Thread: [SOLVED] Sphere inside a cone

My problem is this:

"Suppose a plane intersects a right-circular cone in a parabola
with vertex V. Suppose that a sphere is inscribed between the
cone and the plane and is tangent to the plane of the parabola at
point F. Show that the chord to the parabola through F which is perpendicular
to FV has length equal to that of the latus rectum of the parabola. Therefore, F is the focus of the parabola."

I have a very hard time trying to see what conditions the sphere puts on the point F.

Anyone?

Originally Posted by HBerg

My problem is this:
....
....
I have a very hard time trying to see what conditions the sphere puts on the point F.

Anyone?

Hello,

have a look at this site:
http://www.komal.hu/cikkek/dandelin/dandelin.e.shtml

May this will help a little bit.

Greetings

EB