and Indian Arcs, and the Figure of the Earth. 147 



or 



(17679784) + (2-1048957)^- (1-3862795) V, 



+ 1-9558801) ft)=0, 

 -(1-3228414)- (1-3862795)U, + (0-8243146) V x 



+ (1-1200966) (O=0. 



Eliminating Vj by multiplying crosswise by its coefficient and 

 adding, 



(2-5922930) -f (2-9292103) \Uj + (0- 7801 947) 1(^ = 0, 



- (2-7091209) - (2-7725590) J + (2-5063761) J 

 or 



391-10 + 849-59"! tJ, + 6-031 ft) 

 -511-82-592-32 J + 320-90 J 



-120-72 + 257-27U, + 326-93ft) =0, 

 or 



- (2-0817792) + (2-4103891)U 1 + (2-5144548) ft) = ; 



.-. U 1= (1-6713901)- (0-1040657) ft). 



From the first of the equations in V { we have 



V, = (0-3816989) +(0-7186162)U 1 + (2-5696006)(O 



= (0-38 16989) - (0-8226819) 1 ft) = 2-4082 - 6-6479 \ ft) 

 + (0-3900063) + (2-5696006) J + 2-4547 + 0-037.1 J 

 =4-8629-6-6108(0 = (0-6868953) - (0-8202540) ft) . 



Hence, by the formula? of my last paper, 



^4^= 20890000- 2089 U x ; 2089 = (3-3199384) ; 



= 20890000 -(2-9913285) + (3-4240041) ft) 



= 20890000-980-2 +2654-6ft)=20889020 + 2654'6ft) 



= (7-3199180) + (3-4240041) ft), 



a-h__ 1 f« 1 + 5 1179Q0Y y 4178= (3-6209684) 

 ~2^~600i 2 + 4i '» uuv i/> 600= (2-7781513)^ 

 1 f (7-3199180) + (3-4240041) \ ft) \ 

 - 600 L + (6-3078637) - (6-4412224) J J 

 = (4-5417667) + (0-6458528) \ ft) 

 + (3-5297124) - (3-6630711) J 



= 34815 + 4-4 "1ft) =38201— 4599(f); 

 3386-4603-3J 

 .-. A 1 = 20927221-1914ft), 



^ = 20850819 + 7254ft). 



L 2 



