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:
“Its interesting to leave a place, interesting even to think about it. Leaving reminds us of what we can part with and what we cant, then offers us something new to look forward to, to dream about.”
—Richard Ford (b. 1944)
“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)