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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 119r, page id 00068193:0239
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It
et
1A
Ve
pa
e Ve
A2
qu
De Qvantitate Motus seu Impetu.
seu mobilo AB dat rectangulum 2A3 A aquale figurae
C
ADS impetum repraecentanti. Idem succedit in mobili Ads,
maequatis densitatis; ut si (fiu.
)ponantur densitates
punctorum B crescere in ratione distantiarum ab A, adeoque
moles mobilis repraesentari per triangulum rectangulum ABF
et ejusdem mobilis protractio (vel elementum tractus) seu,
quod idem est, summa velocitatum in volum en ductarum
repraesentari por triangulum rectangulum AssD, cusus pla
um sit rectum ad planum prioris; impetumque cujuslibet
puncti B repraesentari per rectangulum Sd LA, adeoque impte
tum mobilis AB per pyramidem ea tus reitangulis confla
tam ABDLF. Et sumatur jam recta CE. talis magnitu
VC
dims, ut dacta ipra normaliter in molem ABF producat so-
lidum prismaticum seu ubiu aeque altum 1A3 A3BMF2 B
usuo varis sit moles Adst, altitudo sit celeritas CE; iitq
s
3
solidum hoc prismaticum pyramidi aequale, adeoque recta AAB
motu aequiditritato 283 A celeritate ut CE seu 1A 3At nce
dens eundem impetum habeat, quem ante cum motu cireu-
lari moveretur; hus positis celeritas CE erit intensio motus
eu vigor: quae etiam erit media arithmetica inter omnesve
locitates moli ordinatim applicatas, seu inter omnes rectas ex
pyramidis hedrâ AD L in hedram Ass f (quae molem reprae
est
sentat) normaliter incdentes. Suo autem loco patebit ve
locitatem CE, qua intentionem motus seu Vigorem mobilis
exhibet, seu quae ducta in molem dat impetum, esse iptam
. 1.
velocitatem centri gravitatis, quando ommia mobilis pun
ita m eardem partes tendunt, vel saltem (etsi non ten-
dant in easdem partes) quatenus motus eorum quincunque
com
si
abur
etum
lam
ibao
ac
qua
po
ita
m
31LF
oppra
uet
ns
Mo