FUNDAMENTAL EQUATIONS. 



FINAI, EQUATIONS FOR VENUS I. 



Santiago Equatorial. 



47.710 X 74. 402 y + 380. 398 z + 60.450 t + 124.493u + 243.687 v + 272.519 \v 138.99 = 



- 74. 402 x + 950. 347 y 140.582 z 390. 393 t 908.597 w 123. 942 v 51.518 w 1004.41 =0 



380. 398 x 140. 582 y + 788. 860 z + 133. 072 1 + 251. 694 u + 267.689 v + 361.892 w 192.10 = 



60. 450 x 390. 393 y + 133. 072 z -f 233. HOt + 572.369 w -f- 59.014 v + 44.349 \v + 331.68 =0 



124. 493 x 908. 597 y + 251. 694 z + 572. 369 t + 1452.215W + 108.546 v + 92.717w+ 737.43 =0 



243. 687 x 123. 942 y + 267. 689 z + 59.014t + 108.546 u + 1155.576 v + 295.185 w 521.47 =0 



272.519* 51.518y + 361.892Z + 44.349 t -f- 92.717ii + 295.185 v + 320.140 w 165.46 =0 



[nn] = 2219.21 



13.480 t + 24.601 11 14.176 = 

 24.601 1 + 44.923 u. 25.824 = 



[nn] = 15.725 



41.680 t+ 94.203w-20.099 =0 

 94.203 t + 224.107 n 42.479 = 



[nn] = 20.654 



Santiago Meridian. 



70. 000 x 9.090y + 89.606 z + 4.000t + 9.127 u + 33.092 w + 218.200 = 



9.090 x + 224. 002 y 22.218 z 111 .434 t 259.728 w + 17.679 w 341.171 =0 



89.606x 22.218y + 179.593 z + 7.351 t + 10.490 n -f- 34.705 w + 327.173 =0 



4.000 x 111.434 y + 7.351 z + 70.000 t + 183.073 u 10.780 w + 169.480 = 



9.127x 259. 728 y + 10. 490 z + 183.073 t + 503,095 u 27.890 w + 391.085 = 



33.092X+ 17.679 y+ 34. 705 z 10. 780 t 27.890 u + 19.258 w + 73.701 =0 



[nn] = 1425.070 



35.0001+ 92. 619 n + 18.125 =0 

 92.619 t + 260. 040 u + 47.560 =0 



[nn] = 18.513 



Washington Equatorial. 



51. 700 x 57.540y+ 84. 566 z 94. 753 w 73.58 =0 



57.540 x + 211.264 y 135.640 z + 94.506 w 117.64 = 

 84.506 x 135.640 y + 173.963 z 142.839 w 77.93 = 



94.573 x + 94.506 y 142.839 z + 177.887 w + 145.10 = 



[nn] = 829.18 



39.910 1+ 95. 671 u 45,889 =0, 

 95.671 t + 233.684 w 105.478 = 



[nn] = 87.586 



Greenwich Meridian. 



17.000X+ 8.781 y + 32.410 z + 9.000 t 38.509 w + 39.92 =0 



8.781X + 81. 024 y + 18.684 z -f. 5.797 t 16.205 w 101.30 =0 



32. 410 x + 18.684 y + 91. 178 z + 8.002 t 59.682 w + 23.00 =0 



9.000x + 5.797y+ 8.002 z + 15.000 t 23.624 w + 32.48 =0 



38.509 x 16.205 y 59.682 z 23.624 t + 94.306 w - 122.40 = 



[nn] = 435.60 



Altona Meridian. 



2.000x-f 4. 564 y + 4.174 z 3.974 w 2.500 =0 



4.564 x + 10.434 y + 9.561 z 9.058 w 5.935 = 



4.174X+ 9. 561 y + 8.777 z 8.273 w 5.637 =0 



3.974x 9.058y 8.273 z + 7.905w + 4.833 = 



[nn] = 5.77 

 Z 10 



