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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 48, page id 1041163592:0082
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PTTILOSODIILA NATORALIS
SF CTIO
TTI
Demotu Corporum in Conicis Sectionibus excentricis.
PROEOSITIOZI. PROBLEMA VI.
Revolvatur corpus in Ellipsi: requiritur L ex vis centripetae tenden-
tis ad umbilicum Fllipseos.
FAo EllipleoS umbilicus S. ABaTUE S F sCcanS Fllip(COS
cum diamerrum DK in F, cum ordinatim applicatam qu in
a ec compleatur parallelogrammum _ x P R. PaCCE F. P aequa
lem esse Cemiaxi ma-
jori AC, co quod
acta ab altero Fllix.
seos umbilico II li-
nea IYI ipAI F C P2-
rallelas (ob aequales
CS, CHI) aequentur
FS, F. T adeout F.
Temisumma sIC ip(a-
rum FS, F P id cA
0b parallelas FYI,
F R ec angulos aequa
les IFR, ATFZ
iplarum F 5, F II,
duae cojunctim azem
tocum 2 AC adx
quanc. Ad SF de-
mictatur perpendicularis OY, e Fllipleos latere recto principali
(Teu 2BC quad.
AC
dicto L Crit L X Q R ad L X F V ut Q R ad
P V, id CA ut P F. ICu AC ad F C: _E L. X F V ad C V F ut F. 24
GV; _ CV F ad 9V quad. UE P C quad. ad C. D quad; et (per C orol.
2L CM. VIT.) Q2 quad. 2d Qx quad, punctis  e F cocuncibus,
cAt ratio aequalitatis; ec  x quad. Teu 2V quad. CA ad Q Y quad.
UE F. P quad. ad F F quad, id cHuEC. Aqnad. ad P F quad. live (per
LCM ZIT.) uEC D quad. 2d CB guad. F. F conjunctis his omnibusratio-
nibuS, L X QR AE ad QZ guad. UE AC XT. ZP Cg. XC D 9. CCu2CB9:
ZPCg. XC. Dg. ad PCXG VXC D q. XCBg. SIVC uE 2P C ad C V.
Scd,
DE MorD
EORPOROM