where 



POOR, THE FIGURE OF THE SUN 



1 



x=p cos C 

 y= — p sin C 

 n=P-E. 



417 



If, now, we write 



a=cos /it 

 b=sin /it 



the equation of condition becomes finally 



ax + by + z=n. 



The yearly values of the quantity P.-E. are taken from the results of 

 Auwers and Ambronn as given in the previous tables. The values of the 

 coefficients a and b can be readily computed for each year from the corre- 

 sponding value of fi. The resulting equations of condition are given in 

 the following table: 



Table XIII. 



Date. 



Observer. 



1873, October 



1874, March 



1875, January 



1880, June 



1881, October 



1882, July . 



1883, June . 

 1885, January 



1890, July . 



1891, July . 



1892, January 



1893, July . 



1894, July . 



1895, July . 



1896, July . 



1897, July . 



1898, July . 



1899, July . 



1900, July . 



1901, July . 



1902, July . 



Auwers 



Auwers 



Auwers 



Auwers 



Auwers 



Auwers 



Auwers 



Auwers 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



Ambronn 



—0.7 

 —0.5 

 —0.1 

 + 0.1 

 —0.5 

 —0.8 

 —1.0 

 —0.6 

 + 0.7 

 + 0.2 

 —0.3 

 —0.8 

 —1.0 

 —0.9 

 —0.5 

 

 + 0.5 

 + 0.9 

 + 1.0 

 + 0.8 

 + 0.3 



—0.7 

 —0.8 

 —1.0 

 + 1.0 

 +0.8 

 + 0.6 

 

 —0.8 

 + 0.7 

 + 1.0 

 + 0.9 

 + 0.6 

 + 0.1 

 —0.4 

 —0.9 

 —1.0 

 —0.8 

 —0.4 

 + 0.1 

 + 0.7 

 + 1.0 



— 0".06 

 + 0".10 

 + 0".21 

 + 0".10 

 + 0".ll 

 + 0".05 

 — 0".15 

 — 0".17 

 + 0".12 

 + 0".08 

 0".00 

 — 0".06 

 + 0".02 

 + 0".04 

 — 0".03 

 — 0".01 

 + 0".09 

 + 0".01 

 + 0".02 

 + 0".06 

 — 0".06 



Three least square solutions were made, the first including the Auwers 

 series 1873-85; the second, the Ambronn series, 1890-1902, and the third, 



