Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/206.jpg" pagenum="178"/>
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                  terea eadem eſt ac ſi vis tota attrahens manaret de corpuſculo uNI­
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                  co ſito in centro hujus Sphæræ. </s>
                  <s>Hæc autem attractio tanta eſt
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                  quanta foret viciſſim attractio corpuſculi ejuſdem, ſi modo illud a
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                  ſingulis Sphæræ attractæ particulis eadem vi traheretur qua ipſas
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                  attrahit. </s>
                  <s>Foret autem illa corpuſculi attractio (per Prop. </s>
                  <s>LXXIV)
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                  reciproce proportionalis quadrato diſtantiæ ſuæ a centro Sphæ­
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                  ræ; adeoque huic æqualis attractio Sphæræ eſt in eadem ratio­
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                  ne.
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                    <expan abbr="q.">que</expan>
                  E. D.
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                    <margin.target id="note154"/>
                  DE MOTU
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                  CORPORUM</s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  1. Attractiones Sphærarum, verſus alias Sphæras homoge­
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                  neas, ſunt ut Sphæræ trahentes applicatæ ad quadrata diſtantiarum
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                  centrorum ſuorum a centris earum quas attrahunt. </s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  2. Idem valet ubi Sphæra attracta etiam attrahit. </s>
                  <s>Nam­
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                  que hujus puncta ſingula trahent ſingula alterius, eadem vi qua ab
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                  ipſis viciſſim trahuntur, adeoque cum in omni attractione urgea­
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                  tur (per Legem III) tam punctum attrahens, quam punctum at­
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                  tractum, geminabitur vis attractionis mutuæ, conſervatis propor­
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                  tionibus. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  3. Eadem omnia, quæ ſuperius de motu corporum circa
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                  umbilicum Conicarum Sectionum demonſtrata ſunt, obtinent ubi
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                  Sphæra attrahens locatur in umbilico & corpora moventur extra
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                  Sphæram. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  4. Ea vero quæ de motu corporum circa centrum Co­
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                  nicarum Sectionum demonſtrantur, obtinent ubi motus peraguntur
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                  intra Sphæram. </s>
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                  <s>
                    <emph type="center"/>
                  PROPOSITIO LXXVI. THEOREMA XXXVI.
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                  <s>
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                  Si Sphæræ in progreſſu a centro ad circumferentiam (quoad mate­
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                  riæ denſitatem & vim attractivam) utcunQ.E.D.ſſimilares, in
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                  progreſſu vero per circuitum ad datam omnem a centro diſtan­
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                  tiam ſunt undique ſimilares, & vis attractiva puncti cujuſque
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                  decreſcit in duplicata ratione diſtantiæ corporis attracti: dico
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                  quod vis tota qua hujuſmodi Sphæra una attrahit aliam ſit reci­
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                  proce proportionalis quadrato diſtantiæ centrorum.
                    <emph.end type="italics"/>
                  </s>
                </p>
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                  <s>Sunto Sphæræ quotcunque concentricæ ſimilares
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                  AB, CD, EF,
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                    <lb/>
                  &c. </s>
                  <s>quarum interiores additæ exterioribus componant materiam </s>
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