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="N10B82">
                <pb xlink:href="077/01/023.jpg" pagenum="19"/>
              Nicolaus Tartalea, & alij) in libello de ponderibus hanc
                <expan abbr="eã-dem">ean­
                  <lb/>
                dem</expan>
              propoſitionem quo〈que〉 demonſtrare conatus ſit; & ad
                <lb/>
                <expan abbr="cã">cam</expan>
              oſtendendam pluribus medijs fuerit vſus; nulli tamen pro
                <lb/>
              bationi demonſtrationis nomen conuenire poteſt. </s>
              <s id="N10B95">cùm vix
                <lb/>
              ex probabilibus, & ijs, quæ nullo modo neceſſitatem
                <expan abbr="afferũt">afferunt</expan>
              ,
                <lb/>
              & fortaſſe ne〈que〉 ex probabilibus ſuas componat rationes.
                <lb/>
              Cùm in mathematicis demonſtrationes requirantur exquiſi­
                <lb/>
              tiſſimæ. </s>
              <s id="N10BA3">ac propterea ne〈que〉 inter Mechanicos videtur mihi
                <lb/>
              Iordanus ille eſſe recenſendus. </s>
              <s id="N10BA7">Quapropter ad Archimedem
                <lb/>
              confugiendum eſt, ſi fundamenta mechanica, veraquè huius
                <lb/>
              ſcientiæ principia perdiſcere cupimus: qui (meo iudicio) ad
                <lb/>
              hoc potiſſimùm reſpexit; vt elementa mechanica traderet. </s>
              <s id="N10BAF">vt
                <lb/>
              etiam Pappus in octauo Mathematicarum collectionum li­
                <lb/>
              bro ſentit; quod quidem ex diuiſione, ac progreſſu horum li­
                <lb/>
              brorum facilè dignoſcetur. </s>
            </p>
            <figure id="id.077.01.023.1.jpg" xlink:href="077/01/023/1.jpg" number="8"/>
            <p id="N10BBB" type="head">
              <s id="N10BBD">DE DIVISIONE HORVM LIBRORVM.</s>
            </p>
            <p id="N10BBF" type="main">
              <s id="N10BC1">Diuiditur enim in primis hic tractatus in duos libros diui­
                <lb/>
              ſus, in poſtulata, & theoremata: theoremata verò ſubdiui­
                <lb/>
              duntur in duas ſectiones, quarum prima continet priora o­
                <lb/>
              cto theoremata; ad alteram verò reliqua theoremata
                <expan abbr="ſpectãt">ſpectant</expan>
              .
                <lb/>
              quæ quidem adhuc in alias duas partes diuidi poteſt; nempè
                <lb/>
              in theoremata primo libro examinata, & in ea, quæ ſecun­
                <lb/>
              dus liber contemplatur. </s>
              <s id="N10BD3">Hanc autem horum librorum con
                <lb/>
              ſtituimus diuiſionem, quoniam imprimis Archimedes, (o­
                <lb/>
              miſſis poſtulatis, quæ primum locum obtinere debent) quæ­
                <lb/>
              dam tractauit communia in prioribus octo theorematibus;
                <lb/>
              quorum ſcopus eſt inuenire fundamentum illud
                <expan abbr="præcipuũ">præcipuum</expan>
                <lb/>
              mechanicum, quòd ſcilicet ita ſe habet grauitas ad grauita­
                <lb/>
              tem, vt diſtantia ad diſtantiam permutatim. </s>
              <s id="N10BE5">ad quod
                <expan abbr="demõſtrandum">demon
                  <lb/>
                ſtrandum</expan>
              quin〈que〉 præmittit theoremata, quæ paulatim
                <lb/>
              deducunt nos in cognitionem demonſtrationis præfati fun
                <lb/>
              damenti. </s>
              <s id="N10BED">quo loco illud ſummoperè notandum eſt, nimi­
                <lb/>
              rum fundamentum illud, nec non octo priora theorema­
                <lb/>
              ta communia eſſe tam planis, quàm ſolidis; at〈que〉 promiſ­
                <lb/>
              cuè de vtriſ〈que〉
                <expan abbr="Archimedẽ">Archimedem</expan>
              demonſtrare. </s>
              <s id="N10BF9">quòd ſi quis aliter </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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