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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 200, page id 1041163592:0234
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20C
PHILOSOPHLLE NATORALIS
PROPOSITIO ZOII. PROBLEMA ZIVI.
Dato Corpore attractivo, invenire rationem decrementi virium cen-
tripetarum in ejus puncta singula tendentium.
F. Corpore daco Formanda est Sphaera vel Cplindrus aliare Rou-
ra regularis, cujus lex actractionis, cuiris decrementi rationi con-
OrvenS (PeF PFOD. LXXX, LXXXT, _E ZCL) inveniri potest. Dein Fa
etis experimentis invenienda est vis actractionis in diversis dictan
ciis, ex lex accractionis in torum inde paretacta dabit rationem de-
crementi virium partium singularum, quam invenire oportuit.
PROPOSITIO ZOIII. THEOREMA XLVII.
Si Solidum ex una parte planum, ex reliquis autem pareibus insimi-
tum, constet ex particulis aequalibus aequaliter attractivis, qua
rum vires in recessu a Solido decrescunt in ratione potestatis cu-
jusvis distantiarum plusquam quadraticae,  vi Soliditotius cor-
pusculum ad utramvis plani partem constitutum trabatur: dico
quod Solidi vis illa attractiva, in recessu ab ejus superficie pla-
na, decrescet in ratione potestatis, cujus latus est distantia cor-
pusculi a plano, es Index ternario minor quam Index potesta-
tis distantiarum.
Cas. F. Sit L CL planum
quo Solidum TerminAEUr.
Saceat Solidum aurem ex
parce plani hujus versus
T, inque plana innumera
mrMnLN, ec. IPACF
Parallela FCSOIVaEuT. EF
primo collOcetur COrpUIS AE-
tractum C extra Solidum.
AgatuE aurem CGTL Y DIa-
nis illis innumeris perpendicularis, e decrescant rires aetractirae
punctorum Solidi in ratione potestatis distantiarum, cujus index sit
nUCTUS N FETNATIO NON MINOT. ErgO (per C OrOL. 3. PFOP. XC)
11o
Lp.
DE NOTV
CiORPOROM
b
mamnt