Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1ut temporum differentia ſit ad ſummam temporum, ut ſumma tem­
porum ad dies plus minus ſexcentos; vel ut punctum Eincidat in
punctum Mquamproxime, & inde aberret verſus Ipotius quam
verſus A.Si tales obſervationes non præſto ſint, inveniendus eſt
novus Cometæ locus per Lemma ſextum.
DE MUNDI
SYSTEMATE
Deſignent SSolem, T, t,τ tria loca Terræ in Orbe magno,
TA, tB, τCobſervatas tres longitudines Cometæ, V tempus in­
ter obſervationem primam & ſecundam, W tempus inter ſecun­
dam ac tertiam, X longitudinem quam Cometa toto illo tempore,
ea cum velocitate quam habet in mediocri Telluris à Sole diſtan­
tia, deſcribere poſſet, quæque per Corol.
3. Prop. XL, Lib. III.
invenienda eſt, & tVperpendiculum in chordam Tτ. In longi­
231[Figure 231]
tudine media tBſumatur utcunque punctum Bpro loco Co­
metæ in plano Eclipticæ, & inde verſus Solem Sducatur linea
BE,quæ ſit ad ſagittam tV,ut contentum ſub SB& St quad.
ad cubum hypotenuſæ trianguli rectanguli, cujus latera ſunt SB&
tangens latitudinis Cometæ in obſervatione ſecunda ad radium tB.

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