# Leibniz Legible — https://leibnizlegible.com
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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 61, page id 1815201908:0118
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=118
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000118.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.75
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

10.
2M.
est
AC
uX
euE
at
se
4
C
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m
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153
25,
1m
n-
12.
N.
aC
er.
GF OM E TRIC A.
Alict.
FOniam D A, C A, B A PONUNEuIF PEOPOritES, C1GO Pet Pam LiilS DC
id CB eAvE C A ad B A: guare (cum aequales sinE I F, B C ex hypOcheSI) vE
A. Ouoderac demonstrandum.
CD ad F. D, A0 C A ad B A, ergo diuidendo CP ad F. D, hoc eAt, CB, VeC Bad
Corollarium.
Vod Epolcis continue proporcionalibus AB, AC, AD, SUMREUE C F, X qu2
isminori differentix B C, CrunE AB, BC, L. D I continua analogia: quod
demonatrabicur proctus oe  u propotico la Bo.
R OP OS1Y
Inecres magnicudines AB, A C, AD, in continua analogIa; pOnanEUE
ducem maxima erium A D, _ maior differentia C D, MMI d Certa
quaepiam F. D, Concinu piepONaleS.
DicoBC, CF, aequales esselincas.
NMETES PONANCUECONTINUIX AB, AC, AD, crit V C ad = CB, VED Aad C A: LL. Hau
Lgnarecan A Feclanollo DABC, aequale elt. Similicee cum B16. Sevri
PONABEHE CONCINUK AD, CD, FD, est AC ad CF, CVE AD ad CD: ergo rectan- cu Huins.
gulum idem AC D aquaEuE CtIam rectangulO AD C F. rectangula eron ADBC,
AD, C. P, incer LE XQUanCUT; vndC BC., d C. P. xqualeS (UME. quod erac demon stran du. d1. Senti.
Aliter.
Vandoquidem BONANEIE CONEInUX A B, A C, AD, CrGOPCL PMMAII HIIUS VE
LDA ad C A, SC DC ad C B. TTerum QUONIAM PONUNEuE COnCInUX AV, CV
F.D; per Pcam huiusrE AD ad CD, SC AC. ad C F; _ PetMcaHaO H AB
ad AC,lcCD adC. Sear ADda AC, HC onehdi eAC CD ad BC, ClBOCD
cAtadC E, ve C D est ad BC. xqualesisitur lune BC, C F. quod crac demonstran-
dum.
Corollarium.
IIa plane modo, siposcis continuis AB, AC, A D, etiam A D erium maxima,
DicoBC, F. D aequales eHc. Demonttracio eadem elt que proposicionis decimx.
CD maior differentta, d lerca qua Plam C L therine concinua proporrionales.
OOSIIIOZI
IS (IECL
DICOFD, CD, AD in continua quoque analogia essc.
Demon