# Hyperboloids and Ellipsoids

Hyperboloids and Ellipsoids

This Demonstration shows hyperboloids of one and two sheets as well as ellipsoids. When modeling ellipsoids, make the , , and values equal to form a sphere.

a

b

c

The equation for the hyperboloid of one sheet is +-=1. The equation for the hyperboloid of two sheets is +-=-1, and the equation of the ellipsoid is ++=1.

2

(x-h)

2

a

2

(y-k)

2

b

2

(z-l)

2

c

2

(x-h)

2

a

2

(y-k)

2

b

2

(z-l)

2

c

2

(x-h)

2

a

2

(y-k)

2

b

2

(z-l)

2

c