( 527 ) 



The maxiinuin is found in exactly the same way as in I, and is 

 determined by 



0, 



to which belongs 



1\ 



^' 2\ — T. 



(8c) 

 (Sd) 



If r, = V, 1\, then (8c) yields: 



6», - e''' = 0, 

 from which 8^ z= 0,5Q1 , ov q^ = 1;137\. According to (8^/) we have 



q. = 2^, 



2T^ ::^0,26Ti. 



Further we have the following values for q^ for increasing \aliies 

 of q,. 



= 2 2\ 

 6„ 



e - = 2,72 

 7,39 

 20,1 



0,16 7\ 

 -0,57 „ 

 - 1,24 „ 



q^ = 10 T, 



15 ,, 



r:148 

 1810 



-1,98,, 



Already at q^=zl51\ the limiting direction q.^ = — 47', (here 

 = — 2jf\) has been all but reached. 



IV. So we have seen, that the four limiting curves (see fig.3), 

 which divide the gj,^/.3-space into different fields, radiate from the 

 origin (q^ = q,^ = 0) in the space. All of them touch in the origin 

 the straight line q^^=q^, the former two on the right, the latter two 

 on the left. Only I is intersected by II ; IV tails for the grealer part 

 outside the positive region ; I and IV show maxima. 



Below I and on llie right of 11 lies the h'ehl A of tiio coiixex 

 sliaped meltingpoiut-curves. 



Between I and II on the left of the point of intersectioJi S^ lies 

 a small region B^, Avhere the end of T = /{.i;) has become concave ; 

 on its right is the region B.„ where the /)e</ünui/</ of 7' = /(.6') has 

 become conca^'e. 



Between 11 and 111 (on the left of N,, belween 1 and lllj lies 

 the field C, where T = /{j') is concave throughoul ils course, T — f{x') 

 convex. 



Between III and the «/,-axis (below ;S', l)etween III and IV) lies 

 the field D, where only the end of T = f [x') is still convex. 



Finally there is still a very small region between IV and the 

 q^-i\.\.\^, where the meltingpoiid curve — both 7':= ƒ(,/') and T=:/{.i;') — 

 is concave throughout its course. 



If we assume a fixed value for <?„ e.g. (/, i=r 37'i, and vary <?i from 



