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 392
herefore the square on FG is double of the square on GE. Now 49 is less than double * of 25,so that the square on FG has to the square on GE a ratio greaterthan that which 49 has to 25 ; therefore FG also has to GE a ratio greater than that which 7has to 5. Therefore, componendo, FE has to EG a… … EQ Fig. 26. Then Δ GBH: Δ HBE > (sector PBH) : (sector HBQ); therefore GH: HE > Ζ GBH: Ζ HBE, and, componendo, GE : //£ > Ζ GBE : Ζ HBE. 1 Aristarchus here uses the well-known Pythagorean approximation to V2,namely \, one of the first of the successive approximations obtained by…
Aristarchus, of Samos · Astronomy, Greek · Astronomers
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