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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 438, page id 1040780814:0456
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ASTRONOMLE PAISTCE
438
AD. 
ad quadratum iptius sr Fslk, hoc CA (propter aequales EK CC MV)
ad quactatum iphus sv FsMV, _ SC eAt quamproxime aequalissr:
Duare nora eD ellad priorem eD ue quadratum ab sv’ad quadratum
descriptu ab SL, polita ve criente ipsius mv sire TK, ut in constru
ctione PrOP. XX _XXI. Sed (ex PEOD. XLII. Lib. T.) Sravitas accele.
ratrix versus Solem in loco L. est ad graritatem accoleratricem ver-
sus cundem in locoe (vel V) ut quadratum ab sc (vel 15V) ad qua-
dratum ab ST: Ft ut graritates acceleratrices versus solem in di
Cantiis diversis, ita sunt (manentibus dictis viribus) spatia eodem
quocunque tempore cadendo rersus solem percursa; de isitur nora
Deletd isitur (ad vitandam consusionem) priore eD versuss ductd,
acta ellhora vertus L qua cu au priere ut quadiatum iptius se
eD est ad priorem cD ut spatium cadendo percursum versus Solem,
ursente vi acceleratrice qua in loco L. urset, semisse temporis quo
Cometa deseribit areum inter lonsitudines r a _ r D interceptum, ad
spatium eodem tempore cadendo percursum vertus Solem, urgente
ri acceleratrice qua in loco c urset. Sed hujus analosix conte.
quentes aequantur, aequantur isitur e antecedentes; hoc cA, no-
viter ducta cD aequatur spatio a grave cadente versus Solem per
curso, semisse temporis quo Cometa arcum acD in FCliprica deseri
bit, ursente graritate acceleratrice, qua in distantia sc à Sole obtinet,
unitormiter continuatd. Sed (per PrOp. XXT.) Spatium per quod COr.
pus versus Solem decidit, semisse temporis quo COmeta arcum a VB
deleribit (consideramus enim nunc motum Ciometx tanquam in F.ClI
prica plano factum, loco Frajectoria Cometiea ejus rectisium in
plano Fcliptica intuentes) cum ursetur ab uniformiter continuata
Graritate acceleratrice versus Solem qua in locor obtinet, aquale
elt rx legmento rectae rs inter verricem r de chordam aB inter
cepto; adeoque quamproxime aequale iptius cF segmento cD in
tex punctum e Cipti r proximum) et chordam aB intercepto. Inde
Duncrum