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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 203v, page id 00068193:0412
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Sert. VI. De Concursu Corporum.
mum in parallelis ostenderamus, et prop. 17. cap. ejurd. ea tatis
solis considerationibus Geometriae in libero corporum non con per si
currentium motu eruimus) punctorum quotcunque adeoque progr
et corporum lineas rectas motu uniformi describentium cen
frum gravitatis in linea recta motu uniformi progredi. Et
quidem eadem celeritate, qua tota massa sublata vi respe
ctiva pragredi debet. Qvae celeritas habetur vim respecti-
vam (ea prop. g. determinandam n singulis corporibus,
adcoqi et m toto) detrahendo a vi totius absoluta (pen
prop. 11.) restabit vis progressionis, unde ea data massa
corporis habetur et celeritas progresionis hujus massae
Coeterum hu progrenus centri gravitatis totalis non mu
tatur a corporum concursu, quia iptorum concurrentu
(in quibus mutatio uta credi poscet) centrum gravitatis
a concursu non mutatur, in quantum enim m se moicem
5
agunt, agunt per Clastrum (prop. 6.) quod celeritatem re
spectivam (veluti velocitatem a ee invrcem recedendi) m
ter ipta distribuit propontione corporibus receproce propor
tionali (per prop. 2- et 3. huc); at quae ad se accedunt vel a
se recedunt celeritate reciproce proportionali, eae hoc locum
C
centri gravitatis non mutant, quippe quod etiam corporum
distantiam in partes secat corporibus ad quas pertinent reci
proce proportionales. In universum igitur corporum per
s
c.
C
c
se (seu viprirtina retenta) et libere (sine retinaculo) adeoque
2: 2
d
lineis rectis et motuunformi motorum centrum gravitatu
commune uniformiter pergit in recta ad eardem partes, sve
corpora haec inter se concurrant, sive non; Idemque est si mos
tus etset propontionaliter erescens.
Porno contro gravi–
tatio
Nam
mod
1C2C
unifa
recte
telas
ducr
via
B,-
mot
2aL
tita
et q
mus
stit
hoc
min
de pr
pano
sini
COr
Ab
a