Bfioa 



1.08 MEASUREMENT OF AN ARC 



o < a 



According to tbis table the degree in latitude 16 34 44 is 60509.12 

 and the mean degree for latitude 16 34 42 as deduced from the arc 

 between Namthabad and Daumergidda is 60512.78 fathoms, which ex- 

 ceeds the computed one only 3.66 fathoms. It may however be ne- 

 ceffary to examine what compreirion wilt be brought out by ufuig. 



£0472.83 for X, for 



(2) (I) 



X — X 4.0&2225 



OBMnBran 



r (1) (2) (.1; 



3X (Sin.» i — Sin.'- /) 3 X 60472.83 X ,006014 268.3' 



neatly, which differs confiderably from that given by the generalmeam , 

 iFVwe fiippofe • — - to be the true compreffion, let it be determtn^- 



304 



cd what the value of X ought to bo to laring it out, aad by that: 

 u cans deted the errors of the obferved degrees Xj^ and that in. iS 34 43j, 



(S) 



which lafl may be compared with X. — P,ut ^ = 544433.21, <3 =3.- 



(2) (I) (?) (\) (9) 



(Siriw^«f — Sin.* /) =&, 006014,^ = (Sin/ l^ Sin.* /) + . : . . (Sia.^ / •^-- 

 (H ■,• .; ■ ■ ■ ii)- 



f1) (.i — «X) . a / (2) (1) J 



Sini • /j ^^ 4263 3 3.7^, Then lijice £/.:;;=:; ■ -..-, • — ^ -. = X .— X ; - 



(I) 



3 .X (a) J 

 *-- --y ■ {^)- ... 



'^— « X i . . . ^') 304 . ^ 



,-:^ ...,,_,=,^ — . r=_ «-— «-^ from which i§ obtajaed X 2= «--~---r--»=«----~ =^^ 

 (I) 



3 6 X 304 3 6 + 304 . n 



(A -^ n X) ..,006014 d 



^04754 3 whence d .— =— — . =^ 3.589.1 3 , and Qj=s. - -- 



,2(53137 ,006014 



=r 596^.79. From thefe, the follQwing table has been computed, from 

 which it appears that the first degree by meafurement is 2, 3 fathom3^ 



IB defe6lj and ^te injatitude t6 34 '42 is 5.59 fathoms in excefs, botl| 

 quantities, too fmall to aflPei^t the elliptic hypothefis j the greateft hein.^ 

 lefs than ;|. of a fecond oathe earth's furface«. 



