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:

    Climb every mountain, ford every stream
    Follow every rainbow, till you find your dream!
    Oscar Hammerstein II (1895–1960)

    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)