232 On the Transverse Strain, 
summed by the mode used in the preceding 
examples; we might (retaining the first 
figure and the same notation) suppose the 
breadth of any double ordinate as de to 
be = x, and since the enpcanee* of cohe- 
, (art. 3d.) 
sion of de was found to Liew 
its breadth being unity, its momentum will 
vo+1 
in this case be expressed by _ 
And 
the sum of these momenta, or the fluent of 
v+1 
Y?_*, when «—a, will be equal to lx W; 
a’ 
where / is the length Dd, and W the weight 
to bend or break the beam. 
But if the flexure of the body be worth 
taking into the account, the effective leverage 
will not. be Dd but Ed, a line perpendicular 
to the action of the weight; and which will 
be to DB, or 1, as cosine of deflection DBE 
Dd x cosin. defl. 
Rad, 
to Radius. Whence Eb — 
=1X cosin. Deflection, and the resistance of the 
v+1 
body = ja *_ =1x Wxcosin. Deflection. 
vo+l 
6) ae ee eet 
W, therefor e, a’x1 > cos. Defi. 
Corol. Ist. If v=o, or all the fibres re- 
