
 The Proof by Divifion. 
 
 feet in a fquare yard 9)738(82 fquare yards 
 
 18 
 
 18 
 
 By this example, you may find any nurnber 
 of fquare yards, not exceeding 1737, the extent 
 of this table ; and for any higher numbers, you 
 may, by pradice, eafily find, by doubling any 
 two numbers in the table, fo as to make your 
 number requir’d, and add the produdis toge- 
 ther, which will give you the true number of 
 fquare yards therein : one example may be fuffi- 
 cient, which fuppofe 3460 feet fibould be requir’d, 
 wherein to find the fquare yards? 
 
 Firft then, I feek in the table as above dl- 
 reded, for jooo, or the neareft number thereto, 
 which here, k, I find 10083 oppofite which, I 
 find 1 12 fquare yards; and whereas, I find my 
 number will admit of 3 times as much, being 
 3000 and upwards, I triple 1008, which make 
 3024 feet. 
 
 Thus; 
 
CoMPLEAT Assistant, & c » 197 
 
 Thus, by Addition ; then triple the fquare yards 
 
 1008 112 
 1008 112 
 1008 112 
 
 feet 3024 
 
 336 fquare yards therein 
 
 and you will find 336 to be contain’d in 3024 
 feet; then, by Subtradion, I find the feet re- 
 maining thus: 
 
 3460 the given number, feet 
 3024 feet colleded from the table 
 
 Difference .436 or feet wanting 
 
 then feeking this number In the table, I find the 
 neareft to be 432 ; the fquare yards contain’d in 
 which, I find 48, which being added to 
 
 make 384 fquare yards, and, 4 feet over 
 
 and fo many fquare yards are contained in 3460 
 feet. 
 
 See 
 
198 T’he Gentleman and Tradesman’s 
 
 See the proof by Divifion. 
 
 9)3460(384 proof 
 27 
 
 • 76 
 7 ^ 
 
 40 
 
 36 
 
 This example may perhaps feem difficult, but 
 practice will render it very eafy. 
 
 
 THE 
 
THE 
 
 Gentleman and Tradefman’s 
 
 CoMPLEAT Assistant, &^ c . 
 
 ' PART HL 
 
 CHAP. I. 
 
 Of Meafuring Superficies^ 
 
 I T Is very neccliary for him that intends to be 
 an Artift in Meafuring, (fuppofing of what 
 Jcind foever) to begin with Arithmetic, as it 
 is the ground-work and foundation of all Arts 
 and Sciences, mathematical ; and at leaft not to 
 be ignorant of the five firfl and principal Rules 
 thereof, viz. Numeration, Addition, Subtradlion, 
 Multiplication, and Divifion, v^hich I hope 
 every perfon that applies himfelf to the ftudy of 
 this Art, to be Ikilled in ; or, if nor, I would 
 refer him to Books or Masters, thereby to be 
 properly inftrudted. 
 
 Thera 
 
^00 T^he Gentleman and Tradesman’s 
 
 There is alfo a Sixth Rule as neceffary (if not 
 more) to be underftood by the learner, which is, 
 the Extraction of the SQUARE ROOT 5 
 without which, no perfon can well attain to a 
 competent knowledge in this Art ; I (hall not, 
 therefore, think it unworthy my pains, to (hew 
 how it may be performed both with eafe and 
 brevity. 
 
 Explanation of the Square Root. 
 
 To find the Square Root, is to find out of any 
 number propounded, a lelTer number; which 
 faid number being multiplied in itfelf, may pro- 
 duce the number propounded. 
 
 As for Example : 
 
 Suppofe 81 be a number given to be extraded, 
 I fay 9 is the root of it; becaule 9, muliiplied 
 in itfelf, viz. 9 times 9 produces 81, ihe given 
 number; now it may be necelTary to (hew, vv^hy 
 another figure, as 8 or 10, (hould not be the 
 fquare root of 81, as well as 9 ; which fuppofe, 
 for example, 8 were tried, which could not he 
 the root, becaufe 8 times 8 is but 64, v/hich is 
 too little; and 10 times 10 is 100, which is too 
 much; therefore, I fay, 9 muft needs be the 
 root, becaufe multiplied in itfelf, makes neither 
 more nor lefs, but juft the number propounded, 
 or given, to be extraded, viz. 81. 
 
 Again, 
 
CoMPLEAT Assistant, & c : 201 
 
 contain 4 
 Square Root. 
 
 ^ Again, Suppofe 16 be 
 
 the number given, I fay 
 the root of it is 4, becaufe 
 4, multiplied in itfelf, 
 4 makes 16, which, for 
 your better underftanding, 
 fee the figure, being a 
 great fquare, containing 
 < 16 little fquares ; any fide 
 
 of which great fquare, 
 little fquares, which is call’d the 
 
 Or fuppofe a plain fquare figure 
 be given you, as in the margin, 
 and it be required of you to divide 
 it into 9 fmali fquares, your bufi- 
 nefs is to know, into how many 
 parts to divide any one of the fide 
 lines, which here muft be into 3, and that is 
 the Root required : but how to do this with eafe 
 and expedition, in any number given to be fo 
 cxtraded, is what I fliall, in the next place, ex- 
 plain to the meanefi: capacity. 
 
 The roots of all fquare numbers under 144, 
 you have in your Multiplication table; but for 
 the greater convenience of all young Arithme- 
 ticians, and others, not acquainted with the 
 general Rule or Method of extradling the Square 
 Root, I have calculated a Table, in which the 
 Roots of all given fquare numbers, regularly 
 arifing from i to 10000, are already exrraded, 
 and alfo prefixed to each refpedive number 
 thereunto belonging, as here follows ; 
 
 D d 
 
 Roots 
 
202 T'he Gentleman and Tradesman’s 
 
 The Table. 
 
 Roots 
 
 I 1 
 
 2 
 
 3 
 
 4 
 
 5 
 
 6 
 
 Squares 
 
 • 1 
 
 4 
 
 9c 
 
 i6d 
 
 25 e 
 
 3 ^ 
 
 Roots 
 
 13 
 
 14 
 
 *5 
 
 16 
 
 17 
 
 j8 
 
 Squares 
 
 169 g 
 
 196 
 
 225 
 
 256 
 
 289 
 
 324 
 
 Roots 
 
 25 
 
 26 
 
 27 
 
 28 
 
 29 1 
 
 30 
 
 Squares 
 
 625 
 
 676 
 
 729 
 
 78+ 
 
 841 
 
 900 
 
 Roots 
 
 37 
 
 38 
 
 39 
 
 40 
 
 4 J 
 
 42 
 
 Squares 
 
 1369 
 
 1444 a 
 
 1521 
 
 1600 
 
 1681, 
 
 1764 
 
 Roots 
 
 49 
 
 50 
 
 
 52 
 
 53 
 
 54 
 
 Squares 
 
 2401 
 
 2500 
 
 2601 
 
 2704 
 
 2809 
 
 2916 
 
 Roots 
 
 6 1 
 
 62 
 
 63 
 
 64 
 
 65 
 
 66 
 
 Squares 
 
 1721 
 
 384+ 
 
 3969 
 
 4096 
 
 4225 
 
 4356 
 
 Roots 
 
 1 
 
 ‘ 74 
 
 1 75 
 
 76 
 
 I 77 • 
 
 1 78 
 
 Squares 
 
 I S-329 
 
 547 ‘> 
 
 I5625 
 
 1 5776 
 
 15929 
 
 1 6084 
 
 Table continued. 
 
 Roots 
 
 7 
 
 8 
 
 9 
 
 10 
 
 II 
 
 12 
 
 Squares 
 
 49 
 
 64 
 
 81 
 
 100* 
 
 121 
 
 '44 
 
 Roots 
 
 '9 
 
 20 
 
 21 
 
 22 
 
 23 
 
 24 f 
 
 Squares 
 
 3 f>i 
 
 400 
 
 . i 
 
 441 
 
 484 1 
 
 529 
 
 576 
 
 Roots 
 
 31 
 
 32 1 
 
 33 
 
 34 
 
 35 
 
 36 
 
 Squares 
 
 96 I 
 
 1024 ] 
 
 1089 
 
 1156 1 
 
 1225 
 
 1296 b 
 
 Roots 
 
 43 
 
 44 1 
 
 45 
 
 46 
 
 47 
 
 48 
 
 Squares 
 
 1849 
 
 I 
 
 i '936 j 
 
 1 2025 
 
 21 16 
 
 2209 
 
 2304 
 
 Roots 
 
 55 
 
 56 
 
 1 
 
 58 
 
 59 
 
 60 
 
 Squares 
 
 3025 
 
 3136 
 
 1 3249 
 
 3364 
 
 3481 
 
 3600 
 
 Roots 
 
 67 
 
 68 
 
 1 69 
 
 70 
 
 7 ' 
 
 72 
 
 Squares 
 
 .4489 
 
 4624 
 
 1 4761 
 
 4900 
 
 5C41 
 
 51S4 
 
 Roots 
 
 79 
 
 80 
 
 1 0 , 
 
 1 81 
 
 82 
 
 S3 
 
 84 
 
 Squares 
 
 6241 
 
 6400 
 
 16561 
 
 I6724 
 
 6889 
 
 7056 
 
 The 
 
CoMPLEAT Assistant, 
 
 The Table concluded. 
 
 Roots 
 
 85 
 
 86 
 
 87 
 
 881 
 
 1 89 
 
 90 
 
 91 
 
 Squares 
 
 7225 
 
 7396 
 
 7569 
 
 7744 
 
 7921 
 
 8 \ 00 
 
 8281 
 
 ) 
 
 Roots j 
 
 1 ■ ■ 1 
 
 1 
 
 93 
 
 94 
 
 95 
 
 96 
 
 97 l 98 
 
 Squares | 
 
 1 8464 
 
 8549 
 
 8836 
 
 9025 
 
 9216 
 
 1 
 
 9409 
 
 19604 
 
 Roots 
 
 i 99 
 
 100 
 
 
 
 1 
 
 1 
 
 I 
 
 1 
 
 1 
 
 . Squares 1 
 
 1 9801 
 
 lOOOO 
 
 
 
 1 
 
 1 
 
 1 
 
 Explanation of the above Table. 
 
 Suppofe the number given to find the fquare 
 root of, be 1444; fcek for the number in the 
 table, in the line of figures, facing, or oppofite 
 the word fquares (looking crofs-ways the book); 
 and when you have found the faid number (or 
 neareft thereto nor exceeding), you will find the 
 root for fuch number, in the very next fquare, 
 exactly above it, as here, a, you find the exad: 
 number 1444 given, and its root above it, 38, 
 in the line of roots. This example may be Juf- 
 ficient CO inftrudl any perlon how to find the 
 root, in all fuch number of fquares as fall within 
 compafs of this table; but whereas it will hap- 
 pen, that fometimes the number given to find 
 the fquare root of, cannot be exadly found in 
 the table, it will be necefifary to give the reader 
 an example thereof; which fuppofe it were re- 
 quired to extradh the fquare root of 1320, which 
 faid number is not to be found exadtly in the ta- 
 ble, therefore you mud feek for the neareft, not 
 exceeding, which b, here, you find to be 1296, 
 the root of which is 36 ; but whereas a fmall 
 value is here loft in the remainder, it will be 
 
 D d 2 necefifary 
 
204 T’he Gentleman and Tradesman’s 
 
 neceffary to obferve the following method to 
 obtain it, thus, find the deficiency by Subtrac- 
 tion, thus : 
 
 the given number is . 1320 
 
 the neareft number is 1 296 as per table 
 
 the number deficient • • 24 or difference 
 
 now to find the value of this difference remain-, 
 ing, obferve the following rule: Subtract: the 
 table, number 1296, from the next fucceeding 
 number, which is 1369, and the difference is 
 equal to a unit, or i, in the root, thus, 
 
 1369 
 
 1296 
 
 difference • ^ 73 equal to a unit, or 1 5 
 
 therefore, the deficient number, 24, as above^^ 
 being compared therewith, or divided thus;^ 
 
 24)73(3 equ^i I -3d. 
 
 ZL 
 
 I 
 
 gives i-3d. of a unit more, to be added to the 
 root, fo that 36 x-3d. is the fquare root of 1320^; 
 which fuppofe were feet, the fquare root would 
 be 36 feet, 4 inches, equal to l-3d. of an inte- 
 ger, which here is i foot. 
 
 This laft example is worthy of due obferva- 
 tion, as all thpfe unequal numbers, which can- 
 not be exadly obtained by the table, will admit 
 of fome remainders, which by this method, the 
 value thereof may be obtained {o the neareft 
 
 truth i 
 
CoMPLEAT Assistant, &cl 205 
 
 truth ; and though perhaps it may to thofc (ra^ 
 thci d -ficienc in the ufe of figures) feem difficult, 
 yet a little pradlice, with due obfervation, will 
 render it very eufy. 
 
 As to thofe already acquainted with the me-- 
 thod of extraefing the Square Root arithmetically, 
 it is done witn plealure^ but to attempt explain- 
 ing ic in tbivS place, to rhofe deficient, it would 
 only be rather confounding them, than other- 
 wife, therefore lhal 5 refer them to the ufe pf the 
 table, which I have calculated chiefly for their 
 convenience; and by which (with the examples 
 juA mentioned) they may be enabled to find the 
 root of ahnoit any number required, in the 
 common way of bufinefs. See the proof of thp 
 ]'di\ quellion, in the fquare root, 
 
 EXAMPLE. 
 
 Let it he required to extrad: the fquare root 
 of i 320 feet, the value of the root being alfo 
 demanded ? 
 
 f. 
 
 1320' 36,34 
 9' • 12 
 
 66/420 4,08 inches 
 
 396 ^ — 
 
 723)2400 f. i. 
 
 2169 anfwer 36,4 
 
 7264) 3100 
 
 3056 
 
 44 
 
io6 7he Gentleman and Tradesman’s 
 
 Explanation of the Artificer’s Square, and how 
 to make it with the greateft eal'e and exadnefs, 
 to any fize required. 
 
 After you have fitted yourfelf with a piece of 
 good, found, wdl-feafoned wainfcot, &c. fit 
 for your ufe, cut the fame, to the length you 
 intend to have your fquare ; then divide one fide 
 into three equal parts, and the other into four, 
 •with the fame extent, (the two pieces firft being 
 fitted for joining together, at pleafure) fix them, 
 according to your eye, as near a fquare as you 
 can; then, with the fame extent of your com- 
 paffes you divided them with into equal parts, 
 meafure the diftance between the greateft extre- 
 mity of their legs, viz. from 3 to 4, in the 
 figure hereof, making it exadly five of tbofe 
 parts; which being done, be careful then to join 
 your fquare together, without the leaft alteration 
 or moving, you may depend your fquare is per- 
 fedly true. See the figure thereof, reprefented 
 by the two lines A and B. 
 
 Anft 
 
CoMPLEAT Assistant, & c . 207 
 
 ft 
 
 D 
 
 And here you are to underftand, that you 
 may make your Square what fize you pleafe, 
 only obferving this rule ; that after dividing the 
 two fides into equal parts, as above, the diftance 
 from the 3d divifion on one fide, as on A, and 
 the 4th on the other, as on B, meafure juft 5 
 of the fame divifions j then you may afterwards 
 extend the fides of your fquare, to what length 
 you pleafe, as in the above figure is defcribed, 
 by the pricked lines from A and B, extending to 
 C and D, 
 
 How to prove the above Square by the Square 
 Root; with feveral other neceflTary examples, 
 for the learner's more clear comprehenfion oif 
 that moft ufeful part of Geometry. 
 
 EXAM- 
 
toZ ^he Gentleman and Tradesman's 
 
 EXAMPLE. 
 
 A true fquare is the two fides of a right angled 
 triangle, which is calTd the bafe and perpendi- 
 cular, being the fame as a perpendicular rais'd 
 upon the end of any given right line y which faid 
 two lines, being given, of any right angled tri- 
 angle, the third may eafily be found, and fo 
 may any of the three lides, by having two thereof 
 given. See the operation thereof, at large. 
 
 The two fides, A B, in the fquare above, 
 is given, to find the third, or dotted line 5 
 in order to obtain which, in the firft place 
 it will be ncceflary to acquaint the reader, that 
 in the 47th Propofition, of the Firft Book of 
 
 Euclid, it is proved, that the fquare- of the 
 
 hypothenufe, or longeft fide of a right angled 
 triangle, is equal to the fum of the fquarts of 
 the bafe and perpendicular, or the other two 
 fides; therefore, the perpendicular, or fide of 
 the fquare A, here given, I (hall fay is 3 feet, 
 and the bafe B, the other fide, being 4 teer, I 
 demand the length of the other fide ? 
 
 Firft, according to the rule given, fquare the 
 fides, thus, 
 
 3 times 3 is 9 fq. of the perpend, 
 
 then, 4 times 4 is 16 fquare of the bafe 
 
 which added together, is 2 5 
 
 therefore the fquare root of 25, is 5, as you will 
 find in the table marked e, the length of the 
 other fide required (being the dotted line, or 
 diftance between the legs of the fquare). 
 
 Again, 
 
CoMPLEAT Assistant, 
 
 209 
 
 Again, fuppofe this fide, and the other fide, 
 B, were given to find A, thus; the hypochenufe, 
 or longed: fide here lafi found, is 5 feet, and the 
 perpendicular B, 4 feet, I demand the fide A, thus, 
 hypothenule 5, Iquar’d, is 
 perpendic. 4, fquar’d, is 
 
 16 
 
 •9 the difference; 
 as per table, is 3 c, 
 
 fubtraded, is 
 the fquare root of which, 
 the fide required. 
 
 Laftly, luppofe the hypothenufe, or longed 
 fide, and the perpendicular fide A, to be given 
 to find the bafe, or fide B, thus. 
 
 The hypothenufe is 5, the fquare whereof is 25 
 The perpendic. is 3, the fquare whereof is 9 
 
 Which being fubtrafled, the difference is 16 
 the fquare root of which, as per table at d, is 4, the length requir’d* 
 
 By another method. 
 
 D 
 
 Fird, draw a right 
 line, as A B, which 
 divide into two equal 
 parts, in the point D; 
 and upon D, with the 
 cliftance B D,defcribe 
 
 thefemi-circle A C B; fecondly, in any point of 
 the circumference thereof, make a point, as at C ; 
 from which point, two right lines being drawn to 
 A and B, they (hall conftituce a fquare, or right- 
 angle, at the point C ; and fo two pieces of 
 wood, being framed together, fiiall be a tree 
 fquare. 
 
 Ncte^ So much, then, I p re fit me, may be fuf- 
 ficient to qualify the learner> to find the three 
 
 E e fides 
 
iie> T'he Gentleman and TradI:sman^$ 
 
 fides feverally belonging to any right angled tri- 
 angles, being the moft curious propofition re- 
 lating to Geon^etry 5 and what too few perfons, 
 amongft the Mechanics, are acquainted with; 
 notwithftanding, being fenfible of its great uti- 
 lity in the feveral branches of trade. 
 
 It 'may be necelTary, in the next place, to ac- 
 quaint the reader, that in refpedt to the above 
 dodtrine of a right angled triangle, that when 
 once he is clear in the comprehenfion thereof, he 
 will be qualified to find the length of the hip- 
 rafter belonging the off-fet of any building what- 
 foever, whether the roof be of fquare, bevil, or 
 flat pitch, as I (hall hereafter explain, by fig. !• 
 plate I. 
 
 EXAMPLE. 
 
 Let C E, reprefent the length ; and E H, or 
 C G, the breadth of a building, the breadth 
 thereof being 24 feet^ and let D B T, reprefent 
 the principal rafters, whofe length thereof is 1 8 
 feet, or 3-4ths of the width of the building, (be- 
 ing true pitch’d) and alfo equal to the length of 
 the fide of the gable end, CA, I demand the 
 length of the corner hip, E B ? 
 
 In order to perform which, obferve this general 
 
 rule: 
 
 That the fquare of the principal rafter, added 
 to the fquare of the diftance, from the foot 
 thereof, to the corner of the building (equal to 
 half the width of the houfe), the fquare root of 
 that produdl will be equal to the length of the 
 hip-rafter. Sec the following example. 
 
 EXAM. 
 
f/i'e/ J 
 
 I 
 
 I 
 
 I 
 
 i A 
 
 :PIX 
 
 13 
 
2XI 
 
 CoMPtEAT Assistant,. &’ c . 
 
 EXAMPLE. 
 
 Half the width of the building, DE, is 12 feet, 
 the fquare thereof is 144. 
 
 thus, 12 
 by 12 
 
 144 
 
 Then the length of the principal rafter, D B, is 
 18, the fquare thereof is 324. 
 
 thus, 1 8 
 by 18 
 
 144. 
 
 18 
 
 324 fquare of the principal rafter 
 to which add the above 144 fquare of half the width 
 
 . the fum extradled 468,00(21,6 length of the hjp, as rcq, 
 
 J; 
 
 41) *68, 
 
 426)2700 
 
 ml 
 
 • 144 
 
 NotCy You may find the root of 468, in the 
 fquare root table aforegoing, (or the neareft 
 number thereto) which is 441, the root of 
 which is 21 ; the length of the hip, as above; 
 as for the 6 tenths over and above (the value of 
 which, is fomewhat more than 7 inches), you 
 may find by the explanation of the table, as di- 
 reded,. 
 
 E e a 
 
 To 
 
212 The Gentleman and Tradesman's 
 To find the length of the hip, inftrumentally, ^ 
 
 Example. Fig. 2, Plate i. 
 
 Firft, from a fcale of equal parts, lay down 
 the length and breadth of your intended build- 
 ing, reprefented in the plate, by the figure 
 A B C D, (one end being to be hipped, 
 and the other a gable end) drawing the lines 
 A B C D, the length and breadth of the roof; 
 which faid breadth C D or A B, to be 24; then 
 draw the gable end A H B, whofe fides A H and 
 B FI, are each equal in length to 3-4rhs of the 
 width 24, which will be 18 (the building being 
 true pitch’d), then draw the perpendicular line 
 O FI, the height of the gable end'(v/hich line is 
 of general ufe to level the ridge of all roofs); 
 and if the other end be hipped, as in the defign 
 C D E, then it ferves to find the length and back 
 of the hip, fo that it may anfwer both fides and 
 'end of the roof; always obferving, that the 
 middle of the breadth of the houfe is as O V ; 
 next, draw the line VVX through the center Q, 
 which v/ill make right angles to the line O V 
 (both in fquare and bevil houfes), the length of 
 the rafter being equal to A H or B FI, the two 
 fides of the gable end in 18; lafily, draw the 
 line Q^O, which is the length of the ridge ; 
 then to find the length of the hip, draw the 
 diagonal lines, C Q^and Q^D (over which the 
 hip is to hang when in its due place); then take 
 the perpendicular line O H, and place it from 
 the point Q^to the point R R, the one perpen- 
 dicular to the diagonal (or bafe line) C Q, and 
 
CoMPLEAT Assistant, &c. 213 
 
 the other to Q^D, fo is and QJl, the pitch 
 of the hip, equal to the gable end O H ; and 
 when ereded, will hang perpendicular to the 
 point Qj then take the line CR and R D, 
 placing them from C to E, and from D to C, 
 and it gives the length of the hip C E D ; which 
 being applied to your fcale of equal parts, will 
 rneafure 21, and 7-twelfths, equal to 21,6, as in 
 the former example, arithmetically. 
 
 Of a Roof. Fig. 3, Plate 1. 
 
 This roof is a proper pitch for covering with 
 plain tiles. To find the perpendicular height, 
 divide the breadth of the building into 4 parts, 
 and take 3 of thofe parts for the length of the 
 rafter, which will interfed in C, the perpendi- 
 cular height ; this is called true (or common) 
 pitch, being the moft in ufe. 
 
 In the next place, fhall think it not unneceflay 
 to give two or three examples in the Square Root, 
 by way of amufement. 
 
 QUESTION I. 
 
 If the content of a circle be 169, what is the 
 fide of a fquare, equal in area, to the given cir- 
 cle ? 
 
 EXAMPLE. 
 
 Look for the above number 169, in the fquare 
 root table, and the root thereof is the fide of a 
 fquare, equal in area to the given circle, which 
 here, at g, you will find 13 ; the anfwer required. 
 
 qut:-. 
 
2 14 “The Gektleman and Tradesman’’^ - 
 
 QJJ E S T I O N II. 
 
 A certain number of men, fpent at a reckon- 
 ing, the fum of 14/. 8r. and every man paid 
 as many fixpenccs, as there were men in com- 
 pany j how many were there ? 
 
 EXAMPLE. 
 
 Bring the money into fixpences, 
 
 /. r. 
 thus, 14 8 
 20 
 
 288 fliillings 
 
 multiply by 2 fixpences is i {hilling 
 
 576 number of fixpences 
 
 Seek this number in the table, and the root 
 thereof is the number of men, which here, f, 
 you find is 245 the number required. 
 
 N. B. That various queftions, of the like na-^ 
 ture, may be folved with eafe and pleafure, which 
 the learner may pradtice at his convenience. 
 
 CHAP. II. 
 
 Of Geometrical Definitions. 
 
 A Point is that which hath neither length nor 
 breadth j the leaft thing which can b^e ima- 
 gined, and v/hich cannot be divided, commonly 
 marked as a full flop, in writing, thus, ( . ) 
 
CoMPLEAT Assistant, & c . 2 15 
 
 A line has length, but no breadth nor thick- 
 nefs, and is made by many points joined toge- 
 ther in length, of which there are two forts, 
 viz. ftreight, and crooked, as A B, fig. i. plate 2. 
 is a ftreight line, and B C, fig. 2. two crooked 
 lines. 
 
 An angle, is the meeting of two lines in a 
 point, provided the two lines fo meeting, do 
 not make one ftreight line, as the line A B, fig. 
 3. and the line AC, meeting together in the 
 point A, make the angle B A C. 
 
 Of which right lined angles, there are three 
 forts, viz. right angled, acute, and obtufe ; 
 when a line falleth perpendicularly upon another 
 iine^ it maketh two right angles, as fig. 4. 
 
 EXAMPLE. 
 
 Let C A B be a right line, D A a perpendicu- 
 lar to it, that is to fay, neither leaning towards 
 B or C, but exadly upright ; then are both the 
 angles at A, viz. DAB and D A C, right angles, 
 and contain each juft 90 degrees, or the fourth 
 part of a circle; but if the line DA had not 
 been perpendicular, but had leaned towards B ; 
 then had D A C been an obtufe, or greater than 
 a right angle, and D A B an acute angle, or leflTer 
 than a right angle, as you fee hereafter, fig. 
 
 All figures contain’d under three fides, are 
 called triangles, as ABC, fig, 6, 7, and 8. 
 
 Where note, the triangle A, hath three equal 
 fides, and is called, an equalateral triangle. 
 
 The triangle B, hath two fides equal, and the 
 third unequal, and is called, an ifofcelcs trian- 
 gle. 
 
2i 6 The Gentleman and Tradesman's 
 
 The triangle C, hath three unequal fides, and 
 is called a Scalenum. 
 
 Of Four-Sided Figures, there are thefe forts, 
 viz. Firft, a fquare, whofe fides are all equal, 
 and angles right, as A, fig. 9. 
 
 Secondly, A long fquare, of parallogram, 
 whofe oppofite fides are equal, and angles right, 
 as B, fig. 10. 
 
 Thirdly, a rhombus, whofe fides are all equal, 
 but no angle right, as C, fig. i !• 
 
 Fourthly, a rhomboides, whofe oppofite fides 
 only are equal, and no right angles, as D, fig. 12. 
 All other four-fided figures, are called trapezias, 
 as E, fig. 13, &c. 
 
 There are al(b feveral other figures contain’d 
 under 5, 6, 7, or more lides, which may be 
 called, irregular, excepting fuch as are made by 
 dividing the circumference of a circle into any 
 number of parts; for then they are regular figures, 
 having all their fides and angles equal, and are 
 called, according to the number oi right lines 
 the circle is divided into; or, more properly, 
 according to the number of angles tney contain, 
 as a Pentagon, Hexagon, Heptagon, Odlagon, 
 etc. which, to explain in Englifh, is no more 
 than a figure of 5, 6, 7, or 8 angles; which 
 angles are all equal one to another, and their 
 fides confequently all of the fame length ; and 
 thus (though I mention no more than 8) the 
 circumference of the circle may be divided into 
 as many parts as you pleafe ; and the regular 
 figures, arifing out of fuch divifions, are called 
 according to the number of parts the circle is 
 
 divided 
 
CoMPLEAT Assistant, &c. 2iy 
 
 divided into; whic'h, for your better underftand- 
 ing, fee the follovvirjg table and figures in the 
 phue. 
 
 Of a Circle, as Fig. 15. 
 
 A circle, is a figure determined with one end- 
 Icfs line, as A, which line is called the circum- 
 ference of the circle, in the middle whereof is a 
 prick, or point, by which the circle is defcribed, 
 which is* called the center; from which point, 
 or center, all (freight lines drawn to the circum- 
 ference E, are equal, or of the fame length as 
 A B, AC, AD. 
 
 The diameter of a circle, is a line which 
 pafiTeth through the center, cuts the circle into 
 two equal parts, or the longeft (freight line that 
 can be made in any circle; as B C, the fe mi- 
 diameter, is the half of the abovementioned line, 
 as A B, AC, AD, either of which is called a 
 femi-diameter. 
 
 A chord, is any line (horter than the diameter, 
 which paffeth from one part of the circumference 
 to another, as E F, fig. 14. 
 
 A femi-circle is the half of a circle, as B DC, 
 or B E C. 
 
 A quadrant is the fourth part of a circle, 
 made by two diameters, perpendicularly inter- 
 fedling each other, as A B D, A DC, A B E, 
 A E C, either of which is a quadrant, or the 
 fourth part of a circle. 
 
 A feclion-fegment, or part of a circle, is the 
 piece’ of the circle cutoff by a chord line, and 
 is greater or lefler than a fern i- circle, as E C F G 
 
 F f is 
 
2i8 Gentleman and Tradesman’s 
 
 is a fegment of the circle E B D C G, and like- 
 wife E B D C F, is the greater fegment of the 
 fame circle. 
 
 A fuperficies, is that which hath both length 
 and breadth, but no thicknefs, whofe bounds 
 are lines 5 as A is a fuperficies, or plain, con- 
 tained in thefe lines BC, D E, B D, C E, which 
 bath length from B to C, and breadth from 
 B to D, but no thicknefs; obferve the paralello- 
 gram, fig. 16. When ihefe bounding- lines are 
 meafured, and the content of the fuperficies call 
 up, the refult is called the area, or fuperficial 
 content of that figure. 
 
 EXAMPLE. 
 
 Suppofe the faid figure to be a fuperficies, 
 
 whofe length A C is 12 feet, and breadth 
 
 A 
 
 I 4 feet ; thefe multiplied together, make 48 feet ; 
 D 
 
 therefore, I fay, 48 fquare feet is the area, or 
 fuperficial content of the faid figure. 
 
 N. B. If to either the length or breadth of the 
 above, there had been any inches, then it would 
 (and always will) require Crofs-Multiplication to 
 find the content. 
 
 When two lines are in every part equally 
 diftant from each other, they are called parallel 
 lines, as the lines AC and BD, under fig. 16, 
 which, tho’ produced to ever fo great a length, 
 would come no nearer to each other, much lefs 
 meet. 
 
 A 
 
CoMPLEAT Assistant, &c. 219 
 
 A diagonal line, is a line running through a 
 fquare figure, dividing it into two triangles j 
 beginning at one angle of the fquare, and pro- 
 ceeding to the oppofite angle. 
 
 CHAP. III. 
 
 Geometrical Problems. 
 
 Problem i. Fig. 17. 
 
 How to raife a perpendicular upon the end of a 
 given line. 
 
 A B, is the line here given ; and at B, it is 
 required to ered a perpendicular B C ; open 
 your compalTes to an ordinary extent, and fetcing 
 one foot in the point B, let the other fall at ad- 
 venture, no matter where, in reafon, as at the 
 point o ; then, without altering the extent of 
 the compafiTes, fet one foot in the point ©, and 
 with the other, crofs the line A B, as at D ; alfo, 
 on the other fide, deferibe the arch E ^ then lay- 
 ing your ruler to D and ©, draw the dotted line 
 D G F ; laftly, from the point B, you began at, 
 through the interfedion at G, draw the line B, 
 G C, which is perpendicular to A B. 
 
 N» B, There are feveral other ways to per- 
 form the above j bur, in my opinion, this is the 
 moil cafy for pradice. 
 
 F 2 Probkm 
 
220 "The Gentleman and Tradesman’s 
 
 Problem 2. Fig. 18. 
 
 Let A B, be the given line; C, the -point 
 through which the parallel line niuft pafs: fet 
 one foot of your compaffes in C, and doling 
 them, fo that the other will jiifi: touch the line 
 A B, defcribe the arch a a ; with the fame extent,, 
 in any part of the given line, fet one foot, and 
 defcribe another arch, as at D; then, through 
 the aiTign’d point, and the outmoft convex of 
 the laft arch, draw the required line C D, which 
 is parallel to A B, and palfcth through the point 
 C, as required. 
 
 ' ' - Problem 3. Fig. 19. 
 
 A right line, as A B, given to make therewith a 
 true geometrical fquare, 
 
 E X A M P L E. 
 
 Upon one end thereof, as at B, eredl the per-^^ 
 pendicular B C, of the fame length with A B, 
 and with that diflance, fixing one foot of the 
 compafles in C and A, draw two fmall arches, 
 eroding each other in the point D ; join A D and 
 C D with right angles, and they will conftitute 
 the fquare required. 
 
 Problem 4. Fig. 30. 
 
 Any right line being given to form or make a 
 rhombus, or obi'.que-angled parallellogram, 
 
 EXAMPLE, 
 
 This figure is no other than two equilateral 
 triangles, joined bafe to bafe, as the pricKed lines 
 
Z2l 
 
 Compleat Assistant, 
 
 c d plainly fhtrws, and might be made or de- 
 fcribed after the fame manner (viz. by Prob. 8); 
 or thus, make the given line, radius, or go, 
 thus A, and on each end thereof, defcribe an 
 arch; which being continued, till it meet with 
 the other arch in the points a and b, fhall give 
 you the length of the rhombus fought - and if 
 you divide the two arches in the middle, which 
 is done with the fame radius, it will help you to 
 the breadth thereof, viz. c d; and thus have we 
 found four points, from which, drawing right- 
 lines, they will compleat the figure required. 
 
 Problem 5. Fig. 31, 
 
 To defcribe a circle, that fliall pafs through any 
 three points, not laying in a right line, as 
 ABC. 
 
 EXAMPLE. 
 
 Join the points BA and BC with right lines; 
 then bifeft or divide thofe lines in the middle, 
 and continue to draw the bifedting line till they 
 meet each other; fo (hall the point of interfec- 
 tion D, give you the center of the circle re- 
 quired. 
 
 ^ Hence his eafy to find the center of any given 
 circle, if three points be taken any where in the 
 circumference; or by having a fegment, or part 
 of any circle, to compleat or defcribe the whole, 
 
 ^ Problem 6. Fig. 32.’ 
 
 How to divide a circle into any number of 
 equal parts, not exceeding twelve ; or otherwife, 
 
 how 
 
222 The Gentleman and Tradesman’s 
 
 how to make the figures, called. Pentagon 
 Hexagon, Heptagon, Odagon, Eneagon, Deca- 
 gon, Endecagon, and Dodecagon 5 which, for 
 better underftanding to the learner, {hall explain 
 the nature thereof^ as follows, viz. 
 
 If the figure 
 cojififts of 
 
 1 5 
 
 " 
 
 
 
 I 7 
 
 equal Tides and 
 
 V 1 ' 
 
 9 1 
 
 1 angles, it is 
 
 r called a re* ^ 
 
 10 
 
 gular 
 
 11 
 
 
 J *2 
 
 . 
 
 Pentagon 
 
 Hexagon 
 
 Heptagon 
 
 Odlagon 
 
 Eneagon 
 
 Decagon 
 
 Endecagon 
 
 Dodecagon 
 
 Problem 7, Fig. 32. 
 
 To make a Pentagon, or five-fided figure. 
 
 Draw firft an obfcure circle, as A B C M ; 
 then draw a diameter from A to B ; make ano- 
 ther diameter perpendicular to the firfl, as C M ; 
 then, taking with your compaffes the length of 
 the femi-diameter, fet one point in A, and make 
 the marks EF, drawing a line between them, 
 as you did to make the triangle; next, fet one 
 point of your compaffes in the interfedtion at g, 
 and extend the other to C, draw the arch C H, 
 the neafell diftance between C and H, viz. the 
 line C I H, is the fide of a pentagon, and the 
 greateft that can be made within that circle, 
 which, with the fame extent of your compafles, 
 you may mark out round the circle, and drawing 
 lines, the figure will be finifhed. 
 
 Note^ The femi-diameter of any circle, is the 
 fide of the greateft hexagon that can be made 
 within a circle. 
 
CoMPLEAT Assistant, & c . 223 
 
 Problem 8. Fig. 24* 
 
 How to make a Hexagorii 
 
 Draw an obfcure circle, as in the laft figure 
 ee; and then, without altering the extent o^ 
 the compaffes, mark out the hexagon required, 
 round the circle ; for the femi-diameter of any 
 circle, is the fide of the greateft hexagon that 
 can be made within a circle. This is the way 
 Coopers ufc, to make heads for their caiks. 
 
 Problem 9. Fig. 33. 
 
 To make an Eneagon. 
 
 Firft, make a circle, and a triangle in it, as 
 you were taught at the beginning of this pro- 
 blem ; then, divide one third part of the circle 
 into three equal parts 5 as for example: AB, 
 I, 2, 3; laftly, draw the lines A, i, 2, 3; B 
 the fame, and C alfo, for each of which is the 
 fide of the eneagon required. 
 
 Problem 10. 
 
 To make a Decagon, or ten-fided Figure, you 
 muft work altogether, as you did in making 4 
 pentagon as before j where half the diftance from 
 the center K, to the point at H, is the fide of a 
 decagon. 
 
 Problem xi. Fig. 34. 
 
 How to make an Ellipfis, or Oval, feveral ways. 
 
 EXAMPLE. 
 
 Make three circles, whofe diameters may be 
 in a ftteighc line, as AB; crofs that line with 
 
I . 
 
 22 ^ "the GENtLEMAN ctfid Tradesman's 
 
 another perpendicular to' it, at the center of the 
 middle circle, as c d, draw the lines c e, c h, dg, 
 df; fet one foot of the compafles in D, and ex- 
 tend the other to g, deferibing the part of the 
 oval, or ellipfis, g f, with the fame extent^ 
 fetiing one foot in c, deferibe the other part h e i 
 the two ends are made by parts of the two outer- 
 mod fmall circles, as you fee f e, g h. 
 
 Problem 12. Fig. 35. 
 
 This Ellipfis is to be made, having length and 
 and breadth both given, let A B be the length, 
 C D the breadth, of a required oval. 
 
 Fird, lay down the line A B, equal to the 
 given length, and crofs it in the middle with the 
 perpendicular C D, equal to the given breadth. 
 Secondly, take in half the line A B with your 
 compafiTes, viz. A E or BE, fet one foot in C, 
 and make two marks upon the line AB, viz, 
 f and g ; alfo, with the fame extent, fet one foot 
 in D, and crofs the former marks at f and g. 
 Thirdly, at the points f and g, fix two pins; or, 
 if it be. a garden-plat, or the like, two drong 
 dicks; then putting a line about them, make 
 fad the ends at fuch an exadl length, that dretcht 
 ing by the two pins, the bent of the line may 
 exadly touch A or B, or C, or D, or h, as in 
 this diagram it does at h ; fo moving the line 
 dill round, it will deferibe an exad: oval. 
 
 ' Menfu- 
 
' CoMPLEAT Assistant, & c . ' 22 ^^ 
 
 Menluration of Superficies, 
 
 CHAP. IV. 
 
 SUp. 
 
 :rficial figures, are all fuch as have only 
 length and breadth, without any confiderable 
 thicknsfs, as fig. ii, in the following plate, called 
 a parallelogram, or long fquare, which, to find 
 the true content thereof, this is the rule : 
 
 Multiply the length by the breadth, and the 
 produdl is the fuperficial content, either of a 
 parallellogram, or a fquare figure of four equal 
 fides, as fig. 1 1. 
 
 EXAMPLE. 
 
 Suppofe the length be 
 
 feet 5 6 inches 
 
 and breadth 2 4 inches 
 
 I 
 
 10 
 
 0 
 
 1 1 
 
 0 
 
 > 
 
 12 
 
 10 
 
 0 
 
 To meafure a Triangle, as Fig. 6, 7, or 8< 
 Rule, 
 
 Multiply the longeft fide (which is ufually 
 called the bafe) by half the perpendicular ; let 
 fall from the angle, oppofite to the bafe, and 
 the product is the anfwer. 
 
 G g 
 
 EXAM- 
 
T'he Gentleman and Tradesman’s 
 
 EXAMPLE. 
 
 Suppofe ihe longeft fide, or bafe, be 
 
 f. i. 
 lo 6 
 
 half the perpendicular 4 9 
 
 7 10 6 
 42 o 
 
 content In feet 49 lo 6 
 
 Note, That in triangles, fuch as fig. 6 and 7, 
 the perpendicular muft be let fall from the 
 angle at A and B, to the bafe. 
 
 To meafure a Trapezium, as Fig. 13. 
 
 Firft, draw the diagonal, or bafe line, BQ 
 which divides the trapezium into two triangles, 
 viz. BAG and BDC; next, draw a diagonal 
 line from A to D, crofiing the bafe line BC, in 
 the point F, which faid line give you the two 
 perpendiculars, viz. A F, the greater triangle, 
 and F D, to the Itfler triangle ; then proceed to 
 meafure the two triangles, according to the 
 former diredions, and add the two produdts to- 
 gether, and that produd is the content of the 
 whole traperium. 
 
 EXAM- 
 
CoMPLEAT Assistant, &c, 22^ 
 
 EXAMPLE. 
 
 In triangle B AC, the bafe is 16.6 
 
 and perpendicular, 10. 10 (half? 
 
 of which, is) - - - 5-5 
 
 830 
 
 ^30 
 
 content 91.30 
 
 In the triangle, B D C, the 1 , , 
 
 bafe as before, is - - - - i ^ * 
 
 and the perpendicular, FD, is 1 
 4, the half of which, is I 
 
 content 33 2 
 
 to which add the former - g ..^o 
 
 and the produdl is - - - 124.50 
 
 the content of the trapezium, as required. 
 
 Or by this method. 
 
 Add the two perpendiculars together, viz, 
 JO. 10 and 4, and their fum is, 14.10 
 
 which, multiplied by half the bafe 8. 3 
 
 4 - 5 ^ 
 
 I2CO 
 
 and the produd (as above) is 124.50 
 the content of the traDcrium. 
 
 X 
 
 Note, Thefe two methods being perform’d by 
 Decimals, fhall give one example more, after 
 the manner of feet and inches. 
 
 G g 2 Thus, 
 
228 The Gentleman and Tradesman’s 
 
 Thus, 
 
 the bafe is 
 
 half the perpendic. added, Is 
 
 7 5 
 
 6 JO 6 
 
 115 6 
 
 the content in feet 122 46 
 
 Noiey If you efleem the decimal parts of a 
 foot to be inches (as in the above example), the 
 content is only 122 feet, 4 inches, and 6 parts. 
 
 To find the Area, or content of a Pentagon, 
 Hexagon, Heptagon, Odagon,, &c. as fig, 32. 
 
 Rule. 
 
 From the center K, draw the lines F and L, 
 
 obferving that K M is the perpendicular, 
 
 Meafure the triangle KFL, as before is taught, 
 and the produd, multiplied by 5, is the content 
 of the pentagon; and according to the number 
 of the fides of any figure, as above, you may find 
 the content thereof. 
 
 E X A M.P L E. 
 
 The perpendicular, X M, is i8 the bafe, FL, 20 
 The half bafe, F M, or M L, is 10 
 
 The content of the triangle, is 180 which multiplied 
 By the number of fides 5 is 
 
 The content of the pentagon 900 as required; 
 
 and by this method, all thofe figures exprefs’d in 
 the table aforegoing, of whatfoever number of 
 fides, may be meafured. 
 
CoMPLEAT Assistant, 0 ?c. 229 
 
 , The diameter of a circle being given to 6nd 
 the circumrerence thereof, arithmetically, as 
 
 Rule, 
 
 As 7 is to 22, fo is the diameter to the cir- 
 cumference ; thus, by the Rule of Three. 
 
 Suppofe the. diameter be 14, what is the cir- 
 cumference of that circle ? 
 
 Thus, 
 
 As 7 : 22 : : 14 the diameter to 
 
 H 
 
 88 
 
 22 
 
 7)308(44 circumference required, 
 28 
 
 28 
 
 28 
 
 Fig. 14. 
 
 The diameter (of a circle) and the circum- 
 ference, being given to find the area, or fuper- 
 ficial content. 
 
 Rule. 
 
 Multiply half the diameter by half the cir- 
 cumference, and the produd: thereof fhews the 
 concent of any circle; or, multiply the whole 
 circumference by the femi, (or half) diameter, 
 and half that produd is the content. 
 
 Having 
 
230 T’he Gentleman and Tradesman’s 
 
 Having only the diameter of a circle given to 
 find the content, this is the Rule : 
 
 Say, as 7 is to 22, fo is the fquare of the femi- 
 diameter to the content of the circle. 
 
 The femi-diameter is half of 14 
 the diameter, viz. 7 
 
 7 
 
 Then fay, as : 22 : : 49 the fquare to 
 
 49 
 
 198 
 
 88 
 
 7)1078(154 content required 
 
 7 
 
 ■ T- 1 
 
 37 
 
 35 
 
 28 
 
 s8 
 
 Having the circumference given to find the con-« 
 tent. 
 
 Rule, 
 
 As 88 (being 4 times 22) is to 7, fo is the 
 fquare of the circumference to the content. 
 
CoMPLEAT Assistant, & c . 
 
 The circumference is 44 as before 
 
 the fquare of which, 44 
 
 176 
 
 176 
 
 is 1936 fq. of circumf. 
 
 Then fay, as 88 : 7 : : 1936 ditto 
 
 7 
 
 divifor 88)13552)154 content req. 
 88 
 
 475 
 
 440 
 
 352 
 
 352 
 
 The content of a circle being given to find the 
 diameter. 
 
 Rule, 
 
 As 22 is to 28, fo is the content to the fquare 
 of the diameter; or thus, more exadlly: as 355 
 is to 452, fo is the content given, to the fquare 
 of the diameter. 
 
 EXAM- 
 
232 "Tbe Gentleman and Tradesman’s 
 
 EXAMPLE. 
 
 The content is 154, as before; then fay, 
 
 As 355 : 452 : : 154 the content to 
 ^54 
 
 1808 
 
 2260 
 
 452 
 
 355)69608(196 fquare of diameter 
 
 355 
 
 ■ extradl 
 
 3410 196(14 root, or diam. 
 
 3^95 J_ 
 
 •2158 24)96 
 2130 96 
 
 • *28 
 
 This is the exadeft method, although there is 
 28 remaining 
 
 355 
 
 The 
 
Compleat Assistant, &c. 235 
 
 The content of a circle being given to find the 
 circumference. 
 
 Rule, 
 
 As 7 is to 88, fo is the content to the fquare 
 of the circumference. 
 
 7 : 88 : : 154 
 
 88 
 
 1232 extrafted, is 
 
 1232 
 
 7)13552(1936(44 root = to circumf* 
 7 • ' • 16 
 
 65 84)336 
 
 63 336 
 
 25 
 
 21 
 
 42 
 
 The content of a circle being given to find 
 the fide of a fquare; the content of which 
 fquare, (hall be equal to the content of a circle* 
 
 Rule, 
 
 Extradl the Square Root of the given content, 
 and that root is the fide of a fquare required* 
 
 H lit 
 
224 Gentleman and Tradesman’s 
 The content as before, is 154 
 
 Extrad 15400(124 the root, or fide of a fquare, 
 
 I equal, as required 
 
 2 2)J4 
 
 4 +_ 
 
 244)1000 
 
 976 
 
 The proof, thus, 
 
 Side of the fquare 12.4 
 
 124 
 
 496 
 
 248 
 
 124 
 
 15376 
 
 to which, add the remainder 24 
 
 the content of the fquare 154 00 
 which is equal to the content of the circle, as 
 required. 
 
 The diameter of a circle being given to find 
 the fide .of a fquare; the area of wiiich fquare, 
 lliall be equal to the area of the circle of the 
 given diameter. 
 
 Rule, 
 
 As 1 13 is to 355, fo is the fquare of the dia-* 
 meter to the content required. 
 
 EXAM- 
 
" CoMPLEAT' Assistant, Gfc. 235 
 
 EXAMPLE. 
 
 7 the femi- diameter 
 
 As 113 : 355 : ■■T_ 
 
 49 49 fquare 
 
 3^95 
 
 1420 
 
 which, altho’ not exaflly 154 
 
 II'2)l77QC(lC2 II- (the real content), this propor- 
 j j ^ tion works neareft the truth of 
 
 ^ any other, 
 
 609 
 
 565 
 
 • 445 
 339 
 
 106 
 
 The diameter of a circle being given, to find 
 the fide of a fquare, which may be inferibed 
 within that circle. 
 
 Rule, 
 
 Square the diameter, and the root of half the 
 the produdt is the fide of the fquare required. 
 
 H h 2 
 
 EXAM-. 
 
.^3^ Gentleman and Tradesman’s 
 
 EXAMPLE. 
 
 The diameter is 14, which fquared, is 196 
 H 
 56 
 
 H 
 
 2)196)98 half the fq. of diam. 
 18 
 
 ”16 
 
 16 
 
 cxtrafted 
 
 98(9.8 fide of the fq. 
 8 i required 
 
 188)1700 
 
 1504 
 
 196 
 
 To find the fuperficial content of an Oval> 
 as fig. 35. 
 
 Rule, 
 
 Multiply one diameter by the other, and ex- 
 trail the fquare root of that produdl, and that 
 root (hall be equal to the diftance of a circle, 
 whofe fuperficial content (hall be equal to the 
 ova! given ; which may be found as before. 
 See fig. 14. 
 
 tranfverfc 
 
CoMPLEAT Assistant, (Sc. 237 
 
 tranfverfe diameter 1 8 
 conjugate ditto 12 
 
 extradl the fquare root of 
 
 484 
 
 216(14.6— 
 
 diameter of 
 the circle 
 
 I 
 
 24)116 
 
 96 
 
 286)2000 
 
 1716 
 
 284 
 
 To find the content. 
 
 As 7 : 22 : : 14 : 6 which is near enough, 
 22 without the fradion 
 
 292 
 
 292 
 
 7)321.2)45.8 circumference 
 28 
 
 •41 
 
 35 
 
 • 62 
 
 56 
 
 • o 
 
 half the circumference, is 22.9 
 
 half the diameter, is 7.3 
 
 687 
 
 1603 
 
 the content 167.17 
 
 equal to the oval, aj required. 
 
^38 T'he Gentleman a 7 id Tradesman’s 
 
 Note , The above work is perform'd’ by the 
 method of decimals *, but if you efteem the 
 diameter and circumference given in feet and 
 inches, you mud work by that method through- 
 out; but this above (to rhofe acquainted with it) 
 is the mod concife, and alfo correft ; and faves 
 abundance of trouble, in refpedt to that of 
 fquaring feet and inches. 
 
 Problem 13. Fig. 31. 
 
 Three points being given, how to make a 
 circle, v/hofe circumference (hall pafs through 
 the three given points, provided the three points 
 are not in a dreight line. 
 
 Let ABC be the three points given; fird, 
 fetting one foot of your compaffes in A; open 
 them to any convenient widenefs, more than 
 half the didance between A and B, and defcribe 
 the arch towards. B ; with the fame extent of the 
 compaffes, fet one foot alfo in B, and defcribe 
 the arch towards A, and draw a dreight line 
 through the interfedion, as in the figure; the 
 very fame you mud do' between B and C, draw- 
 ing a line alfo through the two interfedions of 
 the arches; then, at the very place where the 
 two lines interfed each other, is the center of 
 the circle required, which is at D; which fetting 
 one foot of the compaffes thereon, extend the 
 other to either of the points given, and defcribe 
 the circle ABC. 
 
 Note, The center of a triangle is found the 
 fame way. 
 
 Problem 
 
CoMPLEAT Assistant, ^ c . 239 
 
 Problem 14, Fig. 31. 
 
 To find the diameter of a circle, by having 
 one part of the diameter given; alio, having the 
 length of the chord croffing the diameter in the 
 given part. 
 
 Rule, 
 
 Square the half of the chord-line, A B, and 
 divide the prcdudt by the given part of the 
 diameter, D C, the quotient being added to the 
 faid given parr, is the length of the diameter 
 required, 
 
 EXAMPLE. 
 
 Let ACB be a fegment given, whofe chord 
 AB, is 36, and the verfed fine CD, 6; half 
 36 is 18, which fquar’d, makes 324; this di- 
 vided by 6, the quotient is 54 ; to which add 6, 
 the fum is 60, the diameter of the circle CE. 
 
 See 
 
 the work. 
 
 18 
 
 half the chord 
 
 18 
 
 
 144 
 
 
 18 
 
 
 6)324 
 
 the fquare of AD 
 
 54 
 
 the part wanting, DE 
 
 6 
 
 the verfed fine C D, added 
 
 
 the diameter, C E. 
 
 Any 
 
240 The Gentleman and Tradesman’s 
 
 Any fegirsent of a circle being given,' whole 
 chord-line doth not exceed the chord of the 
 quadrant of the fame circle, to find the content, 
 without finding the diameter, and without de- 
 fcribing any more of the circumference, which, 
 in fmall fegments, come very near the truth. 
 Let the fegment given, be fig, 37, whole chord- 
 line is A B; and the part of the diameter, cut 
 off by the chord-line, D C, the content of this 
 fegment is required ? 
 
 Rule, 
 
 Take the whole length of the chord A B, 
 and 3-twelfths of the length of the line DCj 
 to which add, /-twelfths of the fame line ; then 
 multiply thofe two lengths, and the produdl 
 gives you the content. 
 
 EXAMPLE. 
 
 The whole length of the chord, A B, is ,36 
 
 and two thirds of the length, D C, is 4 
 to which add, 7- 1 2ths of the fame line 3.5 
 
 theprodudlis 7.5 
 
 which, multiplied by the chord, A B, 36 
 
 450 
 
 225 
 
 270.Q 
 
 the content thereof, as required. 
 
 FINIS. 
 
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