Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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423
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rij percurrat altitudinem 100. cubitorum, tunc ſi iņ
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aqua v. g. eodem tempore deſcendendo pertranſeat
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ſpatium nonaginta
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abbr
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cubitorũ
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, in hydrargyro verò 30.
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cubitos vt nimirùm velocitas eius in aqua, tripla ſit
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velocitatis quàm in hydrargyro exercet, tunc calcu
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lus oſtendit craſſitiem hydrargyri non triplam, ſed
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ſeptuplam eſſe craſſitiei ipſius aquæ. </
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Exemplis id
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ipſum com
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probatur.</
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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
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.</
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<
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id
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">Sumptis poſtea alijs duobus medijs fluidis magis
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differentibus vt nimirùm in rariori percurrat eodem
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tempore 80. cubitos in denſiori verò 20. tunc præci
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sè eamdem quadruplam proportionem habebunt
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abbr
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dẽ-ſitates
">den
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ſitates</
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fluidorum, quam habent velocitates. </
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<
s
id
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">Poſtre
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mò in alijs fluidis minùs differentibus ſi velocitates
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habuerint proportionem duplam, eorum reſiſtentiæ
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triplam proportionem habebunt. </
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<
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id
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">Vndè euidentèr
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euincitur, falſam eſſe Ariſtotelicam ſuppoſitionem, &
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/>
proindè non ſequitur velocitatem cuiuslibet corpo
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ris grauis in ſpatio inani eſſe inſtantaneam. </
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>
<
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id
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">Et profe
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ctò ſi motus naturam perpendamus, quæ ſine tranſitu
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locali ſucceſſiuo percipi non poteſt, planè percipi
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mus non poſſe corpus
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expan
abbr
="
finitũ
">finitum</
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in inſtanti ab vno ad
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abbr
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aliũ
">alium</
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>
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locum migrare, eſſet enim ſimùl in termino, à quo, &
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ad quem, ſui motus, & ſic occuparet ſpatium maius
<
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/>
ſe ipſo, & præterea tolleretur omninò conceptus ſuc
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lb
/>
ceſſiuæ migrationis ab vno ad alium locum, vnde
<
expan
abbr
="
cõ-cludendum
">con
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cludendum</
expan
>
eſt, quodlibet corpus finitum à finita vir
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lb
/>
tute motiua impulſum, licèt omninò remoueantur me
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dij fluidi impedimenta, oportere, vt ſpatium
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expan
abbr
="
quantũ
">quantum</
expan
>
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in tempore aliquo determinato percurrat. </
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<
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