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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 374, page id 1815201908:0431
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=431
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

D AR A BOL A.
e R OPOSLFIO XXVII
ad diamclt BD.
IsC ad AB C parabola diameerum BD ordinarim axplicata AC 
diameclo in D: cum punctum Cumacue , GuocuC I diametro BD:
A SANCUEG; Per A X C, contingenteS AD, CD, conveniencille cum
e ex B rectae ponancur BE, BL, agaeahles conrngentibus, Patabo.
le vero occurrentes in P _ F.
Dicoiunctam L. F aequidictare AC, adeoq ordinarim esse poliram
Demonstratio.
C: ProductaqueB B, F B; concingended occurrane in EIe C: cric igicur TI
est a diamcero BB, eric ee lF ab eadem in R bitariam dinila; es F. R, R F aqua.
les incerse; quia vero A C. xquidictat FF O, X quidistabune quoque F P, FC: et
F. P quoqs re TTO, a diamerro BD bislecta cAt: aequancur igicur R P, R F: ex puncta
FP inum idemq; sunc: eAtque P. communis incerlectio lincarum F. F, B F cum pa-
rabola. equidistane ipirur B P, AC, HV C. Ouod erar demonstrandum.una
acbes
EMIETAnEUT Cx A _ C, diametri AR, C L occurrentes rectis BF, BF in L _
GB parallelosrammum, _c FC bissecta a diamerro DB, aquidistane ergoTIO.
AC: X quia A D, B P quoque parallelae sunc, aequantur HIC, AM: similiter cum
XGUENEUE FY C, NC, recta AM, N C aequales sune: cA aurem AC in C bitariam
dinisa, Xquaneur ergO _c reliqua M O, ON: quaTCIVE AM ad MO, sC CN ad
NO. (Cd rE AM 2d MO sC A R ad BO; de ve CN ad NO, SC L. C ad BO,
isicuE VE AR ad BO sC CL ad BO, aequales ergo sune diameeri AR, C L.
2. pujus Quia vero FB, D Comingcous a Gulccac Porcones Malu Parabola incerce
peae, in a K _ F bitariam sunc dinisx. V Icerius ponacye per L. aquidistans AC, li-
nod F P, Occurrens parabolX in F. _ F, rectae BF in P. quiaigieur AC bissecta
loro
u e e e et ste uet et et te e ta   it e e e se se. et at lt  e  tt Ae ste   i sita a      t e tt  e   pt   1  e      t et  i