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:
“Even the strongest man needs friends.”
—Mario Puzo, U.S. author, screenwriter, and Francis Ford Coppola, U.S. director, screenwriter. Don Lucase, The Godfather III, advice given to Vincent (Andy Garcia)
“That three times five is equal to the half of thirty, expresses a relation between these numbers. Propositions of this kind are discoverable by the mere operation of thought, without dependence on what is any where existent in the universe. Though there never were a circle or triangle in nature, the truths, demonstrated by Euclid, would for ever retain their certainty and evidence.”
—David Hume (1711–1776)