What is "osculatrix"

Osculatrix \Os`cu*la"trix\, n.; pl. Osculatrixes. [NL.] (Geom.) A curve whose contact with a given curve, at a given point, is of a higher order (or involves the equality of a greater number of successive differential coefficients of the ordinates of the curves taken at that point) than that of any other curve of the same kind.

n. (context geometry English) A curve whose contact with a given curve at a given point is of a higher order (or involves the equality of a greater number of successive differential coefficients of the ordinates of the curves taken at that point) than that of any other curve of the same kind.