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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 346, page id 1040780814:0364
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346
ABTRONOMEA PAESICA)
natur Sol ab s ad 5, simulque tantundem Luna, nempe ab n ad l pe1
rectam XD Parallelam e aequalemo5; junetus intellisatur drcus L.
qui erie Via quam Luna à Sole mota percur.
rit, licet ejus Via absoluta siv circuiusLB.
Ad determinandam Viam Hanc LI, dantur
EA Pacitudo puincti L in vera Luna Via dati.
et laratitudo puncti  eadem cum na Lati.
tudine puncti a in rera absolitaque Lunari
Via EB etiam dati, cum detur ejus distantia XF a dato
nempe Lunx dato tempore percurla: datur etiam a a differentia
Lonsitudinum, nempe excettus data aa supra aa vel 50; dabun
turque proinde (per Praec. Lem.) ansulus inter L.V Viam Luna 
Sole _ Lclipricam, e angulus LVa inter dictam Viam d P. atitu
dinis circulum a l comprehensus. 9. F. F.
GiOROL LARIOM.
Ouominor est NOtuS Luna a Sole, ed (exeteris paribus) ansulus
inter Folipticam e IL major cs; nam, a l eadem manente, patet
quo Ln fuerit minor angulum nLV esse majorem: FF quo pun
ctum L. CAt Nodo proxius, eo (caeteris paribus) major erit angulus
intex IE. e Felipticam; nam quo L eAt provius ad s, a F. POrtio
minima, considerata tanquam recta, majorem angulum cuim sc
comprehiendit, e isitur a fortiori VL: Sed _ ansulus Va L. Ctiam
major cA, quia al eA ubique ad sbc parallela.
SOTOLTOM.
Artifices Tabulas condunt ansulorum horum, quos Via Lunx
Sole cum Feliptica comprehendit, pro vario tum Luna à Solc
Motu horario, tum Luna à Nodo distantia, ut Luna per TeIIUriS
Ombram, Ombraere Lunaris per Felluris discum. Via prompte
e Facile determinetur. Pabulas hasce supputant ad finsula gradiis
Scrupula prima excestis Lunaris Notus supra Solarem in Fora
spatio: Sed cum in Fclipsibus praecipue inserviant, harum Tabulae
ad distantiam a Nodo tantum producuntur, in qua Luna versans in
Ombram Terra incurrere Doiest, aut Ombram suam in aliquam
Felluris partem projicere.
PROPOSETTO ZXKVII
ulae Eclipsis Lunaris dato Mense contineentis Tempus de
ternute.
Reterat ut P sK PClipticam; AP Viam Luna à Sole pet
prac. inventam pro Fclipsi Media, (si libet hanc habere, quasi ob
Fineret toto Felipsis tempore, quod tuto Patis AC; alias licebit
exactius procedere Viam hanc Luna à Sole laepius quarendo;) s
Noctum hujus proximum; De CC Ombra Telluris sectionem cir-
cularem a Coelo Tunari factam, in quam Luna deficiens incurrit,
cujus contrum sire potius polus o. Fodem polo describatur alter
circutus axe umbroso circulo exterior, ita ut distantia ac intet
horum circumterentias aequetur SemidiametrO LUNA apPaTenEI.
Circuli
L ib. IV.
on