FUNDAMENTAL EQUATIONS. 

 FINAL EQUATIONS FOR VENUS II. 



Santiago Equatorial. 



71.300X + 59.197 y + 94.582z-f 6.820 t + 21.753 u + 14.083 v + 112.469 w + 245.10 =0 

 59. 197 x + 236.451 y -f 142.054 z 2.387t 7.595 u + 135.098 v -f- 83.492 w + 610.18 =0 

 94. 582 x + 142.054 y + 191. 935 z + 0.349 t + 1.109u+ 39.172 v + 132.967 w + 430.99 =0 

 6.820x 2.387 y + 0.349 z + 6.820 t + 21.753 u 4.182v+ 13.124w- 10.84 =0 

 21.753x 7.595 y + 1.109 z -f 21.753 t + 69.405 ti 13.217 v + 41.859\v 34.44 =0 

 14. 083 x + 135.098 y + 39.172z 4.182 t 13.217 + 238.069 v + 21.378 w + 276.40 =0 

 112.469X + 83.492 y + 132. 967 z + 13. 124 t + 41.859U + 21.378 v -f. 181.739 W + 375.20 =0 



[?m] = 2168.629 



64. 700 t + 149. 230 u 48.898 = 

 149. 230 t + 355.388W 102.911 =0 



[nn] 110.211 



25.960t+ 71.843U 25.463 =0 



71. 843 t + 202.954u 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 

 21. 787 x + 114.854 y + 49. 873 z + 42.029t+ 95. 486 11+ 38.404 w + 346.53 =0 

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

 34.000x+ 42.029 y -f 30. 689 z -f 46.000 t + 121.434 11 + 71.449 w + 224.00 =0 

 95. 362 x + 95.486 y -f 71.311 z + 121. 434 t + 333. 002 11 -f 205.774 w -f 603.21 = 

 92.561 x + 38.404 y -f 77. 707 z + 71.449 t + 205. 774 u. + 192.248 w + 357.69 = 



[nn] = 1650.24 



45. 000 t + 116.34311 + 12.905 = 

 116. 343 t -f. 312.75111 + 45.095 =0 

 [nn] = 41.957 



Washington Equatorial. 



13.560 x 11.736 y + 23.555 z 14.341 w + 10.89 = 



11. 736 x -f- 58. 890 y 15.577 z + 9.803w + 91.95 = 

 B3.555X 15,577 y + 42.367 z 24. 950 w + 30.18 = 



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



[nn] = 221.76 



18.200 t + 37.113 u 28.813 = 

 37. 113 t -f 76.065W 60.112 =0 



[nn] = 51.802 



Greenwich Meridian. 



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



10. 176 x + 41. 987 y + 25.943 z + 11. 168 t 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 + Il.l68y -f- 4. 712 z + 17.000 t + 13.696 w + 13.19 =0 



26. 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. 343 x + 45.152 y 24.516 z -f 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 



[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 



