# Synagoge 3.31

Pappus Alexandrinus, Synagoge, Book 3. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/3.31

31 Ἔστω κύκλος οὗ κέντρον μὲν τὸ Β, ἡ δὲ ἐκ τοῦ κέντρου ἡ ΒΑ. κεκινήσθω ἡ ΒΑ εὐθεῖα οὕτως ὥστε τὸ μὲν Β μένειν, τὸ δὲ Α ὁμαλῶς φέρεσθαι κατὰ τῆς τοῦ κύκλου περιφερείας, ἅμα δὲ αὑτῇ ἀρξάμενόν τι σημεῖον ἀπὸ τοῦ Β φερέσθω κατʼ αὑτῆς ὁμαλῶς ὡς ἐπὶ τὸ Α, καὶ ἐν ἴσῳ χρὸνῳ τό τε ἐπὸ τοῦ Β σημεῖον τὴν ΒΑ διερχέσθω καὶ τὸ Α τὴν τοῦ κύκλου περιφέρειαν γράψει δὴ τὸ κατὰ τὴν ΒΑ κινούμενον σημεῖον ἐν τῇ περιφορᾷ γραμμὴν οἵα ἐστὶν ἡ ΒΕΖΑ, καὶ ἀρχὴ μὲν αὐτῆς ἔσται τὸ Β σημεῖον, ἁρχὴ δὲ τῆς περιφορᾶς ἡ ΒΑ, αὐτὴ δὲ ἡ γραυμὴ ἕλιξ καλεῖται. καὶ τὸ ἀρχικὸν αὑτῆς ἐστι σύμπτωμα τοιοῦτον.

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Pappus Alexandrinus, Synagoge, ed. Friedrich Hultsch. 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/tlg2032.tlg001.local001/.