{"schemaVersion":2,"id":"tlg0552.tlg008.local001","url":"https://thegreeklibrary.org/works/tlg0552.tlg008.local001/","urn":"urn:cts:greekLit:tlg0552.tlg008.local001","title":"De corporibus fluitantibus","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. De corporibus fluitantibus. ed. Charles Mugler. Archimède, Paris, Belles Lettres, 1971. urn:cts:greekLit:tlg0552.tlg008.local001","excerpt":"Ὑποκείσθω τὸ ὑγρὸν φύσιν ἔχον τοιαύταν, ὥστε τῶν μερέων αὐτοῦ τῶν ἐξ ἴσου κειμένων καὶ συνεχέων ἐόντων ἐξωθεῖσθαι τὸ ἧσσον θλιζόμενον ὑπὸ τοῦ μᾶλλον θλιβομένου, καὶ ἕκαστον δὲ τῶν μερέων αὐτοῦ θλίζεσθαι τῷ ὑπεράνω αὐτοῦ ὑγρῷ κατὰ κάθετον ἐόντι, εἴ κα μὴ τὸ ὑγρὸν ᾖ καθειργμένον ἔν τινι καὶ ὑπʼ ἄλλου τινὸς θλιβόμενον. Εἴ κα ᾖ ἐπιφάνειά τις ἐπιπέδῳ τεμνομένα διά τινος ἀεὶ τοῦ σαμείου τὰν τομὰν ποιέοντι circuli periferiam centrum habentem signum, per quod plano secatur, sperae erit superficies. Sit enim superficies aliqua secta per signum Κ plano semper sectionem faciente circuli periferiam, centrum autem ipsius K. Si igitur ipsa superficies non est sperae superficies, non erunt omnes quae a centro ad superficiem occurrentes lineae aequales. Sint itaque quae A, B, G, D signa in superficie, et inaequales quae AK, KB, per ipsas autem KA, KΒ planum educatur et faciat sectionem in superficie…","divisions":[{"label":"ΟΧΟΥΜΕΝΩΝ Α΄","url":"https://thegreeklibrary.org/works/tlg0552.tlg008.local001/#tlg0552-tlg008-local001-1"},{"label":"Β΄.","url":"https://thegreeklibrary.org/works/tlg0552.tlg008.local001/#tlg0552-tlg008-local001-2"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0552.tlg008.local001/","json":"https://thegreeklibrary.org/api/works/tlg0552.tlg008.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0552/tlg008/local001.json.gz"}}