Euclid Elements Pdf 166276

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File: Euclid Elements Pdf 166276 | Bologne2014

theory of ratios in euclid s elements book v revisited bologna 2014 september 25th salomon ofman cnrs institut de mathematiques de jussieu paris rive gauche umr7586 univ paris diderot sorbonne ...

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...Theory of ratios in euclid s elements book v revisited bologna september th salomon ofman cnrs institut de mathematiques jussieu paris rive gauche umr univ diderot sorbonne cite universites upmc place imj prg fr why a general the question needs to be asked since contains part called arithmetical books i e vii ix first these already definition ratio and what means for four integers m n p q or have same most important result us is proposition which proves may anachronistically writen equivalent mq pn convenience we consider this last equality as it how define modern need answer simple some centuries ago greek mathematicians found they irrational magnitudes logoi megevth more precisely proved spoke here on subject years there were no lovgo between magnitude diagonal square its side meaning logo thereafter many other such hence everything done until then was useless kind particular not possible get an analogous fundamental multiplication has instance contrary people included spontaneously ...

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Posted on: 25 Jan 2023 | 4 years ago
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