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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 217, page id 1815201908:0274
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=274
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000274.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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.
# 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.

DecraIE
AB
orale
decir
vIII
leiu
aie
CIREVLNS
cum TA F TperAF D F quadracum quadrato AD, vna cum rectangulo A D FT Bis
lumpro, eAt aurem rectansa CF. II, bis sumprum, una cum rectanso
bis sumpto, :xquale rectangulo C F. D bis Mpco; scis isieur quadraris a quali- menca-
bus BC, AD, eric C P D. rectangulum bis lumipeum una cum qua dearis AD, P. C
hoc est rectangulum P. C A Lemel lumpeums cxceNuSquO A F, F C, quadeara si
peranc quadraca duo DF, FF. Eodem modo otendetur quadraca duo AB, BC
excedere quadraca duo DB, B E, reclaiouIO D A C Ad eltF C R:idirur cimqua-
drata AF, F C aequalia sinc quadeacis AB, BF, _CACCHS DAC, L C A. laper
quadraca, aequalia quadratis AF, FB.
quadratis DF, FB, DB, BF, aequales quoqueline, illis ablacis manene DB, B P
Secundo normales ex B de F demista cadant incra puncta AD, L C; BC+ qui-
deminter A eC D; F EI vOrO InEeF F _ C, cum anguluS ADF rectO maIOEHE,
quadratum AF, luperac quadraca AD, DF, rectargulo b ADII, bis (umPCO, b12. secum
hoc estrectangulo AD F, vna cum rectangulo A D F. H bis Cumpeis: quia verO c 13. secun-
E F. C angulus recto minor est, quadracum FC dehieie a quadraris c F F, F C rc- di
ctangulo CF HI hoc eAt A D F. HI bis lumpro; ipicur AD P. rectangulum bis lum-
ecum est excellus quo quadrata duo AF, F C superane quadrata quacuOE AD.
DF, CF, F F. dempris igicur aequalibus quadraeS AD, CF, TCIAMCE ADF Fe-
ctangulum bis sumpeum excesuS quo AF, F C, gnadraca, excedune quadeata DF,
FF; cadem ratione ostenditur quadrara DB, BF, Superari a quadratis AB, BC.
rectangulo C E. D bis Cumpro. isitur cum AB, BC, quadraca xqualia sine quadra-
eis AF, F C, _E AD F: rectangulum (excessuS quadeaTUM AF; FC, IUPCE DF,
FF, quadracis) aequale sic C F D rectangulo, (excestui quo AB, BC quadrata, lu-
PCTANE DB, BE quadraca) dempris excessibUS, TCMAMENE D F, L F. quadrata, X-
qualia quadraris DB, BF.
Terrionormalium B CF, F FI, alECTA InETA DF, alcerd VeTOMLa AB, Spactam
concineatur: Ostendetcur veprius, CF. D rectanoulum bis sumprum, dempris eequa-
Bislumpeotempe Guauratis AD, L. C: teitur cum eota line aqualia ex excelsusin-
supet aGuaSE, relidua quoque quadrara D F, PF, crune reliduis qua draris D B,
BL uGuad.Udatur demonstrandum.
libusguadratis AD, F C aeguale esse excessui quo CB, BA quadraca Cuperane
EB, BD; IceM DF, F R, quadraca luperari a guadraris A F, F C, rectangulo AD B
Schoe-