# Conica β′.

Apollonius of Perga, Conica, β′.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/apollonius-of-perga/conica/%CE%B2%E2%80%B2.

Ταῦτα μὲν κοινῶς ἐπὶ πασῶν τῶν τομῶν δείκνυται, ἐπὶ δὲ τῆς ὑπερβολῆς μόνης· ἐὰν ἡ μὲν ΔΒ ἐφάπτηται, ἡ δὲ ΔΓ τέμνῃ κατὰ δύο σημεῖα τὰ Ε, Γ, τὰ δὲ Ε, Γ περιέχῃ τὴν κατὰ τὸ Β ἁφήν, καὶ τὸ Δ σημεῖον ἐντὸς ᾖ τῆς ὑπὸ τῶν ἀσυμπτώτων περιεχομένης γωνίας, ὁμοίως ἡ ἀπόδειξις γενήσεται· δυνατὸν γὰρ ἀπὸ τοῦ Δ σημείου ἄλλην ἐφαπτομένην ἀγαγεῖν εὐθεῖαν τὴν ΔΑ καὶ τὰ λοιπὰ τῆς ἀποδείξεως ὁμοίως ποιεῖν.

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Apollonius of Perga, Conica, ed. J. L. Heiberg. 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/tlg0550.tlg001.local001/.