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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 381, page id 1041163592:0415
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1
PRINCTPTA MAEEIEMALTCA.
5 L
EF propterea dico, sccundum Regulam auream, quod (i vis Cen- LIvEn
eritusa, 3 Faciat uc aleicudo aqua in crure ACc a Cuperet alEitU- FCxTIDS.
dinem agux in crure DCcq parce cencelima torius alcitudinis:
vis centritusa53 Facier uc excelsus alticudinis in crure ACc a sIE
alcicudinis in crure alEerO QCC9 parS Lantum = 29. FA igitur dia-
meter Terra secundum aequarorem ad iplius diametrum per polos
UE 220 2d 229. Ideoque cum Terrae Cemidiamecer mediocris, juxta
mensuram Cassini, sic Dedum Parisiensium 19695530, Peu milliarium
3939 (polito quod milliare sic mensura pedum 5000) Terra altior
erit ad Aquatorem quam ad Polos excestu pedum 85820, (Cu.
milliarum 176.
Si Planeta major sIE vel minor quam Terra manente ejus d’en-
licate ac tempore periodico rerolutionis diurnae, manebit pro-
porrio vis centritusx ad graritatem, ec propterea mancbie etiam
Proportio diamerri inter polos ad diamerrum sccundum xquato-
Tem. AF E mocus diurnus in ratione quacunque acceleretur. vel
recardetur, angebitur vel minuetur vis centrifusa in duplicata illa
ratione, ex propterea differentia diametrorum augebitur vel mi-
nuetur in eadem duplicata ratione quamproxime. Lc si denlitas
Planctae augeatur vel minuatur in ratione quaris, graritas cciam
in iplum cendens augebitur vel minuetur in eadem ratione, et
difterentia diamerrorum ricillum minuetur in ratione gravitatis
auctae vel augebitur in ratione gravitatis diminurae. Onde cum
Terra respectu Aixarum revolratur horis 23. 56, supiter autem
horis 9. 56, sncque temporum quadrata ut 29 ad 5, ec densitates
uc 5 adL: differentia diametrorum Toris erit ad ipsius diame-
erum minorem uF 23 X =X 229 2d1, Scu T ad 8 quamproxime. FA
isicur diameter foris ab oriente in occidentem ducta, 2d ejus dia-
metrum inter polos ut 9 ad 8 quamproxime, ec propcerea diame-
ter inter polos cA 352. Ilaec ica le habent ex hypochesi quod
uniformis sic Planetarum materia. Nam si materia densior sIc ad.
cencrum quam ad circumterentiam; diameter quae ab Oriente in
occidentem ducitur, erit adhue majOr.
Toris vero diametrum quae polis ejus interiacee minorem ense
diametro altera Cassinus dudum observavie, ec Terrae diamerrum
incer polos minorem esse diumetro altera PaTCBIE PET Ca quX
AICENEUE in PFOPOlITiOnE sEGUEntC.
P. L. .