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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 450, page id 1041163592:0484
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PHILOSOPHLSE NATVRALIS
L F MI M A X.
Si producatur Sp ad W Cx P, ut uD sit pars tertia ipsius pl
 SP sit ad SN ut SN ad Su. Cometa, quo tempore deseri-
bit arcum AVC, si prorrederetur ea semper cum velocitate
quam habet in altitudine ipsi SP aequali, describeret longitudi
nem aequalem chordae AC.
Nam A Cometa velocitate quam habet in un eodem lempor
prosrederetur unitormiter in recta quae Parabolam tangie in u;
area quam radio ad punctum S ducto describeret, aequalis esce
areae Parabolicae ASCu. Ideoque concentum sub longitudine in
tansente descripta e longitudine su, esset ad contentum sub
longitudinibus AC e SM, ut arca ASCu ad criangulum
ASCM, id eAt, ut SN ad SMI. Ouare AC est ad longirudi-
nem in tangente descripram, uc Se ad SN. Cum aurem veloeitas
d
DE MONDE
STSTEMAYV
Cometx I alticudine SF sC (pEE OL B. PFOD. ZVT. Lib. I.)
2d relocitalem in alcicudine Su, in subdpea Lactem L a
Su inverse, id est, in racione Su 2d SIP, sono nac rso-
citate ebdem tempore descripta, erit ad lons u cungo
descriptam, ut Su ad SN. Igitur AC de lonsicudo hac nova H
locitate Cereripea, cum sine ad lonsicudinct  canget elep.
tam in adem racione, aequantur inter (c. Q. L.D.
Corol. Cometa ixitur ea cum relocitate, quam habet in alcirudine
du +3u Codem cempore delcibele Cblcat C. Guape
C L.MM A