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What are conic sections and why should I care?

April 26, 2017conic

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What are conic sections and why should I care?

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The right circular cone looks like what is sketched to the right. Suppose this cone is sliced by another plane. A conic section is the resulting curve: the intersection of the cone and the plane. The type of the curve is determined by the angle made by the intersecting plane and the axis, and how this angle relates to the vertex angle of the cone.