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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 245, page id 1040780814:0263
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(ib
Plare
rieuII
Spec
A,
C
ria.
et
Lib. IIl.
CE GTEOMETRTCA LLEMENTA.
in plano Orbis planctarii recta L. N ad S N perpendicularis; juncta P. N
exit (Per Convers. PrOp. XI. F.L. XI.) eidem SN etiam perpendicularis.
In triansulo sI. N rectansulo ad e dantur SI. ex NSC; unde dabi-
tur latus L. N. In criansulo LF N rectansulo ad F. danu LatuS L. N
modo inventum et ansuluS L. NP, qui (per
Des. VI. FL. XI.) aequalis eAt Inclinationi Orbis
planctarii ad Felipticam, per PrOP. XX. in-
rentae; danturisItUr L. F. es P N. In Triansulo
POrrO L. FS rectangulo ad F. dantur latera
L. F _ L.5; ideoque datur latus SF, Distantia
Dlanetae à Sole Curiata. In triansulo F.S N
praeter rectum ad N dantur es Cx prius inventum P N; dabitur ergo
ansulus ES N, Planeta L onsitudo FTeliocentrica in FCliprica à Nodo
e computata: Sed datur Nodi Locus in Licliptica; quare ee Plancta
Locus Heliocentricus in Feliptica notus erit. Rursus, in triansulo
r5F data cA sr ab initio, e modo inventa cA SF; datur etiam an-
sulus TSF, (aequalis Cumma vel differentia datorum angulorum
TSN, F.SN, Quia tres rectae ST, SF, S N sunt in plano Rcliptica,) qui
ec Ansulus Commutationis dicitur: Lit propterea dantur reliqua,
nempe angulus T F. S Parallaxis Orbis mincupatus, e S PP Flonea-
tio Planetae à Sole; hoc e, politio rectae TP. sive Planeta LOCuS
Geocentricus in Feliptica, ec ejusdem re magnitudo. Denigue, in
triansulo TEI. rectangulo ad F. dantur latera PF. eC F L; inNO.
celcent isitur rL. Dittantia Planetae a Terra ex angulus L. Y P. P1a
neta Latitudo Gieocentrica.
S I C T IO IV
De lanetarum P. loncatione maxima à Sole, Directione,
Statione  Retrogradatione.
PROPOSITIO XXXVI.
At Clanera oncationem à Sole maximam, e dato superiore
visam, ejusque lempus determinare.
Sit SSol, TP Plancta remotioris Orbita, re PrOPOII. LuCaLuL
utcunque propioris Planeta radius rector SV, atque huic normalis
VT remotioris Orbita occurrens in T, qua
Proinde (per XVT. FI. HIT.) Orbitam circularem
ve continset in v. Interior in V a Solemaxi-
me elonsatus superiori in r ridebitur: Nam
recta ab alio quovis Orbitae er puncto (ut V) ad
 ducta minorem ansulum cum rS Compre.
hendet. In criansulo isitur rus rectansulo
ad v datur laterum ST, SV (datorum nempe
Planetarum Distantiarum a Sole) ratio; inno-
retcunt isitur reliqui anguli FoY, SxV, quorum tiic ett Planela
24.5
Llonsatio