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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
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4.5
rectasA, GlaecICcta sa Polcio dabitue, hoc ct, locuo liotcla
Heliocontrus au Lenpileatu culccus, ie Connia Lonzitue
Feliocentrica. Denique, in triangulo sa a rectangulo ad a dantur
omnia lacera Cuperius nempe inventa; innotescet igitur a Sa Cometa
Latitudo FTeliocentrica, Ri ulla fuerit rario Phaenomeni LOcum ex
Sole spectatum reducendi ad Fclipeicae planum potius quam ad
aliud quodris.
Vicissum Tempus invenietur quo Cometa datum in Trajectoria
sua Locum tenet.
PROPOSLLLO XKLI
Orbis magnuS, Titque in eo Y LocuS Terra ad Lempus da
cum per PFOP. XVII. Lib.MI. InVeNtUS; jungantur TA, Fa: erit (Per
PrOP. ZVIT. Ft. XI.) planum trianguli raa ad planum Feliptica
normale. In criangulo rsa (in plano Pclipticae) dantur latera sa,
ST, illud in praec. inventum, hoc
ex Thcoria Terra, (utrumque in
partibus medioeris Distantix Tel-
luris a Sole exprectum,) ec angulus
TSa ab illis comprehentus, (est enim
utrumque positione datum;) inno-
telcent isitur latus ra e angulus
STa: Sed datur rs positione, nem.
Delocus Solis ad Tempus datum;
datur isitur pohtio rectae Ta, HOc
eA, Cometa in a locus c Terra vi-
tus ad Felipricam reductus, sire
Comcta Lonsitudo Geocentrica
guasita. Porro, in triangulo a a x prater rectum a a T dantur vina
latera aa, ra, hoc quidem modo inventum in parcibus medioeris
diltantiae Telluris à Sole, illud rero in iildem Prop. praec. inventum;
innotescit isitur ansulus a Ta quasita Cometa Latitudo c Pellure
vita lire Geocentrica; item hypochenula a Distancia Cometa a
Terra. . F. F.
Hoc modo patebit quando Cometa Motus retrogradus Tit, re
spectu ejus qui prius Fuerat, propter Telluris timulque Oculi mo
cum incerea factum, prortus ut in Planetis, cum interim Cometa
eSole spectatus in eandem semper plasam tendere videatur. Pt C
converso Phanomenon hoc Retrogresols Cometa c Terra obser-
vati demonstrat Cometas à Perra non longistime distare, sed in
Planetarum resionem descendere cum a nobis ridentur. POrro,
cum Oculus ec Cometa in divertis planis circa Solem ferantur, hic
ex illo rilus et ad Fixas relatus ex Optica lesibus circulum inter
illas
Lib. V.
ASTRONOMEE PHFSTCF.
D datum Tempus Cometae propositi Loeum Ceocentricum
quoad Loncituanem  Latituamen, e illius à Tellure
Distantiam invenire
Tisdem positis qua in Propositione pracedente, sIt POrrO BI
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