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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 436, page id 1041163592:0470
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PHIILOSOPMISE NATORALIS
L F MI M A 1II.
Visdem positis: Dico certio quod motus Terrae totius cireum aiem
jam ante descriptum, ex motibus particularum omnium composi-
tus, erit ad morum annuli praedicti circum axem eundem, in ra-
tione quae componitur ex ratione materiae in Terra ad materiam
in annulo, e ratione trium quadratorum ex arcu quadrantali
circuli cujuscunque ad duo quadrata ex diametro; id est, in ra-
tione materiae ad materiam  numeri 925275 ad numerum
1000090.
EA enim motus Cylincri circum axem suum immotum revoi-
ventis, ad motum Sphaerae inscripea ec simul revolventis, ut quae-
libet quatuor aequalia quadrata ad eres ex circulis sibi inscripeis:
ee motus Cylinari ad morum annuli renuistimis Sphaeram dt Cy-
lindrum ad communem eorum contactum ambientis, ut duplum
maceriae in Cplindro ad criplum maceria in annulo; ec annuli
mocus iste circum axem Cxlindri uniformiter ContinuatuS, ad
ejusdem mocum unitormem circum diametrum propriam, codem
tempore periodico factum, uc circumterentia circuli ad duplum
diamecri.
TIY POTHIESIS II.
Si annulus praedictus Terra omni reliqua sublata, Tolus in Orbe
Terrae, motu annuo circa Solem ferretur, e interea cirea axem
suum, ad planum Eclipricae in angulo graduum 23 inclinatum,
moru diurno revolveretur: idem foret motus Punctorum  qui
noctialium sive annulus iste fuidus esset, sive is ex materia ricida
 firma constaret.
DE MONDK
DYOTEMATF