Full text: [Allgemeine Analysis] Theoria combinationis observationum erroribus minimis obnoxiae (3. Band)

280 
NACHLASS. 
A — a-j-a'cosa-f* 0 ^ 008 1a-\-a'cos3a-|- etc. 
—f-^'sin« —f— ^"sin 2a-j-?)"'sin 3«-|- etc. 
B — a-f-a cosé-f-a"eos 2&-f- aWcos 3&+ etc. 
—0'sin 6 —{— ^" sin 2 ^sin 3 —j— etc. 
C = a-f- a'cosc-)-&"cos2c-(-a"'cos3c —J— etc. 
—{— í)' sin c —(— " sin 2 c —}— sin 3 c —|— etc. 
D = a-j-oc , cos<Z-|-a"cos2^-l-íx w cos 3 c?—j— etc. 
-}-€'sin^-l-@"sin2^-f-^ w sin3í?-|- etc. 
etc. 
T = a + oc'cos í-|-a"cos2 í-j-a'"cos 3 /+ etc. 
sin ¿-j-íT'sin 2¿-}-t)"'sin 31 —j— etc. 
Multiplicando has aequationes resp. per 
sin£(a— b) sin^(a — c) sin£(a— d)... 
1 
• sinA(a—t) 
sini(¿» — a)sin-J (b— c)sin\{b—d).. 
1 
..sin A (b — í) 
sin a(c—a) sin{(c — ¿)sin£(c—d). . 
1 
.. sin£(c — t) 
sin \ {d— o) sin ${d — b) sin \ {d—c).. . 
etc. 
1 
.sinA (d— t) 
sin £ (t— a) sin a (f — b) sin \ (í — c) sin a [t — d) . . . 
icta prodeat 
A 
sin a (a — h) sin \ (a — c) sin a (o — d) .. , 
1 B 
.. sin £ (a — t) 
1 sin A (6 o) sin A (6 c) sin A (b — d) . . 
, C 
. . sin a (b — i) 
1 sin £ (c — o) sin \ (c ¿) sin A (c — d).. 
1 D 
. .sin-A (c—t) 
1 sinA(d—a)sinA(d—¿)sinA(d—c) .. 
—etc. 
i ** 
. . sin A(d— t) 
1 sin a (t — a) sin \{t — b) sin \{t — c) sin 
A(í-d).... 
W
	        
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