High Quality Content by WIKIPEDIA articles! On the Sizes and Distances is the only extant work written by Aristarchus of Samos, an ancient Greek astronomer who lived circa 310 BC - 230 BC. In this work, he calculates the sizes of the Sun and Moon, as well as their distances from the Earth in Earth radii. Aristarchus began with the premise that, when the moon was exactly half-lit, it forms a right triangle with the Sun and Earth. By observing one of the other angles in this right triangle, the ratio of the distances to the Sun and Moon could be deduced using a form of trigonometry.

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