{"schemaVersion":2,"id":"tlg0552.tlg013.local001","url":"https://thegreeklibrary.org/works/tlg0552.tlg013.local001/","urn":"urn:cts:greekLit:tlg0552.tlg013.local001","title":"Fragmenta","titleGreek":null,"alternateTitles":[],"author":"Archimedes","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":"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":"Archimedes. Fragmenta. ed. Charles Mugler. Archimède, Paris, Les Belles Lettres, 1972. urn:cts:greekLit:tlg0552.tlg013.local001","excerpt":"Ταῦτα δ᾿ ἐστὶν οὐ μόνον τὰ παρὰ τῷ θειοτάτῳ Πλάτωνι πέντε σχήματα, τουτέστιν τετράεδρόν τε καὶ ἑξάεδρον, ὀκτάεδρόν τε καὶ δωδεκάεδρον, πέμπτον δ᾿ εἰκοσάεδρον, ἀλλὰ καὶ τὰ ὑπὸ Ἀρχιμήδους εὑρεθέντα τρισκαίδεκα τὸν ἀριθμὸν ὑπὸ ἰσοπλεύρων μὲν καὶ ἰσογωνίων, οὐχ ὁμοίων δὲ πολυγώνων περιεχόμενα. Τὸ μὲν γὰρ πρῶτον ὀκτάεδρόν ἐστιν περιεχόμενον ὑπὸ τριγώνων △Ζ καὶ ἑξαγώνων δ. Τρία δὲ μετὰ τοῦτο τεσσαρεσκαιδεκάεδρα, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις η καὶ τετραγώνοις ς΄, τὸ δὲ δεύτερον τετραγώνοις ς΄ καὶ ἑξαγώνοις η, τὸ δὲ τρίτον τριγώνοις η καὶ ὀκταγώνοις ς΄. Μετὰ δὲ ταῦτα ἑκκαιεικοσάεδρά ἐστιν δύο, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις η καὶ τετραγώνοις ιη, τὸ δὲ δεύτερον τετραγώνοις ιβ, ἑξαγώνοις η καὶ ὀκταγώνοις ς΄. Μετὰ δὲ ταῦτα δυοκαιτριακοντάεδρά ἐστιν τρία, ὧν τὸ μὲν πρῶτον περιέχεται τριγώνοις κ καὶ πενταγώνοις ιβ, τὸ δὲ δεύτερον πενταγώνοις ιβ καὶ ἑξαγώνοις κ, τὸ δὲ τρίτον…","divisions":[{"label":"Ι. DE POLYEDRIS.","url":"https://thegreeklibrary.org/works/tlg0552.tlg013.local001/#tlg0552-tlg013-local001-1"},{"label":"ΙΙ. GATOPTRICA.","url":"https://thegreeklibrary.org/works/tlg0552.tlg013.local001/#tlg0552-tlg013-local001-2"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0552.tlg013.local001/","json":"https://thegreeklibrary.org/api/works/tlg0552.tlg013.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0552/tlg013/local001.json.gz"}}