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Euclid: Elementa

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Euclid: Elementa
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Now E, F are equimultiples of A, B, and G, H other, chance, equimultiples of C, D; therefore, as A is to C, so is B to D. [V. Def. 5]
lat Clavius
1 Est igitur A, prima ad C, secundam, ut B, tertia ad D, quartam (cum E, et F, sint aeque multiplices primae A, ac tertiae B; At G, et H, aeque multiplices C, secundae, et D, quartae, et illae ab his una deficiant, vel una aequales sint, vel una excedant, etc.) quod est propositum.
1. 6. defin. quinti.
kin 幾何原本
則倍一甲之戊。倍三乙之己。與倍二丙之庚。倍四丁之辛。其等、大、小、必同類也。而甲與丙。若乙與丁矣。
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