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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 328, page id 1040780814:0346
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32
ABERONOMLA PAYSTCA
lium pro una tantum Orbita forma inserrit; ideo pro Fxcentrici
tate maxima unam, aliamque pro minima condunt, e Parallaxin
Luux horixontalem pro dato tempore altumunt in eadem ratione
mediam inter Parallares maxima e minima congruas, qua LXCen
tricitas dato ilti tempori congrua media est inter Fxcentricitatem
maximam a minimam.
Parallaris Lunx horizontalis sic inventa rectificanda est per A.
quationem quandam ex alia Fabula desumendam, cujus hoc el
Fundamentum. F. X PFOP. I. Constat Lunam (exteris paribuS) ION
sius a Terra distare in Ouadraturis quam in Syzygiis. Proportio
nem inter distantias hasce Lunx à Terra, ex proportione Virium
Solis qui efectum hunc produCUnE, ODC PFODP. XX _E XXV. inVe
nire licet. Zabula isitur ad aequandam Lunae Parallarin constat
ex particulis suberahendis a Parallari quae in Syzygiis obtinet,
prout Luna ad Ouadraturam proxius accedit, ubi (eateris paribus)
Parallaxis est minima, quia Luna maxime à lerra distat: Ai quatio
isitur haec Menstrua est, a Syzysiis Solis et Lunx pendens.
Sed e Aquatione Annud afficitur hacce Luna Parallaris; mi
nor quippe est cum Terra est in Perihelio, major cum in Aphetio,
(caeteris paribus,) quia totum Syctema Lunare in hoc casu contrati
cur, in illo dilatatur per PFOP. XVII. AE quatio hac ab Anomalia
Terra media pendet, et opc Prop. XVII. item XX C xXV. construitur.
PROPOSTTTO ZAVTTI.
Ddatum Tempus Lunae Locum, e data in Telture Babitatiene
visum, ope Tabularum supra descriptarum determinare.
Tempus in habitatione data numeratum reduCatUY (peF PrOP.
ZXXIT. LIb. II.) ad Tempus numeratum sub Meridiano L oci cui Ta
bula accommodantur; ad quod (per Prop. XVII. L ib. IIT.) aequatum, in
veniatur Solis LOCuS.
Ad Fpocham in Tabula notatam, datum Tempus praecedentem,
notentur Cocamedia Luna, Aposxi Lunaris Nodique ascendentis,
e collisendo horum trium Notus medios factos ab F pocha ista ad
Tempus datum, addantur primi duo ad praedicta Luna _ APOSXI
Loca, ut trant corundem Loca media ad Tempus datum; motus vero
Nodi interea factus Cubtrahatur à Loco radicali (quoniam moretur
in antecedentia) ut trat ejus Locus medius; Locusque medius Lunae
corrigatur per Aiquationem iltam à Terra Anomalia media pen
dentem, de qua 5. 3. PrOD. XXVI.
Porro, Locus Apoexi medius corrisatur tribus Rquationibus, de
quibus 5. 4. dicta PrOp. XXVI. Dato enim Solis Locoe APOEXi LOCO
PrODC vero, datur Aspectus Aposxi Lunaris cum Sole, indeque
A quatio hinc pendens. Similiter, quia tam Solis LOcuS rerUS
quam Luna L ocus prope rerus innotescunt, innotescit de Luna ac
Solem aspectus, indeque Apoexi quatio Nenstrua inde peri
dens. Et datae Terra Anomalia modia (prius ad Solis Locum de
terminandum neceltaria) consrua invenietur, in tertia APOExi a
quandi
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