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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002492">
                <pb pagenum="473" xlink:href="010/01/481.jpg"/>
                <arrow.to.target n="marg646"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002493">
                <margin.target id="marg645"/>
              Prop. 221.</s>
            </p>
            <p type="margin">
              <s id="s.002494">
                <margin.target id="marg646"/>
              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.002495">Secundò ſint cylindri AC, DF aqua grauiores; o­
                <lb/>
              ſtendetur (ex prop. 221.) quod deſcenſus X ad de­
                <lb/>
              ſcenſum Z, eodem tempore T factum, eſt ſicuti altitu­
                <lb/>
              do GB ad DE, & hoc erat, &c. </s>
            </p>
            <p type="main">
              <s id="s.002496">
                <emph type="center"/>
              PROP. CCXXIX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002497">
                <emph type="center"/>
                <emph type="italics"/>
              Poſtea ſi duo coni homogenei baſes æquales, & inæquales al­
                <lb/>
              titudines habuerint, & verticibus ſursùm vergentibus,
                <lb/>
              itaut axes eorum ſemper inter ſe æquidistantes ſint, &
                <lb/>
              infra aquam exiſtentibus percurrant aſcendendo, vel
                <lb/>
              deſcendendo ſpatia æqualia; tempora contrario ordine re­
                <lb/>
              ſpondebunt ſubduplicatæ proportioni altitudinum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002498">SInt duo coni eiuſdem materiei ABC, DEF, ſed
                <lb/>
              primò aqua leuiores, eorum baſes BC, & EF æ­
                <lb/>
              quales ſint, altitudo verò illius maior ſit huius altitu­
                <lb/>
              dine, inter quas ponatur GB media proportionalis;
                <lb/>
              tendant verò ambo ſursùm præcedendo vertices A,
                <lb/>
              & D, vt eorum axes paralleli ſint,
                <expan abbr="percurrãtque">percurrantque</expan>
                <expan abbr="aſcẽ-dendo">aſcen­
                  <lb/>
                dendo</expan>
              ſpatia æqualia AH, & DN
                <lb/>
                <figure id="id.010.01.481.1.jpg" xlink:href="010/01/481/1.jpg" number="167"/>
                <lb/>
              nempe ABC tempore T, at DEF
                <lb/>
              tempore V; dico tempus V ad
                <expan abbr="tẽ-pus">ten­
                  <lb/>
                pus</expan>
              T eſſe vt GB ad DE; quia æ­
                <lb/>
              qualia ſpatia percurrunt ſursùm̨
                <lb/>
              aſcendendo ſolida ABC, DEF,
                <lb/>
              ergo ſuis baſibus æqualibus dere­
                <lb/>
              linquunt ſpatia æqualia, & æquè
                <lb/>
              alta IBCK, & OEFP, & ibidem̨
                <lb/>
              fluere debent æquales aquæ moles
                <lb/>
              conos ambientes, quæ è ſupremis locis expelli de­
                <lb/>
              bent, excurrunt verò prædictæ aquæ moles per ſi-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum