# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/47416/text
# Catalogue record: 47416 — [Plura similiter posita simul aequivalent uni]
# Incipit: In isto calculo nihil aliud adhibetur,
# Date: 1687-03
# Akademie-Ausgabe: AA VI,4 N. 180
# Other printings: Couturat, Opuscules, 1903, S.250-251.
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=47416&katnr=53839
# AA VI,4: its series at Leibniz-Forschungsstelle Münster (online after accepting its terms): https://www.uni-muenster.de/Leibniz/seite5.html
# Work: https://leibnizlegible.com/work/00068646
# Title: Leibniz-Handschriften zur Philosophie LH 4, 7B, 2
# Folios: Bl. 27 (from the shelfmark LH 4, 7B, 2 Bl. 27): 2 pages, canvases 53–54, page ids 00068646:0053 to 00068646:0054
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068646&page=53
# Lines: 91 recognised on 2 of 2 pages, mean confidence 0.77
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 27r — 00068646:0053
# Source image: https://digitale-sammlungen.gwlb.de/content/00068646/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
cognoscere utrum duo habeant aliqu
commune quod insit utriu et invenur
quoduam illud sit. sint A et B quaeritudam sit aliquod M quod nisit utrique. Solutio
fiat ex duobus unum A
stituentium e
quod sit L per post. 1 et ab L anferatur unum con
A. possul. 2 residuum sit N tunc si Nonicidit alteri coincidentium
B, aihil habebunt commune. Si non coincidant habebunt aliquid commune quod mod
nietur si residuum N quod necessario in est ipsi B detraratur a B per post. 2
et restabit M. quaesitum commune ipsis A et . g.
A A+B ∞ et A+ N ∞ L B et N habent, aliquid commune.
Residuum nihil habet commune cum detracto.
B
ad incommumcnalia A 4 B
ALN.
si A + B ∞ A erit B in A
fiat G+M +H+m  G+ M+ N iErgo N∞R.
 reductis orbis
AN G+M N
si quid plurimis positis nnt remotis coincidere
neunur constituentia
stimentia non quaa
slocosatatum
+N
in colligaturastnoi
fincoia meistentiu sunt con
Etiam quiddis per quodlibet constitui poest. ut sit
si uA
fiab. per pest,) +N∞
siut incommunicantra fiet fan. sin communitantia sut suo ut A et B
constituedum pere
et B consitui debeat per A. atrens A+B ∞ C et posito ipsis A et B. commune
fier A∞C= B 4N
Hoc problema puosupconralim problema de
inbeniendis communibus existentibus
1

## Folio 27v — 00068646:0054
# Source image: https://digitale-sammlungen.gwlb.de/content/00068646/jpgs/default/00000054.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
en
isto callul
nihil aliud adhibetur, quam pro inexistentibus quidem, ut
plura similiter posita
a
aeroeam
sil aequi raleant uni ut
B ∞ L su ubi A et B eodem modo se habent, et pro ambo–
ba sic scriptis poni potest unum. Unde huc redit et si poneremus
1
et
ABX
e
nam signum (+) mihi non significat addetionem ac
si  
inc
sed simpliter designationem.
 et ista applicari possunt ad totum distutentivum. um
aliquid aliud
distributivo adda comparatione olitur unidessale si corlection
i
vosituinet, sice st continnum
∞i 
auo
diversi
oet po
tgnis, et
opt
e
seu a
verbi gratia
quasi nihul plane potitum fuisset, ta
Termini ponantur affecti
1
s muruo soltut
b
C
ut
e
et id aaquivalet Nihilo
u et ita patet qua
detractionis seu contrarictatis nihil aliud est quam exrectativa
alor
luc
un ponendo eos comlidere
siguum dicitur
ponamus B 
d
 sublationis
signiticat
P
+M
ut
or
si nihuil communei psis  et M