PROPOSITION III.
A Tradesman bought a whole piece of Cloth con∣taining 28 ¾ yards, which did stand him in (with all charges defraid) 19 lb: 3 ss: 4 d. sterling, how
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.
About this Item
- Title
- 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.
- Author
- Willsford, Thomas.
- Publication
- London, :: Printed by J.G. for Nath: Brook, at the angel in Cornhill.,
- 1660.
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- Subject terms
- Architecture -- Early works to 1800.
- Arithmetic -- Early works to 1800.
- Cite this Item
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"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." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A74684.0001.001. University of Michigan Library Digital Collections. Accessed May 19, 2024.
Pages
Page 4
should he sell it, whereby to gain 1/10 part in every yard, or forc'd unto so much loss in retail.
The RULES.
RULE 1. As the Denominator is to the price known, so the fractions summ.
As the quantity given,
RULE 2. so an Unite of the same.
An explanation, where gain or loss is impo∣sed upon a part, Lib. 2. Parag. 10.
This Questi∣on 〈 math 〉〈 math 〉 is stated ac∣cording to the Double Rule of Proportion, ei∣ther for gain or loss, by change∣ing the ex∣tremes in the first Rule, viz. in this 10 for 11, the fraction in all such cases making two terms; the Denominator in the first place being Divider, the price of the Wares or Merchandizes the se∣cond term, and the summe both of Numerator and Denominator must possess the third place, if for gain; but must be made Divider, if the Propositi∣on be for loss: the first number in the second Rule ought to be the quantity propounded, either in Number, Weight, or Measure; and the last Number an Unite on which the querie is made, of
Page 5
gain or loss: or, which is all one, if an improper fraction as in the Table 4/4, the Denominators be∣ing made equal, viz. 135/4 and 4/4 and consequently may be omitted, one being a Multiplier, the other a Divider; their Products are these 1150/4 · 115/6 · 44/4 · the first and third Numerators may be reduced by 2, and their Denominators cancelled; they will stand thus, as in the third Table, viz. As 575 to 115/6 so 22 unto 253/345 which is in money 14 ss. 8 d, the price of one yard with the profit required.
The reason is evident; for if 20 ss were the In∣teger, the Numerator would have been 2 ss and consequently the proportion as 20 to the middle term, so 228 the summe of Numerator and De∣nominator to the gains required. This question may be easily solv'd without a Double Rule, as thus: by the first Proposition you may finde that one yard cost 13 ss. 4 d. 1/10 part of it is 1 ss. 4 d, the summe 14 ss. 8 d. as before: but this may be of good use in other questions, and therefore con∣veniently inserted.