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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 100r, page id 00068193:0201
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m
def.
inim
n
De Velocitate m universum.
percurruse longitudirum 1X2N; ett 1C2C ad 1N2 N ut velo-
citas in AB ad velocitatem in LM; et est 1N2 N ad 1N3 N uc
tempus TE ad tempus TP (per prop. praeced.). Ergo 1C2C ad
a
1N3 N in ratione composita temporum et velocitatum Euad
3
si mobilia AB et LM sunt aequalium voluminum, etiam spatia
n ratione sic compositâ erunt, quia (per defin. 2 cap. de Fractus
spatia tunc longitudinitus sunt proportionalia. Cadem vi-
cisum locum habere mapifertum ett, quia et propositiones qui-
bus in demonstratione usi sumus convertas habent.
SCop. .
Spatia percursa a mobilibus suam velocitatem reti–
hentitus sunt in ratione comporita voluminum cujusque mobi–
lis, velocitatum, et temporum impentorum.
Sint (Fig. 154) mobilia As, CD, quae percurrunt
spatia 182B, 1C2D, temporitus d et s velocitatibus GH
s
LM; Ajo esse patia 1A 2B ad 1C2D in ratione composita
c
voluminum AB ad CD, et velocitatum GH ad LM, et tempo–
C
nc
rum S ad P. sint longitudines percursae ab AB quidem GL.
a Dvero LN, Spatia 1A2B et 1C2D sunt mratione compo-
sita voluminum AB ad CD et lonvitudimimo GHad L N (per
t-
a
def. 2. cap. detrache.) Sed longitudines (pen prop. b. hu) m casu
velocitatum constantium sunt m ratione comporita temporum
5 1 =B
ad P, et velocitatum GH ad LM. Ergo in easa velvutatum
conttantium sunt in ratione composita voluminum, temporum,
et velocitatum.
e
Edp. 8.
n motu utcunque accelerato conservato aut retardato
tem
qui
alet
Ne
oe
L It
B,C
LX
d
iptus
ag
eoi
ut
SCas
As
V3A
nsto–
is s
per