# Scholia in Euclidis Data Ad prop. XXXIII demonstr. alt.

Scholia in Euclidem, Scholia in Euclidis Data, APPENDIX SCHΟLIΟRUM.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/scholia-in-euclidem/scholia-in-euclidis-data/Ad%20prop.%20XXXIII%20demonstr.%20alt.

2. P. 198, 1] ὅτι τὸν αὐτὸν ἀεὶ τόπον ἐπέχουσιν. ~ αἳ γὰρ περιέχουσαί εἰσιν εὐθεῖαι, τῇ θέσει δεδομέναι εἰσίν. 3. Τῶν γὰρ αὐτὸν ἀεὶ τόπον ἐπέχουσιν αἱ ΒΗ, Η∠. 4. Τουτέστι τῇ ΗΒ p. 198, 6] αἱ γὰρ ΗΒ, Η∠ ἴσαι εἰσίν· ἐκ τοῦ κέντρου γάρ εἰσι τοῦ κύκλου· ἐξ ἀρχῆς δὲ ἐτέθη ἴση τῇ ΕΖ ἡ Η∠. 5. Ἴση ἄρα ἐστὶ καὶ ἡ ΖΘ τῇ ΘΗ p. 198, 7] ἐὰν τριγώνου παρὰ μίαν τῶν πλευρῶν εὐθεῖα γραμμὴ ἀνάλογον τέμῃ τὰς τοῦ τριγώνου πλευράς, ἔστιν ἄρα ὡς ἡ ΕΖ πρὸς ΖΘ, ἡ ΒΗ πρὸς ΗΘ· ἴση δὲ ἡ ΕΖ τῇ ΒΗ· ἴση ἄρα καὶ ἡ ΖΘ τῇ ΗΘ. 6. Δοθεῖσα δὲ ἡ ὑπὸ ΘΗΖ p. 198, 8–9] ἡ γὰρ κατὰ κορυφὴν αὐτῇ ἡ ὑπὸ ΒΗ∠ δοθεῖσά ἐστιν, ὡς ἐδείχθη ἀνωτέρω.

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Scholia in Euclidem, Scholia in Euclidis Data, ed. Heinrich Menge. 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/tlg5022.tlg002.local001/.