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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 709, page id 1815201908:0766
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=766
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.83
# 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.

TN P L A H V Z
duda isirir diasonali AE, e planOPCD AF ee puncu . ClipaS CK BAM
AF. B, _ alcicudino B C, dimidia prramidis exbasi quadraca AB L. L e Cou
alcicudino BC. sed prraniis C EBD, aequalis est prramidi a B L C3 cum bans
ABC, SCaqualis C B Id, dc alcicudo BF. communis; isirur pyramis Rhl. L CX
ductu AB C in BCD Tubalcerne polici, dimidio prramidis AEHC. B clt aqua
lis, quae aequalis est pyramidi ex ductu AB C crianguli in le. Quod fuic demonstran-
dum.
eROPOSTT
VINE ABC, EFC crianguta rectan.
gula, incer le similia de aequalia, di-
vislG: AC, F. G bitariam in l _ MI, a-
gancur per Ia M linex HI, L N, paral
lelae rectis BC, FO.
Dico corpus orrum ex ductu plan
BHIC in sc, ad corpus ex duele
FL. MI C in se subalcerne, cam habere racio
decim adrredecim.
abent quaTuIOT
monstratio
Glane lineis HL, BC. aquales indirect u IR. CD.
iuhgancurque KD, icem e lC a Gua
tiac O, et FC+ linca aguas MIB, Tuhsancur.
que NO, cric igicur Mdane pomca
ad EMCti deminanur caIl a Lullea HI1.
EP Parallelarectis AC, C. C. TanigancurqueK1
PM. Planum BHTIC adclmmenem IK
xquale est corporibus orcis ex ductu BIIK: in
AD, HRT in ID, _ RIC ducto in FD, sed planum BHTR ducum in ID.
requale est corporibus orris ex ductu BII R in ICR, in CR S _E in S RD: RE TIR I
planum ductum in ID cA xequale planio EIR Iducto in LC. K. in CR S, eC in SRD.
deinplanum RTC ductum in planum YD aequale est plano R IC ducto in ICR.
in CKS, _ in SRD: igicur planum BFIIC ductum in (c. aequale cAt plano BTIR
ductoin TCR, in CR S, in KD. _ PIaLO ETK LABCIOMLCR, in CKS, in
SK D, ona cum plano RIC ducto in TCR, In CK S, in SKB: cA aurem pIZ
num BE R ductum in CRS, aqualo BHTR ducto in se; e BH R in SFD
aquale B HIR inse ducto, icem FTR I aguu aLinC0, item RIC
in CRB, xquale KLC inlc, veiee RIC in SRD. cm BiR in CIR dimidion
cA Bealc, d HRI in C a LLe MaR:B
in se aouare et plano BFIR ioo Pano HKuiclemch a pinoki
insupor a RlC in sCK. dintarm AFC m 1C. Hau pranum BHITC agau
in sebisen usae aalacibus Guarum hga aquales suncB FI R duileI
(0; quibus haddideris quacuor quancitares BHR in ICK; HRL in CKS e in
SKD, irem RIC in PCL quac a icemlunt BH R duax Inse; erit
planum BIIIC, ductumMe aqua sepcem quanciratibus, quatum memx eguaIes
sunE BEL R ducte in sc. id est quaruordecim  quanciraribus, x qualibus B FTR du- B6. hutus.
ela te. lubalcerne.
Eodem modo ostendicur planum FLMC ductum in selubalcerne, id cAt in pla:
Hes CMIO aequole ene credecim quancicacibus quarum singulae xcaates lae
2O_. illi aequale L  I C. habebis duptum BH K In LH C acct
insun
FL P sinc BHIR in se subalterne ductainam FL P, in M C9 est aequale HIBR
in TCK, quae est pars decimaquarea BC I ducti in ICD. Cui li adiungas I. F P in
X X L L
se oseeesaeo ooa   se uo