Bibliotheca Polyglotta

Euclid: Elementa

Ἔστω ἐκ δύο μέσων δευτέρα ἡ ΑΒ διῃρημένη κατὰ τὸ Γ, ὥστε τὰς ΑΓ, ΓΒ μέσας εἶναι δυνάμει μόνον συμμέτρους μέσον περιεχούσας: φανερὸν δή, ὅτι τὸ Γ οὐκ ἔστι κατὰ τῆς διχοτομίας, ὅτι οὐκ εἰσὶ μήκει σύμμετροι.

eng

Let AB be a second bimedial straight line divided at C, so that AC, CB are medial straight lines commensurable in square only and containing a medial rectangle; [X. 38 ] it is then manifest that C is not at the point of bisection, because the segments are not commensurable in length.

lat Sic

Esto ex duabus mediis secunda AB divisa secundum G. Quare rectas AG, GB medias esse potentia solum commensurabiles medium continentes. Manifestum ergo quoniam punctum G non est secundum inequalia sectionem, quoniam quidem non sunt longitudine commensurabiles.

No Latin

No Latin

No Latin

No Arabic

No Arabic

No Arabic