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Euclid: Elementa

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Euclid: Elementa
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gre VI,20
λέγω, ὅτι τὰ ΑΒΓΔΕ, ΖΗΘΚΛ πολύγωνα εἴς τε ὅμοια τρίγωνα διαιρεῖται καὶ εἰς ἴσα τὸ πλῆθος καὶ ὁμόλογα τοῖς ὅλοις, καὶ τὸ ΑΒΓΔΕ πολύγωνον πρὸς τὸ ΖΗΘΚΛ πολύγωνον διπλασίονα λόγον ἔχει ἤπερ ἡ ΑΒ πρὸς τὴν ΖΗ.
Pic2616
eng
I say that the polygons ABCDE, FGHKL are divided into similar triangles, and into triangles equal in multitude and in the same ratio as the wholes, and the polygon ABCDE has to the polygon FGHKL a ratio duplicate of that which AB has to FG.
lat Sic
Dico quoniam poligonia ABGDE, ZITKL et in similia trigona dividuntur et in equalia multitudine et totis omologa et poligonium ABGDE ad poligonium ZITKL duplam proportionem habet quam recta AB ad ZI.
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
題先言各以角形分之。其角形之分數必等。而相當之各角形各相似。
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