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

ISBN-10: 9400965028

ISBN-13: 9789400965027

ISBN-10: 9400965044

ISBN-13: 9789400965041

`The authors try succesfully to offer a balanced photograph of Chuquet's achievements and his barriers. hence the booklet offers a well-documented and carefully elaborated study work.'
Mathematical stories (1986)

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

Sample text

AtioVl. o to 17? d lLoot i-6 R212~. WYlbeA :that. o • Next. eJL, what. paJtt. i-6 thi,6 0 6 I? h i-6 ~ 02~; you will have ~~. 6 above iVl. o 11; theVl. h i-6 i ~ . The work is illustrated in the margin as follows: l~~-.!..!. ,[6 by ~ ~nd you wItt have 13 1; . the~?

N, ,6upp0,6ing a 6iguJte. ne.. JWJ~e. one. move. -6aid. The example 406579 - 38075 is given in the margin and discussed. It involves two "borrowings", the first being the subtraction of 8 from 6. 60Jt thi-6 one. n the. h one. n 6Jtom o. One. e. ne. n the. h one. ne. n the. -6. Four further subtractions are written out without comment. In all these, as with additions, Chuquet places his result below the numbers to be subtracted. This had gradually become the more common practice in Italy. However, earlier algorithmic arithmetics were strongly influenced by abacus methods.

Rules are given for recognizing when such divisions are possible. n the. 6iMt 6igWte. 06 the. nWl1e/UUoJt. 60 06 the. nominatoJt. n, then. one. ognJA e. an. be. •••• And i6 you. add the. 6 06 the. tatoJt. 6 one. 6ign. an. be. 6 by 6. I6 you. n. be. 6 by 3. And in you. an. be. d by 3. 6 one. 6tand 60Jt. the. natoJt.. And i6 the. 6iMt 6igWte. 6 5 OJt. e. ognize. that the. an be. d by 5. I6 the. 6iMt 6igWte. L6 0, the. an be. d by 10. thod Me. tow. n. be. d in. ot aU the.. n. be. d by the. e. d above..

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Nicolas Chuquet, Renaissance Mathematician: A study with extensive translation of Chuquet’s mathematical manuscript completed in 1484 by Barbara Moss, Cynthia Hay, Graham Flegg (auth.), Graham Flegg, Cynthia Hay, Barbara Moss (eds.)


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