{"schemaVersion":2,"id":"tlg0559.tlg009.local001","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/","urn":"urn:cts:greekLit:tlg0559.tlg009.local001","title":"Geometrica","titleGreek":null,"alternateTitles":[],"author":"Anonymous","authorityName":"HERON Mech.","authorUrl":null,"authorityUrl":"https://thegreeklibrary.org/authors/tlg0559-heron-mech/","editors":[],"publication":{"digitalPublisher":"Corpus local","sourceTitle":null,"edition":null,"publisher":null,"place":null,"date":null,"volume":null,"series":null,"citation":"Geometrica, ed. Heiberg, op. cit., vol. 4, 172– 448. Cod: 32,879: Math.","citationShort":"Geometrica, ed. Heiberg, op. cit., vol. 4, 172– 448."},"rights":{"text":"Document TEI P5 local en UTF-8.","url":null},"provenance":{"authority":null,"sponsors":[],"funders":[],"principal":null,"responsibilities":[]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-29","sourceUrl":"https://maximus.tlg.uci.edu/canon.php","sourceLinkType":"catalogue","sourceRights":null,"citation":"Geometrica. Geometrica, ed. Heiberg, op. cit., vol. 4, 172– 448.. urn:cts:greekLit:tlg0559.tlg009.local001","excerpt":"σφήν, μείουρος, πυραμὶς ἐπὶ τριγώνου, πυραμὶς κό- λουρος, θέατρον. Εἰσὶ δὲ καὶ ὅροι τῆς μετρήσεως ἐστηριγμένοι οἵδε· παντὸς τριγώνου αἱ δύο πλευραὶ τῆς λοιπῆς μείζονές εἰσι πάντη μεταπαρηλλαγμέναι, καὶ παντὸς τριγώνου ὀρθογωνίου τὰ ἀπὸ τῶν περὶ τὴν ὀρθὴν γωνίαν δύο πλευρῶν τετράγωνα ἴσα ἐστὶν τῷ ἀπὸ τῆς ὑποτει- νούσης τετραγώνῳ, καὶ παντὸς κύκλου ἡ περίμετρος τῆς διαμέτρου τριπλασίων ἐστὶ καὶ τῷ ζʹ μείζων, καὶ ἕνδεκα τετράγωνα ἀπὸ τῆς διαμέτρου τοῦ κύκλου ἴσα ἐστὶν ἐμβαδοῖς δεκατέτρασι κύκλων.","divisions":[{"label":"3","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-3"},{"label":"4","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-4"},{"label":"5","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-5"},{"label":"6","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-6"},{"label":"7","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-7"},{"label":"8","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-8"},{"label":"9","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-9"},{"label":"10","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-10"},{"label":"11","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-11"},{"label":"12","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-12"},{"label":"13","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-13"},{"label":"14","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-14"},{"label":"15","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-15"},{"label":"16","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-16"},{"label":"17","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-17"},{"label":"18","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-18"},{"label":"19","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-19"},{"label":"20","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-20"},{"label":"21","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-21"},{"label":"22","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-22"},{"label":"23","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-23"},{"label":"24","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-24"},{"label":"Section 23","url":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/#tlg0559-tlg009-local001-segment-1"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0559.tlg009.local001/","json":"https://thegreeklibrary.org/api/works/tlg0559.tlg009.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0559/tlg009/local001.json.gz"}}