strophoid

[ strof-oid, stroh-foid ]

/ ˈstrɒf ɔɪd, ˈstroʊ fɔɪd /

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).

Words nearby strophoid

strop, strophanthin, strophanthus, strophe, strophic, strophoid, strophulus, stropper, stroppy, strother, stroud

Origin of strophoid

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

Science definitions for strophoid

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.