Category:Definitions/Circle of Apollonius

This category contains definitions related to Circle of Apollonius.
Related results can be found in Category:Circle of Apollonius.

Let $A, B$ be distinct points in the plane.

Let $\lambda \in \R_{>0}$ be a strictly positive real number.

Let $X$ be the locus of points in the plane such that:

$X A = \map \lambda {X B}$

Then $X$ is a circle of Apollonius.

Source of Name

This entry was named for Apollonius of Perga.