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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 371, page id 1041163592:0405
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DRTNCTPTA MATEIEMAEIOA.
Luna, determinarit quod clonsatio maxima heliocentrica Sacelli- L. IDEK
tis extimi forialis a cenero Joris in medioeri joris a Sole distan- Lrerio
Eia SIE 8. 222, de diameter joris 41. Ex duratione Pclipseon
Sacellicum in umbram Poris incidentium prodie haec diameter
quali 40 atque adeo semidiameter 20. Mensuravit autem LLu-
senius clonsationem maximam heliocentricam Sacellitis a sc de-
cecti 3. 20 a centro Saturnis ex hujus clonsationis pars quarca,
nempe 50 est diameter annuli Saturni e Sole rilis ec diameter 52-
curni cA ad diametrum annuli ut 4 2d 9, ideoque lemidiameter
Saturni e Sole visi est i. Subducatur lux crracica quxe hauc
minor esse solet quam 2 vel 3: FF manebit lemidiameter Saturni
quasi o. Fx hilce autem ex Solis semidiametro mediocri 10. 6
compucum incundo prodeunt verx Solis, Toris, Sacurni ac Perrx
Cemidiameeri ad invicem uc 10000, 1077, 889 ex 104. Inde,
cum pondera aequalium corporum a ceneris Solis, foris, Sacurni
ac Terrae aequalicer distancium, sinc in Solem, Torem, Saturnum
aC Terram, ut 13 1035 29 et72 respectire, ex auctis vel dimi-
nutis distantiis pondera diminuantur vel augeantur in duplicara
ratione: pondera aequalium corporum in Solem, Torem, Sacur-
num ac Terram in dictantiis 10000, 1077, 889, ec 104 ab corum
centris, atque adeo in eorum Cupertciebus, crunt ut 10000, 835)
525, ec 410 respectire. Ouanta sine pondera corporum in super-
ticie Lunxe dicemus in sequentibus.
Corol. 2. Innotescit etiam quantitas materiae in Planetis singulis.
Nam quantitares materix in Planeris CunE ue eorum rires in equa-
libus distantiis ab eorum centris, id cAt, in Sole, Jove, Sacurno ac
PerrA SUnE UE 13 1039 ZD _C yB respectire. Si parallaxis Solis
ctacuatur major vel minor quam 10 debebit quantitas materix in
Perra augeri vel diminui in triplicata ratione.
Corol. 3. Innocescune etiam densitates Planetarum. Nam Pon-
dera corporum aequalium ec homogeneorum in Sphaeras homoze-
neas sune in superticiebus Sphaerarum ut Sphaerarum diametri, pec
PrOD. EXHIT. Lib. I. ideoque Sphaerarum hecerogenearum densi-
cates sune ut pondera illa applicata ad Sphaerarum diametros.
Franc autem rerxe Solis, joris, Sacurni ac Terrae diametri ad invi-
cem ut 10000, 2077, 889, ec 104, ec pondera in coldem ut 10000,
835, 525, _ 4 20, e propterca denlitates TuInE uE 100, 78, 59.
ec 396. Denlitas Terrx quae prodit ex hoc COmpuTO non pendct
parallari Solis, sed dererminacur per parallaxiu Lunae, e prop.
cerea