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Euclid: Elementa

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Euclid: Elementa
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gre VΙΙI,19
Δύο ὁμοίων στερεῶν ἀριθμῶν δύο μέσοι ἀνάλογον ἐμπίπτουσιν ἀριθμοί: καὶ ὁ στερεὸς πρὸς τὸν ὅμοιον στερεὸν τριπλασίονα λόγον ἔχει ἤπερ ἡ ὁμόλογος πλευρὰ πρὸς τὴν ὁμόλογον πλευράν.
Pic2688
eng
Between two similar solid numbers there fall two mean proportional numbers; and the solid number has to the similar solid number the ratio triplicate of that which the corresponding side has to the corresponding side.
lat Sic
Duobus similibus solidis numeris duo medii proportionales incidunt numeri, et solidus ad similem solidum triplam proportionem habet quam omologum latus ad omologum latus.
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
.
san
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lat Clavius
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kin 幾何原本
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