Category:Cissoid of Diocles

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This category contains results about Cissoid of Diocles.

Let $C$ be a a circle of radius $a$ with a distinguished point $O$ on its circumference.

Let $L$ be the tangent to $C$ at the other end of the diameter of $C$ through $O$.

Let $R$ be a point on the circumference of $C$.

Let $OR$ be produced to meet $L$ at $S$.

Let $P$ be the point on $OS$ such that $OP$ = $RS$.

The cissoid of Diocles is the locus of points $P$ as $R$ travels around the circumference of $C$.