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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 214, page id 1040780814:0232
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214
ASTRONOMLE PHESICE
Lib.
I
metrica posterior st anno interro, et tribus minimum annis In-
quisitione in Bultialai Astr. Philol. Fundamenta, (ubi altronomia
lux omnis fundamenta jecerat, e Problemata praecipua construxe
rat:) tamen ulterius non persit Pasanus, quam ad Plancta locum
in sua Orbita data ad tempus allienatum ejusque à Sole distantiam
determinandum, hoc est, ipla Attronomia principia Aabilienda;
omilla omni Altronomid comparatira, in qua, per Geometriam ex
colenda, operam tam pulchre collocarerat Celeb. W’ardus.
PROPOSTTIO VI
Dosita approximatione modo descripia pro satis accurata, (id est,
in FEypothesi Wardi,) ex data nomalia media momaliam
coaequatam  Planetae à Sole Distantiam invenire in Orbita data.
PrODONatUE AZ P Planetae Orbita elliprica circa Solem in S Tan-
quam Focum consrituta; hujus Aphelium EE a, Perihelium e,
AXis major A P: ex data Anomalia media a FF angulo invenienda
eAt Anomalia conquata, nempe angulus ASL, e Planeta in L Di
Cantia a Sole, Fc. SL; hoc eAt, hujus recta ratio ad FS vel AP.
PTOdUCaLUE FL ad B, ut SIt L. B X. Y
qualis LS; _ jungatur B5. Ft quo.
niam (per PrOP. LIT. Lib. TII. Conic.
Apollonii) FF _ L5 Simul aequantur
axi Ae, erit eB cidem ap aqualis.
Adeoque in triansulo BFS daris la-
teribus BF, FS Cum angulo intercePtO
DFS, Anomaliae mediae datae AFT.
complemento ad duos rectos aut
ad quatuor, (prout L est in primo rel
Secundo Anomalia Temicirculo,) in-
nOTCICenE anguli ESB _E FBS, SIVC
L.SB, quorum dicterentia AST CA A
nomalia coxquata quaesita. In trianoulo pOrrO P FS ab initio dan-
tur angulus L. FS eE latus FS, ec nunc inrentus cA anguluS FST,
adeoque d reliquus FL. S; invenietur ergo latus L. S in partibus data
distantia FOcorumSF; hoc est, Planeta à Sole Distantia. 9. F. F.
In quarendis angulis ESB, FBS in criangulO BFS, ex datis BF, FS
cum ansulo BFS; At (per rulgatum Prisonometria Canonem) DF
_ FS Timul ad BF dempio FS, Sieut tangens semissis angulorum
B_ FSB ad tangentem Temissis difterentia corundem. Sed PF 8
ES Timul aequantur ipsis AP _ FS Timul; e BP dempto rS aequalis
AP dempto PS, siro bis SD; e summa ansulorum B _ FSB aqua
liS externO ADZ, nempe Anomalia medix; illorum vero disteren
tia aequalis FSF Anomalia CORquata. PF isitur summa ipsarum AP
e FS Cst ad 2 es, sire illius semissis s a ad hujus semiltem es; hOC
elt, dittantia Planeta aphelios ad ejuldem distantiam perihelion, ut
tansens dimidix Anomalia media ad tangentem dimidiae Anoma
lix coaquatae: in qua analosia primi duo termini sunt constantes in
dato Plancta.
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