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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 94, page id 1040780814:0112
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94
ASTRONOMIE PAYSICF
quam qui sunt verlus circulum inter polos medium; tardiores ex at.
tritu mutuo incitarentur ex relociores retardarentur, contra hypothe
Fin, qua suppoluimus Ruidum persererare in motu luo uniformiter.
Cium ergo annulorum omnium, in eadem distantia a centro, idem sit
tempus periodicum, rerolrentur similiter ac s ex orbe tolido non
dum essent relecti; hoc c, absque attritu: et ideo eadem lex etiam
in hoc casu orbium in annulos refectorum obtinet, quae prius obti.
nebat ante orbium divitionem; hoc cs, annulorum lingulorum tem-
Pora periodica erunt ut quadrata distantiarum ipsorum a centro me.
dix sphaera Colida.
Diridatur jam annulus unusquisque, sectionibus transversis, in
particulas innumeras constituentes Auidum absolute e uniformiter
tale: fit quoniam ha sectiones non spectant ad lesem motus circu
laris, sed ad constitutionem Auidi Polummodo conducunt; persevera-
bitmotus circularis ut prius. Ilis diritionibus annuli omnes quam
minimi alperitatem ex vim attritus mutui aut non mutabunE, aut
mutabunt aqualiter: et manente caularum proportione manebit
effectuum proportio; hoc est, proportio motuum e temporum peri-
odicorum ut prius. Et isitur partium singularum, in supra deseri
pto Vortice, tempora periodica crunt ut quadrata distantiarum a
Centro Vorticis. 9. F. D.
GOROLLAREOM T.
Si major sit resistentia partium Vorticis in majore a centro distan-
tia quam in minore, rel obmajorem crassitiem vel minorem Auidi-
tatem particularum Auidum constituentium, vel ob aliam quamlibet
caulam; tum segnius morebuntur partes Vorticis à centro remoti
ores, quam pro ratione superius in Propositione Cabilita: hoc cAt.
tempus periodicum partium Vorticis a centro remotiorum erit ad
tempus periodicum partium centro viciniorum in majore quam du-
plicata ratione distantiarum illarum particularum a CenErO.
GOROLLARTON 2
Si Vortex non extendatur in infinitum, sed Duidum in Vorticem
circumactum contineatur rase risido riolenter detento, diverlae A
sura a spharica globo centrali concentrica; movebuntur Vorticis
particula, non in circulorum peripheriis slobo circumasenti con-
centricis, sed in lineis fere conformibus rasis fisura; e tempora
Periodica erunE ut quadrata medioerium distantiarum a centro
Quamproxime.
LAO1OdLL1O LLLB
Vae in supra explicata Lisssa Calad sunt erronea brevi
ter indicare  resellere.
CL LFOP. PraC. Pateat Vorticem quemlibet, à phaera (0
licta crea arem posicione datum unitormiter reroluca tactum, in
infinitur