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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 123v, page id 00068200:0248
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 124r); this page is its left half.
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1) Nun et 1 L. al.
V) al -X 11(. al - X - Z2
25.
diffra 2di et 3.
Diffra imiet secundi e 
fier X +Z1  (∞) + 2EX + 2Ef (+ X) + 1Xf + f2
s)  quadrata a c c + X +F
sive ponendo 2ZX + ves  = - X) f. divitisque omnibus per X+f fiet 2C  -2
s
Summa Numeri l. et Idi 2 al - X pd
XH + 2dg + s. far d sioc. Z A + 2d9  a He n 7, 13. 2 
d- y~
Summa Adi et Isei  quadinto seu ( Z -x . (d + adh+ h. Ponend,
isdiii sive prod substituendo ejus valorem, fiet - s m X 1 Emha- hs n + h~
Spp. e 2
nnt
o qu = X
Ergo X H ad co + 2gto + E sive =X ei 2d 3l + 39 (F B X. D.
Ergo XB 3. am - Z H + 2dg + g fiet : - d g - g  2d) sive g1)  p. Hoc valore ipsius
552. EBI.
vH2. g. inserto in Aeq. D, fiet -XC.
du 10
22 2 aequatio C in qua proz. inseratur ejus valor dg vel 28 p
sioe 2HZ
d,, 0 +ZH2+2
fI - 13
dX F 45 1 df + 2Xf. + c2
sive 3219 N 16 fier . - -
ejus quadratum
1681 p s 1178
2257 Num 1.
2462512
d e7 - C
1B Nun H. 
 Z
H
q
N 
22⊓ ∞1 et 2781 dine 34
=A 2- 13
---
f) r255+ (
- F + 8, fier 451 9- f. 1x
26. - s21. 13 +
atct64  1
1681
225 7
iios
Ergo = Xus py 2de4 + 2le q +qe
osi
va
eone Xp) - F + E
  ay. Q, fr  fier
=518 +7. 5), 3f(
vex H  ab V eX + in
Ego ipse yt
M EI
= X ( p a de XY + 2CXY + rX sive XB 12der X + 2C
275 +fd
sumum pntri trimi Num t al secundus at X al. tertius ~ N + al  ded- ler
summa prm et tertii tertus a Num I. al. Tertius semndus Tutius at X- al. secundus Z. Xtal
ita fit; ut summa primi et tertii item summa erundi et tertii sit quadratus.
si intelliguntur d+ V primus, d  d y secundus d - y - 2 c0, certius
reliquis duobus qualuor conditionibus erit satisfactum, conferendi ergo singuli
singulis, erit al e d+3. secundus 2x d-y confundus cum tertius:
Tertius 29- 2X 4 d +Y. conferendi cum reliquis, secundus secundo tertius certio,
si conferatur secundus secundo fiet aequatio inter:  2x)    () er 2X- d C7
et fiet aequatio inter d et X. Erit ergo prinus Terminus ) d +Y. secundus d= gr X
Tertius az. d ag
d + sy F= +co sive fiet Z
V+ co
C + +
e 1  f2
Cadis cexosa hs cu e re. cB). uro Xr eg agle, Cn  facap ola it q Rrepetam
45
2TI S1tq Bgra
+li + 1
A + (seu ge + _ 212
alg+
unde vex  ( 2x +X evmfx XmnC
Unde 2VX + 2vm + 2xm + m p0.
Unde V A
= 1 2V
Inseratu hic valor ipsius X aequationi O fiet: 4ZdeY +rerla 24t)
-1- v
sue fiet (Z) + y + Co  d A (2) + ZC + P, on fiet Z
2 
= 2X - 2m
m +2X m
2562
cujus quadratum: