Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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          <pb file="0016" n="16" rhead="ARCHIMEDIS"/>
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          <head xml:id="echoid-head13" xml:space="preserve">PROPOSITIO III.</head>
          <p>
            <s xml:id="echoid-s171" xml:space="preserve">
              <emph style="sc">Solidarvm</emph>
            magnitudinum, quæ æqualẽ
              <lb/>
            molem habentes æque graues ſunt, atque humi-
              <lb/>
            dum; </s>
            <s xml:id="echoid-s172" xml:space="preserve">in humidum demiſſæ demergentur ita, vt
              <lb/>
            ex humidi ſuperficie nihil extet: </s>
            <s xml:id="echoid-s173" xml:space="preserve">non tamen ad
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            huc deorſum ferentur.</s>
            <s xml:id="echoid-s174" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s175" xml:space="preserve">SIT magnitudo aliqua æque grauis, atque humidum:
              <lb/>
            </s>
            <s xml:id="echoid-s176" xml:space="preserve">& </s>
            <s xml:id="echoid-s177" xml:space="preserve">ſi fieri poteſt, in humidum demiſſa extet ex ſuperficie ip
              <lb/>
            ſius: </s>
            <s xml:id="echoid-s178" xml:space="preserve">conſiſtat autem humidum, maneatq;</s>
            <s xml:id="echoid-s179" xml:space="preserve">: & </s>
            <s xml:id="echoid-s180" xml:space="preserve">intelligatur
              <lb/>
            aliquod planum ductũ
              <lb/>
              <figure xlink:label="fig-0016-01" xlink:href="fig-0016-01a" number="6">
                <image file="0016-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0016-01"/>
              </figure>
            per cẽtrum terræ, & </s>
            <s xml:id="echoid-s181" xml:space="preserve">hu
              <lb/>
            midi, ac per ſolidam ma
              <lb/>
            gnitudinem, ut ſit ſuper
              <lb/>
            ficiei quidem humidi ſe
              <lb/>
            ctio a b c d; </s>
            <s xml:id="echoid-s182" xml:space="preserve">ſolidæ uero
              <lb/>
            magnitudinis inſiden-
              <lb/>
            tis e h t f; </s>
            <s xml:id="echoid-s183" xml:space="preserve">& </s>
            <s xml:id="echoid-s184" xml:space="preserve">terræ cen-
              <lb/>
            trum k: </s>
            <s xml:id="echoid-s185" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s186" xml:space="preserve">ſolidæ ma-
              <lb/>
            gnitudinis pars, quæ in
              <lb/>
            humido eſt, b h t c; </s>
            <s xml:id="echoid-s187" xml:space="preserve">& </s>
            <s xml:id="echoid-s188" xml:space="preserve">
              <lb/>
            quæ extra humidum b e f c. </s>
            <s xml:id="echoid-s189" xml:space="preserve">intelligatur etiam ſolida figu-
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            ra comprehenſa pyramide, baſim quidem habente paralle
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            logrammum, quod eſt in ſuperficie humidi; </s>
            <s xml:id="echoid-s190" xml:space="preserve">uerticem au-
              <lb/>
            tem centrum terræ: </s>
            <s xml:id="echoid-s191" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s192" xml:space="preserve">ſectio plani, in quo eſt a b c d cir-
              <lb/>
            cunferentia, & </s>
            <s xml:id="echoid-s193" xml:space="preserve">planorum pyramidis k l, k m: </s>
            <s xml:id="echoid-s194" xml:space="preserve">& </s>
            <s xml:id="echoid-s195" xml:space="preserve">deſcriba-
              <lb/>
            tur quædam alterius ſphæræ ſuperficies x o p circa centrũ
              <lb/>
            k, in humido ſub e f h t, ut ſit ipſa x o p ſectio facta à ſuper fi
              <lb/>
            cie plani. </s>
            <s xml:id="echoid-s196" xml:space="preserve">Sumatur præterea alia quædam pyramis æqua-
              <lb/>
            lis, & </s>
            <s xml:id="echoid-s197" xml:space="preserve">ſimilis comprehendenti ſolidam figuram, ipſi </s>
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