Secant line point a "tangent line" and in no points an "exterior line". A "chord" of a circle is the line segment that joins two distinct points of the circle. A chord is therefore contained in a unique secant line and each secant line determines a unique chord. In rigorous modern treatments of plane geometry, results that seem obvious and were assumed (without statement) by Euclid in his treatment, are usually proved. For instance, "Theorem (Elementary Circular Continuity)": If formula_1 is a circle and formula_2 a line that contains a point that is inside formula_1 and a point that is outside of
Circle Line Sightseeing Cruises Circle Line took delivery of the third of three new vessels constructed by Gladding-Hearn Shipbuilding in Somerset, Massachusetts. In January 2017, Circle Line Sightseeing Cruises purchased New York Water Taxi—among the assets acquired was the latter company's Circle Line Downtown brand, reuniting both Circle Lines under one owner. Circle Line was awarded with proclamations by two New York City mayors. In 1985, then Mayor Ed Koch proclaimed April 23 "Circle Line Day." Approximately 20 years later current Mayor Mike Bloomberg proclaimed September 17 "Circle Line Sightseeing Cruises Day" in 2008. In 2001, Circle Line vessels helped transport victims of the