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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 216, page id 1040780814:0234
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216
ASTRONOMLE PATSTCA
LIb. lll.
sua Orbita exit r punctum, ubi Fa Orbitx occurrit. Angulo autem
Anomalia mediae a FF. correspondens angulus Anomalia media.
rera AEV expedite invenitr, Cumendo angulum cujus tangens
eAt ad tangentem Anomalix medix, sicut major axis F Ilipsis ad mi-
norem; exitque hic is qui quaeritur. Nam CF tangens anguli aFF
CA ad L P tansentem ansuli L. F P. ad cundem radiu FP, ut DC (FIVO
CA) ad BC. In triangUIO POTTO VES (PTOTTUS uE PrOD. praeced. in
triansulO L. FS) datis latere FS, ansulo externo a PV e Cumma la-
terum FV Cx YS, invenitur Fsr Anomalia coaquata, e latus YS
Distantia Planeta correcta a Solc. 9. F. F
Atque haec est Wardi FErpotheseos correctio a Bulhialdo adducta,
Patis quidem felix s pro correctione approximationis ad rerum Sy-
Rema tantum habeatur, prout decec; quipee qu’a effecit ut vel tan-
dem ex Anomalia media colliceretur coaequata à priori, simulque
calculus satisfaceret observatis, quod ante eum (ex II. Mercatoris
Sententia) in FEypothesi Filliptica praestiterat nemo. At cum il.
lam pro vero et senvino Sysemate renditat Bullialdus, et illius
CausaS PhyTCaS (Cap TIT. _ IV.) Tuo more ex Cono petit, non tantum
AAtronomix sux Philolaicae F’undamenta inexplicata relinquit, sed
e quasi nulla prortus torent Physica Attronomia fundamenta
disputat.
PROPOSTTIO VITI
Fiscribere Orbitam, in qua Planetam cirea ol  err cense
Celeb. Atronomus Dominicus Castini, esus que Cum Causis LB)
sicis  Phaenomenis convenientiam e discrepantiam explicare.
Circuli a X BE diameter a B diridatur bitariam in c puncto, per
quod ducatur recta indetinita DP ad a B normalis. Dividatur rursus
a B in C, ita ut AC st ad cB Licut Planeta (cujus Orbita est deseri
benda) Distantia à Sole aphelios ad Dictantiam perihelion; et capia-
tur cx aequalis cc. FX F ad AB erisa-
tur normalis r e circulo occurrens in H.
Centro F dictantia Fr describatur cir-
culus secans indefinitam DF in D ec Y
punctis, qua crunt extrema minoris
Axis Orbitae describenda. Ad inveni-
enda reliqua ejus puncta ducatur per F
utcunque recta TFK circulo in LECK OC-
currens. Centro F dictantid TF vel RF
describatur circutus; centroque a diltan.
tid aequali alteri rectae TFK segmento,
nempe X F vel TE, alter circulus: 10.
rum circulorum intersectiones L, P, P, L. erunt ad Orbitam. Atque hoc
modo, propter binos super utroque centro circulos, quatuor Orbita
puncta eddem opera determinantur. Similiter alia atque alia illius
puncta determinabuntur, aliam atque aliam ducendo rectam per P
cramleuntem et d circulo uerinque terminatam. Ouoniam rectan
sulum