# Scholia in Euclidis Data Ad prop. XIV.

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.%20XIV.

64. P. 26, 17] κἄν τε ἴσα ᾖ τὰ ΑΕ, ΓΖ κἄν τε ἄνισα. 65. Λόγος ἄρα τοῦ ΕΑ p. 26, 21–22] τῶν γὰρ δεδομένων μεγεθῶν ὁ λόγος πρὸς ἄλληλα δέδοται. 66. Λόγος ἄρα καὶ τοῦ ΗΒ p. 28, 6–7] διὰ τὸ ιβ΄ τοῦ ε΄ καὶ διὰ τὸ ἀντιστρόφιον τοῦ ὅρου. ἐπεὶ δέδοται ὁ τοῦ ΑΒ πρὸς Γ∠ λόγος καί ἐστιν ὁ αὐτὸς ὁ τοῦ ΗΑ πρὸς ΖΓ. δέδοται καὶ οὕτως ὁ τοῦ ΗΒ πρὸς Ζ∠. 67. Ἐὰν δὲ ποιήσωμεν ὡς τὸ ΑΒ πρὸς τὸ Γ∠, οὕτως τὸ ΑΕ πρὸς τὸ ἀπὸ τοῦ Γ ὡς ἐπὶ τὸ Ζ, εὑρε- θήσεται τὸ Ζ∠ τοῦ ΕΒ δοθέντι μεῖζον ἢ ἐν λόγῳ. Ad prop. XV. 68. Τοῦτο ἀντιστρόφιόν πως τοῦ πρὸ αὐτοῦ. δείξας γάρ, ὅτι ἐὰν προστεθῇ δεδομένα μεγέθη τοῖς δεδο- μένον ἔχουσι λόγον, νῦν καὶ ἀφαιρῶν τὰ αὐτὰ τῶν αὐτῶν δείκνυσι τὸ αὐτό.

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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/.