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 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