A Long Way from Euclid by Constance Reid

By Constance Reid

This full of life consultant by way of a favourite historian specializes in the function of Euclid's Elements in mathematical advancements of the final 2,000 years. No mathematical heritage past trouble-free algebra and airplane geometry is critical to understand the clear and easy reasons, that are augmented through greater than eighty drawings. 1963 version.

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A Long Way from Euclid

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Why so? (saith M. Roberval) Because (saith Sir Charles) we in England know where he had it; namely from Harriot’s algebra. What Book is that? (saith M. Roberval,) I never saw it. Next time you come to my Chamber (saith Sir Charles) I will shew it you. Which after a while, he did: And upon perusal of it, M. Roberval exclaimed with admiration (Il l’a veu! ) He had seen it! He had seen it! Finding all that in Harriot which he had before admired in Des Cartes; and not doubting but that Des Cartes had it from thence.

3) On solving equations in numbers Problem 1) aa + da = xz 28 + 762 = 22120 28 28 aa + 762a = 22120 The second case, by division + 2bc + cc = 22120 + dc Canonical form as above: bb bd or: b + d + 2b + d + c = 22120 b c c Solution. 2˙ 7 2 6 1˙ 2˙ 2 . 0˙ . Since 7 > 2 it is a case of devolution. )3 2 d b b+d bb + bd 2bc + dc + cc d 2b 2b + d 2bc + dc cc 2bc + dc + cc 1 2 7 7 5 b 2 1˙ 6 2 8 6 2 2˙ c 8 0˙ · 2 4 4˙ 8 0˙ 7 6 2 4 ˙8 0 2˙ 6 4 1 6 6 4 6 4 8 0 0 0 0 0 6 c=8 49 The Greate Invention of Algebra Add MS 6782 f.

Wallis himself had never communicated with Descartes who had died in 1650, almost at the beginning of Wallis’s mathematical career, but Pell had met Descartes in the Netherlands in 1646, and tensions had emerged almost immediately. ’113 Pell’s dislike of Descartes was well enough known for John Collins to write of it to Leibniz:114 The said Doctor [Pell], being censorious of others, . . was at last censured by Des Cartes for those assertions, concerning whom the Doctor never had any extraordinary esteem.

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