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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 209, page id 1040780814:0227
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Lib. III.
_E CFEOMETRLCLE L LEMEN TA.
209
ratio quadrati semidiametri ad integrum circulum; _ ex OrbiEX
specie data, dabitur ratio media distantia B5 seu ca, e etiam semi-
axisminoris Be ad excentricitatem
SC; e inde ratio triansuli BCS ad
radii quadratum; e ex ratione ar-
cus altumpti a c ad circumterentia
quadrantem aD, dabitur ratio sinu-
um eorundem, (c. DC ad OF, Q CON
sequentor etiam iptius BC ad aF; HOc
CA, Per L. Fl. VI. ratio trianguli BCS
ad cc5. In partibus erso quarum
circulus continet 360, dantur sc.
ctor acc de triangulum ccs, (cui
analosum LCS Aiguationis Pars
Physica dicitur, ficut AnguIUS SL C 
Pars Optica;) adeoque horum aggresatum aas trilineum, quod
Prop. praeced. ostensum eAt proportionale eAe trilineo ALS, _F prO.
inde Anomaliam mediam jure repralentare. Nam s OrDita FI.
liptica ABP area tota in 360 partes aequales dirila concipiatur;
illius ParS aL. S, nempe Anomalia media Planetae in L, tot ejusmodi
partes continebit, quot acs continet partes similes area circularis
aBP; adeoque eodem exprimetur nuerO. RursUS, in triangulo
cCs, data ratione laterum e0, Cs (Distantia media Planeta à Solc
ad Fxcentricitatem) et ansulo comprehenso acs, (allumpei nempe
aCCi Complemento ad duos rectos,) dabitur (per XII. Datorum) anou
luS aSc; adeoque d aSF Anomalia coxquata, nempe angulus cu-
jus tansens PP. eA ad P. C tansentem ansuli asc prius inventi in
ratione data Orbita Pemiaxis minoris cB ad semiaxem tajorem
cD. Ft cum Anomalia media et vera; per calculum inventa, ci-
dem astumpio arcui aa congruant, erunt e inter se congrux; five
altera alteri correspondebit. Ft pari modo licet alium quemris
arcum altimmere, ex congruas Anomalias (mediam sc. _ veram) inde
calculo determinare, quae proinde erune inter se correspondentes.
PROPOSEETO, II
Ita Anomalia mediâ Planetae, cujus Orbita datur, Momaliam
veram e Planetae Distantiam à Sole per calculum invenire,
 vicissim.
Nullam dari calculi methodum directam Prablema hoc solvendi
pronunciat Keplerus ad finem Part. IV. Physicae Caelestis. Ouomodo
vero methodo indirecta _, ad usus Astronomicos satis accommodatd
hujusce Problematis calculus absolri poterit, nunc ostendendum est.
In circulo ADP, Orbitam in Aphetio de Perihelis tansente, Tuman.
tur Anomalia PXCenEri arCUS aC, Vel ansuli ACC, per CingulOS Sra.
dus se excedentes. Ad horum unumquemque (per pracedentem)
inreniantur correspondentes Anomatia; media IC. _ Vera.  POH
conctitum er so, pro Planstx dibita data, Canonem Anomalix me.
dia