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:
“Love is dead; let lovers’ eyes,
Locked in endless dreams,
The extremes of all extremes,
Ope no more, for now Love dies.”
—John Ford (1586–1640?)
“It is a good lesson—though it may often be a hard one—for a man who has dreamed of literary fame, and of making for himself a rank among the world’s dignitaries by such means, to step aside out of the narrow circle in which his claims are recognized, and to find how utterly devoid of all significance, beyond that circle, is all that he achieves, and all he aims at.”
—Nathaniel Hawthorne (1804–1864)