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 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