Dandelin Spheres for the Hyperbola

​
cone angle
1.5708
sphere radius 1
1
sphere radius 2
1
spheres
contact circles
conic
foci
center
directrices
eccentricity
The hyperbola can be defined as the curve formed by the intersection of a plane with the two nappes of a cone. In this Demonstration, Dandelin's spheres show the relationship between a hyperbola and its foci and directrices.

References

[1] L. Piegl and W. Tiller, The NURBS Book, 2nd ed., New York: Springer, 1997.
[2] C. Zwikker, The Advanced Geometry of Plane Curves and Their Applications, New York: Dover, 1963.

External Links

Dandelin Spheres for the Elliptic Case
Dandelin Spheres (Wolfram MathWorld)
Hyperbola (Wolfram MathWorld)

Permanent Citation

Jan Mangaldan
​
​"Dandelin Spheres for the Hyperbola"​
​http://demonstrations.wolfram.com/DandelinSpheresForTheHyperbola/​
​Wolfram Demonstrations Project​
​Published: April 28, 2020