Definition:Dandelin Spheres/Ellipse
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Definition
Let $\CC$ be a double napped right circular cone with apex $O$.
Let $\PP$ be a plane which intersects $\CC$ to form an ellipse.
The Dandelin spheres $\SS$ and $\SS'$ appear as follows:
Also see
- Results about Dandelin spheres can be found here.
Source of Name
This entry was named for Germinal Pierre Dandelin.
Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {IV}$. The Ellipse: $1 \text a$. Focal properties
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Dandelin sphere
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Dandelin sphere