1 72 T II K 11 B 1 T O F U 11 A ^■ U S. 



Giving these nineteen equations equal Aveights, we have the second of the 

 following solutions, and the* second of the series of residuals the first corres- 

 ponding to the primitive solution. Solving them again and assigning the weights 

 attached to the respective equations, which I judge to be tnose to which they 

 are entitled when a liberal allowance is made for systematic errors of observa- 

 tion and of comparison of theory with observations, adding also the equations 

 given by the observations of Flamstead and Le Monnier, which are as follows: 



1690 O.Obh'—O.lhhi'—O.n^e +O.Oe5'7t +0.16y == — 0".5; /, ^\;^Yt, 1 

 1715 0.1 —1.1 0.0 —0.2 +0.1 =—0.5 ^^ 1 



1769 0.2 —1.2 —0.3 -fO.2 +0.2 =+2.2 i 1 



we have the second solution, and the third series of residuals. 



(1) (2) (3) 



6\ — 0".39 —0.21 



h^h —0.38 —0.19 



b-e —0.33 —0.15 



eS^Tt +0.25 +0.19 



5y —1 .02 —0.49 



"• I^GTO T9'SY'5 19757 



Residuals. 

 Year. AjZ A.i AJ 



II U II 



1691.0 —10. —14. —12. 



1715.2 —10. — 9. — 7. 



1751.1 + 3.7 + 0.5 + 2.0 

 1769.0 _ _ 1.0 — 2.6 — 1.9 



1783.3 . — 0.18 — 0.30 — 0.17 

 1790.0 + 0.62 + 0.93 + 0.89 

 1795.0 — 0.55 — 0.09 — 0.18 

 1802.0 — 1.25 — 0.78 — 0.87 

 1806.5 — 1.00 — 0.69 — 0.73 

 1810.5 — 0.37 — 0.10 — 0.05 

 1814.5 — 0.37 — 0.26 — 0.28 

 1819.5 — 0.37 — 0.34 — 0.37 

 1824.8 + 1.50 + 1.46 + 1.41 



1829.7 + 0.91 + 0.90 + 0.81 



1835.2 — 0.27 — 0.43 — 0.46 



1839.8 — 0.17 — 0.56 — 0.48 



1844.8 + 0.14 — 0.31 — 0.18 



1849.9 — 0.21 — 0.70 — 0.52 

 1854.9 — 0.14 — 0.54 — 0.36 

 1860.0 — 0.13 — 0.23 — 0.14 

 1865.0 + 0.36 + 0.70 + 0.62 

 1870.0 _ 0.21 + 0.80 + 0.44 



