Dividing a circle into areas lines (there are two points on one side and one on the other). So the recurrence can be expressed as which can be easily reduced to using the sums of the first formula_3 natural numbers and the first formula_3 squares, this combines to Finally which yields The lemma asserts that the number of regions is maximal if all "inner" intersections of chords are simple (exactly two chords pass through each point of intersection in the interior). This will be the case if the points on the circle are chosen "in general position". Under this assumption of "generic intersection", the number
Circle Line Downtown Islands until 2008, when the franchise was awarded to Statue Cruises. After the September 11, 2001 attacks, Meyer and Moran, sought to lend a hand in the revitalization of lower Manhattan. The two founded Circle Line Harbor Cruises, LLC., known in the global tourism community as Circle Line Downtown in 2004. On November 3, 2008 New York Water Taxi announced that they had purchased Circle Line Downtown. In January 2017, Circle Line Sightseeing Cruises purchased New York Water Taxi and the Circle Line Downtown brand, reuniting both Circle Lines under one owner. Circle Line Downtown operates the Zephyr Express, a