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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 81, page id 1040780814:0099
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riato sire Hemine speciei Solaris,) more illuminationis decrelcat
crescente distantid à fonte sire Sole, (hoc eR, in ratione duplicata
distantiae,) _ vires suas secundum uinam dimentionem (nempe in
longum) cantum exerat; Potentia lxc rectoria in hoc eflectu produ.
cendo (Planetam nempe circumducendo) minuetur in simpla tantum
ratione distantia a Sole aucta: Cumque (ex rationibus archetrpicis)
vonat moles corporum Planctariorum eandem habere rationem
quam habent illorum distantix à Sole; potentia solis rectoria aequa-
les rires in unumquem que Planetam circumducendum impendet:
nempe tanto majores ob majorem Planeta molem sire masnitudi-
nem, in quam species motoria incurrit, quanto imbecillior cst vir-
tus motoria in ilta distantia, ex in eadem ratione; distantix nimi
rum a Sol0. RurSuS, concinnitate Geometrica adduetus, statuit
quantitatem materia in Planetis inricem comparatis esse in subdu.
Plicata ratione molis sire magnitudinis; (atque ita densitas erit in
eadem Cubduplicata magnitudinis ratione inversa,) hoc CA, ut su-
Perius dictum, in (ubduplicata ratione distantia à Solc. Cium ergo
tempus periodicum in Planeta à Sole remotiore majus sit quam in
viciniore, propter majus iter, (id est, majorem Orbitam,) ec etiam pro.
pter Mlasoscit ateria copiam transportandam, (Caetera vero xqua-
Ie, allia aquales rires motorias in illos impentas esse supra est osten-
sunt,) e icer mlajus sit in racione distantia a Sole, ee copia materia
etiam major in suldem diltantix ratione subduplicata; ob utramque
sittul causam, motioris Planeta majus exit tempus periodicum in
ratione exhisce composita: Sed ratio composita ex simpla e subdu-
plicata est ratio selquialtera aut sesquiplicata: Ouare remotioris
Fdheta majus erit tempus periodicum quam vicinioris, in ratione
Lesguiplicata diltantiarun a Sole; hoc est, Ouadrata temporum peri-
odicorum sunt ut Cubi distantiarum à Sole. Oux de secundariis
CCd prumarium rotatis similiter intellisenda Funt.
eROPOSTTIO LXVIIL
ausas, cur Louesarum Orbita Fxcentricae sunt, a Kextere
Eil
in
Cum Plareca guiris sc corpus Solis corpori cognatum, cujus pars
alteTa (MTagnetIS MOTC) Soli est amica, altera inimica; converto
Solis corpore, conrertitur simul Virtus etiam illa Solis, qud Planetam
eranie rel repellit, pront pars ejus amica vel inimica Soli obvertitur;
quemadmodum Magnete converto, vis tractoria vel repellens in
plasas mundi alias atque alias FranSSCREUT. Cumque Sol illa virtuto
sui corporis arripuerit Planetam, seu trahens illum, seu repellens,
scu dubius inter utrumque, secum etiam circumducit illum; tra-
hendo quippe e repellendo retinet, retinendo circumdueit. F
Masnecibus quidem nostris quilibet duas habet plagas dirersae vir.
cutis, quarum und Magnes masnetem alterum secundum datam
plasami actrahit; alterd rero eundem repellit. In caelo res paulo
alitex
allatas explicare.