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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 104, page id 1040780814:0122
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104.
Vorticis harmontee CuCulantem; quia tamen in Planeta lic Cil
ducto, es curram quamris decribente, agnoscit conatum excusto.
rium, quo Aeret ut Planeta in recta tansente Curram moveretur
nIAL COCTCCREtuE; idem Facit ac H Planetam aequabiliter in Recta
moveri Ratuisset nisi coerceretur: Nam hi duo motus simul istud
efficiunt; id ek, idem ac si nulla externa Vi agitatus in spatiis liberis
feratur. In utroque enim casu lincam Rectam motu aequabili de-
seribet: Nam mobilo lineam rectam aquabili motu describens il.
lam ita percurrit (per PrOP. T. FlCm. 6.) ut area per radios ad quod.
ris datum punctum ductos abscissa sint temporibus proportionales.
Cum ergo circulatio harmonica et conatus excultorius simul cadem
praectent atque motus aequabilis in recta, fieri non potuit quin inve
nirec lesem Graritatis eandem cum prius inventa; nempe qua
Planetam ab eadem tansente recta, quam eodem modo percurreret,
ad eandem Sectionem coni detrudat versus Solem eodem modo
Dolitum.
SECTTO XI
De aliis Mundi Sistematibus,  Viribus ad illa con-
servanda necessariis.
Factenus retus Syctema Nundi Fhilolaicum explieuimus, osten-
dendo quanam Phanomena in illo continsant, quodque haec cum
obserratis congruant. Fuse etiam actum est de Directione et L egc
Virium, quibus Systema Solare in ilto ctatu continetur, quibusque
modis istud fieri senserint Philosophi hujus ANertores. Reliquum
eA ut paucis expediamus, quem Ordinem, quemque Mocum Cor.
poribus hujus Systematis tribuerine alii Philosophi, quae dogmata
hodie ANertorum fuorum Systemata appellantur; de simul indice.
mus Directionem e Lesem Virium, quibus Systemata icta sublistere
POKInE.
PROPOSTTIO LXXIX
Ondi systema Semi tychonicum describere.
Dogmatis hujus ANertores satuunt Tellurem loco immotam in
centro Sphaera, in cujus superticie a B CD Firas collocatas volunt:
Tellurem interim super axem suum ab oriente in occidentem motu
diurno rotari concedunt. Porro, in hoc SpMemate Sol circa Pel.
lurem movetur spatio annuo ad distantiam aequalem illi, ad quam
Fellus circa Solem in Systemate Philolaico: e cirea Solem, cer
centrum, Planetx quinque sc. Mercurius, Venus, Mars, Supiter eSa-
curnus rerolruntur rersus eandem plasam, et ad caldem distantias,
quas in illo. Praeterea, circa Terram Luna, _ circa Jovem e
dacurnum sui revolruntur Batellites, iiidem periodis quibus lupra
est dictum ad PrOP. XV.
Hic
ASFRONOMLE PATSICA