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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 1
# Folio 28v, page id 00068125:0056
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proposita minus differeno quantitate quauio data
aggregatum autem quodcunque rectangulorum ha-
bet centrum gravitatis commune, ut ostendimus
ergoesfigura quauis data planavet solida ha-
bebit centrum gravitatis quod erat demonstran
dum
Mirifice mihi satiofecit hac demon-
otratio, spraeclarares est, Geometriam & Ae-
chanicam precaria suppositione centrigraui
catis (quae nisi semper succeosisse deprehensa
fuioset, audaciosima videri poterat) jam
tandem esse Liberatas TA) dissimurandum
non est, demonstrationem tuam nec Lineis cur–
uio, nec superficiebus gibbis applicari posse,
inquibus tamen etiam cenerum gravitatis
Locum habet, neque enimhis rectangula, uel-
alinsfiguras amphidexias inscribes FLVB)
recte admones sed generalis prohis quoque
demonseratio prodibit si figurio curuis aut
gibbio quae his Lineis aut superficiebus termin-
nantur polygona aut polgedra tot Laterum in-
scribas, ut disperentia ambitus polygoni aut
polyedri a Linca aut superficie proposita sie
minor data horum aucem ambituum centra de-
monstrata esse non negabis, cum exrectis aut
planio componantur 9V.) nunc demonscreove
Lim, quoteungue assumptis corporibus, solidio
vel ffuidis, conneaeis inter se aut solutis,
nullum uigravitatis mocum fieri posse, nisi
possit descendere centrum gravitatis commune
EA) difficilis esse polet theorematum tam
Gererasium