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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 124r, page id 00068200:0249
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 123v); this page is its right half.
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vex H  ab V eX + in
 Suppositio tro
II. D al. IH.
summa I. et III. erit  quadratus.
summa U. et III. erit V quadratus
d X
Alia suppositio in iI
II. dX
II. d x- 2)
Summa L. et II. erit quaddatus d2
Diffra 1. et II. erit ... . .. X
1. .. . II et III ............
Erit al i Conferantor singuli Termini unius suppositionis
singulis terminis alterius sppositionis fet
Ien exise er  aa
di muta
al  d +X
2y- d CX  d C∞ 1Z fiet   tdnotZ
la
1v. 2y (+ 4 +X (d - x for VtX p y
unde vex  ( 2x +X evmfx XmnC
Unde 2VX + 2vm + 2xm + m p0.
C +
Fiet Vt X p d - Z, B quadrato ast.
D FX d = Z. Ego v +X  E + 2EZ (
12) firz
FX)H (X + 2XC + C. Ergo i XF v e
fier Z
v ~
a  v-2ve  C4
v1 + v4 NC + et ep te s pu +e 
8ec
superest efficiamus  unica quae restat condition imq leatur, id et
ut 2at 5, vel ya ut + 2al F y sit quadratus. +
sive pd X F V, seu + de fX f r Aragi
.+ du X2 s
sive X +Z debet esse quadrutus,
 Unde X F Z0 - 1V
2V.
.dWC:
ponc re Z+ f, sier 2 aY ZV = 2f
sive 2Y V 2ree
e eque
av 
fiei vc, v Me e c is2fY +2te
Iuan
+ veer
Pone v cCH Y +9. fier t 
p - e. Pone X  . 5i 12
it m
e F2ef pucann.
1A
Ponamus si licet  C BV fiet ZH +
et X B.
n
et
en rgnlg
sive Z
21 
d ai ErgoPorro ( =C in te
et gt  4402
v7tc t etn
2t etse ces iet
Ipp) li 10
Ete artenl + pocndou tor, siet
Et fier VH 2et t L2+ 2P eht
et t
Prezr2e
o
a EAx
et rursus ponendo n  p e fiet v 2l+ +2 p l
- 2 l52pl= p2
Tempis est ut ad Numeris veniamus; ubi primum Drovisum e ut dsit in apus quam X 7272
=2 C2 ∞ 2en  n1
ane jam constat S esse B quam 70  Ergo C. est quantivas affirem atria
debet erro esse v +V, (seu D d. Z) f. si a d’auferatur )  
s seu 2 ept
=2I1-(2- PE ea
esse x major quam CZ
e v ent
 
ergo. V  tC. quod posibo e, esse 1. caeteraque omnia esse num eros veros non
o cone plet  t
= 2X -2m
m +2X m
Num L. al.
Num 1
cujus quadratum:
t e +tpC
p
+ p
a
d1x (q1  . 2Z.
de c+Z
te+ te+h
vse