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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 131, page id 1041163592:0165
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DRINOIPLA MATHIEMATICA.
A5 vel A 4, auE directCVE A vel A13. Denique scorpuS pergendo
ab Apside summa ad Apsidem summam confecerie rerolurionem in.
cegramu ex praeterea gradus tres, adeoque Apsis illa lingulis corporis
revolucionibus confecerit in consequentia sradusFrCS; Cxit m ad nuE
3635r. 2d 360gr. Tve ut 221 ad 120, adeoque Amn 3 crie aequale
2952
A 2464E, _E PTODECrCA VIS CENETIDCTA FCCIPROCC VE A  4OAE seure
CIPTOCE UE A2245 proxime. Decrescitisitur ris centripeta in ratio-
ne paulo majore quam duplicata, sed quae ricibus 507 propius ac
duplicatam quam ad criplicatam accedic.
Corol. 2. Tlinc etiam s corpus, vi centripeta quae sit reciproce
ut quadratum alcitudinis, revolratur in FllipE umbilicum haben-
ec in centro virium, ex huic vi centripetxe addatur vel auteraEUE
vis alia quaeris extranca; cognosci porest (per Lxempla tertia
motus Apsidum qui ex ri illa extranca orietur: ec contra. VFs
vis qua corpus revolvicur in EIlipsi sic ur  ec vis exeranca ab-
lata ue c A, adeoque vis reliqua ut
A = C A+
Acub. erie (in Exemplis ter-
tiis) b aequalis r, m aequalis F, n aequalis 4 adeoque angulus revo.
lucionis inter Apsides aequalis angulo graduum 180 V ==. P0.
4.C
natur vim illam exerancam cNC 357, 45 partibus minorem quam vIS
altera qua corpus revolritur in Fllipsis id estc cC35, 45, existente A
vel T aequali 1; e 180 V.
E
00
4c eradet 180 13
id eAt. 180 er. 45 m. 4+ S. Isitur corpus de Apside Cumma disce
dens, motu angulari 180 gr. 45 m. 44. s. perveniet ad Apsidtem
imam, et hoc motu duplicato ad ApSidem summam redibic: adco-
que Apsis summa singulis rerolutionibus progrediendo conticiet
Or. 3I M. 28 sec.
Hactenus de Nocu corporum in Orbibus quorum plana per
cenerum Virium cranseune. Superest ut Mocus etiam decermine
mus in planis excenericis. Nam Scripeores qui Mocum gravium
tractanE, considerare Tolene ascensus e descensus ponderum
tam obliquos in planis quibuscunque datis, quam perpendicu-
ares: ec Pari jure Mocus corporum Viribus quibulcunque cen-
Era
LTB P. 1
R L At V 5.