F. E. Nipher— Work done by a Muscle before exhaustion. 185 
the change in y, for each unit of change in 2, and is for eq. (4), 
2°58. For eq. (5) it is 1:99, which is essentially 2°0. 
w = (w+a) n log w log (w +a) logn (log w+a)+logn 
3°0 4°5 152°5 0°4771 0°6532 2°1833 2°8365 
3°5 5°0 95°8 0°5441 0°6990 1°9814 2°6804 
4°0 5°5 67°2 0°6021 0°7404 1°8274 2°5678 
4°5 6°0 51-2 0°6532 0°7782 1°7093 2°4875 
5°0 6°5 36°9 0°6990 0°8129 1°5670 2°3799 
5°5 70 28°6 0°7404 0°8451 174564 2°3015 
60 75 22°7 0°7782 0°8751. 1°3560 2°2331 
6°5 80 18°1 0°8129 0°9031 1°2577 2°1608 
70 85 14°5 0°8451 0°9294 171614 2°0908 
As will be hereafter shown, the observations are most nearly 
represented by eq. (8). It is, however, impossible to decide be- 
tween equations (2) and (8) with absolute certainty, until the 
experiments are repeated with other values of h andt For 
the present we assume the equation 
(wa)in=,- a a (6) 
from which we readily have w%hn=ce—aw?hn, 
which is of the form of =c+au. 
By the method of least squares, the values of the constants 
are more accurately determined, and are found to be 
aa—1°52 c= 42°61. 
Solving (6) for n, and substituting the proper values, and we 
have the following comparison of the observed and calculated 
values of n. dn is n (cale.) —n (obs.). e is the probable error of 
n(obs.), also in per cent. 
w n (obs.) n (cale.) dn (%) e (#) 
2°50 283 242 —14°4 75 
3°00 152°5 150°3 — 14 3°7 
3°50) 95°8 99-4 + 36 3°6 
4:00 67:2 69°2 + 2°9 2°9 
4°50 51°2 50°1 — 21 3°3 
5°00 36°9 37°4 + 1:3 2°4 
5°50 28°6 28°7 + 0°3 2°9 
6-00 22°7 22°5 — 09 1°3 
6°50 18°] 18-0 — 05 1*] 
7-00 14°5 146 + 07 07 
7°50 1 11°9 414-4 0°9 
