[ 56 4 ] 
XV 1 1 . Co-fine of na — .i ~n P+n'''p L —H' f P i +n''''P\ &?>; x , where P =z ~ 
Or = r-f ^.°^^f 2 ±! r . i=-* 
where •, and ^,5,C, &?£. Hand for the refpeftive preceding terty. 
Or put M’~ — jx r ; .^Azzh ,B zzAN;G^zBNiD ~ C N,&c;p rr n\p —n~^ipAz n—?. |P. 
And a' == p; b'=zp.'f ' J d ~p ip' v -\p v i J l — /^I'j #' = ^rf^pri/^rr^ pLpixL 
The co-Hne- of ~A— Ba'-\- CP — Dc f Ed’, &c. xM 
.XVIH. Let n ” +**' 
7?-—-} -n’ v — nv" An 
Q~z: — n' -\~nn r -\-B?i — An 
A^n 
B’ —~n J A 1 ~-n Y +«" 
Z)==+» r, "-»« v "+C*'-5* w +^ 
&c. &c. — \ 
The tangent of na~nt -f- At 3 r—*-\- Bt 5 r~~* -f- Cf>r—* -f* D/ 9 r~ s &V. 
Or 
Or 
Or 
= . » 4" -j- 5iV 2 -j- CN 3 -f- £)iV+ -j- &SV. x /, where N- 
nzfla -\-Ati -\-Bc -\-Cd ~\-De ,&c. where a -zztiV z=zNa\e ~N&'id’zzzNei& ( 
_ n—n"N-\-n ty N z -n’'N 3 -f -ri'"'N+, £sfc . 
i~ri'N-\-ri' l N z — ri J N z - J fn l, N*. &c. X *' ‘il 
Co-tang 1 of na ~r z +A / t z +BU z N+CP z N 1 +D'i z N 3 i-E , t z N*&c.x^-, where Ate -- 
Or —i- J rA , N-yB'N z ' J fCNi j-D'N±-{-E'N5,&c.xjr z t ; where 
Or 
I* 
i — n'N-\-n'"N z —n v N 3 -\-n r 'N^ — n'*N 5 >&c. rr_ . . where Ni - 1 
'n—n'Nfn ■N 1 —n"Ni f n' n/ N* - h*N*,&c. X ' * ’ 
: A - n' 
A-h-n 1 
B—Ari— 
B'-'n-n 
C—Bri — « T 
C—H-ri 
D —Cn' —Bti n -\-Arf — « v7 
D'=W 
(sV. 
&c. 
'C'—n' , B , -\-n"A l —n 
▼/// 
Secant of na = i -j- ^fJV -f- J5Af 2 -j- CAT 3 -f- DAT* + £A^, £ste. x M. 
° r ~i - n'N J rn n 'N i - , »''Ni+n r/l Ns& C . X Mi where 
Co-fccant Ofna i + A , N±]i , N l +C , N*-^-D'N+-{-E‘N*, &c. x M ; where N 
Or 
r n 
rn-l 
»— »' jv r «"iv‘— s , '.vi- r >"'jv, where iV — > 
