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

17 
aß 
CIRCA SERIEM INFINITAM 1-|--—-¿tf-j- ETC 
4 aabb 
A —(aa-\-bh) m F[$n, ( aa + jjji) 
= n{aa+bb)- n -'abF[in+,J-, *«+1. 2, j~^) 
Aaabb 
A „ = ^5M (aa+ 66)-*-« a Mf(^+l. in+f. 3, 
A"' = ” ( " +1 ) ( "+%a+6ft)~^ 3 a 3 6 3 -F(iw+f, +re+2, 4, 
Aaabb 
etc. 
Aaabb 
[aa-\-bb) z 
qui valores facile deducuntur ex 
h ab 
&[aa-\r bb) n — \-{-n[r-\-r l ) aa + bb -\- \ 2 \ r ~\~ r j {aa + hVf 
Tertio fit 
j\2 aabb' 
A =(«+6r'‘E( re ,i,1, ; ^) 
Ä = n[a + h)- %n - 2 ahF{n-\-1, f, 3, 
A" = n ±+A\a + hr^- i aabbF{n + 2, f. 5. 
A'" = «(»+*)("+^ (g+ 6)-2*-WF(»+ 3, {, 7. j^) 
A ab 
A ab \ 
J 
etc. 
Denique fit quarto 
A =(a-i)--*■(«,*, 
J.' = n(a — 6) —2w—2 a6f, 3, 
A" = ?|^( a -i)- 2 »- 4 aa66i’(» + 2, f. 5, 
4'" = .>+.)(.+..) (fl _j?( B+ 3 , j, 7 , - j^) 
etc. 
Valores illi atque hi facile eruuntur ex 
(a — b) 
A ab K 
Aab 
Q (a -f- b) 
2 n 
1 — 
= 1 -\-n 
Aab cos cp 2 ^—: 
1t+W~ > 
ab 
etc. 
Ö (a — b) 
2 n 
(o + i)*^* ~^~ T 
^ j _j_ Aab sin % cp 2 —" 
'-P?- etc - 
(a-bf 
) 
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