# Liber geeponicus [Sp.] 78

Hero of Alexandria, Liber geeponicus [Sp.], Chapter 78. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/hero-of-alexandria/liber-geeponicus-sp/78

Εὑρεῖν δύο χωρία τετράγωνα, ὅπως τὸ τοῦ πρώτου ἐμβαδὸν τοῦ δευτέρου ἐμβαδοῦ ἔσται τριπλάσιον· ποιῶ οὕτως· τὰ γ΄ κύβισον· γίνονται κζ΄· ταῦτα δὶς γίνονται νδ΄· νῦν ἆρον μονάδα α΄· λοιπὸν νγ΄· ἔσται οὖν ἡ μὲν μία πλευρὰ ποδῶν νϚ΄, ἡ δὲ ἑτέρα πλευρὰ ποδῶν νδ΄. καὶ τοῦ ἄλλου χωρίου οὕτως· θὲς ὁμοῦ τὰ νγ΄ καὶ τὰ νδ΄· γίνονται πόδες ρζ΄· ταῦτα ποίει ἐπὶ τὰ γ΄ λοιπὸν γίνονται πόδες τιη΄· ἔσται οὖν ἡ τοῦ προτέρου πλευρὰ ποδῶν τιη΄· ἡ δὲ ἑτέρα πλευρὰ ποδῶν γ΄· τὰ ἐμβαδὰ τοῦ ἑνὸς γίνονται τμδ΄, καὶ τοῦ ἄλλου πόδες βωξβ΄.

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Hero of Alexandria, Liber geeponicus [Sp.], 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/tlg0559.tlg016.local001/.