Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
31
31 		32
32
33
33 		34
34
35
35 		36
36
37
37 		38
38
39
39 		40
40
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="039/01/034.jpg" pagenum="6"/>
            <p>
              <s>
                <arrow.to.target n="note2"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note2"/>
              </s>
            </p>
            <p type="main">
              <s>II. </s>
              <s>Spatium Abſolutum, natura ſua abſque relatione ad externum
                <lb/>
              quodvis, ſemper manet ſimilare & immobile: Relativum eſt ſpatii
                <lb/>
              hujus menſura ſeu dimenſio quælibet mobilis, quæ a ſenſibus noſtris
                <lb/>
              per ſitum ſuum ad corpora definitur, & a vulgo pro ſpatio immo­
                <lb/>
              bili uſurpatur: uti dimenſio ſpatii ſubterranei, aerei vel cæleſtis
                <lb/>
              definita per ſitum ſuum ad Terram. </s>
              <s>Idem ſunt ſpatium abſolutum
                <lb/>
              & relativum, ſpecie & magnitudine; ſed non permanent idem ſem­
                <lb/>
              per numero. </s>
              <s>Nam ſi Terra, verbi gratia, movetur; ſpatium Aeris
                <lb/>
              noſtri, quod relative & reſpectu Terræ ſemper manet idem, nunc
                <lb/>
              erit una pars ſpatii abſoluti in quam Aer tranſit, nunc alia pars ejus;
                <lb/>
              & ſic abſolute mutabitur perpetuo. </s>
            </p>
            <p type="main">
              <s>III. </s>
              <s>Locus eſt pars ſpatii quam corpus occupat,
                <expan abbr="eſtq;">eſtque</expan>
              pro ratione
                <lb/>
              ſpatii vel Abſolutus vel Relativus. </s>
              <s>Pars, inquam, ſpatii; non Situs
                <lb/>
              corporis, vel Superficies ambiens. </s>
              <s>Nam ſolidorum æqualium
                <lb/>
              æquales ſemper ſunt loci; Superficies autem ob diſſimilitudinem
                <lb/>
              figurarum ut plurimum inæquales ſunt; Situs vero proprie loquen­
                <lb/>
              do quantitatem non habent,
                <expan abbr="neq;">neque</expan>
              tam ſunt loca quam affectiones
                <lb/>
              loeorum. </s>
              <s>Motus totius idem eſt cum ſumma motuum partium,
                <lb/>
              hoc eſt, tranſlatio totius de ſuo loco eadem eſt cum ſumma tranſla­
                <lb/>
              tionum partium de locis ſuis;
                <expan abbr="adeoq;">adeoque</expan>
              locus totius idem cum ſumma
                <lb/>
              loeorum partium, & propterea internus & in corpore toto. </s>
            </p>
            <p type="main">
              <s>IV. </s>
              <s>Motus Abſolutus eſt tranſlatio corporis de loco abſoluto in
                <lb/>
              locum abſolutum, Relativus de relativo in relativum. </s>
              <s>Sic in navi
                <lb/>
              quæ velis paſſis fertur, relativus corporis Locus eſt navigii regio illa
                <lb/>
              in qua corpus verſatur, ſeu cavitatis totius pars illa quam corpus
                <lb/>
              implet,
                <expan abbr="quæq;">quæque</expan>
              adeo movetur una cum navi: & Quies relativa eſt
                <lb/>
              permanſio corporis in eadem illa navis regione vel parte cavita­
                <lb/>
              tis. </s>
              <s>At quies Vera eſt permanſio corporis in eadem parte ſpatii
                <lb/>
              illius immoti in qua navis ipſa una cum cavitate ſua & contentis
                <lb/>
              univerſis movetur. </s>
              <s>Unde ſi Terra vere quieſcit, corpus quod rela­
                <lb/>
              tive quieſcit in navi, movebitur vere & abſolute ea cum velocitate
                <lb/>
              qua navis movetur in Terra. </s>
              <s>Sin Terra etiam movetur; orietur
                <lb/>
              verus & abſolutus corporis motus, partim ex Terræ motu vero in
                <lb/>
              ſpatio immoto, partim ex navis motu relativo in Terra: & ſi cor­
                <lb/>
              pus etiam movetur relative in navi; orietur verus ejus motus, par­
                <lb/>
              tim ex vero motu Terræ in ſpatio immoto, partim ex relativis mo­
                <lb/>
              tibus tum navis in Terra, tum corporis in navi; & ex his motibus
                <lb/>
              relativis orietur corporis motus relativus in Terra. </s>
              <s>Ut ſi Terræ pars
                <lb/>
              illa, ubi navis verſatur, moveatur vere in orientem cum velocitate
                <lb/>
              partium 10010; & velis
                <expan abbr="ventoq;">ventoque</expan>
              feratur navis in occidentem cum
                <lb/>
              velocitate partium decem; Nauta autem ambulet in navi ori-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum