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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 388, page id 1041163592:0422
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PTITLOSODHLA NATDRALIS
SFSREHaTE PROPOSITIO XXI THEOREMA XVII.
Puncta sEquinoctialia recredi, e axem Terrae sineulis revoluii
onibus annuis nutando bis inclinari in Eclipticam e bis re-
dire ad positionem priorem.
Patet per Corol. 20. Prop. LXVI. Lib. I. Mocus tamen iste
nutandi perexisuus cnet debec, ec rix aut ne rix quidem sen-
Abilis.
PROPOSITTOZZIL TETEOREMA ZVIII.
Motus omnes Lunares, omne sque moruum inaequalitates ex alla-
tis Principiis consequi.
Planetas majores, interea dum circa Solem Feruntur, porse alios
minores circum se revolrentes Planetas deferre, ee minores illos in
Kllipsibus, umbilicos in ceneris majorum habentibus, revolvi de
DerO PAFCE PEF PFOD. LXV. LIb. T. Actione aucem Solis DerEUFBA
buntur eorum mocus multimode, iisque adficientur inxqualicari.
BuS quxe in LUna nOTFA NOFANEUF. HxC utique (per C OrOL 2.
3, 43 eE 5. PFOD. LXVE.) velocius movetur, ac radio ad Terram
ducto describit aream pro tempore majorem, Orbemque habet
minus currum, aeque adeo proxius accedit ad Perram, in Syzygiis
quam in Ouadraturis, nisi quatenus impedie morus Rccentricitatis.
iccentricitas enim maxima est (per Corol. 9. ProP. LXVT.) ubi
apogaum Lunae in Sy2ygiis versacur, se minima ubi idem in Oua-
draturis consistie; ex inde Luna in Perigno relocior est et nobis
provior, in Apoexo aurem cardior de remocior in Syzrsiis quam
in Ouadraturis. Progreditur insuper Apoexum, de regrediuntur
Nodis sed motu inaquabili. EF Apoexum quidem (per Corol. y
eE 8. PFOP. L.XVT.) relocius prosreditur in Syzysiis suis, cardius
regreditur in Ouadraturis, se excestu prosrenus supra regressum
annuatim fertur in consequentia. Nodi aurem (Der Corol. II.
PFOD. LXVI.) quiescune in Syzysiis suis, ee relocissime regrediun-
cur in Ouadraturis. Sed d major est Lunae lacicudo maxima in
ipsius Ouadracuris (per Corol. 1O. PFOD. LXVI.) quam in SyZY-
siis: ee mocus meduis cardior in Peribielio Perrxe (Per CorOl. 6.
PrOP
DE MONDI