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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 348, page id 1040780814:0366
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ASTRONOMLK PHESICA
ib. IV
34E
nitum LP. Lx HSularum reloccs Casibus ddaplalarum inive
ctione patet tempus, quo Llinxe cenerum est in L. puncto Um
brae centro proximo, praecedere Tempus Oppositionis verx cele
branda cum Luna ad e perrenerit, in casu praesente; hoc est, cum
Luna mox superarit Nodum ascendentem, quod obtinet etiam cum
mox superarit Nodum descendentem: Sed cum Luna nondum al-
secuta cA Nodos, Tempus medix Fclipsis posterius ese Tempore
Oppositionis vera; unde constat quando Tempus inter veram OP.
potitionem mediamque Reliptin Tempori Oppotitionis addendum Ht
quando subducendum, ut conficiatur Tempus media FClip(IS.
Artitices rulso Tabulas condunt Temporis, quo L P arCUIS PerCUI
ritur, addendi aut substrahendi à Tempore Syrysia vera, ut tat
Tempus Fclipsis media aut Obscurationis maxima. Tempus hoc
varium est pro raria Notus Lunx à Sole velocitate et varia di
Stantia a Nodo. Tabulas hasce, ut prius illas de quibus Schol. PrOP.
ZXXVT, ad Sngulos gradus Terminorum Fclipticorum producunt.
PROPOSTTIO XZZVIII.
indeque Durationem lam interrae Eclipsis quam totalium J’ene
brarum definire.
deticiens versus Nodum descendentem versere vonatur, patet L.
cliptin incipere cum centrum Luna est in a, Luna limbo Umbra
limibum ad c (per Prop. IV. Lib. H. Theod.) continsente. In triansulo
isitur aT. 0 rectansulo ad L. dantur praeter rectum hypothenula 01.
Cumma nempe Semidiametrorum Ombrae _ Luna, ec or. distantia
COMPCtENtCM, UE in PFOP. XXXT; unde per analosiam invenie
tur tempus requisitum ut Luna à Sole moreatur per areum Cos
Fmpus Initii ex Finis Fclipsis Lunae dato Mense contingen
tis, item Immersionis totalis Lunae in Vmbram determinare
luceh politis quae in praecedente, nis quod in schemate I. Lund
nietur isitur arcus AL, adeoque Lempus requilitum ut L una lc
(exceCTu mOTUS IUI LuPTa SSLMIH) percurrat; hoc est, Semidura
u ariau nciu colasis Immelsens Luna in Vn
bram
minima centri DmBra a Centro LUnX PFOP. XEXV. inventa; inre
tio incesta LcliplS. Sed exprac. Houn CA Tempusmedia R Clip(IS;
innotescent isitur ejus M  PTIS.
8t
de
V