[ 3 l6 ] 
radius, and H the ratio whofe hyperbolic logarithm 
* &c.) and the ratio of 
is 
12 n 360 n 3 ^ 
6 3 
1260 n s 
R/arQ^to RQW/j at the poin t of contrary flex- 
ure, will be 
n 4-1 .797884 
= - X TJ 
V nXVn — 1 ** 
n 
n X n~ri n. n- a. « — 4 1 W. » - 2-« — 4. « — 6 __ 
2.5.4. ~i l 2.37.8. i^T] 3 2.3.4.9-16. ^71 4 “ 
Now when n is little, the value oi this exprefiion 
will be confiderably greater than .6822. It ap- 
proaches to this continually as n increafes ; and when 
n is large, it may be taken for this exactly. Thus 
when n = 6, this exprefiion is equal to .804. 
When n = no, it is equal to .6903. If we would 
know the ratio of R bt Q_to Pv Q^W h, when Cf 
comes to decreafe no fafter in reipect of Q t, than 
Q 7^ decreafes in refpedt of F t j that is, when the 
excefs of above C j , is greateft in comparilon of 
the excefs of F t above it may be found (by 
putting the fourth term of the feries in the iq ,h 
Art. equal to the fecond term, and then finding the 
value of z) to be about .8426, when n, p, and q 
are confiderable 5 and in other cafes greater. 
Coroll. ’Tis eafy to gather from hence that in 
like manner the greateft part of the area A D H lies 
between the two ordinates at the points of contrary 
flexure -f* . 
* Vid. the Second Rule in the Eftay, Phil. Tranf. Vol. LIII. 
4 From this Article may be inferred a method of finding at 
once, without any labour, whereabouts it is readable to 
judecthe probability of an unknown event lies, about which a 
given number of experiments have been made. For when 
