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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 351, page id 1041163592:0385
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PRIMCTPTA MATHIEMATTCA.
positionem servabune, nisi per vim aliguam retenti. CerTantibus LIBEK
aurem riribus illis quae in slobos constanter impresx COnserVANE SECORNOS.
hOsce MOtUS, materia ob rationem in Corollario certio eE quarEO
astisnaram, paulatim requiescet ec in Vorrices agi delinet.
Corol. 7. Si Ruidum Similare claudatur in vase sphaerico, 2c
elobi in cenero consistentis uniformi rotatione agatur in Vorricem,
Elobus autem sc ras in eandem partem circa axem cundem revol-
vantur, sintque eorum tempora periodica ut quadrata lemidiame-
trorum: partes Ruidi non prius persererabune in moribus suis SInC
acceleratione ex retardatione, quam sint corum tempora periodica
ut quadrata distantiarum a centro Vorricis. Alia nulla V orticis
constiturio potest ese permanens.
C. Orol. 8. Si vas, Auidum inclusum ec slobus servene hunc mo-
tum, ec motu praeterea communi ansulari circa axem quemvis da-
cum revolvantur; quoniam hOC MOLU NOVO NON muLaEuE aEErituS
Partium Ruidi in se invicem, non mutabuntur motus parcium in-
cer sc. Nam cranstationes partium inter se pendent ab accritu.
Pars quaelibet in eo persererabit motu, quo Hc uE atEritu CX unO
lacere non magis cardetur quam acceleretur attritu ex alcero.
Corol. 9 Inde si ras quieseat ac detur motus globis dabitur
motus Auidi. Nam concipe planum transire per axem slobi et
mocu contrario revolri; et ponc summam temporis revolurionis
hujus ex revolutionis globi esse ad tempus revolutionis globis ue
quadrarum semidiametri rasis ad quadracum semidiamerri globi:
ee tempora periodica partium Ruidi respectu plani hujuS, CruNE UE
quadrata distanciarum luarum a centro slobi.
Corol. 10. Proinde si vas vel circa exem cundem cum globo, vel
circa diversum aliquem, data cum velocitate quacunque movea-
cur, dabicur motus Auidi. Nam si Sycemati tori auferatur valis
mocus angularis, manebunt motus omnes iidem incer se qui prius,
Per Corol. 8. Et motus ilti per Corol. 9. dabuntur.
Corol. TT. Si vas ex Auidum quiescane e globus unitormi cum
mocu revolratur, propagabitur motus paulatim per Duidum tocum
in vas, ee circumagetur ras nisi riolenter decentum, neque prius
delinent Auidum ec vas acceleraris quam sine eorum tempora veri-
odica aequalia temporibus periodicis globi. Ouod si vas ri aliqua
decineatur vel revolvatur moru quoris constanci ec uniformi, de
veniet Medium paulacim ad cacum mocus in Corollariis 8. 9ex 10.
detiniti, nec in alio unquam ctatu quocunque persererabit. Dc.
inde rero s viribus illis cestancibus quibus ras de slobus certis
mocibus
NiIIAIIHII
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