THEORIA COMBIN. OBSERV. ERRORIBUS MINIM. OBNOXIAE. 37

atque per Et denotabitur. Manifefio valor medius hnius errorisfit r=o, liue error a parte conftante liber erit. At valor mediusquadrati (£f)*, liue valor medius aggregati

ff(Ex ) 2 -f -&fg Ex. Ey -f- 2 fhEx .Ez -f- etc.

4 ;gg (Ey)* + sghEy.Ez+ etc.

J*% 4- h h ( Ez ) a + etc. etc.

per ea, quae in art. praec. expofuimus, aequalis fit producto exmmp in aggregatum

ff icta ] -f- 4- afh[ay] 4~ etc.

4" && [3/3]4-2^A[/3y] + etc.

-{- h h [yy] -}- etc. etc.

fiue producto ex mmp in valorem functionis — M, quiprodit per fubftitutiones

B-ff V-g, g=h etc.

Denotando igitur hunc valorem determinatum functionis Q, — 31per a;, error medius metuendus, dum determinationi t — K adhae-

1

remus, erit =m\ r p oj , liue pondus huius determinationis —.

00

Quum indefinite habeatur £2 — 31 — (x — A) £+ (y - B) tf(z ~ C)£ -j- etc-, patet, oj quoque aequalem efle valori deter-minato expre/Tionis (x— sl)f~^-(y — B) g (z— C)h~ f- etc.,

fiue valori determinato ipfius t — K, qui prodit, li indetermina-tis x, y, z etc tribuuntur valores ii, qui refpondent valoribusipfarum g, r,, i etc his f,g,h etc.

Denique obferuamus, Ii t indefinite in formam functionisipfarum r t , g etc. redigatur, ipfius partem conftantem necessa-rio fieri — K. Quodfi igitur indefinite fitt = F£+Gq+Hg + etc. + Kerit oj—fF 4 - gG -J- h II -fi etc.

3 °-

Functio £2 valorem fuum abfolute minimum 31 , vt fupra vi-dimus, nancifcitur, faciendo y — B, z—C etc., fiue £— o.