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 War II, retired Coast Guard cutters, and private yachts. Operating as Circle Line-Statue of Liberty Ferry, Inc., this offshoot was contracted by the United States Department of Interior National Park Service to provide exclusive ferry service to both Liberty Island and Ellis Island in 1954. In 1982, the company collectively known as Circle Line split into two separate entities, Circle Line Sightseeing at 42nd Street and Circle Line-Statue of Liberty Ferry, Inc. Meyer and Moran soon came to head Statue of Liberty Ferry. Operating out of Battery Park, Circle Line-Statue of Liberty Ferry, Inc. ran service to Liberty and Ellis