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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 79r, page id 00068193:0159
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unt
ones
m
mpo
et
t
edu
et
ferre
11
oram
 a
equa
in
em
Unu
C2,
c
M
etio
um
2
formali
Seit. III. Cap. 1. De ActionoMotus et Effectu
nem motus S ob effectus aequales e Currobique unius librae
translatae per unum pedem) ut velocitates, nempe ut velocitas
p
C2 ad velocitatem N3 (per prop. 7. hi). Et denique actio motus
Sest ad actionem motus L (ob velocitates X aequales ambas
graduum 3) ut effectus Z ad effectum B, (per prop. 3. huc)
et
et
Ergo denique actio motus A ert ad actionum motus L mrati
n
e
one composita B ad L et C ad N et e ad B; et quia ratio
e
composita ea A ad Q et Q ad B est aequalitatis, erit actio
motus A ad actionem motus L in ratione C ad ( seu m
ratione velocitatum agendi.
Prop. 10.
Actiones formales motuum sunt in ratione compo-
sita effectuum formalium et velocitatum agendi. ceu m
ratione composita quantitatum materiae, longit udinum
per quas sunt motae, et velocitatum.
Nam si effectus sint aequales, erunt actiones ut veloii
E
isic et
tates efficiendi (pu prop. 7. Sico). Ergo, in ratione composita
effectuum et velocitatum. Si effectus sint maequales,
sit (Fig. 6.) effectus A, velocitas B, actio C; et rurius
effectus DEF. velocitas GH, actio NP2. Sumatur esse-
0
ctus majoris DEF. pars Deaequalio ipsi effectui A, producta
sa
22
actione NP parte actionis NPE, et eadim velocitate, ut
G
num NP ut effectus DEs ad effertum dE ob aequalem veloci
a
tatem utrobiq GH (per prop. 3. hic), et actio Ns ett ad acti
onm C, ut velocitas GH ad velocitatem B (ab effectus DE et A
aequa