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

Table of figures

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[171. Figure]
[172. Figure]
[173. Figure]
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[175. Figure]
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            <p type="main">
              <s id="s.000826">
                <pb pagenum="164" xlink:href="010/01/172.jpg"/>
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            </p>
            <p type="margin">
              <s id="s.000827">
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              Noua
                <expan abbr="argu-mẽta">argu­
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                menta</expan>
              eiuſd
                <expan abbr="eiuſdẽ">eiuſdem</expan>
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              Authoris
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              pro leuitate
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              poſitiua.</s>
            </p>
            <p type="margin">
              <s id="s.000828">
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              Cap. 4. poſi­
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              tiuam leui­
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              tatem noņ
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              dari.</s>
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            <p type="main">
              <s id="s.000829">
                <emph type="center"/>
              PROP. LXXIX.
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              </s>
            </p>
            <p type="main">
              <s id="s.000830">
                <emph type="center"/>
                <emph type="italics"/>
              Lignum in aqua aſcendens ſaltu ſupra eius libellam exilit
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              ob impetum acquiſitum in præcedenti motu, licèt per
                <lb/>
              extruſionem fiat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000831">PRo reſponſione ponamus cylindrum ligneum in
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              fundo aquæ. </s>
              <s id="s.000832">Dico quòd ſi id moueatur ſursùm
                <lb/>
              ab intrinſeca vilenitatis, vel ab extruſione medij flui­
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              di aquei, neceſſariò velocitas eius dum aſcendit
                <expan abbr="cõ-tinentèr">con­
                  <lb/>
                tinentèr</expan>
              augebitur, quia dum ſursùm
                <expan abbr="aſcẽdit">aſcendit</expan>
              in quo­
                <lb/>
              libet temporis inſtanti, eadem virtus motiua, aut le­
                <lb/>
              uitatis, aut externi impulſus, quæ ſemper eadem, &
                <lb/>
              eiuſdem energiæ eſt, pariterque extruſio à medio
                <lb/>
              fluido paritèr efficitur ab eadem virtute impulſiua,
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              quæ eſt differentia, vel exceſſus ponderis aquæ ſu­
                <lb/>
              pra pondus ligni aſcendentis, cùmque gradus velo­
                <lb/>
              citatum à ligno acquiſiti ob impulſiones ei illatas
                <expan abbr="">non</expan>
                <lb/>
              ſubitò extinguantur, ſed perſeuerent, vt dictum eſt,
                <lb/>
              igitur ſubſequentes impulſiones imprimuntur ei mo­
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                <arrow.to.target n="marg210"/>
                <lb/>
              bili non inerti, ſed iam agitati à præcedentibus im­
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              preſſis velocitatibus, & proindè ſucceſſiuo incre­
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              mento augebitur gradus impetus eiuſdem ligni
                <expan abbr="aſcẽ-dentis">aſcen­
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                dentis</expan>
              . </s>
              <s id="s.000833">Igitur mirum non eſt, cylindrum ligneum̨,
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              quando iam acquiſiuit inſignem gradum impetus à
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              continuato impulſu, & preſſione aquæ circumfuſæ,
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              ſiuè ab interna eius leuitate poſitiua, mirum,
                <expan abbr="inquã">inquam</expan>
              ,
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              non eſt ſi ab aqua proſiliat, & ſursùm extra aquæ ſu­
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              perficiem propellatur: non igitur ſignum
                <expan abbr="neceſſariũ">neceſſarium</expan>
              </s>
            </p>
          </chap>
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