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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 799, page id 1815201908:0856
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=856
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.84
# 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.

N PL A N V H.
ROPOSITIO CLIIL
AbcancaB, occatioa, aguales lcicllathes: Ceneris aucemre
Letangulorum, cn delestbaur CO. Hl: ductilque parallelis
recrangula aqualla rectanouus HLL, patet ex us qua in parabola de-
monstraui punccatam E quam K esse ad parabolam. 
Dico AC. duccum in se ad F. HL duccum in scillam obcinere propotrio.
nem quae est incer superticies F C, KHI.
AF. DB Aancque C AD rectongulis equalia rectangula B AF, _C G FK
demonstratio.
VVonaM FCctanSuIA B A L, Xquaneur rectangulis D AC, CrUNE AC ad AB; ve
DB. Chocett, quod recta AC, OB lincxequales, quadrata AC aequancur rectan-
sulis F, C; AB. C orpusigicur ex ductum plani A C in sciptum aequacur corporinaco
ex F C ducto in alcicudinem AB. Similicer oltendam FH ductum in le xequari R FI
ducto in alcicudinem F C. ergo AC ductum in (c cstad FII ductum in (C, ve FC
ductum in AB ad R FT; ductum in F C; hoc est quontam alcicudines ex hypochele
lune xquales, rebales EC, F. C, R FL, KFI. Quod erac demonstrandum.
A B ad AD: _ COnverSM A C 2d F C; VE AB adD B, rectangula ergo AC,
daorooicio et.
C, contingens parallelastu L c, hon tabens teen cenc
cum rectangulo: L hanc proporrionales lK, IN, e IM, IL. Dcinde fiane
concinux AB, AC, AO, ex per O ee L, deleripra tir parabola haberis
axem LH.
Scorecrangulum AB C alcera parte longius cui inseripeus (ccirculys
1112
Dico
 e at   t se tete ate tet e te tet s tet ete   t et est et   e  ue e i e   i e t e te   e te tet e e ete t s  s te e  i  t e et e t e t   .  . 1