# Geodaesia [Sp.] 12.1

Hero of Alexandria, Geodaesia [Sp.], Chapter 12. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/hero-of-alexandria/geodaesia-sp/12.1

Παντὸς τριγώνου δοθέντος εὑρίσκειν τὸ ἐμβαδόν. ποίει οὕτως· συντίθει τὸν ἀριθμὸν τῶν τριῶν πλευρῶν ὁμοῦ καὶ τῶν συναγομένων λάμβανε τὸ U+2220ʹ καὶ ἀπὸ τούτων πάλιν ἀφαίρει ἑκάστης πλευρᾶς ἀριθμὸν καὶ τῶν ὑπολιμπανομένων τον μὲν τῆς μιᾶς πλευρᾶς πολλαπλασίαζε ἐπὶ τὸν U+2220ʹ τοῦ ἀπὸ τῆς συνθέσεως τῶν πλευρῶν, τὸν δὲ τῆς ἑτέρας ἐπὶ τὸν γεγονότα ἀπὸ τοῦ προτέρου πολλαπλασιασμοῦ, καὶ αὖθις τὸν τῆς λοιπῆς πλευρᾶς ἐπὶ τὸν γεγονότα ἀπὸ τοῦ δευτέρου πολλαπλασιασμοῦ· καὶ τοῦ γεγονότος λαβὲ τὴν τετραγωνικὴν πλευράν· καὶ τοῦτο ἔσται τὸ ἐμβαδόν.

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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/.