The Ten Books on Architecture, 9.2.3

Vitruvius  translated by Joseph Gwilt

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3I shall now subjoin what Aristarchus, the Samian mathematician, learnedly wrote on this subject, though of a different nature. He asserted, that the moon possesses no light of its own, but is similar to a speculum, which receives its splendour from the sun’s rays. Of the planets, the moon makes the smallest circuit, and is nearest to the earth; whence, on the first day of its monthly course, hiding itself under the sun, it is invisible; and when thus in conjunction with the sun, it is called the new moon. The following day, which is called the second, removing a little from the sun, it receives a small portion of light on its disc. When it is three days distant from him, it has increased, and become more illuminated; thus daily elongating from him, on the seventh day, being half the heavens distant from the western sun, one half of it shines, namely, that half which is lighted by the sun.

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