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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 231, page id 1815201908:0288
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=288
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.87
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# After the first blank line: the recognised lines in reading order, one per line.

aReu
AD SECTIONES CONL
Les lune, criangulum L. HI K erir ad criangulum B AD, ve perpendicularis FIO ad
perpendicularem AF, hoc cA vE IIO adHII, hoc cAt vE M ad NV. restac igieuT
velicum huinstrianrali in cono AB C. D assionemus, asTumpea lineZ PO quae sic
aequalis FIO, deleribacur inceruallo P O lemicirculus PR . deinde apeccurin
lemicirculo P R aequalis FTL, hoc CA AF, X iungaCUE R O: candem super base
FF Raceriangulum ex lineis OCi, R O, nimirum FSF, ve FS ipA O G, _ FS
aequalis sIC QR. EUI peF F. _ S agaCUF dIAMCTCE FV, PONANCUEQUe AT, AV,
ee AS. Dicorriangulum A TV, eAte aequale criangulo L FTK d lmilc. Ouoniam
A Fducta estnormalis ad basim coni, erica angulus A FS rectus, _ quadracum AS 2 dcf. 3. vn-
aequale quadraris AF, FS, hoc est (quia ex constructione A F eAt PR, _E F S est
RO) quadearis PR, RO. Requi eciam quadracum PO, aquacur iisdem quadraris
PR, RO: isituEquadrarum AS aquale CA quadraco PO, adeoque _ recta AS
aequalis est recte PO, hoc est rectae FIO. Iam rero AS normalem eNe baS TV, DE
TIO eAt baEI P R, lic ostendo. Ouadracum H C aequatur quadraris IIO, CO:
quare cum ex constructione A F. ipAIHI C, _ SF ipsi O C, de ex demonstrar. AS
ips HIO sic aequalis, a quabitur etiam quadracum A E quadraris AS, SP: 2C pFO-
indeangulus AS F rectus est, ec AS perpendicularis bah. Ouarc cum in criangu-
lISLTIR, TAV _ BaTCST R, TV ex constructione, es perpendiculares sivc
alcicudines FIO, AS, aequales sinc, ipla quoque rriangula crune aequalia. In luper
cum OC ips SE, e CK ipA F V aequales snE, erir OK aequalis SV, sed de
HIO octenta cst aequalis AS, angulique HIOC, ASV redilunce aequales. FrgO
TIK aequalis est A V. Similicer octendam HIL, aequari AT. Leaque similia cciam
Tunceriangula LFTR, T AV. Ouaro assignauimus in conoscaleno criangulum
peraxem ATV quod ad criangulum ABD, habec datam racionem M ad H.
Duodcratfaciendum.
decimi.
P ROPOSAILOA.
Comlealeh criansalum per arem, ad velllcem angulum rectum
OMtinear.
e a pet aclLaa  ecum ee.
Demon-