186 F. EB. Nipher— Work done by a Muscle before exhaustion. 
8'o Ww 
°"4 o'5 0°6 o°7 o'8 o9 { Sor (va) 
The comparison of the calculated and observed values of n 18 
very satisfactory. This is shown graphically on the chart, the 
small circles representing the observations. The values of 0”, 
€ proper sign, are also there represented by the broken 
dotted line, the zero line being the horizontal line, which it 
repeatedly crosses. The observed value of a is 1°50. The 
calculated value is 152. The difference, 0-02 ker., being 13 
per cent of a observed. 
Instead of eq. (6), Prof. Haughton has found the relation for 
the case here discussed, to be represented by the equation.* 
(rear)? nam Ao a os cs (7) 
where for my right arm he finds the values of the constants 1 
be A=1000 and a=1-0. The experiments from which this 
formula was obtained are, as before said, unreliable, and the 
calculated value of @ is 83 per cent less than the observed 
value. This relation would also demand that v’, in equatio2 
(2), should equal unity. It was found to be 2°58. 
In order to test the matter, experimentally, I performed tw? 
experiments as follows: 
1, arm alone (w=0) was lifted through 90° (from vert 
cal to horizontal) in the time 1:25 seconds, the experiments be- 
ing conducted exactly as described in my later experiments. 
According to (7) for complete exhaustion n=1000 
oe (6) 46 “ 77 Remand 
* Principles of Animal Mechanics. London, 1873. p. 463. 
