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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 1
# Folio 8v, page id 00068214:0016
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068214&page=16
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# Lines: 193 recognised, mean confidence 0.66
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Senognatio tungn rimans wergn linge huge. dtarto ed in e  essno
eraggigo nih edpritoen   2h neu rrg ebte
Inhnirssans maguns uin hego dun
uo onosus nn
CA + A∞ps t aesC + S H p + b ∞ :  2 = (9)
+V
vet 3. av + es so V a + es +D V, (o)
Gpum6) Cumen esqa mot uno 3 cab t 1.  Eb a . f tx  vf b1d 3t podE 4  b∞ f n eF o aeoma e 5 18 r eb 0 1 .4 00 ogero
rugaob. e 69 3yi. ih vigm in rngmen sgoelis epusir Eucuan cunun,
Xe E XegbuC xquo.C
much et gnaechgus envcton e6) angonn de monguavet
en 02 cynctio suns apun signeto humpss
- fd2 3t m. dd qur v d. qu +
- equ +. - 1t
flo+ Xodo rX3dr C
d
n
Agu2t odeq+ e+
V+, at. 3dp .
P
olt
fdp
hinyen iuguuad guaquation nab ut
=regbvc+. egtt
ceb. v +. faeq vit
fd quv
fd. vt  dBt.. du eq v2t
.9b8
... 3d. 9d
EF.D+) X otd.E+ X fE + X~D
edO
fet X0 uae ust 3 Emmu mobus eas
-dd. P. V + S... dd ez. D23d N 1
 40). 1. bd in aenrigetyus soraqua. K 10 s mmvsit. sacB
N 1 + ovr X3C F e X 3t +, X, 9 +
fed+
fi XE+ f
∞ D. D + X3, Xet X3 X 3E + X 
X
fo + X00+, X. UC
EG.) m 0
(LD
ruoy 0 Aeneignatio ms agiui gu cmmeditus es)s anmogati
invon engerat mn mng veragen do Egurgn nect mugut ggnestain,
ea rusnanlas cmmert rigumpor nen et mses megoh nod oo neans hib
moe uerr e euggonequati ingnt ho Mlorre nen Emole i 
mtd vics naro inn semne nnuas uggurenat syoncuva.
t ux so ie 3o quim apum morgurigoa Ersit atera ets
Repetatur idem calculus novi rimus
 X
cedines securitatis causa.
anue X. AX Camqu X p. mqa
55 Eo
() Ax 1b. )
et ause- 3  5c. + evs - b0 f - H e t ebx + ab, vC) (Cd)
ex +i vocgum hunctio) rr). 6. b 2
()EEt  es DE+ ... 9b0+
Sdeznt de t
... 0d9.∞
. f.de5 + .av ...
f X fovE + X B vC + X Sd V9t, X F     dE o
1∞C: 1o
gmex + Xq in
ingumetdu
pnset
.S
+
: 10) red + eb  + b, v = H3 1 ( + b ∞ = + V7 mvc
guogue ur uor
∞ + 1.03SE∞ a0. d FE + C if - V 9) (2d
350r0 l.3  o)av amna. .  - b spurt
P~ D) 6∞: +
lv2
5 D. d Fc+ 3Si + f V (C∞ B ∞ -) u) C s
+llg. f I 9 + u + X E aeurued ∞:  aemogu pait 3 + d + n + X in H 9
:dert ∞qVd+ u+ X : 13) or 1. L ho sipunt do deun
presto in Nnmnu vah BEmiguion iu+ ay + X  puvego 1
Emuea + Bp canquaenat oena. 5 hniquiea  monigui
  9 auriquona. 9 mogigue mnceng, ossumn sartim men un
rupancuntum hqu ud ra
Turnam Nmmor cent. Cunque sorqua dan votet sigi taam ex
sut) uo adt in omus rnrio Eeglum pr) nem f. d. 25) orssez hmos)
p + Xy + XBs + n + X in HK
tris 6. b0 2o mus. a H p -   H v
qu Il so  n gu eti
so
6 H3
(0)
Eeg
mal losui vbus Eremus nis
t X C + X  G +   X  (s
N +
X 3 572+
b
r
292+
. v3
I+ X L9St  (8)
:1) cymereae. 2. ho L
2)
E e
H6d Ho
dilr Lingouram 13o K ine mmresmtaru inoap ngurenat ds B
dho pbv + p - do tb   poB + BBE- (D) WK (d
10 murgorido ragisnc inigu d
Tay o qu rymnt  de octcunvus mher ut mnn
ngnenAt vign
nque ib out otrutat in tum megni nun one iuus tivegnalio sus
ut) ave orignus cmcosuuri
1g s mnumn o. utruastu, u) rosinus n as grotad Eecapta reru vrogus a vr  aea. A ). e1. Lo Zi typsao Equiti (9) a. X lt Et  + 4  5E = b  f 2 + ab o hamge
ar 10g f, wont po mnun Egis. P pa f glureo cumrnvasgm aguro
sda
Himnm
on
g eis i ines n uggg
EV
ny X, + apmu
e
ind
 anu
si  a cana
omoti
1
angnu  amnqe. x rera sst
hujus aequationis ut tollatur Terminus
ponemus
XF
adet
u
2
es
e
et X e v + pY + 3C PF C, e fei.
repete
(
et
ang. 7Xamu e
taris. ame
Eeitio
8
Pina
mqni
ampn
in
tin
tane.)- 1dam
Quae aeqvatio ut Cubita ut Geometite  per Mesilatum explicabies reddatur, tantiu
opus est fierficipani 3amp - gamqu, - p n quantitatem affirmativam. Quod et
fiat hanc for mulam aequabienus cuidam quadrato, fiet: hamp- gamqn- pn  tia
quam tentatcuus explicare in  se rationaliterquaerendo alterutram
m, vel n. sed quoniam ea inquisitio futura esse  proligior ideo ex aequation
formata extrahamus rudicem, videbimus quid opus sit facto, ut extractio succedat, quaeram
prtmum n, per. n + ganque n + 8iam a  hi nam p + biamq
adeoque +n + gamqu Y  - 2ami p3 +81 a m q.. Itaque st invenium hoc non
itique ponamus rusus: - atis  ani pe + 8 a m q p  at i ex hutania est, esse affir
et ita fiei in r
E
se
g +tiator
recesse est ham quantitatem
181 a4 - n spd se M, (V a 9  h p. sed cum p sit quantitas
8iaq + nap
atur etiam quadratum m aequari quantitati negativae, atque ita Geometrice
exhiberi non posse; nisisi2aq sit  4 p3 seu B pP s Lp I.
eadem ergo quae ante redit
terminum ultimum ponere nito
determinatio. Videndum eu
aequalerus sed patet id eodem mode psuitims aequatum
idem calculus, in quo solum
Et
v
enum
superest ut videamus an loceat ultimum aequationis vdea–
un faelre p. Nemre _ in + 13Fn   p. E M +  12 H0. ponne v ep -ZP
plicando producetur aequatio carens
in
1ib
+ 279
ejus autem tenmin
1pin  Ao B   quen , ponmm 1. perorpultio a orp
7ac
aeiau in tu siti 3 et cor. ie somepio es n purtacu ih
nempe v
regativa,
un
uni
ut 3
nempe a
a: L- ide
 a. con
venis cum
inventa
dentu e