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Euclid: Elementa

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Euclid: Elementa
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gre VI,17
Ἐὰν τρεῖς εὐθεῖαι ἀνάλογον ὦσιν, τὸ ὑπὸ τῶν ἄκρων περιεχόμενον ὀρθογώνιον ἴσον ἐστὶ τῷ ἀπὸ τῆς μέσης τετραγώνῳ: κἂν τὸ ὑπὸ τῶν ἄκρων περιεχόμενον ὀρθογώνιον ἴσον ᾖ τῷ ἀπὸ τῆς μέσης τετραγώνῳ, αἱ τρεῖς εὐθεῖαι ἀνάλογον ἔσονται.
Pic2613
eng
If three straight lines be proportional, the rectangle contained by the extremes is equal to the square on the mean; and, if the rectangle contained by the extremes be equal to the square on the mean, the three straight lines will be proportional.
lat Sic
Si tres recte proportionales fuerint, contentum sub extremis orthogonium equale est ei quod a media tetragono. Et si contentum sub extremis orthogonium equale fuerit ei quod a media tetragono, ille tres recte proportionales erunt.
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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per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本 p. 308
三直線為連比例。卽首尾兩線、矩內直角形。與中線上直角方形、等。首尾線矩內直角形、與中線上直角方形、等。卽三線為連比例。
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