The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Sphere

The Sphere

The sphere of radius r and center P(a, b, c) has the equation

11_partial_differentiation-8.gif

It is the set of all points at distance r from P (Figure 11.1.5). A sphere intersects any plane in a circle (possibly a single point or no intersection).

11_partial_differentiation-9.gif

Figure 11.1.5


Last Update: 2006-11-17