7 8o 



HIKKKI.AM). TIIK \< >l( WKC.l A X ATKORA POLARIS I XT'KDI'I IO\, I G.O2 K)"'-j. 



reckon it positive it the inoveineiit of the system takes place in the direction of increasing M, or the 

 rotation ot the sphere takes place in the direction of decreasing o, if we imagine the outer current- 

 svstem fixed in space. \\'e need then only put 



-if' ^ i 



SI. . c I 



, instead ot 



cci cl 



i we confine ourselves to the first extreme case, we therefore have, according to equation (7), 



</' = 



31' 



do 



(421 



l''or inir polar current-system we found let. eq. i6| 



H cos _~ cos fi 



Thus we find 



I'"' 



o cos,? 4- (I - I.\ <ln 



I') . COS ti COS _" COS fi 



i I ..,-." ' \o cos .i 4- d /. ) 



and nccordins;' to equation (24) 



sin- ,j 



. C ' )S - C S '' | 

 sin- j 



1431 



/x) /,] 



Here too we have calculated the value of the current-function for systems answering to Jit =75, 

 180, 270', and sjiven similar o-functions which \ve have previously defined, and we have also repre- 

 sented the induced current-system on four charts. 



FABLE CXXYI. 



