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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 613, page id 1815201908:0670
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=670
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.75
# 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.

6
cercla
HO
DiC
men.
Mest.
lenris
a
lum
ecut.
arala
1b0.
ilta
Aare
est
6)
D ad
Onti.
H6
122
e.
6
eR O1OSIZ1O CLXI.
EF Y P E LBOL A.
Ectx AB, DC au MSMOS seccos le decullantes inseruiane tum
Lasympioris hyperbolx DP, Cu aAPALADOIX AVL, d eius concin-
centi in A, ducta denle AF per D e F; aganEUF DO; FH parallelae
alyMMpTOTO
Dicorationem F. C de Les, Mplcatam elle rarionis quam habet DO
ad FHI, sive F NL ad D N.
Demonstratio.
IScensum est r4b. Hetus sesemum LCFI triplum esse legmenci FIIDC
rationis FEL ad BC, id elt M A dd N A, Id CH HD alt MF.
isicur racio LC ad FFT, id eA A FI ad AC, Id eA FHI ad K C, criplicara est
St SECIO CLXII
DOnantur eadem quae in prxecedente: sed parabola AD F prem ha-
bcaclineam A B: ductaqe A E, demircancur FG, D HI parallela AB.
Dicorationem LCad D HI, esse duplicaram eius qua habet DHI ad F O.
Demonstratio.
A D ducacuF D F. K parallela A C. olLen-
rionis DE ad FC. Quod demonstrare oporruies
Losum eAprop. Plal. t d cpula
cam eseracionis D N ad BM, hoc eAt FCr
ad D FI. sed rario L N ae SM, eadem est
icum alione LC ad F Ci quia RC, MC
Parallelosaa Cate havet Maea-
lemi iscu Lacto L C da C, eAt criplicata
raciorns F C ad DH, acqueaded ratio
ad D El, quadeuplicata est ractos FC 2d DFI, est au
alto LO hoc eALC
ad DFI, duplicaca brationis AC ad AFI, id cA D HI ad TC; iGITUE _ FatIO DHL BEX 292
2d TC, duplicara est rationis F C ad D H; sivo rario TC ad D HI, duplieaca eAt rX L doparabola.
i
letea
Scho-