FUNDAMENTAL EQUATIONS. 

 FINAL EQUATIONS FOR VENUS II. 



Santiago Equatorial. 



71.3001+ 59.197 y -f 94.582Z + 6.820 t + 21.753 w + 14.083 V + 112.469 W + 245.10 c 

 59. 197 X + 236.451 y + 142.054 z 2.387t 7.595 w + 135.098 V + 83.492 W + 610.18 =0 

 94. 582 x + 142.054 y + 191. 935 z + 0.349 t + 1.10911 + 39.172 V -j- 132.967 w + 430.99 =0 

 6.820X 2.387 y + 0.349Z + 6.820 t + 21.753 M 4.182V + 13. 124 w 10.84 =0 

 S1.753X 7.595 y + 1.109 z + 21.753 t + 69.405 tt 13.217 V + 41.859W 34.44 =0 

 14.083 x + 135.098 y + 39.172 z 4.182 t 13.917 + 238.069 v + 21.378 w + 276.40 =0 

 112.469* + 83.492 y + 132.987 z + 13.124 t + 41. 859 M + 21.378 v + 181.739 w + 375.20 =0 



[mi] = 2168.629 



64. 700 t + 149. 230 a 48.898 =0 

 149. 230 t -f 355. 388 It 102.911 =0 



[nn] = 110.211 



25.9601+ 71. 843 u 25.463 =0 



71. 843 t + 202.954 u 71.887 =0 



[nn] =30.827 



Santiago Meridian. 



46.000X + 21.787 y + 45.944 z + 34.000 t + 95.362U+ 92.561 w + 171.60 =0 

 SI. 787 X + 114.854 y + 49. 873 z + 42.029t+ 95.486M+ 38.404 w + 346.53 =0 

 45.944X+ 49.873 y + 85. 807 z + 30.689t+ 71.311H+ 77.707 w + 183.75 =0 

 34.0001+ 42.029 y + 30.689 z + 46.000 t + 121.434 u + 71.449 w + 224.00 =0 

 95. 362 X + 95.486 y + 71. 311 z + 121. 434 t + 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 =0 



[nn] = 1650.24 



45. 000 t + 116. 343 n + 12.905 =0 

 116.343 t + 312.751 u + 45.095 = 

 [nn] = 41.957 



Washington Equatorial. 



13.560 z 11. 736 y + 23. 555 z 14.341 w + 10.89 = 



11. 736 x + 58. 890 y 15.577 z + 9. 803 w + 91. 95 =0 

 23.555 X 15.577 y + 42.367 z - 24. 950 w + 30.18 = 



14.341X+ 9. 803 y 24. 950 z + 15. 362 w 16.66 =0 



[nn] = 221.76 



18.200 t + 37.113 u 28.813 = 

 37. 113t + 76.065U 60.112 =0 



[nn] = 51.802 



Greentvich Meridian. 



17.000 X + 10. 176 y + 16. 798 z 7.000 t 26.922 w + 41.51 , 



10.1761 + 41. 987 y + 25.943 z + 11. 168 t 13.274 w + 106.32 = 



16.7981 + 25. 943 y + 40.888 z + 4.712 t - 19.179 w + 73.27 =0 



^ 7.000 X + 11. 168 y + 4.712 z + 17.000 t + 13.696 w + 13.19 =0 



86. 922 X 13.274 y 19. 179 z + 13.696 t + 45.186 w 60.48 =0 



[nn] - = 313.30 



* 



Cracow Meridian. 



16.000 X 19. 343 y + 18. 034 z 17.661 w + 12.800 = 



19.343X + 45.152y 24.516z + 17.973-w + 52.463 = 

 18.034 x 24.516 y + 23.921 z 18.502 w + 6.448 = 



17.661 x + 17.973 y 18.502 z + 20.332 w 24.859 =0 



[nn] = 393.62 



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 



