UNICURSAL
U`ni*cur"sal, a. Etym: [Uni- + L. currere, cursum, to run.] (Geom.)
Definition: That can be passed over in a single course; -- said of a curve
when the coördinates of the point on the curve can be expressed as
rational algebraic functions of a single parameter th.
Note: As th varies minus infinity to plus infinity, to each value of
th there corresponds one, and only one, point of the curve, while to
each point on the curve there corresponds one, and only one, value of
th. Straight lines, conic sections, curves of the third order with a
nodal point, curves of the fourth order with three double points,
etc., are unicursal.
Source: Webster’s Unabridged Dictionary 1913 Edition