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convergency

convergency
  (kənˈvɜːdʒənsɪ)
  [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. 151 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.

Oxford English Dictionary

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