Monantheuil, Henri de, Aristotelis Mechanica, 1599

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      <text>
        <body>
          <chap>
            <subchap1>
              <p type="main">
                <s id="id.000588">
                  <pb xlink:href="035/01/069.jpg" pagenum="29"/>
                bet
                  <foreign lang="el">a b</foreign>
                ad
                  <foreign lang="el">a g,</foreign>
                & quidem
                  <lb/>
                  <foreign lang="el">a</foreign>
                feratur ad
                  <foreign lang="el">b,</foreign>
                &
                  <foreign lang="el">a b</foreign>
                  <lb/>
                etiam feratur ad
                  <foreign lang="el">h g</foreign>
                : la­
                  <lb/>
                tum vero ſit
                  <foreign lang="el">a</foreign>
                ad
                  <foreign lang="el">d,</foreign>
                &
                  <lb/>
                  <foreign lang="el">a b</foreign>
                ad
                  <foreign lang="el">e. </foreign>
                Igitur cum latio­
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                nis ratio erat ea quam ha­
                  <lb/>
                bet
                  <foreign lang="el">a b</foreign>
                ad
                  <foreign lang="el">a g</foreign>
                : neceſſe
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                eſt & ipſam
                  <foreign lang="el">a d</foreign>
                ad
                  <foreign lang="el">a e</foreign>
                ean­
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                dem habere rationem. </s>
                <s id="id.000589">Si­
                  <lb/>
                mile eſt enim ratione par­
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                uum quadrilaterum maio­
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                ri. </s>
                <s id="id.000590">Itaque & eadem diame­
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                ter vtriuſque, & ipſum
                  <foreign lang="el">a</foreign>
                  <lb/>
                erat vbi
                  <foreign lang="el">z. </foreign>
                </s>
                <s>Eodem modo
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                demonſtrabitur
                  <expan abbr="vbicũque">vbicunque</expan>
                  <lb/>
                latio deprehenſa fuerit. </s>
                <s id="id.000591">
                  <expan abbr="Sẽ­per">Sem­
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                  per</expan>
                enim ſupra diametrum
                  <lb/>
                erit. </s>
                <s id="id.000592">Manifeſtum igitur
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                quod latum
                  <expan abbr="ſecũdum">ſecundum</expan>
                dia­
                  <lb/>
                metrum duabus lationi­
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                bus neceſſe habet in ratio­
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                ne laterum ferri. </s>
              </p>
              <p type="head">
                <s id="id.000593">COMMENTARIVS. </s>
              </p>
              <p type="main">
                <s id="id.000594">Horum vero cauſa.]
                  <emph type="italics"/>
                Inæqualium
                  <expan abbr="circulorũ">circulorum</expan>
                ab inæqualibus
                  <lb/>
                radiis
                  <expan abbr="deſcriptorũ">deſcriptorum</expan>
                , & maioris quidem à maiori multo abſtru­
                  <lb/>
                ſior aßignatur cauſa ex radij deſcribentis circulum duabus lationi­
                  <lb/>
                bus, quæ inter ſe
                  <expan abbr="nullã">nullam</expan>
                  <expan abbr="rationẽ">rationem</expan>
                ſeruant. </s>
                <s id="id.000595">Atque hinc elicitur quinta in
                  <lb/>
                circulo repugnantia, ex qua admiratio eius maior: quam ante eſſe
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                concluditur. </s>
                <s id="id.000596">E lationibus enim illis vna eſt ſecundum naturam,
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                altera præter naturam. </s>
                <s id="id.000597">Et vtriſque vnum idemque ferri in nullo
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                tempore, id eſt in inſtanti indiuiſibili, quomodo non eſſet valde ad­
                  <lb/>
                mirabile? </s>
                <s id="id.000598">Circuli igitur radius, qui his duabus ita fertur in deſcri­
                  <lb/>
                ptione circuli, & circulus, qui à radio tali efficitur, erit admirabilis.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.000599">Cum igitur in.]
                  <emph type="italics"/>
                Aggreditur demonſtrare radij duas lationes
                  <lb/>
                nullam habere rationem inter ſe. </s>
                <s id="id.000600">Syllog. ſic eſt. </s>
                <s id="id.000601">Omne duabus latio­
                  <lb/>
                nibus rationem aliquam inter ſe ſeruantibus latum, fertur ſecundum
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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