{"schemaVersion":2,"id":"tlg0552.tlg010.local001","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/","urn":"urn:cts:greekLit:tlg0552.tlg010.local001","title":"Ad Eratosthenem methodus","titleGreek":null,"alternateTitles":[],"author":"Archimède","authorityName":"ARCHIMEDES Geom.","authorUrl":"https://thegreeklibrary.org/authors/tlg0552-archimedes-geom/","authorityUrl":"https://thegreeklibrary.org/authors/tlg0552-archimedes-geom/","editors":["Charles Mugler"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Archimède","edition":null,"publisher":"Belles Lettres","place":"Paris","date":"1971","volume":"3","series":null,"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 (Mount Allison University)","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"http://digital.slub-dresden.de/werkansicht/dlf/106436/1/0/","sourceLinkType":null,"sourceRights":null,"citation":"Archimède. Ad Eratosthenem methodus. ed. Charles Mugler. Archimède, Paris, Belles Lettres, 1971. urn:cts:greekLit:tlg0552.tlg010.local001","excerpt":"Ἀρχιμήδους Περὶ τῶν μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένην ἔφοδος Ἀρχιμήδης Ἐρατοσθένει εὖ πράττειν. Ἀπέστειλά σοι πρότερον τῶν εὑρημένων θεωρημάτων ἀναγράψας αὐτῶν τὰς προτάσεις φάμενος εὑρίσκειν ταύτας τὰς ἀποδείξεις, ἃς οὐκ εἶπον ἐπὶ τοῦ παρόντος ἦσαν δὲ τῶν ἀπεσταλμένων θεωρημάτων αἱ προτάσεις αἵδε · τοῦ μὲν πρώτου· ἐὰν εἰς πρίσμα ὀρθὸν παραλληλόγραμμον ἔχον βάσιν κύλινδρος ἐγγραφῇ τὰς μὲν βάσεις ἔχων ἐν τοῖς ἀπεναντίον παραλληλογράμμοις, τὰς δὲ πλευρὰς ἐπὶ τῶν λοιπῶν τοῦ πρίσματος ἐπιπέδων, καὶ διά τε τοῦ κέντρου τοῦ κύκλου, ὅς ἐστι βάσις τοῦ κυλίνδρου, καὶ μιᾶς πλευρᾶς τοῦ τετραγώνου τοῦ ἐν τῷ κατεναντίον ἐπιπέδῳ ἀχθῇ ἐπίπεδον, τὸ ἀχθὲν ἐπιπίπεδον ἀποτεμεῖ τμῆμα ἀπὸ τοῦ κυλίνδρου, ὅ ἐστι περιεχόμενον ὑπὸ δύο ἐπιπέδων καὶ ἐπιφανείας κυλίνδρου, ἑνὸς μὲν τοῦ ἀχθέντος, ἑτέρου δὲ ἐν ᾧ ἡ βάσις ἐστὶν τοῦ κυλίνδρου, τῆς δὲ ἐπιφανείας τῆς μεταξὺ τῶν εἰρημένων ἐπιπέδων, τὸ δὲ ἀποτμηθὲν ἀπὸ…","divisions":[{"label":"ΠΡΟΣ ΕΡΑΤΟΣΘΕΝΗΝ ΕΦΟΔΟΣ","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-pr1"},{"label":"ΠΡΟΛΑΜΒΑΝΟΜΕΝΑ","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-pr2"},{"label":"α΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-1"},{"label":"β΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-2"},{"label":"γ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-3"},{"label":"δ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-4"},{"label":"ε΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-5"},{"label":"ς΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-6"},{"label":"ζ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-7"},{"label":"η΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-8"},{"label":"θ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-9"},{"label":"ι΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-10"},{"label":"ια΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-11"},{"label":"ιβ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-12"},{"label":"ιγ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-13"},{"label":"ιδ΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-14"},{"label":"ιε΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/#tlg0552-tlg010-local001-15"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0552.tlg010.local001/","json":"https://thegreeklibrary.org/api/works/tlg0552.tlg010.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0552/tlg010/local001.json.gz"}}