Fitness and Wellness   Explorations an Introduction to Astronomy          Thomas T. Arny

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Chapter 1, Figure 19

Figure 1.19

Aristarchus estimated the relative distance of the Sun and Moon by observing the angle A between the Sun and the Moon when the the Moon is exactly half lit. Angle B must be 90° for the Moon to be half lit. Knowing the Angle A, he could then set the scale of the triangle and thus the relative lengths of the sides.

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