chordal
By the entry, the power of the point with respect to the circle
is equal to and with respect to the circle
equal to . Thus the locus of all points having the same with respect to both circles is characterized by the equation
This reduces to the form
and hence the locus is a straight line perpendicular to the of the circles. This locus is called the chordal or the radical axis of the circles.
Title | chordal |
---|---|
Canonical name | Chordal |
Date of creation | 2013-03-22 15:07:50 |
Last modified on | 2013-03-22 15:07:50 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 9 |
Author | PrimeFan (13766) |
Entry type | Result |
Classification | msc 51M99 |
Classification | msc 51N20 |
Synonym | radical axis |