Full text: Commissions I and II (Part 4)

he 
‚te 
en 
ure 
14) 
ote 
  
  
dy = 
11 
C 
p: (— y (cos o sin o eos x — sin ¢ sin x) + h cos w cos x} dx + 
C 
“m (a (cos o sin o eos x — sin q sin x) — ^ (sin sin c cos x + 
cos q sin x)) dy 4- 
N, 1 
— de 
cD + 
C . . . 
T (— 1 cos c cos x 4 y (sin q sin c cos x -- eos g sin 22) dh + 
C . LI 
Dè (— cos o eos x (a? + h?) + xy (sin ¢ sin œ cos x + 
cos sin x) + hy (cos y sin o cos x — sin o sin x)} do + 
C 
D? 
h sin ©) + sin o cos g sin o cos x (a? — h?) — y? sin x + 
(— sin x (x sin p + h cos q)? 4- y eos o cos x (x cos p — 
ha sin c cos 2 ¢ cos x) do + 
M (— x (cos o sin x + sin y sin c cos x) — y cos o cos x + 
h (sin y sin x — cos g sin c cos x)} dx (16) 
c 
D: (— y (cos o sin c sin x 4- sin q cos x) + h eos o sin x) dx + 
€ 
4 (cos q sin c sin x 4- sin cos x) — ^ (sin 9 sin c sin x — 
D? , | 
COS COS x)} dy + 
N, 
—— dc + 
cD 
D: {— x cos w sin x + y (sin y sin o sin x — cos q COS x)} dh + 
C 
T - cos w sin * (x? + kh?) + ay (sing sino sin x — eos q eos x) 4- 
  
 
	        
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