Brandon Scott

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If we look at Mars at any two points in its orbit separated by equal amounts of time, the resulting sectors will always have equal areas, no matter where they are in the orbit. In a nutshell, the second law says that the planets do not move at a constant speed. Instead, the closer they get to the sun, the faster they move. The statement about equal areas in equal times is a way of making this precise.
Infinite Powers: How Calculus Reveals the Secrets of the Universe
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