Tac-Locus/Examples/Arbitrary Example 1

Example of Tac-Locus

Let $\FF$ be the family of circles embedded in the Cartesian plane defined by the equation:

$\paren {x - m}^2 + \paren {y - m}^2 = 4$

whose parameter is $m$.

The tac-locus of $\FF$ is the straight line whose equation is $y = x$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): tac-point
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): tac-point