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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 376

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 376
dark and the bright portionsin the moon when the cone comprehending both the sun and themoon has its vertex at our eye; 1 The promised Lemma (the equivalent of which is stated, rather than proved,in Euclids Optics, 24) does not appear. Some of the MSS. have a scholiumcontaining a rather clumsy… … Fig. 20. is, and if AH, AL be the pair of tangents from A, and PM, PO the pair oftangents from P, then MO > HL. By Eucl. vi. 8 and 17, CM2 = CT. CP, and CH2 = CS.CA; thereforeCT. CP=CS.CA, or CA:CP = CT: CS. But CA < CP; therefore CT < CS,so that the chord HL is less than the chord MO. 364…

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