Conic Sections - interactive 3-D graph

In the following interactive, you can vary parameters to produce the conics we learned about in this chapter.

Things to do

As you change sliders, observe the resulting conic type (either circle, ellipse, parabola or hyperbola).

  1. Change the y-value, which moves the intersecting plane up and down.
  2. Change the θ-value, which changes the angle of the intersecting plane.
  3. Change the x-value, which moves the plane left or right. (This makes more sense when the angle θ is not zero.)
  4. Change the camera angle by dragging the graph up or down.
  5. If your computer runs out of memory, you can disable the real-time update of curves.

Interactive 3-D Conics Graph

 

Rotation angle θ =

x =

y =

Conic type:

(Click and drag the graph to rotate the camera.) Disable real-time update:

Go back to « Conic Sections Summary

Credit

This 3-D conic interactive was developed by Lodewijk Bogaards. Used with permission.

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