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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 121r, page id 00068193:0243
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duct
tent
M,
2 et
oleo
e
ta
ME
iteb
porus
tita
olida
ent
riuso
De Quantitate Motus seu Impetu
angulum rectum facientibus volumine AB, densitate B. N,
et vigore 1A3 A contentum.
Prop. 5.
Si densitates sint aequales, impetus seu quantitates
motuum sunt n ratione comporita voluminum seu ea
tentionum mobilis et velocitatum jusdem mobilis.
Nam si dentitates sint aequales, impetus sunt m ratio-
ne composita voluminum et intensionum motus (per prop.
ns
4 hic). Et, si denritates sint aequales, intentiones motus sunt
1175
ut velocitates mobilis (pr prop. 2. hic) Ergo impetus suntm
atione composita voluminum et velocitatum.
Haec propositio jam recepta est apud alios, qui impetum
seu quantitatem motus magnitudine mobilis et velocitate
aestimant, etsi eam solummodo de motu aequidistributo acci
pere soleant, non arsveti velocitatem quandam certam mo-
bili assignare, cujus puncta diversis velocitatibus moventur
Quod nos facere, et propositiones vulgo de motu tantum ae
quidistributo intellectas, generatiores reddere operae pre-
tium duximus.
p
d
generaliter, si mobile euus magnitudo repraesentatur
s
ita d fer (Fig.
)recta AA, feratur velocitate re-
maecentata per rectam 1A 2 A, vel 1B2S, tunc impetus seu
B
quantitas motus (momentanei) seu summa velocitatum
et
nn
(
atione composita laterum; itaque impetus 1A2B (6) est
ad impetum 1L2M (20) in ratione mobilium AB (3) ad LM
F), et velocitatum 1S3 L (2) ad 1M2 M (5); et si magnitu-
do mobilis seu volumen sit 3, velocitas graduum 2, im-
petuo
un
os