Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb file="0096" n="96" rhead="ARCHIMEDIS"/>
            minor erit: </s>
            <s xml:id="echoid-s2518" xml:space="preserve">linea uero b c maior, quàm b s: </s>
            <s xml:id="echoid-s2519" xml:space="preserve">& </s>
            <s xml:id="echoid-s2520" xml:space="preserve">s r; </s>
            <s xml:id="echoid-s2521" xml:space="preserve">hoc eſt m χ ma-
              <lb/>
            ior, quàm c r, hoc eſt, quàm p y: </s>
            <s xml:id="echoid-s2522" xml:space="preserve">& </s>
            <s xml:id="echoid-s2523" xml:space="preserve">propterea χ t minor, quàm y f.
              <lb/>
            </s>
            <s xml:id="echoid-s2524" xml:space="preserve">quòd cum p y ſit dupla y f, erit m χ maior, quàm dupla y f; </s>
            <s xml:id="echoid-s2525" xml:space="preserve">& </s>
            <s xml:id="echoid-s2526" xml:space="preserve">
              <lb/>
            multo maior, quàm dupla χ t. </s>
            <s xml:id="echoid-s2527" xml:space="preserve">fiat m h dupla ipſius h t: </s>
            <s xml:id="echoid-s2528" xml:space="preserve">& </s>
            <s xml:id="echoid-s2529" xml:space="preserve">copu-
              <lb/>
            lata h k producatur. </s>
            <s xml:id="echoid-s2530" xml:space="preserve">I am grauitatis centrum totius portionis erit
              <lb/>
            punctum k: </s>
            <s xml:id="echoid-s2531" xml:space="preserve">eius, quæ in humido est, h: </s>
            <s xml:id="echoid-s2532" xml:space="preserve">at rel iquæ partis, quæ ex-
              <lb/>
            tra humidum in linea h k producta; </s>
            <s xml:id="echoid-s2533" xml:space="preserve">quod ſit ω. </s>
            <s xml:id="echoid-s2534" xml:space="preserve">eodem modo demon
              <lb/>
            strabitur, & </s>
            <s xml:id="echoid-s2535" xml:space="preserve">lineam k h, & </s>
            <s xml:id="echoid-s2536" xml:space="preserve">quæ per h ω puncta ipſi k h æquidi-
              <lb/>
            ſtantes ducuntur, ad humidi ſuperficiem perpendiculares eſſe. </s>
            <s xml:id="echoid-s2537" xml:space="preserve">non
              <lb/>
            igitur maneb it
              <lb/>
              <figure xlink:label="fig-0096-01" xlink:href="fig-0096-01a" number="62">
                <image file="0096-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0096-01"/>
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            portio, ſed cum
              <lb/>
            uſque eò inclina-
              <lb/>
            ta fuerit, ut in
              <lb/>
            uno puncto con-
              <lb/>
            tingat ſuperfi-
              <lb/>
            cié humidi, tunc
              <lb/>
            conſiſtet. </s>
            <s xml:id="echoid-s2538" xml:space="preserve">an-
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            gulus enim ad n
              <lb/>
            angulo ad φ æ-
              <lb/>
            qualis erit; </s>
            <s xml:id="echoid-s2539" xml:space="preserve">li-
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            neáq; </s>
            <s xml:id="echoid-s2540" xml:space="preserve">b s lineæ
              <lb/>
            b c; </s>
            <s xml:id="echoid-s2541" xml:space="preserve">& </s>
            <s xml:id="echoid-s2542" xml:space="preserve">s r ipſi
              <lb/>
            c r. </s>
            <s xml:id="echoid-s2543" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s2544" xml:space="preserve">m h
              <lb/>
            ipſi p y eſt æqua
              <lb/>
            lis. </s>
            <s xml:id="echoid-s2545" xml:space="preserve">Itaque ducta
              <lb/>
            h k producatur.
              <lb/>
            </s>
            <s xml:id="echoid-s2546" xml:space="preserve">erit totius portionis grauitatis centrum K; </s>
            <s xml:id="echoid-s2547" xml:space="preserve">eius, quæ in humido eſt
              <lb/>
            h; </s>
            <s xml:id="echoid-s2548" xml:space="preserve">& </s>
            <s xml:id="echoid-s2549" xml:space="preserve">reliquæ partis centrum in linea producta; </s>
            <s xml:id="echoid-s2550" xml:space="preserve">ſit autem ω. </s>
            <s xml:id="echoid-s2551" xml:space="preserve">per ean
              <lb/>
            dem igitur rectam lineam k h, quæ eſt ad humidi ſuperficiem perpen
              <lb/>
            dicularis, id quod in humido eſt ſurſum; </s>
            <s xml:id="echoid-s2552" xml:space="preserve">& </s>
            <s xml:id="echoid-s2553" xml:space="preserve">quod extra humidum de
              <lb/>
            orſum feretur. </s>
            <s xml:id="echoid-s2554" xml:space="preserve">atque ob hác cauſſam portio non amplius mouebitur; </s>
            <s xml:id="echoid-s2555" xml:space="preserve">
              <lb/>
            ſed conſiſtet, manebítq, ita, ut eius baſis ſuperficiem humidi in uno
              <lb/>
            punsto contingat; </s>
            <s xml:id="echoid-s2556" xml:space="preserve">& </s>
            <s xml:id="echoid-s2557" xml:space="preserve">axis, cum ipſa angulum faciat æqualem angulo
              <lb/>
            φ. </s>
            <s xml:id="echoid-s2558" xml:space="preserve">at que illud eſt, quod demonſtrare oportebat.</s>
            <s xml:id="echoid-s2559" xml:space="preserve"/>
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