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Euclid: Elementa

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gre V,13
Ἐὰν πρῶτον πρὸς δεύτερον τὸν αὐτὸν ἔχῃ λόγον καὶ τρίτον πρὸς τέταρτον, τρίτον δὲ πρὸς τέταρτον μείζονα λόγον ἔχῃ ἢ πέμπτον πρὸς ἕκτον, καὶ πρῶτον πρὸς δεύτερον μείζονα λόγον ἕξει ἢ πέμπτον πρὸς ἕκτον.
Pic2582
eng
If a first magnitude have to a second the same ratio as a third to a fourth, and the third have to the fourth a greater ratio than a fifth has to a sixth, the first will also have to the second a greater ratio than the fifth to the sixth. If a:b=c:d and c:d>e:f, then a:b>e:f.
lat Sic
Si primum ad secundum eandem habeat proportionem et tertium ad quartum, tertium autem ad quartum maiorem habeat proportionem quam quintum ad sextum, et primum ad secundum maiorem proportionem habebit quam quintum ad sextum.
lat Gerard
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lat Adelard
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lat Hermann
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ara Uppsala
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ara Tuṣi
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ara Nairizi
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san
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lat Clavius
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kin 幾何原本 p. 249
數幾何。第一與二之比例。若第三與四之比例。而第三與四之比例。大於第五與六之比例。則第一與二之比例亦大於第五與六之比例。
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