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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 19
# Folio 7r, page id 00068232:0013
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vi
XG.
e
arat
b Xy + C X
bxZy + Cxyo
bx0v + c8yv1
bxey + cxyy
bxzv + cpyn
bxzy + exyn
hXsyn efxyy
eti
equationes duae disquigradales ary+ brrcus  Exmatnus +
ultiplicando fier axy 1 - bX- cy punde multiplicando fiet aequatio
mx-ny r lxy
tamxytanxy B +blxy + clxy
it aequationes disquiguadales
(1
a Xy + bxZ + CyZ + dx + ey + fZ + gF
axy + βxZ + H 3Z + d X +Ey +9Z +Y
70
Axy +BAZ +C yZ + D F +Fy + FZ + Gp0
et  +67Z+ F7Z + dX + ry +F+ g0
ope harum trium aequationum  axy+ buZ+ C3Z + Op
Lxy + βxZFRyZ + D, 1o
Axy +B,) +C32+ PB
habetur vy. XZ. yZ et valores substituendo in aequ. 1. 2. 3. habentur
rursus tres aequationes pr inveniendis X. g. Z sinpilibus
a X2 +by + cx + dy + e B0
X x + βy + KX +Sy + E B
GeaCX + a dy Ha e
a KX - ady -a C
B Cx  dy e2
F ab KX dab dy tab C
F + aBcX + aβ dy, ap
LoX
=ab cx - a b dy = abe
ba pa
o quae aequatio est aequatio identica, idque
poteram praevidere duabus enim
equalionibus duae quantitates 
tolli possunt, sed anveniri
idemestergo et in
sed si fuisset aX +bu +s Cx+ dus +CZ + f2 B
ax + Byt
AX + Ry
+K X + Sy +CZ+ G2 7
+ Cp+ Dy + EZ+ F n
restabit aequatio in quam solum erunt. X. y. g. Verum ea aequatio
erit unica tantum.  idemest in reclangulis ergo
non potest disquigradalis reduci Tam facile ad aequigradalem
assumendae novae literae, et aequatio dvidata hoc
modo diorenda implares aequligadales.
X 1y
c
est xext yu
e
ogoigradatis.
∞ a∞X+ a)a 2 aO- aD
a∞ X + By + a V N0
aB. ab
Xp 3O- b∞
problema
euit ratio