66 INJURY, RECOVERY, AND DEATH 



maximum may be approximately ascertained by means 

 of the formula. 39 



Maximum resistance = 2830 f 1 ^ 2 " Kl + 10 



15 ' 3889 10 = 153 - 98 - 



In the present case 



Hence we may, for convenience, put K l = I and K 2 = 



16.3889. We then have Maximum resistance =2380 



16.3889 



U6.3889/ 



The actual maximum found by calculating the curve 

 is close to 153.94 (which occurs at 75 minutes). Such 

 a close approximation must not, however, be expected 

 in most cases. 



Where the maximum of the curve is known and it is 

 desired to find the relation K l -~K. l (as a preliminary 

 step toward ascertaining the values of K l and K% by 

 trial) we may plot a series of values of K^-~-K^ as 

 ordinates, and maxima (obtained by calculation) 

 as abscissae, and thus approximate graphically to the 

 desired figure. 



When the height of the maximum is known, the time 

 at which the maximum occurs may be found as follows : 

 When the maximum is attained the value of M may 

 be called M max and the value of A may be called A T [ 



39 This may be regarded as an approximation formula. We consider 

 that the value of A before any of it has decomposed to form M and B, 

 is 3050 and if this is substituted for 2830 in the formula it will give 

 exact values, provided the constants are not changed as M increases from 

 to the maximum. But if M increases from to 90 with one set of 

 constants and then from 90 to the maximum with another set, the formula 

 no longer holds and the approximation formula may be used. Cf. Mellor, 

 J. W. (1909) p. 115. In the formula as given by Mellor a misprint occurs. 



