Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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modo diametros recte dimenſus ſum. </
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>Parabam utique laminam
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planam pertenuem in medio perforatam, exiſtente circularis fora
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minis diametro partium quinque octavarum digiti. </
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<
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>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. </
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<
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>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. </
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<
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>Erat igitur diameter foraminis hujus circularis ad
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diametrum venæ ut 25 ad 21 quamproxime. </
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>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.</
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>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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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. </
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<
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>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. </
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<
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>Spatium vero quod
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planis duobus & vena cadente clauditur,
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pro fundo vaſis haberi poteſt. </
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<
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>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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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. </
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<
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>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-</
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