Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[1. None]
[2. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBRI DVO. A FEDERICO COMMANDINO VRBINATE IN PRISTINVM NITOREM RESTITVTI, ET COMMENTARIIS ILLVSTRATI.]
[3. CVM PRIVILEGIO IN ANNOS X. BONONIAE,]
[4. M D LXV.]
[5. RANVTIO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[6. Federicus Commandinus.]
[7. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER PRIMVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. POSITIO.]
[8. PROPOSITIO I.]
[9. PROPOSITIO II.]
[10. PROPOSITIO III.]
[11. PROPOSITIO IIII.]
[12. PROPOSITIO V.]
[13. PROPOSITIO VI.]
[14. PROPOSITIO VII.]
[15. POSITIO II.]
[16. COMMENTARIVS.]
[17. PROPOSITIO VIII.]
[18. COMMENTARIVS.]
[19. PROPOSITIO IX.]
[20. COMMENTARIVS.]
[21. ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.]
[22. PROPOSITIO II.]
[23. COMMENTARIVS.]
[24. PROPOSITIO III.]
[25. PROPOSITIO IIII.]
[26. COMMENTARIVS.]
[27. PROPOSITIO V.]
[28. COMMENTARIVS.]
[29. PROPOSITIO VI.]
[30. COMMENTARIVS.]
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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
              <lb/>
            b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
              <lb/>
            humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
              <lb/>
            cto humidi ſuperficiem contingat. </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis cum ipſa faciat
              <lb/>
            angulum angulo φ æqualem.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <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"/>
            </figure>
            <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"/>
            </figure>
            <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"/>
            </figure>
            <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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        </div>
        <div type="section" level="1" n="55">
          <head xml:space="preserve">COMMENTARIVS.</head>
          <p style="it">
            <s xml:space="preserve">_Hoc eſt quadratum t p ad quadratum b d.</s>
            <s xml:space="preserve">]_ Ex uigeſima
              <lb/>
              <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
              <lb/>
            na quinti erit quadratum t p æquale quadrato x o: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propterea li
              <lb/>
            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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          <p style="it">
            <s xml:space="preserve">_Et portiones ipſæ æquales erunt.</s>
            <s xml:space="preserve">]_ Ex uigeſimaquinta eiuſ-
              <lb/>
              <anchor type="note" xlink:label="note-0093-02a" xlink:href="note-0093-02"/>
            dem libri.</s>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="2">
            <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
              <lb/>
              <anchor type="note" xlink:label="note-0093-03a" xlink:href="note-0093-03"/>
              <anchor type="figure" xlink:label="fig-0093-01a" xlink:href="fig-0093-01"/>
            quoniam
              <lb/>
            in portio
              <lb/>
            nibus æ-
              <lb/>
            qualibus,
              <lb/>
            & </s>
            <s xml:space="preserve">ſimili-
              <lb/>
            bus a o q
              <lb/>
            l, a p m l.</s>
            <s xml:space="preserve">]
              <lb/>
            _In portio-_
              <lb/>
            _ne enim a p_
              <lb/>
            _m l deſcri-_
              <lb/>
            _batur por-_
              <lb/>
            _tio a o q æ-_
              <lb/>
            _qualis por_
              <lb/>
            _tioni i p m_,
              <lb/>
            _cadet pun-_
              <lb/>
            _ctum q in-_
              <lb/>
            _fram, alio-_
              <lb/>
            _qui totum parti eſſet æquale. </s>
            <s xml:space="preserve">Ducatur deinde i u æquidiſtans a q_,</s>
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