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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 18r, page id 00068197:0035
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Non est in polestate redolae extrahibilem
igulam gatallis est
rationalem integram
dex binis iteris lers onotenectum inter se servantibus constante
cujus uterae ponuntur labere valores simplices nullu
selt XX +
Aoy
ex una variabuli dependentes
exy +
a
e
gy, vel X Xy rxp
vel X + b Xy + C XXyy + e Xy, f y, nam
cl
du a
4
X +CxX +LX + f
ividendo omnia per HG hoc est V, X +
a y3 29y a) a
haec formula cum sit unius quentilaris E habet quatuor radices,
quaum qualibei multilicando per y. habetans, quatuor
producentes simplices aequationis,  sed earum binas dedemus
debenus trs reboere aequales inter se, quod non est in potestate
si
b
C, e, f, sint datae. itaque neque licebit sic axplicare
Y per 107 + Ha, et X per 207+2a, ut quod
prodeat sit quadcatum
e XxDuu licet in simpleribus aequare quadrap
sur necs
p.
nam uit yu +.
x +g, hujus duae sunt ravices aeques
y
s Z + vg, et Z - 1.g quae utique non sunt aequales
XX ryy = gy +=∞ 2fy + ff, fit y - xX - f5,: f sed
ita ynon est simplex XX + yy = XX + gy + YYC2YXA2ry + 2Xy
fit YY- 2YX - 2Y9+ 2Xy 0 sed nec si C sunt valores simplices
fit y = YY - 27X, :, 2Y - 2X. sit Vabeem iaspi prima
perce exhroc valore non apparet X et y se habere
eodem modo XX + (14-275∞ + trryy: 
AR.
 X =
= BY+ 4IYXX4
qu
+arx =2YX + 1
(Xx a2IX+N) =xxtyy
2, X -Y
 grt
9: J4XX - BIX+ 41Y
X+y - Y
2rxe
(+rr~2YX
 sit xX+EIX-N
verte