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Aristarchus of Samos, the ancient Copernicus; a history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon (1913)

Heath, Thomas Little, Sir, 1861-1940, Aristarchus, of Samos. On the sizes and distances of the sun and moon. English & Greek. 1913 · Oxford : Clarendon press · leaf 381

An illustration from Aristarchus of Samos, the ancient Copernicus; a history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon, 1913, leaf 381
ion given by Ptolemy{Syntaxis, I. io, pp. 43-4, ed. Heiberg). If two unequal chords are drawn in a circle, the greater has to the lessera ratio less than the ciraimfercnce {standing) on the greater chord has to thecircumference {standing) on the lesser. That is, if CB, Β A be unequal chords in a… … Then, since the angle ABC is bisected by BDt CD = AD.And CE>EA. Draw DF perpendicular to AEC. [Eucl., iii. 26, 29.][Eucl., vi. 3.] OF THE SUN AND MOON 369 And Β Η has to HA a ratio greater than that which the angleBAH has to the angle ABH} Therefore the angle BAH is less than i/44th part of the…

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