page_title: Circle of antisimilitude
hierarchical_section_title: Circle of antisimilitude
context_page_description: In inversive geometry, the circle of antisimilitude of two circles, α and β, is a reference circle for which α and β are inverses of each other. If α and β are non-intersecting or tangent, a single circle of antisimilitude exists; if α and β intersect at two points, there are two circles of antisimilitude. When α and β are congruent, the circle of antisimilitude degenerates to a line of symmetry through which α and β are reflections of each other.
context_section_description: In inversive geometry, the circle of antisimilitude (also known as mid-circle) of two circles, α and β, is a reference circle for which α and β are inverses of each other. If α and β are non-intersecting or tangent, a single circle of antisimilitude exists; if α and β intersect at two points, there are two circles of antisimilitude. When α and β are congruent, the circle of antisimilitude degenerates to a line of symmetry through which α and β are reflections of each other.
caption: Disjoint circles.