Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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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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ARCHIMEDIS
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            quadratum b d; </s>
            <s xml:space="preserve">in humidum demiſſa, & </s>
            <s xml:space="preserve">poſi-
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            ta inclinata adeo, ut baſis ipſius non contingat
              <lb/>
            humidum; </s>
            <s xml:space="preserve">conſiſtet inclinata, ita ut baſis in uno
              <lb/>
            puncto humidi ſuperficiem contingat: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis cũ
              <lb/>
            ea faciat angulum angulo φ æqualem.</s>
            <s xml:space="preserve"/>
          </p>
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        <div type="section" level="1" n="50">
          <head xml:space="preserve">IIII.</head>
          <p>
            <s xml:space="preserve">Si portio ad humidum in grauitate maiorem
              <lb/>
              <anchor type="note" xlink:label="note-0084-01a" xlink:href="note-0084-01"/>
            quidem proportionem habeat, quàm quadra-
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            tum f p ad quadratum b d; </s>
            <s xml:space="preserve">minorem uero,
              <lb/>
            quàm quadratum x o ad b d quadratum; </s>
            <s xml:space="preserve">in hu-
              <lb/>
            midum demiſſa, & </s>
            <s xml:space="preserve">inclinata adeo, ut baſis ipſius
              <lb/>
            non contingat humidum conſiſtet, & </s>
            <s xml:space="preserve">manebit
              <lb/>
            ita, ut baſis in humidum magis demergatur.</s>
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          </p>
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            <note position="left" xlink:label="note-0084-01" xlink:href="note-0084-01a" xml:space="preserve">B</note>
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        <div type="section" level="1" n="51">
          <head xml:space="preserve">V.</head>
          <p>
            <s xml:space="preserve">Si portio ad humidum in grauitate proportio
              <lb/>
            nem habeat minorem, quàm quadratum f p ad
              <lb/>
            quadratum b d: </s>
            <s xml:space="preserve">demiſſa in humidum, & </s>
            <s xml:space="preserve">poſita
              <lb/>
            inclinata adeo ut baſis ipſius non contingat humi
              <lb/>
            dum: </s>
            <s xml:space="preserve">conſiſtet inclinata, ita ut axis ipſius cum
              <lb/>
            humidi ſuperficie angulum faciat minorem an-
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            gulo φ: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">baſis nullo modo ſuperficiem humi-
              <lb/>
            di contingat. </s>
            <s xml:space="preserve">Hæc autem omnia deinceps de-
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            monſtrabuntur.</s>
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