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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 362, page id 1041163592:0396
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DE NONDI
SXBTEMATE
PHILOSOPHLAE NATDRALIS
SIYIONH S
a t L
PROPOSTTTOT THEOREMA I.
Pires, quibus Planetae Circumjoviales perpetuo retrahuntur à mo-
tibus rectilineis  in Orbibus suis retinentur, respicere cen-
trum Fovis, e esse reciproce ut quadrata distantiarum loco-
rum ab eodem centro.
Datee pars prior Propolitionis per Phxenomenon primum, et
a
Propolitionem secundam vel certiam Libri primi: ex pars
posterior per Phaenomenon primum, se Corollarium sextum Pro-
Dolitionis quartae ejusdem Libri.
Idem incellise de Planetis qui SACUEHUM COMIEAREUE, DEF PHX-
nomenon secundum.
PROPOSETIOH THEOREMA H.
Vires, quibus Planetae primarii perpetuo retrahuntur a motibus
rectilineis, e in Orbibus suis retinentur, respicere Solem, et
esse reciproce ut quadrata distantiarum ab ipsius centro.
Patet parS Prior Propolitionis Der Phanomenon quintum, de
Propolitionem secundam Libri primi: dc pars posterior per Phae-
nomenon quartum, et Propolitionem quartam ejusdem Libris
accuratissime autem demonstratur haec pars Propositionis per
quietem Apheliorum. Nam aberrario quam minima à rarione
suplicata (per Corol. T. Prop. XEr. Lib. I.) mocum Apsidum in
fingulis rerolurionibus nocabilem, in pluribus enormem efficere
deberet.
l R D.