By Barbara Moss, Cynthia Hay, Graham Flegg (auth.), Graham Flegg, Cynthia Hay, Barbara Moss (eds.)
`The authors test succesfully to offer a balanced photo of Chuquet's achievements and his boundaries. therefore the e-book provides a well-documented and punctiliously elaborated examine work.'
Mathematical reports (1986)
Read Online or Download Nicolas Chuquet, Renaissance Mathematician: A study with extensive translation of Chuquet’s mathematical manuscript completed in 1484 PDF
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Extra info for Nicolas Chuquet, Renaissance Mathematician: A study with extensive translation of Chuquet’s mathematical manuscript completed in 1484
These parts are broken down into chapters with appropriate headings though Chuquet does not himself supply any table of contents. Marre's table, to accompany pUblication of the Triparty in 1880, was based mainly but not entirely on Chuquet's own headings, and we present it (with some minor variations) in Appendix I. The first part of the Triparty is an arithmetic, fairly conventional for its day, but including names for large numbers and the "rule of intermediate terms". This rule is, somewhat surprisingly, the one item in the whole work which Chuquet claims to be his own original invention.
601L tne. VI. umbVL6. *, *, Chuquet has thus generalized the concept of fraction to include whole numbers, but does not appear to notice that in so doing he has broken his earlier requirement that a numerator should always be less than its denominator. He "enters into the science of broken numbers" with a discussion of reduction. This is ••• • •• to maile. wile. two OIL mOILe. tolL, nOlL the. e. ouVLt 06 the. nominatOlL OIL 06 the. ILe. l we. 6. 1£, whiQh divide by the individual. meAcdo~. 6 een below.
T. t. 72 -1 2" 108 96 -3 7; 2 "3 120 -5 6" 144 In the translations which follow from this point onwar~s. Chuquet's expression "broken numbers" is rendered as "fractions". Qe ~ 06 ~ 06 ~t ~ 06 ~, and ~ 06 ~ 06 j 06~. meAcdo~ by l1umeAcdo~ (wd del1omincdo~ by del1omincdo~. meAato~. 6. i :to ~ 06 ~ 06 ~. ply 3 by 5 and 4 by 7 and you will. 6lnd ~ ~ 60n 06~. n by 2 and again by 1 and :theJte. Jte. U be. nomlna-ton. ThM you will have. d l-6 18 60n :the. ~ 06 ~ 06 ~ 06 ~. TaRe. e. onding :to :the. te.