Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/334.jpg" pagenum="306"/>
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                  dem velocitatem acquirit in utroque caſu, ut
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                  Galilæus
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                  demon­
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                  ſtravit.
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                  </s>
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                <p type="margin">
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                    <margin.target id="note282"/>
                  DE MOTU
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                  CORPORUM.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
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                  3. Eadem eſt aquæ velocitas effluentis per foramen in la­
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                  tere vaſis. </s>
                  <s>Nam ſi foramen parvum ſit, ut intervallum inter ſuper­
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                  ficies
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                  AB
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                  &
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                  KL
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                  quoad ſenſum evaneſcat, & vena aquæ hori­
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                  zontaliter exilientis figuram Parabolicam efformet: ex latere recto
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                  hujus Parabolæ colligetur, quod velocitas aquæ effluentis ea ſit
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                  quam corpus ab aquæ in vaſe ſtagnantis altitudine
                    <emph type="italics"/>
                  HG
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                  vel
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                  IG
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                  ca­
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                  dendo acquirere potuiſſet. </s>
                  <s>Facto utique experimento inveni quod,
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                  ſi altitudo aquæ ſtagnantis ſupra foramen eſſet viginti digitorum
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                  & altitudo foraminis ſupra planum horizonti parallelum eſſet quo­
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                  que viginti digitorum, vena aquæ proſilientis incideret in planum
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                  illud ad diſtantiam digitorum 37 circiter à perpendiculo quod in
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                  planum illud à foramine demittebatur captam. </s>
                  <s>Nam ſine reſiſten­
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                  tia vena incidere debuiſſet in planum illud ad diſtantiam digitorum
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                  40, exiſtente venæ Parabolicæ latere recto digitorum 80.
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                  </s>
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                  <s>
                    <emph type="italics"/>
                  Cas.
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                  4. Quinetiam aqua effluens, ſi ſurſum feratur, eadem egre­
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                  ditur cum velocitate. </s>
                  <s>Aſcendit enim aquæ exilientis vena parva
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                  motu perpendiculari ad aquæ in vaſe ſtagnantis altitudinem
                    <emph type="italics"/>
                  GH
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                    <lb/>
                  vel
                    <emph type="italics"/>
                  GI,
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                  niſi quatenus aſcenſus ejus ab aeris reſiſtentia aliquantu­
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                  lum impediatur; ac proinde ea effluit cum velocitate quam ab al­
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                  titudine illa cadendo acquirere potuiſſet.
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                    <figure id="id.039.01.334.1.jpg" xlink:href="039/01/334/1.jpg" number="187"/>
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                  Aquæ ſtagnantis particula unaquæque
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                  undique premitur æqualiter, per Prop.
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                  XIX. Lib. II, & preſſioni cedendo æquali
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                  impetu in omnes partes fertur, ſive de­
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                  ſcendat per foramen in fundo vaſis, ſive
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                  horizontaliter effluat per foramen in ejus
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                  latere, ſive egrediatur in canalem & inde
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                  aſcendat per foramen parvum in ſuperiore
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                  canalis parte factum. </s>
                  <s>Et velocitatem qua
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                  aqua effluit, eam eſſe quam in hac Pro­
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                  poſitione aſſignavimus, non ſolum rati­
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                  one colligitus, ſed etiam per experimenta
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                  notiſſima jam deſcripta manifeſtum eſt.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
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                  5. Eadem eſt aquæ effluentis velocitas ſive figura foraminis
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                  ſit circularis ſive quadrata vel triangularis aut alia quæcunque cir­
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                  culari æqualis. </s>
                  <s>Nam velocitas aquæ effluentis non pendet à figura
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                  foraminis ſed ab ejus altitudine infra planum
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                  KL.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
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                  6. Si vaſis
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                  ABDC
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                  pars inferior in aquam ſtagnantem im-</s>
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