ON THE Iv^ERIDIAN, ■ U 



X = X + o 



X = X 4- TM . Sill, 2 (L 4> 0) 



(3) r^) 



X z= X 4- OT . Sin. 2 <L + 1) 



(4^ (3) 

 X = X + m . Sim. 2 (L + 2) 



(S) (4) o 



X c= X + JK . Sin. 2 (L + 3) .%r;- 



(r?) (rt— 1) o 



't© X = X ^ ja . Sin, 2 (L -j- (« ~ 2) ) 



Then in order to get the value oF m; Let A ±=2 ?44433,alrj 



« . .. . (i) '* (I) 



n z^ g; L r= 9 34 -44; X =:=: 60472383. — Then A — 9 K ^^lyj y^^. 



the numerator. 



« iC 



But n — 1 Sin, 2 (L + 0) ±= 8 . Sin. (19 9 28) ., .,»....,co.. 2.62536iS 



n — 2 Sin. 2 (L + 1) — 7 . Sid. (21 9 23) , . . . . ^.S^OSQl'S 



« — 3 Sill. 2 (L + 2) = 6 . Si'n, (23 9 28) . 2.3595870 



n ~ 4 Sin. 2 (L + 3) — 5 . Sin. (25 9 28) . . . c. .. .o . o.. 2.1255625 



n — 5 Sill. 2 (L + 4) =- 4 . Siu. (27 9 28) w...o. ...... 1.825769S 



f — 

 ,n — & Sin. --2 (L ^r 5) ■= 3 . Sin. (29 9 28) . ,„., .... .... ,.-, 1.4616489 



n — 7 Sin, 2 (L .{•- 6) = 2 .. Sin, (31 9 2S) 1.0347932 



n — 8 Sin. 2 (L + 7) — 1 • Sin. (33 9 28) ,•..,,; -, 0.54u9465 



i^ — • — ■■>. 



Sum — 14.503^23-13 

 177 74 



Henc-e — t.— 1. 2,2527 = m. 



14.5002343 



Hence if the aforefai-d value of m be fubflitiitcd in^the above, an(3 



multiplied by the fines of 19 9 28 ; 21 9 2ii; 23 9 28, &c, refpeiftiyely;, 

 we {hall have the degrees as follows :—» 



(!) _ o * « 



• X = 60472 83 fathoms, Tor LatituJ» .....,.»,.: 77 77. .77.7. 9 34 44 



(2) 



K = C047Q.85 ., „.. r« 1^ 3i 44 



