Dividing a circle into areas "F" can also be derived, which will solve the problem. Its vertices include the "n" points on the circle, referred to as the exterior vertices, as well as the interior vertices, the intersections of distinct chords in the interior of the circle. The "generic intersection" assumption made above guarantees that each interior vertex is the intersection of no more than two chords. Thus the main task in determining "V" is finding the number of interior vertices. As a consequence of the lemma, any two intersecting chords will uniquely determine an interior vertex. These chords are in turn uniquely determined by
Circle of antisimilitude Circle of antisimilitude 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. If the two circles "α" and "β" cross each other, another two