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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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IIIIIII
PRINCIDIA MATHEMATICA.
PROPOSITIOMII TFEOREMA VII.
Gravitarem in corpora universa fieri, eamque proportionalem esse
quantitati materiae in singulis.
Planetas omnes in se mutuo grares esse jam ante probarimus,
ut ex gravicatem in unumquemque scortim spectatum esse reci-
Droce uc quadracum dictantix locorum à centro Planctxe. lc inde
consequens eAt, (per PTOD. EXIX. Lib. I. ee ejus COrollaria) Gra.
vicarem in omnes proxorcionalem cMe materiae in iildem.
Porro cum Planetx cujulris A partes omnes grares sine in Pla-
netam quemris B, ec gravicas partis cujusque lc ad graritatem
tocius, uc materia partis ad materiam tocius, e actioni omni re-
actio (per motus Legem certiam) aequalis lc; Planeta B in partes
omnes Planetae A vicissim gravitabie, e erie gravitas lua in par.
tem unamquamque ad graritatem Cuam in cotum, ut maceria par-
eis ad materiam eocius. d. F. D.
Corol. 2. Oritur igitur de componitur gravitas in Planetam to-
cum ex graritate in partes lingulas. Cujus rei exempla habemus
in attractionibus Magnericis e Flectricis. Oritur enim actractio
omnis in eorum ex accractionibus in partes singulas. Res incelli-
secur in graritate, concipiendo Planetas plures minores in unum
Globum coire ec Planctam majorem componere. Nam vis torius
ex viribus partium componentium oriri debebit. Siquis objiciae
quod corpora omnia, quae apud nos une, hac lege graritare de-
berent in se mutuo, cum tamen ejulmodi graritas neuriquam sen-
tiatur: Respondeo quod gravitas in haec corpora, cum sic ad gra-
vicarem in Terram tocam ue lune haec corpora ad Terram tocam,
lonse minor est quam quae senciri POME.
Corol. 2. Gravitatio in lingulas corporis particulas aequales est
reciproce ut quadracum distantix locorum a parrieulis. Pater per
Corol. 3. PFOP. EXKIV. Lib. I.
11
. 1.1
l RC.
PERXLOSC
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