THEORIA COMBIN. OBSERV. ERRORIBUS MINIM. OBNOXIAE.
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Statuamus itaque efTe (I)
m° ~ 2i° x -j - ' 33° y 4“ z 4” etc. 4“ £°
u — 53' y -}- (£' z -f- etc, -J- i'
u" = (T. * 4- etc. -f i"
etc.
Hinc erit indefinite
' d x -j- >7 (3 y -f- ^ d z -f- etc.
u° d u° u d u u" d u"
4—fwT - 4~ q*'? 4- etc.
i d £2
53'
53°
= “° (dx+ y^dy 4- yo d3 4- etc.)
d'
4- u (d y -f* etc.) 4“ u" (dz-j- etc.) -f* etc.
vnde colligimus (II)
23°
y=-y-u° -u
d° <r
•> ^ n t ' i "
¿= fl5 U + gy “ + “
etc.
Supponamus, hinc derxuari formulas fequentes (III)
w° = 2
m' = a’ £ 4-
u" = jr-£ + irii + g
etc.
lam e differentiali completo aequationis
a = £(» — -4)4->7(y —+ — c )4- etc. 4-M
fubtracta aequatione
|dQ, — ¿dx4“i;4y4'^4z4- etc.
£ d£2 — (x — ^4)d£ 4- (y~-®)4^4" ( z — ^)4^4* etc *
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