[ 5 62 ] 
iv; 
s,t 
U 
V,Z ty f-Z 
-^■‘*- z .-and hr 
z^,4z 
2SS,-\z j 
V,az ~~ 
\ 4 dliU vJ-« 
*\& ‘ | 
’ .. 1 
V 
f J r ,-V' ’ 
1 • 1 1 
J - If 
v ,z 
l^z* 
■ ! 
' ; 
■ . • 
- - ti ■ 
1 
vi. 
?,z_ j,A-f4 a Pr t\z_t\x /,a 4 tj',A 
/,x j,A — 4a /,z ’ t,z~/t,x /,x /,z /,a— r/,A . ?J 
4 A 4z-j- / ,x s , z-f-x 
VII. — = 
43 /,Z— /,X JjZ . 
; ifzandxare two arcs, then 2; 
VIII - :rp r — 42XJ,X+J ,zx 4 X _ 4 zj:/,X i 
* *'“ Z /,zx/,x 
- 1 
IX / ^ J,zxj\x-fj,zx4x ? T+/,ZX4X ; , 
X. 4 z±x— 
r 
/,z+/,x 
, ^ — - rrx/,zx/,x 
— — 7— /r • and / ,zix — * . * . — • 
rr+tyZXt,x 5 / 5 z-^/ 5 x 
XI. jg®?. =^M§~A ; and /,z±z 
rr-f tjLXtyX 
fz*£\ 
tyZ±tjC 
XII. In three equidiffcrent arcs 2?,^; where z {^\AA^'d) * s mean a:, and 
x(~ ~\A—d) their common difference putjfl — ^ 5 j 2/>x s^—ixs'^i 
Then s } A— P—~s,a — Qj\~s y a ; And s,& ■■= P—s y A .== s,A—L 
XIII. Let d—v^A — v,a^s\a-s\A-, then ss,^-^ss,£ ; ~ is,A-\-dxd — 2s*fcw. ^ 
When an arc is terminated in the fecond, third, or fourth quadrant, fome ofpe iign; 
(*-{- and — ) of the terms- in the preceding theorems, will, by the known ruJe|becom( 
contrary to what they now are. 
XIV 
