# Phaenomena 13b

Euclid, Phaenomena, Chapter 13b. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/euclid/phaenomena/13b

Τοῦ τῶν ζῳδίων κύκλου τῶν ἴσων περιφερειῶν καὶ ἴσον ἀπεχουσῶν ἀπὸ τῆς τροπικῆς συναφῆς ὁπότεραςοῦν, ἐν ᾧ ἡ ἑτέρα ἀνατέλλει, ἡ ἑτέρα δύνει καὶ τὸ ὸ ἀνάπαλιν. ἔστω ἐν κόσμῳ ὁρίζων κύκλος ὁ ΑΒΓ∠, θερινὸς δὲ ὁ Α∠, χειμερινὸς δὲ ὁ ΒΓ, ὁ δὲ τῶν ζῳδίων κύκλος θέσιν ἐχέτω τὴν ΒΕ∠, καὶ ἀπειλήφθωσαν ἴσαι τε καὶ ἴσον ἀπέχουσαι τῆς τροπικῆς συναφῆς περιφέρειαι αἱ ΕΖ, ΗΘ λέγω, ὅτι ἐν ᾧ ἡ ΕΖ ἀνατέλλει, ἡ ΗΘ δύνει. ὑποκείσθω, ὅτι τὸ μετὰ τὸν Καρκίνον ἡμικύκλιον τὸ Β Θ∠ δύνει. εἰλήφθω δὲ τῇ ΗΘ ἴση τε καὶ ἀπεναντίον ἡ ΚΛ περιφέρεια οὖσα τοῦ μετὰ τὸν Αἰγόκερων ἡμικυκλίου. αἱ ΚΛ, ΕΖ ἄρα ἴσον ἀπέχουσαι τοῦ τε ἰσημερινοῦ καὶ τῶν τροπικῶν συναφῶν ἐν ἴσῳ χρόνῳ ἀνατέλλουσιν· ἀλλʼ ἐν ἡ ΚΛ ἀνατέλλει, ἡ ἀπεναντίον ἡ ΘΗ δύνει· καὶ ἐν ᾧ ἄρα ἡ ΕΖ ἀνατέλλει, ἡ ΘΗ δύνει καὶ τὸ ἀνάπαλιν. ὅπερ ἔδει

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Euclid, Phaenomena, 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/tlg1799.tlg012.local001/.