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Euclid: Elementa

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gre V,1
Ἐὰν ᾖ ὁποσαοῦν μεγέθη ὁποσωνοῦν μεγεθῶν ἴσων τὸ πλῆθος ἕκαστον ἑκάστου ἰσάκις πολλαπλάσιον, ὁσαπλάσιόν ἐστιν ἓν τῶν μεγεθῶν ἑνός, τοσαυταπλάσια ἔσται καὶ τὰ πάντα τῶν πάντων.
Pic2570
eng
If there be any number of magnitudes whatever which are, respectively, equimultiples of any magnitudes equal in multitude, then, whatever multiple one of the magnitudes is of one, that multiple also will all be of all. ma+mb+mc...=m(a+b+c...).
lat Sic
Si fuerint quotcumque quantitates quotcumque quantitatum equalium multitudine queque cuiusque eque multiplex, quam multiplex est una quantitatum unius, tam multiplices erunt et omnes omnium.
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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san
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lat Clavius
No Latin
kin 幾何原本 p. 233
此數幾何。彼數幾何。此之各率。同幾倍於彼之各率。則此之幷率。亦幾倍於彼之幷率。
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