Ellipse

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In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of both distances to the two focal points is a constant. It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. The elongation of an ellipse is measured by its eccentricity e {\displaystyle e} , a number ranging from e = 0 {\displaystyle e=0} (the limiting case of a circle) to e = 1 {\displaystyle e=1} (the limiting case of infinite elongation, no longer an ellipse but a parabola). An ellipse has a simple algebraic formula for its area, but for its perimeter (also known as circumference), integration is required to obtain the exact solution. The largest and smallest diameters of an ellipse, also known as its width and height, are typically denoted 2a and 2b...

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