Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                    <pb xlink:href="039/01/195.jpg" pagenum="167"/>
                  agendo, propius accedent ad corpus
                    <emph type="italics"/>
                  T,
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                  & celerius movebuntur
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                  in Conjunctione & Oppoſitione ipſarum & corporis
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                  S,
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                  quam in
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                  Quadraturis. </s>
                  <s>Et Nodi Annuli hujus ſeu interſectiones ejus cum
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                  plano Orbitæ corporis
                    <emph type="italics"/>
                  S
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                  vel
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                  T,
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                  quieſcent in Syzygiis; extra Syzy­
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                  gias vero movebuntur in antecedentia, & velociſſime quidem in
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                  Quadraturis, tardius aliis in locis. </s>
                  <s>Annuli quoQ.E.I.clinatio varia­
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                  bitur, & axis ejus ſingulis revolutionibus oſcillabitur, completaque
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                  revolutione ad priſtinum ſitum redibit, niſi quatenus per præceſſi­
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                  onem Nodorum circumfertur. </s>
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                  LIBER
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                  PRIMUS.</s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  19. Fingas jam Globum corporis
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                  T,
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                  ex materia non fluida
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                  conſtantem, ampliari & extendi uſque ad hunc Annulum, & alveo
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                  per circuitum excavato continere Aquam, motuque eodem perio­
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                  dico circa axem ſuum uniformiter revolvi. </s>
                  <s>Hic liquor per vices
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                  acceleratus & retardatus (ut in ſuperiore Corollario) in Syzygiis
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                  velocior erit, in Quadraturis tardior quam ſuperficies Globi, &
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                  ſic fluet in alveo refluet que ad modum Maris. </s>
                  <s>Aqua revolvendo cir­
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                  ca Globi centrum quieſcens, ſi tollatur attractio corporis
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                  S
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                  nullum
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                  acquiret motum fluxus & refluxus. </s>
                  <s>Par eſt ratio Globi uniformiter
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                  progredientis in directum & interea revolventis circa centrum
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                  ſuum (per Legum Corol. </s>
                  <s>5.) ut & Globi de curſu rectilineo uNI­
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                  formiter tracti, per Legum Corol. </s>
                  <s>6. Accedat autem corpus
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                  S,
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                    <lb/>
                  & ab ipſius inæquabili attractione mox turbabitur Aqua. </s>
                  <s>Etenim
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                  major erit attractio aquæ propioris, minor ea remotioris. </s>
                  <s>Vis
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                  autem
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                  LM
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                  trahet aquam deorſum in Quadraturis, facietQ.E.I.­
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                  ſam deſcendere uſque ad Syzygias; & vis
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                  KL
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                  trahet eandem ſur­
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                  ſum in Syzygiis, ſiſtetQ.E.D.ſcenſum ejus & faciet ipſam aſcendere
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                  uſque ad Quadraturas. </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
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                  20. Si Annulus jam rigeat & minuatur Globus, ceſſa­
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                  bit motus fluendi & refluendi; ſed Oſcillatorius ille inclinationis
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                  motus & præceſſio Nodorum manebunt. </s>
                  <s>Habeat Globus eundem
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                  axem cum Annulo, gyroſque compleat iiſdem temporibus, & ſuper­
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                  ficie ſua contingat ipſum interius, eiQ.E.I.hæreat; & participando
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                  motum ejus, compages utriuſque Oſcillabitur & Nodi regredien­
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                  tur. </s>
                  <s>Nam Globus, ut mox dicetur, ad ſuſcipiendas impreſſiones
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                  omnes indifferens eſt. </s>
                  <s>Annuli Globo orbati maximus inclinationis
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                  angulus eſt ubi Nodi ſunt in Syzygiis. </s>
                  <s>Inde in progreſſu Nodo­
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                  rum ad Quadraturas conatur is inclinationem ſuam minuere, & iſto
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                  conatu motum imprimit Globo toti. </s>
                  <s>Retinet Globus motum im­
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                  preſſum uſQ.E.D.m Annulus conatu contrario motum hunc tollat,
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                  imprimatque motum novum in contrariam partem: Atque hac ra-</s>
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