

FUNDAMENTAL EQUATIONS. 

 FINAL EQUATIONS FOR VENUS II. 



Santiago Equatorial. 



71.300X+ 59.!97y-f 94.582 z + 6.820 t + 21.753 u + 14.083 V + 112. 469 W + 245.10 =c 

 59.197 x + 23B. 451 y + 143.0541 2.387t 7.595 u + 135.098 V + S3. 492 w -f 610.18 =0 

 94. 582 X + 142.054 y + 191. 935 z + 0.3491 + 1.109U+ 39. 172 V + 132.967 w + 430.99 =0 

 6.820X 2.387 y + 0.349 z + 6.820 t + 21.753 a 4.182V+ 13.124W 10.84 =0 

 21.753X 7.595 y + 1.109 z + 21.753 t + 69.405 w 13.217 V + 41. 859 W 34.44 =0 

 14. 083 x + 135.098 y -f 39.172Z 4.182 t 13.317 11 + 238.069 V -f 21.378 W + 276.40 =0 

 112.469X + 83.492 y + 132. 967 z + 13. 124 t -f 41. 859 u + 21.378 V + 181.739 W -f. 375.20 =0 



[nn] i- 2168.629 



84.700 t + 149.230 a 48.898 = 

 149.230 t + 355.388 M 102.911 =0 



[nn] = 110.211 



25.9601+ 71.843tt 25.463 =0 



71.8431 + 202. 954 u 71.887 =0 



[nn] =30.827 



Santiago Meridian. 



46.000 x + 21.787 y + 45.944 z + 34.000 t + 95. 362 u -f 92.561 w + 171.60 = 

 31. 787 x -f 114.854 y + 49.873 z -f 42.0291+ 95.486 tt + 38.404 w + 346.53 =0 

 45.944X+ 49.873 y + 85.807 z + 30.6891+ 71.311+ 77.707 w + 183.75 =0 

 34.000X+ 42.029 y + 30. 689 z + 46.000 t + 121.434 u + 71.449 ff + 224.00 =0 

 95. 362 x + 95.485 y + 71. 311 z + 121.4341 + 333. 002 u + 205. 774 w + 603.21 = 

 92.561 x + 38.404 y + 77.707 z + 71.449 t + 205.774 tt + 192.248 w + 357.69 = 



[nn] = 1650.24 



45.0001 + 116. 343 n + 12.905 = 

 116.343 t + 312.751 n + 45.095 = 

 [nn] = 41.957 



Washington Equatorial. 



13.560 x 11. 736 y + 23. 555 z 14.341 w + 10.88 = 



11. 736 x + 58. 890 y 15. 577 z + 9.803 w + 91.95 =0 

 B3.555 X 15,577 y + 42.367 z 24.950 w + 30.18 =0 



14.341 x + 9.803 y 24.950 z + 15.362 w 16.66 = 



[nn] =221.76 



18.2001 + 37. 113 u 28.813 =0 

 37.1131 + 76.065 60.112 =0 



[nn] = 5l.80i 



Greenmch Meridian. 



17. 000 X + 10. 176 y + 16. 798 z 7.000 t 26.922 w + 41.51 =0 



10.176X + 41.987y + 25.943Z + 11.1681 13.274 w + 106.32 = 



16. 798 X + 25. 943 y + 40.888 z + 4.712 t 19.179 w + 73.27 =0 



7.000X + 11.168y + 4. 712 z + 17.0001 + 13.696 w + 13.19 =0 



26.922 x 13.274 y 19.179 z + 13.696 t + 45.186 w 60.48 = 



[nn] = 313.30 



Cracow Meridian. 



16.000 x 19.343 y + 18.034 z 17.661 w + 12.800 = 



19. 343 X + 45. 152 y 24.516 z + 17. 973 w + 52.463 = 

 18. 034 X 24. 516 y + 23.921 z 18. 502 w + 6.448 =0 



17.661 x + 17.973 y 18.502 z + 20.332 w 24.859 = 



[nn) = 393.63 



This series comprises five systems, of which the one derived from Cracow observations was 

 disqualified for criticism or examination in consequence of the entire absence of the needful 





