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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 105, page id 1815201908:0162
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=162
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.77
# 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.

22
acione
am le
ma
eTun
Dcan
ceres
Mino
ACuE
Oia
pun
NY
1ad
seu
eries
64d.
O.
EEON E FR IC A.
PROPOSITIO LCIII
leas quoccumque series diuerlarum rarichum ica Coclete, ve
inc in continua analosta cuca PoPBtIOMIS.
Constructio e demonstratio.
Aciones divera snE AB ad BC, DP ad PF, G FF ad FTT. de alia dacarario Y
Fianccres magnicudines RI, MNI, OP concinue proporrionales, inratio-
ne Y ad Z. _ KL ita 2 dividatur in OT, d c. veleriem consticuacrarionis A B ad ag0. huini.
BC: X MN icd MaaIM R V, _ c. veadxequecleriem racionis DL 2d L. F: 2C
deuta uidacur limilicer OP in S _c Z, ve rationis GHI ad HII conttirune le.
en lactuhque eric quod pecebatur.
A t EIO ZCIV.
Acammagnicudinem AF, semel sectam in B, ita rurtum secare in C
ee D, vecam progrellio rarion etD a BC quata ptosteoatio
nis AD ad DB, Terminetur in F.
Consoe amonracto.
Exeriatur primo ipss AE, BE, cerria propoerionalis CF. Dicoprodressionem
AB, B C. cerminari in F. Pacec ex seprungelima nona huius. Deinde incer AB, BP,
inveniacur media D P. Pacecrurlum progressionem AD, D B cerminari in F, VEF
cundem pope. ACcUIS erso quod perebaTUE.
eRorosiiioLe
Aca magnicudine DC, e proporcione maioris inxqualicatis A ad
B, icemque aliamagnicudine C: examinare quomodo scries proercs-
honis dacxracionis AadB, Culo Pllluus temimuslic C, le habeacad da-
cam DC magnicudincm.
tru-