# Synagoge 3.60

Pappus Alexandrinus, Synagoge, Book 3. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/3.60

60 Παραλληλογράμμου δοθέντος ὀρθογωνίου τοῦ ΑΒΓ∠ καὶ ἐκβληθείσης τῆς ΒΓ, δέον ἔστω διαγαγόντα τὴν ΑΕ ποιεῖν τὴν ΕΖ εὐθεῖαν ἴσην τῇ δοθείσῃ. Γεγονέτω, καὶ ταῖς ΕΖ Ε∠ παράλληλοι ἤχθωσαν αἱ ∠Η ΗΖ. ἐπεὶ οὖν δοθεῖσά ἐστιν ἡ ΖΕ καὶ ἔστιν ἴση τῇ ∠Η, δοθεῖσα ἄρα καὶ ἡ ∠Η. καὶ δοθέν τὸ ∠· τὸ Η ἄρα πρὸς θέσει κύκλου περιψερείᾳ. καὶ ἐπεὶ τὸ ὑπὸ ΒΓ∠ δοθέν καὶ ἔστιν ἴσον τῷ ὑπὸ ΒΖ Ε∠ δοθὲν ὥρα καὶ τύ ὑπὸ ΒΖ Ε∠, τουτέστιν τὸ ὑπὸ ΒΖΗ· τὸ Η ἄρα πρὸς ὑπερβολῇ. ἀλλὰ καὶ πρὸς θέσει κύκλου περιφερείᾳ· δοθὲν ἄρα τὸ Η.

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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/.