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Plane Curves with Pseudo-Rhamphoid Cusps
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A necessary condition that the parametric equations
x = f(T), y = g(T) (1)
represent the plane algebraic curve U(x, y) = 0 is that U [f(T), g(T)] = 0 in the parameter T. This condition merely states that the points given by the equations (1) are points of the curve U(x, y) = 0, and does not imply that to every point of the curve there corresponds a value of T.
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