UEAM OF EECTANCIULxUi CKOSS-,SECTION UNDER ANY SYSTEM OF LOAD. 105 
{{a' x) (f)i — (x — a') (f)., — ij log {ri/r.,)] 
Ti COS V 1. (pi — COS + i <p2 
TV 1 W rj W 1 
fi 27 r'^ ^ r., 27 r X + fj. 
. 2W7/ ” . ^ 
/ATT 1 
■2vr»f_i 
TT ^ X' + 
+ 1 )! 
1 \ ” 
+ - SH, 
0 
COS 2t/ + 2 01 — COS 2u + 2 cp-. 
2Wd 1 - --■'+1 
TT 
TT A -|- yU. X 
rr ■' cos 2 z/ + 1 cos 2u + 1 cp., 
1 )! " 
1 w. w /I . 1 ' 
+ 
277 \X' + g fji 
(81)). 
-j- — 
2^yh ( 1 
..1v + ^++ 
sin 2i/ +"l <Pi — /fsin 0, 
/;-='++ ^)! 
2Wi) 1 " / 
+ - , - S 
77 X + yU. 0 
sill 2 i/ + 2 (pi — sin + 2 (po 
(2v + 2) ! 
Ho 
w w 
^ ~ ^ (*^1 ~ ^ 2 ) + (sill 2(pi — sill 2(/)o) 
_ ” .jj sin 2v + 1 (pi — sin 2z^ + 1 (p^ 
-w -0.0,, 0 “ i~i-- 
ft"’'-*-' (2z/ + 1) ! 
TT 0 
4W 
7!’ 0 
V /_ 1 V TT sin v + 1 ( pi — sin v + 1 (p-, 
/ t' 1 V+\ / I"l\t 
0 {v + 1 ) ! 
I 4Wy ^ , . (j-j sin + 1 <^i — sin v + 1 0 o) 
^ 776 ^.+1 6^+>Ti)T ^ 
w w 
— ~ _ (<^i ~ *^ 2 ) — .) ■ (sill 2(Pi — sill 2(po) 
77 
4W 
. 2i/ + 2 
_L V TT 2v + 2 (pi — sin 2v + 2 (p-, 
//-"+- (2z. + 2)! 
_ ^Ll(_ 
Trb 0 
/_ 1 /'i^sin V + 1 (pi — sin v + 1 <^o 
\ '/ -n^+i ^ - 7-*'+r7 tat;- 
b (z^ + 1)! 
W 
(cos 2(^1 — cos '2(p.^ 
(DO), 
4W ” ?’r'*'^^s 2v +1 (pi — cos 2zz -f 1 ^., 
(2zz + 1) ! ' 
>."+1 ^ ^ 
- - 2 Ho 
TT 1 
1 /' 
VOL. CCI.—A. 
v C OS V P pi — ?’o^^ cos V -\- 1 p 2 
ir\v + 1)! ^ ' 
