Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
41
41 		42
42
43
43 		44
44
45
45 		46
46
47
47 		48
48
49
49 		50
50
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="039/01/046.jpg" pagenum="18"/>
                <arrow.to.target n="note8"/>
              mutat ſtatum ſuum; & reliquorum, quibuſcum actio illa non in­
                <lb/>
              tercedit, commune gravitatis centrum nihil inde patitur; diſtantia
                <lb/>
              autem horum duorum centrorum dividitur a communi corporum
                <lb/>
              omnium centro in partes ſummis totalibus corporum quorum
                <lb/>
              ſunt centra reciproce proportionales; adeoque centris illis duobus
                <lb/>
              ſtatum ſuum movendi vel quieſcendi ſervantibus, commune omNI­
                <lb/>
              um centrum ſervat etiam ſtatum ſuum: manifeſtum eſt quod com­
                <lb/>
              mune illud omnium centrum ob actiones binorum corporum inter
                <lb/>
              ſe nunquam mutat ſtatum ſuum quoad motum & quietem. </s>
              <s>In tali
                <lb/>
              autem ſyſtemate actiones omnes corporum inter ſe, vel inter bina
                <lb/>
              ſunt corpora, vel ab actionibus inter bina compoſitæ; & propterea
                <lb/>
              communi omnium centro mutationem in ſtatu motus ejus vel quie­
                <lb/>
              tis nunquam inducunt. </s>
              <s>Quare cum centrum illud ubi corpora non
                <lb/>
              agunt in ſe invicem, vel quieſcit, vel in recta aliqua progreditur uNI­
                <lb/>
              formiter; perget idem, non obſtantibus corporum actionibus inter
                <lb/>
              ſe, vel ſemper quieſcere, vel ſemper progredi uniformiter in dire­
                <lb/>
              ctum; niſi a viribus in ſyſtema extrinſecus impreſſis deturbetur de hoc
                <lb/>
              ſtatu. </s>
              <s>Eſt igitur ſyſtematis corporum plurium Lex eadem quæ cor­
                <lb/>
              poris ſolitarii, quoad perſeverantiam in ſtatu motus vel quietis. </s>
              <s>Mo­
                <lb/>
              tus enim progreſſivus ſeu corporis ſolitarii ſeu ſyſtematis corporum
                <lb/>
              ex motu centri gravitatis æſtimari ſemper debet. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note8"/>
              IATA,
                <lb/>
              VF.</s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              COROLLARIUM V.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Corporum dato ſpatio incluſorum iidem ſunt motus inter ſe, ſive ſpa­
                <lb/>
              tium illud quieſcat, ſive moveatur idem uniformiter in directum
                <lb/>
              abſque motu circulari.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Nam differentiæ motuum tendentium ad eandem partem, & ſum­
                <lb/>
              mæ tendentium ad contrarias, eædem ſunt ſub initio in
                <expan abbr="utroq;">utroque</expan>
              caſu (ex
                <lb/>
              hypotheſi) & ex his ſummis vel differentiis oriuntur congreſſus & im­
                <lb/>
              petus quibus corpora ſe mutuo feriunt. </s>
              <s>Ergo per Legem 11 æquales e­
                <lb/>
              runt congreſſuum effectus in
                <expan abbr="utroq;">utroque</expan>
              caſu; & propterea manebunt mo­
                <lb/>
              tus inter ſe in uno caſu æquales motibus inter ſe in altero. </s>
              <s>Idem com­
                <lb/>
              probatur experimento luculento. </s>
              <s>Motus omnes eodem modo ſe ha­
                <lb/>
              bent in Navi, ſive ea quieſcat, ſive moveatur uniformiter in directum. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              COROLLARIUM VI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Si corpora
                <expan abbr="moveãtur">moveantur</expan>
                <expan abbr="quomodocunq;">quomodocunque</expan>
              inter ſe, & a viribus acceler atrici­
                <lb/>
              bus æqualibus ſecundum lineas parallelas urgeantur; pergent omnia
                <lb/>
              eodem modo moveri inter ſe, ac ſi viribus illis non eſſent incitata.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Nam vires illæ æqualiter (pro quantitatibus movendorum corpo-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum