# Synagoge 78

Pappus Alexandrinus, Synagoge, ΠΑΠΠΟΥ ΑΛΕΞΑΝΔΡΕΩΣ ΣΥΝΑΓΩΓΗΣ Γ.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/78

78 μβ΄. Ἔστωσαν ἐν παραλλήλοις ἐπιπέδοις παράλληλοι εὐθεῖαι αἱ ΑΕ ΓΖ, καὶ ἐν τοῖς αὐτοῖς ἐπιπέδοις διήχθωσαν αἱ ΑΒ Γ∠ ἐπὶ τὰ αὐτὰ μέρη τοῦ διὰ τῶν ΑΕ ΓΖ ἐκβαλλομένου ἐπιπέδου ἴσας γωνίας ποιοῦσαι τὰς ὑπὸ ΒΑΕ ∠ΓΖ· ὅτι καὶ αἱ ΑΒ Γ∠ παράλληλοί εἰσι, τουτἐστιν ὅτι ἐκβληθὲν τὸ διὰ τῶν Β Α Γ σημείων ἐπίπεδον ποιεῖ ἐν τῷ διὰ τῶν △ Γ Ζ ἐπιπέδῳ τὴν Γ∠. Εἰ γὰρ ἑτέραν ποιήσει ἐκεῖ, περιέξει μετὰ τῆς ΓΖ γωνίαν ἴσην τῇ ὑπὸ ΒΑΕ, ὅπερ ἐστὶν ἀδύνατον ἴση γὰρ ὑπύκειται ἡ ὑπὸ ΒΑΕ τῇ ὑπὸ ∠ΓΖ.

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Pappus Alexandrinus, Synagoge, ed. Friedrich Hultsch. Text: The Greek Library, from the Perseus Digital Library and other open sources, CC BY-SA 4.0. Changes: apostrophes normalised and the text divided into reading sections by Interlinea.
License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Source: https://thegreeklibrary.pages.lisn.upsaclay.fr/works/tlg2032.tlg001.local001/.