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

Page concordance

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000613">
                <pb pagenum="123" xlink:href="010/01/131.jpg"/>
              communis ſupra tenacitatem, &
                <expan abbr="cõſtipationem">conſtipationem</expan>
              ſpi­
                <lb/>
                <arrow.to.target n="marg152"/>
                <lb/>
              ritus vini; quæ, iuxtà Ariſtotelis aſſumptum,
                <expan abbr="maiorẽ">maiorem</expan>
                <lb/>
              tarditatem aſcendenti corpori affert denſitas aquæ,
                <lb/>
              ſcilicèt duplò maior, quàm ſit ea difficultas, qua à
                <lb/>
              ſpiritu vini aſcenſus eiuſdem pilæ impeditur. </s>
              <s id="s.000614">Hinc
                <lb/>
              ſequitur, quòd velocitas eiuſdem pilæ B per aquam
                <lb/>
              ad eam quam habere poteſt per ſpiritum vini com­
                <lb/>
              poſita ſit ex duabus proportionibus, ſcilicèt ex pro­
                <lb/>
              portione differentiarum leuitatum eorumdem cor­
                <lb/>
              porum, quæ erit vt duo ad vnum, & ex propoſitio­
                <lb/>
              ne reciproca reſiſtentiarum eorumdem mediorum̨,
                <lb/>
              quæ ſe habet vt vnum ad duo, ſed proportio dupla,
                <lb/>
              & ſubdupla componunt proportionem æqualitatis,
                <lb/>
              igitur æquali velocitate aſcendet eadem veſica B
                <lb/>
              per aquam A, & per
                <expan abbr="ſpiritũ">ſpiritum</expan>
              vini O, quod eſt
                <expan abbr="euidẽ-tèr">euiden­
                  <lb/>
                tèr</expan>
              falſum, & contra aſſertum eorumdem aduerſa­
                <lb/>
              riorum, ergo veſica aere plena non mouetur ſursùm
                <lb/>
              in fluido vi leuitatis poſitiuæ, quod erat oſtenden­
                <lb/>
              dum. </s>
            </p>
            <p type="margin">
              <s id="s.000615">
                <margin.target id="marg151"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000616">
                <margin.target id="marg152"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000617">Sed antequam vlterius procedamus,
                <expan abbr="debẽt">debent</expan>
              ad exa­
                <lb/>
              men quoque reuocari aliæ obiectiones, quæ ab au­
                <lb/>
                <arrow.to.target n="marg153"/>
                <lb/>
              thoribus clariſſimis afferuntur contra noſtram ſen­
                <lb/>
              tentiam. </s>
              <s id="s.000618">Et primò quidem conſiderabo argumenta,
                <lb/>
              quæ deſumuntur à pyramidali figura flammæ lucer­
                <lb/>
              næ, a qua, inquam, figura putant euidens
                <expan abbr="argumentũ">argumentum</expan>
                <lb/>
              deduci, quòd flamma ipſa ſursùm impellatur ab in­
                <lb/>
              terno principio leuitatis, ſicque ratiocinantur:
                <emph type="italics"/>
              Vi­
                <lb/>
              demus quieto, & tranquillo aere flammum ferri ſursùm
                <lb/>
              pyramidalitèr, cùm
                <expan abbr="tamẽ">tamen</expan>
              ſi per expresſionem hic motus fie-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>