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On the Mathematical Principles of Newton's Natural Philosophy
Suppose that from 0 to 1, at any moment, its approaching speed is continuous, and the directions are all close to 1 and finally equal. Let's assume it stops somewhere in the middle. At this point, the difference between this point and the end point 1 is less than any given value. That is to say, when the speed tends to infinity, the difference between these two points also tends to infinity, so it will eventually be equal.