1) Fix a circle OA, and its tangent c at A.
2) Let B be the diametrical point of A on the circle.
3) For a variable point C on the line c, consider the point Y, such that CY = BX, on the line BC.
4) Y describes the Cissoid of Diocles, as X moves on the circle.
For the construction of the cissoid through the [implicit function tool] look at file: Diocles2.html .