Nicolas Chuquet, Renaissance Mathematician: A study with by Barbara Moss, Cynthia Hay, Graham Flegg (auth.), Graham

By Barbara Moss, Cynthia Hay, Graham Flegg (auth.), Graham Flegg, Cynthia Hay, Barbara Moss (eds.)

`The authors test succesfully to provide a balanced photograph of Chuquet's achievements and his barriers. therefore the ebook provides a well-documented and punctiliously elaborated learn work.'
Mathematical studies (1986)

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Additional info for Nicolas Chuquet, Renaissance Mathematician: A study with extensive translation of Chuquet’s mathematical manuscript completed in 1484

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Onding :to :the. te. 4050 1 < 'd d you w,u:x "A:). tioM Me. d. Chuquet then turns to the advantages of finding the lowest common denominator, and gives an example of his Itspecial rule for reducing any fractions". e. an be. h Me. aU :the. nomina-toJt6. On i6 we. Jte. ome. Uy be. d by aU :the. :toJt6. 60ne. one. an :taRe. onding :to :the. te. 6aid, and one. will. 6ind 162 60n i, ~ non ~, {2 non *, and i~ non~. 60ne. :to 6ind :the. nomina-ton one. ply :the. na,toJt6 one. by :the. e. 6 Me. m. 6 in :the.

J. THE TRIPARTY - FIRST PART 37 Chuquet's method of setting out a division is somewhat unusual and differs from those in most of the books on algorism associated with the Hindu-Arabic numerals. After giving some simple examples, he naturally introduces the concept of fraction although strictly this part of his Arithmetic treats with whole numbers. Fractions appear first when the dividend is less than the divisor, and it is here that the method of setting out the calculation comes into its own since the numerator and the denominator appear in the correct relative positions though separated by the quotient O.

ILe. l we. 6. 1£, whiQh divide by the individual. meAcdo~. 6 een below. 6~y 60~ the 6iMt to muttiply 3 by 5 getting 15 60~ Qommon denomincdo~. 6 ~ 60~ the~. 6 m~gil1. g. In the margin we find: 10 12 2 4" 5 "3 15 Chuquet then considers in detail the simultaneous reduction of ~,t. He obtains the cornmon denominator 144, having followed his rule in this example to "multiply all the denominators one by the other" without regard to their cornmon factors. The reduction is set out in the margin. t. t.

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