Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[31. LEMMAI.]
[32. LEMMA II.]
[33. LEMMA III.]
[34. LEMMA IIII.]
[35. PROPOSITIO VII.]
[36. PROPOSITIO VIII.]
[37. COMMENTARIVS.]
[38. PROPOSITIO IX.]
[39. COMMENTARIVS.]
[40. PROPOSITIO X.]
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DE IIS QVAE VEH. IN AQVA.
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          <pb o="6" file="0023" n="23" rhead="DE IIS QVAE VEH. IN AQVA."/>
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          <head xml:space="preserve">COMMENTARIVS.</head>
          <p style="it">
            <s xml:space="preserve">AT ucro ea, quæ feruntur deorſum, ſecundum perpendicula-
              <lb/>
            rem, quæ per centrum grauit atis ipſorum ducitur, ſimiliter ferri,
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            uel tanquam notum, uel ut ab alijs poſitum prætermiſit.</s>
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        <div type="section" level="1" n="17">
          <head xml:space="preserve">PROPOSITIO VIII.</head>
          <p>
            <s xml:space="preserve">SI aliqua magnitudo ſolida leuior humido,
              <lb/>
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            quæ figuram portionis ſphæræ habeat, in humi-
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              <anchor type="note" xlink:label="note-0023-02a" xlink:href="note-0023-02"/>
            dum demittatur, ita vt baſis portionis non tan-
              <lb/>
            gat humidum: </s>
            <s xml:space="preserve">figura inſidebit recta, ita vt axis
              <lb/>
            portionis ſit ſecundum perpendicularem. </s>
            <s xml:space="preserve">Et ſi
              <lb/>
            ab aliquo inclinetur figura, vt baſis portionis hu-
              <lb/>
            midum cõtingat; </s>
            <s xml:space="preserve">non manebit inclinata ſi demit
              <lb/>
            tatur, ſed recta reſtituetur.</s>
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            <note position="right" xlink:label="note-0023-01" xlink:href="note-0023-01a" xml:space="preserve">A</note>
            <note position="right" xlink:label="note-0023-02" xlink:href="note-0023-02a" xml:space="preserve">B</note>
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            <s xml:space="preserve">[INTELLIGATVR quædam magnitudo, qualis
              <lb/>
              <anchor type="note" xlink:label="note-0023-03a" xlink:href="note-0023-03"/>
            dicta eſt, in humidum demiſſa: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ducatur planum per axẽ
              <lb/>
            portionis, & </s>
            <s xml:space="preserve">per terræ
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              <anchor type="figure" xlink:label="fig-0023-01a" xlink:href="fig-0023-01"/>
            centrum, ut ſit ſuperfi-
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            ciei humidi ſectio circũ
              <lb/>
            ferentia a b c d: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">figu-
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            ræ ſectio e f h circunfe-
              <lb/>
            rentia: </s>
            <s xml:space="preserve">ſit autem e h
              <lb/>
            recta linea; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">f t axis
              <lb/>
            portionis. </s>
            <s xml:space="preserve">Si igitur in-
              <lb/>
            clinetur figura, ita ut a-
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            xis portionis f t non ſit
              <lb/>
            ſecundum perpendicu-
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            larem. </s>
            <s xml:space="preserve">demonſtrandum eſt, non manere ipſam figu-
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            ram; </s>
            <s xml:space="preserve">ſed in rectum reſtitui. </s>
            <s xml:space="preserve">Itaque centrum ſphæræ eſt</s>
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