mi 



[EMCREM-ENT OF AN ARC 



WQ jhall .feave the order.-of the contiguous degrees as ''follows: 



^\ 



0) "in 



m (1) - - . 



X = X + J 



(3) (') (3) 0] 



X = X + S (Sin.^ / — Sin.s I) 



(4) (1) (4) (I)- 



X = X +Q (Sin.* i ^ SId,* &:c» 



(") (!) ...,(«) (i) 



ia X £= X 4- a (Sin.« / — Siu.^ /) 



"" ' (1) ^jj 



degrees are defcending from x in latitude /, 



(-1) (-i)C-2) . (_2) 



then let X be the next lower degree in lat, / 1 X the next for lat, / Sec, 



then 



(0 (-1) 



(1) (-2) 

 X ~ X 



(') (0 (-!) (1) (l) (-2) 



3 X (Sin.2 I — Sin,* /} s X (Sin? I — ,^ Siu,« ,) 



.4nd therefore X ^ X, =-- (X -» X) J _™_. L_L 



V- / (1) (— 1) 



•"''-■'-. rn {-1} 1 



g X «- X — i we ihail have, 



C) (1) 



X = X '— 



(-1) (i) i 



X. :^= A — — tl 



(-5) (1) 



X^X 



-3) (!) 



(4) (1) 



tO'X^X-^ 



(1) (-?)■ 



jSin.2 /-™SiM.2 li 



(0 (-i)< 



.Sin.2i~.Sii..= r 



(1) (-3) 



') (-1) 

 Sin. 2 i-^SUi? I 



, ;■•) (~<. 



(1) (-^lj( 

 ?} (-nV 



:i.) 



i;! 



Sju»^f ^Sijj.^i^^ 



=which reduced^ 



