Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  hibentur, quam ſolent motus Planetarum per eorum Theovias. </s>
                  <s>Et
                    <lb/>
                  propterea Orbes Cometarum per hanc Theoriam enumerari poſ­
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                  ſunt, & tempus periodicum Cometæ in quolibet Orbe revolventis
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                  tandem ſciri, & tum demum Orbium Elliptieorum latera tranſ­
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                  verſa & Apheliorum altitudines innoteſcent. </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note509"/>
                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>Cometa retrogradus qui apparuit anno 1607, deſcripſit Orbem
                    <lb/>
                  cujus Nodus aſcendens (computante
                    <emph type="italics"/>
                  Halleio
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                  ) erat in 8 20
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                  gr.
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                  21′. </s>
                  <s>
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                  Inclinatio plani Orbis ad planum Eclipticæ erat 17
                    <emph type="sup"/>
                  gr.
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                  2′. </s>
                  <s>Peri­
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                  helium erat in = 2
                    <emph type="sup"/>
                  gr.
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                  16′, & diſtantia perihelia a Sole erat 58680,
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                  exiſtente radio Orbis magni 100000. Et Cometa erat in Peri­
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                  helio
                    <emph type="italics"/>
                  Octob.
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                  16
                    <emph type="sup"/>
                  d
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                  . </s>
                  <s>3
                    <emph type="sup"/>
                  h
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                  . </s>
                  <s>50′. </s>
                  <s>Congruit hic Orbis quamproxime cum
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                  Orbe Cometæ qui apparuit anno 1682. Si Cometæ hi duo fue­
                    <lb/>
                  rint unus & idem, revolvetur hic Cometa ſpatio annorum 75, &
                    <lb/>
                  axis major Orbis ejus erit ad axem majorem Orbis magni, ut
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                  √
                    <emph type="italics"/>
                  c
                    <emph.end type="italics"/>
                  :75X75 ad 1, ſeu 1778 ad 100 circiter. </s>
                  <s>Et diſtantia aphe­
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                  lia Cometæ hujus a Sole, erit ad diſtantiam mediocrem Terræ a
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                  Sole, ut 35 ad 1 circiter. </s>
                  <s>Quibus cognitis, haud difficile fuerit
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                  Orbem Ellipticum Cometæ hujus determinare. </s>
                  <s>Atque hæc ita
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                  ſe habebunt ſi Cometa, ſpatio annorum ſeptuaginta quinque, in
                    <lb/>
                  hoc Orbe poſthac redierit. </s>
                  <s>Cometæ reliqui majori tempore re­
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                  volvi videntur & altius aſcendere. </s>
                </p>
                <p type="main">
                  <s>Cæterum Cometæ, ob magnum eorum numerum, & magnam
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                  Apheliorum a Sole diſtantiam, & longam moram in Apheliis, per
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                  gravitates in ſe mutuo nonnihil turbari debent, & eorum eccen­
                    <lb/>
                  tricitates & revolutionum tempora nunc augeri aliquantulum,
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                  nunc diminui. </s>
                  <s>Proinde non eſt expectandum ut Cometa idem,
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                  in eodem Orbe & iiſdem temporibus periodicis, accurate redeat. </s>
                  <s>
                    <lb/>
                  Sufficit ſi mutationes non majores obvenerint, quam quæ a cauſis
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                  prædictis oriantur. </s>
                </p>
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                  <s>Et hinc ratio redditur cur Cometæ non comprehendantur Zo­
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                  diaco (more Planetarum) ſed inde migrent & motibus variis in
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                  omnes cœlorum regiones ferantur. </s>
                  <s>Scilicet eo fine, ut in Apheliis
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                  ſuis ubi tardiſſime moventur, quam longiſſime diſtent ab invicem
                    <lb/>
                  & ſe mutuo quam minime trahant. </s>
                  <s>Qua de cauſa Cometæ qui
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                  altius deſcendunt, adeoque tardiſſime moventur in Apheliis, de­
                    <lb/>
                  bent altius aſcendere. </s>
                </p>
                <p type="main">
                  <s>Cometa qui anno 1680 apparuit, minus diſtabat a Sole in Peri­
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                  helio. </s>
                  <s>ſuo quam parte ſexta diametri Solis; & propter ſummam
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                  velocitatem in vicinia illa, & denſitatem aliquam Atmoſphæræ So­
                    <lb/>
                  lis, reſiſtentiam nonnullam ſentire debuit, & aliquantulum retar-</s>
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