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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 26v, page id 00068196:0052
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ob aequ. 3. fiet al + mZ + 2 1( 5 taag) Y al ZZ) = yy et rrsus
4025 + 4 aag 4 ahzZ = yt + ralyy + 2mZ yy + aa Il + 2 alm Z + mnz.
Hira fi gah = um, fiet habetur Z rationaliter, et potest
2
constum
summari y = V al + 2 tah Z +D (a f + aauzue + ahZZ) sed relinqueendo
rem in stata priore, non ponendo 4ah= min, aec aliud, et sit
mon _ mno- dah = 88 fint Z2 + 2mgy + ralm - quagque + y + ralyy taall 
∞∞
um y + ralum gy e naltrm d 94
eo  es
.
eaagm..
=qagm.
2ale.. 44a 99. C. ∞4
e
a
nall d
+4a
V
ft evandscenta n termino subvinculo ubi abestss
fiet
ras
inyytalm. Zaage mmytrmyyalm -amyyaaue + aallum- almanus + gg
leu 23 4 2.
 D
V Tahy +gaathgus.
myus +alm = 2dag.
Aaagn..  eecicc
s
1s
y = S (Bab HACXX + SadtAX +X
h a gn + aagp Xx  hp X
aatn.
 g = ad: n 0 = af:h
458 uglm. rogue
aalles
9hll
aailmm +gue hll
imm. 1P= 4ah
Asi ponamus
initio par prae-
cedentis paisse
Z =
A idcmcala
seu Ge nunde nihil proficimusim
Sed si loco Z asfuisset L
aXX H at, fuis
ad + aexx + afx-
 +, , aan +XX
hp= af aagptaahp = ae
agn = aed
aagp = a df: tn fit aadt + hn = ae hhnn -aehn + LaaeC
et fit 1o hn = e + Z ac + SZCC - d = haaee- aud f
Cn et eodem modo Gp = Zae = a fzec - df
aagtaan = aab, seu g+n = b et h+ p = C
a
Hine hb -hg = 1 ae + a sZ ee d geseu ab lu
h= ae + a V ec-df,:, b- 9  F. qlaeu 3
9c - gh = =a a s ee dt bcg -ggC adg Bag 1ce - df
C Fabe-ab V ee Z aedt ags ec d
in = ZaC + a V ee-df.
qp = L ae - a V= ee dF
9+n = b t+ p = C bb L bh - gh = = a e+ a l. 4 ec - df
 (1) - ot = L ae = a V e - df    bsr
 bh - cg = 2a l eedf
g+ n = b gn = ad b9~ gg = ad seu gg = bg + = bb = 2 bb - ad
d sen dag = Zb + A( bb - ad) et n = 2b - V bb - ad)
et eo eodem, modo D h+ p = c et hp= at. unde
h = ZC + S(zcC - af) et p = 2C - s ( cC= af)
restat una aequatio op + hi= ae, ubi substitutado valores inventos
iplorum Dh, n, P habebitur equatio sine incognitis, eum quem
supra datura vatorem ipsins A ad
bcg - cgd: aeq - Baq  ee di( = = abe - ab  ZeC- d (. + ac9 tag 1:, lC df