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strophoid
In geometry, a strophoid is a curve generated from a given curve ''C'' and points ''A'' (the fixed point) and ''O'' (the pole) as follows: Let ''L'' be a variable line passing through ''O'' and intersecting ''C'' at ''K''. Now let ''P''1 and ''P''2 be the two points on ''L'' whose distance from ''K'' is the same as the distance from ''A'' to ''K''. The locus of such points ''P''1 and ''P''2 is then the strophoid of C with respect to the pole ''O'' and fixed point ''A''. Note that ''AP''1 and ''AP''2 are at right angles in this construction.
In the special case where ''C'' is a line, ''A'' lies on ''C'', and ''O'' is not on ''C'', then the curve is called an oblique strophoid. If, in addition, ''OA'' is perpendicular to ''C'' then the curve is called a right strophoid, or simply strophoid by some authors. The right strophoid is also called the logocyclic curve or foliate.
==Equations==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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