# Scholia in Euclidis Data Ad prop. V.

Scholia in Euclidem, Scholia in Euclidis Data, SCHOLIA.. Ancient Greek.

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

27. Οἷον ὁ ιε πρὸς ἑαυτοῦ μέρος τὸν ῑ λόγον ἔχει τὸν ἡμιόλιον, καὶ πρὸς τὸν λοιπὸν τὸν ε λόγον ἔχει τὸν τριπλασίονα. 28. Τοῦτο ἔοικε τῷ καὶ ἀντιστρέψαντι λόγον ἔχειν δεδομένον. 29. Ὁ αὐτὸς αὐτῷ πεπορίσθω p. 10, 10] δυνατὸν γὰρ τριῶν δοθέντων μεγεθῶν τέταρτον ἀνάλογον εὑρεῖν. 30. Λόγος ἄρα τοῦ ∠ Ζ p. 10, 14] τῶν γὰρ δεδο- μένων μεγεθῶν ὁ λόγος πρὸς ἄλληλα δέδοται. 31. Ἀναστρέψαντι ἄρα p. 10, 16] διὰ τοῦ ὅρου τοῦ ε8· ἀναστροφὴ λόγου ἐστὶ λῆψις τοῦ ἡγουμένου πρὸς τὴν ὑπεροχήν, ὑπερέχει τὸ ἡγούμενον τοῦ ἑπομένου. 32. Λόγος ἄρα καί p. 10, 19] ἴσον γὰρ αὐτῷ ἐπορίσαμεν τὸν τοῦ ∠ Ζ πρὸς ΖΕ.

---

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/.