Transcription of folios 017r-016v of the Archimedes Palimpsest. (= Archimedes folio Arch07r, On Floating Bodies) 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 5527 Owner of the Archimedes Palimpsest 2008

Licensed for use under Creative Commons Attribution 3.0 Unported, license http://creativecommons.org/licenses/by/3.0/legalcode.

It is requested that copies of any published articles based on the information in this data set be sent to The Curator of Manuscripts, The Walters Art Museum, 600 North Charles Street, Baltimore MD 21201.

 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 Floating Bodies 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
φανείας τοῦ ὑγροῦ ἁ ΑΒ ΓΔ πε ριφέρεια, τοῦ δὲ σχάματος ἁ ΕΖΗ περιφέρεια καὶ ἁ ΕΗ εὐθεῖα, ἄ ξων δὲ ἔστω τοῦ τμάματος ἁ ΖΘ. εἰ οὖν δυνατόν, μὴ κατὰ ὀρθὸν ἔστω ἁ ΖΘ· εἰ κται οὖν, ὅτι οὐ μενεῖ τὸ σχῆμα, ἀλλὰ ἐπ’ ὀρθὸν κατα τασεῖται. ἔστι δὴ τὸ κέντρον τᾶς σφαίρας ἐπὶ τῆς ΖΘ· πάλιν γὰρ ἡμισφαιρίου ἔστω πρῶ πρῶτον τὸ σχᾶμα· καὶ ἔστω τὸ Κ· διὰ δὲ τοῦ Κ καὶ τοῦ κέντρου τᾶς γᾶς τοῦ Λ ἄχθω δὲ κατὰ τὸ σχῆμα τὸ ἐκτὸς τοῦ ὑ γροῦ ἀπολαμβανόμενον ὑπὸ τ τᾶς τοῦ ὑγροῦ ἐπιφανείας τὸν ἄξονα ἔχει ἐπὶ τᾶς διὰ τοῦ Κ, διὰ ταὐτὰ τοῖς πρότερόν ἐστιν αὐτοῦ τὸ κέν τρον τοῦ βάρεος ἐπὶ τασι ΙΒ· ἔστω γὰρ τὸ Ρ. τοῦ δὲ ὅλου τμάματος τὸ κ κέν τρον ἐστὶ τοῦ βάρεος ἐπὶ τᾶς ΖΘ μεταξὺ τῶν ΚΖ· ἔστω τὸ Τ. τοῦ ἄρα λοιποῦ σχάματος τοῦ ἐν τῶι ὑ γρῶι τὸ κέντρον ἐσσεῖται ἐπὶ τ τᾶς Τ εὐθείας ἐκβληθείσας τινός, δείξει περὶ τὸν ΤΡ τὸν αὐτὸν λόγον, ἔχει τὸ μέρος τοῦ τμάματος ἐκ τὸς τοῦ Υ ποτὶ τὸ βάρος τοῦ σχά ματος τοῦ ἐν τῶι ὑγρῶι· κατὰ τὸ Σ κέντρου εἰρημένου σχήματ σχήματος , διὰ τοῦ κάθετος ἔστω τὸ ΘΣΛ· οἰ σεῖται οὖν τὸ βάρος τοῦ μὲν τμά ματος, ὅ ἐστιν ἐκτὸς τοῦ ὑγροῦ, κατὰ τᾶς εὐθείας τᾶς ΡΛ ἔστω κάτω, τοῦ δ’ ἐν τῶι ὑγρῶι σχάματ σχάματος κατὰ τᾶς εὐθείας τᾶς ΕΛ ἔστω αν ει ω. οὐκ ἄρα μὲν εἰς τὸ σχᾶμα, ἀλλὰ τὰ μ μὲν τ τοῦ σχάματος τὰ μὲν ποτὶ τῶι ἡ μέρει οἷς οὔτε ἔστω κάτω, τὰ δὲ ποτὶ τὸ Ε ἔσται τὸ ἄνω, καὶ ἀεὶ τοῦτο ἐσσεῖται, καὶ ὁ ΕΖ κατὰ κά θετον γένηται. ΣΥΡΑΚΟΥΣΙΟΥ ΑΡΧΙ ΜΗΔΟΥΣ ΟΧΟΥΜΕΝ ΟΧΟΥΜΕΝων Α
Β Α ΕΙ κά τι μέγεθος κουφότερον ἐὸν τοῦ ὑγροῦ ἀφεθῆ ἐς τὸ ὑγρόν, τοῦτο τοῦτον ἕξει τὸν λόγον τῶι βάρει ποτὶ τὸ ὑγρόν, ὃν ἔχει τὸ δεδυκὸς μέγεθ μέγεθος ποτὶ τὸ ὅλον μέγεθος. ἀφείσθω γάρ τι εἰς τὸ ὑγρὸν μέγεθος στερε ὸν τὸ ΦΑ κουφότερον τοῦ ὑγροῦ, ἔστω δὲ τὸ μὲν δεδυκὸς αὐτοῦ τὸ Α, τὸ δὲ ἐκτὸς τοῦ ὑγροῦ τὸ Φ. δεικτ δεικτέον