# Geodaesia [Sp.] 7.5

Hero of Alexandria, Geodaesia [Sp.], Chapter 7. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/hero-of-alexandria/geodaesia-sp/7.5

Καὶ οὕτω μὲν ἐπὶ τοῦ μέτρου τῶν οὐργυιῶν, ἐπὶ δὲ τοῦ μέτρου τῶν σχοινίων ποίει οὕτω· τὴν μίαν τῶν πλευρῶν πολλαπλασίαζε ἐφʼ ἑαυτήν· ὧν τὸ U+2220ʹ· καὶ ἔστιν ὁ μοδισμός. οἷον ἔστω τετράγωνον ἰσόπλευρον καὶ ὀρθογώνιον, οὗ ἑκάστη τῶν πλευρῶν σχοινίων ϛ· εὑρεῖν τὸ ἐμβαδόν. ποίησον οὕτως· τὰ ϛ ἐπὶ τὰ ϛ· γίνονται λϛ· καὶ ἔστι τὸ ἐμβαδὸν σχοινίων λϛ. ὧν τὸ U+2220΄ γίνεται ιη· καὶ ἔστι γῆς μοδίων ιη.

---

Hero of Alexandria, Geodaesia [Sp.], ed. Johan Ludvig 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/tlg0559.tlg015.local001/.