0

This is the maths representation of a problem which I have from the practice.

We have an interested cone with a diameter of the base $d$, height $h$ and the angle $\alpha$ as shown on the drawing. A plane $\gamma$ has been created which passes through the edge of the cone $A$ and again through the cone at point $B$ and the angle towards the base is $\beta$. Generally, the result section between the plane and the cone should be ellipse. The question is - is there any combination of values of $d, h, \alpha$ so that the section is circle?

A drawing of the problem can be found here: enter image description here

Mark Fantini
  • 5,523
user123949
  • 1

1 Answers1

1

I can't see your picture, but the intersection of a plane and cone will be a circle only if the plane is perpendicular to the axis of the cone.

bubba
  • 43,483
  • 3
  • 61
  • 122