Section X.
Of the motion of bodies in given ſuperficies, and of the reciprocal motion of funependulous bodies.
Proposition XLVI. Problem XXXII.
Any kind of centripetal force being ſuppoſed, and the centre of force, and any plane whatſoever in which the body revolves, being given, and the quadratures of curvilinear figures being allowed; it is required to determine the motion of a body going of from a given place, with a given velocity, in the direction of a given right line in that plane.
Let S (Pl. 18. Fig. 4.) be the centre of force, SC the leaſt diſtance of that centre from the given
