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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 235, page id 1040780814:0253
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PrOP.
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PIaHC.
1
PrOt
Lib. I1et
AGEOMEERTOA ALEMENTA.
non contingat Planetam in ipso Nodo, vel in ipsa Oppositiono cum
Sole obterrare, (quod plerumque HC;) cum iltud momentum Ox ob.
serrationibus ante ec post factis determinatur.
Si Plancta Periodus censeatur Temporis spatium, quo Planetae
Locus Centricus idem est rursus in Spatio Mundano sire inter F’ixas
qui prius fuerat: licet accurate loguiendo talis nulla detur, posito
Nodos moreri; hoc cA, ipta Orbium plana mutari; tamen lihaec
diverta fuerit a Periodo Tuperius detinita, porerit ea detiniri (secun.
dum Lonsitudinem considerata) ope obserrationum per PTOP. PTaC.
Factarum, quando Planeta LOcus Centricus eA prope caldem L’IxaS.
PROPOSTTIO XXIV.
Onedum Qis majoris Orbitae cujusvis Planetae prima-
TTactenus plactorum Orbium planctariorum situm ad se mutuo
detinirimus: ad ipsas nunc Orbitas in planis detinitis describen-
das accedimus. Quod quidem variis modis Faciemus, ut hic aut
ille usurpetur pro obserrationum commoditate, e alter alterum cor-
rectiorem reddat; e ut Orbitx per omnes aur plurimos modos in
unum collimantes determinata accuratiores haDeantur. AC pri-
mo, quomodo illarum Axes majores detiniantur, oltendemus. Cid.
piendus est Orbita cujusris Planetae primarii Axis major ad Arem
inajorem Orbita Terra, in Sublesquiplicata ratione periodici
Temporis propositi Planeta (per ProP. Praec. inventi) ad Tempus
periodicum Telluris circa Solem per Prop. Xrrr. determinatum: Sic
enim fient Cubi majorum Axium Orbitarum, Planeta _ Terra,
ut Ouadrata Temporum periodicorum Corporum iltorum circa So-
lem, quod demonstratum cA (PrOp. XL. Lib. T.) obtinere in corpo.
ribus circa idem centrum revoluris, e agitatis Vi Centripeta, qua
CA quadrato distantia ab ilto centro reciproce proportionalis: hanc
rero esse conditionem Planetarum primariorum circa Solem rerol.
rentium octensum CAt PFOP. XL. II. L ID. I.
EROPOSTTIO XXV
s dibus Locis Centricis Planetae es Tempore periodico
ejus Orbitam describere,  Temporis momentum quo Pla
ata deram deabat invenire.
L.C LESCO GO PFOP. XIV. ex datis tribus Telluris LociS eX
Sole vilis (hoc est, Felluris Poeis Contricis) ex Tempore perio-
dico, Orbitx Telluris Species ex Positio linex Apsidum determina-
tur, simile ex iisdem datis in Planeta proposito tiet, e Orbita Sic
deseripta per methodum Prop. XV. indicatam corrisetur. let sicut
Telluris Orbita descripta est in plano Fcliptica PriuS (PFOP. XIX.
Lib. Y.) determinato, ita planum Orbis Planeta propositi, in quo
describenda eA ejus Orbita, determinatum est per PFOP. XIX. _ XX.
POrrO ex Temporibus periodicis Telluris e Planeta invenitur
Pet PrOP. PrXC) ratio majorum Arium Orbitarum corundem: ex
aAumpta
5
rii invenire.