# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067992:0024
# Permalink to this reading: https://leibnizlegible.com/page/00067992:0024?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 12v, page id 00067992:0024
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=24
# Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.81
# 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.

AInC
 usum quoq hut siona ambiona, et suo
loco pat ebit ambiouitatem in calculo esse fon
tem irrationalitatis; itaque cum seribo X = 3+ Y4
a
tunc id pt explicari tam per 3 + Y4, seu 3 +2
seu 5 quam per 3 V4 seu 3- 2 seu 1. Adeoque
erit X =5Nd. Nam ut tollamur irrationali
tatem sit X3 = Y4. er0o XX - 6X + 9 = 4
seu XX - 6X. 5- 0 Seu Xx +5 = 6 X ubi pa
s
tet satis facere TamiX quam i Nam si X valeat
5fiet 25+5 30; (in X valeat  fit 1+ 5 = 6,
introduxi et novum oenus nolandi procaloula
s
differentiali et sumdioro; sit enim sertes
repsentata pers
ub abseissae +B nempe AIB, AZB, A 3B g
 sionisicant locum n ferie; seu numeros ordinales
ordinates. Sed ordinatae s C, uti 1BIC, 2BC
AE
soba A+C _ BEC 3B3C
ipsos terminos serieie
seu abscosamn f 1psos
ea sio
jam
 eD Quam ol oeno
a
S seu ordinatam
appellave vocemurx et DC quacuque ipsi X
respondentem vocemur y siplacet adeo ut
X sit e.
his positis jam porro porsumue considerare m
crementa qdam seu dufferentias.
tam m abscis
sis proximit qua in ordinatis, c0. differentia
inder duas proximas aberissaeju
e
A0
d Le
est 12EB seu 1C2D et diferentia inter duai
proximas ordinatas a RIC et 2B 2C est 2826
Similitere
differentia inter duas alias proxima
abie q