Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  modo diametros recte dimenſus ſum. </s>
                  <s>Parabam utique laminam
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                    <arrow.to.target n="note281"/>
                  planam pertenuem in medio perforatam, exiſtente circularis fora­
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                  minis diametro partium quinque octavarum digiti. </s>
                  <s>Et ne vena
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                  aquæ exilientis cadendo acceleraretur & acceleratione redderetur
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                  anguſtior, hanc laminam non fundo ſed lateri vaſis affixi ſic, ut
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                  vena illa egrederetur ſecundum lineam horizonti parallelam. </s>
                  <s>Dein
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                  ubi vas aquæ plenum eſſet, aperui foramen ut aqua efflueret; &
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                  venæ diameter, ad diſtantiam quaſi dimidii digiti â ſoramine quam
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                  accuratiſſime menſurata, prodiit partium viginti & unius quadrageſi­
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                  marum digiti. </s>
                  <s>Erat igitur diameter foraminis hujus circularis ad
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                  diametrum venæ ut 25 ad 21 quamproxime. </s>
                  <s>Per experimenta vero
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                  conſtat quod quantitas aquæ quæ per foramen circulare in fundo
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                  vaſis factum effluit, ea eſt quæ, pro diametro venæ, cum velocitate
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                  prædicta effluere debet.
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                  LIBER
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                  SECUNDUS.</s>
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                  <s>In ſequentibus igitur, plano foraminis parallelum duci intelliga­
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                  tur planum aliud ſuperius ad diſtantiam diametro foraminis æqua­
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                  lem vel paulo majorem & foramine majore pertuſum, per quod
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                  utique vena cadat quæ adæquate impleat
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                    <figure id="id.039.01.333.1.jpg" xlink:href="039/01/333/1.jpg" number="186"/>
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                  foramen inferius
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                  EF,
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                  atque adeo cujus
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                  diameter ſit ad diametrum foraminis in­
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                  ferioris ut 25 ad 21 circiter. </s>
                  <s>Sic enim
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                  vena per foramen inferius perpendicu­
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                  lariter tranſibit; & quantitas aquæ ef­
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                  fluentis, pro magnitudine foraminis hu­
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                  jus, ea erit quam ſolutio Problematis po­
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                  ſtulat quamproxime. </s>
                  <s>Spatium vero quod
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                  planis duobus & vena cadente clauditur,
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                  pro fundo vaſis haberi poteſt. </s>
                  <s>Sed ut
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                  ſolutio Problematis ſimplicior ſit & ma­
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                  gis Mathematica, præſtat adhibere pla­
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                  num ſolum inferius pro fundo vaſis, &
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                  fingere quod aqua quæ per glaciem ceu per infundibulum deflue­
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                  bat, & è vaſe per foramen
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                  EF
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                  egrediebatur, motum ſuum per­
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                  petuo ſervet & glacies quietem ſuam etiamſ in aquam fluidam
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                  reſolvatur.
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                  </s>
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                  Cas.
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                  2. Si foramen
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                  EF
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                  non ſit in medio fundi vaſis, ſed fun­
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                  dum alibi perforetur: aqua effluet eadem cum velocitate ac prius,
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                  ſi modo eadem ſit foraminis magnitudo. </s>
                  <s>Nam grave majori qui­
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                  dem tempore deſcendit ad eandem profunditatem per lineam ob­
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                  liquam quam per lineam perpendicularem, ſed deſcendendo ean-</s>
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