Transcription of folios 0000-100r of the Archimedes Palimpsest. (= Archimedes folio Arch53v, Sphere and Cylinder) 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 5515 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 Sphere and Cylinder 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
τοῦτο ἴσος ἐστὶν ὁ ΜΝΞ κῶνος τῶι Α ΒΓ κώνωι· ἐὰν γὰρ ὦσι δύο κῶνοι ἰσοσκελεῖς, ἡ δὲ τοῦ ἑτέρου κώνου ἐπιφάνεια ἴση ἦ τῆι τοῦ ἑτέρου βάσει, ἔτι δὲ ἡ ἀπὸ τοῦ κέντρου τῆς βάσεως ἐπὶ τὴν πλευρὰν τοῦ κώνου λεγομένη κάθετος τῶι ὕψει ἴση, ἴσοι ἔσονται οἱ κῶνοι, τὴν δὲ τοῦ ΟΠΡ κώνου βάσιν ἴσην εἶναι τῆι ἐπιφανείαι τοῦ ΔΒΕ κώ νου, ὕψος δὲ τῆι ΖΗ διὰ δὴ τούτοις ἴσος ἐστὶν ὁ ΟΠΡ κῶνος τῶι ΒΔ ΖΕ ῥόμ βωι· τοῦτο γὰρ προαπεδείχθη. ἐπεὶ δὲ ἡ τοῦ ΑΒΓ κώνου ἐπιφάνεια σύγκειται ἔκ τε τῆς τοῦ ΔΒΕ ἐπι φανείας καὶ τῆς μεταξὺ τῶν ΔΕ ΑΓ, ἀλλ’ ἡ μὲν τοῦ ΑΒΓ κώνου ἐπιφάνεια ἴση ἐστὶ τῆι βάσει τοῦ ΚΑ Ἐὰν ῥόμβου ἐξ ἰσοσκελῶν κώνω κώνων συγκειμένου ὁ ἕτερος κῶνος ἐπιπέδῶι τμηθῆι παραλλήλωι τῆι βάσει, ἀπὸ δὲ τοῦ γενομένου κύκλου κῶνος ἀναγραφῆι κο ρυφὴν ἔχων τὴν αὐτὴν τῶι ἑ τέρωι κώνωι, ἀπὸ δὲ τοῦ ὅλου ῥόμ βου ὁ γενόμενος ῥόμβος ἀφαι ρεθῆ, τῶι περιλείμματι ἴσος ἔσται ὁ κῶνος ὁ βάσιν μὲν ἔχων ἴσ ἴσην τῆι ἐπιφανείαι τοῦ κώνου τῆι μεταξὺ τῶν παραλλήλων ἐπι πέδων, ὕψος δὲ ἴσον τὸ ἀπὸ τ τῆς