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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 100, page id 1041163592:0134
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20
PHIILOSOPHILE NATORALIS
Corollarium.
Etinc area FMlip(eos, quae radio ab umbilico ad corpus mobile
ducto delcribitur, non prodit ex dato tempore, per agnationem
Ainitam; ee propterea per delcriptionem Curvarum Creometrice ra-
cionalium decerminari nequit. Curras Geometrice rationales ap.
pello quarum puncta omnia per longitudines aequationibus detini-
ta5, id est, per longicudinum rationes complicatas, determinari
DOHUnE; eaterasque (ut Spirales, Juadratrices, Prochoides) 600-
metrice irrationales. Nam lonsicudines quae Cunt vel non lunt ut
numerus ad numerum (quemadmodum in decimo Flementorum)
Cune Arichmetice racionales vel irrationales. Aream isitur PIliplcos
tempori proportionalem abscindo per Curram Geometrice irratio.
nalem uC sEQUITUT.
PROPOSITIO ZXXI. PROBLEMA ZXIII.
Corporis in data Trajectoria Elliprica moti invenire locum ad
tempus assienarum.
FIlipleos B lic  verres principaliss sumbilicus, dc 
centrum, SItque P corporis locus inveniendus. Produc O A ad 6,
NESIEO G ad0 A uc O A2d0 S. Erisc perpendiculum GF, cenerOque
Oa rallo OG describe circulum P. F CI, d SUper LOGMa L
ceu tunces progrediatur ROta GF F revolvendo circa axem
suum, de mceteu puncto suo  describendo Trochoidem AL. I.
Duo
DE MOTO
E DRPORU