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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 313, page id 1040780814:0331
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(115T,
EE CTEOMETRLCA LLLEMENTA.
SCFOL FOM.
Si Vis attrahens Satellitem r aliunde quam per Vim extrancam
a Sole oriundam augeatur, v. 8. l nora materix accestu ipse Pri-
marius major evadat, e inde (per PFOD. XLIX. LIb. T.) ejus attractio
in eadem ratione major; Satelles L. _ in minori Orbita revolretur
diminuto radio TL, ex ejus periodicum Tempus minuetur in ra-
tione compotita ex ratione sesquiplicata radiorum directe, e ratione
subduplicata Virium attractricium corporis rinverle; ut lupra: Si
militerque,  Primarius per ablationem materia diminuatur, ause.
bitur Satellitis Tempus periodicum. Vis enim composita vel refi
dua, qud Primarius auctus vel diminutus trahit Satellitem, eAt prae-
cise in duplicata ratione distantix inverse, quod in CasII PFOP. PFXC.
tantum fere obtinet. Idemque respectu Primarii continset, quod
de Secundario hic oltensum eAt, si Sol casu aliquo auseatur vel
diminuatur.
PROPOSITIO ZVTII
Idem positis, in Satellitis Systemate dilatato vel coarctato T iri-
 um perturbantium essectus periodici, sive Satellitis Frrores line-
ares in qualibet revolutione, sunt ut Orbitarum raciie quadrata
Temporum periodicorum conjunctim: Frrores vero ejusdem aneu-
lares, e Primarii centro spectati, sunt ut dicta quadrata Temporum
periodicorum.
Nam Vires perturbantes, Eire Trrorum productrices, AV, MN (Ca
teris santibus) sunt ut radius YE; d harum proinde eRectus (sire
FrrOreS) periodici (per COrol. PFOD. XXITT. L ib. I.)
Tunt ut Vires _ quadrata Temporum periodi.
corum conjunctim; hoc est, ut radii de quadrata
Temporum periodicorum conjunetim. PrrO-
res autem nI TUNE FrrOreS lineares, mensurati
nempe per distantias corporum a figurarum
Tunilium locis illis, ad quae corpora lempori.
bus iisdem proportionalibus absque Viribus
iltis perrenirent. It propterea Prrores anou.
lares e centro Primariir Spectati; hoc eA, an-
ouli sub quibus praedicti Frrores lineares ex
dicto centro apparent, sunt in quibustibet re-
volutionibus Satellitis L. ut quadrata Tempo.
rum rerolutionum quamproxime; alterd componentium rationum
(nempe ratione radiorum) eranescente, quid Frrores lineares ad
distantiam radiorum spectantur.
de
SCTOLIOM.
Zicet omnes in Satellitis motu Frrores angulares, e Primarii cen-
Ero spectati, mutata Satellitis periodo MUTENEUF, neMDC MOtuS
Apsidum, regresus Nodorum aliaeque tam in lonsitudine quam in
latitudine supra explicatae deriationes a Viribus extraneis Solis ori-
unda; cum tamen in una Satellitis periodo horum Prrorum qui-
dam
L ib. IV