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Euclid: Elementa

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Euclid: Elementa
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gre XΙ,37
Ἐὰν τέσσαρες εὐθεῖαι ἀνάλογον ὦσιν, καὶ τὰ ἀπ᾽ αὐτῶν στερεὰ παραλληλεπίπεδα ὅμοιά τε καὶ ὁμοίως ἀναγραφόμενα ἀνάλογον ἔσται: καὶ ἐὰν τὰ ἀπ᾽ αὐτῶν στερεὰ παραλληλεπίπεδα ὅμοιά τε καὶ ὁμοίως ἀναγραφόμενα ἀνάλογον ᾖ, καὶ αὐταὶ αἱ εὐθεῖαι ἀνάλογον ἔσονται.
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eng
If four straight lines be proportional, the parallelepipedal solids on them which are similar and similarly described will also be proportional; and, if the parallelepipedal solids on them which are similar and similarly described be proportional, the straight lines will themselves also be proportional.
lat Sic
Si quattuor recte proportionales sint, et que ab illis solida equidistantibus planis rectis contenta et similia et similiter descripta proportionalia erunt. Et si que ex illis solida equidistantibus planis contenta rectis et similia et similiter descripta proportionalia sint, et (ipse) quoque recte proportionales erunt.
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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per Shirazi
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san
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lat Clavius
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kin 幾何原本
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