Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Page concordance

< >
Scan Original
701
702
703
704 (115)
705 (116)
706 (117)
707 (118)
708 (119)
709 (120)
710 (121)
711 122
712 123
713 124
714
715
716
717 125
718 126
719 127
720 128
721
722
723
724 (129)
725 (130)
726 (131)
727 (132)
728 (133)
729 (134)
730 (135)
< >
page |< < ((117)) of 824 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div2455" type="section" level="1" n="614">
          <p>
            <s xml:id="echoid-s16428" xml:space="preserve">
              <pb o="(117)" file="0639" n="706" rhead="MATHEMATICA LIB. IV. CAP. III."/>
            cunque, eandem Terricolœ imaginantur ſphæram, ad quam
              <lb/>
            corpora cœleſtia referunt; </s>
            <s xml:id="echoid-s16429" xml:space="preserve">& </s>
            <s xml:id="echoid-s16430" xml:space="preserve">quam, in ſequentibus, nomina-
              <lb/>
            bimus ſphœram ſtellarum fixarum.</s>
            <s xml:id="echoid-s16431" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16432" xml:space="preserve">Hiſce poſitis, ſi per Tellurem, & </s>
            <s xml:id="echoid-s16433" xml:space="preserve">corpus, lineam concipia-
              <lb/>
              <note position="right" xlink:label="note-0639-01" xlink:href="note-0639-01a" xml:space="preserve">991.</note>
            mus, quœ ultra corpus continuata ſphœram memoratam ſecat,
              <lb/>
            habemus punctum, ad quod corpus memoratum refertur, & </s>
            <s xml:id="echoid-s16434" xml:space="preserve">
              <lb/>
            quod eſt locus apparens corporis.</s>
            <s xml:id="echoid-s16435" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16436" xml:space="preserve">Dum corpus, aut Tellus, aut ambo, moventur, agitatur
              <lb/>
            hæc linea, & </s>
            <s xml:id="echoid-s16437" xml:space="preserve">motus apparens eſt linea, quam inter ſtellas
              <lb/>
              <note position="right" xlink:label="note-0639-02" xlink:href="note-0639-02a" xml:space="preserve">992.</note>
            fixas deſcribit extremitas lineœ memoratæ, tranſeuntis per
              <lb/>
            Tellurem & </s>
            <s xml:id="echoid-s16438" xml:space="preserve">corpus, cujus motus apparens obſervatur.</s>
            <s xml:id="echoid-s16439" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16440" xml:space="preserve">Idcirco eœdem apparentiœ ex tranſlatâ Tellure ſequuntur,
              <lb/>
              <note position="right" xlink:label="note-0639-03" xlink:href="note-0639-03a" xml:space="preserve">993.</note>
            quàm ex tranſlato corpore, & </s>
            <s xml:id="echoid-s16441" xml:space="preserve">eædem etiam ex motu amborum
              <lb/>
            deduci poßunt.</s>
            <s xml:id="echoid-s16442" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16443" xml:space="preserve">Si autem Corpus & </s>
            <s xml:id="echoid-s16444" xml:space="preserve">Tellus ita moveantur, ut linea, quœ
              <lb/>
              <note position="right" xlink:label="note-0639-04" xlink:href="note-0639-04a" xml:space="preserve">994.</note>
            per bœc corpora tranſit, motu parallelo feratur, corpus in-
              <lb/>
            ter ſtellas fixas quieſcere videbitur; </s>
            <s xml:id="echoid-s16445" xml:space="preserve">quia ſpatium, in hoc
              <lb/>
            caſu, ab extremitate lineæ inter ſtellas percurſum, non
              <lb/>
            poteſt ſuperare ſpatium à Tellure percurſum; </s>
            <s xml:id="echoid-s16446" xml:space="preserve">linea autem
              <lb/>
            æqualis toti ſpatio, quod à Tellure poteſt percurri, ad diſtan-
              <lb/>
            tiam ſtellarum fixarum remota, nobis ſenſibilis non eſt.</s>
            <s xml:id="echoid-s16447" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16448" xml:space="preserve">Ex motu Telluris circa axem etiam datur motus apparens,
              <lb/>
              <note position="right" xlink:label="note-0639-05" xlink:href="note-0639-05a" xml:space="preserve">995.</note>
            qui ſuo tempore, ex fundamentis in hoc capite poſitis, fa-
              <lb/>
            cilè deducetur.</s>
            <s xml:id="echoid-s16449" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16450" xml:space="preserve">Motum apparentem à relativo differre, & </s>
            <s xml:id="echoid-s16451" xml:space="preserve">ex motu ſpe-
              <lb/>
            ctatoris variari, navigantes quotidie experiuntur.</s>
            <s xml:id="echoid-s16452" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div2469" type="section" level="1" n="615">
          <head xml:id="echoid-head801" xml:space="preserve">CAPUT III.</head>
          <head xml:id="echoid-head802" style="it" xml:space="preserve">De Phœnomenis Solis ex motu Telluris in orbitâ.</head>
          <p>
            <s xml:id="echoid-s16453" xml:space="preserve">SIt Sol in S; </s>
            <s xml:id="echoid-s16454" xml:space="preserve">Tellus in orbitâ ſuâ in T; </s>
            <s xml:id="echoid-s16455" xml:space="preserve">rs ſphæra ſtella-
              <lb/>
              <note position="right" xlink:label="note-0639-06" xlink:href="note-0639-06a" xml:space="preserve">
                <emph style="sc">TAB. XXI</emph>
              .
                <lb/>
              fig. 1.</note>
            rum fixarum; </s>
            <s xml:id="echoid-s16456" xml:space="preserve">locus apparens Solis eſt s . </s>
            <s xml:id="echoid-s16457" xml:space="preserve">Dum
              <note position="right" xlink:label="note-0639-07" xlink:href="note-0639-07a" xml:space="preserve">996.</note>
            in orbit â transfertur à Tin t, Sol moveri videtur, & </s>
            <s xml:id="echoid-s16458" xml:space="preserve">percur-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0639-08" xlink:href="note-0639-08a" xml:space="preserve">991.</note>
            rere arcum s r , qui menſurat angulum r S s,
              <note symbol="*" position="right" xlink:label="note-0639-09" xlink:href="note-0639-09a" xml:space="preserve">992.</note>
            angulo T S t; </s>
            <s xml:id="echoid-s16459" xml:space="preserve">ita, ut celeritas motus apparentis Solis pen-
              <lb/>
            deat, à celeritate motus angularis Telluris, reſpectu centri
              <lb/>
            Solis; </s>
            <s xml:id="echoid-s16460" xml:space="preserve">qui motus ex duplici cauſâ creſcit; </s>
            <s xml:id="echoid-s16461" xml:space="preserve">ex imminutâ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum