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: y2 = x2(x+a)/(a−x).

Origin of strophoid

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

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

strophoid in Science

strophoid

[strō′foid′]

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.