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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N10A75" type="main">
              <s id="N10A9B">
                <pb xlink:href="077/01/022.jpg" pagenum="18"/>
              ſtatim non ſolùm ę〈que〉ponderare non poſſe, verùm etiam pla
                <lb/>
              num D deorſum tendere concipiemus. </s>
              <s id="N10ADE">& hoc nulla alia de
                <lb/>
              cauſa, quàm quòd cùm D maius ſit, quàm E, ſtatim
                <expan abbr="ipsũ">ipsum</expan>
                <lb/>
              D, quàm E grauius quo〈que〉 eſſe concipimus. </s>
              <s id="N10AE8">Conſiderare
                <lb/>
              igitur plana cum grauitate non eſt omnino à ratione
                <expan abbr="alienũ">alienum</expan>
              .
                <lb/>
              Quare vtrum 〈que〉 titulum, nempe planorum æ〈que〉ponderan
                <lb/>
              tium, vel centra grauitatis
                <expan abbr="planorũ">planorum</expan>
              , admittendum duximus.
                <lb/>
              Verùm quoniam Archimedes ſecundum librum ſimplici vo
                <lb/>
              cabulo, nimirum (quaſi ſimul omnia complectens)
                <emph type="italics"/>
              æ〈que〉pon­
                <lb/>
              derantium
                <emph.end type="italics"/>
              in ſcripſit; idcirco tam primum, quàm ſecundum li
                <lb/>
              brum (æ〈que〉ponderantium) inſcribendum exiſtimamus. </s>
              <s id="N10B06">eo­
                <lb/>
              què libentiùs; quoniam ipſemet Eutocius horum quo〈que〉 li­
                <lb/>
              brorum explanator hoſce libros hoc tantùm nomine æ〈que〉­
                <lb/>
              ponderantium nuncupauit: alijquè omnes, qui hos Archime
                <lb/>
              dis libros nominant; hoc titulo de æ〈que〉ponderantibus nun
                <lb/>
              cupant. </s>
              <s id="N10B12">Præterea titulus hic magis operi congruere mihi vide
                <lb/>
              tur; quoniam nonnulla Archimedes in principio pertractat,
                <lb/>
              quæ tam ſolidis, quàm planis communia exiſtunt; quamuis
                <lb/>
              cætera ad plana ſint
                <expan abbr="tantũ">tantum</expan>
                <expan abbr="referẽda">referenda</expan>
              . in quibus omnibus de re
                <lb/>
              admodum vtili, & ad
                <expan abbr="quãplurima">quamplurima</expan>
                <expan abbr="cõduẽcti">conduencti</expan>
              pertractat.
                <expan abbr="quãdoqui">quandoqui</expan>
                <lb/>
                <expan abbr="dẽ">dem</expan>
              ex ijs, quæ ab Archimede his libris docemur, in
                <expan abbr="multarũ">multarum</expan>
                <expan abbr="re-rũ">re­
                  <lb/>
                rum</expan>
                <expan abbr="cognitionẽ">cognitionem</expan>
              peruenire poſſumus. </s>
              <s id="N10B3F">quod facilè conſtat inpri
                <lb/>
              mis ipſiuſmet Archimedis
                <expan abbr="exẽplo">exemplo</expan>
              .
                <expan abbr="ſiquidẽ">ſiquidem</expan>
              hac methodo ipſe
                <lb/>
              in libro de quadratura paraboles
                <expan abbr="cõparãdo">comparando</expan>
              plana in libra
                <expan abbr="cõ">com</expan>
                <lb/>
              ſtituta, ipſius paraboles
                <expan abbr="quadraturã">quadraturam</expan>
              miro artificio adinuenit.
                <lb/>
              Deinceps ex cognitione
                <expan abbr="cẽtroiũ">centrorum</expan>
              grauitatis planorum, nos in
                <lb/>
              cognitionem centrorum grauitatum ſolidorum deducimur.
                <lb/>
              Deni〈que〉 adeo proficua eſt hæc doctrina, quam nobis in his
                <lb/>
              libris Archimedes præſtat; vt affirmare non verear, nullum
                <lb/>
              eſſe Theorema, nullum què problema ad rem mechanicam
                <lb/>
              pertinens, quod in ſui ſpeculatione peculiare
                <expan abbr="nõ">non</expan>
              aſſumat
                <expan abbr="fun-damẽtum">fun
                  <lb/>
                damentum</expan>
              ex ijs, quæ Archimedes in his libris ediſſerit. </s>
              <s id="N10B74">〈que〉m­
                <lb/>
              admodum (cæteris interim omiſſis) patet ex vulgata illa pro­
                <lb/>
              poſitione enunciante, ita ſe habere pondus ad pondus, vt di
                <lb/>
              ſtantia ad diſtantiam permutatim ſe habet, ex quibus ſuſpen
                <lb/>
              duntur. </s>
              <s id="N10B7E">quæ præclariſſimè ab ipſo in primo libro demonſtra
                <lb/>
              tur. </s>
              <s id="N10B82">Et quamuis Iordanus Nemorarius (〈que〉m ſecutus eſt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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