### Lexicographical Neighbors of Cosech

### Literary usage of Cosech

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *The Algebra of Coplanar Vectors and Trigonometry* by Robert Baldwin Hayward (1892)

"prime vector 01, and whose centres lie on the line JOJ', the distance from 0 to
the centre of any particular circle being coth 2v and its radius **cosech** 2v. ..."**2.** *The Applications of Elliptic Functions* by George Greenhill (1892)

"... may be supposed defined by v = a and v = — ft, so that a = k **cosech** a, b = k
**cosech** ft, c = /c(coth a + coth ft); and putting a + ft = &, Maxwell shows, ..."**3.** *A Treatise on the Integral Calculus: With Applications, Examples, and Problems* by Joseph Edwards (1922)

"EXAMPLES. 1. Taking / — <£r—- tanh -= , write 2m for TO and integrate with regard
to m from 0 to m. Then rr cos 2m.i-~\m , 1 , **cosech** itr dx — 5 log cosh m, ..."**4.** *Report of the Annual Meeting* (1899)

"If Q be the intersection of sinh u and **cosech** u, Q must lie on the axis of u.
... The value of cosh u is given by Thus 2 cosh M=cosh 2t **cosech** M=cosh u= ..."**5.** *A Course of Pure Mathematics* by Godfrey Harold Hardy (1908)

"Dx log tanh Jx — **cosech** x. [All these formulae may of course be transformed into
formulae in integration.] 23. Prove that cosh x > 1 and - 1 < tanh x < 1. ..."