Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/289.jpg" pagenum="261"/>
                  pars eadem, eodem tempore, moveri. </s>
                  <s>Ergo fluidi pars nulla de lo­
                    <lb/>
                    <arrow.to.target n="note237"/>
                  co ſuo movebitur.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note237"/>
                  LIBER
                    <lb/>
                  SECUNDUS</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  2. Dico jam quod fluidi hujus partes omnes ſphæricæ æqua­
                    <lb/>
                  liter premuntur undique: ſit enim
                    <emph type="italics"/>
                  EF
                    <emph.end type="italics"/>
                  pars ſphærica fluidi, & ſi
                    <lb/>
                  hæc undique non premitur æqualiter, augeatur preſſio minor, uſ­
                    <lb/>
                  Q.E.D.m ipſa undique prematur æqualiter; & partes ejus, per
                    <lb/>
                  Caſum primum, permanebunt in locis ſuis. </s>
                  <s>Sed ante auctam preſ­
                    <lb/>
                  ſionem permanebunt in locis ſuis, per Caſum eundum primum, &
                    <lb/>
                  additione preſſionis novæ movebuntur de locis ſuis, per definitio­
                    <lb/>
                  nem Fluidi. </s>
                  <s>Quæ duo repugnant. </s>
                  <s>Ergo falſo dicebatur quod Sphæ­
                    <lb/>
                  ra
                    <emph type="italics"/>
                  EF
                    <emph.end type="italics"/>
                  non undique premebatur æqualiter.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  3. Dico præterea quod diverſarum partium ſphæricarum æ­
                    <lb/>
                  qualis ſit preſſio. </s>
                  <s>Nam partes ſphæricæ contiguæ ſe mutuo pre­
                    <lb/>
                  munt æqualiter in puncto contactus, per motus Legem III. </s>
                  <s>Sed &,
                    <lb/>
                  per Caſum ſecundum, undique premuntur eadem vi. </s>
                  <s>Partes igitur
                    <lb/>
                  duæ quævis ſphæricæ non contiguæ, quia pars ſphærica intermedia
                    <lb/>
                  tangere poteſt utramque, prementur eadem vi.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  4. Dico jam quod fluidi partes omnes ubique premuntur
                    <lb/>
                  æqualiter. </s>
                  <s>Nam partes duæ quævis tangi poſſunt a partibus Sphæ­
                    <lb/>
                  ricis in punctis quibuſcunque, & ibi partes illas Sphæricas æquali­
                    <lb/>
                  ter premunt, per Caſum 3. & viciſſim ab illis æqualiter premuntur,
                    <lb/>
                  per Motus Legem tertiam.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  5. Cum igitur fluidi pars quælibet
                    <emph type="italics"/>
                  GHI
                    <emph.end type="italics"/>
                  in fluido reliquo
                    <lb/>
                  tanquam in vaſe claudatur, & undique prematur æqualiter, partes
                    <lb/>
                  autem ejus ſe mutuo æqualiter premant & quieſcant inter ſe; ma­
                    <lb/>
                  nifeſtum eſt quod Fluidi cujuſcunque
                    <emph type="italics"/>
                  GHI,
                    <emph.end type="italics"/>
                  quod undique premi­
                    <lb/>
                  tur æqualiter, partes omnes ſe mutuo premunt æqualiter, & qui­
                    <lb/>
                  eſcunt inter ſe.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  6. Igitur ſi Fluidum illud in vaſe non rigido claudatur, &
                    <lb/>
                  undique non prematur æqualiter, cedet idem preſſioni fortiori, per
                    <lb/>
                  Definitionem Fluiditatis. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Caſ.
                    <emph.end type="italics"/>
                  7. IdeoQ.E.I. vaſe rigido Fluidum non ſuſtinebit preſſio­
                    <lb/>
                  nem fortiorem ex uno latere quam ex alio, ſed eidem cedet, idque
                    <lb/>
                  in momento temporis, quia latus vaſis rigidum non perſequitur li­
                    <lb/>
                  quorem cedentem. </s>
                  <s>Cedendo autem urgebit latus oppoſitum, &
                    <lb/>
                  ſic preſſio undique ad æqualitatem verget. </s>
                  <s>Et quoniam Fluidum,
                    <lb/>
                  quam primum a parte magis preſſa recedere conatur, inhibetur per
                    <lb/>
                  reſiſtentiam vaſis ad latus oppoſitum; reducetur preſſio undique
                    <lb/>
                  ad æqualitatem, in momento temporis, abſque motu locali: & ſub­
                    <lb/>
                  inde partes fluidi, per Caſum quintum, ſe mutuo prement æqua­
                    <lb/>
                  liter, & quieſcent inter ſe.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
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