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# Page: https://leibnizlegible.com/page/1815201908:0180
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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 123, page id 1815201908:0180
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=180
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000180.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

abla
qua
H: ieI.
veAB
M
id
porhelt
IMI
Caceta
Ualita
ras 
BMe.
Lia li
1DB.
AC:
IFB:
1MO.
ditri
aatd
EEOMETRKCF.
PROPOSITTO CXXTL
xer duas maonitudines itaGaaICs AB, IIdeMatur media provortio-
alis C. acetasces   mancut cca Meca  tum
ce llao Gulscu. claluor llallatuu cCula a doclelaDeCa.
Lconac prantcataelu CbCaad ACdS Qua liut LuMIPCa aIOreS
ldala quas magnirudine.
Demonsoatio.
Voniam C media estincer A _ B, habebic A ad B maiorem racionem, quam ad
C: ergo C maior elt quam Biethoclessaes A. C. Bmaiorescrune quam
ccipla ipsius B. Similicer octendam D _ F maiores esse lingulas, quam B: 2c proin-
aC A, D, C, F, B Simul sumpeas maiores esse, quam quincupla iphus B: acque HLa dC-
monttrabimus il plures temper medix reperianeur, lummam mapnicudinum, excellu.
ram B magnicudinem decerminatam, secundum quemuis numerum assignabilem.
ex quo liquet magnirudinesillas simul sumpras, Tucuras quauis dacâ quanrieare maio:
red.
RO.