Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/421.jpg" pagenum="393"/>
                  pore æſtivo matutinos, ad
                    <emph type="italics"/>
                  Plymuthum
                    <emph.end type="italics"/>
                  quidem altitudine quaſi
                    <lb/>
                  pedis unius, ad
                    <emph type="italics"/>
                  Briſtoliam
                    <emph.end type="italics"/>
                  vero altitudine quindecim digitorum:
                    <lb/>
                  obſervantibus
                    <emph type="italics"/>
                  Colepreſſio
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  Sturmio
                    <emph.end type="italics"/>
                  .</s>
                  <s>Motus autem hactenus deſcripti mutantur aliquantulum per vim
                    <lb/>
                  illam reciprocationis aquarum, qua Maris aſtus, etiam ceſſantibus Luminarium actionibus, poſſet aliquam diu perſeverare.</s>
                  <s>Conſer­
                    <lb/>
                  vatio hæcce motus impreſſi minuit differentiam æſtuum alterno­
                    <lb/>
                  rum; & aſtus proxime poſt Syzygias majores reddit, eoſque pro­
                    <lb/>
                  xime poſt Quadraturas minuit.</s>
                  <s>Unde ſit ut æſtus alterni ad
                    <emph type="italics"/>
                  Ply­
                    <lb/>
                  muthum & Briſtoliam
                    <emph.end type="italics"/>
                  non multo mafis differant ab invicem quam
                    <lb/>
                  altitudine pedis unius vel digitorum quindecim; utque æſtus om­
                    <lb/>
                  nium maximi in iiſdem portubus, non ſint primi a Syzygiis, ſed
                    <lb/>
                  tertii.</s>
                  <s>Retardantur etiam motus omnes in tranſitu per vada, adeo
                    <lb/>
                  ut æſtus omnium maximi, in fretis quibusdam & Fluviorum oſtiis,
                    <lb/>
                  ſsint quarti vel etiam quinti a Syzygiis.</s>
                  <s>
                    <lb/>
                  Porro fieri poteſt ut æſtus propagetur ab Oceano per freta di­
                    <lb/>
                  verſa ad eundem portum, & citius tranſeat per aliqua freta quam
                    <lb/>
                  per alia: quo in caſu æſtus idem, in duos vel plures ſucceſſive ad­
                    <lb/>
                  venientis diviſus, componere poſſit motus novos diverſorum ge­
                    <lb/>
                  nerum.</s>
                  <s>Fingamus æſtus duos æquales a diverſis locis in eundem
                    <lb/>
                  portum venire, quorum prior præcedat alterum ſpatio horarum
                    <lb/>
                  fex, incidatQ.E.I. horam tertiam ab appulſu Lunæ ad Meridia­
                    <lb/>
                  num portus.</s>
                  <s>Si Luna in hocce ſuo ad Meridianum appulſu ver­
                    <lb/>
                  fabatur in æquatore, venient ſingulis horis fenis æquales affluxus,
                    <lb/>
                  qui in motuos refluxus incidendo eoſdem affluxibus æquabunt,
                    <lb/>
                  & ſic ſpatio diei illius efficient ut aqua tranquille ſtagnet.</s>
                  <s>Si
                    <lb/>
                  Luna tunc declinabat ab Æquatore, fient æſtus in Oceano vici­
                    <lb/>
                  bus alternis majores & minores, uti dictum eſt; &inde propaga­
                    <lb/>
                  buntur in hunc portum affluxus bini majores & bini minores, vi­
                    <lb/>
                  cibus alternis.</s>
                  <s>Affluxus autem bini majores component aquam
                    <lb/>
                  altiſſimam in medio inter utrumque, affluxus major & minor fa­
                    <lb/>
                  ciet ut aqua aſcendat ad mediocrem altitudinem in Medio ipſo­
                    <lb/>
                  rum, & inter affluxus binos minores aqua aſcendet ad altitudi­
                    <lb/>
                  dinem minimam.</s>
                  <s>Sic ſpatio viginti quatuor horarum, aqua non
                    <lb/>
                  bis ut fieri ſolet, sed ſemel tantum perveniet ad maximam altitu­
                    <lb/>
                  dinem & ſemel ad minimam; & altitudo maxima, ſi Luna decli­
                    <lb/>
                  nat in polum ſupra Horizontem loci, incidet in horam vel ſextam
                    <lb/>
                  vel triceſimam ab appulſu Lunæ ad Meridianum, atque Luna de­
                    <lb/>
                  clinationem mutante mutabitur in defluxum.</s>
                  <s>Quorum omnium
                    <lb/>
                  exemplum, in portu regni
                    <emph type="italics"/>
                  Tunquini
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  Batſham
                    <emph.end type="italics"/>
                  , ſub latitudine</s>
                </p>
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            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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