Buch 
Tracts on vaults and bridges : containing observations on the various forms of vaults; on the taking down and rebuilding London Bridge : and on the principles of arches: illustrated by extensive tables of bridges : also containing the principles of pendent bridges, with reference to the properties of the catenary, applied to the Menai Bridge : and a theoretical investigation of the catenary / Samuel Ware
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112

CASE IX.

When c and y are given, to find the rest.Log. tang. (45°-j- £. <p) =-—■ from which 9may be found ; and when 9 is found, t, z,and x may be found as in Case I.

CASE X.

When t and z are given, to find the rest.

C = v/ t*—z'

X = t - y/ t'—z 1 -

Sin. <? = -j

-- ■. t + z

y — m y/f—z' log. ~ - —

vi 1 — z 1

CASE XI.

When t and x are given, to find the rest.c — t — x.

Z = y/ It X - X 1 -

Sec. 9 = ~—

t - X

\ i t 4- y/ ‘it X - X z

y = m{t — x) log.-—--

CASE XII.

When t and y are given, to find the rest.

2