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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 424, page id 1041163592:0458
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424
PETTLOSOPHIA NALOKHILIS
De nvnvI menci annui praedicti supra distantiam ApOexi LuN a Perie XO
Solis in consequentia; vel quod perinde est, capiatur ansulus
CD F aequalis complemento Anomalix verx Solis ad pradus 300.
RE SIC D F ad DC ut dupla Eccentricitas Orbis magni ad diltan-
tiam medioerem Solis a Terra, ex morus medius diurnus Solis ab
APOEXO Lunxe ad morum medium diurnum Solis ab ApO8~O
proprio conjunctim, id cA, ut 335 2d 1000 e 52. 27. 16 2d
50. 8. 10 conjunctim, sIVO UE Z 2d 10O. RE COnCIDE CCMErUM
Orbis Lunx locari in puncto F, e in Epicyelo cujus centrum est
D ec radius D F incerca revolri dum punctum D progreditur
in circumterentia circuli D B D. Ilac enim ratione velocitas
qua centrum Orbis Lunxe in linca quadam curra circum cenerum
C delcripea morebitur, erit reciproce ut cubus distantix Solis a
Terra quomproxime, uc OpOrtet.
Computatio motus hujus difficilis est, sed Facilior reddetur per
approximationem sequencem. Si distantia medioeris Lunx a Perra
sic parcium 100000, _ Eccentricitas TC sit partium 5505 ut (u-
Pra: recta C B vel CD invenietur partium 117243 ec recta D F
axsxett a2.
partium 353. Ft haec recta ad distantiam TC subrendit angulum
ad Terram quem translatio centri Orbis a loco D ad locum s ge
nerat in motu centri hujus: ee eadem recta duplicata in Rtu ParaI
lelo ad distantiam suxerioris umbilici Orbis Lunxe a Ferra, subcen-
dic eundem angulum, quem urique translatio illa generat in moru
umbilici, ec 2d distantiam Lunxe a Terra subrendit angulum quem
eadem cranslatio generat in mocu Luna, quiquoipropeerca  qua-
rio centri secunda dici porest. Pe haec AEquatio in medioeri Lunx
distantia a Terra, eA ut sinus anguli quem recta illa D Pcum recta
a puncto si ad Lunam ducta continet quamproxime, ec ubi ma-
xima eAt cradit 2. 25. Angulus aurem quem recta DF ec recta
2 puncto F ad Funam ducta comprehendunt, invenitur vel sub-
ducendo angulum F D F ab Anomalia media Lunae, vel addendo
distantiam Lunx a Solc. ad distanciam APOExi LunX ab APO8~O
Solis