402 
PROFESSOR G. H. DARWIN ON FIGURES OF 
The upper coefficients correspond to the case of (3 = \; the lower ones, printed in 
small type, to the case of /3 = -y. 
lu 
- 1 = -05902 + -00300 (/q- 
1) + -00033 (h s - 
1) + -00004 <7q 
- 1) + -00001 (h- 
-!) + ••• 
•13516 -01362 
•00201 
•00036 
•00007 
h 
- 1 = -10086 + -00522 
+ -00057 
+ -00008 
+ -00001 
+ ... 
•23385 -02412 
•00361 
"00065 
•00012 
h 
- 1 = -15529 + -00817 
+ -00091 
+ -00012 
+ -00002 
+ ... 
•36167 -03854 
•00586 
•001C8 
•00021 
K 
- 1 = -22321 + -01196 
+ -00134 
+ -00018 
+ -00003 
+ ... 
•53150 -05762 
•00891 
•00165 
•00033 
x. 
- 1 = -06400 + -00300 (\ 3 - 
1) + -00054 (Aj — 
1) -f- -00011 (\ 4 
- 1) + -00002 (X. 
-!) + ••• 
•15158 -01362 
■00335 
•00089 
•00023 
Xq 
- 1 = -06677 + -00313 
+ -00057 
+ -00011 
+ -00002 
•16114 -01447 
•00361 
•00098 
•00026 
\ 
- 1 = -06976 + -00327 
+ -00060 
+ -00012 
+ -00002 
•17174 -01542 
•00391 
•00108 
•00029 
- 1 = -07297 + -00342 
+ -00064 
+ -00013 
+ -00003 
+ ... 
•18352 -01646 
•00424 
•00118 
•00033 
H — 
1 = -01184 + -00010 0 3 
-1) + -00003 (/i 3 - 
i) + -ooooi (^ 4 - 
- 1) + -00Q00 o 5 
-1) + 
•02818 -00047 
•00022 
•00008 
•00003 
/u - 
1 = -01274 + -00010 
-f- "00004 
+ -00001 
+ -ooooo 
+ 
•03127 -00052 
■00024 
•00009 
•00003 
/u - 
1 = -01374 + -00011 
+ -00004 
+ -ooooi 
+ -ooooo 
+ 
•03478 -00057 
•0.0028 
•00011 
•00004 
/P - 
1 = -01482 + -00012 
+ -00004 
+ -ooooi 
+ -ooooo 
+ 
•03879 -00064 
•00032 
■00013 
•00004 
The solutions of these equations are obviously found by an easy approximation ; 
they are 
lu = 1-0593 
= 1-0642 
/xo = 1-0118 
1-1377 
1-1544 
1-0282 
h z = 1-1012 
X 3 = 1-0670 
*»= 1*0127 
1-2382 
1-1642 
1-0313 
J h = 1G559 
X 4 = 1-0700 
^=1-0137 
1-3719 
1-1750 
1-0348 
h, = U2241 
o 
X- = 1-0732 
o 
ft- = 1-0148 
1-5424 
1-1870 
1-0388 
the small figures corresponding, as before, to the case of /3 = }. 
