Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[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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DE IIS QVAE VEH. IN AQVA.
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              <pb o="41" file="0093" n="93" rhead="DE IIS QVAE VEH. IN AQVA."/>
            ſtrabitur portionem, quæ ad humidum in grauitate eandẽ
              <lb/>
            proportionem habeat, quàm quadratum p f ad quadratũ
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            b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
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            humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
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            cto humidi ſuperficiem contingat. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis cum ipſa faciat
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            angulum angulo φ æqualem.</s>
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            <figure xlink:label="fig-0090-02" xlink:href="fig-0090-02a">
              <image file="0090-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0090-02"/>
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            <note position="right" xlink:label="note-0091-01" xlink:href="note-0091-01a" xml:space="preserve">B</note>
            <note position="right" xlink:label="note-0091-02" xlink:href="note-0091-02a" xml:space="preserve">C</note>
            <figure xlink:label="fig-0091-01" xlink:href="fig-0091-01a">
              <image file="0091-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0091-01"/>
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            <note position="right" xlink:label="note-0091-03" xlink:href="note-0091-03a" xml:space="preserve">D</note>
            <figure xlink:label="fig-0092-01" xlink:href="fig-0092-01a">
              <image file="0092-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0092-01"/>
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            <note position="left" xlink:label="note-0092-01" xlink:href="note-0092-01a" xml:space="preserve">E</note>
            <note position="left" xlink:label="note-0092-02" xlink:href="note-0092-02a" xml:space="preserve">F</note>
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          <head xml:space="preserve">COMMENTARIVS.</head>
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            <s xml:space="preserve">_Hoc eſt quadratum t p ad quadratum b d.</s>
            <s xml:space="preserve">]_ Ex uigeſima
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              <anchor type="note" xlink:label="note-0093-01a" xlink:href="note-0093-01"/>
            ſexta libri Archimedis de conoidibus, & </s>
            <s xml:space="preserve">ſphæroidibus. </s>
            <s xml:space="preserve">ergo ex no
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            na quinti erit quadratum t p æquale quadrato x o: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propterea li
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            nea t p lineæ x o æqualis.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <note position="right" xlink:label="note-0093-01" xlink:href="note-0093-01a" xml:space="preserve">A</note>
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            <s xml:space="preserve">_Et portiones ipſæ æquales erunt.</s>
            <s xml:space="preserve">]_ Ex uigeſimaquinta eiuſ-
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              <anchor type="note" xlink:label="note-0093-02a" xlink:href="note-0093-02"/>
            dem libri.</s>
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            <note position="right" xlink:label="note-0093-02" xlink:href="note-0093-02a" xml:space="preserve">B</note>
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            <s xml:space="preserve">Rurſus
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            quoniam
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            in portio
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            nibus æ-
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            qualibus,
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            & </s>
            <s xml:space="preserve">ſimili-
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            bus a o q
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            l, a p m l.</s>
            <s xml:space="preserve">]
              <lb/>
            _In portio-_
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            _ne enim a p_
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            _m l deſcri-_
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            _batur por-_
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            _tio a o q æ-_
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            _qualis por_
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            _tioni i p m_,
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            _cadet pun-_
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            _ctum q in-_
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            _fram, alio-_
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            _qui totum parti eſſet æquale. </s>
            <s xml:space="preserve">Ducatur deinde i u æquidiſtans a q_,</s>
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