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Euclid: Elementa

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Euclid: Elementa
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gre VI,22
Ἐὰν τέσσαρες εὐθεῖαι ἀνάλογον ὦσιν, καὶ τὰ ἀπ᾽ αὐτῶν εὐθύγραμμα ὅμοιά τε καὶ ὁμοίως ἀναγεγραμμένα ἀνάλογον ἔσται: κἂν τὰ ἀπ᾽ αὐτῶν εὐθύγραμμα ὅμοιά τε καὶ ὁμοίως ἀναγεγραμμένα ἀνάλογον ᾖ, καὶ αὐταὶ αἱ εὐθεῖαι ἀνάλογον ἔσονται.
Pic2618
eng
If four straight lines be proportional, the rectilineal figures similar and similarly described upon them will also be proportional; and, if the rectilineal figures similar and similarly described upon them be proportional, the straight lines will themselves also be proportional.
lat Sic
Si quattuor recte proportionales fuerint, et que ab ipsis rectilinea et similia et similiter descripta proportionalia erunt. Et si que ab ipsis rectilinea proportionalia fuerint et similia et similiter scripta, et ipse recte proportionales erunt.
lat Gerard
No Latin
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
No Arabic
ara Tuṣi
No Arabic
ara Nairizi
No Arabic
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 318
四直線為斷比例。則兩比例線上、各任作自相似之直線形。亦為斷比例。兩比例線上、各任作自相似之直線形、為斷比例。則四直線亦為斷比例。
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