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# Lesson27_students_ - MA 15400 Lesson 27 Ellipses Section...

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MA 15400 Lesson 27 Section 11.2 Ellipses 1 An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points (the foci ) in the plane is a positive constant. The midpoint of the two foci is the center of the ellipse. The center C of the above ellipse is marked. There are two axes: The major axis is the longer of the two and contains the foci. Its endpoints are the vertices of the ellipses. The minor axis is the shorter of the two and its endpoints are simply known as the endpoints of the minor axis. There are three important numbers associated with an ellipse: a, b, and c . These numbers correspond the distances involving the center, the foci, the vertices, and the endpoints of the minor axis. Points and F F are the foci (plural of focus). The sum of the distances from any point of an ellipse (such as P or H ) to each focus is a constant value. For example, if 10, then 10 FP F P FH F H + = + = .

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