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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 448, page id 1041163592:0482
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448
PFTTLOSOPMLAE NATIORALIS
L F NI NI A VII.
per datum punctum P ducere rectam lineam BC, cujus partes
PB, PC, rectis duabus positione daris AB, AC abscissa, da
tam habeant rationem ad invicem.
A puncto illo F ad rectarum 2l-
Terueram AB ducatur recta quaeris
PD, e producatur cadem versus
rectam alteram AC ulque ad F, ut
SIE P F ad F D in daca illa rationc.
IpA AD ParaIlela SIE P C; & 
asaEUT C PB, erit FC ad F B ut
PF 2d PD. 8. F. F.
L F MI M A VIII.
Sit ABC Parabola umbilicum habens S. Choraa AC. 
in I. abscindatur Sermentum ABC I, cujus diameter sit l e
vertex u. In Iu producta capiatur pO aequalis dimidio ipsius
DE MONBI
YSXEMATE
25. tit si Cometa B modeaur in ueu  umur
EB secans AC in F: dico quod punctum F. abscindet de chorda
AC sermentum AP. tempori proportionale quampronime.
Junsa-
TN. Funeatur OS, ex producatur ea ad E, ut sit SE aequalis