( 710 ) 
of MRT for the calculation and obtain the form: 
2e 1 
Et 
b‚(n —1)? l d n* | bag 
(n—1)? « 1 (n—1)? l—a« 
1 az (1—z) 
oe b? bts Wile ate ; 
by writing ea Cia TX? A for 5 
pier a a) 
If we seek the maximum value of 7’, we find for the determination 
of « an equation of the 3'4 degree, viz.: 
3n—1 3—n 
EE — n?z* = 0 
(1 —2)* + z{l—e) 
; nr 
and putting Rn k: 
—z£ 
a di 
1 + k——— kt? 
2n 
sk = 0. 
op 
For n=1 we should have k=—=1, for n= 2 k=—= 1,22; but for 
k 1 
very high value of » — approaches to ze This implies that forn =1 
n iy 
ate. 1 ; 1 
the maximum value of MRT lies at a and for n= ata 
1 1 
For all other values of 7 zr lies between 5 and = By the aid of 
this value of « we can then calculate the highest value of MRT 
for the points where X = 0. But the conclusion is not different from 
that at which we arrived above: viz. that only with 2 appreciably 
larger than 3 the value of the temperature can rise to 7), or even 
to ae 
The value which we found in general in equation (1) for the tem- 
perature of the points of the closed curve is too intricate to be fully 
discussed. We can, however, foresee what in general the shape of the 
T,«-projection will be. For a curve of small dimension the point P 
of fig. 89 and fig. 40 is to be replaced by a smaller chosed curve 
which extends according as the former curve itself assumes greater 
dimensions. Of course the other lines experience the influence of this. 
Thus in fig. 39 the point P,, will descend and P ascend. For 
every value of 2, so of a, 6, B and X, the first part of MRT in 
a B'4X(1—2B) 
b (14+ By indicates the value of the arith- 
equation (1), viz.: 2 
