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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 659, page id 1815201908:0716
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=716
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.73
# 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.

DE
e liu
IE, N
p. tran
ectat
quali
(XH
IE,igI
dti
AIe.
Eane,
PR
ca1
ENX P E R B OL A.
3
quadeatum FP ad FF, quadearum verectangulum = A F B, ad A PB rectangulum, a 4. D
hoc est R FTO ad R FTO: igitur CFLK rectangulum est aCCCZ NLLL, ellixse
ve rectangulum R FIO ad R HTO rectangulum. ergo C, l  s.
Vbecpropolitionem pracetencem nonnitilalicer demonstrare.
boppolica habences ceuerum D. Ouod Fuir demonctrandum.
LROFOSAIIO COXLIV.
Demonstralio.
sinc oppolicae lectiones, quarum cencun en  Peel. LuoaemomLa. c EX con
dum.
CTcitaque ellipus ABC
DaXISMaIOE AB, minor D C: cui parallela
DONANTUE F HI; d rectis D P AanC aqualeSF,
FC, de L FI. Dico GC, TI eNe oppolitas se
ctiones. sealum cenerum B: BOnANEUE LIFL,
T C axi Patallelx; eric icaquo quadrarum DB.
aequale quadraris F F; E D, iricur eriam qua
deacum FC ijdem a guaot. aotact
communi quadraco E F, remanebic rectanou-
Ium GFI, aequale si Lquacao. uceten
FD quadracum ad FD quadracum, hoc est
quadralum C al  lacilat
ica est
rectangulum O F Lad OF Prectarigulum est : B. rC
LGrers E A eet bOMP
aurem e TIDF rectangulum ad EI
ctangulum id Cs E LLK ad PATKS ve quadratum F D ad YD, quadracum SVOFIN
ad TINI quadracut isitur ex CTILrectangulum reliquum ad iroctangulum, CTTIL
CH, VE QuAdEAEI F D 2d F D quadracum 5 (nam G R P vectangulum XQULaCUE re
ctangulis GTII, _ HIELLI) igicur ve rectangulum CTI ad OMI, ita FD
quadeacum adquadeacum F D, Id eA FIM ad HIN quadracum, quare GC; TI
COXFI V. SIM muS euimil..
i
1112
b. PR OFOSEFIO
edtqul rit
i C. T E eer istnt estBr
erire esOu
3111
rerestii
103.
113403 310g.. I P H3 s eleistm
hacur AB oxismajor ellipseos, cuus cenrum C: allumpro verc
L puncto quodam D in arc AB, quodincer cenerum C. d Panccuto-
ci Consticuru (ic, ducantur ex eo recta, D F. ex punctis quoque F F. po-
acu f. C Ordinarim ad axeim AB. Man alCCLEGuaICS1, CLL, CL
acopuncta HH, I l eHe ad hyperbolas oppoMras.
Demon-
t  p a se  e setestu i da sette  e sat e stte ut at ett  t t u     et    et    t a  ti u                i