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# Page: https://leibnizlegible.com/page/1815201908:0388
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0388?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 331, page id 1815201908:0388
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=388
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000388.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.84
# 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.

ion
Occ
c
rimet
Oeb
E L L. IPS
OCCUrFANEIn E, M, N, O: actilque per P e F, lineis PF R, SFV dux circulo oc
Curranc in R, V e AC diametro in 9 e T, de aequidistenc axi BD, ducantur
ordinarim ad axem AC linCx IZ, RZ. Ouoniam PFR., SFV lincx in F _ F,
proportionalicer lunc dinila, racio rectanguli PP R ad rectangulum SFV duplica.
ca es rarionis P B ad SF, adeoque cric PF, R rectangulum ad rectangulum SF V
requadrarum PF ad quadratum SF id est re quadracum P.  ad quadratum FY,
id est requadracum IZ ad quadratum R Z. Quare cum rectangula L P. N, PFO
aequalia sintrectangulis PF R, SFV, etiam L F. N rectangulum est ad rectanou-
lum MFO, re quadracum IX ad quadratum RZ: deindocum IC hoc est ZD
Ac aequalis F D, _e DC aequalIS DN, Crir Z C aequalis L N. eA vCTO _E COLA AC
aequalis tori L NV. ergo reliqua A Z reliquae L P aequalis est: adeoquo AZ C rC-
aangulum aequalerectangulo L F. N: eodem modo ostendicur rectangulum AZ. C 2 142. h1:
aequari rectangulo MF O, crit igiturvE A Z C rectangulum ad rectangulum AZ. C, ins.
sic quadrarum I X ad quadrarum RZ. Ouare. AIKC, puncta ad ellipsim. Duod
exat demonstrandum.