MAT-170 Lecture 24: 11.2 The Ellipse Notes

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1 Dec 2017
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Provide a generalization to each of the key terms listed in this section*. A general collection of all points in a plane. A constant that is also the sum of the distances from the two xed points. The general line segment"s midpoint that is joining the foci. The given line that goes through the center and is also perpendicular to the major axis. The two points of intersection from both the ellipse and major axis. The distance from one vertex to another vertex. Ellipse"s equation: major axis along the x-axis x2 y2 b2 = 1 a2 + a > b > 0. F oci : ( c, 0) and (c, 0) V ertices : ( a, 0) and (a, 0) Ellipse"s equation: major axis along the y -axis x2 y2 a2 = 1 b2 + a > b > 0 b2 = a2. F oci : (0, c) and (0, c) V ertices : (0, a) and (0, a)

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