Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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1
PROPOSITIO VIII. PROB. IV.
Dato plano inclinato, super quo per spatium
datum grave moveatur in nota diuturni­
tate, determinare in eodem plano spatium
per quod dictum grave moveatur in qua­
vis alia diuturnitate data.9[Figure 9]
Sit A diuturnitas gravis B, dum descendit in
C super plano inclinato BC, & data diu­
turnitas D.
Praescribendum est aliud spatium in eodem pla­
no BC, per quod idem grave pertranseat in
diuturnitate D.
Fiat H tertia proportionalis ad A & D, & ut
H ad A fiat BG ad BC, Dico BG esse spa­
tium quaesitum.
Quoniam BC, & BG sunt in duplicata ratione
datorum temporum A, D per constructionem,
per ipsa cadet grave B diuturnitatibus A, D
datis, ergo reperta est BG quaesita.
Quod
faciendum erat.
Per 6. huius.

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