LENGTH OF THE INTERNODES 



37 



length of the internode and its diameter in frogs of any given 

 size. 



Assuming that our hypothesis is correct, the next step was the 

 actual determination of the two constants h and A from the obser- 

 vations for each group. I have determined these constants by 

 ordinary algebraic methods, and the five equations stand as 

 follows : 



TABLE 7 



For group 1 y = 477 . 6 e- 0159x 



For group 2 y = 501 . 1 e- om * 



For group 3 y = 470.2 e- 0426 * 



For group 4 y = 559 . 9 e 0553x 



For group 5 y = 613 . 5 t - 0752x 



The following table (8) shows the values of the observed and 

 calculated length of the internodes corresponding to the various 

 values of the diameter. The calculations have been made for 

 each group by the formulas just given. 



TABLE 8 



In the first place if we examine the formula for each group, 

 one point of interest is shown, that is the value of the constant 

 "h" which determines the steepness of the curve (see formula 1) 

 increases regularly from the smaller to the larger frog. Since, 



