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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 166, page id 1041163592:0200
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166
PTTTLOSOPTTTLE NATORALIS
De Moro revolutionis quam proxime. Conjungantur hxe rationes cum ratio.
nibus Corollarii 14, ec in quolibet corporum T, P, SSyRemate,
ubi P circum T sibi proxinquum, ec F circum S longinguum re-
volritur, errores angulares corporis P, de centro P apparentES,
erune, in singulis rerolutionibus corporis illius F, ut quadratum
cemporis periodici corporis P directe e quadratum temporis pe-
riodici corporis T inverse. FF inde motus medius Augis erit in da-
ta ratione ad morum medium Nodorum; eE motus uterque erit ut
quadratum temporis periodici corporis P directe ae guadratum
temporis periodici corporis Y inverse. Augendo vel minuendo
Fxcentricitarem ex Inclinationem Orbis P AB non mutantur mo-
tus Augis e Nodorum sensibiliter, nisi ubi eaedem sune nimis
MaGMA.
Corol. 27. Cum autem linea L. M nUnC MaIOF HIE nunC MINOE
quam radius PT, exponatur ris medioeris L. M per radium il.
Jum PF; Q Crichaec ad
vim mediocrem SR
vel SN (quam expo-
nere licet per ST) ut
longitudo F F ad lon-
situdinem ST. F A au-
tem vis medioeris SWV
vel ST, qua corpusY
recinetur in Orbe suo
circum S, ad vim qua
corpus P recinetur in Orbe Tuo circum P, in racione composita ex
ratione radii SF ad radium PF, ee ratione duplicata temporis DC-
riodici corporis P circum F ad tempus periodicum corporis L
circum S. Ec ex aequo, vis mediocris L. M, ad vim qua corpus
D recinetur in Orbe suo circum T (quare corpus idem P, co-
dem tempore periodico, circum punctum quodris immobile Y ad
dictantiam P F revolvi POsset) est in rarione illa duplicata periodi-
corum temporum. Dacis isitur temporibus periodicis una cum di-
ctancia P F, datur vismedioeris L. M; et ea data, datur etiam vis
M N quamproxime per analosiam lincarum PF, M I.
volritur, finsamus corpora plura Auida circum idem Tad aequa-
les ab ipso dittantias moveri; deinde ex his contiguis factis concla-
ri Annulum.: Auidum, rocundum ac corpori Y concentricum; et
sinsulae Annulivarces, motus suos omnes ad lesem corporis P Per-
agendo
quo
ooncaranono
Corol. 18. Tisdem legibus quibus corpus P circum corpus F re
lonnoo