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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 432, page id 1041163592:0466
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43. 2
PHIILOSOPHLLE NATDRALIS
D. Qvav diametrum Terrae conjunctim; id eR, ux 39,377 2d Y _C τ00 ac
355 conjunctim, (eu 1079 ad 200. Inde cum Mare noctrum ri
Lunae actollatur ad Dedes 83. Duidum Lunare ri Terrae actolli de-
beret ad pedes 932. Paque de causa Figura L unx Sphaerois cset
cujus maxima diameter producta EraNSIrCE PEF CenErUM PCTEX, e
superaret diametros perpendiculares excectu pedum 287. Talem
isicur Figuram Luna affectat, camque sub initio induere debuit.
.
Corol. Inde vero Et uE eadem semper Lunae Facies in Terram
obvertatur. In alio enim sicu corpus Lunare quielcere non po-
cest sed ad hunc sicum oscillando semper redibit. Actamen ofcil-
laciones, ob parricatem virium agitancium, essene longe cardissimae:
2deo ut Facies illas quae Terram semper respicere deberet, poltie
alcerum orbis Lunaris umbilicum, ob rationem in Prop. XVII. aIla-
tam respicere, neque Hacim ab inde retrahi ec in Perram converci.
E F MI NI A I.
Si APF P Terram desienet uniformiter densam, centroque
C e Polis P, P es SEquatore AF delmeatam; es si centro C
radio C P describi intellicatur Sphaera P2 P C; sit autem OR pla-
num, oui recta a centro solis ad centrum Terrae ducta normaliter
insistit; et Terrae totius exterioris PaP AP CDF, quae Sphaera
modo descripta altior est, particulae sineulae conentur recedere hinc
inde a plano R, sitque conatus particulae cujusque ut ejusdem
distantia a plano: Dico primo, quod tota particularum omnium, in
LEquatoris circulo AF, extra elobum uniformiter per totum cir-
cuitum in morem annuli dispositarum, vis es efficacia ad Terram
circum centrum ejus rotandam, sit ad totam particularum totidem
in sEquatoris puncto a, quod a plano R maxime distat, con-
sistentium vim  efficaciam, ad Terram consimili motu circulari
circularis circum axem, in communi sectione quatoris e planc
DR jacentem, peraretur.
Nam cenerO C diametro B D describatur Pemicirculus
B APDC. Diridi incellisatur semeireumterentia B AD in
Y
M1 A.
aete