Property
An inscribed angle is said to intersect an arc on the circle. The arc is the portion of the circle that is in the interior of the angle. The measure of the intercepted arc (equal to its central angle) is exactly twice the measure of the inscribed angle.
This single property has a number of consequences within the circle. For example, it allows one to prove that when two chords intersect in a circle, the products of the lengths of their pieces are equal. It also allows one to prove that the opposite angles of a cyclic quadrilateral are supplementary.
Read more about this topic: Inscribed Angle
Famous quotes containing the word property:
“Communism is inequality, but not as property is. Property is exploitation of the weak by the strong. Communism is exploitation of the strong by the weak.”
—Pierre-Joseph Proudhon (1809–1865)
“Those whom the gods chose as their property must not consort with mortals.”
—Franz Grillparzer (1791–1872)
“A few days later the younger son gathered all he had and traveled to a distant country, and there he squandered his property in dissolute living.”
—Bible: New Testament, Luke 15:13.