Local Attraction on Geodetic Operations, 



267 



ellipse of the particular arc under consideration. I shall begin with the 

 Anglo-Gallic arc. Proceeding precisely as in paragraph 8, we have 



(2-0752575)4- (2-1905197)U,-(l-5506429)V, + (l-4873505)T,=0, 

 (2-9341091) + (2-5805290)U,-(2-1951856)V,+ (2-6515733)T,=0, 



(4-2704431) + (4-3857053)U, + (3-6825361)T, 

 -(4-4847520)-(4-1311719)U,-(4-2022162)T,=0, 



18640 + 24306 4814 T, 

 -30532- 13526 U,- 15930 T, 

 -11892+ 10780 U,- 11 116 T,=0, 

 or 



-(4-0752549) + (4-0326188)U,-(4'0459485)T,=0; 



... U, = (0-0426361) + (0-0133297)T,, 2089 = (3-3199384), 

 2089U,= (3-3625745) + (3-3332681)T,=2304-5 + 2154-H\. 



By the first of the equations in V^, we have 



V,=:(0-5246146) + (0-6398768)U, + (T-9367076)Ti 

 =(0'5246146) + (T-9367076)T, 



+ (0-6825129) + (0-6532065)T„ 417800 = (5-6209684) ; 

 .•.417800V,=(6-1455830) + (6-3034813) + {(5-5576760) + (6-2741749)}Ti 

 = 1398244 + 201 1320+ {361 140 + 1880074}Ti 

 =3409564 + 2241214T,; 



?L+li =20887695-2154-1 



^^^ = g^{24297259 + 2239060TJ=40495 + 3731-8T,; 

 a,=20928190 + 15777T„ 5^=20847200-5885-9 T,, 



1 1 . I proceed to the second, the Russian arc. 

 (2-5869948) + (2-5257337)U,-(2-0497688)V, + (l-736343])T,= 0, 

 (2-9188361) + (2-8042007)U,-(2-2548066)V,+ (2-2115282)T,= 0, 



(4-8418014) +(4-7805403)U2 + (3-9911497)T, 

 -(4-9686049)-(4-8539695)U2-(4-2612970)T,= 0, 



69471 +60331 U2+ 9798 

 -93026-71445 U,-18251 T, 

 -23555-11114 U^- 8453X^=0, 



or 



-(4-3720831)-(4-0458704) U2-(3-9270109)T,= ; 



... U,= -(0-3262127)-(l-8811405)T„ 2089=(3-3199384), 

 2089 U2=-(3-646151l)-(3-2010789)T,= -4427-4-1588-8T,. 



