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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 417, page id 1041163592:0451
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PRINOIPTA MATHEMATICA.
1
TTXPCX AZ ad AT cub, erit angulus C P_ (seu Inclinationis LIven
horaria Variacio) ad angulum 33. 10. 333 ut IZZAZ XF C FCRT1VS.
f  ad AT cub. Q. F. I.
FIxC ita se habene ex FIypochesi quod Luna in Orbe Circulari
uniformiter grratur. Ouod s Orbis ille F llipricus (iE, motus me
dioeris Nlodorum minuetur in racione axis minoris ad axem majo
rem; uti supra expolicum est. Ec in eadem ratione minuetur
etiam Inclinationis Variacio.
Corol. T. Si ad Nn crigatur perpendiculum P F, Citque p M
motus horarius Lunae in plano Rclipricae; ee perpendicula pR, MK
in QT demissa ec uerinque producta OcCurrAnE YF in FY et B:
erit IF ad AT ut HK ad Mp, ec TC ad FTp uE TZ ad AT:
idcoque YYX TC equale kX FIpX FZ
I
N
FIp NB ductae in rationem =: ec propterea Inclinationis Varia-
A
eio noraria ad 33, 10. 33 ut SIp MB ducta in AZX = = Z =
2d ATCub.
A
PC
Corol. 2. Ideoque s Ferra ex Nodi singulis horis completis re-
traherentur a locis luis novis, e in loca priora in instanci semper
reducerentur, ut litus corum, per mensem inceorum periodicum,
datus maneret; tora Inclinarionis Variatio tempore mensis illius
FOret ad 33. 101. 337 ut 2goregatum omnium arcarum TIp MB,
in revoluione puncti p genitarum, ec sub signis propriis + ee
P
conjunctarum, ductum in AZ, XFZX ∞  ad MPX AFcub. id
ad MP X
AZ cub. hoc eAt, ut circumterentia  Aga duda in A Z X F Z.t 
ad 2MIpX AT quad.
Corol. 3. Proinde in dato Nodorum licu, Variatio medioeris
horaria, ex qua per mensem uniformiter continuata Variario illa
menstrua generari poset, cAt ad 33. 10. 33 ut AZXFL
L
C ad 2AZ4 Eve v PDX 22KY
TIh
ad PGX4 AY, id