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

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              <pb o="34" file="0046" n="46" rhead="PROMOTVS"/>
            argentei 54 {22/57}, quare corpus aureum ad corpus argenteum eiuſdem
              <lb/>
            magnitudinis, rationem babebit in grauitate, vt 100, ad 54 {22/57}.</s>
            <s xml:id="echoid-s824" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s825" xml:space="preserve">Quæro, quomodo ſe babet in grauitate aqua ad vinum quoniam
              <lb/>
            aqua grauior est vino, intelligatur eius grauitas 100, & </s>
            <s xml:id="echoid-s826" xml:space="preserve">quoniam in
              <lb/>
            linea aquæ, ſub titulo vini, datur vini grauitas 98 {1/3}, aqua ad vinum
              <lb/>
            ſe babebit in gran
              <unsure/>
            itate, vt 100, ad 98 {1/3}.</s>
            <s xml:id="echoid-s827" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s828" xml:space="preserve">Contra quæro quomodo ſe babent in magnitudine argentum, & </s>
            <s xml:id="echoid-s829" xml:space="preserve">
              <lb/>
            aurum. </s>
            <s xml:id="echoid-s830" xml:space="preserve">intelligatur argentum, vt leuius auro, magni
              <unsure/>
            tudinem babere
              <lb/>
            100, & </s>
            <s xml:id="echoid-s831" xml:space="preserve">in linea auri, ſub titulo argenti, quæratur auri magnitudo, ea
              <lb/>
            erit 54 {22/57}, argentum igit
              <unsure/>
            r ad aurum ſe babebit in magnitudine, vt
              <lb/>
            100, ad 54 {22/57}, ſi enim ſumantur duo corpora æque grauia, vnum
              <lb/>
            argenteum, alterum aureum, ſit autem argentei corporis magnitudo
              <lb/>
            100, erit aurei 54 {22/57}, quare corpus argenteum, ad corpus aureum
              <lb/>
            eiuſdem grauitatis, ſe babebit in magnitudine, vt 100, ad 54 {22/57}.</s>
            <s xml:id="echoid-s832" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s833" xml:space="preserve">Quæro denique quomodo ſe babent in magnitudine aqua & </s>
            <s xml:id="echoid-s834" xml:space="preserve">ar-
              <lb/>
            gentum viuum. </s>
            <s xml:id="echoid-s835" xml:space="preserve">quoniam aqua leuior est argento viuo, intelligatur
              <lb/>
            eius magnitudo 100, & </s>
            <s xml:id="echoid-s836" xml:space="preserve">in linea argenti viui, ſub titulo aquæ, quæ-
              <lb/>
            ratur argenti viui magnitudo, & </s>
            <s xml:id="echoid-s837" xml:space="preserve">reperietur 7 {7/19}, aqua igitur ad
              <lb/>
            argentum viuum ſe babebit in magnitudine, vt 100, ad 7 {7/19}.</s>
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          </p>
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        <div xml:id="echoid-div59" type="section" level="1" n="34">
          <head xml:id="echoid-head37" xml:space="preserve">Hic ſequitur tabula, ad inueniendas ſphærarum grauita-
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          tes, ex data diametrorum magnitudine, cuius hæc eſt
            <lb/>
          explicatio.</head>
          <p style="it">
            <s xml:id="echoid-s839" xml:space="preserve">In dimetiendis ſphærarum diametris vtimur pede Romano anti-
              <lb/>
            quo, cuius menſuram in margine appoſuimus, eaque reſpondet ad Ro-
              <lb/>
            mani palmi, quo bodie vtimur, menſuram vt 4, ad 3, buiuſmodi pe-
              <lb/>
            dem diuidimus in duodecim partes æquales, ſeu vncias, quas inuenies
              <lb/>
            in prima Columna ſub titulo magnitudinis.</s>
            <s xml:id="echoid-s840" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s841" xml:space="preserve">Ponderibus autem vtimur bac nostra tempeſtate vſitatis, libram
              <lb/>
            enim diuidimus in 12, vncias vnciam vero in 24, ſcrupula, & </s>
            <s xml:id="echoid-s842" xml:space="preserve">ſcru-
              <lb/>
            pulum in 24, grana. </s>
            <s xml:id="echoid-s843" xml:space="preserve">Ad inueniendas igitur ſpbærarum grauitates ex
              <lb/>
            data diametrorum magnitudine, bæc eritratio.</s>
            <s xml:id="echoid-s844" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s845" xml:space="preserve">Quæris grauitatem ſphæræ plumbeæ, diametrum babentis 3, vn-
              <lb/>
            ci
              <unsure/>
            arum, inſpice tabulam, & </s>
            <s xml:id="echoid-s846" xml:space="preserve">in linea trium vnciarum, ſub titulo gra-
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            uitatis plumbeæ ſphæræ, deprebendes ipſam ſphæram grauitatem ba-
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            bere lib. </s>
            <s xml:id="echoid-s847" xml:space="preserve">7, vnc. </s>
            <s xml:id="echoid-s848" xml:space="preserve">4, ſcru. </s>
            <s xml:id="echoid-s849" xml:space="preserve">13, gran. </s>
            <s xml:id="echoid-s850" xml:space="preserve">22 {26
              <unsure/>
            /37}.</s>
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          </p>
          <p style="it">
            <s xml:id="echoid-s852" xml:space="preserve">Rurſus, quæris grauitatem ſphæræ aureæ, diametrum babentis 6,
              <lb/>
            vnciarum. </s>
            <s xml:id="echoid-s853" xml:space="preserve">in linea 6, vnciarum, ſub titulo grauitatis aureæ </s>
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