Dandelin Spheres

Suppose we have an infinite circular cone in vertical position with angle [math]\alpha [/math]between its axis and its generator. Consider a plane [math]a[/math] at angle [math]\beta[/math] with the vertical axes. The plane intersects the cone in the light blue curve. This applet demonstrates that the curve is either an ellipse, a hyperbola, or a parabola.

 

Irina Boyadzhiev

 
Resource Type
Activity
Tags
angle  cone  exploration  intersection  plane  sphere 
Target Group (Age)
15 – 19+
Language
English
 
 
 
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