If r = (x, y), r1 = (x1, y1), and r2 = (x2, y2), describe the set of all points (x, y) such that |r – r1 | + |r – r2 | = k, where k |r1 – r2|. Example 48

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No general formula for the circumference of a (non-circular) ellipse exists which can be evaluated in a finite number of steps. Numerous approximations exist, however, and have real-world applications.

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