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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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Ill

CASE VI.

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

Z = y/ F — C 2 -

Sec. <p = —

c

, t + v/ v- — c zy = c m log. —-

CASE VII.

When c and s are given, to find the rest.

t = \/ z 2 + c zX = y/ Z Z +C Z - C

Tan. f = —

c

1 \/ z z + c* + z

y = c m log. — - -

CASE VIII.

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

t = c x.

Z = y/ 2 CX+X

See p =

y = cm log.

C + X + y' 2cx H-

c

 
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