[f. L. type *tangentia, f. tangent-em TANGENT: see -ENCY.] The quality or condition of being tangent; state of contact.

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  Problem of tangencies, in old Geom., a problem in which it is required to describe a circle passing through given points, and touching straight lines or circles the position of which is given, the data being limited to three.

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1819.  Pantologia, s.v., Problem of Tangencies. Ibid. The treatise of tangencies was restored by Vieta.

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1832.  C. Davies, Treat. Shades & Shadows, 47. The points of tangency are the highest and lowest points of the curve of shade.

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1867.  F. H. Ludlow, Little Brother, 34. The wildest point of tangency which Man’s railroads make with Weaver’s woods.

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1895.  H. P. Stokes, in Athenæum, 16 Nov., 690/1. Points of tangency between certain Elizabethan celebrities.

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