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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 60, page id 1040780814:0078
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ASFRONOMLE PAZSFCA
GIOROLL AREDN.
Erinc patet dari Craritatem in Solem de Planetas omnes primarios.
Cum enim Luna ec terreleria omnia gravia sint in Terram, Comi-
tesque foris et Saturni in Torem es Saturnum respectire; cumque
tres reliqui Plaveta primarii, Mercurius, Venus _ MarS sint COr-
pora ejusdem generis cum Saturno, Jore ec Terra, (quod etiam ex
illorum Craritate versus Solem Cuperius probata liguet;) Constat ex
prius sabilita similitudine causarum similium effectuum, d in illos
etiam dari Craritatem, cusus vis acceleratrix eA quadrato distantia
a centro reciproce proportionalis. Et, quoniam actioni cujulris se
neris contraria est reactio, Sol rieittim in Planetas omnes prima
rios es secundarios gravis cA. Porro, quoniam experimentis ex-
actistime instituris constat corpora quaris, in eadem distantia, x
quali tempore, aequalia spatia cadendo rertuS TETFAM DETCUTVETE.
et momenta corporum inaequalium aequaliter acceleratorum ese
uc ipla corpora; corpora omnia cujulcunque natura, in aequalibus
dictantiis, graria Cunt in Terram in ratione materia quam conti.
nent. Cumque nullum sic dubium naturam CTraritatis vertus 50
lem e Planctas eandem esse atque rersus Terram, (quod Cx PrX
dictis abunde constat, e hinc etiam quod Planeta primarii corum.
que Patellites, corpora sc. ralde inaequalia, aequali vi acceleratrice
versus Solem descendant, prorsus ut corpora magnitudine et densi-
tate inaqualia aeque relociter versus Terram cadunt;) Patet cor-
Dora omnia in Solem e Planetas sinsulos gravitare, et pondera eo-
rum in quemris, paribus ab ejusdem centro distantiis, proportionalia
esse quantirati materia in sinsulis. Et quoniam omnis actio est mu-
tua, Sol et Planctae in corpora quaeris, corporaque proinde omnia
in se inricem, eddem lesc graritant.
PROPOSITIO ZLVIIT
Triutis omnis acentro, vel ad centrum, in lineis rectis undi
quaque per reciones in circuitu propacatae lis, sive effica
cia, in diversis locis est quadrato distantiae loci a centro reciproce
proportionalis.
Sit S centrum a quo vel ad quod Virtus propasatur, circa quod
describantur dux superticies Spharica
TE, M a in quibuscunque distantiis ST,
SM. Dico Virtutis Vim, sire efficaciam,
in r ene ad ejusdem rim in M UE SM9
ad SFG
Vircus eadem, in spatium duplo majus
aequaliter distusa _ sparta, duplo minor
erit in qualibet data parte; quippe dupto
minus constipata: ee si in spatium triplo
majus diffundatur, triplo minor crit: _
univertaliter, efficacia Virturis eAt reciproce ut spatium, in quod
data
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