Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/331.jpg" pagenum="303"/>
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                  generari quo tempore Globus duas tertias diametri ſuæ partes, ve­
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                    <arrow.to.target n="note279"/>
                  locitate uniformiter continuata deſcribat, ut denſitas Medii ad
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                  denſitatem Globi, ſi modo Globus & particulæ Medii ſint ſumme
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                  elaſtica & vi maxima reflectendi polleant: quodque hæc vis ſit
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                  duplo minor ubi Globus & particulæ Medii ſunt infinite dura &
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                  vi reflectendi prorſus deſtituta. </s>
                  <s>In Medus autem continuis qualia
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                  ſunt Aqua, Oleum calidum, & Argentum vivum, in quibus Globus
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                  non incidit immediate in omnes fluidi particulas reſiſtentiam gene­
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                  rantes, ſed premit tantum proximas particulas & hæ premunt alias
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                  & hæ alias, reſiſtentia eſt adhuc duplo minor. </s>
                  <s>Globus utiQ.E.I.
                    <lb/>
                  hujuſmodi Mediis fluidiſſimis reſiſtentiam patitur quæ eſt ad vim
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                  qua totus ejus motus vel tolli poſſit vel generari quo tempore,
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                  motu illo uniformiter continuato, partes octo tertias diametri ſuæ
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                  deſcribat, ut denſitas Medii ad denſitatem Globi. </s>
                  <s>Id quod in ſe­
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                  quentibus conabimur oſtendere.
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                    <emph type="center"/>
                  PROPOSITIO XXXVI. PROBLEMA VIII.
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                  </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note279"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Aquæ de vaſe Cylindrico per foramen in fundo factum effluentis
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                  definire motum.
                    <emph.end type="italics"/>
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                  </s>
                </p>
                <p type="main">
                  <s>Sit
                    <emph type="italics"/>
                  ACDB
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                  vas cylindricum,
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  ejus orificium ſuperius,
                    <emph type="italics"/>
                  CD
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                    <lb/>
                  fundum horizonti parallelum,
                    <emph type="italics"/>
                  EF
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                  foramen circulare in medio
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                  fundi,
                    <emph type="italics"/>
                  G
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                  centrum foraminis, &
                    <emph type="italics"/>
                  GH
                    <emph.end type="italics"/>
                  axis cylindri horizonti per­
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                  pendicularis. </s>
                  <s>Et concipe cylindrum gla­
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                    <figure id="id.039.01.331.1.jpg" xlink:href="039/01/331/1.jpg" number="185"/>
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                  ciei
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                  APQB
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                  ejuſdem eſſe latitudinis
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                  cum cavitate vaſis, & axem eundem ha­
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                  bere, & uniformi cum motu perpetuo
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                  deſcendere, & partes ejus quam primum
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                  attingunt ſuperficiem
                    <emph type="italics"/>
                  AB
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                  liqueſcere, &
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                  in aquam converſas gravitate ſua defluere
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                  in vas, & cataractam vel columnam aquæ
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                    <emph type="italics"/>
                  ABNFEM
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                  cadendo formare, & per
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                  foramen
                    <emph type="italics"/>
                  EF
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                  tranſire, idemque adæquate
                    <lb/>
                  implere. </s>
                  <s>Ea vero ſit uniformis veloci­
                    <lb/>
                  tas glaciei deſcendentis ut & aquæ con­
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                  tiguæ in circulo
                    <emph type="italics"/>
                  AB,
                    <emph.end type="italics"/>
                  quam aqua caden­
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                  do & caſu ſuo deſcribendo altitudinem
                    <lb/>
                    <emph type="italics"/>
                  IH
                    <emph.end type="italics"/>
                  acquirere poteſt; & jaceant
                    <emph type="italics"/>
                  IH
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  HG
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                  in directum, & per
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                  punctum
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  ducatur recta
                    <emph type="italics"/>
                  KL
                    <emph.end type="italics"/>
                  horizonti parallela & lateribus gla-</s>
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