Archimedes, Archimedis De insidentibvs aqvae

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[21.] TERTIVS.
[22.] QVARTVS.
[23.] QVINTVS.
[24.] SEXTVS.
[25.] SEPTIMVS.
[26.] OCTAVVS.
[27.] NONVS.
[28.] DECIMVS.
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
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          <head xml:id="echoid-head28" xml:space="preserve">INSIDENTIBVS
            <lb/>
          AQV AE. LIB. II.</head>
          <head xml:id="echoid-head29" xml:space="preserve">PRIMVS.</head>
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            <s xml:id="echoid-s238" xml:space="preserve">SI a liqua magnitudo exiſtens leuior humi-
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            do, dimittatur in humidum; </s>
            <s xml:id="echoid-s239" xml:space="preserve">hanc habebit
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            proportionem in grauitate ad humidum
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            mobilis æqualis ſibi, quam habct demerſa
              <lb/>
            magnitudo ad totam magnitudinem.</s>
            <s xml:id="echoid-s240" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s241" xml:space="preserve">_D_Emittatur enim in bumidum aliqua magnitu-
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              <figure xlink:label="fig-0021-01" xlink:href="fig-0021-01a" number="16">
                <image file="0021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0021-01"/>
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            do ſolida, quàm ſit f, a, leuior bumido. </s>
            <s xml:id="echoid-s242" xml:space="preserve">Sit au-
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            tem quod quidem demerſum ipſum a, quod au-
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            tem extra humidum f, demonſtrandum quòd magni-
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            tudo f, a, ad humidum æqualis molis in grauitate, hanc
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            babet proportionem; </s>
            <s xml:id="echoid-s243" xml:space="preserve">quama, ad f, a. </s>
            <s xml:id="echoid-s244" xml:space="preserve">Accipiatur enim
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            aliqua humida magnitudo quàm ſit n, i, molis æqualis
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            cum f, a, & </s>
            <s xml:id="echoid-s245" xml:space="preserve">ipſi quidem f, ſit æqualen, ipſi autem a, i,
              <lb/>
            & </s>
            <s xml:id="echoid-s246" xml:space="preserve">adbuc grauitas quidem magnitudinis f, a, ſit b, ip-
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            ſius autem n, i, quær, o, ipſius autem, ir, magnitudo igi
              <lb/>
            turf, a, ad n, i, hanc habet proportionem quam graui-
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            tas b, ad grauit atem r, o, ſed quoniam magnitudof, a,
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            in humidum dimiſſa eſt leuior exiſtens bumido. </s>
            <s xml:id="echoid-s247" xml:space="preserve">Palam
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            quòd demeræſ magnitudinis moles humidi babet gra-
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            uitatem: </s>
            <s xml:id="echoid-s248" xml:space="preserve">æqualem cum magnitudine f, a, demonſtra-
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            tum eſt enim boc, & </s>
            <s xml:id="echoid-s249" xml:space="preserve">quoniam quod ſecundum a, humi-
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            dum est i, ipſius autemi, grauitas eſtr, ipſius autem f,
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            a, grauitas eſt b, grauitas b, quæ eſt babentis
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              <figure xlink:label="fig-0021-02" xlink:href="fig-0021-02a" number="17">
                <image file="0021-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0021-02"/>
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            æqualitate mole totius magnitudinis f, a, eſt
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            aqualis grauitati humidi i, ſcilicet ipſi r, & </s>
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            quoniam eſt, ut magnitudo f, a, ad humidum
              <lb/>
            quod ſecundum ipſam ſcilicet n, i, itab, o, ad
              <lb/>
            r, o, æquale autem eſt b, ipſt r, ut autemr, ad
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            ro, ita i, ad n, i, & </s>
            <s xml:id="echoid-s251" xml:space="preserve">a, adf, a, ut ergof, a, ad </s>
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