[f. as prec. + -ENCY.]
1. The state or quality of being convergent.
1709. Berkeley, Th. Vision, § 35. The convergency or divergency of the rays.
1831. Brewster, Optics, iv. § 41. Rays of different degrees of divergency and convergency.
1846. Joyce, Sci. Dial., xvii. 312. To collect the light, or to bring it to a proper degree of convergency.
b. transf. and fig. of things immaterial.
1801. Foster, in Life & Corr. (1846), I. 140. A kind of convergency in my feelings.
2. Math.; cf. CONVERGENCE 3.
1791. E. Waring, in Phil. Trans., LXXXI. 15. Many more propositions concerning infinite series and their convergency are given in the Medit. Analyt.
1887. Hall & Knight, Higher Algebra, xxi. heading, Convergency and Divergency of Series. Ibid., 279, 230. Rules by which we can test the convergency or divergency of a given series without effecting its summation.
3. = CONVERGENCE 1, 2.
1794. G. Adams, Nat. & Exp. Philos., II. xv. 162. The point of convergency.
1836. Landor, Per. & Asp., ccxxv. Humours, the idioms of life are generalised in the concourse and convergency of innumerable races.