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 = + 0".Y450 

 for the Santiago meridian-circle, t = 0". 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".534 

 and the fundamental equations are 



FUNDAMENTAL EQUATIONS FOR VENUS II. 



Santiago Equatorial .... 71.300X + 59.197y-f- 94.582Z -f 14.083 V + 112.469 w + 250.254 =0 



Santiago Meridian .... 46.900X + 21.787y+ 45.944 z -f- 92.501 w + 158. 404 =0 



Washington Equatorial . . . 13.560 x + 11.736 y + 23.555 z 14.341 w + 10.89 =0 



Greenwich Meridian .... 17.000x + 10.176y + 16. 798 z 7.000t 26.922 w + 41.51 =0 



Cracow Meridian 16. 000 x 19.343 y -f- 18.034 z 17.661 w -f 12.800 =0 



Santiago Equatorial .... 59.197 x + 236.451 y + 142.054 z +135. 098 v + 83.492 w + 608.376 = 



Santiago Meridian .... 21.787 x + 114.854 y + 49. 873 z + 38.404 w + 330.217 = 



Washington Equatorial . . . 11.736x + 58. 890 y 15.577 z + 9.803w + 91.95 =0 



Greenwich Meridian .... 10.1761+ 41.987y-f- 25.943 z + 11.168 1 13.274 w + 106.32 =0 



Cracow Meridian 19.343x1+ 45. 152 y 24. 516 z + 17.973W+ 52.463 =0 



Santiago Equatorial .... 94.582 x + 142.054 y + 191.935 z + 39.172 v + 13-2.967 w + 431.254 =0 



Santiago Meridian .... 45.944 x + 49.873y+ 85. 807 z + 77.707 w + 171.839 =0 



Washington Equatorial . . . 23.555 x 15.577y+ 42.367 z 24.950 w + 30.18 =0 



Greenwich Meridian . . . . 16.798 x + 25.943 y+ 40.888 z+ 4.712t 19.179 IP + 73.27 =0 



Cracow Meridian 18.034 x 24.516 y + 23.921 z 18-502 w+ 6.448 =0 



Greenwich Meridian . ... 7.000 1 + 11.168y+ 4. 712 z + 17.000 1 + 13.696W+ 13.19 =0 



Santiago Equatorial .... 14. 083 x + 135.098 y + 39. 173 z +238. 069 v+ 21. 378 w 5.686 =0 



Santiago Equatorial .... 112. 469 x+ 83.492 y + 132.967 z + 21.378 v + 181.379 w + 385.119 =0 



Santiago Meridian .... 92.561X+ 38.404 y+ 77. 707 z + 192.248 w + 329.959 =0 



Washington Equatorial . . . 14.341 x + 9.803y 24.950 z + 15. 362 w 16.66 =0 



Greenwich Meridian .... 26. 922 x 13.274 y 19.179 z + 13.696 t + 45.186 w 60.48 =0 



Cracow Meridian 17.661 x + 17. 973 y 18.502 z + 20. 332 w- 24.859 =0 



Santiago Equatorial .... [tin] = 2146.084 



Santiago Meridian .... [nn] = 1483.29 



Washington Equatorial . . [nn] = 221.76 



Greenwich Meridian . . . [nn] = 313.30 



Cracow Meridian .... [nn] = 393 62 



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 = + 0".5T. 



