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
Group of rational points on the unit circle to the origin, equal to 0. The identity in this larger group is (1,0,1,0), and the group operation is formula_9 For the group on the unit circle, the appropriate subgroup is points of form ("w","x",1,0), with formula_10 and its identity element is (1,0,1,0). The unit hyperbola group corresponds to points of form (1,0,"y","z"), with formula_11 and the identity is again (1,0,1,0). (Of course, since they are subgroups of the larger group, they both must have the same identity element.) Group of rational points on the unit circle In mathematics, the rational points on the unit circle are those points ("x",