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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000044">
                <pb pagenum="4" xlink:href="010/01/012.jpg"/>
                <arrow.to.target n="marg3"/>
                <lb/>
              tur, hocque earum deſiderium expleri minimè poſſit
                <lb/>
              niſi mediante motu, igitur ceſſante fine neceſſariò
                <lb/>
              medium quoque ceſſat, ſcilicet quando non poteſt
                <lb/>
              graue aliquod magis, quàm prius ad terræ centrum
                <lb/>
              accedere, tunc nequaquam mouebitur. </s>
              <s id="s.000045">ex quo ſequi­
                <lb/>
              tur vt prædicta corpora quieſcant, quandoquidem ſi
                <lb/>
              mouerentur, aut deberent à centro telluris recedere
                <lb/>
              & remoueri, vel lateraliter circumferri, in primo ca­
                <lb/>
              ſu ſequeretur operatio contraria naturali inſtinctui
                <lb/>
              grauium, quod eſt impoſſibile; in ſecundo verò caſu
                <lb/>
              efficeretur operatio vanæ, & ſi fruſtratoria, nil enim
                <lb/>
              graue præterea acquireret cùm non amplius ad terræ
                <lb/>
              centru accedere poſſet ex hypotheſi, abſurdum verò
                <lb/>
              eſt atque repugnat naturam operari caſu, & abſque
                <lb/>
              fine; igitur eſt impoſſibile vt corpora, quæ ad
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              terræ accedere nequeunt, vllo pacto moueantur; qua
                <lb/>
              propter neceſſe eſt vt in eodem ſitu fixè quieſcant in
                <lb/>
              quo prius degebant. </s>
            </p>
            <p type="margin">
              <s id="s.000046">
                <margin.target id="marg3"/>
              Cap. 2. de
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000047">
                <emph type="center"/>
                <emph type="italics"/>
              SVPPOSITIO IV.
                <emph.end type="italics"/>
                <emph.end type="center"/>
                <lb/>
                <arrow.to.target n="marg4"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000048">
                <margin.target id="marg4"/>
              Archimedis
                <lb/>
              ſuppositio. </s>
            </p>
            <p type="main">
              <s id="s.000049">Præterea Archimedes ſuppoſuit vt primum prin­
                <lb/>
              cipium per ſe notum, quod eiuſdem fluidi conſiſten­
                <lb/>
              tis, partes quæ ſint continuatę in eodem plano hori­
                <lb/>
              zontali minus preſſæ debeant eijci expellique ſurſum
                <lb/>
                <expan abbr="perpẽdiculariter">perpendiculariter</expan>
              à partibus eiuſdem fluidi magis
                <expan abbr="cõpreſſis">com­
                  <lb/>
                preſſis</expan>
              , hoc verò principium, licèt veriſſimum ſit, ha­
                <lb/>
              bet tamen aliquam obſcuritatem, cùm minimè eui­
                <lb/>
              dens ſit, quamobrem partes eiuſdem fluidi poſſint
                <lb/>
              magis, aut minus comprimi; nec pariter euidenter </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>