# Synagoge 17-2

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

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/17-2

17 ε΄. Η Α πρὸς Β ἐλάσσονα λόγον ἐχέτω ἤπερ ἡ Γ πρὸς ∠· ὅτι καὶ ἐναλλὰξ ἡ Α πρὸς Γ ἐλάσσονα λόγον ἔχει ἤπερ ἡ Β πρὸς τὴν ∠ Πεποιήσθω ὡς ἡ Α πρὸς Β, οὕτως ἡ Γ πρὸς Ε· μείζων ἄρα ἐστὶν ἡ Ε τῆς ∠. ἐπεὶ οὖν ἐστιν ὡς ἡ Α πρὸς Β, οὕτως ἡ Γ πρὸς Ε, ἐναλλὰξ ἄρα ὡς ἡ Α πρὸς Γ, οὕτως ἡ Β πρὸς Ε. ἡ δὲ Β πρὸς Ε ἐλάσσονα λόγον ἔχει ἤπερ ἡ Β πρύς ∠· καὶ ἡ Α ἄρα πρὸς Γ ἐλάσσονα λύγον ἔχει ἤπερ ἡ Β πρὸς ∠.

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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/.