Book 9
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The mathematical works are these: VII. On a Difference in an Angle, or On Contact with the Circle or the Sphere. On Geometry. Geometrica. Numbers. VIII. On Irrational Lines and Solids, two books. ExtensionsDiels compares Ptolemy, Geogr. vii. 7 ὑπογραφὴ τοῦ ἐκπετάσματος. ὑπογραφ ὴ δ’ ἔσται καὶ τῆς τοιαύτης ἐκπετάς εως ἁρμόζουσά τε καὶ κεφαλα ιώδης. ἡ τοιαύτη τῆς κρικωτῆς σφαίρας ἐπιπέδῳ καταγραφή κτλ. The title Ἐκπετάσματα may therefore mean Projection of an armillary sphere on a plane. (Projections).
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The Great Year, or Astronomy, Calendar. Contention of the Water-clock [and the Heaven]. IX. Description of the Heaven. Geography. Description of the Pole. Description of Rays of Light. These are the mathematical works.
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The literary and musical works are these: X. On Rhythms and Harmony. On Poetry. On Beauty of Verses. On Euphonious and Cacophonous Letters. XI. Concerning Homer, or On Correct Epic Diction, and On Glosses. Of Song. On Words. A Vocabulary. So much for the works on literature and music.
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The works on the arts are these: XII. Prognostication. Of Diet, or Diaetetics. Medical Regimen. Causes concerned with Things Seasonable and Unseasonable. XIII. Of Agriculture, or Concerning Land Measurements. Of Painting. Treatise on Tactics, and On Fighting in Armour. So much for these works.
