The scales of commerce and trade: ballancing betwixt the buyer and seller, artificer and manufacture, debitor and creditor, the most general questions, artificiall rules, and usefull conclusions incident to traffique: comprehended in two books. The first states the ponderates to equity and custome, all usuall rules, legall bargains and contracts, in wholesale ot [sic] retaile, with factorage, returnes, and exchanges of forraign coyn, of interest-money, both simple and compounded, with solutions from naturall and artificiall arithmetick. The second book treats of geometricall problems and arithmeticall solutions, in dimensions of lines, superficies and bodies, both solid and concave, viz. land, wainscot, hangings, board, timber, stone, gaging of casks, military propositions, merchants accounts by debitor and creditor; architectonice, or the art of building. / By Thomas Willsford Gent.

AN INDEX TO THE FIRST BOOK, Divided into three Parts.

PART I. OF Whole-sale and Retail, without gain or loss, or the contrary, whether relating to the whole parcell, or part, or to any Interest per cent. per ann. as in page 1. to the 15. Propositions.

• Equation of payment, p. 19. prop. 16.
• Barter, with the dirivation, p. 20. pr. 17. & 18.
• Tare, Neat, Tret, and Cloff, p. 22. pr. 19, 20, & 21.
• Exchanges of forreign Coin, Assurances and Returns of Money, p. 27. pr. 22. to 28.
• Reduction of Weights and Measures, p. 35. pr. 29. to 32.
• Factorage, p. 39. pr. 33. to 36.
• Cambio Maritimo, Sea-hazard, or Bottom-ree, p. 44. pr. 37.

PART II.

• Definitions and Etymologies of Usury and Interest-mo∣ney, p 47.
• Simple Interest in Forbearance, where the Principall, Interest and Time, are of whole or mixt denominations, p. 50. pr. 38. to 45.
• Discount or rebate of money for any Interest or Time, p. 59. pr. 46, & 47.
• Tables of forbearance and discount in compound Inte∣rest, calculated by Decimall Arithmetick, from 1 day to

• 25 years inclusive, at 6 l. per cent. per ann. p. 64, 65, 66.
• The construction of Decimall Tables, p. 67. in forbea∣rance and discount of Money, Rents, Pensions, Annui∣ties and Reversions, with the purchase of them, to p. 78.
• The application of these Tables, p. 79. quest. 1. to qu. 21.

PART III.

• Rules of Practise by memory, and the assistance of one Table, p. 103. & 105.
• The description and use of this Table in 9 Examples, p. 107.
• A Julian Kalendar for the receipt and payment of mo∣ney, or other businesse, as to find what day of the week a∣ny day of the moneth shall fall upon for 11 succeeding years, p. 112.
• A Gregorian Kalendar, for the receipt or payment of mo∣ney beyond sea, where that account is received, p. 114.

The Contents of the second Book, divided into five parts.

PART I.

• The dimension of all plain or right-lin'd Triangles, pag. 117. Problem 1, 2, 3.
• The dimension of Board, Glass, Hangings, Wainscot, Pavements, Land, &c. p. 122. pr. 4, 5, 6.
• Reduction of any squared Superficies, from a greater to a lesse, and the contrary, p. 129. pr. 7.
• How to make the Carpenters Ruler, for the dimension of any Superficies, measured by the foot or yard square, p. 136. pr. 8.
• To find the content of a Square, including any Circle propounded, p. 134. pr. 9.
• The Diameter of any Circle known, to find the grea∣test circumscribed Quadrangle, p. 135. pr. 10.

• To find the nearest Quadrature of a Circle, p. 137. pr. 11.
• The dimension of solid bodies, p. 139. prob. 12. to pr. 14.
• A Demonstration in the commensuration of tapering Timber, p. 147.
• To divide the Carpenters Ruler, for the measuring of solid bodies. p. 151.

PART II.

• The dimension of round and concave Measures, p. 155. prob. 1.
• The gaging or measuring of Casks, from the Runlet to the Tun, either of Wine or Beer, p. 158. pr. 2.
• By the diameter of any Circle, to find the Circumference, p. 160. pr. 3.
• With the diameters of two Circles, and the circumfe∣rence of the one how to find the other, or the contrary, p. 161. pr. 4.
• With the diameter and superficies of one Circle, to find the content of any other, the diameter being known, p. 161. pro. 5.
• With the superficiall content of two Circles given, and one Diameter to find the other, p. 162. pr. 6.
• To find the convex superficies of any Sphere or Globe, whose diameter or circumference is known, and that four severall wayes, p. 163. pr. 7.
• By the diameter or circumference of any Sphere or Globe known, to find the solid content 3 severall wayes, p. 194. pr. 8.
• With the diameter and weight of any sphere or Globe, to find the weight of any other, whole diameter is known, p. 166. pr. 9.

PART III.

• With the diameters of 2 Bullets known, with the weight of one to discover the other, p. 169. proposit. 1.
• By the weight of 2 Bullets known, and di••meter of the

• one to find the other, p. 70. prop. 2.
• Compendious Rules for martialling of Souldiers, in all right angled forms of battels, with their definitions, p. 172. prop. 3, 4, 5, 6.
• The incamping of Souldiers in their severall quarters, p. 176. pr. 7.
• The height of any Wall or Tower being known, to find the length of a scaling Ladder, p. 177. pr. 8.
• To find the height of any Wall or Tower that is acces∣sible, p. 178.
• To find the distance to any Fort or place, though not accessible, p. 179. pr. 10, 11, 12.
• In a City, Castle, or Fort, to be beleaguer'd, how to proportion the Men and Victuals, Guns and the Pow∣der, whereby to make the Works tenentable for any time limitted, p. 182. pr. 13. to pr. 16.
• Generall Rules and Observations of experienced Engi∣neers and Gunners, p. 189.

PART IV.

• The form of keeping Merchants Books of Account after the Italian manner, in form of Debitor and Creditor, p. 233
• Architectonice, or the art of Building, as an Introduction to young Surveyors, of the Estimates, Valuations, and Contracts, from p. 1. to p. 5.
• The manner in taking of a survey of Masons work by the great, p. 6, 7, 8, 9.
• A bill of Measure, with the charges in money according to the articles of agreement. p. 10.
• Estimates, Contracts, Rates, Rules and Proportions, ob∣served by Carpenters, p. 11.
• Proportions and dimensions of a Roof, p. 12.
• The Materials, Valuations and Proportions in covering of Structures, and finishing of them, to make them te∣nentable and commodious, by sundry Artificers, p. 15, to 30.
• The five orders of Columnes or Pillars described, with the Artificers and Inventors of them, p. 31. to 34.

FINIS.