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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        <div type="section" level="1" n="53">
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              <pb file="0090" n="90" rhead="ARCHIMEDIS"/>
            _Quoniam igi_-
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              <anchor type="figure" xlink:label="fig-0090-01a" xlink:href="fig-0090-01"/>
            _tur portio con_-
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            _uertitur, ita ut_
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            _baſis humidum_
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            _non contingat_,
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            _axis cum ſuper_
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            _ficie eius faciet_
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            _angulum maio_-
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            _rem angulo g;_
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            </s>
            <s xml:space="preserve">_hoc est angulo_
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            _y: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propter_-
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            _ea multo maio_-
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            _rem angulo χ_.</s>
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          </p>
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            <note position="right" xlink:label="note-0089-04" xlink:href="note-0089-04a" xml:space="preserve">N</note>
            <note position="right" xlink:label="note-0089-05" xlink:href="note-0089-05a" xml:space="preserve">29. primi</note>
            <note position="right" xlink:label="note-0089-06" xlink:href="note-0089-06a" xml:space="preserve">16. primi</note>
            <figure xlink:label="fig-0090-01" xlink:href="fig-0090-01a">
              <image file="0090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0090-01"/>
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        <div type="section" level="1" n="54">
          <head xml:space="preserve">DEMONSTRATIO TERTIAE PARTIS.</head>
          <p>
            <s xml:space="preserve">HABEAT deinde portio ad humidum eam in graui-
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            tate proportionem, quam quadratũ x o habet ad quadra-
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            tum b d: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">in humidum demittatur adeo inclinata, ut ba-
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            ſis ipſius non con
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              <anchor type="figure" xlink:label="fig-0090-02a" xlink:href="fig-0090-02"/>
            tingat humidum.
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            </s>
            <s xml:space="preserve">Secta aũt ipſa per
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            axem plano ad hu
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            midi ſuperficiem
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            recto, ſolidi ſectio
              <lb/>
            ſit rectanguli co-
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            ni ſectio a p m l: </s>
            <s xml:space="preserve">ſu
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            perficiei humidi
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            ſectio ſit i m: </s>
            <s xml:space="preserve">axis
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            portionis, & </s>
            <s xml:space="preserve">ſe-
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            ctionis diameter
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            b d: </s>
            <s xml:space="preserve">ſeceturq; </s>
            <s xml:space="preserve">b d
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            ſicuti prius: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">du-
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            catur p n quidem</s>
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