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Euclid: Elementa

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Euclid: Elementa
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gre V,19
[Καὶ ἐπεὶ ἐδείχθη ὡς τὸ ΑΒ πρὸς τὸ ΓΔ, οὕτως τὸ ΕΒ πρὸς τὸ ΖΔ, καὶ ἐναλλὰξ ὡς τὸ ΑΒ πρὸς τὸ ΒΕ οὕτως τὸ ΓΔ πρὸς τὸ ΖΔ, συγκείμενα ἄρα μεγέθη ἀνάλογόν ἐστιν:
ἐδείχθη δὲ ὡς τὸ ΒΑ πρὸς τὸ ΑΕ, οὕτως τὸ ΔΓ πρὸς τὸ ΓΖ:
καί ἐστιν ἀναστρέψαντι].
Pic2588
eng
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lat Sic
Et quoniam ostensum est ut AB ad GD ita EB ad ZD, et permutatim ut AB ad BE ita GD ad DZ, composite ergo quantitates proportionales erunt.
Demonstratum est autem ut BA ad AE ita DG ad GZ et est convertenti.
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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per Shirazi
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lat Clavius
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kin 幾何原本
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