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.002498">
                <pb pagenum="474" xlink:href="010/01/482.jpg"/>
                <arrow.to.target n="marg647"/>
                <lb/>
              phones, non quidem ad
                <expan abbr="horizõtem">horizontem</expan>
              perpendiculares,
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              ſed inclinatos, prout ſuperficies conorum
                <expan abbr="inclinãtur">inclinantur</expan>
              ,
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              habentque ſiphones oriſicia ferè æqualia IL OM, &
                <lb/>
              eorum altitudines inæquales, ergo duæ moles aquæ
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              æquales deſluunt temporibus reciprocè proportio­
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                <arrow.to.target n="marg648"/>
                <lb/>
              nalibus ſubduplicatæ rationi altitudinum; quare
                <expan abbr="tẽ-pus">ten­
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                pus</expan>
              V, quo ſolidum DEF aſcendit
                <expan abbr="ſpatiũ">ſpatium</expan>
              DN, ad
                <expan abbr="tẽ-pus">tem­
                  <lb/>
                pus</expan>
              T, quo ſolidum ABC percurrit ſpatium AH æ­
                <lb/>
              quale ipſi DN, eamdem proportionem habebit,
                <expan abbr="quã">quam</expan>
                <lb/>
              altitudo GB ad altitudinem DE. </s>
            </p>
            <p type="margin">
              <s id="s.002499">
                <margin.target id="marg647"/>
              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
            </p>
            <p type="margin">
              <s id="s.002500">
                <margin.target id="marg648"/>
              Prop. 223.</s>
            </p>
            <p type="main">
              <s id="s.002501">Ijſdem poſitis ſi aſcenſus fiant æqualibus tempo­
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              ribus (ſemper tamen infra aquæ libellam), ſpatia ab
                <lb/>
              eis exacta habebunt ſubduplicatam proportionem̨
                <lb/>
              altitudinum. </s>
            </p>
            <p type="main">
              <s id="s.002502">Hoc profectò facilè oſtendetur eadem methodo
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              ſuperiùs expoſita. </s>
              <s id="s.002503">Idemque concludetur in conorum
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              deſcenſu. </s>
            </p>
            <p type="main">
              <s id="s.002504">
                <emph type="center"/>
              PROP. CCXXX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002505">
                <emph type="center"/>
                <emph type="italics"/>
              Iiſdem datis ſi tantummodò conorum baſes præcedant, &
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              ſursùm reſpiciant, & æquidiſtantes horizonti, & ſupre­
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              mæ aquæ libellæ; idem prorsùs concludetur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002506">NAm ſemper aqua è ſuperno loco expelli debet
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              ad occupanda infima ſpatia à conis derelicta,
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              neque hoc fieri poteſt abſque eo quòd aqua circum­
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              circa per ſiphones rotundos, cauos, inclinatoſquę
                <lb/>
              defluat, & quia celeritates fluxus aquæ in prædictis
                <lb/>
              ſi phonibus determinant velocitates aſcenſuum; hinc
                <lb/>
              ſequitur vt motus ſursùm conorum legibus
                <expan abbr="ſiphonũ">ſiphonum</expan>
                <lb/>
              ſubijciantur, ſcilicèt aſcenſus conorum eodem tem-</s>
            </p>
          </chap>
        </body>
      </text>
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