Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[81.] THE OREMA XII. PROPOSITIO XVI.
[82.] THE OREMA XIII. PROPOSITIO XVII.
[83.] THEOREMA XIIII. PROPOSITIO XVIII.
[84.] THEOREMA XV. PROPOSITIO XIX.
[85.] THE OREMA XVI. PROPOSITIO XX.
[86.] THEOREMA XVII. PROPOSITIO XXI.
[87.] THE OREMA XVIII. PROPOSITIO XXII.
[88.] THEOREMA XIX. PROPOSITIO XXIII.
[89.] PROBLEMA V. PROPOSITIO XXIIII.
[90.] THEOREMA XX. PROPOSITIO XXV.
[91.] THEOREMA XXI. PROPOSITIO XXVI.
[92.] THEOREMA XXII. PROPOSITIO XXVII.
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
[96.] THEOREMA XXV. PROPOSITIO XXXI.
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
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            <s xml:id="echoid-s2739" xml:space="preserve">
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            cum adhuc Cardinalis eſſet, mihi, quæ ſua erat hu-
              <lb/>
            manitas, libros eiuſdem Archimedis de ijs, quæ ve-
              <lb/>
            huntur in aqua, latine redditos dono dedit. </s>
            <s xml:id="echoid-s2740" xml:space="preserve">hos cum
              <lb/>
            ego, ut aliorum ſtudia incitarem, emendãdos, & </s>
            <s xml:id="echoid-s2741" xml:space="preserve">cõ-
              <lb/>
            mentariis illuſtrandos ſuſcepiſſem, animaduerti dubi
              <lb/>
            tari non poſſe, quin Archimedes vel de hac materia
              <lb/>
            ſcripſiſſet, vel aliorum mathematicorum ſcripta per-
              <lb/>
            legiſſet. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">nam in iis tum alia nonnulla, tum maxime
              <lb/>
            illam propoſitionem, ut euidentem, & </s>
            <s xml:id="echoid-s2743" xml:space="preserve">aliàs proba-
              <lb/>
            tam aſſumit, Centrũ grauitatis in portionibus conoi
              <lb/>
            dis rectan guli axem ita diuidere, vt pars, quæ ad verti
              <lb/>
            cem terminatur, alterius partis, quæ ad baſim dupla
              <lb/>
            ſit. </s>
            <s xml:id="echoid-s2744" xml:space="preserve">Verum hæc ad eam partem mathematicarum
              <lb/>
            diſciplinarum præcipue refertur, in qua de centro
              <lb/>
            grauitatis corporum ſolidorum tractatur. </s>
            <s xml:id="echoid-s2745" xml:space="preserve">non eſt au
              <lb/>
            tem conſentaneum Archimedem illum admirabilem
              <lb/>
            virum hanc propoſitionem ſibi argumentis con-
              <lb/>
            firmandam exiſtimaturum non fuiſſe, niſi eam vel
              <lb/>
            aliis in locis probauiſſet, vel ab aliis probatam eſſe
              <lb/>
            comperiſſet. </s>
            <s xml:id="echoid-s2746" xml:space="preserve">quamobrem nequid in iis libris intel-
              <lb/>
            ligendis deſiderari poſſet, ſtatui hanc etiam partem
              <lb/>
            vel à veteribus prætermiſſam, vel tractatam quidem,
              <lb/>
            ſed in tenebris iacentem, non intactam relinquere;
              <lb/>
            </s>
            <s xml:id="echoid-s2747" xml:space="preserve">atque ex aſsidua mathematicorum, præſertim Archi-
              <lb/>
            medis lectione, quæ mihi in mentem venerunt, ea in
              <lb/>
            medium afferre; </s>
            <s xml:id="echoid-s2748" xml:space="preserve">ut centri grauitatis corporum ſoli-
              <lb/>
            dorum, ſi non perfectam, at certe aliquam </s>
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