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 September 11 attacks back to New Jersey. After US Airways Flight 1549 was forced to land in the Hudson River in 2009, Circle Line Sightseeing vessels were among the first to respond. Currently, Circle Line Sightseeing operates 8 vessels with an additional two under construction, including: The "Bronx", "Staten Island", and "Liberty" constitute Circle Line's new "Empire"-class boats, which claim to be state-of-the-art, and include modern amenities like digital screens and improved sound systems. Additionally, while she has been retired from service, the "Circle Line X" is retained by Circle Line, who claim to have "big plans" for the vessel.