46 
CAROL. FRiDERIC. GAUSS 
v zz o , v rr o , v' — o etc.; aggregatum indefinitum v v -f- v v 
-\-v'v" etc. =£2; porro vt £ etc. fint quotientes diiFe- 
rentiales partiales 
dii d £2 d Qj 
i dx 1 s dy * 2 dz 
denique vt ex eliminatione ind finita fequatur 
x~ A fi[ ct jS ] 3? [ ct y ] £ 4" etc * ) 
y = B 4- F<*&]£ 4-1/33] 37 4- [3 c / j £ + etc. | (i) 
~ ~ c 4- [ay}£ 4- ['3 y] st 4- [yy]^+ etc. ^ 
lam fnpponamus, accedere aequationem nonam v*~o (proxime 
veram, et cuius pondus ~ i), et inquiramus, quantas mutationes 
hinc nacturi fint tum valores incognitarum maxime plaufibiles 
A, B, C etc., tum coeflicientes [a a], [ct&] etc. 
Statuamus ii 4“ v * v * — ii*. 
dd* _ dii* da* 
c d x ^ ’ 2 d y *1 ’ 2 d z 
fupponamusque, hinc per eliminationem fequi 
x — A* 4- [ a ct* ] 4- [ CC 3* ] *T + [ « V*] elc . 
Denique fit 
u* rr f x 4- gy 4-^24- etc. 4- k 
prodeat inde, fubflitutis pro x, y, z etc, valoribus ex (I), 
v* = Fg4- 4- i/^4- etc. 4- K 
ftatuaturque F/4- 4~ Fi/i 4- etc. rz cj. 
=r etc. 
Manifefio K etit valor maxime plaufibilis functionis d*, qua 
tenus ex aequationibus primitiuis fequitur, fine refpectu valoris o 
quem obferuatio acceiToria praebuit, atque pondus ifiius de 
terminationis. 
lam habemus 
£* =£ + f v *> »I* = tf4- £*>*» = 
adeoque