Transcription of folios 0000-171v of the Archimedes Palimpsest. (= Archimedes folio Arch68r, The Measurement of the Circle) Archimedes Sponsor The Owner of the Archimedes Palimpsest Responsible for primary transcription (Dublin Core creator) Reviel Netz Responsible for primary transcription (Dublin Core creator) Nigel Wilson Contributor Mike Toth Contributor William Noel Contributor Doug Emery Contributor Alexander Lee Contributor Neel Smith Contributor Christopher Blackwell Contributor Jennifer Adams Contributor Jennifer Curtin Contributor Christopher D'Alessandro Contributor William Dolan Contributor Scott Dubè Contributor Michael Kinney Contributor Stephanie Wheeler Contributor Joshua Whelan Contributor Alana L. Bates Contributor Mary Katherine Benson Contributor Edwin Ranier Brenegar Contributor Harry Briggs Contributor Andrew P. Cannon Contributor Katie Elizabeth Crumpton Contributor Katelyn Marie Ellis Contributor Matthew David Goodson Contributor Bryan Alton Keller Contributor Bethanie V. Kemper Contributor Claire Chamberlyn Kitchens Contributor Adam Charles Race Contributor Peter Eric Soder Contributor Charles David Stolper Contributor Jiayang Wu 5518 Owner of the Archimedes Palimpsest 2008

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 Privately owned parchment codex: "The Archimedes Palimpsest". Multispectral Digital Image Product of the Archimedes Palimpsest (The Owner of the Archimedes Palimpsest, 2008). Heiberg, J. L., Archimedis Opera omnia cum commentariis Eutocii (Leipzig: Teubner, 1910–15; reprinted 1972). Christie’s New York, 29th October 1998 Sale, no. 9058, The Archimedes Palimpsest. A. Papadopoulos-Kerameus, Hierosolymitike Bibliotheke, vol. 4 (St Petersburg, 1899), 329–331, MS 355. 10th Century Manuscript 13th Century Manuscript Archimedes Palimpsest Byzantine Manuscript Content: Against Diondas Content: Against Timandros Content: Archimedes Content: Aristotle Content: Categories Content: Hyperides Content: J. L. Heiberg Content: Method Content: On Floating Bodies Content: On Spiral Lines Content: On the Equilibrium of Planes Content: On the Measurement of the Circle Content: On the Sphere and Cylinder Content: Stomachion Foliation scheme: Undertext foliation, ordered by sequence of undertext Foliation scheme: Undertext foliation, ordered by sequence of columnar undertext Greek Manuscript J. L. Heiberg Parchment Manuscript Private Collection accented ancient Greek in Unicode-C Greek characters English Content: Archimedes Content: On the Measurement of the Circle Archimedes Palimpsest Greek Manuscript Byzantine Manuscript Parchment Manuscript 13th Century Manuscript 10th Century Manuscript Private Collection Foliation scheme: Undertext foliation, ordered by sequence of columnar undertext
καὶ περιγεγράφθω τὸ τετράγωνον, καὶ τετμήσθωσαν αἱ περιφέ ρειαι δίχα, καὶ ἤχθωσαν ἐφα πτόμεναι διὰ τῶν σημείων· ὀρθὴ ἄρα ἡ ὑπὸ ΟΑΡ. ἡ ΟΡ ἄρα τῆς ΜΡ ἐστὶν μεί ζων· ἡ γὰρ ΡΜ τῆι ΡΑ ἴση ἐστί · καὶ τὸ ΡΟΠ τρίγωνον ἄρα τοῦ ΟΖΑΜ σχήμα τος μεῖζόν ἐστιν ἢ τὸ ἥμισυ. λελεί φθωσαν οἱ τῶ ΠΖΑ τομεῖ ὅμοι οι ἐλάσσους τῆς ὑπεροχῆς, ἧ ὑ περέχει τὸ Ε τοῦ ΑΒΓΔ κύκλου πρὸς ἕν, τὸ ΑΓΖ πρὸς τὸ ΑΓΔ ἐστίν , ὡς ΚΒ πρὸς Ζ. ἀλλὰ τὸ ΑΓΔ τετραπλάσιόν ἐστι τὸ ΓΗ τετράγωνον, τὸ δὲ ΑΓΔΖ τρίγωνον τῶι ΑΒ κύκλωι ἴσον ἐστίν ἐπεὶ ἡ μὲν ΑΓ κάθετος ἴση ἐστὶ τῆι ἐκ τοῦ κέντρου, ἡ δὲ βάσις τῆς διαμέτρου τριπλασίω τριπλασίων καὶ τοῦ Ζ ἔγγιστα ὑπερέχουσα δειχθή σεται· ὁ κύκλος οὖν πρὸς τὸ ΓΗ τετράγω νον λόγον ἔχει, ὃν ΙΑ πρὸς ΙΔ .