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Concept# Cissoid

Summary

In geometry, a cissoid (() is a plane curve generated from two given curves C1, C2 and a point O (the pole). Let L be a variable line passing through O and intersecting C1 at P1 and C2 at P2. Let P be the point on L so that \overline{OP} = \overline{P_1 P_2}. (There are actually two such points but P is chosen so that P is in the same direction from O as P2 is from P1.) Then the locus of such points P is defined to be the cissoid of the curves C1, C2 relative to O.
Slightly different but essentially equivalent definitions are used by different authors. For example, P may be defined to be the point so that \overline{OP} = \overline{OP_1} + \overline{OP_2}. This is equivalent to the other definition if C1

Official source

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