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11.1: Ellipses

11.1: Ellipses. Conics. The conics get their name from the fact that they can be formed by passing a plane through a double-napped cone (two right circular cones placed together, nose-to-nose). . Analytic Geometry.

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11.1: Ellipses

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  1. 11.1: Ellipses

  2. Conics The conics get their name from the fact that they can be formed by passing a plane through a double-napped cone (two right circular cones placed together, nose-to-nose).

  3. Analytic Geometry The study of the geometric properties of objects using a coordinate system is called analytic geometry (hence, the title of chapter 11).

  4. Applications of Ellipses If an ellipse is rotated about the major axis, you obtain a football.

  5. Applications of Ellipses The path of planets in orbit is elliptical in shape.

  6. Definition of the Ellipse • An ellipse is the set of all points such that the sum of the distance from P to F1 and P to F2 is k. • PF1 + PF2 = k (F1 and F2 are the foci)

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