OF ARTS AND SCIENCES. 



157 



TABLE III. 



a Anrtrometlse . 

 y Pegasi . . . 

 a Arietis . . . 

 a Ceti .... 

 a Tauri . . . 

 a Aiirig*. . . 

 P Ononis . . . 

 )3 Taiui . . . 

 a Ononis . . . 

 a- Canis Majoris 

 a Canis Minoris 

 j8 Geminorum . 

 a Hytlrse . . . 

 a- Leonis . . . 

 ^ Leonis . . . 

 a Vivginis . . 

 a Bootis . . . 

 a2 Librte . . . 

 a Coronse . . . 

 a. Serpeutis . . 

 a Scorpii . . . 

 a Herciilis . . 

 a Opliiuclii . . 

 a Lyri« . . . 

 y Aquilte . . . 

 a AquiliB . . . 

 j3 Aquilne . . . 

 a- Capricorni . 

 a Cygni . . . 

 a Aquarii . . 

 a Piscis Australis 

 a Pegasi . . . . 



[V] 





— 10 



— 1 



+ 4 



— 4 



— 7 

 + 3 

 + 6 



+ 



+ 



4-14 

 + 7 

 + 2 



— 11 

 + 2 



— 12 

 1 



t 



— 9 



— 3 

 + 6 



— 19 



— 21 



— 11 

 + 5 

 + 7 



— 20 

 + 4 



— 3 

 + 6 

 -f-15 

 + 17 



— 1 



+ 115 

 — 132 



^2 



— 1 



— 5 



— 1 



— 22 



+ 2 

 + 7 

 + G 

 + 17 



+ 9 

 + 22 



— 12 



— 3 

 + 10 



— 3 



— 6 



— 4 

 + 6 

 + 13 

 + 5 

 + 10 



— 4 



— 4 

 + 15 



+ 1 



— 1 



— 10 



— 3 



+ 22 



— 2 

 + 8 



— 10 



— 13 



+ 143 

 — 104 



■a „ 



is 



— 4 



— 17 



— 10 



+ 24 



— 7 



— 22 



— 38 

 + 50 

 + 10 



— IG 



— 20 



— 7 

 + 4 



— 18 

 + 28 



— 4 



t ^ 



+ 22 



+ 19 

 + 12 



— 27 



— 5 



+ 

 + 30 



±12 



+ 1 



+ 39 



— 57 

 + 1S 

 + 35 



— 24 



-305 



-287 





— 11 



— 7 



— 7 

 + 2 



— 12 



— 34 



— 23 

 6 



t 



+ 11 



VI 



— 6 



— 2 

 7 

 9 



15 



7 



+ 9 







— 35 



— 4 

 + 

 + 9 

 + 1 



— 9 

 + 8 



— 7 



— 1 

 + 8 

 + 30 

 + 5 



+ 152 

 — 158 







— 3 



— 6 



+ 15 

 -- 6 

 -- 9 



— 29 



+ 7 



±1 

 + 23 



— 2 



— 5 

 + 4 



— 11 

 + 18 



— S 

 + 12 



— 15 

 + 12 



±lf 

 + 2 

 + 9 



— 11 

 + 18 



— 1 



+ 11 



— 16 



— 1 



— 17 



+ 1 

 + 7 



+ 159 

 -144 



+ 4 



— 17 



+ 22 



t5 



+ 24 



— 28 



— 13 

 + 5 



— 15 



— 5 

 + 9 



— 16 

 + 7 

 + 

 + 5 



— 3 

 + 7 



— 10 



— 10 



— 14 

 + 26 

 + 9 



— 14 



— 4 



— 26 

 + 15 

 + 40 



— 21 

 + 5 



— 11 



— 1 



+ 181 

 — 208 



— 30 

 + 9 



— 12 

 + 8 



— 3 



— 4 



— 11 



u 



— 1 



+ 8 

 + 19 

 + 3 



— 14 



— 13 

 + 



— 11 

 + 6 



— 3 

 21 



+ 1 

 1 

 9 



— 11 



— 3 

 + 4 



— 2 



— 1 

 + 8 

 + 2 



+ 137 

 — 119 



: be 



W 



+ 12 



— 30 

 + 4 

 + 4 



— 7 



— io 



— 33 



— 2 



'+2 



— 3 

 + 19 



— 19 



— 24 



— 1 



— 10 



21 



— "t 



— 22 



+ 3 

 + 39 



+ 11 



— 3 



— 12 



+ 56 



— 10 



— 8 



+ 150 

 — 219 



Wo 



+ 9 



— 19 

 + 16 



13 

 5 



22 

 4 

 + 7 



— 14 



— 's 



— 18 



— 5 

 10 



+ 19 

 37 

 2 

 12 

 13 

 10 

 + 22 

 + 11 

 + 1 



— 11 



— 2 

 + 19 

 + 20 



— ii 



— 17 



— 28 



— 19 



t 



+ 236 

 — 168 



The assignment of weights to observations is necessarily somewhat a matter 



of individual judgment. The following empirical formula, though not free from 



objection, will be adopted : — 



Let ^o' = the quotient obtained by dividing the square root of the number of 



years of observation for any observatory, by ^ 13. 



w"= the quotient obtained by dividing 10 [v v] for Greenwich by [v v] 



for any other observatory. 



Then the weight, w' + w" 



w = —^ • 



By this formula we have, after increasing the values for Edinburgh and 



Harvard College proportionately, — 



[vr] ?t''' lof w 



For Greenwich 2941 10.0 10.0 10 



Washington, I. ... 3168 9.3 8.3 9 



Wasliington, II. . . . 17172 1.7 2.0 2 



Paris 5490 5.4 8.3 7 



Melbourne 4331 6.8 7.2 7 



Brussels 7509 3.9 8.3 6 



Oxford 3418 8.6 9.2 9 



Edinburgh 13023 2.3 8.9 6 



Harvard College . . . 7834 3.8 1.0 2 



Assigning to the residuals in Table III. the weights iv, and taking the means, 

 •we have (omitting for the present the discussion of errors of double period) the 

 following system of corrections, as shown in Table IV. 



