# Category:Dandelin Spheres

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This category contains results about **Dandelin Spheres**.

Definitions specific to this category can be found in Definitions/Dandelin Spheres.

Let $\CC$ be a double napped right circular cone with apex $O$.

Let $\PP$ be a plane which intersects $\CC$ such that:

- $\PP$ does not pass through $O$
- $\PP$ is not parallel to a generatrix of $\CC$
- $\PP$ is not perpendicular to the axis of $\CC$.

Hence, by construction, the resulting conic section $\EE$ is either an ellipse or a hyperbola, and is not degenerate.

Let two spheres $\SS$ and $\SS'$ be constructed so that they have ring-contact with $\CC$ such that $\PP$ is tangent to both $\SS$ and $\SS'$.

Then $\SS$ and $\SS'$ are known as **Dandelin spheres**.

## Pages in category "Dandelin Spheres"

This category contains only the following page.