# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068201:0452
# Permalink to this reading: https://leibnizlegible.com/page/00068201:0452?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 226v, page id 00068201:0452
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 225r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=452
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000452.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine
# Lines: 64 recognised, mean confidence 0.77
# 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.

Resumumus:
Y +at. Y  a la
Et V⊓ S0 l
2a
tar PX
vli
B2 a a Sa L a sp2
sive compernii ausa y B 0 NL + ade a  - a d + S0 N l = ast 3S = ad: porro coytot D at
2a
Ponatur jam:
2a
a27at
+4 7a2
b   = ad f b - E 1- ad 53. fict anteonnia: b -  a  atio
D
sive 3a b +C d pi Ah X2
Dc reliquo unam ipsius  expressionem vel ipsius O cum altera comparemus, sufficit autem eligi unam, aut potius
fignis aohibitis ambignis altentram: V cubetur ergo b +E. f - ad. fiet: b + 3bc s- ad +bE2 ad  Ead)a
sive +ba
it
+ Ilica Y- ad
ed..
a .
Unde duae aequationes: l , a b = 3dabc
et altera:
Et jam supio habuimus:
a N3 3bca = d B
hae e 3ab +3dc
Unde sequattur: a   hab hde , 3a b +, aede
Unde jam: 1a3b - 3d ae bc 1 34 lbc - l d c3
sue:
a b = 3d ae bc 4 3a l b c - 1d C p
ponendo l esse B - 1. fiet b e c sive a b + 3 albC - 3a dbc - 1d C2
Si l. ponas sequantitatim affirmativam, signa instar cubi disposita erun
Aliter.. N+ F ab + 3d 3b ca = dC. Ergo N p, 3b cah - deti
a N
3ab + 3dac
et s p, 3ab 4yde H aeb - 3dabc 36C a - de
as
porro:   d5 a b - sl ( e 3b ca - a s
3ab
fiet (bd = sel c  (9) ab ca - 3 a set
pursus 4 2b ca - a N
A
nN = 3 ab  unde (9l ca - 3a N  ch 3abC
31
est autem et H. arbitraria, sam ergo explicando satisfactum ert uni aequationi
explicando scilicet n, quam includit. Et quia in altera aequatione non redit p
tur solutionem haberi planam: imo orov.  L. scilicet ingreditur ab altera
parte quae etiam continet M.
Dantur autem duo valores C, nempe C ⊓ 3 aN b
unde na l (+2 + a b.)
2 H-B Hm
3L 
N3a b  nba- et
 h b X
; H +3L in A+H in a
separetur haec aequatio in mas: sed non possunt distingui ut sunt
tieit. 3 set - RY L a + : A2 +3 Lm + Hna b
13) 1d 
2
ideo haec explicatio nihil praejudicat, caeteraque sumi pro arbitrio possunt unde sequeae.
tur mei
Hm