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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 379

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 379
ui lacunam post 10 η ope versionis Commandini expleverat 1 This is a particular case of the more general proposition (similarlyassumed by Archimedes in his Sand-reckoner) which amounts to the statementthat, if each of the angles α, β is not greater than a right angle, and (X > /3, then tana atan… … Fig. 22. Now tan α = BD/CD, tan β = BD/AD. We have therefore to prove that AD : CD > (X : β. OF THE SUN AND MOON 367 therefore the angle CAD stands on a fifteenth part of a sign. But a fifteenth part of a sign is 1/180th of the whole circle of thezodiac, so that the angle CAD stands on i/i8oth…

Aristarchus, of Samos · Astronomy, Greek · Astronomers

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