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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 46v, page id 00068195:0092
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. faciemus (1mo) aa +2max = xxF yy
2nay
et differentiando + mxtny -0md
seu a = - mx - ny. quem valorem substituem
do in aequ. 1 fiet mmxx + nngus +2muxy
 Cerm-2 mX+ ny = Xx Agu
seu 310) L max mxt ny = Xxt yy. quod
rursus est impossibile. Itaque assurcenum
erit et factamus a Nec assurgendo
altius faciendoque a + 2maax = aXxXtjy
in au
qui quam lucraremur, redimus enim depression
ad prioren. Hoc unum ergo restat
ut fial (imo) aa raa + 2max = XX rgy
y a y
et differentiado habebimus: 2d0)
era nt mix + ny = 0 seu a 2a-
 a=r minys. quem valorem
substituendo id ag. 1  fiet (3tio)
et  mxtny L= nX+ ny = XX + yy
seu -= mxtnus = XX + Gy. quae
aequatio ut fiat possibilis, opore
esse r= - qu. itaque si sit ae quativad lirculum
=qaa +2max = xX+ yu posito qmn
i
cint  a= nx +ny: qq
p
nosisalcqus
Cmxnus: qu= Xx+yy Quae est aequatio ad
ee
Literae super fluae.
3+ a, y 1b, y +C,, . y + h, y+i, y + K equ
V+ qy + ab y + abc. + y + h. 1 + hi ythikerg
bc
K 
y+ ly + my +n + y + py + qy+ a
a5 l a + ma - n aequ. 0
h- ph. + Gh - r aequo.
ubi si ponatur n aequ. 0. item
P et q vequ. 0. fiet : a - l a + maequ. 0.
quae et uno gradu inferior, et haego s+
sed facise la posito fuisse
datam aequationem 2y2+ ly + my+Y
poluisset investigatio ipsarum
s et, a adhuc magis deprimi
possumus et sic:
atd aY +b, byad evat aqu o
aceV + act
en viceb
+ cbf
Cb0
sed jam video a. cte 8
nem scibi potest y +b pro ay+ b tota
aequatione per a divisa eodem modo
y 4 d procys 4d. jam vero pro b
vel d’uove literae poni possunt. Iitaque
inutile est, ipsam literaum y hoc locer
afficiidemest et in analogia t
praesenti casu, ubi ay +b, cy+d, 4
+ hV+ F, + quad aequ.0. nam scribemus salva
quatia
y4t
y + d 42y+F, gy+d
sed hin viveo niffectionem ipsius y non esse plane inatilem