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
Fife Circle Line the full circle to Glenrothes. Some services regularly ran through to/from until 2015, but with the opening of the Borders Railway in September that year this routing ceased (except for a small number of weekday peak trains). Here the main line and loop line divide. The two lines join forming a circle. The east peninsula of Fife beyond Kirkcaldy is not served by railways post-Beeching. At one time a railway ran all the way from Thornton to St Andrews round the coast of Fife. The Beeching Report in fact recommended services continue between Thornton and Leven but these fell victim