Bibliotheca Polyglotta

Euclid: Elementa

Πόρισμα
Ἐκ δὴ τούτου φανερόν, ὅτι, ἐὰν ὦσι δύο γωνίαι ἐπίπεδοι ἴσαι, ἐπισταθῶσι δὲ ἐπ᾽ αὐτῶν μετέωροι εὐθεῖαι ἴσαι ἴσας γωνίας περιέχουσαι μετὰ τῶν ἐξ ἀρχῆς εὐθειῶν ἑκατέραν ἑκατέρᾳ, αἱ ἀπ᾽ αὐτῶν κάθετοι ἀγόμεναι ἐπὶ τὰ ἐπίπεδα, ἐν οἷς εἰσιν αἱ ἐξ ἀρχῆς γωνίαι, ἴσαι ἀλλήλαις εἰσίν.

eng

PORISM.
From this it is manifest that, if there be two equal plane angles, and if there be set up on them elevated straight lines which are equal and contain equal angles with the original straight lines respectively, the perpendiculars drawn from their extremities to the planes in which are the original angles are equal to one another.

lat Sic

(Porisma)
Ex hoc manifestum quoniam si sint duo anguli plani rectilinei equales, statuantur autem super eos elevate recte equales equales angulos continentes cum principalibus rectis, singulos singulis, qui ab ipsis catheti ducti ad plana in quibus sunt principales anguli equales ad se invicem sunt.

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