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.000500">
                <pb pagenum="102" xlink:href="010/01/110.jpg"/>
                <arrow.to.target n="marg121"/>
                <lb/>
              nicam rationem
                <expan abbr="deſumptã">deſumptam</expan>
              à maiori, vel minori gra­
                <lb/>
              uitate, quæ deducitur ex Archimedis doctrina, quòd
                <lb/>
              ſcilicèt fluidum grauius per extruſionem impellerę
                <lb/>
                <expan abbr="ſursũ">ſursum</expan>
              debeat corpora minùs grauia, & hæc eſt cauſa,
                <lb/>
              quare abſque poſitiua leuitate corpora ſursùm
                <expan abbr="aſcẽ-dere">aſcen­
                  <lb/>
                dere</expan>
              debent. </s>
            </p>
            <p type="margin">
              <s id="s.000501">
                <margin.target id="marg121"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000502">
                <expan abbr="Cõtra">Contra</expan>
                <expan abbr="perſpicuitatẽ">perſpicuitatem</expan>
              ſupradicti ratiocinij
                <expan abbr="obijciũt">obijciunt</expan>
                <lb/>
              primò, quòd
                <emph type="italics"/>
              ſicuti grauiora intra minùs grauia merſa fe­
                <lb/>
              runtur deorsùm tanta vi, quæ ſit æqualis differentiæ gra­
                <lb/>
              uitatis mobilis ſupra grauitatem medij, constat euidentèr
                <lb/>
              euenturum proportion alitèr in leuioribus intra minùs leuia
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg122"/>
                <lb/>
                <emph type="italics"/>
              contentis ea ſcilicèt in ordine ad leuitatem, ſursùm, non niti
                <lb/>
              ſecundùm menſuram exceſſus ſupra minùs leue ſursùm ni­
                <lb/>
              ſura, vt ſimilis ratio perſuadet.
                <emph.end type="italics"/>
              </s>
              <s id="s.000503"> Hoc ſuppoſito veluti cer­
                <lb/>
              tum, & euidens reſpondet argumento ſuperius addu­
                <lb/>
              cto, aitque
                <emph type="italics"/>
              expirationem calidam reſpectu aquæ valdè le­
                <lb/>
              uem ſecundùm menſuram totius ſuæ leuitatis ſursùm niti
                <lb/>
              intra aquam, ac proindè valere ad reſiſtentiam illius cele­
                <lb/>
              ritèr ſuperandam, at verò valdè exiguum exceſſum ſupra
                <lb/>
              aerem obtinentem in leuitate ſursùm niti præcisè ſecundum
                <lb/>
              menſuram talis exceſſus, ac proindè non eſſe mirum ſi lentè
                <lb/>
              per aerem aſcendat etiamſi dicatur à leuitate poſitiua in­
                <lb/>
              trinſeca moueri.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000504">
                <margin.target id="marg122"/>
              Denuò ad­
                <lb/>
              miſſa leuita­
                <lb/>
              te colligunt
                <lb/>
              ignem cele­
                <lb/>
              riùs per a
                <lb/>
              quam, quam
                <lb/>
              per aerem̨
                <lb/>
                <expan abbr="aſcẽdere">aſcendere</expan>
              de­
                <lb/>
              bere.</s>
            </p>
            <p type="main">
              <s id="s.000505">Itaque ſicuti nos ex Archimedis doctrina deduci­
                <lb/>
              mus rationem deſcenſus grauium, & aſcenſus
                <expan abbr="leuiũ">leuium</expan>
                <lb/>
              ex hac ſuppoſitione, quòd corpora omnia ſubluna­
                <lb/>
              ria ſint grauia, ſibi perſuadent demonſtrare poſſe ea­
                <lb/>
              dem symptomata ſupponendo nedùm corpora aſcen­
                <lb/>
              dentia, ſed etiam medium fluidum, in quo
                <expan abbr="aſcendũt">aſcendunt</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>