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A48340 The line of proportion or numbers, commonly called Gunters line, made easie by the which may be measured all manner of superficies and solids, as board, glass, pavement, timber, stone, &c. : also, how to perform the same by a line of equal parts ... : whereunto is added, the use of the line of proportion improved ... / by William Leybourn. Leybourn, William, 1626-1716. 1667 (1667) Wing L1916; ESTC R18369 39,128 184

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The LINE of PROPORTION or NUMBERS Commonly called Gunters Line Made Easie By the which may be Measured all manner of Superficies and Solids as Board Glass Pavement Timber Stone c. ALSO How to perform the same by a Line of Equal Parts drawn from the Centre of a Two-Foot-Rule Whereunto is added The Use of the Line of Proportion Improved Whereby all manner of Superficies and Solids may both exactly and speedily be measured without the help of Pen or Compasses by Inspection looking only upon the Ruler By WILLIAM LEYBOURN London Printed by J. S. for G. Sawbridge at his House on Clerkenwell-green 1667. LICENSED Nov. 9. 1666. Roger L' Estrange To the Right Honourable Sir WILLIAM BOLTON Knight Lord Major of the City of London And the Right Worshipful the Aldermen of the same City As also to JOHN AUSTEN and THOMAS NEVILE Esquires Commoners Appoined by a Committee of Common-Council to direct the Admeasurement of the Ruines by the late Fire there WILLIAM LEYBOURN One of those Employed by Order in the Survey of those Ruines Humbly presents with the best of his Services this Manual Necessary for all Builders and those that shall Employ them TO THE READER THE Line of Proportion or Numbers commonly called by Artificers Gunter's Line hath been discoursed of by several persons and variously applied to divers uses for when Mr. Gunter had brought it from the Tables to a Line and written some Uses thereof Mr. Wingate added divers Lines of several lengths thereby to Extract the Square or Cube Roots without doubling or trebling the distaence of the Compasses After him Mr. Milbourn a Yorkshire Gentleman disposed it in a Serpentine or Spiral Line thereby enlarging the divisions of the Line Again Mr. Seth Partrîdge contrived two Rulers to slide one by the side of the other having upon them two Lines of one length which exactly and readily performeth all Operations wrought thereby very exactly and speedily without the help of Compasses Now whatsoever all the forementioned Contrivances will perform I have here shewed in this Manual and so ordered the Line that it will perform the work without Compasses by Inspection looking only upon the Ruler And thereby may be measured let the Line be of what length soever not only Board Glass Timber and Stone but also all manner of Hangings Pavements VVainscots Plaistering Tyling Brick-work c. To all which Uses I have particularly applied it as will appear by several Instances in all the forementioned particulars and the rather because this Treatise may be beneficial and useful as well to Gentlemen and others who at this time may have more than ordinary occasion to make use thereof in the Re-building of the Renowned City of London as to Artificers themselves for whose sakes chiefly it was intended Vale. ADVERTISEMENT IF any Gentleman studious in the Mathematicks have or shall have occasion for Instruments thereunto belonging or Books to shew the use of them they may be furnished with all sorts useful both for Sea or Land either in Silver Brass or VVood by Walter Hayes at the Cross-Daggers in Moor-fields next door to the Popes-head Tavern where they may have all sorts of Maps Globes Sea-plats and Mathematical Paper Carpenters Rules Post and Pocket-Dials for any Latitude Steel Letters Figures Signs Planets or Aspects at reasonable Rates How to Measure Board and Timber BY THE Carpenters PLAIN RULE ALL manner of Superficial and Solid Measures may be measured the most absolute and artificial ways that are yet known by the Precepts and Examples in this Book delivered But although every Capacity may not attain to the knowledg and understanding thereof I thought good here to insert the Use of that Rule which is commonly made and sold and which every Artificer continually carries about him It s Description I. Of the FORE-SIDE It consisteth of two flat sides one of which towards either edge thereof is divided into 24 equal parts called Inches and numbered by 1 2 3 4 and so forth to 24 at the end thereof Every one of the parts or Inches is again divided into two equal parts by Lines about half the length of the other representing half Inches and every of these half Inches is divided into two other equal parts called quarters of Inches and each of those again into two other equal parts called half quarters of Inches So that each Inch is divided into eight equal parts representing Inches Halves Quarters and Half-quarters Both the edges on the one side of the Rule are thus divided and numbered only where 24 stands at one end of the Line on one edge there 1 stands on the other edge so that which end of the Rule soever you measure with you may count your number of Inches and parts right without turning of the Rule II. Of the BACK-SIDE On the other side of the Rule you have two other Lines or Scales drawn neer to the edges of the same side one is called the Line of Board-Measure the other the Line of Timber-Measure At the beginning of either of these Lines you have a little Table of Figures the one for Board the other for Timber or Stone The line or Scale of Board-Measure begins at 6 towards your left hand and so goes on to 36 ending just 4 Inches short of the other end of the Rule but sometimes this Line is continued up to 100 but nor often and then it goes nearer to the end of the Rule namely to within an Inch and an half of the end thereof At the beginning of this Line there is a small Table from 1 to 6 Inches which shews in Figures the quantity of the length of a Foot of any Board from one Inch broad to 6 Inches broad and then the divisions supply the greater breadths On the other edge on the same side you have the Line or Scale of Timber-measure This Scale begins at 8 and an half and so goes on by divisions to 36 towards the other end of the Ruler namely 36 ending within almost an Inch and half of the Rules end To this Scale also there belongeth a Table which standeth at the beginning of the Line and goes from 1 Inch to 8 Inches and gives the quantity of the length of a Foot of any Timber under 8 Inches square in Figures as the other did for Board from 1 to 6 And these are called the Tables of Under-measure The Table for UNDER-BOARD-MEASURE 1 2 3 4 5 6 12 6 4 3 2 2 0 0 0 0 4 0 The Table for UNDER-TIMBER-MEASURE 1 2 3 4 5 6 7 8 144 36 16 9 5 4 2 2 0 0 0 0 9 0 11 3 Thus much for the Description of the Lines upon the Carpenters plain Rule Now for Their Use I. Of the Fore-side or Side of Inches This side is only to measure the length and breadth of any thing to be measured in Inches and parts the manner of doing whereof is natural to every man for taking the Rule in the left hand apply it to the