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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 85r, page id 00068193:0171
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Mum
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uto
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rans.
ajo
tes
acto
Mm
pos
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Ve
esto-
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pvt
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Seit. III. Cap. 2. De Potentia motrice absoluta.
stravimus prap. 4. cap. 4 Sect. 2.
Itaque tandem Potentiae absolutae mobilium aequalium
sunt ut quadrata velvcitatum; seu duplicata (triplieata) ve
locitate mobilis, potentia fit quadrupla (noncupta). Et ete
ganter evenit, ut velocitatibus per rectas repraesentatis, poten-
fra conporis pur rectarum potentias (quas vaticinio quodam s
es a
appellarunt Geometrae) exprimantur.
cop.5
Fotentiae motrices absolutae sunt in ratione composi–
G
ta ex aplice mobilium et duplicata velocitatum, vel ex sim-
e
pliec mobilium et duplicata longitudmum, per quas mobilia
ea virtute potentiarum suarum intra tempus datum unifor
c
miter sese eunt franslatura
s
Svit (Frg. 12.) mobilia ABC et LM earumq velocitates
CD vel 1C2C, et M. N vel sM2M; Ajo erre potentiam mobilis
C
ABC ad potentiam mobilis L M in ratione composita mobilium
ABC et LM, et quadratarum velocitatum, seu erso potenti-
as ut rectangula TAFCZCID et 1LIM2M. X, quorum altitudi-
cotida
nes sint ut mobilia AC; LM, bases ut veloeitatum quadrata.
Nam si mobilia sint aequalia, utique potentia sunt ut quadra
ta velocitatum, ad eoque in ratione composita mobilium, hoc
loco equalium; et quediatarum velocitatum. Sinmobilia
sint maequalia, et alteratram ut ABC majus, sumatur ipius
pars AB aequalis minori mobili LM: potentia ipsius ABC est
ad potentiam ipius AB ut mobilia, ABC ad AB sob velscita
en
tem communem per prop. 2: hic). Sed potentra iprius APo ett
ea
ad potentiam iprus LM, mobilium aequalium, ut quadrata De-
p29. 5
locitatum C et MN (per prop. 4. hic). Ergo jangondo prima
-l
postremis, potentia ipnus ABC erit ad potentiam iptius LM
t
in ratione comporita motilis ABC ad AB su ad mobilo LM