# Synagoge 9

Pappus Alexandrinus, Synagoge, ΠΑΠΠΟΥ ΑΛΕΞΑΝΔΡΕΩΣ ΣΥΝΑΓΩΓΗ. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/pappus-alexandrinus/synagoge/9

9 κ΄. Ἀλλὰ δὴ ἔστωσαν τρεῖς ἀριθμοὶ οἱ Α Β Γ, καὶ ἔστω ἕκαστος αὐτῶν ἐλάσσων μὲν ἑκατοντάδος μετρούμενος δὲ ὑπὸ δεκάδος, ἕκαστος δὲ τῶν ∠ Ε Ζ ἔστω ἐλάσσων δεκάδος, καὶ ἔστωσαν τῶν Α Β Γ πυθμένες οἱ Η Θ Κ, καὶ εἰλήφθω ὁ ἐκ τῶν Η Θ Κ ∠ Ε Ζ στερεὸς καὶ ἔστω ὁ Ξ· ὅτι ὁ ἐκ τῶν Α Β Γ ∠ Ε Ζ στερεὸς ἴσος ἐστὶν χιλίοις τοῖς Ξ. Ἔστι φανερὸν διὰ τῶν ἀριθμῶν, τοῦ Α ὄντος λόγου χάριν μονάδων κ΄ καὶ τοῦ Β μονάδων λ΄ καὶ τοῦ Γ μονάδων μ΄ καὶ τοῦ ∠ μονάδων β΄ καὶ τοῦ Ε μονάδων γ΄ καὶ τοῦ Ζ μονάδων δ΄, τοῦ δὲ Η μονάδων β΄ καὶ τοῦ Θ μονάδων γ΄ καὶ τοῦ Κ μονάδων δ΄ ὁ γὰρ ὑπὸ Α Β Γ ∠ Ε Ζ στερεός ἐστιν μυριάδων νζ΄ ἁπλῶν καὶ μονάδων Ϛ, ὁ δὲ ὑπὸ τῶν Η Θ Κ πυθμένων καὶ τῶν ∠ Ε Ζ ἔσται μονάδων φοϚ΄, αὗται δὲ χιλιάκις γενόμεναι, τουτέστιν ἐκ πάντων στερεός, γίνεται μυριάδων ἁπλῶν νζ΄ καὶ μονάδων Ϛ.

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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/.