Power of a point P intersects the circle at A and B, the endpoints of the diameter. Their respective products of distances are equal to each other and to the power of point P in that circle This equality is sometimes known as the ""secant-tangent theorem"", ""intersecting chords theorem"", or the ""power-of-a-point theorem"". The power of a point is used in many geometrical definitions and proofs. For example, the radical axis of two given circles is the straight line consisting of points that have equal power to both circles. For each point on this line, there is a unique circle centered on that point
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.