converge, v.


1. intr. ‘To tend to one point from different places’ (J.); to tend to meet in a point; to approach nearer together, as lines do, which meet if produced far enough. The opposite of diverge.

1691 T. H[ALE] Acc. New Invent. 124 The sides of the Ship converge into an Angle. 1751 CHAMBERS Cycl. s.v., Rays coming converging out of a rarer into a denser medium, converge less..than if they had continued their motion through the first medium. 1796 MORSE Amer. Geog. I. 609 To the south-west..the mountains converge into a single ridge. 1860 FROUDE Hist. Eng. VI. 144 Forces from these four points were to converge on London. 1878 HUXLEY Physiogr. 145 In the catchment-basin all the branches converge to the main stream; in the delta they all diverge from the trunk channel.
b. fig. To tend to meet in a common result or point of operation.
 1837-9 HALLAM Hist. Lit. (1847) 377 Every circumstance converges to the same effect on the mind. 1858 GLADSTONE Homer III. 341 We find much and varied evidence converging to support the hypothesis.
c. Math. To approximate in the sum of its terms toward a definite limit: see CONVERGING 2.
1796 HUTTON Math. Dict. II. 436 The first series is called a converging one, because that by collecting its terms successively, taking in always one term more, the successive terms approximate or converge to the value or sum of the whole infinite series. 1887 HALL & KNIGHT Higher Algebra §226 note, This series converges very rapidly.
2. trans. To cause (lines or rays) to approach each other; to cause to come together.
  1768-74 TUCKER Lt. Nat. (1852) II. 537 The object-glass..and the to converge the rays collected by the other. c1790 J. IMISON Sch. Art I. 243 By converging the sun-beams into a narrow compass. 1849 DE QUINCEY Wks. IV. 304 A central rendezvous for converging them. 1863 Possibilities of Creation 102 Power of converging the optic axes.