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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
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Lib. TII.
22O
ASTRONOMLA PAESICA
Telluris Positio inter Fixas invenietur. Idem Het bilecando ans
lum comprehensum inter rectas ductas ad bina loca, ubi Solis mo.
tuse Tellure apparentes, dato tempore facti, sunt inter se aquales;
hujusmodi enim puncta aequaliter distant a punetis Aphelii et Pert
helii. Ad Orbita Speciem inveniendam, adrertatur esse (per C orol.
3. Prop. XTI. Lib. L.) morum apparentem e Sole Tocum S Occupante
vilum Telluris in Aphelio a ad ciuldem motum apparentem in leri
helio e ut Seg ad 5ag. Cumque Zelluris motus e Sole apPa
rens idem sit cum Solis motu e Tellure vilo; ex hoc oblervato,
dum Tellus Aphelium e Perihelium tenet, innotescet ratio 5aG
ad 5p9 hujusque proinde subduplicata S a ad se: composite isi
cur ex diritim dabitur ratio sA F SP ad SP, _ SA, = SP ad SP; HIVC
aP ad SP e (Polito F FoCO alterO) SF ad SP, ac proinde etiam r2
tio AP ad FS datur.
Fadem ex obserrato Solis semidiametro apparente determinare
licet: Tum enim Terra eA in Aphelio cum Solis diameter appa-
rens est minima; adeoque locus Solis loco tum obserrato oppotitus
Cs Aphelii locus e Sole visus: de similiter de Perihelio. Punctum
item medium inter duo puncta, ubi sol ejusdem est diametri appa
rencis, locum octendit Aphelii vel Perihelii Terrae; quae omnia nimis
funt manitesta. Ad Fllipseos Speciem deter-
minandam, sut Dr diameter Solis in FOcos
Siti. FAyue angulus D aL ad Der angulum.
Ut SP ad SA, Ted hujus analogia dantur prio
res duo termini per oblerrationem; erso in-
notescit ratio se ad sa: unde, ut prius, eli
citur ratio quasita AP ad FS FllipseOS SpC
ciem determinans. Loco diametrorum aut
emi. diametrorum Solis apparentium, per an-
sulos aut arcus menturatarum, accuratius fu-
mentur tansentes ansulorum DA5, DPS C.
mi diametrorum apparentium, ut patet.
Porro, temporis spatium inter momenta proxime se insequentia
quibus Tellus eandem Apsidem tenebat, ex dictis in hac Propoli
tione determinanda, eA Telluris Tempus periodicum. TRud vero
turius detinietur, si momenta adhibeantur quam tieri potest inter
se dissita, et tempus intermedium diridatur per numerum revolu
tionum Terra cirea Solem interea factarum; prodibit quippe Tem
Dus unius rerolutionis Terra circa Solem.
PROPOSETTO X.
Empus Aquinoctii ueriusvis per observationes aeter
nare.
Prope Agunoctium oblcrecut (Per Frop. XVIII. L 1D. TI.) Solis
clinatio, qua s nulla sit, erit tunc ipsum P quinoctii Tempus: II
vero aliqua, exinde invenietur (per PrOP. XX. Lib. II.) Solis lOcuS
in Fcliprica. Idemque, interjecto aliquo tempore, denuo vel etiam
certio