Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="039/01/036.jpg" pagenum="8"/>
            <p type="main">
              <s>
                <arrow.to.target n="note3"/>
              quum illud datam poſitionem ſervet necne; quies vera ex horum
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              ſitu inter ſe definiri nequit. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note3"/>
              </s>
            </p>
            <p type="main">
              <s>Motus proprietas eſt, quod partes, quæ datas ſervant poſitiones
                <lb/>
              ad tota, participant motus eorundem totorum. </s>
              <s>Nam Gyrantium
                <lb/>
              partes omnes conantur recedere ab axe motus, & Progredientium
                <lb/>
              impetus oritur ex conjuncto impetu partium ſingularum. </s>
              <s>Motis
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              igitur corporibus ambientibus, moventur quæ in ambientibus rela­
                <lb/>
              tive quieſcunt. </s>
              <s>Et propterea motus verus & abſolutus definiri ne­
                <lb/>
              quit per tranſlationem e vicinia corporum, quæ tanquam quieſcen­
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              tia ſpectantur. </s>
              <s>Debent enim corpora externa non ſolum tanquam qui­
                <lb/>
              eſcentia ſpectari, ſed etiam vere quieſcere. </s>
              <s>Alioquin incluſa om­
                <lb/>
              nia, præter tranſlationem e vicinia ambientium, participabunt
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              etiam ambientium motus veros; & ſublata illa tranſlatione non
                <lb/>
              vere quieſcent, ſed tanquam quieſcentia ſolummodo ſpectabun­
                <lb/>
              tur. </s>
              <s>Sunt enim ambientia ad incluſa, ut totius pars exterior ad
                <lb/>
              partem interiorem, vel ut cortex ad nucleum. </s>
              <s>Moto autem cor­
                <lb/>
              tice, nucleus etiam,
                <expan abbr="abſq;">abſque</expan>
              tranſlatione de vicinia corticis, ceu pars
                <lb/>
              totius movetur. </s>
            </p>
            <p type="main">
              <s>Præcedenti proprietati affinis eſt, quod moto Loco movetur una
                <lb/>
              Locatum: adeoque corpus, quod de loco moto movetur, participat
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              etiam loci ſui motum. </s>
              <s>Motus igitur omnes, qui de locis motis
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              fiunt, ſunt partes ſolummodo motuum integrorum & abſolutorum:
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              & motus omnis integer componitur ex motu corporis de loco ſuo
                <lb/>
              primo, & motu loci hujus de loco ſuo, & ſic deinceps; uſQ.E.D.m
                <lb/>
              perveniatur ad locum immotum, ut in exemplo Nautæ ſupra me­
                <lb/>
              morato. </s>
              <s>Unde motus integri & abſoluti non niſi per loca immota
                <lb/>
              definiri poſſunt: & propterea hos ad loca immota, relativos ad mo­
                <lb/>
              bilia ſupra retuli. </s>
              <s>Loca autem immota non ſunt, niſi quæ omnia
                <lb/>
              ab infinito in infinitum datas ſervant poſitiones ad invicem; atque
                <lb/>
              adeo ſemper manent immota, ſpatiumque conſtituunt quod Immo­
                <lb/>
              bile appello. </s>
            </p>
            <p type="main">
              <s>Cauſæ, quibus motus veri & relativi diſtinguuntur ab invicem,
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              ſunt Vires in corpora impreſſæ ad motum generandum. </s>
              <s>Motus
                <lb/>
              verus nec generatur nec mutatur, niſi per vires in ipſum corpus mo­
                <lb/>
              tum impreſſas: at motus relativus generari & mutari poteſt
                <expan abbr="abſq;">abſque</expan>
                <lb/>
              viribus impreſſis in hoc corpus. </s>
              <s>Sufficit enim ut imprimantur in
                <lb/>
              alia ſolum corpora ad quæ fit relatio, ut iis cedentibus mutetur
                <lb/>
              relatio illa in qua hujus quies vel motus relativus conſiſtit. </s>
              <s>Rur­
                <lb/>
              ſum motus verus a viribus in corpus motum impreſſis ſemper muta­
                <lb/>
              tur; at motus relativus ab his viribus non mutatur neceſſario. </s>
              <s>Nam
                <lb/>
              ſi eædem vires in alia etiam corpora, ad quæ ſit relatio, ſic impri-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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