240 On the Transverse Strain, 
xfrom AB, and = = force of all the parti- 
cles in de, and this multiplied by 2, gives 
v+1 
sbhx 
= their effect, or the momentum of 
a? 
their cohesion from AB. By a similar 
mode of reasoning we shall have the re- 
pulsive force of the particles in & = ae 
w+) 
and aa — their effect from AB as before. 
1 2sbd* 1 sba® 
Suppose d = 32 then iv? = 39 x Te-+2) 
2 _4 sha? 
d ae PTT ETT Re —= 32 [e42) 
3) 9 sha? 
d= 8 evcoee pesecseoes —— 32 Tw+2) 
4 __ 16 sha” 
d=-4 cewee seedbenese. =e 39 ~ I(vx2) 
5 25 sba* 
d= We weerecees eevese —— 32 (+2) 
6 36 sba* 
d= 6? Fteisdd dedive 33 x Tv+2) 
7 __ 49 sba? 
d=-34 Gevavakarences: = 39 x Te-2) 
8 64 sbaz 
d= i Tad Sea teaser sivee = 32 x (v2) 
The last three terms of which must be false, sinee they all 
sba* 
I(v+-2) 
the joist when every fibre is submitted to tension, and the 
preceding five terms (setting aside accidental coincidences) 
» which is that of 
give the strengths greater than 
