"A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains fixed.The axis of a sphere is the fixed straight line about which the semicircle revolves.The centre of a sphere is the same with that of the semicircle.The diameter of a sphere is any straight line which passes through the centre, and is terminated both ways by the superficies of the sphere."
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Euclid, Elements (c. 300 BC) bk. 11, secs. 14–17 (tr. Isaac Todhunter, 1872)
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Sphere
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