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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 113v, page id 00068124:0226
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Notetur differentia
P. Vnn
et h mn
y, Htb, yte, aequ. Ato
Not.
y = h smn thimp Tonp ta9,: Asmnt aompt atup + g
seu compendio y = simn +aq: asmn +r=pamus peu
nimnum
nter
seu y = EBq aC: D ytb, ytc = yy + b y + bc = au 00 + ab D + FbcDD,: DD
hS
a ag9
bc rr
6s agu
2aq si imn
+Ehtipmn
2b04
2b5h)
ragt mn
2bcY)
ir 2Y smn
aqr haom
 eq. Bto ab asum +at
∞ qunu + raapsmu +raat sum
aat
fiet phi aberbr = na autt - aaque +be rr+ (bHC) aqu
et at + = Btagh + ber + (b+ C) hr +aq)
caque seu aggysis + bbl ita haberi po verb. gr. Y.
bbar
Jam superest ut y aequetur Ato seu aO: D seu aOD: DD
similiter
et potatu
b gre aequemus Ito. hic  hmanes
gy g+b, ytc, = 17 + by+ bc ogec O0 seu aham
Ergo eb, ytc  aa Oa
Ergo _yy + Vy abc =
t.
a 6)- to ab ftmn + ag
OD arqu. ito
Ergo
Generaliter sit mm+ 210pmn + 12Ima ∞ eto a 20 tma + 2t
fit 2 = 20. 20 mn + 21. 21 + 2. 20, 2opsun + 2. 2 21 sun
fiet 30 = sio et 21 = srNr et 12 = 2 11∞1 AV
seu
Ergo quia quia yy +by +bC = Bto fiet aq ob n = 2a (10 1D) fiet aqu 2bcr+
tiet 2agh + 2ber + Hque = Z S, hh+ bC + (b +C) h, aa qq +b. Vr =+ (b+ C) agr
Et quia  ODquo, sit Erraque- tr seu hbrrtahgr  naquu = 4ahqu
et fiet hr-ag, quod non licet.
u
Uende
insit
(4aaque hh) + 4 agh brC) Er +a) Baghber + 4 agh bc) (Erst aq)  4 bbcc rr) + aber brC) arbaque
Y (rC) + 2brC)rtaq) + sarrt hY bFC Chtrr + (Ehraque + aa qq)  ht +bc + (b+C) h, accgq
4auque hn taberrkk H(gb+C) aqu hh, +4 be aaquue  beberr  bC (b+C) agr
Gbr hagr
H
N
seu sit (8 abc hgr + +aabsique + + aachuque + abbchrr + qbcchrr
+bbhtrr + al bb g9 + Cchhrr + aacc qqF 2b Chhrra
= Dbchrr + (4) aa bc g9 = 2abbhgY + 2 acc hgr ( 4abc hqr
abchs + acabligus Abbchrr + bb hhrr + aa bb g9 +trC
e
V
erunt 6 con et quia harc assurgit ad gradum Etum
c.
unde 2a, Ebchar - 2 a vb...
bec ... + Cc
= 2bc....
hinc prodeunt saequationes clentificatoria, et  opus literis  artitrariis
0
-ce.
ce ...
faciam
facillim res,
R et q et r esse gtantem, vel saltem si sit . Quod si solum h
literae autem arbitrarcae sunt sex in h, r,
sit constans, licelit non assurgetur ultra XX, et habebrimus literarum eo
aequationes identificandas 3 literas identificatorias 4 ex Y et g et unam
Ieque nnon d videtur difficile yy+ by+ bc
 aequare Ito, tollendo sine explicatione ipsarum Ep.
itaque  aequanse quadrato  hoc modo
praeterea h.
oritur absurdum. Nam fit hrtaque = 2 sahar seu hh rr +aaqqt rahgr- Tahgr
seu e hr= aq, quod non licet, nam y fieret constans.
Ergo utDD aequemus Ato aliter procedendu. e latue qti sit hom 
fiit etue 3om + us 2302V m 30. 30m = 2. 30. 30 mn
conferantur. Tit hmn +agr ∞ 30. 30 m. ubi oportet inhmnaaqu tolli tolli XX
aursus
sit m = 100 X + 101
ihp + hr + aq ∞. 2. 30. 30 ubi oportet in rhp+ hrraque tolli X
00. 200 XX  100. 200. 30, X + 101. 201
n = 200X + 201 p = 300X + 301 smn = h, 100.
200. 300
Y= 400X + 401
0. 200. 20)
200.300. 101
q = 500X + 501
agr = a quo S00XX
400. 501 X + 401. 501
401. 500
sedita deest sabis aequat literarum non adest, us Od cun quadralo
ecm opus sit in universum aeg4.5.
Anergo sic potius ut latus ultisitemtonro
et quadrando fit 3030 v m + 2. 30. 30. v imn R sed videm rem non sicere nam frun in istud
lacus  si ducutur prodemit asumup. Sisi tentum suprsit incognilae, ut hoc possit tolci, utivi desque
21 est variabilis
seu continens x
regulanter