THEORIA COMBIN. OBSERV. ERRORIBUS MINIM. OBNOXIAE. 57 
— (n!-~§)iv A —/>t 4 ) + iit — §Y fJL* 
^l({aci-[-h(3~\-cy 4~ etc. ) 2 )) 
(? 4 — 3A« 4 ) Cp — 
Error itaque medius in determinatione ipiius ¡jt¡j. per for 
mulam 
M 
PP~~Z—“ 
7t — § 
metuendus erit 
>4 _ .,4 
9 
_ i t> 4 — yu 4 y 4 — 7 u 4 1 
= ^ { -^7 ( ~- ? y-i?-2C(«« + t/B + i y + etc.) 2 ))| 
40* 
Quantitas 2((nc£4-6/3 + cy -f- etc.) 2 ), quae in expreilio» 
nem modo inuentam ingreditur, generaliter quidem ad formam 
iimpliciorem reduci nequit: nihilominus duo limites aifignari 
poliunt, inter quos ipiius valor necellario iacere debet. Primo 
fcilicet e relationibus fupra euolutis facile deraonitratur effe 
(act-f-Zi/3-fcy-} - etc.) 2 4- (a ct + b (B' + c 7 + etc.) 2 4~ (« ct" 
4- h (B" + c y" 4“ etc.) 2 4- etc. —aa-\-b$-\-cy-\- etc. 
vnde concludimus, a ct 4~ h/3 4~ c y + etc. elTe quantitatem po- 
litiuam vnitate minorem (faltem non maiorem). Idem valet de 
quantitate a ct 4- b'$ 4~ c y 4“ etc, > quippe cui aggregatum 
(o> ct 4~ b (B 4“ c 7 4“ etc. ) 2 4- (a ct 4~ b' (B' 4~ c ' 7 4“ etc. ) 2 
4~ C & ct' 4- b' (B" 4~ c y" etc.) 2 4- etc. 
aequale inuenitur; ac perinde a" ct' 4~ b" (B" 4~ c ” 7" 4“ etc. vni- 
tate minor erit, et fic porro. Hinc ^E((a C t 4-h(B c 7 etc.) 2 ) 
neceffario eit minor quam 7t> Secundo habetur 2 (a ct 4-6/3 
4-cy4~ etc.) =r p, quoniam fit ^cict — 1, ^b(B~«, *2cy— 1 etc j 
vnde facile deducitur, fummam quadratorum 2 ((nct b (B 
+ cy 4- etc.) 2 ) effe maiorem quam — , vel faltem non xnino- 
7i 
rem. Hinc terminus