Ford circle
id:
ford-circle-262-18283424
title:
Ford circle
text:
In mathematics, a Ford circle is a circle in the Euclidean plane, in a family of circles that are all tangent to the x -axis at rational points. For each rational number p / q , expressed in lowest terms, there is a Ford circle whose center is at the point and whose radius is 1 / . It is tangent to the x -axis at its bottom point, . The two Ford circles for rational numbers p / q and r / s are tangent circles when | p s − q r | = 1 and otherwise these two circles are disjoint.
brand slug:
wiki
category slug:
encyclopedia
description:
Rational circle tangent to the real line
original url:
https://en.wikipedia.org/wiki/Ford_circle
date created:
date modified:
2023-11-08T12:08:53Z
main entity:
{"identifier":"Q1436714","url":"https://www.wikidata.org/entity/Q1436714"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/77/Ford_circles_colour.svg","width":512,"height":544}
fields total:
13
integrity:
15