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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 76r, page id 00068193:0153
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pe
r
gt
A)
s
M
im
p
ItM
MM
L
ret
Au
temp
2- fgrmali
Sect. H: Cap. 1. De Actionemot et effectu.
tempus NPQ ad tempus LM; aje et actionem cud impensum
64
est tempus et G esse ad actiorum em impersum ett tempus AC
m ed proportione, m qu ett actro cui imponsume est tempus Ne
ad actionem cuu impensum ett tempus LM. Cum enim acti-
onis mensura sit mobile centa magnitudinio percurriste longi-
fudinem cente eatentionis cento velocitatis gradu seu cortuitem
poris parte (per def. 3) et longitudo translationis itemque ma-
gnitudo mobitis sint in omnitas eaedem. (ea hypothen) et ea
1
LM
dem ratio utrobique temporum (adeoque velocitatum), omnua qui-
as
d
bas actio aestimari potert, erunt similia a parte BC et Et Gi
ut a parte LM et M
s
Iaq nulla caum reperrri potest,
 1. p. 
eur major ab una stante quam alia actionum proportio eto
C
dicatur. Et ergo eadem. Idemo est de velocitatibus; nam n
ac
duae priores veloutates m’ea tant ratione m qua dua posterio
res; etiam tempora posteriora prioribus erunt proportionalia;
quia velocitateba (aequalibus longitudinibus purcursis) sunt
temporibus reciproce proportionales (.per prop. 8. cap. de Veloc. m
motu aequiditr et unif.)
Fieri non potert, ut alius modus haec demonttrandi reperi-
atir; quin actiones que velocitate differunt non possunt re
duci ad congruentiam, uti paulo ante reduaimus ad congruen-
tiam, eas, quae velocitatem eandem habent, tantumque magni-
1
fudino mobilis aut longitudinio differunt; Iaque per viam
similitudinis comparatio differentium velocitate actionum
obtinenda ett.
eui
Prop. 5.
Si velocitates im eadem materiae quantitate peu lon-
coinum eindim movenda exercita ascumantur in jprvgrcs
tione