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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 869, page id 1815201908:0926
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.86
# 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.

1
111I
GEOME FRICF. 20
869)
era hucrigue hdchelunci alliohandis denominacoribus racionum, lLa
minatoribus rationum racionaMIAMI, GUIZ CXIIEUNCINEeF TerminOS, qui A-
richmerice exprimi polsune, qui ramen vlcerius materiam hanc prosequi
abstinuerune: neque lane immeriro. quis enim nonhaereac, (i ab eo postu-
lecur, denominatorerationis cuiuluis, scilicet quae incex dacas quaricicates
A e B consistic, extri-
beri? nam iure merire
relxonsi loco subiun-
vet, racionis denomi
natorem non cadere
Tub cognicionem, nisI
secunda rario, verbi
Gratia C ad D, adFer2
EuE, cum qua prima A
ad B, conterri auCar,
ve vere inquiri post
qualis racio exlursaE
inter denominatores
rationum AB X CD
ac proinde _ InCeF F2
tiones iplas datas AB
e C D, quo Facto ap-
parebie non recte po-
Cularum a, calive
ridenomatotemlationis la du. Ben alalio hal acccacore
tionunt AadB, & C ad cam a onus quat LLL. Qua-
tistic porcteno anatem , Guaiu L. Vndc merito calis qualilo
quemuis Geometram percellerenatâ est. Conabimur icaque praelenei li-
bro aliquid lucis adEerre, pro renuitare nostra, huic materia; in qua li quid
Forralle Lector adhuc desiderer, dienabicur meminisse nullas sciencias d
primo inventore pertecte tradicas fuisse.
Neramen difticulcares iam propolicas in soluras praeteream, respondeo
verum esse, Cirario, que in numeris exprimi nequeac, lolicarie lumacui, de
nominatorem eius exhiberi Geomerrice non posse. Ouod s binae vel
plures tuerine daex rationes, assignari porerunt iuxta senlum definitionis
noltrae lingularum denominacores, qui nimirum demonttrene qualesin.
cer rationes iplas proporrio incercedar. Acquehoc non rancum a duabus
cereis lincis praectabirur, se d a quibuscunque aliis, que prioribus propor-
35555
tionales
Ocometrixe scienciam plane spectare. Difficulcaseamien quam Géome.
eoscerruit, veneminem hucrlque reperire poruerim, quihuius mentio
nem faceree; nonnullos, eolquepaucosreperies, qui cractarine de deno-
C ad D, perhibeatur esse ve F ad F, ita ve denominatorrationis Aad B,
(IcF, ee denominacorractons au l, ligus procucat ans ceu-
nisrationem C ad II, Mmmmaco L at L, cum acnoaiotes la
re postulanti sibi exhiberi denominatorem rationis AB, non minus la
 p s ut  us ste tt te a pu st   eputi i  i pi. i e    e  tus e pi u   te  e    a  t pt e       p.