Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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          <chap>
            <pb pagenum="155" xlink:href="009/01/155.jpg"/>
            <p type="head">
              <s id="s.002665">
                <emph type="italics"/>
              QVÆSTIO SECVNDA
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              </s>
            </p>
            <p type="head">
              <s id="s.002666">
                <emph type="italics"/>
              De Libra
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002667">
                <arrow.to.target n="marg233"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002668">
                <margin.target id="marg233"/>
              243</s>
            </p>
            <p type="main">
              <s id="s.002669">
                <emph type="italics"/>
              Cvr ſi quidem ſurſum fuerit ſpartum, quando deorſum lato pondere, quiſ­
                <lb/>
              piam id amouet, rurſum aſcendit libra? </s>
              <s id="s.002670">Si autem deorſum constitutum
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              fuerit, non aſcendit, ſed manet? </s>
              <s id="s.002671">An quia ſurſum ſparto quidem exiſten­
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              te plus libræ extra perpendiculum fit, ſpartum enim eſt perpendiculum,
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              quare neceſſe est deorſum ferri id, quod plus est, donec aſcendat, quæ bifariam li­
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              bram diuidit ad ipſum perpendiculŭm, cum onus incumbat ad libræ partem tractam.
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.009.01.155.1.jpg" place="text" xlink:href="009/01/155/1.jpg" number="83"/>
                <lb/>
                <emph type="italics"/>
              ſit libra vbi recta B C, ſpartum autem
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              A D: hoc igitur ſurſum erecto, perpendi­
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              culum erit vbi A D M. ſi igitur in ipſo B,
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              ponatur onus, B, quidem deſcendet vbi E;
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              C, autem aſcendat vbi H, quamobrem ea,
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              quæ bifariam libram ſecat, primò quidem
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              erit D M, ipſius perpendiculi; incumben­
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              te autem onere erit D G, quare libræ ip­
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              ſius vbi E H, quod extra A M, perpendi­
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              culum eſt, vbi eſt D D H, maius eſt dimidio. </s>
              <s id="s.002672">ſi igitur amoueatur onus ab ipſo E, ne­
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              ceſſe eſt H, deorſum ferri, minus enim eſt ipſum E D. ſi quidem igitur ſurſum ha­
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              buerit ſpartum, propter hoc aſcendit libra. </s>
              <s id="s.002673">ſi autem deorſum fuerit, id quod ſub­
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              stat, contrarium facit; plus enim dimidio fit libræ, quæ deorſum eſt, pars, quàm
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              quod perpendiculum ſecet; quapropter non aſcendit, pars enim eleuata leuior eſt.
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.009.01.155.2.jpg" place="text" xlink:href="009/01/155/2.jpg" number="84"/>
                <lb/>
                <emph type="italics"/>
              ſit libra vbi N G, perpendiculum autem
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              K L M, bifariam igitur ſecatur N G. im­
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              poſito autem onere in ipſo N, erit quidem
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              N, vbi O, ipſum autem G, vbi R; K L, au­
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              tem vbi K P, quare maius eſt L P O, quàm
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              L R, ipſo P L. </s>
              <s id="s.002674">Ablato igitur onere, ne­
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              ceſſe eſt manere; incumbit enim, ceu onus
                <lb/>
              exceſſus medietatis in quo P L.)
                <emph.end type="italics"/>
              Aduer­
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              te textum græcum eſſe mendoſum, la­
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              tinum vero mendoſiſſimum. </s>
              <s id="s.002675">Ego partim ex certa rei intelligentia, vti vi­
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              des reſtitui. </s>
              <s id="s.002676">
                <expan abbr="Idemq́">Idemque</expan>
              ; circa figuras præſtiti. </s>
              <s id="s.002677">Porrò quoniam Piccolomineus,
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              & ſi plurimum, vt ipſe fatetur, inſudauerit, non tamen ſolutionem huius
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              quæſtionis eſt aſſecutus, eam tibi ex Mechanicis Guidibaldi tradam. </s>
              <s id="s.002678">Ariſt.
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              igitur ponit duas libræ ſpecies, ſiue potius duas eiuſdem libræ poſitiones,
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              vnam, quæ habet ſpartum, ſiue perpendiculum ſupra; alteram, quæ infra.
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                <figure id="id.009.01.155.3.jpg" place="text" xlink:href="009/01/155/3.jpg" number="85"/>
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              vt in præſenti figura, ſit libra B C, cuius
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              ſpartum, ſiue perpendiculum A D, ſit ſur­
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              ſum, ita vt in puncto A, ſit affixum perpen­
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              diculum, & circa idem punctum A, tan­
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              quam circa centrum tota libra circum­
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              uertatur. </s>
              <s id="s.002679">hæc eſt prima libræ collocatio. </s>
              <s id="s.002680">ſit deinde libra B C, cuius ſpartum,
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              ſiue perpendiculum A D, ſit deorſum, vt in altera figura,
                <expan abbr="ſitq́">ſitque</expan>
              ; circa </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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