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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 199, page id 1041163592:0233
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1II
PRINOIDLA MATTIEMAEIEA.
299
qua Sphaerois trahie corpus P erit ad rim qua Sphaera, diametro AB LIDEK
deseripea, trahie idem corpus, yt SX C S9 = PSZRMRR enimvs.
2c
AS cub
+d9 + Cdg = Ad9
3+ o quad Ec eodem compurandi functamento invenire licet
rires seomentorum Sphaeroidis.
Corob. 3. Ouod E corpusculum inera Sphaeroidem, in data qua-
vis ejusdem diametro, collocetur; actractio erit ut ipsius distantia a
centro. Id quod Facilius colligetur hoc argumento. Sit ACOL
Sphaerois accratiens, s centrum ejus e P corpus attractum. Per
corpus illud F aoantur tum Cemidiameter SF A, cum rectae dux
quaeris D F, FC Sphaeroidi hinc inde occurrences in D eE F, F
_ G: Sintque FCM, TTL. N superticies Sphaeroidum duarum in-
teriorum, exteriori similium ec concentricarum, quarum prior crant-
CaC per COrpuS P et seceF rectas D F. e LC in B et C, polteriOr
secet caIdem rectas in II, I et K, L.
omnesazem communem, Si crunt rect-
arum parces hinc inde intercepte D 
et BF, F P _E CCY, D HT_E IF, FR
ec L. C sibi muruo aequales; propterea
quod rectae D F, Y B d FIT bilccan-
tur in eodem puncto, ut ee recte LCr.
PC _ RL. Concipe jam D P F
E P G delignare Conos oppolitOS, an-
sulis verricalibus D P F, F P C infi
nice parvis descriptos, ec lineas etiam
Hlabeanc aurem Sphaeroides
DFI, F. I intinice parras ese; ex Conorum particulx Sphaeroidum
superticiebus absciNa D FYR F, GL PF, ob aequalicatem linearum
DFI, P P, erunc ad invicem uc quadrata distantiarum suarum a
corpusculo P, ec propterea corpusculum illud aequalicer crahene.
Ec Pari ratione, si Superticiebus Sphaerondum innumerarum cimilium
concentricarum ex axem communem habencium diridaneur spacia
DP F, P GCB in particulas, hx omnes uerinque equaliter era
henE COrDUS P in ParteS contrariaS. A. quales isitur lune vires
Coni D P S ex seementi Conici L.CFC. B, ex per contrarietatem le
mutuo destruune. LiEpar est ratio virium materia omnis extra Splxe
roidem intimam PCB M. Trahitur igitur corpus P a Sola SphX
roide intima D C B M, ec proprerea (per C Orol. 3. PFOP. LXXII). aC.
tractio ejus est ad vim, qua corpus A crahicur a Sphaeroide tota
46OD, ve distancia P S ad dictantiam AS. 8. L. D.
L ll