%osculator%

a. 1. Of or pertaining to kissing; kissing. “The osculatory ceremony.” Thackeray. [ 1913 Webster ]

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. [ 1913 Webster ]

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. [ 1913 Webster ]