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# 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*)/(*a*−*x*).

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.

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## Word History and Origins

Origin of strophoid^{1}

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