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Optional Mathematics, Class 10
Conic Section
Parts of a cone · Four ways to cut · Circle to hyperbola
By the end of this lesson you can
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Name the vertex, axis, generator and semi-vertical angle
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Describe a doubled mapped right circular cone
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Say how a plane must cut to give each conic
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Use the angles \( \theta \) and \( \alpha \) to name a conic
Four curves around us
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Clock face: circle
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Planet's path: ellipse
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Satellite dish: parabola
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Hourglass outline: hyperbola
Presenter notes: Today we slice a cone and see four very different curves come out of it.