1880.] Elementary Principles in Animal Mechanics. 



363 



From the discussion of these equations I find the following results, 

 as in Note IX : — 



2(Va)' 



5'0 1*66 per cent. 



5-5 1-49 



5-6 1-40 



57 1-39 



5-8 1-41 



5- 9 1-50 



6- 1-60 



7- 2-31 



From this, I find, by interpolation, the most probable values of 

 a and \/ A to be 



<*= 5-68 lbs. 

 v/A=120-31 „ 

 A=14,475 „ 



— — = 1 31 per cent. 



From these values I obtain the following comparison of theory with 

 observation : — 





Time of Fatigue. 



Difference. 



Weight. 





















Calculated. 



Observed. 



Seconds. 



Per cent. 



lbs. 



Sees. 



Sees. 







9-75 



64-5 



60-8 



+ 3.7 



+ 5'73 



7-75 



80-9 



80-2 



+ 0-7 



+ 0-87 



6-87 



95-5 



919 



+ 3-6 



+ 3-76 



5-87 



114-4 



108-5 



+ 5-9 



+ 5"41 



4-25 



139 '0 



146-8 



- 7-8 



- 5-31 



3-19 



158-5 



184-0 



-25-5 



-13 -80 



2-56 



187-3 



213-2 



-25-9 



-12-10 



o-oo 



481 -1 



448-7 



+ 32-4 



+ 7*21 



The maximum useful work will take place when wt is a maximum, 

 or wt= — which will be a maximum when w—oc, and the 

 maximum useful work will be, if t be the time corresponding to 

 w=iz=-—, wt—aa, and t=112T6 seconds. 



4a 



VOL. XXX. 2 c 



