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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 169, page id 1041163592:0203
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PRINETDTA MATTIEMATTCA
169
cularem ac si simul se semel in locum interfectionis aequatorum
motuum illorum, quos scortim generarent, tuistent impresi. uls
Globus isitur homosencus ec pertectus non retinet motus plures
distinctos, sed impressos omnes componit ex 2d unum reducie, ee
quatenus in se cA, Prratur semper motu simplici ee unitormi circa
axem unicum, inclinatione semper invariabili dacum. Sed nec vis
centripeta inclinationem axis, aue rotationis relocitarem mutare
Dotest. Si Cilobus plano quocunque, per centrum luum e cen.
crum in quod vis dirigitur cranscunte, dividi incelligatur in duo he-
milphaeria; urgebit semper ris illa utrumque hemisphaerium aequa
licer, ex propterea Globum, quoad motum rocarionis, nullam in
Partem inclinabie. Addatur vero alicubi inter polum e aequato-
rem materia nora in Formam montis cumulata, et haeC, perpecuo
conatu recedendi a centro sui motus, curbabie mocum Gilobis Fa-
cietque Dolos ejus errare per ipsius superticiem, et circulos circum
se punctum que sibi oppolicum perpecuo describere. Neque corrige-
tur ista vaoationis enormitas, nisi locando montem illum vel in volo
alterutro, quo in Catu (per Corol. 21) Nodi aequatoris prosredien-
tur; vel in aequatore, qua ratione (per Corol. 20) Nodiregredi-
entur; vel denique ex altera axis parte addendo materiam noram,
qua mons inter morendum libretur, et hoc pacto Nodi vel pro-
Gredientur, vel recedent, perinde ut mons et haecee nova materia
lune vel polo vel aequatori propiores.
PROPOSITIO LXVII. THEOREMA XXVII.
Positis isdem attractionum leribus, dico quod corpus exterius S,
circa interiorum P, T commune gravitatis centrum C, radiis
ad centrum illud ductis; describit areas temporibus maris pro-
portionales es Orbem ad formam F.llipseos umbilicum in centro
eodem habentis maris accedentem, quam circa corpus intimum
 maximum T, radiis ad ipsum ductis, describere potest.
Nam corporis S’actractiones versus T e P componunt ipsiuS aE-
tractionem absolutam, quae magis dirigitur in corporum T ec P com
mune graricatis cenerum C, quam in corpus maximum T, quaeque
quadrato distantiae SC magis est proporcionalis reciproce, quam
Juadrato distantixe ST: ut rem perpendenti Facile constabit.
PRO.
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