Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000181">
                <pb pagenum="39" xlink:href="010/01/047.jpg"/>
                <arrow.to.target n="marg40"/>
                <lb/>
              ret, comprimeretque ſubiectam aquam BC, quod eſt
                <lb/>
              contra aduerſarij hypotheſim; eadem ratione vniuer­
                <lb/>
              ſa aqua ABC nil ponderabit, ne que comprimet ſub­
                <lb/>
              iectam laminam aqueam CD, & tota aqua AD nec
                <lb/>
              etiam comprimet aut grauitatem inferet ſupra infe­
                <lb/>
              riorem
                <expan abbr="aquã">aquam</expan>
              DE; idipſum procul dubio affirmari de­
                <lb/>
              bet de reliquis omnibus laminulis fluidis totam alti­
                <lb/>
              tudinem aquæ componentibus, & hoc optima ratio­
                <lb/>
              ne de duximus,
                <expan abbr="quãdo">quando</expan>
              quidem ſeriem corporum iner­
                <lb/>
              tium & nil prorſus deorſum impellentium nemo ſanæ
                <lb/>
              mentis affirmabit vim compreſſiuam deorsùm exer­
                <lb/>
              cere, imò concedet æquè operari ac ſi eſſet vnica ſin­
                <lb/>
              gularis laminula, vel dicet ſubiectum corpus à nihilo
                <lb/>
              comprimi, & è contra ſeries corporum vim
                <expan abbr="impulſiuã">impulſiuam</expan>
                <lb/>
                <expan abbr="habentiũ">habentium</expan>
              exercet vim pro menſura multiplicati cor­
                <lb/>
              poris, & hoc ſanè lumine naturæ
                <expan abbr="cõſtat">conſtat</expan>
              , hinc deduci­
                <lb/>
              tur infimam laminam aqueam MN noſtri vaſis nullam
                <lb/>
              compreſſionem pati ab vniuerſa aqua ſuperpoſitą
                <lb/>
              MA non ſecùs ac ſi à nihilo premeretur vnde fit vt in­
                <lb/>
              ferior pars aquea MN ablata qua MA tanta vi præ­
                <lb/>
              cisè comprimat vaſis fundum NO ac ſi ſuperſtaret
                <lb/>
              immenſa moles aquea NA, ſed illa ob ponderis exi­
                <lb/>
              guitatem haud ſenſibilem vim vitreo fundo infert,
                <lb/>
              nec ipſum inflectit, aut diſrumpit, igitur neque
                <expan abbr="vitrũ">vitrum</expan>
                <lb/>
              inflectetur aut
                <expan abbr="cõſtringetur">conſtringetur</expan>
              quando altiſſima moles a­
                <lb/>
              quea NA ei ſuperponitur; quia verò hoc euidentiæ
                <lb/>
              ſenſus repugnat affirmandum eſt, aquam licèt in ipſa­
                <lb/>
              met aqua iners & quieſcens videatur, neceſſariò gra­
                <lb/>
              uitatem exercere. </s>
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