C 566 ] 
XXIV. Alfo let And «!=^f 
, &'~-r 4 v'f" 
>=+?’' —«?+"?' 5''=+?’"— 
‘ / '=~ q'"-\- c ,q r — <f' =— 5 , "'+ £t '2 v/ — /3Y r -J->", 
&V- &V. 
Secant/ — r ^r — 1 -f- £<j+r - 3 -J- &?r» 
Or = i -f- aiV-j- -f->A r3 -|- jiV+, &Y. x r. 
Co-fecant / = a — 1 r 2 -j- -f- y'a s r — 1 -\-l'a 7 r — 6 , &c. 
Or = rr- f- * aa-f-P Naa -j- yN*aa -f- <*' '‘N 3 aa,&c. x where AT — j , 
XXV. Putting^'^l^''^^ & c ,N~l 
Then arc a = i -f- ±p’N + jfN* + jp"W 3 -f- ^p Y N\ &?r. x x. 
Or = x + #^flV+ |/>"5iV+ jf'CN -j- ±p‘ v DN, &c. 
Or — x-j- J A ^V -j- AW + £| CiV-j- j* ZMV, £*. where A, B, C, t'< 
ftand for the refpective preceding terms. 
XXVI. If v is the verfed fine of an arc a, diameter being A-, M—~ d > R — vfE 
Then arc a= i-f M- j- jj AM+% BM+ %CM t &c.*Ri A,B,C, &c. r 
as before. 
XXVII. And putting N=*,A=:f, B — AN, C— BN, D 5= CN, ft 
Then arc a = / — \ AN + }BN - $CN -f ^D2V + T ' 7 AiV, &c. 
Or = i — }N Z — 7 ^ 3 + i^V + + TT^ r; , fs?f. x X. 
XXVIII. Alfb, if c is the chord of an arc (a ) ; and N~~- 
' . dd 
Then arc ^ — r-4- ~^AN —iiV’-j- i-CAT + 7 ~DN, &c, where A> B, C> p 
ftand for the refpective preceding terms. 
