Bibliotheca Polyglotta

Euclid: Elementa

Τὰ ὅμοια πολύγωνα εἴς τε ὅμοια τρίγωνα διαιρεῖται καὶ εἰς ἴσα τὸ πλῆθος καὶ ὁμόλογα τοῖς ὅλοις, καὶ τὸ πολύγωνον πρὸς τὸ πολύγωνον διπλασίονα λόγον ἔχει ἤπερ ἡ ὁμόλογος πλευρὰ πρὸς τὴν ὁμόλογον πλευράν.

eng

Similar polygons are divided into similar triangles, and into triangles equal in multitude and in the same ratio as the wholes, and the polygon has to the polygon a ratio duplicate of that which the corresponding side has to the corresponding side.

lat Sic

Similia poligonia et in similia trigona dividuntur et in equalia multitudine et totis omologa. Et poligonium ad poligonium duplam proportionem habet quam latus omologum ad omologum latus.

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san

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lat Clavius

Si sint tres magnitudines, et aliae ipsis aequales numero, quae binae, et in eadem ratione sumantur; ex aequo autem prima quam tertia, maior fuerit; Erit et quarta quam sexta, maior. Quod si prima quam tertia fuerit aequalis, erit et quarta aequalis sextae; sin illa minor, haec quoque minor erit.

kin 幾何原本 p. 313

以三角形、分相似之多邊直線形。則分數必等。而相當之各三角形、各相似。其各相當兩三角形之比例。若兩元形之比例。其元形之比例。為兩相似邊再加之比例。

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