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

Table of figures

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002515">
                <pb pagenum="477" xlink:href="010/01/485.jpg"/>
                <arrow.to.target n="marg652"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002516">
                <margin.target id="marg651"/>
              cap. 2. prop. 4.
                <lb/>
              & 11.</s>
            </p>
            <p type="margin">
              <s id="s.002517">
                <margin.target id="marg652"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002518">Sed hoc
                <expan abbr="verũ">verum</expan>
              eſt de æquilibrio, & de vi motiua qua
                <lb/>
              corpus in aqua aſcendit, vel deſcendit, non verò de
                <lb/>
              celeritate motus eius, non enim motus eius retarda­
                <lb/>
              tur omninò, ſed ſolummodò non augetur eodem pro­
                <lb/>
              greſſu quo dum infra aquam poſitum ferebatur. </s>
              <s id="s.002519">Et
                <lb/>
              hoc pendet ab impetu acquiſito in præcedenti motu,
                <lb/>
              qui impetus perſeuerans ex ſui natura ſuum effectum
                <lb/>
              velocitatis producit, licet cauſa impulſiua non per­
                <lb/>
              ſeueret eiuſdem gradus, ſed continentèr debilitetur;
                <lb/>
              & hæc eſt ratio quare lignum aſcendens non quieſcit
                <lb/>
              præcisè in eo ſitu in quo æquilibratur cum aqua col­
                <lb/>
              laterali, ſed altiùs ab impetu præconcepto impelli­
                <lb/>
              tur, & indè deorsùm decidendo repetitis aliquibus
                <lb/>
              vibrationibus, tandem in ſitu æquilibrij quieſcit. </s>
            </p>
            <p type="main">
              <s id="s.002520">Et hic patet quo ſenſu intelligi debeat propoſitio </s>
            </p>
            <p type="main">
              <s id="s.002521">
                <arrow.to.target n="marg653"/>
                <lb/>
              Archimedea, quæ habet quod tanta vi leue corpus
                <lb/>
              infra
                <expan abbr="mediũ">medium</expan>
              fluidum demerſum ſursùm
                <expan abbr="aſcẽdat">aſcendat</expan>
              ,
                <expan abbr="quã-tum">quan­
                  <lb/>
                tum</expan>
              eſt pondus, quo fluidum æquale ipſi ſolido idip­
                <lb/>
                <arrow.to.target n="marg654"/>
                <lb/>
              ſum ſuperat. </s>
              <s id="s.002522">Hoc profectò verum eſt non de motu,
                <lb/>
              atque celeritate qua lignum ex. </s>
              <s id="s.002523">gr. ſursùm aſcendit,
                <lb/>
              ſed de energia, qua lignum in ſtatu quietis ſursùm ni­
                <lb/>
              titur aſcendere, ſcilicèt ſi impediatur eius motus, vt
                <lb/>
              in bilanci contingit, tunc quidem propoſitio verifi­
                <lb/>
              catur, non verò in actu motionis eius, nam tunc im­
                <lb/>
              petus quo ſursùm aſcendit, auctus à præcedenti mo­
                <lb/>
              tu ſuperabit quamcumque immenſam vim compreſſ
                <lb/>
              ſiuam cuiuslibet vaſtiſſimi ponderis incumbentis, vt
                <lb/>
              in noſtro Opere de vi percuſs. </s>
              <s id="s.002524">oſtenſum eſt. </s>
            </p>
            <p type="margin">
              <s id="s.002525">
                <margin.target id="marg653"/>
              Incidenter
                <lb/>
              verus ſenſuæ
                <lb/>
              Archimedis
                <lb/>
              declaratur.</s>
            </p>
            <p type="margin">
              <s id="s.002526">
                <margin.target id="marg654"/>
              De
                <expan abbr="inſidẽ">inſidem</expan>
              hu­
                <lb/>
              mido lib. 1.
                <lb/>
              pr. 6.</s>
            </p>
            <p type="main">
              <s id="s.002527">Præterea altera Archimedis propoſitio, quod ni­
                <lb/>
                <arrow.to.target n="marg655"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum