Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
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                  Vortices explicari poſſint. </s>
                  <s>Nam Phænomenon eſt, quod Planeta­
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                    <arrow.to.target n="note361"/>
                  rum circa Jovem revolventium tempora periodica ſunt in ratione
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                  ſeſquiplicata diſtantiarum a centro Jovis; & eadem Regula obti­
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                  net in Planetis qui circa Solem revolvuntur. </s>
                  <s>Obtinent autem hæ
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                  Regulæ in Planetis utriſque quam accuratiſſime, quatenus obſer­
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                  vationes Aſtronomicæ hactenus prodidere. </s>
                  <s>Ideoque ſi Planetæ
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                  illi à Vorticibus circa Jovem & Solem revolventibus deferantur,
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                  debebunt etiam hi Vortices eadem lege revolvi. </s>
                  <s>Verum tempora
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                  periodica partium Vorticis prodierunt in ratione duplicata diſtan­
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                  tiarum a centro motus: neque poteſt ratio illa diminui & ad ra­
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                  tionem ſeſquiplicatam reduci, niſi vel materia Vorticis eo fluidior
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                  ſit quo longius diſtat a centro, vel reſiſtentia, quæ oritur ex de­
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                  fectu lubricitatis partium fluidi, ex aucta velocitate qua partes
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                  fluidi ſeparantur ab invicem, augeatur in majori ratione quam ea
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                  eſt in qua velocitas augetur. </s>
                  <s>Quorum tamen neutrum rationi
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                  conſentaneum videtur. </s>
                  <s>Partes craſſiores & minus fluidæ (niſi gra­
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                  ves ſint in centrum) circumferentiam petent; & veriſimile eſt
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                  quod, etiamſi Demonſtrationum gratia Hypotheſin talem initio
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                  Sectionis hujus propoſuerim ut Reſiſtentia velocitati proportiona­
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                  lis eſſet, tamen Reſiſtentia in minori ſit ratione quam ea velocita­
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                  tis eſt. </s>
                  <s>Quo conceſſo, tempora periodica partium Vorticis erunt
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                  in majori quam duplicata ratione diſtantiarum ab ipſius centro. </s>
                  <s>
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                  Quod ſi Vortices (uti aliquorum eſt opinio) celerius moveantur
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                  prope centrum, dein tardius uſque ad certum limitem, tum denuo
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                  celerius juxta circumferentiam; certe nec ratio ſeſquiplicata neque
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                  alia quævis certa ac determinata obtinere poteſt. </s>
                  <s>Viderint itaque
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                  Philoſophi quo pacto Phænomenon illud rationis ſeſquiplicatæ per
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                  Vortices explicari poſſit. </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note361"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LIII. THEOREMA XLI.
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                  </s>
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                  <s>
                    <emph type="italics"/>
                  Corpora quæ in Vortice delata in orbem redeunt, ejuſdem ſunt den­
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                  ſitatis cum Vortice, & eadem lege cum ipſius partibus (quoad
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                  velocitatem & curſus determinationem) moventur.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam ſi Vorticis pars aliqua exigua, cujus particulæ ſeu puncta
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                  phyſica datum ſervant ſitum inter ſe, congelari ſupponatur: hæc,
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                  quoniam neque quoad denſitatem ſuam, neque quoad vim inſitam
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                  aut figuram ſuam mutatur, movebitur eadem lege ac prius: & </s>
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