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

Table of figures

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    <archimedes>
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        <body>
          <chap>
            <p type="main">
              <s id="s.000753">
                <pb pagenum="150" xlink:href="010/01/158.jpg"/>
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                <lb/>
              conſtringatur anguſteturque, & proinde incumbens
                <lb/>
              aqua velociori motu, & ideò impetu, & vi maiori
                <lb/>
              fluere cogatur per anguſtias C, quàm per amplum̨
                <lb/>
              alueum
                <expan abbr="BFQ">BFQ</expan>
              quare oportet vt vehementiùs, & ma­
                <lb/>
              iori impetu, & vi pars olei versùs C deorsùm com­
                <lb/>
              primatur, contundaturque quàm reliquæ partes olei
                <lb/>
              propinquiores vertici eius B, è contra aqua ſubiecta
                <lb/>
              CKIG reflectitur ſursùm, impellit, atque contundit
                <lb/>
              infimam baſim olei GC ea vi, & impetu quo collate­
                <lb/>
              ralis aqua FCPQ exceſſu ſuæ grauitatis ſuperat ſpe­
                <lb/>
              cificam olei ponderoſitatem. </s>
              <s id="s.000754">Patet ergo quod à dua­
                <lb/>
              bus viribus
                <expan abbr="cõtrarijs">contrarijs</expan>
              , veluti prælo, comprimitur
                <expan abbr="oleũ">oleum</expan>
                <lb/>
              BCG ſupernè ab impetu aquæ obliquè deſcenden­
                <lb/>
              tis per BC, & infernè à vi aquæ reflexæ oleum
                <expan abbr="ſursũ">ſursum</expan>
                <lb/>
              impellentis, cùmque vis, & compreſſio, quæ ſupernè
                <lb/>
              infertur, inæqualis ſit, vehementiori, & validiori vi
                <lb/>
              facta propè terminum C, & debiliori, verſus
                <expan abbr="verticẽ">verticem</expan>
                <lb/>
              B, impulſus verò ſubiectæ aquæ IKCG licèt vnifor­
                <lb/>
              mis ſit vbique, nihilominùs propter minorem
                <expan abbr="deſcẽ-dentis">deſcen­
                  <lb/>
                dentis</expan>
              aquæ obſiſtentiam in B, quàm versùs C ſit
                <lb/>
              vt vehementiùs oleum impellatur contundaturque à
                <lb/>
              ſubiecta aqua reflexa versùs axem IG vbi niſum
                <expan abbr="cõ-trarium">con­
                  <lb/>
                trarium</expan>
                <expan abbr="debiliorẽ">debiliorem</expan>
              offendit quàm versùs latera A, &
                <lb/>
              C, & propterea ſuperficies ſubiecta olei AGC exca­
                <lb/>
              uata erit ad modum ſcutellæ, & hoc quidem neceſ­
                <lb/>
              ſariò efficietur non à vi intrinſeca, & naturali leuita­
                <lb/>
              tis ipſius olei, ſed à ſuppoſita energia grauitatis
                <lb/>
              fluidi ambientis, quod fuerat demonſtrandum. </s>
            </p>
          </chap>
        </body>
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