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In mathematics, a Ford circle is a circle with center at ] {\displaystyle ]} and radius 1 / , {\displaystyle 1/,} where p / q {\displaystyle p/q} is an irreducible fraction, i.e. p {\displaystyle p} and q {\displaystyle q} are coprime integers. Each Ford circle is tangent to the horizontal axis y = 0 , {\displaystyle y=0,} and any two Ford circles are either tangent or disjoint from each other.
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