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Ptolemaeus Arabus et Latinus

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Work A.5.1

Liber de analemmate (tr. William of Moerbeke)


‘(ed. Edwards) Claudii Ptolemei liber de analemmate incipit. Consideranti mihi, o Syre, angulorum acceptorum in locum gnomonicum quod rationale et quod non, habitum quidem virorum illorum in lineis accidit admirari etiam in hiis et valde acceptare — horarii autem ad eum qui secundum verticem, descensivi autem ad orizontem. Habent autem et canones ita’ (followed by the table ‘Cancri principium horarum 13’).


Translated from Greek by William of Moerbeke probably in 1270. William’s autograph manuscript is Vatican, BAV, Ottob. lat. 1850.

Note 1

MS Oxford, BL, Savile 9, s. XVII1, contains, under the title ‘Ptolemaeus de analemmate’, definitions of astronomical terms, such as ‘horizon’, ‘meridianus’, ‘verticalis’, etc. (f. 1r-1v); and, under the title ‘De angulis et peripheriis subtensis ex doctrina Ptolemaei’, various astronomical notes on sundials (f. 2r-10r).

Note 2

Federico Commandino published a revised version of William of Moerbeke’s translation, together with a commentary, in 1562. See C.4.2.


J. L. Heiberg, ‘Ptolemäus de Analemmate’, Abhandlungen zur Geschichte der Mathematik 7 (1895), 1-30; J. L. Heiberg, Claudii Ptolemaei opera quae exstant omnia, II: Opera astronomica minora, Leipzig, 1907, xi-xii; P. Luckey, ‘Das Analemma von Ptolemäus’, Astronomische Nachrichten 230 (1927), no. 5498, 17-46; F. J. Carmody, Arabic Astronomical and Astrological Sciences in Latin Translation. A Critical Bibliography, Berkeley-Los Angeles, 1956, 16 (no. 2); O. Neugebauer, A History of Ancient Mathematical Astronomy, Berlin-New York, 1975, II, 839-857; D. R. Edwards, Ptolemy’s “Peri Analemmatos” – an Annotated Transcription of Moerbeke’s Latin Translation and of the Surviving Greek Fragments, with an English Version and Commentary, PhD dissertation, Brown University, Providence, 1984; R. Sinisgalli, S. Vastola, L’analemma di Tolomeo, Firenze, 1992; O. Pedersen, A Survey of the Almagest. With Annotation and New Commentary by Alexander Jones, New York-Dordrecht, 2011 (first edition 1974), 403-404; J. Guerola Olivares, El Collegio Romano I els orígens de la trigonometria: De l’Analemma de Ptolemeu a la gnomonica de Clavius, PhD dissertation, Universitat Autònoma de Barcelona, 2018, 50-145; N. Sidoli, ‘Mathematical Methods in Ptolemy’s Analemma’, in Ptolemy’s Science of the Stars in the Middle Ages, eds D. Juste, B. van Dalen, D. N. Hasse, C. Burnett, Turnhout, 2020, 35-77.


Heiberg, ‘Ptolemäus’ (from Vatican, BAV, Ottob. lat. 1850); Heiberg, Claudii Ptolemaei…, 189-223 (from Vatican, BAV, Ottob. lat. 1850); Edwards, 33-76 (from Vatican, BAV, Ottob. lat. 1850, with an English translation, 77-135); Guerola Olivares, 287-321 (from Vatican, BAV, Barb. lat. 304, with facsimile on 323-343). See also C.4.2.


Latin commentaries