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

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1
PROPOSITIO QUARTA. PROB. II.
Data diuturnitate gravis descendentis a data
altitudine, constituere altitudinem, a qua
idem grave cadat in data alia diuturnitate.5[Figure 5]
Sit A diuturnitas gravis B, dum cadit in C, &
data sit diuturnitas quaecumque D.
Constituenda est alia altitudo, a qua grave de­
scendat iuxta diuturnitatem D.
Fiat I, tertia proportionalis ad AD, & ut I ad A
fiat altitudo GH ad altitudinem datam BC,
Dico GH esse altitudinem quaesitam.
Per 11. sexti.
Per 12. sexti.
Quoniam BC, & GH sunt in duplicata ratione
datarum diuturnitatum A, D, per constructio­
nem; per ipsas gravia B, & G cadent in diu­
turnitatibus A, & D datis, unde reperta est
altitudo GH quaesita.
Quod fuit faciendum.
Per 3. huius.

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