Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

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        <div xml:id="echoid-div67" type="section" level="1" n="38">
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            <s xml:id="echoid-s1035" xml:space="preserve">
              <pb o="54" file="0066" n="66" rhead="PROMOTVS"/>
            corona, ſed quælibet particulæ, grauitate quacunque, ctiam
              <lb/>
            differentes interſe, ſufficiunt.</s>
            <s xml:id="echoid-s1036" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1037" xml:space="preserve">Deratione autem, qua Archimedes, cognitis grauitatibus
              <lb/>
            trium corporum ex aqua, magnitudine æqualium, coronæ
              <lb/>
            ſcilicet vnum, alterum maſſæ auree, tertium argenteæ, potue-
              <lb/>
            rit furtum aurificis in regia corona deprehendere, atque ar-
              <lb/>
            gentum quod erat in ea permixtum ab auro diſcernere, pluri-
              <lb/>
            mi ſcripſerunt, modos etiam ad id faciendum excogitarunt
              <lb/>
            varios, longa tamen methodo, atque difficili vſi ſunt, & </s>
            <s xml:id="echoid-s1038" xml:space="preserve">quod
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            maximam confuſionem, & </s>
            <s xml:id="echoid-s1039" xml:space="preserve">obſcuritatem parit, nullum opera-
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            tionis tradunt præceptum firmum, ac ſtabile. </s>
            <s xml:id="echoid-s1040" xml:space="preserve">ego autem vni-
              <lb/>
            ca tantum proportionis ratiocinatione, ſeu regula trium (vt
              <lb/>
            vulgo dicitur) breuiter, & </s>
            <s xml:id="echoid-s1041" xml:space="preserve">expedite idem conſequor, eamque
              <lb/>
            geometrica ratione demonſtro. </s>
            <s xml:id="echoid-s1042" xml:space="preserve">Problema igitur ad hoc facien
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            dum ita concipio & </s>
            <s xml:id="echoid-s1043" xml:space="preserve">abſoluo.</s>
            <s xml:id="echoid-s1044" xml:space="preserve"/>
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        <div xml:id="echoid-div68" type="section" level="1" n="39">
          <head xml:id="echoid-head42" xml:space="preserve">PROBLEMA IX. PROPOS. XVIII.</head>
          <p>
            <s xml:id="echoid-s1045" xml:space="preserve">POrtionem metalli, alterimetallo miſtam, ponde-
              <lb/>
            ris ratiocinatione diſcernere.</s>
            <s xml:id="echoid-s1046" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1047" xml:space="preserve">QVONIAM de Hieronis corona facta eſt mentio, ſit ea B,
              <lb/>
            eiuſque grauitas EK, & </s>
            <s xml:id="echoid-s1048" xml:space="preserve">oporteat argentum, quod ſit in ea permixtũ,
              <lb/>
            ab auro diſcernere, hoc eſt oporteat inuenire quanta erit portio ar-
              <lb/>
              <figure xlink:label="fig-0066-01" xlink:href="fig-0066-01a" number="21">
                <image file="0066-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01"/>
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            genti, & </s>
            <s xml:id="echoid-s1049" xml:space="preserve">quanta auri. </s>
            <s xml:id="echoid-s1050" xml:space="preserve">In-
              <lb/>
            telligantur duo corpora
              <lb/>
            A, D, vnum aureum, al-
              <lb/>
            terum argenteum æque
              <lb/>
            grauia atque corona,,
              <lb/>
            deinde trium corporum
              <lb/>
            ex aqua, magnitudine,
              <lb/>
            æqualium, aureo ſcili-
              <lb/>
            cet corpori vnum, alte-
              <lb/>
            rum coronæ, tertium
              <lb/>
            corpori argenteo, inue-
              <lb/>
            niantur grauitates, id autem poterit fieri facillime, ſi accipiãtur duo
              <lb/>
            corpora vnum ex auro, alterum ex argento, grauitate quacunque, </s>
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