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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 289, page id 1040780814:0307
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Lib. IV.
SE GEEOMETRLCE L LEMENTA.
etd
ctum; adeoque non tantum rerts c l gC
85
Rurlus, idem hiet si, reliquis manentibus, orbis rerolrens motea
tur in antecedentia majore celeritate quam cAt dupla ejus cellstalus
qua linea rL. in consequentia fercur, i I 19.
catu ar a eA plusquam duplo majot Gaa LL. LB CI ALB
major quam ATL, adeoque (ut prtus, cl aset quass  ce pust
ctum c extra circulum bDB; ec, ob Cau Gcan Pes Facosse.
Vis centripeta corporis in orbe revolvente alp moti ctiamnulie
major quam Vis centripeta corporis mont  o Gul A L. 1.
AE E Orbishic al presreditur celeritate minore quam dupla estu
Jua linea TL progreditur, uE in f18. L C  al a a
venturum illud ad c pun
CEUF.
a 
COrpuS L
centripet d uree
AcendeHS MIHIIOLC VCtripetd ursebitur quam L in orbe quielcente.
Nam quoniam ansulus a r a non cM duplus ipsIuS ATT. SVC a TI
exit a rminor quam axl, (hoc cA, ATF,) et ideo ec quam eb mi-
nor; adeoque c punctum, ad quod l perreniret E pari Vi centripeta
urseretur acque ipsum E, intra circumterentiam circuli BbD. Sed
corpus in orbe rerolvente motum superius octensum est reperiri in
D puncto remotiore a centro quam est c; minore ergo Vi centripeta
urgetur corpus  orbem alp describens, quam illud L. quod sertur
in orbe quiescente AI. P. Atque contraria omnia continsent corpori
ab ima apside ad summam ascendenti: de per omnia vicisim.
COROLLARTUM 2.
Trinc etiam disterentia Virium centripetarum in orbe mobili de
immobili (puta in B dE B) est ad Vim centripetam, qua corpus motu
circulari moveri potest ab N ad B eodem tempore quo corpus L. in
orbe immobili deseribit arcum L. B, u R Cx cB ad cbg. Nam dicta
Vires TunE ut earUM eAeCtUS CD de HB eodem minimo tempOrC
producti: nascens rero HB aequalis est ne, et cD oltensa eA aequalis
RC XCB
CC: Quare praedicta Vires sunt ut
RCXC
CC et ne, hoc CAt, ut
RCx CB et CC, ne. Sed recta eo minime distert a recta MC, e (per
Prod