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

List of thumbnails

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page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1060F" type="main">
              <s id="N10651">
                <pb xlink:href="077/01/015.jpg" pagenum="11"/>
              poſitione ſunt manifeſta, quando autem hæc linea eſt hori­
                <lb/>
              zonti erecta, tunc idem prorſus eſt (vt mox diximus) perinde
                <lb/>
              ac ſi pondus in centro grauitatis ad vnguem ſuſtineretur.
                <lb/>
              Quocirca ſi pònderis grauitas minimè percipi poteſt, niſi in
                <lb/>
                <expan abbr="cẽtro">centro</expan>
              grauitatis ipſius,
                <expan abbr="põdus">pondus</expan>
              certè in ipſo propriè grauitat. </s>
            </p>
            <p id="N10672" type="margin">
              <s id="N10674">
                <margin.target id="marg6"/>
                <gap/>
              </s>
            </p>
            <p id="N10678" type="main">
              <s id="N1067A">Centrum figuræ apud Mathematicos eſt punctum, à quo
                <lb/>
              ſemidiametri exeunt; vel per quod
                <expan abbr="trãſeunt">tranſeunt</expan>
              diametri, vt circu
                <lb/>
              li centrum, & ellipſis, necnon oppoſitarum ſectionum. </s>
            </p>
            <p id="N10684" type="main">
              <s id="N10686">Centrum verò magnitudinis eſt id, quod medium figuræ
                <lb/>
              obtinet; vel quod ęqualiter ab exteriori ſuperficie diſtat. </s>
              <s id="N1068A">vt
                <lb/>
              ſphærę centrum. </s>
            </p>
            <p id="N1068E" type="main">
              <s id="N10690">Centrum deni〈que〉 mundi eſt punctum in medio vniuerſi
                <lb/>
              ſitum, omniumquè rerum infimum. </s>
            </p>
            <p id="N10694" type="main">
              <s id="N10696">Cæterùm ad meliorem horum notitiam obſeruandum eſt,
                <lb/>
              hęc centra aliquando ſimul omnia inter ſe conuenire,
                <expan abbr="aliquã">aliquam</expan>
                <lb/>
              do nonnulla; aliquando autem minimè. </s>
              <s id="N106A0">ſimul verò omnia
                <lb/>
              conueniunt. </s>
              <s id="N106A4">vt centrum vniuerſi, centrum magnitudinis ter
                <lb/>
              ræ (ſphęræ ſcilicet ex aqua, terraquè compoſitę, quam nos bre
                <lb/>
              uitatis ſtudio terram tantùm nuncupabimus) centrum figu­
                <lb/>
              rę terrę; ac centrum grauitatis terrę. </s>
              <s id="N106AC">Cùm enim terra ſit ſphæ­
                <lb/>
              rica (vt omnes fatentur.) eius medium erit centrum figurę, à
                <lb/>
              quo ſemidiametri exeunt. </s>
              <s id="N106B2">idipſum què erit centrum magnitu
                <lb/>
              dinis, ſiquidem ipſius figurę medium obtinet. </s>
              <s id="N106B6">Pręterea idem
                <lb/>
              punctum eſt centrum grauitatis terrę. </s>
              <s id="N106BA">& quoniam terra in me
                <lb/>
              dio
                <expan abbr="mūdi">mundi</expan>
              quieſcit, erit hoc
                <expan abbr="centrũ">centrum</expan>
              grauitatis in centro vniuerſi
                <lb/>
              collocatum. </s>
              <s id="N106C8">& hoc duntaxat modo centra omnia in
                <expan abbr="vnũ">vnum</expan>
              con
                <lb/>
              uenire poſſunt. </s>
              <s id="N106D0">quamquam verò ſphęra, quę continet
                <expan abbr="terrā">terram</expan>
              &
                <lb/>
              aquą, compoſita eſt ex corporibus diuerſę ſpeciei,
                <expan abbr="differẽtiſquè">differentiſquè</expan>
                <lb/>
              grauitatis, nimirum ex terra, & aqua; non
                <expan abbr="tamẽ">tamen</expan>
              efficitur, quin
                <lb/>
                <expan abbr="mediũ">medium</expan>
              ipſius cum centro grauitatis conſpiret in vnum.
                <expan abbr="">Nam</expan>
              ex
                <lb/>
              Ariſto telis ſententia terra circa mundi centrum vndi〈que〉
                <expan abbr="cõſi">conſi</expan>
                <arrow.to.target n="marg7"/>
                <lb/>
              ſtit; & Archimedes affirmat,
                <expan abbr="etiã">etiam</expan>
                <expan abbr="humidũ">humidum</expan>
              manens
                <arrow.to.target n="marg8"/>
                <expan abbr="ſphęri-cũ">ſphęri­
                  <lb/>
                cum</expan>
              , cuius
                <expan abbr="cẽtrum">centrum</expan>
              eſt
                <expan abbr="centrũ">centrum</expan>
              vniuerſi. </s>
              <s id="N10710">ſi ita 〈que〉 terra, & aqua ma
                <lb/>
                <expan abbr="nẽt">nent</expan>
              ,
                <expan abbr="quieſcũtquè">quieſcuntquè</expan>
              circa
                <expan abbr="centrũ">centrum</expan>
              vniuerſi, ergo
                <expan abbr="centrũ">centrum</expan>
                <expan abbr="mūdi">mundi</expan>
                <expan abbr="ipſo-rũ">ipſo­
                  <lb/>
                rum</expan>
              ſimul
                <expan abbr="cẽtrũ">centrum</expan>
              grauitatis exiſtit. </s>
              <s id="N10731">at〈que〉 adeo quatuor prędicta
                <lb/>
              centra in
                <expan abbr="vnũ">vnum</expan>
              ſimul conueniunt punctum. </s>
              <s id="N10739">Quod
                <expan abbr="autẽ">autem</expan>
              tria ſi
                <lb/>
              mul centra in vnum coeant, ſatis
                <expan abbr="conſpicuū">conſpicuum</expan>
              eſſe poterit cuiquè </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>