some of a family of curves understood to be the locus of a place, P, on a line from a given fixed point to confirmed curve, C, where in fact the length along the line from C to P remains constant.
A curve, associated with 4th degree, first made usage of because of the Greek geometer, Nicomedes, which created it for the purpose of trisecting an angle and duplicating the cube.
an airplane curve devised by one Nicomedes, probably when you look at the second century before Christ, and defined by him therefore that when a straight range be attracted from a certain fixed-point, labeled as the pole of bend, on bend, the part of the line intercepted amongst the curve and a fixed range (today called its asymptote) is always corresponding to a fixed length.
It is a curve of the fourth order as well as the 6th class, unless this has a cusp at P, when it is of the 5th course. It's a double point at the pole, and fulfills its asymptote at four successive points at infinity. It's two branches.