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When you look at the moon through binoculars or a small telescope, the first thing you notice is that the lunar surface is divided into two distinct forms of terrain: large dark flat plains and bright mountainous highlands. Both of these are pockmarked by an enormous number of craters of all sizes.
The earliest method used by Galileo, Riccioli, and Hevelius in the mid-17th century, relied upon a game-changing realization: the shifting pattern of light and dark at the Moon’s terminator is caused by sunlight interacting with peaks and valleys. If a bright spot appears beyond the terminator, surrounded by blackness, it must mean that a mountain stands there, its height allowing the peak to catch the sun’s rays while everything around it is shadowed. Hevelius took advantage of this situation to calculate the height of select mountains when the Moon was at quadrature – half illuminated as viewed from Earth. The illuminated hemisphere is bounded by the letters BGEA, but the hemisphere viewed by the observer is BGAF. We see a disk half light and half dark, and a ray of light, DBC, just skims the edge of the Moon to hit the peak of a mountain at C. This geometry is special because the ray of light is perpendicular to our line of sight. That means that the distance between the terminator and the mountain (BC) can be directly compared to the diameter of the Moon because you’re seeing it straight on, while at any other angle this distance would be somewhat foreshortened. Once you have that ratio – the distance BC over the lunar diameter – you know the lengths of two sides of the right triangle, and all you have to do is calculate the hypotenuse, CA, and subtract the lunar radius to get the height of the mountain itself.
![](/files/collabspace/1/01/301/10301/images/b6b07ca7.png)