{"schemaVersion":2,"id":"tlg0559.tlg010.local001","url":"https://thegreeklibrary.org/works/tlg0559.tlg010.local001/","urn":"urn:cts:greekLit:tlg0559.tlg010.local001","title":"Stereometrica","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":["Johan Ludvig Heiberg"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Heronis quae feruntur sterometrica et de mensuris","edition":null,"publisher":"Teubner","place":"Leipzig","date":"1914","volume":"5","series":"Heronis Alexandrini opera quae supersunt 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"],"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) 2015 - 2017","names":[]},{"role":"Lead Developer (University of Leipzig) 2015 - 2017","names":[]},{"role":"Technical Advisor","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"https://hdl.handle.net/2027/mdp.39015017390389?urlappend=%3Bseq=13","sourceLinkType":null,"sourceRights":null,"citation":"Hero Of Alexandria. Stereometrica. ed. Johan Ludvig Heiberg. Heronis quae feruntur sterometrica et de mensuris, Leipzig, Teubner, 1914. urn:cts:greekLit:tlg0559.tlg010.local001","excerpt":"CM Σφαίρας δοθείσης τῆς διαμέτρου ποδῶν ῑ εὑρεῖν τὸ στερεόν. Ἀρχιμήδης ἐν τοῖς Περὶ σφαίρας καὶ κυλίνδρου δείκνυσιν, ὅτι ὁ κύλινδρος ὁ βάσιν μὲν ἔχων ἴσην τῷ μεγίστῳ τῶν ἐν τῇ σφαίρᾳ κύκλων, ὕψος δὲ ἴσον τῇ διαμέτρῳ τῆς σφαίρας, ἡμιόλιός ἐστι τῆς σφαίρας· ὥστε κατὰ τοῦτον τὸν λόγον δεῖ τὰ ῑ ἐφ᾿ ἑαυτὰ λαβεῖν, καὶ τῶν γινομένων ἐπὶ τὰ ια ὧν τὸ ιδ´, καὶ ταῦτα ἐπὶ τὸ ὕψος τοῦ κυλίνδρου πολυπλασιασθέντα, τουτέστιν ἐπὶ τὰ ῑ, καὶ τῶν γινομένων λαβεῖν τὸ U+2220ʹ ϛʹ καὶ ἀποφέρεσθαι ἐπὶ τὸ τῆς σφαίρας στερεόν· εἰσὶ δὲ πόδες φκγ καὶ ιζ εἰκοστομόνα. κατὰ τὸν αὐτὸν λόγον δείκνυται, ὡς ια κύβοι ἀπὸ τῆς διαμέτρου τῆς σφαίρας ἴσοι γίνονται κα σφαίραις· ὥστε δεήσει τὰ ῑ κυβίσαντα· ἔστι δὲ ,ᾱ· τούτων λαβεῖν τὸ ἐνδεκάκις κα΄· καὶ τοσοῦτον γίνεται τὸ στερεὸν τῆς σφαίρας. Σφαῖρα, ἧς ἡ περίμετρος ποδῶν κβ· εὑρεῖν αὐτῆς τὸ στερεόν. ποίει οὕτως· λαβὲ ἀπὸ τῆς περιμέτρου τὴν διάμετρον ἀπὸ τοῦ ὑποκειμένου…","divisions":[{"label":"Ι. ΕΙΣΑΓΩΓΑΙ ΤΩΝ ΣΤΕΡΕΟΜΕΤΡΟΥΜΕΝΩΝ ΗΡΩΟΣ.","url":"https://thegreeklibrary.org/works/tlg0559.tlg010.local001/#tlg0559-tlg010-local001-1"},{"label":"ΙΙ.","url":"https://thegreeklibrary.org/works/tlg0559.tlg010.local001/#tlg0559-tlg010-local001-2"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0559.tlg010.local001/","json":"https://thegreeklibrary.org/api/works/tlg0559.tlg010.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0559/tlg010/local001.json.gz"}}