[ XXXVI ] 
INTRODUCTION. 
('7) 
llo** 
*[x-y) 
§ IV. 
2 sin 2 or 2 sin 2 2 x . 2 sin 5 3o7 
Sh2p 
log sin or 
logcosx 
2 sin 2 07 
Sh 2p 
2Sh4p 
2 (/COS 2 07 
Shxp 
2 q sill 2 X 
Sil2p 
2sin 2 207 
3 Sh 6 p 
2 </ 2 sin 2 ‘IX 
2SI14 p 
2f/ sin 2 207 
2Sh4p 
2 sin 2 3 X 
-f-. 
2 q 3 COS 2 3o7 
3Sh6p 
2 (f sin 2 3o7 
3 Sh 6 p 
+■ 
+ ■ 
+■ 
2Sh4p 3Sh6p 
sin2xsin 2y , sin 4^7sin4J sin 6 07 sin 6y 
Sh2p 
+• 
28b 4p 
3 Sh 6 p 
.,\ X +X) 1 ,_sin(o7+jr) rysin2.rsin2j 7 2 sin 4-r sin 4j (/ 3 sin6o7sin6r 
“ ° s - — Qh O n oShXn 3fthitn 
3-, [x—y) 2 IO °sin(o7—y)^ Sh2p 2Sh4p -l ~ 3Sh6p 
1 (r S- 2 (x-hr)_ I. ^ cos(-r-f-j) g sin 207sin iy (/ 2 sin4.rsin4j 7 3 sin6P7Sin6j 
2 °^3 2 (o7—y) 2 0 ° cos [x—-y) Sh 2 p 2Sh4p 3Sh6p 
x 3 :i [x+y] sin207sin iy sin ^x sin 4 y sin 6 07 sin 67 
2 Sh ‘ 2 P 
3- [x +7O 
(*9) 
—log 0 . .. 
21 3- (¿7 —yi) 
L\oa*< 
2 i ° 3, (yi + X) 
1 lo ~M*-.rO 
2/ :0 3 ;2 (p7+j/) 
I 07 — W 
arc tang 
2 Sh 4 p 
V {x, yi, r/) 
3Sh6p 
1 , 3, 
—• log r 2 
21 3., 
V (07, yi, q) 
1" [07 Ip — r) i, <7! 
o: + arc tang : /— J ! . l \ 
V [or, [p—r)i, 7] 
fo7, ( p — ri x, q 1 
07 — arc tang -. ,-p—yi-—^4—M 
k z [07, (p—y)h q\ 
K {x, yi, q) 
\Voyez form. (15).] 
(07 -¡-yi 
— arc tang 
K i- r > ju 7) 
Y. 
(20) 
Dj; log 3 X : 
D x 10g3, 07 : 
D e log 3 2 07 
3 x 
3, x 
2 
3,07 
(2 (7 sin 2.37— 4'7 4 sin407 —(- 6</ s sin6o,—K..) (*), 
/X X xi \ 
{ q 4 COSX — 3 q 4 COS3o7 -f- 5</ 4 COs5o7 (- . . 
/ 1 9. li. \ 
-V </ 4 sino7 + 3(/ 4 sin3o7 + 5q 4 sin5o7 + /, 
D x log3 3 07 — — (2 q sin2.37+ 4 q k sin 4-27+ 6 ( f Sin607 —p- 
3 3 07 
, Sin 207 , sin407 . sin 607 
D„ !og3 07 = 2 77; h 2 -57—7 h 2 -57-75 K • • > 
Sh2p Sh4p Sh6p 
Sin207 ,sill407 , 3 Sin607 
D x log3,07 = C0t07 + 2<7 g| ^ ■ + 2q + 2(/ 3 7.1 ■ +. 
Sh2p 
Sh4p 
Sh6p 
Sin 207 ,sin4^7 , sin 6 07 
D x log3 2 07 = — tang07 — 2q + 2<7* CTT77 — 2 7 
Sh2p 
Sh 4 p 
Sin 207 sin 4 07 Sin 6 07 
D log3.,07 = — 2 ■sr [- 2 -57-7 2 nj-R • 
x D 3 Sh2p Sh 4p Shop 
Sh6p 
n J7 «2 K 
(*) D,log3* D log0 (m) Z(u) (Jacobi).