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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 444, page id 1815201908:0501
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.82
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4
P AR A B O L A
Corollarium.
TInE sequitur AF ad F D, rationem criplicacm ejus esse rarionis, qud. eA incer
F _ FD. eA enim racio AF ad FD, compolica ex rarione AF ad FB
hoc CA duplicata B F ac L. D, e ex raciohe L a L Di hoC eA criplICatA AF ad F D.
D RODOSITIO BLALLLA
bus ordinacim demictantur linea _l, LI.
currens parabolis ABC, DL. L in B _ P. punctis; ex qui
Dicorationem LA ad IE D, quaduplicaram esse rationis C L ad GHE.
Demonstratio.
Vcta enim ea E linea F L parat.
ela GD, OCCUFTENTC ABC P2
erie igicur quactarum I. MI xqualc
quadrato FK, Inde e rectangulum
D sub FT _ K B, adeoque e M A li
nea aqualis RD. CA igicur racio IA
Abentes axes BC, E. LI. actaque PL diamerro, ducantur ordinarim rectE
MO, AF.
ctangulum ad Lectan gulum DR F.
2rie 
AbEANEABC, D E F parabolxe ad eundem axem consticucX, com
Amune lacus rectum HI. altumproqs in axe puncto quouis C, ex cd
2XCt (+C
ordinarim ducatur linea CC F, describaturq; per C parabola, habens
rabolae in L, demitratur ex L ad dia-
merrum ED, ordinacim linea LM.
sub FL ec M A, a quale est rectansu-
2d F D, H_C ad NTA, duplicaca rarionis TB al LM, sivC ad F R. Cs aUECI F2
cio IB ad FK, duplicata racionis C I ad C K, Tallo igirur L A ad K D, quadrupli-
cara estracionis cuus, sant Haber GP ad IL. Ouod tuit demonstrandum.
PR OPOSITIO CXC
a
Ncersecent Leseinvicem in I parabola duae ABC, D EF paralIeloSHa
DiCONO M rectangulum ese ad reCtanguluM PO O, VE CR A rC-
e
Demonstratio.
2x24.
uine.
E LOcA ad TRCiC N OM
Suluurea ae rectanguluDRL.
x permurando, NOM est a
rectagulum a eAt ad rectan.
Gulum CR A; scd vETO ad TK.
lic OOr rectangulum est ad
rectanoulum DKF. ioicur 
Tom rectangulum ad rectan
bulumm CRA, licOO Drectan
dectan
MO
monctrandum.
DE ve rectationluIA C K A ad rect angulum DLP. Quon uiede
Cte
t   pt pe es e e  pe t. t e u s es tat ee se et   pe  it ut ett et e te e ti te  t e t  t tet te a  et t et eti  t   ti et e tit  t  e a   e pe e  et t  se