Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/291.jpg" pagenum="263"/>
                  præfiniti.
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  Et ſimili argumentatione patet Propoſitio, </s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note239"/>
                  ubi gravitas decreſcit in ratione quavis aſſignata diſtantiæ a centro,
                    <lb/>
                  ut & ubi Fluidum ſurſum rarius eſt, deorſum denſius.
                    <emph type="italics"/>
                  Q.E.D.
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                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note239"/>
                  LIBER
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                  SECUNDUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  1. Igitur fundum non urgetur a toto fluidi incumbentis
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                  pondere, ſed eam ſolummodo ponderis partem ſuſtinet quæ in
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                  propoſitione deſcribitur; pondere reliquo a fluidi figura fornicata
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                  ſuſtentato. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. In æqualibus autem a centro diſtantiis eadem ſemper eſt
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                  preſſionis quantitas, ſive ſuperficies preſſa ſit Horizonti parallela
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                  vel perpendicularis vel obliqua; ſive fluidum, a ſuperficie preſſa ſur­
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                  ſum continuatum, ſurgat perpendiculariter ſecundum lineam rectam,
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                  vel ſerpit oblique per tortas cavitates & canales, eaſque regulares
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                  vel maxime irregulares, amplas vel anguſtiſſimas. </s>
                  <s>Hiſce circum­
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                  ſtantiis preſſionem nil mutari colligitur, applicando demonſtratio­
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                  nem Theorematis hujus ad Caſus ſingulos Fluidorum. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Eadem Demonſtratione colligitur etiam (per Prop. </s>
                  <s>XIX)
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                  quod fluidi gravis partes nullum, ex preſſione ponderis incumben­
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                  tis, acquirunt motum inter ſe, ſi modo excludatur motus qui ex
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                  condenſatione oriatur. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  4. Et propterea ſi aliud ejuſdem gravitatis ſpecificæ cor­
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                  pus, quod ſit condenſationis expers, ſubmergatur in hoc fluido, id
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                  ex preſſione ponderis incumbentis nullum acquiret motum: non
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                  deſcendet, non aſcendet, non cogetur figuram ſuam mutare. </s>
                  <s>Si
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                  ſphæricum eſt manebit ſphæricum, non obſtante preſſione; ſi qua­
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                  dratum eſt manebit quadratum: idque ſive molle ſit, ſive fluidiſſi­
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                  mum; ſive fluido libere innatet, ſive fundo incumbat. </s>
                  <s>Habet e­
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                  nim fluidi pars quælibet interna rationem corporis ſubmerſi, & par
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                  eſt ratio omnium ejuſdem magnitudinis, figuræ & gravitatis ſpeci­
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                  ficæ ſubmerſorum corporum. </s>
                  <s>Si corpus ſubmerſum ſervato pon­
                    <lb/>
                  dere liqueſceret & indueret formam fluidi; hoc, ſi prius aſcende­
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                  ret vel deſcenderet vel ex preſſione figuram novam indueret, etiam
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                  nunc aſcenderet vel deſcenderet vel figuram novam induere coge­
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                  retur: id adeo quia gravitas ejus cæteræque motuum cauſæ per­
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                  manent. </s>
                  <s>Atqui, per Caſ. </s>
                  <s>5. Prop. </s>
                  <s>XIX, jam quieſceret & figuram
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                  retineret. </s>
                  <s>Ergo & prius. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  5. Proinde corpus quod ſpecifice gravius eſt quam Flui­
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                  dum ſibi contiguum ſubſidebit, & quod ſpecifice levius eſt aſcen­
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                  det, motumque & figuræ mutationem conſequetur, quantum ex­
                    <lb/>
                  ceſſus ille vel defectus gravitatis efficere poſſit. </s>
                  <s>Namque exceſſus
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                  ille vel deſectus rationem habet impulſus, quo corpus, alias in </s>
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