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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 375, page id 1040780814:0393
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aL CTEOMETRLCA E LEMENTA.
375
Corporum Notu revera contingentes. Ft ex citiore e seriore hujur
modi PHaenomends apparentia, ad Terra in Orbe annuo Notum
compatata, viciu constat Lucis Motus succesirus, ejusque velo.
citas hinc ex Obuelrationibus collisitur.
S F C F IO
X
De Motu Sadelitum circa propria centra respective.
PROPOSTTIO LVE.
Onae circa Tellurem delatae Motum circa proprium centrum
 describere.
In exemplum Notus Satellitum circa propria centra adducemus
Lunam nostram, cujus Motui aliorum Planetarum Satellitum MOtUS
analosos esse aequum est credere; nam hosce in adeo immensa di-
stantia positos minutim oblerrare non datur. LunX NOtS per
omnia similis est Motui Terra circa proprium centrum interca dum
hac circa Solem detertur, praeterquam in Axis inclinatione de revo-
lutionis Periodo. Luna enim circa Terram mota etiam movetur
circa Puum Axem: Axis hic es sibi ubique parallelus, ideoque non
ad planum Orbis Lunaris normalis, (hoc enim propter Solis per-
curbantis actionem perpetuo mutatur,) sed ad illud inclinatus, ec si.
cum ad immutatum Feliprica planum fere rectum obtinens. L una
Motus circa hunc Axem proprium (sicut d Terra circa suum re-
liguorumque Primariorum circa (uOS, ut PFOP. XXX. L ib. J. Osten-
sum eAt) uniformis _ xquabilis cst, eodem tenore perpetuo con-
Aans; ejusque Periodus eadem est cum Mense periodico, contra
quam in Terra reliquisque Primariis circa Solem delatis obtinet,
quorum quiris plures circa Arem rerolutiones perticit, dum Or-
bitam Cuam semel perageat.
PROPOSETIO LVTI.
Tusdem Mericiani Funaris (sive circuli per Arem conversionis
Lunae) planum productum per Orbitae Fllipticae (quam circa
Terram describit) umibilicum à Perrae centro diversum perpetuo
transit quamproxime.
Sit ABD C FIlipsis, cujus peripheriam Luna circa Terram mota de
seribit: In hujus Fillipsis foco altero r Tellus locatur, ad quem
ductus radius (quem alibi supra Vectorem diximus) areas F Ilipticas
temporibus quibus describuntur proportionales describit. It per
PrOP. V. Lib. HI. duetis a duobus quibulris in EIlipsi punctis ad al.
terum FIlipsis Focum F (a centro Terra Y diversum) rectis AF, BF,
eAt quamproxime ansulus AFB ad quatuOr reCtOS SICuF Tempus
quo arCuS AB a Luna percurritur ad inteorum Tempus Luna pe.
riodicum. Si am reterat Meridiani Lunaris planum, quod (L una
centro ubiris ex. er. in a existente) productum per F transit; dico
idem planum pariter productum per e trantire, in quocunque Or
bita
Lib. IV