cclxviii 



FUNDAMENTAL EQUATIONS. 



data. All terms containing n being rejected, the additional equations for semi-diameter 

 furnish, after combination with those deduced from observations of Venus I, 



for the Santiago Equatorial, t = -f- 0&quot;.7450 

 for the Santiago meridian-circle, t = 0&quot;. 38812 



Substituting these values, we obtain a series of equation systems containing only x, y, z, W, 

 V, and the t for Greenwich. Omitting the latter term, summing the equations, and solving, 

 we obtain 



= + 0&quot;.534 

 and the fundamental equations are 



FUNDAMENTAL EQUATIONS FOR VENUS II. 



Santiago Equatorial . 

 Santiago Meridian 

 Washington Equatorial 

 Greenwich Meridian . 

 Cracow Meridian . 



71. 300 x + 59. 197 y 4. 94.582 z 



46.000x4- 21.787y+ 45. 944 z 



13.560x4- 11. 736 y 4- 23. 555 z 



17.000x 4- 10.176y+ 16.798Z 



16. 000 x 19. 343 y + 18.034 z 



-f. 14.083V + 112. 469 w + 250.254 = 



4- 92.561 w 4- 158.404 = 



14.341 w 4- 10.89 = 

 7.000t 26. 922 w 4- 41.51 =0 



17.661 w 4- 12.800 = 



Santiago Equatorial . 

 Santiago Meridian 

 Washington Equatorial 

 Greenwich Meridian . 

 Cracow Meridian . . 



Santiago Equatorial . 

 Santiago Meridian 

 Washington Equatorial 

 Greenwich Meridian . 

 Cracow Meridian . . 



Greenwich Meridian . 



Santiago Equatorial 



59.197 x 4- 236.451 y 4. 142.054 z 

 21. 787 x 4- 114. 854 y 4. 49. 873 z 



11.736 x 4- 58.890 y 15.577 z 



10. 176 x 4- 41. 987 y 4. 25.943 z + 11. 168 t 



19.343x4- 45. 152 y 24.516 z 



94. 582 x 4- 142. 054 y 4- 191. 935 z 



45.944x4- 49. 873 y 4- 85.807 z 



23. 555 x 15. 577 y 4- 42.367 z 



16.798x4- 25. 943 y 4- 40.888 z 4. 4.712t 



18. 034 x 24. 516 y 4- 23.921 z 



- 7.000x4- 11. 168 y 4- 4.712 z 4- 17.000 t 



14. 083 x 4- 135. 098 y 4- 39.172z 



4- 135.098V + 83. 492 w + 608.376 := 





 

 

 



4- 38. 404 w + 330.217 



4- 9.803-vv + 91.95 



13.274 w -f 106.32 



4. 17.973 w + 52.463 



+ 39.172 v + 132.967 \v -f 431.254 = 





 

 

 



+ 77.707 w + 171.839 



24.950 w + 30.18 



19.179W+ 73.27 



18-502 w+ 6.448 



13.696 w + 13.19 = 



+ 238. 069 v+ 21. 378 w 5.686 =0 



Santiago Equatorial . 

 Santiago Meridian 

 Washington Equatorial 

 Greenwich Meridian . 

 Cracow Meridian . 



112.469x4- 83. 492 y 4- 132. 967 z 



92.561x4- 38. 404 y 4- 77.707 z 



- 14.341 x 4- 9.803 y 24.950 z 

 -26.922X 13. 274 y 19.179 z 4. 13.696 t 



- 17.661 x 4- 17.973 y 18.502 z 



21.378V -f 181.379 w + 385.119 = 





 

 

 



Santiago Equatorial . 

 Santiago Meridian . 

 Washington Equatorial 

 Greenwich Meridian 

 Cracow Meridian 



[nn] 2146.084 

 [nn] = 1483.29 

 [nn] = 221.76 

 [nn] = 313.30 

 [nn] = 393 62 



+ 192. 248 w + 329.959 

 + 15. 362 w 16.66 

 + 45. 186 w 60.48 

 f 20. 332 w 24.859 



The values obtained for v in these four solutions are quite accordant, and, when combined 

 with one another with due regard to weights, give us the preliminary value 



V = -f 0&quot;.57. 



