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

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002401">
                <pb pagenum="458" xlink:href="010/01/466.jpg"/>
                <arrow.to.target n="marg617"/>
                <lb/>
              fiſtula putei, & hæc eſt ratio quare in anguſtiſſimis fi­
                <lb/>
              ſtulis, & canalibus tenuiſſimis aqua nedùm tardè de­
                <lb/>
              fluit, ſed aliquando omninò eius motus, & caſus im­
                <lb/>
              peditur, vt ſuperiùs declarauimus. </s>
            </p>
            <p type="margin">
              <s id="s.002402">
                <margin.target id="marg617"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002403">
                <emph type="center"/>
              PROP. CCXVIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002404">
                <emph type="center"/>
                <emph type="italics"/>
              In eiſdem fiſtulis inæqualitèr ad horizontem inclinatis velo­
                <lb/>
              citates aquæ fluentis ſubduplicatam proportionem
                <expan abbr="habẽt">habent</expan>
              ,
                <lb/>
              non longitudinum, ſed ſublimitatum perpendicularium
                <lb/>
              carum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002405">POſtea ſi eædem duæ fiſtulæ inæqualitèr ad hori­
                <lb/>
              zontem fuerint inclinatæ, fluxus eiuſdem fluidi
                <lb/>
              in eis fient velocitatibus ſubduplicatè proportiona­
                <lb/>
              libus, non quidem longitudinibus earum, ſed vertica­
                <lb/>
              libus altitudinibus; propterea quod demonſtrarunt
                <lb/>
                <arrow.to.target n="marg618"/>
                <lb/>
              Galileus, & Torricellius, quòd ſi idem mobile fera­
                <lb/>
              tur per planum inclinatum, & verticale, itaut ambo
                <lb/>
              eamdem eleuationem habeant, ſi tamen
                <expan abbr="initiũ">initium</expan>
              vtriuſ­
                <lb/>
              que motus à quiete fiat, in fine vtriuſque deſcenſus,
                <lb/>
              acquiret mobile eumdem gradum velocitatis. </s>
              <s id="s.002406">Hinc
                <lb/>
              conſtat, quòd in duabus fiſtulis inæqualitèr ad hori­
                <lb/>
              zontem inclinatis velocitates quibus idem fluidum̨
                <lb/>
              ab infimis orificijs egreditur, correſpondere quidem
                <lb/>
              debeant non longitudinibus fiſtularum, ſed earum̨
                <lb/>
              eleuationibus. </s>
            </p>
            <p type="margin">
              <s id="s.002407">
                <margin.target id="marg618"/>
              Galil. de mo­
                <lb/>
              tu grauium
                <lb/>
              deſcend. </s>
              <s id="s.002408">lib.
                <lb/>
              2. ſcol. </s>
              <s id="s.002409">pr. 2
                <lb/>
              & Tor. lib. 1.
                <lb/>
              prop. 5.</s>
            </p>
            <p type="main">
              <s id="s.002410">
                <emph type="center"/>
              PROP. CCXIX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002411">
                <emph type="center"/>
                <emph type="italics"/>
              Velocitates quibus aqua egreditur ab infimis fiſtularum ori­
                <lb/>
              ficijs illæ eædem ſunt, quibus eadem aqua intra cauitates
                <lb/>
              canalium mouetur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002412">OVia ſemper æqualibus temporibus æquales a-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum