258 On the Transverse Strain, 
was then taken off, and a small slip of thin 
tin forced in between the ends of the iron. 
24. The deflections in both of them and 
consequently the extensions are, through 
their whole ranges, very nearly in the pro- 
portion of the forces. The same may be said 
of the last experiment, and of every other we 
made, during the earlier stages of flexure ; 
but as we continued the experiment, and ar- 
rived nearer to fracture, the extensions always 
increased faster than the forces—We will 
seek for the ultimate value of the index v in 
the last experiment, and for that purpose shall 
select one of the earlier weights, as 2016, with 
its deflection 28, and the last weight it bore 
or 1051b, with its deflection 241; aid since 
the forces were supposed to be as the v power 
of the extensions, we have 20% : (28)’:: 1058: 
(241)’. But v in the two cases is different, 
and in the former is =1 (since then the ex_ 
tensions were as the forces), and hence we 
have 20:28::105: (241), or (241)’"= So 
= 147. And by taking the Logarithms we 
have v x Log. 241 = Log. 147, and v= 
Log. 147 2.1673173 9098 ; 
Log. 241 2.3820170 — Lo000 — *» Bearly: 
And pursuing the same mode with respect 
to the two former experiments, and considering 
