Conic sections  circle
A circle can be defined as the shape created when a plane intersects a cone at right angles to the cone's axis. It is one of the four conic sections. (the others are an
ellipse, parabola and hyperbola).
In the above figure, there is a
plane*
that cuts through a
cone.
A circle is formed at the intersection of the cone and the plane if the plane is at right angles
to the vertical axis of the cone (i.e. parallel to the cone's base).
As you drag the plane to the top, the circle gets smaller until it is a single point at the apex of the cone.
As you drag it downwards the circle gets bigger.
On the left of the applet is a view looking down on the top of the cone, showing the circle's center
is on the cone's axis, and varies in size.
While you are here..
... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone.
However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site?
When we reach the goal I will remove all advertising from the site.
It only takes a minute and any amount would be greatly appreciated.
Thank you for considering it! – John Page
Become a patron of the site at patreon.com/mathopenref
Related topics
(C) 2011 Copyright Math Open Reference. All rights reserved
