Ford Circle

In mathematics, a Ford circle is a circle with centre at (p/q, 1/(2q 2)) and radius 1/(2q 2), where p/q is an irreducible fraction, i.e. p and q are coprime integers. Each Ford circle is tangent to the horizontal axis y = 0, and any two circles are either tangent or disjoint from each other.

Read more about Ford Circle:  History, Properties, Total Area of Ford Circles

Famous quotes containing the words ford and/or circle:

    Can a free people restrain crime without sacrificing fundamental liberties and a heritage of compassion?... Let us show that we can temper together those opposite elements of liberty and restraint into one consistent whole. Let us set an example for the world of a law-abiding America glorying in its freedom as well as its respect for law.
    —Gerald R. Ford (b. 1913)

    Everything here below beneath the sun is subject to continual change; and perhaps there is nothing which can be called more inconstant than opinion, which turns round in an everlasting circle like the wheel of fortune. He who reaps praise today is overwhelmed with biting censure tomorrow; today we trample under foot the man who tomorrow will be raised far above us.
    —E.T.A.W. (Ernst Theodor Amadeus Wilhelm)