Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/204.jpg" pagenum="176"/>
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                  verſe. </s>
                  <s>Sed particulæ ſunt ut Sphæræ, hoc eſt, in ratione triplicata
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                  diametrorum, & diſtantiæ ſunt ut diametri, & ratio prior directe
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                  una cum ratione poſteriore bis inverſe eſt ratio diametri ad diame­
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                  trum.
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                    <expan abbr="q.">que</expan>
                  E. D.
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                  </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note152"/>
                  DE MOTU
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                  CORPORUM</s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  1. Hinc ſi corpuſcula in Circulis, circa Sphæras ex materia
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                  æqualiter attractiva conſtantes, revolvantur; ſintQ.E.D.ſtantiæ a cen­
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                  tris Sphærarum proportionales earundem diametris: Tempora peri­
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                  odica erunt æqualia. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  2. Et vice verſa, ſi Tempora periodica ſunt æqualia;
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                  diſtantiæ erunt proportionales diametris. </s>
                  <s>Conſtant hæc duo per
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                  Corol. </s>
                  <s>3. Prop. </s>
                  <s>IV. </s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  3. Si ad Solidorum durorum quorumvis ſimilium & æquali­
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                  ter denſorum puncta ſingula tendant vires æquales centripetæ de­
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                  creſcentes in duplicata ratione diſtantiarum a punctis: vires qui­
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                  bus corpuſcula, ad Solida illa duo ſimiliter ſita, attrahentur ab iiſ­
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                  dem, erunt ad invicem ut diametri Solidorum. </s>
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                    <emph type="center"/>
                  PROPOSITIO LXXIII. THEOREMA XXXIII.
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                  Si ad Sphæræ alicujus datæ puncta ſingula tendant æquales vires
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                  centripetæ decreſcentes in duplicata ratione diſtantiarum a pun­
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                  ctis: dico quod corpuſculum intra Sphæram conſtitutum attra­
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                  bitur vi proportionali diſtantiæ ſuæ ab ipſius centro.
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                  </s>
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                  <s>In Sphæra
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                  ABCD,
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                  centro
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                  S
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                  deſcripta,
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                    <figure id="id.039.01.204.1.jpg" xlink:href="039/01/204/1.jpg" number="116"/>
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                  locetur corpuſculum
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                  P
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                  ; & centro eodem
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                  S,
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                    <lb/>
                  intervallo
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                  SP,
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                  concipe Sphæram interiorem
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                    <emph type="italics"/>
                  PEQF
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                  deſcribi. </s>
                  <s>Manifeſtum eſt, per Prop. </s>
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                  LXX, quod Sphæricæ ſuperficies concentri­
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                  cæ ex quibus Sphærarum differentia
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                  AEBF
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                  componitur, attractionibus per attractiones
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                  contrarias deſtructis, nil agunt in corpus
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                    <emph type="italics"/>
                  P.
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                  Reſtat ſola attractio Sphæræ interioris
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                    <emph type="italics"/>
                  PEQF.
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                  Et per Prop. </s>
                  <s>LXXII, hæc eſt ut
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                  diſtantia
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                  PS.
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                  E. D.
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                  </s>
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                  <s>
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                  Scholium.
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                    <emph.end type="center"/>
                  </s>
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                <p type="main">
                  <s>Superficies ex quibus ſolida componuntur, hic non ſunt pure
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                  Mathematicæ, ſed Orbes adeo tenues ut eorum craſſitudo inſtar </s>
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