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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 19, page id 1815201908:0076
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.87
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EOF ENYI A.
Neque clam acat, vel demi re-
ciproce porerune linCx In EaTIOBE
E ad F, verclidux vel composiex
racionem hibeane CFIad FII. 2d.
dancur enim DL, BR in ratiOnCP
adF, _ S Reri pOSTIE(IE AR ad C I,
De GHIadFTL: cricIgITUEDE AR 2d
CL, SIC AB ad C D, quare _ BR ad
DL, CA vE AB ad C D, ideoque BK
maior ipla DL: Duod es concrahy-
pochelim: ergo, dec. eodem modo
octenditur decractionem secipro-
cam heri non postc.
16 Sicratio P ad Fendem cum ra-
C
cione AB ad CD; minor aucem L
racione OTTadFTI: dico ordinatim
addi nec demi posse lineas in ratione C
E ad F; sic ve compoliex vel reli-
quae, rationem habeanc OFIadTII.
addancur enim BK, DL in ratione
E ad F, de si heri postic sic AR ad
CE, vE OHI ad FI L: cricigiturra-
eio AR ad CL, id est C FL ad HI I, maior racione BR ad C L, iil cA F, 2 F, Guare
_ratio A B ad C D amaiorrationC AK ad C R id est C HL ad HI L, uod elt conEra ~ 33. Quim
hypochesim: igicur ordinaca addicio non continget.
Eodem plane modo octendicur, ordinacam decractionem Aeri non poste:
Derrahi cumen reciproce pocerune linex in ratione P ad F, vr reliquae rationem ha-
beanE C HI ad FII. FIaE enIm DEF ad F, SIC X L. ad ML _ M O ad XO, crectis
que ex Z _ MI, Parallelis Z O, MN, quae lineis AB, CD, SnE xequales; duCaEUF
ONlinca, gua occurrec Z L linea in L, quiaOX
es ad NM, id elt A B ad C D, vE X T adMI, id
eAt F ad F; dein hacve OTT ad FTI, siCO P adN P,
eric NVP lincaminor linca NVL, quia rario OP ad
NVP, id est OFIad FII, maior ponicurratione OL
ad NL, id est Z L ad MT, id est F ad F velapius
octensum: quare iuneta PO secabir lineas OX.
NM in R _ S: CriequE SM id R X ablata 2d
ablacaM, VEM D ad XO, id CA F ad F, _ recipro-
ce OR ad NS, veOP ad N P, id est C HCad HI.
Addi vero reciproce linex non po-
cerun in racione F 2d F, _c. addan-
cur enim linCx DL BR in racionc F
adF, e sI ACrI POME, SIE AR ad C. L
ve C HInd FII. FIaEquC vE A B ad C D,
ita BM ad D L, cric BM maior quam
DL, adeoque muleo maior ipLa BR.
eAIM IDITE SIE VE A B 2d C D, SC BM
ad DL, e componendo, AM id C I
VEBMI adDL, id est AB ad CD, crie
FACIO AM ad C L MInOF FATIONC AR
ad CL, id est C HI ad FII; Ouod Aeri
non porest, cum AM recta maior (II
recta AK. quare reciproca addicio non
COnTInSCE.
E
17 Sic icerum racio F, ad s inaequalicacis, e eadem cum ratione AB ad
CD, que maior sic ratione CTT ad HII, dico ordinacim lincas in cacione F ad Fi
demi vel addinon posse, vereliquae vel composirae racionem habeine CFL ad FII.
deman.