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Proposition 3. The circle in the moon which divides the dark and the bright portions is least when the cone comprehending both the sun and the moon has its vertex at our eye.

— Aristarchus of Samos On the Sizes and Distances of the Sun and the Moon (-250)

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More quotes by Aristarchus of Samos

Proposition 9. The diameter of the sun is greater than 18 times, but less than 20 times, the diameter of the moon.

On the Sizes and Distances of the Sun and the Moon (-250)

Proposition 6. The moon moves (in an orbit) lower than (that of) the sun, and, when it is halved, is distant less than a quadrant from the sun.

On the Sizes and Distances of the Sun and the Moon (-250)

Proposition 4. The circle which divides the dark and the bright portions in the moon is not perceptibly different from a great circle in the moon.

On the Sizes and Distances of the Sun and the Moon (-250)

Proposition 8. When the sun is totally eclipsed, the sun and the moon are then comprehended by one and the same cone which has its vertex at our eye.

On the Sizes and Distances of the Sun and the Moon (-250)

Proposition 2. If a sphere be illuminated by a sphere greater than itself, the illuminated portion of the former sphere will be greater than a hemisphere.

On the Sizes and Distances of the Sun and the Moon (-250)

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