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1/18 > sin 3° > 1/20, 1/45 > sin 1° > 1/60, 1 > cos 1° > 89/90. The main results obtained are that the diameter of the sun is between 18 and 20 times the diameter of the moon, that the diameter of the moon is between 2/45ths and 1/30th of the distance of the centre of the moon from our eye, and that the diameter of the sun is between 19/3rds and 43/6ths of the diameter of the earth.
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