PAL

Ptolemaeus Arabus et Latinus

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Ptolemy, Almagesti (tr. Erasmus Reinhold)

Wittenberg, Johannes Lufft, 1549 · 115v

Facsimile

Et eodem modo, Alterum theorema sphaera κατὰ σύνθεσιν i. m. W sicut in plana descriptione rectarum linearum, demonstratur quod et ratio subtensae dupli GA ad subtensam dupli AE componitur ex ratione dupli GD ad subtensam dupli DZ, et ex ratione subtensae dupli ZB ad subtensam dupli ZB ad subtensam dupli BE. Quae prius erant demonstranda.

σχόλιον ex Theone. Dico quod ratio subtensae dupli circumferentiae GA ad subtensam dupli circunferentiae AE conponitur ex ratione subtensae dupli circunferentiae GD ad subtensam dupli circunferentiae DZ et ex ratione subtensae dupli ZB ad subtensam dupli BE. Coniunctae enim rectae GE et IA producantur et concurrant in signo L, similiter EZ, IB rectae coniunctae concurrant in signo T. Rursus denique