Os·cu·la·to·ry a.
1. Of or pertaining to kissing; kissing. “The osculatory ceremony.”
2. Geom. Pertaining to, or having the properties of, an osculatrix; capable of osculation; as, a circle may be osculatory with a curve, at a given point.
Osculatory circle. Geom. See Osculating circle of a curve, under Circle.
Osculatory plane (to a curve of double curvature), a plane which passes through three successive points of the curve.
Osculatory sphere (to a line of double curvature), a sphere passing through four consecutive points of the curve.