One-Parameter Family of Surfaces/Examples/Concentric Spheres
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Example of One-Parameter Family of Surfaces
The equation:
- $x^2 + y^2 + z^2 = r^2$
is a one-parameter family of concentric spheres whose centers are at the origin of a Cartesian $3$-space and whose radii are the values of the parameter $r$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): family: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): family: 2.