{"schemaVersion":2,"id":"tlg4072.tlg003.local001","url":"https://thegreeklibrary.org/works/tlg4072.tlg003.local001/","urn":"urn:cts:greekLit:tlg4072.tlg003.local001","title":"Commentarius in libros de planorum aequilibriis","titleGreek":null,"alternateTitles":[],"author":"Eutocius","authorityName":"EUTOCIUS Math.","authorUrl":"https://thegreeklibrary.org/authors/tlg4072-eutocius-math/","authorityUrl":"https://thegreeklibrary.org/authors/tlg4072-eutocius-math/","editors":["Charles Mugler"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Archimède","edition":null,"publisher":"Les Belles Lettres","place":"Paris","date":"1972","volume":"4","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 Arcadia Fund"],"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":"http://digital.slub-dresden.de/werkansicht/dlf/106437/1/0/","sourceLinkType":null,"sourceRights":null,"citation":"Eutocius. Commentarius in libros de planorum aequilibriis. ed. Charles Mugler. Archimède, Paris, Les Belles Lettres, 1972. urn:cts:greekLit:tlg4072.tlg003.local001","excerpt":"Τὴν ῥοπήν, γενναιότατε Πέτρε, κοινὸν εἶναι γένος βαρύτητος καὶ κουφότητος Ἀριστοτέλης τε λέγει καὶ Πτολεμαῖος τούτῳ ἀκολουθῶν· ὁ δέ γε παρὰ Πλάτωνι Τίμαιος πᾶσαν ῥοπὴν ἀπὸ βαρύτητος λέχει γίνεσθαι· τὴν γὰρ κουφότητα στέρησιν νομίζει. Ὧν ἔξεστι τὰς δόξας τοῖς φιλομαθέσιν ἀναλέγεσθαι ἔκ τε τοῦ Περὶ ῥοπῶν βιβλίου τῷ Πτολεμαίῳ συγγεγραμμένου καὶ ἐκ τῶν Ἀριστοτέλους φυσικῶν πραγματειῶν καὶ ἐκ τοῦ Πλάτωνος Τιμαίου καὶ τῶν ταῦτα ὑπομνηματισάντων. Ὁ δὲ Ἀρχιμήδης ἐν τούτῳ τῷ βιβλίῳ κέντρον ῥοπῆς ἐπιπέδου σχήματος νομίζει, ἀφ᾿ οὗ ἀρτώμενον παράλληλον μένει τῷ ὁρίζοντι, δύο δὲ ἢ πλειόνων ἐπιπέδων κέντρον ῥοπῆς ἤτοι βάρους, ἀφʼ οὗ ἀρτώμενος ὁ ζυγὸς παράλληλός ἐστι τῷ ὁρίζοντι. Οἷον ἔστω τρίγωνον τὸ ΑΒΓ καὶ ἐν τῷ μέσῳ αὐτοῦ σημεῖόν τι τὸ △, ἀφ᾿ οὗ ἀρτώμενον παράλληλον μένει τῷ ὁρίζοντι· δῆλον οὖν ὅτι ἰσορροπήσει τὰ Α Β, Γ μέρη ἑαυτοῖς, καὶ οὐδέτερον τοῦ ἑτέρου μᾶλλον ῥέψει ἐπὶ τὸν ὁρίζοντα. Ὁμοίως…","divisions":[{"label":"Εὐτοκίου εἰς τὸ ᾱ τῶν Ἀρχιμήδους ἰσορροπικῶν.","url":"https://thegreeklibrary.org/works/tlg4072.tlg003.local001/#tlg4072-tlg003-local001-1"},{"label":"Εὐτοκίου εἰς τὸ β τῶν ἰσορροπικῶν Ἀρχιμήδους.","url":"https://thegreeklibrary.org/works/tlg4072.tlg003.local001/#tlg4072-tlg003-local001-2"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg4072.tlg003.local001/","json":"https://thegreeklibrary.org/api/works/tlg4072.tlg003.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg4072/tlg003/local001.json.gz"}}