# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0217
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0217?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 109r, page id 00068198:0217
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=217
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000217.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 124 lines, status machine
# Lines: 124 recognised, mean confidence 0.63
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

isi
6S _
metra: msta
de83  1t.
v
1
toi
egunarb
buns trusanaebui
on
dou
s
v YX
1
1+ Y + Y
ut
vis
i
x+
2+2
Lho
ut 2H
da Lti
N v- Rov-
Ao+ A0o+X
ct + ( + X + L)
vo-AX
R 
solidum redum posse, vide schedam de dato lut. ts
duci possit ad quasdam sundesolidas pro sovenias. sit aequalio su
fet X + sd X +10 X + 10d x + 5d F X = 45) vel ponendo d f. serte
+ 2g. + bd 517 X +5fXExIoSX 10FX 455 TX 4 fS XB
4
+e
ent
+b.8 +be 
+c
+ vk tsvflo +10Vf41oB F +5BC X + BS
Nota si huy aeguitionis podact Huminm ottinum tolere vellemus ponerencus fisse merer
+ro tvbs
inde aequatio: x A  t. Hinc jum ppi 5f+B.5Bf. ar1 2f  1vf2 et
2C
u dB
12 psiI
et vc
5
d
+vc.
Et
ve A DevC
C2B et erE  b2
sine Cdel eir nend
c
a
9 Unde dinis ae quatae sbi sursob qualiter interrnita, in qua quadratr demini seun
penultimi moditum sundesolido ultimi facit 0, ad  solidam reduci postest
Alqui hoc sempor videtur praestam posse ope susolida purae. Nam si sit aequatio v 4 Y 9Y +G0.
s
surbumus ( yi  X X f X + =9X + h 5. Jam C+ dp 0. sergo C necessario quantitas
14.
X + bXt + Cx + dC
24V+co proy+ 9y2+Y
P.
negativa, for 
ergo etsane
L V y + cV + d:
I
820
a nantie
si
auta t
id utet C. H
b+ s- 1 + b Y.1 semper inveni potest per aaiuli sectionem non h.
l
red
_EBX + Cx dX + d P po
 INi mota omnes aequationes intermplas plasimulice e  
muntiplicatas fieri plenas. mod
sd qud si sic: Z b+ Y-1 + b - Y-1
d
sed calcubu fit nonis proteu
25.Df4 + L fabn v 100f = vb 4200b5 =+10oPf+
4 3
C8
4
ne  d 1K a B
SM. 5+4- b iors u p 5f t B aeC 1
3+ 20,b P it 45, 100Yf5 do  gorsu
c
erit confecudo pe v. aN B YF  se 
egin
-
i
 +3co
y. +  33 + 3c8y +c0 2) ps  + 3c0 
u
3 + 2C0Y) +C0 PV4+ 2c0y + qu+ry+ poni
t
co2
H by + 2bcy3 + rbdV + 2cdy + d. Ergo bp, sp. cp 2c0 +F. d 4co- 4 cot - F,  2Yp
4
2YP
sive de 49p - 4co- 4cot. F et rCdp a9p 2cor -( 2cocF  Y
.uP. Y P.
Sp2
AP
denique d p 16 qu p - 3rco +F +  o t Y s+ Co sive 1C0r trIV. fa  et cor D - t
64 p
et ubique inserendo ita stabunt aequationes 
inventae duae:
169 p - 8 v + vY p, 64 sp +  16 v - 32 vt + 16t
et 49p - vB opr. hoc s qp. V4Ar 645 p + 16Y -32 v + + 16+
sive ap r 4vsp + Bt-  _t + 1v. sive 4pr 4VSp + 4qpr. 8prV
Aqp opre
44pr. dp r
=sqpvt + 16p rt + f
et vp + opr Y
at prulo ante v n 4qpB= PY. B Y = AP. et 4g pB. Spr  A _D + AV. et v, t 8gp v - vp res
et erit vy Ex r ∞A
499 - 19- 2 R
Eago
l
A
nor. per h per