Forming the Conic Section

Discussion in 'Off-Topic Chat' started by nycmathguy, Jul 8, 2022.

  1. nycmathguy

    nycmathguy

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    Can you explain in basic terms how the Conic Section is formed by slicing a cone?
     
    nycmathguy, Jul 8, 2022
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  2. nycmathguy

    MathLover1

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    A Conic Section is the intersection of a plane and a double-napped cone; the plane that slices the double-napped cone does not pass through the vertex. The result, depending on direction of slice, is a Basic Conic Section shape forming a circle, ellipse, parabola or hyperbola.

    Circle:[​IMG] [​IMG]Conics Circle Slice



    Ellipse: [​IMG] [​IMG]Conics Ellipse Slice



    Parabola: [​IMG] [​IMG]Conics Parabola Slice


    Hyperbola: [​IMG] [​IMG]Conics Hyperbola Slice
     
    MathLover1, Jul 8, 2022
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  3. nycmathguy

    nycmathguy

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    Great reply. Good study notes. Nice photos.
     
    nycmathguy, Jul 9, 2022
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