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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 14, page id 1815201908:0071
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=71
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.88
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

L IN F A R V X
F0. Sint AB C D linex inaequales, XC F2-
tio P ad F, eadem cum ratione CFI 2d
FTT, quae maior sic rationC AB ad C. D.
Dicoaddicionem, neque ordinacam, ne-
que reciprocam Acriposte. Addancur enim
ordinacim in ratione F ad F, linex BL,
DM. XSiticri POME, SIC A L ad C. NI, VEOTI
ad TTI. Ouoniam cA BP. adDMI, VE AI
ad CM, isitur eric quoquea ratio AB ad
CD, eadem cum BL ad DNI, hoc eAt V
ad F, vel ETT ad FTT. quod est CONTrA
suppolicum; ponicur enim ratio AB ad CD
minor racione F ad Fi. led neque reciproca
additio Continger: AAC CnIM VE F, ad F, sIC
DL ad B K, addica ad additam, d sheri
DOME, SIC AR ad CP ve GIT ad TII.
Fiacq; ve GFI adFTI, sicAB ad CM D crie
CM minor quam CD, quia racio AB ad
CD minor est ratione GFT ad FTI, id est
AB ad CM. isitur cuIm (IEVE AR ad CI
id est GFF ad FIT, siC AB ad CMI, crie
cBK ad ML, reliduum ad rcliduum ve
A B ad CM; adcoq; B R MaIOF IpLA NIL,
e mulco maior quam ID. Ouod cst con-
erahypochelm: quare nec addicio reciproca
Concinget.
Tisdem policis, neque ordinata detractio
concinget: decrahancur enim in racione F ad
F, linCR RBL D, _ Si hcri PONIC, sIC AK
ad CL, VE CTT ad FTI; Ouoniam igieur
ratio AB ad CD, ex hypoches minor cA
ratione F ad F, id est RB ad P. B, ablacX ad
ablacam, eric d racio AR ad CL, reliqua
ad retiquam, minor racione AB ad C D.
adeOGuE MUIEO MIOF ratiONCRB ad L. D,
id es CFFT ad FTT: quod estcorra suppolcum
quare decractio ordinata non concinset.
Conringet vero derractio reciproca
hoc modo. Friganeur dux paFaIIClX RNI.
L. NV, aquales iplIS AB CD; innetisque
Punctis MN, KL AaC VEF ad F, SIC MO
adNO, _ NP ad MIP, icem vE CTT
ad FII, AC RO ad LO, _EPR adRR:
CadCnER _ P incra concurlum lincarum
OP, OR, vc octendam: quarc rectx du-
cancur RO, P O: X PO quidem sCceF
lIneaS RMI, XT in S ec T. R O veroli
neam P Oin V, Q TcctASMR, LNIin Z. ec
Z ConveniantO P. RO lincxe in B. Ouo-
niam ratio AB ad C D id eA per constru-
ctionem MR ad NT., id eA N B adt MB,
minox esratione F. ad F, Ia elt Per constructionem P N ad M D, crir diuidendo,
Duin-c quoque rario NM ad MIB, l Lacione NM ad M P; ad cOquC MTP lincaeminor
110. Bum. Tuaut MB. Cocemmoe ochaitur R R linca minor quam KB: quare innatx RO.
O secabune lineas M R H L. Marctum elt: inde NY cst 2d MS, 2blata 2d ab-
latam, ve NNP ad MP, id eltF. 2dF, _ SKcst ad T L. reliqua ad religuam, veSO
d LC, id est Gi H ad HI: Cimilicer exic M Z. ad N X, ablaca ad ab laCaM. vE MC
2
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