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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 13, page id 175906937X:0037
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=37
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000037.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.79
# 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.

operacio
Mll
la
t
1 alttela
lividen.
=C, hunE
quaesl.
Ab.
lic. b.
L a,
D HHCd
cemin
criben.
um lub
A A Md
beet
iplicno
c. + bd
AO; est
A quo
NI A Z A E SE OS LINLVERSAL1S.
ac ad, subducendum ex diridendo, e relinguitur o. Deinde
dirido - bc per- L6, d oritur - b, Tub linea scribendum in quo-
tiente. Ouoniam autem mulciplicato dirilore s -d per -- b, EF
productum = b0-fbd, e co ex reliquo diridendi ablato, re-
manet nihil; paret dirisionem esse ad finem perductam, ee quo-
tiencem elle a -- b.
Sic etiam ad diridendum aa-- 2ab (- bb
Per a b:) aa ab
O- ab
= ab- F bb
O
Ac quoriens a- -b.
Divido primum apera, de oritur a, Scribendum sublinea in
quotience. Unde mulciplicato dirilore a -b per a, _ ablato
producto aa - ab ex diridendo, scribendum eric religuum - ab
Sub linea ducta intra - 2 a b. Deinde dirido - ab per  a, _ HE
=b, Scribendum sub linea in quoriente. Tum ducto dirisore
a - b in = b, Hc productum = a b- f bb, quod sublacum a reli-
quo diridendi relinquit o. Pt erie operatio finita, ac quoriens
GuaeSICUS a - b.
Eadem ratione si diridendum Sc aa - bb per a F b.
Divies
d d
Diriloa Fb) ia
Incipiendo rursus a primotermino, dirido a apera, ee habebitur
a Ccribendum sub linea in quociente. Unde mulciplicato divilore
a. Lb per quotientem inventum a, producetur a a L ab, quod
Tublatum ex diridendo relinquet = a b: e quoniam hic FerMINUS
praeter superlticem = bb ad diridendum huc accessit, ideo postli-
neam ei adscribitur. Deinde dirido- ab (nempe id quod modo
ad dividendum accessit) per -  a, e habetur- b in quocience
Sublinca Ccribendum. Ouo facto, si mulciplicetur divitor a- L b
perhunc quotientem =b, exlurget - ab - bb ad subtrahendum
ex co, quod relinguitur in diridendo: quod cum post luberactio
DeI
ab
Duo
a a