Apollonius’ circle

Apollonius’ circle. The locus of a point moving so that the ratio of its distancesMathworldPlanetmathPlanetmath from two fixed points is fixed, is a circle.

If two circles C1 and C2 are fixed with radii r1 and r2, then the circle of Apollonius of the two centers with ratio r1/r2 is the circle whose diameterMathworldPlanetmathPlanetmathPlanetmath is the segment that the two homothety centers of the circles.

Title Apollonius’ circle
Canonical name ApolloniusCircle
Date of creation 2013-03-22 11:44:22
Last modified on 2013-03-22 11:44:22
Owner drini (3)
Last modified by drini (3)
Numerical id 11
Author drini (3)
Entry type Definition
Classification msc 51-00
Classification msc 35-01
Related topic HarmonicDivision