{"schemaVersion":2,"id":"tlg0559.tlg006.local001","url":"https://thegreeklibrary.org/works/tlg0559.tlg006.local001/","urn":"urn:cts:greekLit:tlg0559.tlg006.local001","title":"Metrica","titleGreek":null,"alternateTitles":[],"author":"Hero of Alexandria","authorityName":"HERON Mech.","authorUrl":"https://thegreeklibrary.org/authors/tlg0559-heron-mech/","authorityUrl":"https://thegreeklibrary.org/authors/tlg0559-heron-mech/","editors":["Hermann Schöne"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Herons Von Alexandria Vermessungslehre und Dioptra","edition":null,"publisher":"Teubner","place":"Leipzig","date":"1903","volume":"3","series":"Heronis Alexandrini Opera Quae Superunt Omnia","citation":null,"citationShort":null},"rights":{"text":"Available under a Creative Commons Attribution-ShareAlike 4.0 International License","url":"https://creativecommons.org/licenses/by-sa/4.0/"},"provenance":{"authority":"Harvard College Library","sponsors":[],"funders":["Harvard Library Arcadia Fund"],"principal":"Gregory Crane","responsibilities":[{"role":"Corrected and encoded the text","names":[]},{"role":"Editor-in-Chief, Perseus Digital Library","names":[]},{"role":"Project Manager (University of Leipzig)","names":[]},{"role":"Project Assistant (University of Leipzig)","names":[]},{"role":"Lead Developer (University of Leipzig) 2015 - 2017","names":[]},{"role":"Technical Advisor (Mount Allison University)","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"https://archive.org/details/heronisalexandr00schogoog/page/1/mode/2up","sourceLinkType":null,"sourceRights":null,"citation":"Hero Of Alexandria. Metrica. ed. Hermann Schöne. Herons Von Alexandria Vermessungslehre und Dioptra, Leipzig, Teubner, 1903. urn:cts:greekLit:tlg0559.tlg006.local001","excerpt":"sell. Cpolit. n.1 fol. 67r. Ἡ πρώτη γεωμετρία, ὡς ὁ παλαιὸς ἡμᾶς διδάσκει λόγος, περὶ τὰς ἐν τῇ γῇ μετρήσεις καὶ διανομὰς κατησχολεῖτο, ὅθεν καὶ γεωμετρία ἐκλήθη· χρειώδους δὲ τοῦ πράγματος τοῖς ἀνθρώποις ὑπάρχοντος ἐπὶ πλέον προήχθη τὸ γένος, ὥστε καὶ ἐπὶ τὰ στερεὰ σώματα χωρῆσαι τὴν διοίκησιν τῶν τε μετρήσεων καὶ διανομῶν· καὶ ἐπειδὴ οὐκ ἐξήρκει τὰ πρῶτα ἐπινοηθέντα θεωρήματα, προσεδέηθησαν ἔτι περισσοτέρας ἐπισκέψεως, ὥστε καὶ μέχρι νῦν τινὰ αὐτῶν ἀπορεῖσθαι, καίτοι Ἀρχιμήδους τε καὶ Εὐδόξου γενναίως ἐπιβεβληκότων τῇ πραγματείᾳ. ἀμήχανον γὰρ ἦν πρὸ τῆς Εὐδόξου ἐπινοίας ἀπόδειξιν ποιήσασθαι, διʼ ἧς ὁ κύλινδρος τοῦ κώνου τοῦ τὴν αὐτὴν βάσιν ἔχοντος αὐτῷ καὶ ὕψος ἴσον τριπλάσιός ἐστι, καὶ ὅτι οἱ κύκλοι πρὸς ἀλλήλους εἰσὶν ὡς ἀπὸ τῶν διαμέτρων τετράγωνα πρὸς ἄλληλα. καὶ πρὸς τῆς Ἀρχιμήδους συνέσεως ἄπιστον ἦν ἐπινοῆσαι, διότι ἡ τῆς σφαίρας ἐπιφάνεια τετραπλασία ἐστὶ τοῦ μεγίστου κύκλου…","divisions":[{"label":"ΗΡΩΝΟΣ ΜΕΤΡΙΚΩΝ Α","url":"https://thegreeklibrary.org/works/tlg0559.tlg006.local001/#tlg0559-tlg006-local001-1"},{"label":"ΗΡΩΝΟΣ ΜΕΤΡΙΚΩΝ Β","url":"https://thegreeklibrary.org/works/tlg0559.tlg006.local001/#tlg0559-tlg006-local001-2"},{"label":"ΗΡΩΝΟΣ ΜΕΤΡΙΚΩΝ Γ","url":"https://thegreeklibrary.org/works/tlg0559.tlg006.local001/#tlg0559-tlg006-local001-3"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0559.tlg006.local001/","json":"https://thegreeklibrary.org/api/works/tlg0559.tlg006.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0559/tlg006/local001.json.gz"}}