{"schemaVersion":2,"id":"tlg0552.tlg005.local001","url":"https://thegreeklibrary.org/works/tlg0552.tlg005.local001/","urn":"urn:cts:greekLit:tlg0552.tlg005.local001","title":"De planorum aequilibriis","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":"2","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/106431/1/0/","sourceLinkType":null,"sourceRights":null,"citation":"Archimède. De planorum aequilibriis. ed. Charles Mugler. Archimède, Paris, Belles Lettres, 1971. urn:cts:greekLit:tlg0552.tlg005.local001","excerpt":"α΄. Αἰτούμεθα τὰ ἴσα βάρεα ἀπὸ ἴσων μακέων ἰσορροπεῖν, τὰ δὲ ἴσα βάρεα ἀπὸ τῶν ἀνίσων μακέων μὴ ἰσορροπεῖν, ἀλλὰ ῥέπειν ἐπὶ τὸ βάρος τὸ ἀπὸ τοῦ μείζονος μάκεος. β΄. Εἴ κα βαρέων ἰσορροπεόντων ἀπό τινων μακέων ποτὶ τὸ ἕτερον τῶν βαρέων ποτιτεθῇ, μὴ ἰσορροπεῖν, ἀλλὰ ῥέπειν ἐπὶ τὸ βάρος ἐκεῖνο, ᾧ ποτετέθη. γ΄. Ὁμοίως δὲ καί, εἴ κα ἀπὸ τοῦ ἑτέρου τῶν βαρέων ἀφαιρεθῇ τι, μὴ ἰσορροπεῖν, ἀλλὰ ῥέπειν ἐπὶ τὸ βάρος, ἀφʼ οὗ οὐκ ἀφῃρέθη. δ΄. Τῶν ἴσων καὶ ὁμοίων σχημάτων ἐπιπέδων ἐφαρμοζομένων ἐπʼ ἄλλαλα καὶ τὰ κέντρα τῶν βαρέων ἐφαρμόζει ἐπʼ ἄλλαλα. ε΄. Τῶν δὲ ἀνίσων, ὁμοίων δέ, τὰ κέντρα τῶν βαρέων ὁμοίως ἐσσεῖται κείμενα. Ὁμοίως δὲ λέγομες σαμεῖα κέεσθαι ποτὶ τὰ ὁμοῖα σχήματα, ἀφʼ ὧν ἐπὶ τὰς ἴσας γωνίας ἀγόμεναι εὐθεῖαι ποιέοντι γωνίας ἴσας ποτὶ τὰς ὁμολόγους πλευράς. ϛ΄. Εἴ κα μεγέθεα ἀπό τινων μακέων ἰσορροπέωντι, καὶ τὰ ἴσα αὐτοῖς ἀπὸ τῶν αὐτῶν μακέων ἰσορροπήσει. ζ΄. Παντὸς σχήματος, οὗ κα ἁ…","divisions":[{"label":"ΕΠΙΠΕΔΩΝ ΙΣΟΡΡΟΠΙΩΝ Α΄","url":"https://thegreeklibrary.org/works/tlg0552.tlg005.local001/#tlg0552-tlg005-local001-1"},{"label":"Ἰσορροπικῶν β΄","url":"https://thegreeklibrary.org/works/tlg0552.tlg005.local001/#tlg0552-tlg005-local001-2"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0552.tlg005.local001/","json":"https://thegreeklibrary.org/api/works/tlg0552.tlg005.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0552/tlg005/local001.json.gz"}}