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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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IIIIII
PRINCIPTA MATEIEMATICA.
neS, TunE uE vires quas singulae exercene in singulaS. ErgO VireS, LIDER
quas singulxe exercent in lingulas secundum planum FC HL in cubo S. coriDesi
majore, (unc ad vires quas singulae exercent in lingulas secundum
planum feh in cubo minore ut ab 2d AB, hoc cA, reciproce ut
distancix parcicularum ad invicem. 9. F. D.
Ec vice verla, si vires parcicularum singutarum sunt reciproce
ue distancix, id elt reciproce ut cuborum latera AB, ab:. Tummee
virium crune in eadem ratione, et pressiones lacerum DB, ab uE
summae ririum; e pressio quadrati D P ad prestionem lateris DB
ut ab quad. ad AB quad. FC, Cx aquo, presio quadrati D P ad pres-
sonem lateris db ut ab cub. 2d AB cub. id cst, vis comprectionis ad:
vim comprectionis ue densitas ad densitatem. Q. F. D.
Scholium.
Simili argumento, A particularum vires centrituox sint reciproce:
in duplicata ratione dictantiarum inter centra, cubi virium compri-
mentium erunt ut quadraco. quadrata densitarum. Si vires centri-
Fugae sint reciproce in triplicata vel quadruplicata ratione distantia-
rum, cubi ririum comprimentium erunt ut quadrato cubi vel cubo-
cubi densicacum. Pe universaliter, si D ponatur pro distantia, et
E pro denlicate Lluidi compressi, et vires centritusa sine reciproce
uc distantix dignitas qualibet Dn, cujus index est numerus n; vi-
res comprimentes crune ue latera cubica dignitatis Fn F2, cujus
index est numerus n F 2: & contra. Intelligenda vero lune haec
omnia de particularum Viribus centrifusis quae terminantur in Dar-
ciculis proximis, aut non lonse ulera diftunduneur. Exemplum
habemus in corporibus Magneticis. Ilorum Virtus accractira ter-
minatur fere in sui generis corporibus sibi proximis. Magnecis
vircus per interpolitam laminam Ferri contrahitur, ex in lamina Fere
terminatur. Nam corpora ulteriora non tam a Masnete quam a
lamina crahuntur. Ad eundem modum si particulae fugane alias sui
Generis particulas sibi proximas, in parciculas aurem remotiores
virturem nullam exerceant, ex hujusmodi parriculis componentur
Eluida de quibus actum est in hac Propolicione. Ouod li particula
cujusque rircus in infinitum propagetur, opus erie ri majori ad aequa-
lem condensationem majoris quancitatis Fluidi. An vero Fluida
Elactica ex particulis se mutuo Fugancibus constent, Ouestio Phy-
sica est. NNos proprietarem Fluidorum ex ejusmodi particulis con-
sancium Machematice demonstravimus, uc Philosophis ansam Prae-
beamus Ouaectionem illam tractandi.
SFCL.
NIIHHHTHIHBEBIHI