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CAROL. FRIDERIC. GAUSS

v — a , t/zzo, v" — o etc.; aggregatum indefinitum v vv D4-v'v" etc. rr Q,; porro vt £, jj, g etc. fint quotientes diffa-rentiales partiales

dSl

sdx’ s dy ’ 2 d z etC '

denique vt ex eliminatione indefinita fequatur

xzzJ 4* [« «] £ + [a/3] »j -J" [ a y ] £ 4" etc. \yr=B-{-r«/3J^+[/33]i)4-[(3y]^4- etc. | (I)z = c + [<* yj £ + [/3 y J 1 } + [y y]^+ etc. JIam (opponamus, accedere aequationem nouain o* rz o (proximeveram, et cuius pondus zz i), et inquiramus, quantas mutationeshinc nacluri fint tum valores incognitarum maxime plaufibiles4, B, C etc., tum coeflicientes [cta]> [a /3] etc.

Statuamus Q -f- v*v*

a\a a*

d£l* _ p d g* _ #adi ’ fi cl y ^ ’ s d z

zr etc.

fupponanmsque, hinc per eliminationem fequi

x = J* + laa*]£* + [*&] n * + [a?*] i* etc.Denique fit

v* —fx + gy + hz 4 - etc. 4 - kprodeat inde, fubltitutis pro x, y, z etc, valoribus ex (I),v* = Fg+G7f + Hg 4- etc. 4- Kftatualurque F f 4~ & § Hh + etc. zz co.

Manifefto K erit valor maxime plaufibilis functionis v*, qua-tenus ex aequationibus primitiuis fequitur, fine refpectu valoris o

quem obferuatio accefToria praebuit, atque - pondus ifiius de-

ce

terminationis.

Iam habemus

£* -£ + f v *t y* = v+ gv*, i*~i 4- etc.

adeoque