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# Title: Leibniz-Handschriften zur Philosophie LH 4, 1, 4a
# Folio 13r, page id 00068502:0097
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ritatem quadruplam, acquireremus motum perpetuum sea
effectum potentiorem causa, nam mitio cum moceretur
A tantum modo poterant alibrae attolli ad pedlem 1, seu
vnalibra ad pedles 4; postea vero moto B posset vnali-
bra attolli ad pedes ib. nam altitudines sunt ot quadrata
celeritatum quarum vi ad eas assurgi potest, et quadrupla
celeritas ad altitudinem sedecuplam attollit. Ia ope ipsi-
us. B. non possumus tantum A. rursuo attollere ad pedem 1.
unde redescendenti celeritatem pristinam reciperet, sed
et pluca alia efficere, quod est motum mechanicum per-
petuum exhibere cum scilicet potentia prima redit,
et tamen aliquid interim praestitum est. Ztsi autem
suppositio illa de transtatione totius potentiae ipsius A
i B, non posset actu ipso praestari, hoc tamen ad rem
non facit cum hoc loco de vera aestimatione agatus
seu quantum extali hypothesi B. accipere opateret;
ino etsi pars virium retineatur parte tantum trans-
lata ealllem tamen absurditates nasci necesse est.
nam si quantitas motus seruanda est, quantitatem
virium servari semper non posse patet, cum quan-
titatem motus coristet esse in ratione composita
molis et celeritatis, quantitas autem potentiae, ut o-
stendimus sit in ratione composita molis, et alti-
tudinis ad quam grane vipotentiae attolli potest
altitudines vero sint in ratione celeritatum altol-
lentium duplicata. Interim haec regula constitui
potest, ut eadem tam virium quam motus quan-
litas sercetur, cum corpora tam ante quam
post concursum tenduntin easdem partet; item
cum corpora concurrentia aequalia sunt