One-Parameter Family of Curves/Examples/Concentric Circles
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Example of One-Parameter Family of Curves
The equation:
- $x^2 + y^2 = r^2$
is a one-parameter family of concentric circles whose centers are at the origin of a Cartesian plane and whose radii are the values of the parameter $r$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): family: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): family: 1.