{"schemaVersion":2,"id":"tlg4005.tlg001.local001","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/","urn":"urn:cts:greekLit:tlg4005.tlg001.local001","title":"Euclidis elementorum qui fertur liber xv","titleGreek":null,"alternateTitles":[],"author":"Anonymous","authorityName":null,"authorUrl":null,"authorityUrl":null,"editors":[],"publication":{"digitalPublisher":"Corpus local","sourceTitle":null,"edition":null,"publisher":null,"place":null,"date":null,"volume":null,"series":null,"citation":"Euclidis elementorum qui fertur liber xv, ed. E. S. Stamatis (post J. L. Heiberg), Euclidis elementa, vol. 5.1, 2nd edn., Leipzig: Teubner, 1977: 23–38. Cod: 2,735: Math. Cf. et EUCLIDES Geom. (1799 001).","citationShort":"Euclidis elementorum qui fertur liber xv, ed. E. S. Stamatis (post J. L. Heiberg), Euclidis elementa, vol. 5.1, 2nd edn., Leipzig: Teubner, 1977: 23–38."},"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":"Euclidis elementorum qui fertur liber xv. Euclidis elementorum qui fertur liber xv, ed. E. S. Stamatis (post J. L. Heiberg), Euclidis elementa, vol. 5.1, 2nd edn., Leipzig: Teubner, 1977: 23–38.. urn:cts:greekLit:tlg4005.tlg001.local001","excerpt":"Εἰς τὸν δοθέντα κύβον πυραμίδα ἐγγράψαι. Ἔστω ὁ δοθεὶς κύβος ὁ ΑΒΓΔΕΖΗΘ, εἰς ὃν δεῖ πυ- ραμίδα ἐγγράψαι. ἐπεζεύχθωσαν αἱ ΑΓ, ΑΕ, ΓΕ, ΑΘ, ΕΘ, ΘΓ. φανερὸν δή, ὅτι τὰ ΑΕΓ, ΑΘΕ, ΑΘΓ, ΘΓΕ τρίγωνα ἰσόπλευρά ἐστιν. τετραγώνων γάρ εἰσι διάμετροι αἱ πλευραί. πυραμὶς ἄρα ἐστὶν ἡ ΑΕΓΘ· καὶ ἐγγέγρα- πται εἰς τὸν δοθέντα κύβον.","divisions":[{"label":"1","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/#tlg4005-tlg001-local001-1"},{"label":"2","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/#tlg4005-tlg001-local001-2"},{"label":"3","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/#tlg4005-tlg001-local001-3"},{"label":"4","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/#tlg4005-tlg001-local001-4"},{"label":"5","url":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/#tlg4005-tlg001-local001-5"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg4005.tlg001.local001/","json":"https://thegreeklibrary.org/api/works/tlg4005.tlg001.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg4005/tlg001/local001.json.gz"}}