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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ARCHIMEDIS
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        <div type="section" level="1" n="49">
          <p>
            <s xml:space="preserve">
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            quadratum b d; </s>
            <s xml:space="preserve">in humidum demiſſa, & </s>
            <s xml:space="preserve">poſi-
              <lb/>
            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>
        </div>
        <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-
              <lb/>
            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>
            <s xml:space="preserve"/>
          </p>
          <div type="float" level="2" n="1">
            <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-
              <lb/>
            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-
              <lb/>
            monſtrabuntur.</s>
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