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Euclid: Elementa

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gre V,0
ιβ᾽ Ἐναλλὰξ λόγος ἐστὶ λῆψις τοῦ ἡγουμένου πρὸς τὸ ἡγούμενον καὶ τοῦ ἑπομένου πρὸς τὸ ἑπόμενον.
eng
12. Alternate ratio means taking the antecedent in relation to the antecedent and the consequent in relation to the consequent.
lat Sic
Permutatim proportio est sumptio antecedentis ad antecedens et consequentis ad consequens.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
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ara Tuṣi
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ara Nairizi
No Arabic
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 225
第十二界
有屬理。更前與前。更後與後。
此下說比例六理。皆後論所需也。
四幾何。甲與乙之比例。若丙與丁。今更推甲與丙。若乙與丁、為屬理。 下言屬理。皆省曰更。
此論未證證。見本卷十六。
此界之理。可施於四率同類之比例。若兩線、兩面。或兩面、兩數等。不為同類。卽不得相更也。
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