DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N101E9" type="main">
              <s id="N1025A">
                <pb xlink:href="077/01/008.jpg" pagenum="4"/>
              pertractatas. </s>
              <s id="N1026A">Ariſtoteles.
                <expan abbr="n.">enim</expan>
              in principio
                <expan abbr="Quęſtionũ">Quęſtionum</expan>
                <expan abbr="mechanica-rũ">mechanica­
                  <lb/>
                rum</expan>
              multa, ea〈qué〉 pręcipua ad cauſas rei mechanicæ
                <expan abbr="dignoſcẽdas">dignoſcendas</expan>
                <lb/>
              aperuit; 〈qué〉 ſecutus Archimedes in his libris mechanica prin­
                <lb/>
              cipia explicatiùs patefecit, eaquè planiora reddidit. </s>
              <s id="N10282">Nec propte
                <lb/>
              rea Ariſtoteles diminutus extitit: etenim
                <expan abbr="eorũ">eorum</expan>
              , quę ab ipſo pro
                <lb/>
              poſita, & explicata fuere, problematum cauſas egregiè patefe­
                <lb/>
              cit. </s>
              <s id="N1028E">ſed quoniam Archimedi ſcopus fuit mechanicę diſciplinę
                <lb/>
              rudimenta explanare; propterea ad magis particularia
                <expan abbr="enucleã">enucleam</expan>
                <lb/>
              da deſcendere voluit. </s>
              <s id="N10298">Ariſtoteles.
                <expan abbr="n.">enim</expan>
              (gratia
                <expan abbr="exẽpli">exempli</expan>
              )
                <expan abbr="quęrẽs">quęrens</expan>
              cur
                <lb/>
              vecte magna mouemus pondera? </s>
              <s id="N102A8">cauſam eſſe ait
                <expan abbr="longitudinẽ">longitudinem</expan>
                <lb/>
              vectis maiorem ad partem potentiæ: & rectè quidem; cùm ex
                <lb/>
              principio ab ipſo conſtituto manifeſtum ſit, ea, quę ſunt in
                <lb/>
              longiori à centro
                <expan abbr="diſtãtia">diſtantia</expan>
              ,
                <expan abbr="maiorẽ">maiorem</expan>
              quo〈que〉 habere virtuté. </s>
              <s id="N102BC">Ar­
                <lb/>
              chimedes verò vlteriùs adhuc progredi voluit, hoc admiſſo,
                <expan abbr="nẽ">nem</expan>
                <lb/>
              pè quod eſt in longiori diſtantia maiorem uim habere, quàm
                <lb/>
              id, quod eſt in breuiori, inquirere etiam voluit, quanta ſit vis
                <lb/>
              eius, quod eſt in longiori diſtantia ad id, quod eſt in breuiori;
                <lb/>
              ita vt inter hęc nota reddatur qualis, & quę ſit eorum propor­
                <lb/>
              tio determinata. </s>
              <s id="N102CE">at〈que〉 ideo
                <expan abbr="fundamẽtum">fundamentum</expan>
              illud mechanicum
                <lb/>
              pręſtantiſſimum manifeſtauit; videlicet ita ſeſe habere pon­
                <lb/>
              dus ad pondus, vt diſtantia ad inſtantiam, vnde pondera ſu­
                <lb/>
              ſpenduntur, ſeſe permutatim habet. </s>
              <s id="N102DA">quo ignoto, res mechani­
                <lb/>
              cę nullo modo pertractari poſſe videntur. </s>
              <s id="N102DE">quandoquidem
                <lb/>
              huic tota mechanica facultas tanquam vnico, pręcipuo〈que〉
                <lb/>
                <expan abbr="fundamẽto">fundamento</expan>
              innititur. </s>
              <s id="N102E7">Quare Archimedes
                <expan abbr="Ariſtotelẽ">Ariſtotelem</expan>
              ſequi vide
                <lb/>
              tur; quod non ſolùm patet exijs, quæ dicta ſunt; verùm etiam
                <lb/>
              ſi Archimedis poſtulata
                <expan abbr="cõſiderauerimus">conſiderauerimus</expan>
              , quibus
                <expan abbr="cõſtituẽdis">conſtituendis</expan>
              ,
                <lb/>
              ea, quæ de principijs mechanicis Ariſtoteles patefecit, Archi­
                <lb/>
              medé ſupponere
                <expan abbr="cõperiemus">comperiemus</expan>
              . vt deinceps ſuo loco
                <expan abbr="perſpicuũ">perſpicuum</expan>
                <lb/>
              fiet. </s>
              <s id="N10307">In ratione pręterea, ac modo
                <expan abbr="cõſiderãdi">conſiderandi</expan>
              mechanica, maxi­
                <lb/>
              ma ambo affinitate coniuncti in cedere vidétur. </s>
              <s id="N1030F">Ariſtoteles.
                <expan abbr="n.">enim</expan>
                <lb/>
                <arrow.to.target n="marg1"/>
              res mechanicas tum Mathematica, tú naturalia ſapere, ac reſpi
                <lb/>
              cere aſſeruit: quod
                <expan abbr="quidẽ">quidem</expan>
              & Archimedes optimè nouit:
                <expan abbr="nã">nam</expan>
              quę
                <lb/>
              Mathematicè ſunt conſideranda, geometricè demonſtrauit,
                <lb/>
              vt ſunt diſtantiæ, proportiones, & alia huiuſmodi: quæ verò
                <lb/>
              ſunt naturalia, naturaliter
                <expan abbr="quoq;">quo〈que〉</expan>
                <expan abbr="cõſiderauit">conſiderauit</expan>
              ; vt ea, quæ ad gra
                <lb/>
              uitatis centrum ſpectant, & quæ ſurſum, & quę deorſum moue </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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