strophoid

strophoid

[strof-oid, stroh-foid]
noun Geometry.
a plane curve generated by the loci of points p and pprime; on a straight line that intersects the y-axis at a point n and the minus x-axis at a fixed point q, such that pn = npprime; = on, as on changes, where o is the origin. Equation: y 2 = x 2 (x + a )/(ax ).

Origin:
1875–80; < Greek stróph(os) twine + -oid, modeled on French strophoïde

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strophoid   (strō'foid')  Pronunciation Key 


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The curve traced out by points P and P' which lie on lines through a fixed point A where the midpoint M of PP' is on a fixed line and the absolute value |PM| equals the absolute value |P'M| equals the absolute value |MO|, where O is the projection of A onto that fixed line.
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