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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 26v, page id 00068049:0052
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s pxraerxtasx+alxaeu
X XFB, XIY, XS. sit X = A + b um +C sen+ f mn
33- +b3Im sim + C In Sin + Fomnsmn + 6bcf lmn
3behl m 36dun + 3bFm Imu
3bfrunsim hcfrmusia 3Cfln smn
(quod semper fieri pt)
si ponrinus in dato esse g=0 et ut
et in assumto esse c=0, quod nihil rocet,
tollitur sin,
fieta 3 = BIm Am +5 ma smn
ax=
b
a53
Bimum
3bimnulm
s
Ergo bv - +c ag. _to.
seu idav v  EvV = Oto et revoloitum
sit VX = 1DX + IX +124
X = hh + bblm + ccla +ff mn
2hb sim + 2hc Sin +2 af umn
2Cfn. 2bsm
2bel
+6bcslan +bm sim. +etn IIn + sun imn
3bfmn
qX = 9hht AbUlm + 2hb
qeelatotm 2f
ex = rh
3bcm
3Cfmn
E9hC
29bem
+ YC
ms mo)
et XX - xVY + Qv =V = V + 2Cv -
fit ale 2CV = 8 L. c A 10 + 2c0 s.C + cort
en 
vre Y + ee =
et
=ca +2V
utauxramx co 
3bAm
3C An
s = C, + vf. c +
 + 2f. C + coVY
∞ = bAm + f Imn aGxx aqbblm + 2bfm stn
anmna 4bf) Mn
+2bb( lnn
+4 bbf cn
aeqbuim
a
ffmn
ft nn
2aqu m.
X tagXX + Far- PIag + h sin =
 a = +a 2 2q + 2agt in
+hh In
la 2agh ab5nin. ragm, 4fn
afre, 1 + ns 2agh- 249b) m: 4bmin
lb + 2labS= nn ( m. +aym (B ns + q bnf m +4 r = cuqe
Ex 2 per 3 fit (2) 249h. 2gbem, _ +aegm 2agh. 2a qbem
=iBa . +3OIa X + 3, 11. 1aX + 12a
12
1oCS tvac, vona +10aC. 210V) +
1X + 21(C+ 21 anXF2mX
a
lBacua + 1ac. 2. nM WaC Ha)
obfmm
abfrum
hila
tar- aagg. Elo 
ergo habetur ipsorum lb2, et net summa per aeg. 1
1
es
at
et factum per c9. 3. Ergo dantur. At ita labe
bimus l, et n, sed si quarere malunq
b. 10 ioatnaxioas, et f, ex =9. 3. habemus bf, btm, et si assuratur
Eleaid r aremnior+ de ad cubum seu ad bCM. quo valore substitulo in aeg. 1. habetur
1- P.2 m = (47 -H: 2a 2) 4. 2- pp. 8a anr n=K2= 1: 4a +p. 16aa
absolvatur
3beln
+ rb
Bgh5
tbel
+1
bblm +2Hmn = carr = 3bem + fmn. Ergo _ fnin = bblvi
A= +Ulum + aBflr YIn
aGXY
a
3. 10114 +6. 10, 111Q X + 3. 10. Ha X
itam
2
sit X dX X +x + Cf6C)- (et 2efv +xv. fic X∞ v =2eV - c
fint XtcB = Ato
10 1b + 318. Ha Xt 3. 101a X
16401
Ergo X=
+u +rlam + ilan
X = b v - 1 Ergo si xx bxC= Bto
e
= S
bbtnst 3Hfmn = ai
EN + LX + amX + aen B, =X+ 2lX rEum X aX
SXx +b = Xx +X b+ O L
Ab0V = XV + 1
qram pricra
a
ba
D2 = bblm + celn + fFum + eslm + 2bf sIn + 2bel Sun
3
aVx
a3
1
et
bbt
69.4 in quasolum lb et nA. ergo habetur tam b quam 
an autem aeg. Ua cubica deprimibilis, vedendum Atque hac rave
is quod lacet in irrationalis maret ad huc libermu
N
A= 24
oe