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# Title: Leibniz-Handschriften zur Philosophie LH 4, 7B, 2
# Folio 27r, page id 00068646:0053
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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