cclxiv 



FUNDAMENTAL EQUATIONS. 



Not substituting these values, but retaining the terms containing them for the sake of a value 

 of V to be deduced from the totality of the Santiago Equatorial observations, and in hopes of 

 arriving at some safer values of tj and t 2 , we have, as our fundamental equations 



t<,itili;i'_Mi liqnalorial . . . 



S;'.tui:iL'!i Meridian . . . 



^:uiti:ii:'> Mendiali ' u .-uppl.) . 



U'.isliiniMim Equatorial . . 

 Cape of Good Hope Meridian 



(ir neieli Meridian . . 



KteniMMiiu.-ter Meridian . . 



l>'iii,<l<un<'itti.il J'Jij/talti.iiix/or liars II. 



382.780% 10. 810 y +282. 426 z 39.1901, + 43.49G v +428. 443 w +282.85 =0 



= 



79.000% + 8.531 y + 50.052 z + 5.000 t, 



27. 000 x 3.68-1 y + 19.715 z 1 000 t, 



12. 380 T 0.063y + O.S43Z 



46. 000 T 6.618 y + 16.550 z 



36. 000 X +29. 646 y + 37. (68 z 



13.000X +14.I04y + 10.118Z 



+ 90. 340 w 3.720 



+ 30.768\v + 11.200 =0 



5.22G w + 17.20 =0 

 + 55. 192 w + 29.180 =0 



21. 216 w 83.70 =0 

 + 6.638w 32.500 =0 



Santiago Equatorial 

 Santiago MeridiaTi . 



Washington Equatorial . . 

 Cape of Good Hope Meridian 

 Greenwich Meridian . 

 KrcmsmiinMer Meridian . . 



10.810% +706.048y 17.993Z +73.7721, +66.929v 30.833iv 2522.29 



= 

 = 

 = 

 = 

 = 

 = 



8.531% +125.129y + 15.168 z +22.8391, 



- 3.648% +49.286y + O.llSz + 8.3461, 



- O.OC3X + 0.603 y 0.043Z 



- 6.618% +41. 365 y -- 11.743 z 

 29.646% +92. 658 y + 55.541 z 

 14.104% +25. 300 y + 18.096 z 



+ 4.0371V 516.879 



5.9491V 170.945 

 + 0.0991V 0.39 



8.3991V 156.136 



13.3671V 309.97 

 + 6.448W 69.529 



Santiago Equatorial . . . 

 Saiitiai'M Meridian .... 

 Santiago Meridian (suppl.) . 

 Washington Equatorial . . 

 Cape of Good Hope Meridian 

 Greenwich Meridian . . . 

 Krenisniiui-ter Meridian . . 



282.426% 17. 993 y +351. 303 z 55.7801' + 76.210V +294. 189 w 6. OS =0 



50. 052 x +15. 168 y + 57.164 z 



19.715% + O.llSy + 25.951 z 



0.243X 0.043y + 0.008 z 



16.550% 9.743y + 12. 107 z 



37.068% +55. 541 y + 73.226 z 



10.118% +18. 096 y + 13. 944 z 



4.7861, 

 6.6691, 



+ 52. 975 w 50.617 =0 



+ 20.674 w 19.874 = 



0.108W + 0.37 =0 

 + 19. 024 w + 27.336 =0 



19. 344 w 217.38 =0 

 + 4.635W 53.038 =0 



Santiago Equatorial . . 

 Santiago Meridian . . . 

 Santiago Meridian (suppl.) 



39.190% +73.772y 55.780 z +39.1901, 0.161V 41. 534 w 256.00 =0 



5.000% +22.83!)y -. 4.786 z + 79.0001, + 6.160W 165.798 =0 



1.000% + 8.346y 6.689 z +27.0001, 0.424 w 26.800 =0 



Santiago Equatorial 



43.496% +66. 929 y + 76.240 z 0.1611, +798. 415 v + 38. 430 w +526.79 =0 



Santiago Equatorial . . . 

 Santiago Meridian .... 

 Santiago Meridian (suppl.) . 

 Washington Equatorial . . 

 Cape of Good Hope Meridian 

 Greemvieh Meridian . . . 

 KreDumllnBter tteridlttD . . 



8.443% -30. 833 y +294. 189 z 41.5341, + 38.430V +483. 588 w +423.46 =0 



+ 104. 174 w + 21.056 =0 



+ 35. 383 w + 21.904 =0 



+ 2.215 w 7.29 =0 



+ 66. 398 w + 38.773 =0 



+ 12. 809 w + 32.05 =0 



+ 3.447W + 14.028 =0 



90.3W% + 4.037y + 52. 975 z + 6.1601, 



30.768% 5.949y + 20.674 z 0.4241, 



. 5.226% + 0.0'Jlly -- O.lOSz 



55.192% 8.399y + 19.024 z 



21.216% 13.367 y 19.344 z 



6.638% + 6.448y + 4.635Z 



Santiago Equatorial [] ~ 10250.67 



Santiago Meridian [ 7m j ^ 2675.76 



Santiago Meridian (suppl.) [mi] = 793.90 



Washington Equatorial [mi] = 25.51 



Cape of Goml llupt: Meridian [tin] 632.69 



<Ji. eii'.vii-h Meridian [] = lJl.!li 



Kiemsinunsler Meridian [nnl =^ 303.59 



