Pencil of circles
This term is related to: incidence geometry
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This term is related to: inversive geometry
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A pencil of circles in an inversive plane is a maximal collection of mutually tangent circles through a common point. The common point is termed the carrier of the pencil. By the axioms of inversive geometry, it turns out that for every point other than the common point, there is a unique member of the pencil through it.
A pencil of circles is also termed a parabolic pencil of circles.