Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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    <archimedes>
      <text>
        <body>
          <pb pagenum="76" xlink:href="009/01/076.jpg"/>
          <chap>
            <p type="head">
              <s id="s.001403">
                <emph type="italics"/>
              Ex Quinto Phyſicorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001404">
                <arrow.to.target n="marg98"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001405">
                <margin.target id="marg98"/>
              98</s>
            </p>
            <p type="main">
              <s id="s.001406">Tex. 6.
                <emph type="italics"/>
              (Vt media grauis ad vltimam, & acuta ad primam)
                <emph.end type="italics"/>
              alludit ad or­
                <lb/>
              dinem chordarum in muſicis inſtrumentis, vbi media chorda edit ſo­
                <lb/>
              num, reſpectu quidem vltimæ, & ſupremæ chordæ grauem: reſpectu verò
                <lb/>
              primæ, & infimæ acutum.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001407">
                <emph type="italics"/>
              Ex Octauo Phyſicorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001408">
                <arrow.to.target n="marg99"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001409">
                <margin.target id="marg99"/>
              99</s>
            </p>
            <p type="main">
              <s id="s.001410">Tex. 15.
                <emph type="italics"/>
              (Etenim triangulus habet tres angulos æquales duobus rectis angulis)
                <emph.end type="italics"/>
                <lb/>
              lib. 1. Priorum, ſecto 3. cap. 1. huius rei explicationem reperies.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001411">
                <emph type="italics"/>
              EX PRIMO DE COELO.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001412">
                <arrow.to.target n="marg100"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001413">
                <margin.target id="marg100"/>
              100</s>
            </p>
            <p type="main">
              <s id="s.001414">Tex. 33.
                <emph type="italics"/>
              (Vt ſi quis minimam quădam eſſe dicat magnitudinem, hic enim
                <lb/>
              minimum introducens, maxima
                <expan abbr="vbiq;">vbique</expan>
              amoueret mathematicorŭm)
                <emph.end type="italics"/>
              ideſt,
                <lb/>
              ſi quis, vt Democritus poſuerit in magnitudinibus eſſe minima,
                <lb/>
              ſeu indiuiſibilia, ex quibus entia mathematica componerentur,
                <lb/>
              hic euerteret maxima mathematicorum, ideſt maxime ipſorum demonſtra­
                <lb/>
              tiones, atque etiam effata euerterentur: v. g. 10. primi Elem. quæ docet
                <lb/>
              quamlibet lineam poſſe diuidi bifariam nulla eſſet, quia linea illa, quæ con­
                <lb/>
              ſtaret ex tribus Democriti atomis, nulla ratione bifariam ſecari poſſet. </s>
              <s id="s.001415">pa­
                <lb/>
              riter totus ferè decimus liber Elem. deceptiuus, & nullus eſſet, ſi enim da­
                <lb/>
              rentur illæ atomi, ex quibus
                <expan abbr="quãtitas">quantitas</expan>
              conflaretur, nullæ eſſent lineæ incom­
                <lb/>
              menſurabiles, quandoquidem omnes communi illa, ac indiuidua, commen­
                <lb/>
              ſurarentur. </s>
              <s id="s.001416">poſtulatum
                <expan abbr="quoq;">quoque</expan>
              illud, qualibet data magnitudine ſumi poſſe
                <lb/>
              minorem prorſus irritum redderetur, quia data atomo, illa minor accipi
                <lb/>
              non poſſet.</s>
            </p>
            <p type="main">
              <s id="s.001417">
                <arrow.to.target n="marg101"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001418">
                <margin.target id="marg101"/>
              101</s>
            </p>
            <p type="main">
              <s id="s.001419">Tex. 36.
                <emph type="italics"/>
              (Sit
                <expan abbr="itaq;">itaque</expan>
              linea, in qua A G E, infinita ad partes E; & alia vtrinque
                <lb/>
              infinita, in qua
                <foreign lang="grc">β</foreign>
              B; ſi
                <expan abbr="itaq;">itaque</expan>
              deſcribat circulum linea A G E, circa centrum G, fe-
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.009.01.076.1.jpg" place="text" xlink:href="009/01/076/1.jpg" number="42"/>
                <lb/>
                <emph type="italics"/>
              retur circulariter linea A G E, ſecans ali­
                <lb/>
              quando lineam
                <foreign lang="grc">β</foreign>
              B, tempore finito; totum
                <lb/>
              enim tempus, in quo circulariter latum
                <lb/>
              eſt Cœlum finitum eſt, & ablatum igitur,
                <lb/>
              quo ſecans ferebatur; erit igitur aliquod
                <lb/>
              principium, quo primum linea A G E, li­
                <lb/>
              neam
                <foreign lang="grc">β</foreign>
              B, ſecuit. </s>
              <s id="s.001420">ſed impoſſibile est; non
                <lb/>
              est igitur circulariter verti
                <expan abbr="infinitũ">infinitum</expan>
              , quare
                <lb/>
                <expan abbr="neq;">neque</expan>
              mundum, ſi eſſet infinitus)
                <emph.end type="italics"/>
              quamuis
                <lb/>
              textus hic parum ſit mathematicus,
                <lb/>
              quia tamen ſupponit figuram mathe­
                <lb/>
              maticam, quæ in codicibus pariter, ac
                <lb/>
              commentarijs deſideratur, illam pla­
                <lb/>
              cuit apponere. </s>
              <s id="s.001421">in qua quidem, quamuis duæ lineæ infinitæ ſupponantur, vna
                <lb/>
              ad alteram
                <expan abbr="tãtum">tantum</expan>
              partem in qua E: altera verò ad
                <expan abbr="vtramq;">vtramque</expan>
              partem
                <foreign lang="grc">β,</foreign>
              & </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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