In this page, we show pictures of conics obtained as
sections of a right circular cone. For completeness,
we include the degenerate cases.
As an example, take the origin O as vertex,
|Intersections with planes not through the vertex
are the usual plane conics.
Note. It is far from clear that these are conics
The theorem of Dandelin shows this directly.
Here, we will show that the sections of a cone
|Intersections with planes through the vertex
give degenerate plane conics.
Observe that each is either finite (a single point!),
main conics page