( 529 ) 



(7i = 10 (/)) luiN'e been traced. The ciirxes 2,8 and 3,4 repi-esent 

 therefore the type J], with coiiAex beginning and concave end for 

 T = /{.>'). Tlie calculations (according to formulae (4)) are summarized 

 in the annexed table, i.e. for "J\ = h 1\, to which fig.S applies. 



With this change of q, we do not enter the region £J; therefore 

 q^ would have to be smaller than 0,26 7\ (see above). 



V. It remains to answer the question, to Avhat modifications the 

 fields and their limits drawn in fig. 3 are subjected, when 7\ is 

 not è T„ but e.g. 0,9 T, or 0,1 T,. 



The initial directions of the curves I to IV remain quite the same, 

 also the final directions, but between them there are some modifi- 

 cations; specially the place of the points of intersection and of the 

 maxima is changed. 



(t. If 7; is no longer 0,5 T„ but e.g. 0,9 T„ so that T, and T^ 

 are vert/ near to each other, we find for the maximum J/^ from 

 {Sa) and {8b): 



yielding (9, = 1,45% hence, as ^^ — 'l^f -- — -—] is now '^' 



2 yi\ TJ ^ 187\' 



q, = 26,2 7\. For q, we find then q, — 12.4 1 \. 



The maximum has now got quite outside the limits of the values 

 of q which occur practically, so that the curve I now gradually rises 

 within these limits, (fig. 5). 



The point of intersection of I with II has not been displaced much. 

 We find now for it ^, =r 5,85 1\ , q^ = 5,55 T,, so that the value of 

 q^ has remained nearly constant. 



The consequence of the modified course of the curves I and II 

 is, that the region 7>\ has all but disappeared; on the left of S^ 

 I and II nearly coincide; the region B^ has strongly diminished. 



But also C and D have considerably diminished, so that the greater 

 part of the space is left for A and E. 



The considerable increase of the region J:J is due to the fad, that 

 the point of intersection of the curve lY Avith the ^y^-axis lies much 

 higher than in fig. 3, and that the maximum has moved considerably 

 to the right. In fact we find for the point of intersection mentioned : 



<?i-f-3,6T, i^hsT, q, 



--/ = 1,8 7^, or e - 10 -—— = 1, 



1+e 



from which -^- = 3,577, so 7, = 64,4 1\. 



