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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 577, page id 1815201908:0634
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=634
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine
# Lines: 79 recognised, mean confidence 0.77
# 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.

bei
28
ed B.
aC 1d.
oDC
cione
LC,
tinua
nOR.
VIL
AI
ad
CM.
A(yM.
niam
recta
10
B6
Ciet
B6
u
1IIIIIII
HI X P ERBOL
Demonscrarto.
BOnatUFEX PrectA TK aquidistans
 eseincer le dslana.
A F. quonAIMCam BD, IR, CD
quam C F, TR, IFTa lunE COnCINUE, L
C DB cectangulum aequatur quadea
tOTK, quam C. BYY rectangulum;
PacOE ergOBDG, CFHI rectangu.
eRC
EperbOlam AC InEEFASYMDEOEOS F F, E B consticucam, cotringat
a B. Porci bC, AC parallcis LducacurC D aequidictans AB.
Dico rectangulo F. C B aquale ene Lectangulum EBD.
Demonstratio.
Voniam xquidictanctam AG, C B;
Lquam AB, C D, Similia Cunc crian- L
sutz AGB, CBD. qUaTC VE AC
dd CB, ita GB ad BD: CCdVE AC
2d C B; ita quoque b cA BF ad
OF. igieurve O B ad BD, ita est F B
2d F C. Vndcrectansula GB F, C, d
BDEB Xqualia Cunc. Quod Fuic de-
tonstrandum.
t eL
1
Au P R OPOSTFFO ZCI.  11011MO
11.2I
DOlica hyperbola inEer a(yMPEOTOS AC, AD ponancu insuperalym
L procis equidistantes B C, B D occurrences hyverbola in La L.
Dicorectangulum BDF ad BC. F rectangulum, cam dem ratjonem
habere, quam quadracum B, D ad B C. quadracum. ili
ii s Demonstratio.
Vaa diatnetro AB que sectioni oc
currac in C. Ponaneur ex C puncto
incersectionis linex OHI, CL aequidi
stances alymproris; erir igicur quadraro
FIC aequale rectanoulumc BDF, e
BC F rectansulum aequale quadraro lC7:
ixicur rectansulum BD P eAt ad rectan-
sulum BC Fve CHI, quadracum ad qu2-
deacum LCu, id est B D quadracum ad quadracum BC, Clo dexac demonstrandum:
ED  2unpt
id
e1O3 los henemmr2BIlLre XY IS Corollarium. H ei TaE
bit: 21I AZ N.S
Finemaniteltum est rectani BC in F divilam este, quemadmodum BD lecta
etin F. quadracum enim B C ad B, D quadratum, in duplicara cA ratione BC
linex ad lineam, B. D: rectangulum vero BCF ad BD P rectansulum racionem
haber compalicam exracioAS BCi ad BD, _ C. F ad D B. ixicux Fatio C. F ad  . ulim. il.
eodem est cumrasione B6. qd, RD. C v :um sy But 
s
Dddd 3
11
Ic
5
Aliter
 e e osra o eooaesano