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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 119r, page id 00068198:0237
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P= a 3 C -y
2BB = du AE3FqF = dv
ABC A sedn
AFCA = (na
Sivan 4 ABCA + AFCA = ACfe ABCC) + d du 
svan + fndo e + nv + dudv. dix
LRDEV, dev = (-nV. +nV+ van +n do + dudo
dno B A(C) - AC = 3BgC + 3FAC - 3C4C =  du vrdr  v dn t ndv + dudix. per r et 4 redit 1.
ntnbre vn dn. btan + duht dn = dudv
0gi C + 6∞ t ab3C +3B4C
AdCL sedu 3B+C= vdn + dudv. Ergo A4B Sran + sdnav, = Ad+
AB ASL= paous
3F+C = n do + dudo Ergo A+F +CA = sndm + sdne = vF, C+ F LC+ C, Ct 4P +C
Hinc Bnra n +n. v+ de  sudvt sodn L2) dudo
quo scia au
vtav an  van + duav
3B4 3C+B + 3CAC
rto etu
2B3C = 2C3B + 2C3C
1B2C = 1C2B +1C3C
oB1C = oC1B + oCIC = oCIC
summ. SB(C) = sc() + 5c)
AaBtepis
s DEsB
Aabnc
sulo
etando Ddotanao
3F4C = 3C4F + 3C4C
ntando = ndv + dndr
2F3C, = 2C3F + 2C3C
IFAC = 1C2F + 1(2C
ut Bait constat rectangs ulo
OFIC = OCIF +OC1 C = oC1C Vtd an
s sac) + sete)
L CEICIEesErC sples e. G C otaus verer, epa
setdotu = sudm + sandv
+ 15. G1 C p eG ~ 3 G (Y E GE. C
suidu ar = snav + saAdv
A4BACA + A4F+CA = A4C + s c(C) seu AAB in 4B4C + sc(C)
Ergo Suan +Fdn +snav + bis sandvi. = A +C +. Sc(C)
seu svan + sndo + Sdndv (= A 4 C) = nV
Unde patet figuram post multos circitas cxta tandem concidere
nam aeq. I et 1C, tantum differetat quod differentialis 1 est
ad id tandem devenire quod
quodsi uno ut crescente crescente altem
otentiarum
Nam verb.g.
X un A sit v= un et do erit 2ndu + dndq. Hn si d
Ex hac regula puto eserivari posse summas t
 et ndo= 2nndn + nandn jampere fil Suan= nv- snar- sandv
Ergo ex 15 per ,  1n, 14 fiat: Pnndn = n- zundq-snandn - sandv
Ergo si du constans frit: 3f1Ndn 4 du stndu + dn RN = n
ut v = n ex Et C- do = dn et ex 1 fit per 12 et nnfict _ fra sn nn
seu 2 fndu  Lan 2ndp 1nan + snan + Sdgdn. un. Ergo si an
uis constans fiet, sndn= Lnn = = A dn =  =un - = dn Fan
sit v un et deEndu +dn du ergo ex u fit Sun du +2s nndn F) nand L duB = AF N
posit posita scil an constante sed per 1s  explicetur Indp, fietque  ad e
seu Sundu
ins
15n =  undn = = dn sudn = L p - 1 undu - = undnt  n dudn
seu sundu = =n- = nndu + 1 n dndn.
religuis potentus valet
Haec ergo Methodus et pro
sed videarnus quid fieri possit in progr. Harm. V.=
Ergo ex i fit:  du  San + du=  1
n ntan nntdu
Exhibeatur figurde
subfanhruntur non sibi adduntur duae similes sutumoi
Saesu = v du = Sgestan (X, = S, + hn + Sg+ h + hau et quadiando
Fhor, du =- 4 ghn
29 F2hn 4 han = 2 g thn L ghdn+nlinda sit
sed hoc foci no ut procedut extractio, sed hoc fieri nequit, nisi certam assrimendo ipsu
=2nen- anda . Ergo ex 1 sit
 h. n+ d
pxros ill 
in ren tegan +. dudu
aitu ce astrar + es
is trae t ei
Rectamjulum promotum
pana C. vt
ton corsul telaant et taotnone