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

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
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>