# Math 41 Sections 11.1 and 11.2 - 11.1 Conics - the word...

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11.1 Conics- the word conic derives from the word cone. A cone has a fixed line called an axis, a vertex, generators, and the two parts(sides) of the cone are called nappes.- conics, an abbreviation for conic sections, are curves that result from the intersection of a right circular cone and a plane. Circlesare made when a plane is perpendicular to the axis of the cone and intersects each generator, but intersects only one nappe of the cone; parabolaswhen the plane is tilted farther so that it is parallel to one generator and intersects only one nappe of the cone; and hyperbolaswhen the plane intersects both nappes.Degenerate Conics– if the plane does not contain the vertex, it is the intersection of the plane and the cone is a point, a line, or a pair of intersection lines.11.2 The Parabola- a parabolais the collection of all points P in the plane that are the same distance from a fixed point F as they are from a fixed line D. The point F is called the focusof the parabola, and the line D is its

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