1876.] Rev. S. Haughton on the Law of Fatigue. 135 



sive value of /3 the quantity and finally choose that value of /3 which 



J A. S . A 



makes — ^ = minimum. 

 2. A 



The greatest deviation per cent, of any value of A from the mean 

 value is of course -J^---t = maximum error per cent., where is the total 

 number of experiments,. Proceeding in this manner, we find, from equa- 

 tion (2), the following — 



1-0 5-0 



1-4 4-43 



1-5 4-18 



1- 6 4-45 



2- 5-7 (Dr. MacaHster.) 



This gives a maximum error in the value of A of 16*72 per cent. 

 Applying the same method to equation (5), we obtain 



3 



^- S.A- 



0-6 10-2 



0- 9 3-22 



1- 1-55 



1-1 3-32 



1-6 8-4 (Dr. Macalister.) 



(acnode) and not a cusp. The curve is central and has a point of inflexion at the origin, 

 and the axis XX' is asymptotic on both sides. The tangent at the origin is « = A t 

 The ordinate (w) reaches a maximum for the yahies 



I3t±l = 0, 



correspoTidiug to M, M'. 



The curve has also two real points of inflexion N. N', corresponding to 



l3 f ± s/3 = 0. 



