How do you find the points of intersection between a cone and a plane.

The points on the plane form a hyperbola.

The image is of cone with different opening angles.

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- June 9th 2010, 05:01 AMdustydudeConic section question, intersection with plane!
How do you find the points of intersection between a cone and a plane.

The points on the plane form a hyperbola.

The image is of cone with different opening angles. - June 9th 2010, 06:48 AMTKHunny
Do you have equations for the cone and plane? Getting them on a coordinate axis system would be a good start. If nothing else, it will capacitate an algebraic solution.

- June 9th 2010, 07:29 AMdustydude
equation for the cone is ax^2+bz^2=cy^2

equation for the plane is z=h

the cone is defined by the variables a,b and c.

the plane intersects the cone z=h

I'm looking for an equation which defines the hyperbolas which are the points where the cone intersects the plane.

Thanks!