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:
“Think of the wonderful circles in which our whole being moves and from which we cannot escape no matter how we try. The circler circles in these circles....”
—E.T.A.W. (Ernst Theodor Amadeus Wilhelm)
“These things are not inscribed in tablets, not sealed in the folds of papyri, but you hear them clearly from the tongue in a free mouth.”
—Aeschylus (525–456 B.C.)
“It could probably be shown by facts and figures that there is no distinctly native American criminal class except Congress.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)