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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 263, page id 1040780814:0281
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itol
Lib. Ilc.
LHEOMETRTOA E, LEMENTA.
L05
metrum Terra; eadem nempe (per PFOP. HEVT. T ib. H.) quae eAt
inter sinum Distantix apparentis à vertice et sinum Parallaxis.
Atqui (per PFOP. XXXV.) datur ratio inter Distantiam Planetae d cen-
tro Terrae e ejusdem Distantiam à Sole ad Tempus iltud corni-
tum; e (ex superioribus) ad idem Tempus datur ratio Distantia
Planetae à Sole ad Orbita Axem majorem ejusque Fxcentricitatem
_C: Ft isitur, ex aquo _ per 2. Dat, dabitur ratio iltarum recta-
rum ad Terra Diametrum; hoc est, dabuntur omnes ilta Orbita-
rum dimetientes recta per Perrx Diametros exprecta. Cumque ex
Scholio Prop. XVII. Lib. II. Perra Diameter cognita sit in mensuris
notis et tamiliaribus, dabuntur etiam praedicta Orbitarum recta
in iisdem.
Hinc ad Tempus propositum Distantia Solis de Planetarum pri.
mariorum a Terra per Terra Semidiametros aliatre menturas no-
tas expresa innoteleunt: Nam ad dictum Tempus distantix istae
exprecta in partibus medioeris Distantix Perrx a Sole notae sunt
DeT PFOPP. XXXIV. _E XXXV, _ (per hanc) dicta medioeris Distantia
Perra à Sole in notis mensuris cognita eAt.
SFCTTOV
De Magnitudine  Densitate Solis  Pla-
netarum primariorum.
PROPOSITIO ZLVI.
Olis Planetarum primariorum Maerdea   te
Contonum est ut hoc loco, post traditam Planctarum Lhcorrat
agamus etiam de illorum Nlagnicudine  Densitate, ex quibus con-
junetim Ouantitas Materia in sinsulis pendet; praesertim cum qua
dam in eorum Notu Orbiumque dimentione hinc rectiticanda
veniant.
Sit horum aliquis aBC, cujus centrue, ue O OcutS ODIet
vantis. Junsatur recta op, per quam ductum intelligatur planum
secans Solis vel Planetae corpus Sphaericum in ejus circulo maximo
BAC. L.x O ducantur rectae hunc tangentes oA, OB, _ jungatur Pa
recta. Ansulus a0B idem est cum dicti
corporis Diametro apparenti ex o, secatur.
que hic bitariam per oe rectam. Obserre.
tur haec per methodos Astronomis Patis
notas, quo pacto in trianoulo aor noti erunt omnes anguli: nam
(PeF PrOP. XVT. LL. TIT.) a eAt rectuS, _ aoP est obserratae Diamerri
apparentis lemistis; unde innotescit ratio laterum oP _ AB: Sed
(PET PFOD. XLV.) datur ratio inter Terra Semidiametrum ex Ox PI2.
neta Distantiam; ex isitur, ex aquo, datur ratio inter Semidiame.
tros Terrae _ Planeta; ergo et hujus triplicata etiam est data,
nempe