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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 347, page id 1041163592:0381
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PRINOTPTA MATHEMATIOA.
47
tionum tempora ue ipsorum semidiametri, et persereree Ruidi pars L. IBEH
unaguaeque in mocu suo: crune parcium singularUM LEMPOTA PCri SECVKVOS.
Odica uc iplarum distantixe ab axc cplindrorum.
Corot. 3. Si crlindro ec Ruido ad hunc modum moris addatur
vel auferatur communis quilibet mocus angularis; quoniam hoc
nOrO mOEu non mutatur accricus mutuus parcium Auidis non mu-
tabuntur mocus parcium inter (c. Nam cranslationes parrium 26
invicem pendene ab actritu. Pars quaelibet in eo perleverabit
mocus quis actricu ucrinque in contrarias partes Facto, non masis
acceleratur quam recardatIr.
Corol. 4. Inde si tori exlindrorum e Ruidi Systemati auferatur
mocus omnis angularis exlindri exterioris, habebitur mocus Auidi
in cxlindro quielcente.
Corol. 5. Isitur s Ruido ex exlindro exteriore quielcentibus, re-
volracur cytindrus incerior unitormicer; communicabitur motus
circularis Auico, ec paulatim per cotum Ruidum propagabitur;
nec prius desiret auseri quam Auidi partes sinsulxe morum Corol-
lario quarto delinitum acquirant.
Corol. 6. tec quoniam Auidum conatur motum Cuum adhue lacius
propasare, hujus impecu circumagetur etiam cplindrus exterior
nisi violenter detentus; ee accelerabitur ejus motus quond ulque
tempora periodica cxlindri utriusque aequentur inter (c. Quod si
cxlindrus exterior violenter detineatur, conabitur is motum Auidi
recardare; ec nili eylindtrus interior vi aliqua exerinsecus imprecta
motum illum contervet, efficiet ut idem paulatim ceslet.
Ouxe omnia in Aqua profunda stagnante experiri licet.
PROPOSTTIOLII THEOREMA XL.
Si Sphaera solida, in Fluido uniformi e infinito, cirea axem posi-
tione datum uniformi cum motu revolvatur, e ab hujus im
pulsu solo acatur Pluidum in orbem; perseveret autem Fluidi
pars unaquaeque uniformiter in motu suo: dico quod tem-
pora periodica partium Eluidi erunt ut quadrata distantiarum
a centro Sphaerae.
Ca5. T. Sit AF L. Sphaera unitormicer circa axem d’in Orbem
icta, ec circulis concentricis BE, CHN, DIO, EKP, ec.
distin-