ON THE EFFECT OF THE INTERNAL FRICTION OF FLUIDS
Let m2________
1 12.22.3 m2 m
m6
m4 _ m
v f72 r2.2'2.32.4 ,, m4 m
+ ... = MM .rr-o-ia' O*"Q« ,-K---^
i2 r. 22. ™2o ™6
T^""12.22.3
0, r>22 r.arsv
^4 vrt8
+ ...=J
we «-...-^ ^-P^.VV-=^
m2
m6 ,
"12.22.32"
m8
I2.5
12 92 O* ^
ci , __ Ar '
2/b4 + ...~,iv,
(104):
then substituting in (101), changing the sign of 7 - i, and arranging the terms, we get
A-M^LN-l (i- j/(/)-.vL/- I

(105).
33. Before going on with the calculation, it will lx» ivqui.sitr to know the numerical value of the transcendental quantify A.
Now
- log r(l +,)_, for, -A,
and the value of d/ds . log T (1 + s) may be <(ot a,i <»nr<» IV. im Legendre's table of the common logarithms of I' (I 4 ,s-), in which the interval of s is '001. Putting ls for the tabular number ronv spending to 5, we have
js log r (1 + s) = 1000 log, 10 {AZ. - i A% + i AV. - J A V. \ . . . | .
?s = + 16050324,
%«-35f», AV, :
* These numbers are copied from De Morgan's Differential and fntt>,,rtli <'„!<•„, lus, p. 588.