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Originally Posted by Slavakion
You can take any circle, and divide its circumference by its diameter. You get pi every time. A circle that doesn't do this isn't a circle by all modern definitions. If you can prove this wrong, you just broke math.
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Circles are usually defined by the 1 dimensional set of points equidistant from a center in a 2-dimensional space. If that space is a Euclidean plane, then circumference/diameter=pi. If it is not a plane, then you don't get pi.