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Algebra Description of Infinite cone
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Hi, I was wondering if someone could tell me how the equation of the infinite cone is found from the input data <point> <vector> <angle> when using the InfiniteCone command.
Thanks!
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try the formula of cos of angle: ((XA) · u)/(XA*u)=cos(alpha) then calculate the square of the equation for a cuadric
[X=(x,y,z)]
How does this relate to the <point> <vector> <angle> input data? I can guess that <alpha> = angle, but is u = <vector>(axis of cone)? What are X and A?
X generic point (x,y,z) variables for the equation
A vertex of cone
u vector direction of cone
alpha angle
then do power 2 for eliminate sqrt() of denominator
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