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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 343, page id 1040780814:0361
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IIC
liculle
11
08, 2
LIb. PV.
DDarONEICI Lua CA CCMo SoI d felta,  Semidiame ap
parentis Solis ex centro Lunx: e proinde, propter rationes in Schol.
PrOD. praec. allatas, in ansulo proxime aequali asgresato Semidia-
MCETOTUM L UIINATIUI CX TOTER CeNErO ViSarUMI.
PROPOSTTIO XXXV
TOm dari Menses Plenilunium futurum sit Fctipticum deter-
minare:  sura est Felipsis, ejus Speciem (hoc est, sitne
Paritalis aut Fotans, Cum aut sine Mora) définire.
Inveniatur per Frop. LXXI. Plenilunii reri dato Mense continsen-
Eis Tetpus, ad slod (per PrOP. XVIII. Lib. II.) quaratur LocuS SOlIS,
dabiturque promde punctum huic oppolitum: Sit illud o in annexis
figuris, ubi xoo retert Felipricam. Ad idem Tempus quaerantur
Loca Nodorum Luna, (quorum puncto o proximus TE 58,) et Tneli.
natio Orbita Lunx ad Felipticam. Per o ductus intollisatur L ati-
tudinis circulus or, Orbita Lunx soe occurrens in e puncto, ubi
Luna versatur tempore Plenilunii veri. In Luna Caelo circa o
centrum perpetuo versatur circulus umbrosus Per RC exprCMUS,
ex sectione Imbra Terra conica per dicti Cali portionem bali Cioni
parallelam genitus, quem ( Luna ME, vel tota vel in parte, Tubin-
tret, futura eAt Felipsis; sin aliter, nulla. Luna rero omnium pro.
34.3
_E GTEOMETRTOA ALEMENTA.
xime ad o accedit, adeoque E in Umbram immersitur omnium
maxime in Ombram immersitur, cum ejus centrum punctum L
tenet, quod arcus circuli maximi or in Viam Luna perpendicu-
laris oltendit: punctum enim L. propius ad 0 accedit quam aliud
quodris Vix Lunaris punctum. PatCL VOTO AI OL arcUS exCedit OK
de LM Semidiametros Ombrae _ Lunae Simul CUMPEaS, (uE in Fo
iph dictarum Semidiametrorum Cumma xequalis Puerit. J una WM.
beam comet Guue hec canen a suomabr au e.
Si arCuS OL minor sit aegresato Semidiametrorum mbra e
Luna, major tamen quam illarum interraltum, (ut in AS. 2.) Luna
deficiet; Defectus tamen non erit Potalis, Sed Parcialis eot Digito-
rum quot Vncia Diametri Lunaris Disei in Ombram immerguntur.
Si vero praedictus arcus or. ipsi dictarum Semidiametrorum inter-
vallo aequetur, Defectus Potalis quidem erit, at sine Mora: Ouam
primum enim Luna tota in Ombram immersitur, Lunari Disco
circulum Tmbrosum interius continsente, Luna ulterius paulu-
lum prosrecta denuo emersere catim incipiet. Ouod sI OL arCUS
minor sE quam praedictum Semidiametrorum Ombrae de Luna in-
terraltum,
T.) Luitam ad oa   ia sua Soi PTOIIOTOrI. SI OL