Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  tempore hyberno, & aſcendens uſque ad cingulum Orionis ibi evanuit.
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                    <lb/>
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                  Cometa ille anni 1618, qui c radiis Solaribus caudatiſſimus emerſit,
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                  ſtellas primæ magnitudinis æquare vel paulo ſuperare videbatur,
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                  ſed majores apparuere Cometæ non pauci qui caudas breviores
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                  habuere. </s>
                  <s>Horum aliqui Jovem, alii Venerem vel etiam Lunam
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                  æquaſſe traduntur. </s>
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                  LIBER
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                  TERTIUS.</s>
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                  <s>Diximus Cometas eſſe genus Planetarum in Orbibus valde ec­
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                  centricis circa Solem revolventium. </s>
                  <s>Et quemadmodum e Plane­
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                  tis non caudatis, minores eſſe ſolent qui in Orbibus minoribus &
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                  Soli propioribus gyrantur, ſic etiam Cometas, qui in Perihcliis
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                  ſuis ad Solem propius accedunt, ut plurimum minores eſſe, ne
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                  Solem attractione ſua nimis agitent, rationi conſentaneum videtur. </s>
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                  Orbium vero tranſverſas diametros & revolutionum tempora
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                  periodica, ex collatione Cometarum in iiſdem Orbibus poſt longa
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                  temporum intervalla redeuntium, determinanda relinquo. </s>
                  <s>Interea
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                  huic negotio Propoſitio ſequens lumen accendere poteſt. </s>
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                  PROPOSITIO XLII. PROBLEMA XXII.
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                  Trajectoriam Cometæ Graphice inventam corrigere.
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                  Oper.
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                  1. Aſſumatur poſitio plani Trajectoriæ, per Propoſitio­
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                  nem ſuperiorem Graphice inventa; & ſeligantur tria loca Cometæ
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                  obſervationibus accuratiſſimis deſinita, & ab invicem quam ma­
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                  xime diſtantia; ſitque A tempus inter primam & ſecundam, ac
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                  B tempus inter ſecundam ac tertiam. </s>
                  <s>Cometam autem in eorum
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                  aliquo in Perigæo verſari convenit, vel ſaltem non longe a Peri­
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                  gæo abeſſe. </s>
                  <s>Ex his locis apparentibus inveniantur, per opera­
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                  tiones Trigonometricas, loca tria vera Cometæ in aſſumpto illo
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                  plano Trajectoriæ. </s>
                  <s>Deinde per loca illa inventa, circa centrum
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                  Solis ceu umbilicum, per operationes Arithmeticas, ope Prop. </s>
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                  XXI. Lib. </s>
                  <s>I. inſtitutas, deſcribatur Sectio Conica: & ejus areæ,
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                  radiis a Sole ad loca inventa ductis terminatæ, ſunto D & E;
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                  nempe D area inter obſervationem primam & ſecundam, & E
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                  area inter ſecundam ac tertiam. </s>
                  <s>Sitque T tempus totum quo
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                  area tota D+E, velocitate Cometæ per Prop. </s>
                  <s>XVI. Lib. </s>
                  <s>I. in­
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                  venta, ceſcribi debet. </s>
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                  <s>
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                  Oper.
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                  2. Augeatur longitudo Nodorum Plani Trajectoriæ, ad­
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                  ditis ad longitudinem illam 20′ vel 30′, quæ dicantur P; & ſer­
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                  vetur plani illius inclinatio ad planum Eclipticæ. </s>
                  <s>Deinde ex </s>
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