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

lam quum 
V(i—* 4 )(i—**«•) 
z = 0 usque ad z = 1, fit, pro x = 1, 
adeoque 
i +(t)’+( 2 -:) s +s s +...=2 
Idem alio modo 
Valor seriei 
i+(t) 3 +(H) 3 +(^^') s + - 
\/(l — coscp 2 cosd» 2 ) 
a cp — o usque ad cp = 90° et a cj) = 0 usque ad c|> = 90°. Faciendo itaque 
cos cp coscj; = cosu, idem valor fit 
y/(coscp 2 — cos u 2 ) 
et quidem ab u = 0 usque ad u = 90° et a cp — 0 usque ad cp — u. Deni 
que statuendo cp + u=/, u — cp = ¿r, erit expressio nostra 
2 rr d 
TtTíJJ v/si 
d sin/ sin g 
ab g — 0 usque ad g == 90° et a / = g usque ad / = \S0 (> —g. Sed haud 
difficulter probatur integrate eundem valorem nancisci, si sumatur ab / = 0 us 
que ad / = 90° et a g = 0 usque ad g = 90°, unde ipsius valor deducitur 
TCir 
uti supra, 
m. 
mm
	        
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