238 ADDENDUM TO PAPER No. 4. [15 



- = 0-00089,40885, + 0-00169,77375/+0'00101,3438e' 2 



+ { - 0'00692,91739,6e'} cos <j>' 



+ {0-00717,98881, + 0'01624,5654/- 0'02411,1402e /2 } cos 2| 



+ {0-03036,07348,e'}cos (2f-^') 



+ {-0-00445,13839,5e'}cos(2f + <') 



+ {0-00003,29131, + 0-00014,9717/-0'00039,3997e' 2 } cos 4f 



+ {0-00027,99970,e'}cos(4f-( / ) 



+ { - 0'00004,06265,e'} cos (4? + ft). 



nt = {- 0-19057, 02812,e'} sin ^ 



+ {0-01021,13626,0 + 0'02348,38286,/- 0'03435,26286e' 2 } sin 2f 



+ {0'04396,36669,5e / } sin (2f - ^') 

 + {-0'00624,23804,le'}sin(2f+< / ) 



+ {0-00004,23730,4 + 0'00019,38852,5/- 0'00050,76714,e /2 } sin 4 

 + {0'00036,27788,6e'} sin (4f - ^') 



+ {-0-00005,20361,2e'}sin(4f+^>')- 



[19 Sep. 1863. 



