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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 632, page id 1815201908:0689
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=689
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 17 lines, status machine
# Lines: 17 recognised, mean confidence 0.85
# 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.

HY P E R BOL A.
PROPOSITTOLAGI.
IE AB C hyperbOlA verTex C, ex qua demissis lineis C L, C N qua
alymproris aequidistene, ponantur BD, A F aquidistantes contin-
rentiper C ductx occurrentes C: L, C. N lineis in L, N, M, O.
Dico quod BL. D rectangulum ad rectangulum AM E. Sic ve L. N li-
nea ad lineam MO.
Demonstratio.
i
18. huius. eA IC, id eAt R B Pc rectanso) aCmrectangulo KL N: dempcis isitur equa
DOnantUT A B C ByperbOIX asympTOri GK, GFL Occurrences BB, A F lincis in
P, TI. rectangulum KL P aequale est. rectangulis RB P, BL. D: Sed criam
RIP id eA L. R N, (Ob R P, N P lincas aequales) aquale eAB quAdFAEO RL, l id
libus RB P, _EquAdEaTO RT, aequalia remanene rectangula BL D, R LNI: Simili-
Tex aqualia octenduncur rectangula AMIE, FMT O: igITUT VE R L N Ad FMO re
dusenii. ctangulum, id est ve s e de HO. HC BI. D rectangulum elt ad rectansulu
AMLdaClacdeoadum.