Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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          <p>
            <s xml:id="echoid-s4356" xml:space="preserve">
              <pb o="147" file="527.01.147" n="147" rhead="*DE* H*YDROSTATICES ELEMENTIS.*"/>
            experientiæ manifeſtè repugnat. </s>
            <s xml:id="echoid-s4357" xml:space="preserve">Quamobrem minor aquæ copia A B C D
              <lb/>
            premit fundum C D æquivalenter majori C D E F.</s>
            <s xml:id="echoid-s4358" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div618" type="section" level="1" n="444">
          <head xml:id="echoid-head462" xml:space="preserve">3 Exemplum.</head>
          <p>
            <s xml:id="echoid-s4359" xml:space="preserve">Vas A B C D aquæ plenum, cujus fundum D C horizonti parallelum ro-
              <lb/>
            tundo foramine pertundatur, quod ligneus tegat orbis G H materie quàm
              <lb/>
            aqua levior. </s>
            <s xml:id="echoid-s4360" xml:space="preserve">Exponatur deinde vas alterum I K L ſuperiori quidem æquealtum,
              <lb/>
            ſed minus & </s>
            <s xml:id="echoid-s4361" xml:space="preserve">aquæ item plenum, cujus fundũ ad M N perforatum æqualiter an-
              <lb/>
            tecedenti E F, & </s>
            <s xml:id="echoid-s4362" xml:space="preserve">orbe quoque O P ipſi G H æquali obtegatur. </s>
            <s xml:id="echoid-s4363" xml:space="preserve">Quibus poſitis,
              <lb/>
            orbis G H contra communem ligni naturam vimq́ue ingenitam ex aqua non
              <lb/>
            emerget, ſed foramini E F incumbens tam valenter premet quàm columna
              <lb/>
            aquea E F Q R multata differentiâ ponde-
              <lb/>
              <figure xlink:label="fig-527.01.147-01" xlink:href="fig-527.01.147-01a" number="208">
                <image file="527.01.147-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.147-01"/>
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            rũ lignei orbis G H & </s>
            <s xml:id="echoid-s4364" xml:space="preserve">aquæ ipſi æqualis. </s>
            <s xml:id="echoid-s4365" xml:space="preserve">Et
              <lb/>
            quî experimento hoc cognoſcas, orbi G H
              <lb/>
            libram affigito, cujus pondus S ponderi di-
              <lb/>
            cto æquale ſit, eritq́ue orbis G H ipſi æqui-
              <lb/>
            libris. </s>
            <s xml:id="echoid-s4366" xml:space="preserve">Similiter firmato ad orbem O P li-
              <lb/>
            bram, cujus pondus T ſuperiori S æque-
              <lb/>
            ponderet, orbisq́ue hic O P ponderi T ma-
              <lb/>
            nebit æquilibris. </s>
            <s xml:id="echoid-s4367" xml:space="preserve">auctis autem ponderibus
              <lb/>
            S, T, orbes G H, O P attollentur, atque
              <lb/>
            adeò hâc viâ deprehĕdes orbes iſtos in fun-
              <lb/>
            da ſubjecta æqualem impreſsionem facere; </s>
            <s xml:id="echoid-s4368" xml:space="preserve">unde propoſiti veritas perſpicitur
              <lb/>
            videlicet minorem aquæ molem I K L tam validè quàm majorem A B C D
              <lb/>
            premere fundum ſibi ſubjectum.</s>
            <s xml:id="echoid-s4369" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div620" type="section" level="1" n="445">
          <head xml:id="echoid-head463" xml:space="preserve">NOTATO.</head>
          <p>
            <s xml:id="echoid-s4370" xml:space="preserve">Si differentia ponderis orbis G H à pondere ãquæ ſibi æqualis, excederet
              <lb/>
            columnam aqueam E F Q R, orbem G H iſtic non hæſurum ſed à foramine
              <lb/>
            ſurſum emerſurum.</s>
            <s xml:id="echoid-s4371" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4372" xml:space="preserve">Præterea ſi diſcus G H eſſet è plumbo, fervovè, aut alia materiâ graviore
              <lb/>
            quam aqua formatus, ejus in ſubjectum foramen impreſsionem fore tantam,
              <lb/>
            quanta ſit columnæ aqueę E F Q R auctæ differentia ponderis, quę inter H or-
              <lb/>
            bem dictum & </s>
            <s xml:id="echoid-s4373" xml:space="preserve">aquæ molem ſibi æqualem intercedit.</s>
            <s xml:id="echoid-s4374" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4375" xml:space="preserve">Denique ſi G H materiâ eſſet aquæ æquilibri, impreſſionem ejus in fora-
              <lb/>
            men E F, columnæ aqueæ E F Q R, æqualem fore.</s>
            <s xml:id="echoid-s4376" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div621" type="section" level="1" n="446">
          <head xml:id="echoid-head464" xml:space="preserve">4 Exemplum.</head>
          <p>
            <s xml:id="echoid-s4377" xml:space="preserve">Eſto A B C D vas aquę plenum, cujus fundum C D pertuſum ſit ſpatio E F
              <lb/>
            atque ipſi incumbat orbis diſcusve materię levioris quam
              <lb/>
              <figure xlink:label="fig-527.01.147-02" xlink:href="fig-527.01.147-02a" number="209">
                <image file="527.01.147-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.147-02"/>
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            aqua, is tantam impreſſionem faciet in foramen E F quan-
              <lb/>
            tam ſupra oſten dimus: </s>
            <s xml:id="echoid-s4378" xml:space="preserve">exponatur item tubulus I K L cu-
              <lb/>
            jus ſummum foramen I eâdem ſit altitudine cum A B,
              <lb/>
            imum eſto E F. </s>
            <s xml:id="echoid-s4379" xml:space="preserve">Canaliculus hic aqua oppletus tam vali-
              <lb/>
            dè parte inferna preſſabit orbem G H quam univerſa aqua
              <lb/>
            A B C D ipſi inſidens parte oppoſita, quia orbis G H ad-
              <lb/>
            ſcendet. </s>
            <s xml:id="echoid-s4380" xml:space="preserve">Atque adeò 1 ℔ aquę (tantæ enim aquæ capacem
              <lb/>
            fingo canaliculum) in orbe G H majorem efficientiam exerere poterit </s>
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