They all get the perimeter of the circle correct but only Approx 2 and 3 and Series 2 get close to the value of 40 for the extreme case of b0. X 2 a 2 y 2 b 2 1. When a b the ratio b a 1 and the Complete Elliptic Integral of the Second Kind E p 2 0 p 2.
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Section of a Cone. From a pre-calculus perspective an ellipse is a set of points on a plane creating an oval curved shape such that the sum of the distances from any point on the curve to two fixed points the foci is a constant. The equation of the ellipse is given by. For 0 eccentricity 1 we get an ellipse for eccentricity 1 we get a parabola.