FUNDAMENTAL EQUATIONS. 



FINAI/ EQUATIONS FOR VBIffUS I. 



Santiago Equatorial. 



47.710 X 74.402 y + 380.398 z 4. 60. 450 14. 124.493 M 4- 243.687 v 4. 272.519 w 138.99 =0 



- 74.402 x 4- 950.347 y 140.682 z 390.393 t 908.597 u 123.942 v 51.518 TV 1004.41 = 



380.3981 140. 582 y + 788.860 z + 133.0721 + 251.694 tt+ 267.689 V -f 361.892 TV 192.10 =0 



60.4501 390.393y + 133.072Z -f. 233.110t -f 572".369+ 59.014 V 4. 44.349W+ 331.68 =0 



124. 493 X 908. 597 y + 251. 694 z 4. 572. 369 t + 1452.215 ll -f. 108.546 y + 92.717TV + 737.43 =0 



243.687 X 123.942 y + 267.689 z 4. 59. 014 t 4. 108.546 u + 1155.576 V -j- 295.185 w 521.47 =0 



S72.519X 51 . 518 y 4- 361. 892 z 4- 44.349 t + 92. 717m 4. 295.185 v 4. 320.140 TV 165.46 =0 



[nn] = 2219.31 



13. 480 t + 24.601m 14.176 =0 

 24.601 1 + 44.923 u. 05.824 = 



[nn] = 15.725 



41.680 t + 94.203 m 20.099 =0 

 94.203 t + 224. 107 u 42.479 =0 



[nn] =20.654 



Santiago Meridian. 



70.000X 9.090y+ 89.606 z 4. 4.000t4- 9.127 m 4. 33.092 TV 4. 218.200 =0 



9.090 X 4- 224. 002 y 22.218 z 111 .434 t 259.728 ra 4- 17.679 TV 341.171 =0 



89. 606 x 22 218 y 4- 179.593 z 4. 7.351 t 4- 10.490 11 4. 34.705 TV 4. 327.173 =0 



4. 000 x 111. 434 y 4. 7. 351 z 4. 70.000 t 4. 183.073 m 10.780 TV 4. 169.480 =0 



9.127 x 259.728 y 4- 10.490 z 4- 183.073 t 4. 503.095 m 27.890 TV 4- 391.085 = 



33.092x4- 17.679 y 4. 34.705 z 10.780 1 27. 890 u 4- 19.258 w + 73.701 =0 



[nn] = 1425.070 



35.00014. 92.619m 4. 18.125 =0 

 92.619 t 4- 260.040 4. 47.560 =0 



[nn] =-. 18.513 



Washington Equatorial. 



51.700X 57.540y4- 84.506Z 94.753TV 73.58 =0 



57. 540 X 4- 211. 264 y 135.640 z 4- 94.506 TV 117.64 =0 

 84.506 x 135.640 y 4. 173.963 z 142.839 TV 77.93 = 



4. 573x4- 94.506 y 142. 839 z + 177. 887 TV 4. 145.10 =0 



[nn] = 829.18 



39.91014- 95.671m 45.889 =0, 

 95.671 t + B33.684 m 105.478 = 



[nn] = 87.586 



Greenwich Meridian. 



17.000x4- 8.781 y 4- 32.410 z 4- 9.000 t 38.509 TV 4- 39.92 =0 



8.781 X 4- 81.024 y 4. 18.684 Z 4- 5.797 t 16.205 TV 101.30 =0 



38.410 x 4. 18.684 y 4- 91. 178 z 4- 8.002 t 59.682 w + 23.00 =0 



9.000 x+ 5. 797 y 4- 8.002 z 4- 15.000 t 23.624 TV 4. 32.48 =0 



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



[nn] = 435.60 



Altona Meridian. 



2.000x4- 4. 564 y 4- 4.174 z 3.974 TV 2.500 =0 



4.564 x 4- 10.434 y 4. 9.561 z 9:058 TV 5.935 = 



4.174x4- 9.561 y 4- 8.777 z 8. 273 TV 5.637 =0 



3.974X 9.058y 8.273 z 4- 7. 905 TV 4. 4.833 = 



[nn] = 5.77 

 Z10 



