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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 28
# Folio 3v, page id 00068153:0006
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Scholion.
Eadem opera generale potuioset
demonstran Theorema, si attitudines
ponderibus
sint congainui reciprocae potentias
elevantes esse aequales, sed majoris
claritatis causa demonstrationem in
simplicissimo exemplo exhibere volui.
Caeterum propositionem a me demonstra
tam pro principio assumunt Cartesius
in peculiari tractatu mechanico, et
alibi passim; ut et Cartesiam complure
vir alioqui doctus
et ille quoque qui demonstrationi
meae Anti Cartesiana non satis perceptae
nescio quibus efugiis quaesitis respon
potera
dere voluit. Itaque potet theorema
ab
meum praesens tanquam adversariis
admissum sine demonistratione assumere
idem admittunt alii praeter Cartesianus
ut Blasius pascalius tractatu
de aequilibrio liquorum, samvel
Morland Anglus (inventor Tuba
stentorea) in tractatu Hfydrantico
et alii complures
H
 Hinc
his jam
anterae
in schediafmate a me jam edito de
porre
demonstratum est erroneum esse
principium vulgo receptum, quod
potentiae sint in ratione composita
ponderum et celeritatum
mox
placet tamen hoc loco idem efficer
positio tertia; potentiae duorum
gravium corporum ejusdem celeritatis sunt inter
se ut pondera.
Sthol. Haec positio demonstrari posset
ope positionis primae, quoniam tamen ab
omnibus opinor, concedetur placet illam
sine probatione assumere, brevitatis causa
quoniam tamen
per se notum
s
tim
et primo aspectu
aliquid difficultatis habere
videtur ex manifestioribus
demonstrasse operae pre-
tium d
uit
donest
est,
ne
nunc