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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 448, page id 1815201908:0505
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196. hu-
3t
.1d 1.
D AR A B O L A.
PR OPOSITTOLOZCIZ.
IC ABadis parabbIa AB C. laceri recto, luri
Pellc AF, B Daqualibus, ponancur ordina
Dicojunctas BDB F. esse inter se xquales.
d id ct. 1 ad ers.
 N. 1352BFE
Demonstratio. e X crnerto 1. V
1, Et R ∞3F. IL C2Z CI
EYDec AB dCRLDAcuIT clrcutus dccurrens F D, CF
lincis in I _ R. quoniam AF, BC lince aquales
unc, _ FI, C R normales adaxem AB, rectE FL, OK.
M A C,3 BL uer se xqualessunc: est aurem quadra-
cum BD aequalea quadeacis A F, FL, FB; d BP qu2
deaeum aquale quadraris BC, GK, C A3 quadratum 1gi
cur BD aequale est quadiato BF, de B D linca xqualis
BF. Ouod erac demonstrandum.
ROPOSITIO CO. DEE cubrit
 eai
IIdem politis, ducatur ex HI cetto circuli AIB, recta HN L., patal.
12S: 
Dico BL. lincam breuissimam en Onium quxe ex B ad peripheriam
cim adaxem rectae PD, CF.
iclaF D; iungancures BL
parabolae duei postune.
quadeacis AFI, HIM, HB: e BD cuadracum aequale quadracis AF, E P, FB,
quia vero ACL, (IM, HIB scieliametri sunc, quadraca illarum minora lune quadraeis
AF, FB, F B (vE Facile ex elemene ostenditur) igicur de quadrarum B L. minus est
quadrato BB. e BD Mled onium breuissima, que ex B ad peripheriam duci
POTuIE. Duoderar demonstrandum.
Demonsratio
DOnatur quelis alia B D, _ BTAMIACMH D F, CMISHM QuadtatUI BF., aequale
RorOsItIOce
Scoluper AB C parabOle exi BD a GdaMLACECC ACLCHIBCASLCHII-
scuculus BIe Gue liccene quacungue ordinarim ad dxch PO
CIcE F C. L, delag p er D ordinarim AC, ducarur AB, occurrens L F li
neis in II.
Micocctan oL aguattest Glactalu.
6G. huiv:
EX
EXB.
Demonstratio.
Voniam axis B B aequalispo.
nicurlaceri recto, de AD OF-
dinacim applicata, rectX AD,
BD adeogue _ FTO, EB inTCE
Ce aquales (UInC, quiR VeEO F F li-
nea in C dinisa estbitariam de non
bitariam in FT, Fectangulum R LIL
ona cum cgnadraco HC, la cA
BC, equale eA quadraro F. C. sed P. C quadrarum est xgllale rectal llo dCBD.
(t  e .  s t u    tes e esi s e t   u e      1. e   e u . 1e   Et.  ,  1    1  1. 1.    . 1 1   1t.  . 1 1. (6 1. ui