# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068241:0065
# Permalink to this reading: https://leibnizlegible.com/page/00068241:0065?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28
# Folio 33r, page id 00068241:0065
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 36v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=65
# Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000065.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.89
# 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.

10 Decembis. 1678
generale
Inventum hic theorema pulcherrimum et generalis
HOc genera simurm, et maximi in omni calenlo momenti.
lissimum cujus ope dato divisole et dividendo  statim
divisionis nguontione sive  coefficientes sint
clari usque
n
numeri, sive literae statim scribi potest, 
adseries, sont multiplicatione continua, facili, ordi–
generales nata Eodemque modo scribi potest et
Haecetiam resictun, Unde examinari potest, 
nivenienos fivire liceat Cab initio ustrum divisio
utilia ad
rendosiquo sit successura Exacte; in aliqua sese
divisores tin
et
exsi imicem exhibeant compendra ac fersunctiones
tientes residuo
aliquibus multaque poterunt condi Thectemata
solcem datis.
praeclara. Summi hoc usus erit
in meo sustituto substituendi divisionem
Ajunctis in locum comparationis aequationum.
plicationis, iom imo e in numeris locum habere
sed quonam residu, ergo multi–
Dure scredae
dashedetres Devisionis Compendium
theorema
erit pae
iafinitas,
therremplis potest roc compendium nam in omni
et divisionis
generalibus
omnia colyli, quae alias incognita dici solet habem potest
clavem ad
numero
Huic dam divisionis Compendio generali
arianahabe si
eos compendium mulliplacationis generale
addatur quod consistit in eo ut terminis multi
plicantis reguet per suari lineam horizontaem
em at terminus mulliplicandus per suam
lineam ra oblique descendentem a dextris
. un
ad sinistrum PF L non lo quo
modo statim, scribendo jam se du p primum
e
secundum unum deinde serundum alterummodum
vaera replentars hot modo da ea f
b eb p adters per ca
cec fec
t
mus
c+b+a