Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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              <pb o="8" file="0027" n="27" rhead="DE IIS QVAE VEH. IN AQVA."/>
            neas; </s>
            <s xml:space="preserve">neutra alteri obſistit, quo minus moueatur; </s>
            <s xml:space="preserve">ídq; </s>
            <s xml:space="preserve">continenter
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            fiat, dum portio in rectum fuerit conſtituta: </s>
            <s xml:space="preserve">tunc enim utrarumque
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            magnitudinum grauitatis centra in unam, eandémq; </s>
            <s xml:space="preserve">perpendicula-
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            rum conueniunt, uidelicet in axem portionis: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">quanto conatu, im
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            petùue ea, quæ in humido eſt ſurſum, tanto quæ extra humidum de-
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            orſum per eandem lineam contendit. </s>
            <s xml:space="preserve">quare cum altera alteram non
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            ſuperet, non amplius mouebitur portio; </s>
            <s xml:space="preserve">ſed conſiſtet, manebítq; </s>
            <s xml:space="preserve">in
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            eodem ſemper ſitu; </s>
            <s xml:space="preserve">niſi forte aliqua cauſſa extrinſecus acceſſerit.</s>
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            <note position="left" xlink:label="note-0026-04" xlink:href="note-0026-04a" xml:space="preserve">F</note>
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        <div type="section" level="1" n="19">
          <head xml:space="preserve">PROPOSITIO IX.</head>
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              <emph style="sc">Qvòd</emph>
            ſi figura humido leuior in humidum
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            demittatur, ita ut baſis tota ſit in humido; </s>
            <s xml:space="preserve">inſide
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            bit recta, ita ut axis ipſius ſecundum perpendicu
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            larem conſtituatur.</s>
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            <s xml:space="preserve">INTELLIGATVR enim magnitudo aliqua, qua-
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            lis dicta eſt, in humidum demiſſa: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">intelligatur planum
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            per axem portionis, & </s>
            <s xml:space="preserve">per centrum terræ ductum: </s>
            <s xml:space="preserve">ſitq; </s>
            <s xml:space="preserve">ſu
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            perficiei quidem humidi ſectio a b c d circunferentia; </s>
            <s xml:space="preserve">figu
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            ræ autem ſectio circun ferentia e f h: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſit e h recta linea:
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            </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">axis portionis f t. </s>
            <s xml:space="preserve">Si igitur fieri poteſt, non ſit f t ſecun
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            dum perpendicularem.</s>
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            <image file="0027-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0027-01"/>
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            <s xml:space="preserve">Demonſtrandum eſt non
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            manerefiguram; </s>
            <s xml:space="preserve">ſed in re
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            ctum reſtitui. </s>
            <s xml:space="preserve">eſt autem
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            centrum ſphæræ in linea
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            f t: </s>
            <s xml:space="preserve">rurſus enim ſit figu-
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            ra primo maior dimidia
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            ſphæra: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſphæræ centrũ
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            in dimidia ſphæra ſit pun-
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            ctum t; </s>
            <s xml:space="preserve">in minore portione p; </s>
            <s xml:space="preserve">in maiori uero ſit _k_: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">per
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            _k_, & </s>
            <s xml:space="preserve">terræ centrum l ducatur _k_ l. </s>
            <s xml:space="preserve">Itaque figura quæ eſt
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              <anchor type="note" xlink:label="note-0027-01a" xlink:href="note-0027-01"/>
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