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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 4r, page id 00068197:0007
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mo video exhis
AC, C
EC v.
BB, P. H
PC
BF, v-GF:
s
non possenvam
 GF: y - BF
J. CG
 aege. 
A B X
DC
G8,S- eABX+P
y: p :. . B: (-C: X + p
t
sec
a
Xx +yy aequ4
XX + BF aequ. VV- 2VGF + GF
yV + pp aequ. ss.
VD +ss. 2se+ ee aequ. XX + 2Xp + p
ee +GGF aequ. yy - 2yBF+ BF2
e BFaequ. =GF. rursus YX Xy-XBF aequ. ve = eGF.
C
erit BF aequ Xy + e GF - ve,: X. Ergo XxGFaequ exy+ ee GF. vee
seu GF aequ Cxy - veC : XX- el et BF aequ XXy-XVe, Xx ee
1II
R SV aequ’yx +yp. seu s X aequ. sv- yp: y
Dv aequ ys-ye, seu ppoo + 2pyev Lyyee aequ. yys seu rypp +y
Ax tpxppaeqo suviyy aequ Peretgyvogu
B Opus est ad huc una aequatione inter p. y. V. C
ruteri sed (pro x substituendo valorem in valore ipsius GF, erit
aquave 
stantos
a CF aequ. esv eyb - veei (nv- 2 (py ∞+ yorv: yyy- et
senimdatur relatio utere et D. debet p salceum ex duobus haben, e et y
seu GFaego erysv. p-gybee: for-2)vyp +. X7 pp - y7 et
quia
Et GF: e
ja
, fiet syso-yp. yue aequ. Pssvo- 2 sypp +yyp= yyeep
D. C
et pro ys substituendo valorem pr+ye, et pro Qualorem yu +pp, fint.
vyy +vye- ypyve) aequeprpyy v-EDP- 2 epp tyyp. yy ces
s
e
seu fiet febse aequve yt+ yypp aequ. vrpp +2vy ep +yyee
c
e
seu y Syytpp aequ. vetge seu ys aequ. pvaye quod jam sciebamus.
pr
. v- GF .: p: s. seu BF aego PV- PGF,: S aequ X GF
unde nihil hinc discimus noti.
Ergo aliter.
aequet sv yP,: ye seu poye aequ pye +sv -sy, GF seu:
GF aequ. pvye: pye+Iv- syp. et pro sy substituendo valorem potye
fiet pyY pGF ago Pvye: pye + ppV+ yyv- ppV = p7C sou Gfaego Peas
Nova ergo aequatio, adhibenda haec est, quod xxtyy aequvn + ec.
Unde nihul discimus
Est autem XXaequ. Svv = 25VyP + Gy pP,: yy, et fiet Nov-2swyptyyppty aequvoyytge
et pro ((substituendo Yy +pp, et pro sy ponendo v0 +ye. fiet:
ouy (2ppor-2prye Lyyppty aequlovyetgy ee, quam componendo
e
4
us coincidit cum
cum enu  fiet. yyec + puonaanvge quae aequalio
sufficere ergo debet aequatio (.
aiqu. D unde nec hina aliquid novi
A
nosdiberes