Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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151 - 180
181 - 210
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391 - 420
421 - 450
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421
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N, nifi quia prædicta fluida diuerſimodè reſiſtunt, &
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alterant naturalem impetum, & motum eiuſdem mo
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bilis. </
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<
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">Supponamus igitur, quod gradus abſolutus ve
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locitatis grauis A non retardatus, neque impeditus
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à craſſitie alicuius medij fluidi ſit
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tãtæ
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energiæ vt
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abbr
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tẽ-pore
">ten
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pore</
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T excurrere poſſit prolixiùs ſpatium CL; quare
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retardatio profecta à craſſitie fluidi M impedientę
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eius motum ſit DL, ſed à maiori craſſitie R alterius
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fluidi N retardetur ſubtrahaturque ab integro, & na
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turali eius fluxu ſpatium EL maius quam DL. modò
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ſi retardatio DL facta à denſitate S fluidi M mi
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nor fuerit ſpatio CE exacto in fluido N minori ve
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locitate; dico, quod corporis A maior velocitas in
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fluido M ad minorem velocitatem, quam exercet in
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fluido N minorem proportionem habebit, quàm
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abbr
="
re-ſiſtẽtia
">re
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ſiſtentia</
expan
>
, ſeù craſſities R ad reſiſtentiam S: ſi verò DL
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æqualis fuerit CE proportionalia erunt; & tandem̨
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ſi DL maior fuerit, quam CE, tunc velocitas, quam̨
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exercet A in M ad velocitatem, quam exercet in N
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<
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abbr
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maiorẽ
">maiorem</
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<
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abbr
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proportionẽ
">proportionem</
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habebit, quàm craſſities R ad S. </
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Cap. 10. de
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æquitempo
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ranea natu
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rali veloci
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tate
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abbr
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grauiũ
">grauium</
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.</
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</
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<
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id
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s.002161
">Ponamus primò DL minorem eſſe, quàm CE. quia
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eadem ED ad maiorem CE habet
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abbr
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minorẽ
">minorem</
expan
>
propor
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lb
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tionem quàm ad minorem DL, igitur componendo
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DC ad CE minorem proportionem habebit, quàm̨
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EL ad LD, ſed vt DC ad CE, ita ſe habet velocitas
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ipſius A in fluido M ad
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abbr
="
velocitatẽ
">velocitatem</
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>
eiuſdem in fluido
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N, (propterea quòd velocitates eodem tempore T
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exactè proportionales ſunt ſpatijs excurſis): & ſimi
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litèr impedimentum, & retardatio, quam affert craſ-</
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