26 SHINKISHI HATAI 



When we classify our curves according to the corresponding 

 values of the constants, the frequency distributions of the 

 diameters should be represented by Pearson's curve of type 1, 

 except in group 4, in which it will be represented by the curve of 

 type 4. 



On the other hand, the frequency distributions of the length 

 of the internode in groups 1, 2 and 3 will be represented by the 

 curve of type 4, while the remaining two groups are represented 

 by the curve of type 6. 



I have not calculated the theoretical values of the curves, 

 since the observed curves as they are answer our present purpose. 

 In plotting these curves, we reduced the total frequency on the 

 basis of one thousand in each case. This not only renders a 

 comparison easier, but at the same time we can get a clear notion 

 as to the mode of a gradual transformation from small to larger 

 values where the total number of the internodes is approxi- 

 mately constant throughout life (see p. 28 for the validity of 

 this assumption). 



Thus we assume that there are one thousand internodes in 

 the nerve of the thigh, and these numbers are distributed in 

 different stages of the growing period in the manner shown in 

 figs. 1 (diameter) and 2 (internode). 



Let us first examine the curves for the internode. In group 1 

 (see p. 24) the curve is much nearer to the symmetrical figure and 

 the range of the length of the internodes extends only from 150 

 to 1050 micra. We notice here that the theoretical maximum 

 ordinate corresponds with the internodal length of 532 micra; 

 that is it stands nearly at the middle of the abscissa. 



In group 2 we notice several changes when compared with the 

 curve for group 1 . 



1. The total range of the variates has been increased and ex- 

 tended more towards the higher values (250 to 1650 micra). 



2. The position of the node has moved from 532 in group 1, 

 to 670 micra in group 2, and thus it is now situated at about one- 

 third of the distance of the total range from the lower end. 



3. Finally the shape of the curve shows a still greater deviation 

 from the symmetry. 



