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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 809, page id 1815201908:0866
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=866
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

111
IN PL A NV H.
Demonstratio.
309
VCaNEUE PF, EC, _ infnIEX L MNOOP, patallela AB. Ouoniam IP. K
parabola est, rectangula P L M aqualia sunca quactatis P 9: quia veloL. C,
267. pat ab.
b Per ete
CG, ItCM F A, F A concingences aequales lunc, quadraris L O aequancur b quadca- menca.
ea F. T, id estrectansula OL N; isieur e OL. N rectangula, aequalia lunt rectan-
Sulis PLM. quarC LM ductum C in L P sivc in alcicudinem B FI XQUaEUE PPY C46. huius.
ducto in L.O. Ouoderar demonstrandum.
e
e
PR OP OSL, FHOCLXAVI. C 
SEO Cuper ABC D rectanguli lacerE AD vEAAIACBECKAPCS
micirculus AF. B, cuius ceneru M, ex quo recta crig atur MIO LKN
aequidistans laceri AB, describatur aurem parabola quxcunque A G D
Occurrens MN linec in O puneto, quod eiuldem verrex lc, tancdeinde
ETES prOPOrtiOnaleS NMI, H M, L M;
Dico F HIsemicirculum in se ductum ad CII parabolam ductam in
alticudinem AB eam habere rationem quam haber L M lined 2d li-
RCaM ONI.
uit Demonralo.
DEscribatuE Per A, T, D puneta parabola
habens apicem in L. CriF iBIEUE TTP dp2-
rabola ducta in alcicudinem AB, aequalis
FTT semicirculo in se ducto: sed PHI du-
ctum in alcirudinem AB adC II in candem
ductum alcicudinem, elt ve P A parabola ad
varabolam CFL, ebalis ad balim; igieur et
Hi H ductum in sc ad C HT ductum in aleitu-
dinem A B CA P EI; parabola ad parabolam
1 e
H ZE TC _V TE XE ZVI
EFI; quia verO PFI, C: FIparaboIX communem habenelubcenlarri R D, illam incee
SE LOEEIUNEME EaTIONCM, quam E L NT ad ONT: igitUE _ F FT Cemicirculus ductuS FCorOII
in sc ad C H parabolam ductam in alcicudinem AB eAt ve L M linea ad lineam parab.
OM.
it
1E.iLA cta.
rs tes CA et
 _ E +F X 4 
a 4s btins.
Ej2. Buler
E Kkk L 3
cimi
tu t  et pi    t  stte e s e sti  tit ette e i ee  t ttia t st  s e  te te t   e e a  eit e s st  A te te e  tt  s e pti