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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 191, page id 1041163592:0225
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PRINOIPTA MATHTEMALICA.
tas O, ee erit haec superficies (per de-
monstrata Archimedis) uEP F X D FXD.
Lonamus praeterea vires attractiras par-
ticularum Sphaera CRC reCIPrOCC UE
distantiarum dignitas illa cujus Index
CAt n: e vis qua supertcies FP tranie
COrpUS F Crit uE
EXO
DFn = FTuic PrO. P
portionale sic perpendiculum FN duc-
cum in O; _ arca curvilinea BD L. IB,
quam ordinacim applicata FN in lon-
sicudinem DB per motum continuum
ducta describit, crit uE vis tota qua
SeGmEntuM FOTuM R B S D trahiE COrDUS P. Q. F. I.
EROPOSITIOLXXEIV. PROBLEMA XLII
Invenire vim qua corpusculum, extra centrum Sphaerae in axe Sec
menti cujusvis locatum, attrahitur ab eodem Sermento.
A SEGMENEO F B R EraHaTuT COrpUS F (Vide FiB. PrOD. LXXIX3
EXKK, L.XXXL) in ejus axc ADB locatum. Centro P interval-
(0 F F. describatur superficies Sphaerica P FK, qua distinguatur
Scomentum in parres duaS F BR F _C P FR D. Ouaratur vis Par-
tis prioris Der PFOP. LXXXI, ec vis partis Polterioris per PFOD.
EXXXUI; ec summa virium erie vis Segmenei corius L. B X D.
d. F. T.
Scholium.
Explicaris aetractionibus corporum Sphaericorum, jam pergere
liceret ad Leres accractionum aliorum quorundam ex particulis ac-
cractiris similiter constantium corporum; sed ista particulatim
cractare minus ad insticutum spectat. Suftecerie Propositiones
qualdam generaliores de riribus hujusmodi corporum, deque mo-
cibus inde oriundis, ob carum in rebus Philo(ophicis aliqualem.
usum, subjungere.
DLCTIC
LADEK
PRIMVS