: Matemáticas: pencil of circles

geometry > geometric drawing > pencil of circles

pencil of circles

Any two circles in the plane have a common radical axis, which is the line consisting of all the points that have the same power with respect to the two circles. A pencil of circles (or coaxial system) is the set of all circles in the plane with the same radical axis. To be inclusive, concentric circles are said to have the line at infinity as a radical axis.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Pencil_(geometry)#Circles)

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