-APPENBIX. 



m 



/cor as the- degree of -iQj^tude d iX 



Then / = 



*> "66858 (L003242) 



:•'•••'• i ; 210 



- v^os.* N 10<> .(1.003242)4 -|- Sin.* lOg. 



• ■ - 



G > 4 



le in 



le perpen- 



Suppose -7==i3 -55 ios which was the lat 

 dicular arc was measured in 1805* (Astatfck Researches , Volume 10. 



iflB' b .6,0858 ({'.003242)' 



'Then" £' = -= 



. * t/Cos.* (IS® 65' 10"). _(1.003242)* ? .-|- Sin>2,.(12®;5J^ IQf'J^. . 



'which exceeds the degree gl-veii by the measured arc by 221. fathomg,. 



The per 



jgree detea 



.-. , ■■<.,■ y - l; . g AQjlO 



znd^aniatighur, m i8oe» (see- Asiatick Rmarqhes^ Vojume 8,) was 61061 

 fathoms for latitude is s®- is, Now the' mean- feweem this, and t\\e 

 ''perpendicular decree, .measured Irs 280& for latitude- 1-% && no, will he. 



60909 fathoms, and the mean of the latitudes: will Be- t m. 48; 41 • which 

 latitude, being substituted in the "ab6ve> we shall have the value of 

 p=z6o868 j&^&mly* wWe&failS Wbfll vll alo^'Mekrti'%r''^Kdfll^s 



but how far this mean may be relied ©n, is yet a matter of uncertainty 

 for I never had much confidence in the accuracy of the perpendicular 

 arc measured in i8os 



9 From 



pendicular degree^', and the degree of longitude 'd, in any latitude 7, 

 be to each other as j===^===-== s ^==f===== 

 d are equal at the equator, Hence s p' : 



• Cos.*7(i + e)* + Sin. 1 '/ 



being known, d may be found. 



• : : /(l-fej 2 +■ tan. a 7 

 ; /T+T| . *.Cos.*7 + Sin.* 7 \f 



i + c "j s + tang.* 7 



) z whence p' 



10. The equatorial diameter of this ellipsoid, has already been shewn 



A 2 



