Work A.6

# Ptolemy

Planispherium

**Content** 16 propositions on the projection of the celestial circles onto a plane.

**Origin** Greek (*Ἅπλωσις ἐπιφανείας σφαίρας,* ‘Simplification of the Sphere’, a title attested in the tenth-century *Suidas*, see Sidoli/Berggren, 37 n. 1). The text is lost in Greek (except for a fragment) and survives in Arabic and Latin only.

**Bibl.** J. L. Heiberg, *Claudii Ptolemaei opera quae exstant omnia*, II: *Opera astronomica minora*, Leipzig, 1907, xii-xiv and clxxx-clxxxvi; F. Sezgin, *Geschichte des arabischen Schrifttums*, V: *Mathematik*, Leiden, 1974, 170 (no. 1), and VI: *Astronomie*, Leiden, 1978, 95 (no. III); O. Neugebauer, *A History of Ancient Mathematical Astronomy*, Berlin-New York, 1975, II, 857-879; P. Kunitzsch, ‘The Second Arabic Manuscript of Ptolemy’s *Planisphaerium*’, *Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaft* 9 (1994), 83-89 (reprinted in P. Kunitzsch, *Stars and Numbers. Astronomy and Mathematics in the Medieval Arab and Western Worlds*, Aldershot, 2004, VI);* *P. Kunitzsch, R. Lorch, *Maslama’s Notes on Ptolemy’s *Planisphaerium* and Related Texts*, Munich, 1994; R. Lorch, ‘Ptolemy and Maslama on the Transformation of Circles into Circles in Stereographic Projection’, *Archive for the History of Exact Sciences* 49 (1995), 271-284;* *P. Kunitzsch, ‘The Role of al-Andalus in the Transmission of Ptolemy’s *Planisphaerium* and *Almagest’*, *Zeitschrift für Geschichte der Arabisch-Islamischen Wissenschaft* 10 (1995-96), 147-155 (reprinted in P. Kunitzsch, *Stars and Numbers. Astronomy and Mathematics in the Medieval Arab and Western Worlds*, Aldershot, 2004, VII); O. Pedersen, *A Survey of the Almagest. With Annotation and New Commentary by Alexander Jones*, New York-Dordrecht, 2011 (first edition 1974), 405. See also A.6.1.

**Ed.** Critical edition of the Arabic text, together with an English translation, by N. Sidoli and J. L. Berggren, ‘The Arabic Version of Ptolemy’s *Planisphere* or *Flattening the Surface of the Sphere*: Text, Translation, Commentary’, *SCIAMVS* 8 (2007), 37-144. A facsimile of one of the two known Arabic MS, together with an English translation, had previously been provided by C. Anagnostakis, *The Arabic Version of Ptolemy’s Planisphaerium*, PhD dissertation, Yale University, 1984. For the Latin text, see A.6.1-2.