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 Sightseeing Cruises Circle Line took delivery of the third of three new vessels constructed by Gladding-Hearn Shipbuilding in Somerset, Massachusetts. In January 2017, Circle Line Sightseeing Cruises purchased New York Water Taxi—among the assets acquired was the latter company's Circle Line Downtown brand, reuniting both Circle Lines under one owner. Circle Line was awarded with proclamations by two New York City mayors. In 1985, then Mayor Ed Koch proclaimed April 23 "Circle Line Day." Approximately 20 years later current Mayor Mike Bloomberg proclaimed September 17 "Circle Line Sightseeing Cruises Day" in 2008. In 2001, Circle Line vessels helped transport victims of the