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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1179, page id 1815201908:1236
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eY ADRATVRA CINCML
eROPOSITIO
c2C 111
IIdem poliris ducaeu amerro BO parallelE F I _ IUnGAnEUEHIR.
Dico limilicer puncta B, HI, D in eodem plano existere cum linca
monstratio.
Voniam aquidistane linee R F incer se, igitur anguli F R F inter se sunexquales
Vnde similia lunccriangula P F K incer le, et consequenter est R F ad F. F; ve
FK ad FK, sed vE D F ad F F, ICA Cx COnrUCTIONC SUnE F FF ad F FT. IGIEUF VEFK
ad F K, ica F FI ad PIli Simrilia igitur sunc eriangula K F FI. 2c proinde anguli FHIK
lunexequales. lsicur puneta B, FI. D in plano eodem existumr cum rect a B K D, hoc CA
LROPOSITIO XCIV
BLD.
BF D. Ouod oporcuic demonstrare.
Udemposicis:
Dicoparabolae seomencuns Di Dadctum in le per lineas E F piodu-
Ccrergutal Pataboam quae reducta eA ad rectilineum ei aequale.
Demonstratio.
Locopusrectilincum: sed linex  d LLB DLR Ad FR. IBIEUT F R, P. H uin
linea ducta in FII Prodel etiam rngulam parabolicam, ex quidem quae ad vn monstrat
sulam ortam ex duetu Li K in Cciplam, crationem habeat quam F IT ad F R, aC PFO - 93. huius.
inde reducta sc ad rectilincum. Scd R. F, P P, linex ductae in se producuncidem cor- cPer de
monstrat
pus quod FK linca ductx in IFI; cum linexe P FT d ostenla sine esse in codem pla - prop. 7. d
nocum IIK lincisi igicur _ P F linex duetx in F IY, huc superticies P. FD ducta cxlindro
ircul
in se lecundum lineas P. F, produciernsulam parabolicam, quereducta sr ad recti- Aver g2. 
lineum cixequale. Ouoderac demonstrandum.
93. Ariusi
Inex FK ductx in seiplas producunt arngulam parabolicam quae reducta est ad à ver ot
PR OPOSETIO XCV
Opotreat solido ex ductu plani ALD esprum, a quale solidum
exhibere quod balm habeat d alcicudinem nocam.
icparabola ABC aas acomssrece  l, dehgue aa
aequidistans F. B.
onstructio es denontali.
IX puncto B POHaEuE
BD, ordinacim ad
axem AD; ee ex codem
B puncto ducaturBF Co:
cinsens sectionem in B.
DicO AgUEA A F, B A.
in le ductam aequalem
molem producere Colido
habencibalim superficiei
AFB A, aequalem olci-
cudinem veroB C. huius
constructionis democtra-
tionem invenies libro de
de duedu plani in planum propolicione isu.
   . eu . e       e  .  u .    1.  i    e  . 1 1   1 .  1        11   1.    e    s