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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 60, page id 1041163592:0094
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60
PHILOSOPMILL NATDRALIS
De Moro methodo sive dentur duo puncta P, p, sire dux tansentes L Is
PORPORONFr, live punctum P ec tangens
T R, describendi lunt circuli duo.
Sic EI eorum interlectio com-
munis, ex umbilicis S, FY, 220 illo
dato describatur Trajectoria.
Dico factum. Nam Trajecto.
etoria delcripta (co quod FY)
= SF in FIlipAI eC F FI -54
in LIyperbola sequaTUE aXI
cransibie per punctum P, et
Per Lemma Luperius) tangce
rectam YR. EF eodem argu-
mento vel transibie eadem per
puncta duo P, p. vel tanget re-
Ctao duaS TR, Fr. G. L. F.
PROPOSTTIO XIZ PROBLEMA XI
Circa datum umbilicum Trajectoriam Parabolicam describere, quae
transibit per puncta data,  rectas positione datas contins et.
Sic S’umbilicus, P punctum ec TR cangens Trajectorix delcri-
bendae Centro P, interrallo F S describe cir-
culum FC. Ab umbilico ad cansentem demit-
ec Derpendicularem ST, et produc cam ad V,
DE HE TV aequalis sT. Fodem modo descri-
Bendus est alter circulus fe, s datur alterum
punctum p; vel inveniendum alterum punctum
2 A datur altera tangens fr; dein ducenda re-
_a TF qua tanGAE duOS circulOS FG, fe B
dantur duo puncta F, p, vel tranleat per C
Duncta V, V, S dantur duxe canoentes T R, Fr, vel
s
eanone circulum FC ex cranseae per punctum V,
St datur punctum P e eangens TR. Ad FI demitte perpendicula-
rem SF, canque biseca in K; ex aZC S R, vertice princixali R de-
scribatur Parabola. Dico factum. Nam Parabola, ob aequales
SA ec lR, SP _ FP, transibic per punctum P; ec (per Lem-
matis XIV. COrol. 3.) ob aequales ST ec TV ec angulum rectum
PFR, tanget rectam LR. Q. F. F.
a dalit.