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

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1
PROPOSITIO XXVII. PROBL. XIV.
Dato gravi moto perpendiculariter per spa­
tium datum diuturnitate data, quod per­
ficiat motum super plano inclinato per
spatium itidem datum; perquirere in ipso
diuturnitatem.28[Figure 28]
Moveatur grave A perpendiculariter per
spatium AB diuturnitate C, & perseve­
ret in motu super spatio BD in plano incli­
nato BD.
Venanda est diuturnitas eius in ipso BD.
Producatur DB donec concurrat cum AE orizon­
taliter ducta ab A in E, & fiat ut AB ad EB,
ita diuturnitas C ad diuturnitatem G, quae
idcirco erit diuturnitas ipsius EB, & sit H
quadratum diuturnitatis G, & fiat ut EB
ad ED, ita quadratum H ad aliud quod sit I a
cuius latere K, quod est diuturnitas ipsius
ED, ablata KL aequali G, erit LM reli­
quum diuturnitas BD quaesita.
* Est quarta tertij.

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