Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[61. ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[62. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.]
[63. PETITIONES.]
[64. THEOREMA I. PROPOSITIO I.]
[65. THEOREMA II. PROPOSITIO II.]
[66. THE OREMA III. PROPOSITIO III.]
[67. THE OREMA IIII. PROPOSITIO IIII.]
[68. ALITER.]
[69. THEOREMA V. PROPOSITIO V.]
[70. COROLLARIVM.]
[71. THEOREMA VI. PROPOSITIO VI.]
[72. THE OREMA VII. PROPOSITIO VII.]
[73. THE OREMA VIII. PROPOSITIO VIII.]
[74. THE OREMA IX. PROPOSITIO IX.]
[75. PROBLEMA I. PROPOSITIO X.]
[76. PROBLEMA II. PROPOSITIO XI.]
[77. PROBLEMA III. PROPOSITIO XII.]
[78. PROBLEMA IIII. PROPOSITIO XIII.]
[79. THEOREMA X. PROPOSITIO XIIII.]
[80. THE OREMA XI. PROPOSITIO XV.]
[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.]
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        <div type="section" level="1" n="62">
          <head xml:space="preserve">FEDERICI COMMANDINI
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          VRBINATIS LIBER DE CENTRO
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          GRAVITATIS SOLIDORVM.
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          DIFFINITIONES.</head>
          <p>
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              <emph style="sc">CEntrvm</emph>
            grauitatis, Pappus
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            Alexandrinus in octauo ma-
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            thematicarum collectionum
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            libro ita diffiniuit.</s>
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          </p>
          <p style="it">
            <s xml:space="preserve">λέγομεν δἐ κἐντρον βάρ
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            ους ἑκά στου σἀ
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              <lb/>
            ματος {εἶ}ναι σημ\~ειον τικείμενον ἑντὸς, ἀφ
              <unsure/>
              <lb/>
            οὖ κα\’τ ἐποίνιαν ἀρτηθέν τό βάρ
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            ος ἡμερ{εἶ}
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            φερ
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            όμενον, καὶ φυλὰσσει τήν ἐξἀρχ\~νςθἐ-
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            σιν, οὐ μὴ περιτρ
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            επ ὸμενον ἐντῆ φορ
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            ᾶ. </s>
            <s xml:space="preserve">hoc eſt,</s>
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          <p>
            <s xml:space="preserve">Dicimus autem centrum grauitatis uniuſcu-
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            inſque corporis punctum quoddam intra poſi-
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            cum, à quo ſi graue appenſum mente concipia-
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            tur, dum fertur quieſcit; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſeruat eam, quam in
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            principio habebat poſitionem: </s>
            <s xml:space="preserve">neque in ipſa la-
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            tione circumuertitur.</s>
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          </p>
          <p>
            <s xml:space="preserve">Poſſumus etiam hoc modo diffinire.</s>
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          </p>
          <p>
            <s xml:space="preserve">Centrum grauitatis uniuſcuiuſque ſolidæ figu
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            ræ eſt punctum illud intra poſitum, circa quod
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            undique partes æqualium momentorum conſi-
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            ſtunt. </s>
            <s xml:space="preserve">ſi enim per tale centrum ducatur planum
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            figuram quomodocunque ſecans ſemper in par-</s>
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