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Euclid: Elementa

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gre V,24
Ἐὰν πρῶτον πρὸς δεύτερον τὸν αὐτὸν ἔχῃ λόγον καὶ τρίτον πρὸς τέταρτον, ἔχῃ δὲ καὶ πέμπτον πρὸς δεύτερον τὸν αὐτὸν λόγον καὶ ἕκτον πρὸς τέταρτον, καὶ συντεθὲν πρῶτον καὶ πέμπτον πρὸς δεύτερον τὸν αὐτὸν ἕξει λόγον καὶ τρίτον καὶ ἕκτον πρὸς τέταρτον.
Pic2593
eng
If a first magnitude have to a second the same ratio as a third has to a fourth, and also a fifth have to the second the same ratio as a sixth to the fourth, the first and fifth added together will have to the second the same ratio as the third and sixth have to the fourth. If a:c=d:f and b:c=e:f then (a+b):c=(d+e):f.
lat Sic
Si prima ad secundam eandem habeat proportionem et tertia ad quartam, habeat autem et quinta ad seeundam eandem proportionem et sexta ad quartam, et composite prima et quinta ad seeundam eandem babent proportionem et tertia et sexta ad quartam.
lat Gerard
No Latin
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
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 267
凡第一與二幾何之比例。若第三與四幾何之比例。而第五與二之比例。若第六與四。則第一第五幷。與二之比例。若第三第六幷。與四。
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