S. Haughton—Mechanical Work done by a Muscle. 189 
Equation (5) accurately represents both Professor Nipher’s 
series of experiments at constant rate, as is shown in the fol- 
lowing tables: 
TABLE III.—Prof. NipHer’s First SERIES. 
No. w. n (obs.) —_ (calc.) 
1 1 kil. 255 243 +12°0 
2 7 ate 97 109 12°0 
3 Sek 61 62 — 10 
4 FR EY for é 39°7 — 2°0 
5 ee 29°3 27°8 + 1°5 
6 So 21°5 20°5 + 1:0 
7 5, hy: 15°8 isi + 01 
8 Sines 12°8 12°5 0°3 
The calc ulated values of n were found from equation ©), 
the values of a’ and A being found by the principle of leas 
variation of A— 
In diagram IT, I construct the cubical aoa and show 
how closely the observations correspond wit 
half the actual weight of Prof. Nipher's s arm is 1°50 kil., 
it follows that in these experiments 0°49 kil. was lifted, by the 
Refreshment derived from rest, and from the occasional aid of 
other muscles. 
TaBLe IV. _—Prof. Nipuer’s SECOND SERIES. 
No w. n (obs.) n (cale.) Diff. 
1 3°0 kil. 152°5 145°5 +7°0 
2 35 95°8 93°1 +2°7 
3 40 “ 67:2 64°7 42:5 
4 45 “© 51:2 47°7 +3°5 
5 50 “ 36:9 364 +0°5 
6 55 886 28°8 —0°2 
7 60 * 227 23°3 —0°6 
8 65 * 18:1 19°2 — 1} 
9 70 © 145 16°1 —1°6 
The calculated values of m were found from equation (5), 
the values of a’ and A being found by the principle of least 
variation of A. 
a’=—1°00 kil. 
A= 6582 
In diagram IIT, I construct the cubical hyperbola, and show 
how closely the observations correspond with it. 
As half the actual weight of Prof. Nipher’ s arm is 1°50 kilos. 
it follows that in this series of experiments, 2°50 kilos. were 
lifted by the Refreshment derived from rest, and from the occa- 
sional aid* of other muscles. 
* Including, possibly, those of the assistant employed in the experiments, 
