Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/377.jpg" pagenum="349"/>
                  a Globo in infinitum recta pergens, movebitur pro lege caſus pri­
                    <lb/>
                    <arrow.to.target n="note357"/>
                  mi, niſi quatenus impeditur ab attritu annulorum ad latera. </s>
                  <s>At
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                  in motu hac lege facto, attritus annulorum ad latera nullus eſt;
                    <lb/>
                  neque adeo motum, quo minus hac lege fiat, impediet. </s>
                  <s>Si an­
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                  nuli, qui a centro æqualiter diſtant, vel citius revolverentur vel
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                  tardius juxta polos quam juxta æquatorem; tardiores accelera­
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                  rentur, & velociores retardarentur ab attritu mutuo, & ſic verge­
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                  rent ſemper tempora periodica ad æqualitatem, pro lege caſus
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                  primi. </s>
                  <s>Non impedit igitur hic attritus quo minus motus fiat ſe­
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                  cundum legem caſus primi, & propterea lex illa obtinebit: hoc
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                  eſt, annulorum ſingulorum tempora periodica erunt ut quadrata
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                  diſtantiarum ipſorum à centro Globi. </s>
                  <s>Quod volui ſecundo de­
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                  monſtrare. </s>
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                <p type="margin">
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                    <margin.target id="note357"/>
                  LIBER
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                  SECUNDUS.</s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Cas.
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                  3. Dividatur jam annulus unuſquiſque ſectionibus tranſ­
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                  verſis in particulas innumeras conſtituentes ſubſtantiam abſolute
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                  & uniformiter fluidam; & quoniam hæ ſectiones non ſpectant ad
                    <lb/>
                  legem motus circularis, ſed ad conſtitutionem Fluidi ſolummodo
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                  conducunt, perſeverabit motus circularis ut prius. </s>
                  <s>His ſectionibus
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                  annuli omnes quam minimi aſperitatem & vim attritus mutui aut
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                  non mutabunt aut mutabunt æqualiter. </s>
                  <s>Et manente cauſarum
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                  proportione manebit effectuum proportio, hoc eſt, proportio mo­
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                  tuum & periodieorum temporum.
                    <emph type="italics"/>
                  Q.E.D.
                    <emph.end type="italics"/>
                  Cæterum cum motus
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                  circularis, & abinde orta vis centrifuga, major ſit ad Eclipticam
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                  quam ad Polos; debebit cauſa aliqua adeſſe qua particulæ ſingulæ
                    <lb/>
                  in circulis ſuis retineantur; ne materia quæ ad Eclipticam eſt, rece­
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                  dat ſemper à centro & per exteriora Vorticis migret ad Polos, in­
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                  deque per axem ad Eclipticam circulatione perpetua revertatur. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  1. Hinc motus angulares partium fluidi circa axem globi,
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                  ſunt reciproce ut quadrata diſtantiarum à centro globi, & veloci­
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                  tates abſolutæ reciproce ut eadem quadrata applicata ad diſtantias
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                  ab axe. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Si globus in fluido quieſcente ſimilari & infinito circa
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                  axem poſitione datum uniformi cum motu revolvatur, commuNI­
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                  cabitur motus fluido in morem Vorticis, & motus iſte paulatim
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                  propagabitur in infin tum; neque prius ceſſabit in ſingulis fluidi
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                  partibus accelerari, quam tempora periodica ſingularum partium
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                  ſint ut quadrata diſtantiarum à centro globi. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  3. Quoniam Vorticis partes interiores ob majorem ſuam
                    <lb/>
                  velocitatem atterunt & urgent exteriores, motumQ.E.I.ſis ea acti-</s>
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