Circles Inscribed in Or Circumscribed About Other Figures
In every triangle a unique circle, called the incircle, can be inscribed such that it is tangent to each of the three sides of the triangle.
About every triangle a unique circle, called the circumcircle, can be circumscribed such that it goes through each of the triangle's three vertices.
A tangential polygon, such as a tangential quadrilateral, is any convex polygon within which a circle can be inscribed that is tangent to each side of the polygon.
A cyclic polygon is any convex polygon about which a circle can be circumscribed, passing through each vertex. A well-studied example is the cyclic quadrilateral.
A hypocycloid is a curve that is inscribed in a given circle by tracing a fixed point on a smaller circle that rolls within and tangent to the given circle.
Read more about this topic: Circle
Famous quotes containing the words circles, inscribed and/or figures:
“The [Loyal] legion has taken the place of the club—the famous Cincinnati Literary Club—in my affections.... The military circles are interested in the same things with myself, and so we endure, if not enjoy, each other.”
—Rutherford Birchard Hayes (1822–1893)
“[One cannot express lack of knowledge in affirmative language.] This idea is more firmly grasped in the form of interrogation: “What do I know?”Mthe words I bear as a motto, inscribed over a pair of scales.”
—Michel de Montaigne (1533–1592)
“I will stand on, and continue to use, the figures I have used, because I believe they are correct. Now, I’m not going to deny that you don’t now and then slip up on something; no one bats a thousand.”
—Ronald Reagan (b. 1911)