Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of Notes

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          <pb o="6" file="0023" n="23" rhead="DE IIS QVAE VEH. IN AQVA."/>
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          <head xml:id="echoid-head19" xml:space="preserve">COMMENTARIVS.</head>
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            <s xml:id="echoid-s347" xml:space="preserve">AT ucro ea, quæ feruntur deorſum, ſecundum perpendicula-
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            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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          <head xml:id="echoid-head20" xml:space="preserve">PROPOSITIO VIII.</head>
          <p>
            <s xml:id="echoid-s349" xml:space="preserve">SI aliqua magnitudo ſolida leuior humido,
              <lb/>
              <note position="right" xlink:label="note-0023-01" xlink:href="note-0023-01a" xml:space="preserve">A</note>
            quæ figuram portionis ſphæræ habeat, in humi-
              <lb/>
              <note position="right" xlink:label="note-0023-02" xlink:href="note-0023-02a" xml:space="preserve">B</note>
            dum demittatur, ita vt baſis portionis non tan-
              <lb/>
            gat humidum: </s>
            <s xml:id="echoid-s350" xml:space="preserve">figura inſidebit recta, ita vt axis
              <lb/>
            portionis ſit ſecundum perpendicularem. </s>
            <s xml:id="echoid-s351" xml:space="preserve">Et ſi
              <lb/>
            ab aliquo inclinetur figura, vt baſis portionis hu-
              <lb/>
            midum cõtingat; </s>
            <s xml:id="echoid-s352" xml:space="preserve">non manebit inclinata ſi demit
              <lb/>
            tatur, ſed recta reſtituetur.</s>
            <s xml:id="echoid-s353" xml:space="preserve"/>
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            <s xml:id="echoid-s354" xml:space="preserve">[INTELLIGATVR quædam magnitudo, qualis
              <lb/>
              <note position="right" xlink:label="note-0023-03" xlink:href="note-0023-03a" xml:space="preserve">Suppleta
                <lb/>
              a Federi-
                <lb/>
              co Cõm.</note>
            dicta eſt, in humidum demiſſa: </s>
            <s xml:id="echoid-s355" xml:space="preserve">& </s>
            <s xml:id="echoid-s356" xml:space="preserve">ducatur planum per axẽ
              <lb/>
            portionis, & </s>
            <s xml:id="echoid-s357" xml:space="preserve">per terræ
              <lb/>
              <figure xlink:label="fig-0023-01" xlink:href="fig-0023-01a" number="12">
                <image file="0023-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0023-01"/>
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            centrum, ut ſit ſuperfi-
              <lb/>
            ciei humidi ſectio circũ
              <lb/>
            ferentia a b c d: </s>
            <s xml:id="echoid-s358" xml:space="preserve">& </s>
            <s xml:id="echoid-s359" xml:space="preserve">figu-
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            ræ ſectio e f h circunfe-
              <lb/>
            rentia: </s>
            <s xml:id="echoid-s360" xml:space="preserve">ſit autem e h
              <lb/>
            recta linea; </s>
            <s xml:id="echoid-s361" xml:space="preserve">& </s>
            <s xml:id="echoid-s362" xml:space="preserve">f t axis
              <lb/>
            portionis. </s>
            <s xml:id="echoid-s363" xml:space="preserve">Si igitur in-
              <lb/>
            clinetur figura, ita ut a-
              <lb/>
            xis portionis f t non ſit
              <lb/>
            ſecundum perpendicu-
              <lb/>
            larem. </s>
            <s xml:id="echoid-s364" xml:space="preserve">demonſtrandum eſt, non manere ipſam figu-
              <lb/>
            ram; </s>
            <s xml:id="echoid-s365" xml:space="preserve">ſed in rectum reſtitui. </s>
            <s xml:id="echoid-s366" xml:space="preserve">Itaque centrum ſphæræ </s>
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