Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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              <s id="s.002168">
                <pb pagenum="423" xlink:href="010/01/431.jpg"/>
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                <lb/>
              rij percurrat altitudinem 100. cubitorum, tunc ſi iņ
                <lb/>
              aqua v. g. eodem tempore deſcendendo pertranſeat
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              ſpatium nonaginta
                <expan abbr="cubitorũ">cubitorum</expan>
              , 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. </s>
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              Exemplis id
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              ipſum com­
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              probatur.</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
                <expan abbr="grauiũ">grauium</expan>
              .</s>
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              <s id="s.002171">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
                <expan abbr="dẽ-ſitates">den­
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                ſitates</expan>
              fluidorum, quam habent velocitates. </s>
              <s id="s.002172">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. </s>
              <s id="s.002173">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. </s>
              <s id="s.002174">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
                <expan abbr="finitũ">finitum</expan>
              in inſtanti ab vno ad
                <expan abbr="aliũ">alium</expan>
                <lb/>
              locum migrare, eſſet enim ſimùl in termino, à quo, &
                <lb/>
              ad quem, ſui motus, & ſic occuparet ſpatium maius
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              ſe ipſo, & præterea tolleretur omninò conceptus ſuc­
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              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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              tute motiua impulſum, licèt omninò remoueantur me­
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              dij fluidi impedimenta, oportere, vt ſpatium
                <expan abbr="quantũ">quantum</expan>
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              in tempore aliquo determinato percurrat. </s>
              <s id="s.002175">Sed hoc </s>
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