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

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1
PROPOSITIO XII.
Gravia descendunt super plana diverse in­
clinata tali proportione, ut si velocitas ad
velocitatem reciproca longitudinibus pla­
norum ductorum ab eodem puncto, ad
idem planum orizontale.13[Figure 13]
Sint F, D plana inclinata ducta ad idem pla­
num orizontale.
Dico esse ut planum D ad planum F, ita veloci­
tatem gravis ducti super F, ad velocitatem
eiusdem ducti super D.
Ducatur perpendicularis E, & sint B, A, C ve­
locitates gravium latorum super perpendicu­
lari, & super planis F, D.
Quoniam est A ad B, ut E ad F, item, & B ad
C, ut D, ad E, erit A ad C ut D ad F, sci­
licet velocitas gravis super F ad velocitatem
gravis super D, ut lon­
gitudo plani D ad longitudinem plani F. Quod fuit probandum.
Per 11. huius.
Per 13. Quinti.

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