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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 34, page id 1815201908:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=91
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.79
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

   . n Be an1
L. :D W F. id AC -Y ML
PR. OPOSFTFO LLL
Cum ansulo obculo ira lCatCIM B
Sine quadertis AC, CB.
Constructio, es demonstratio.
SeO AB C criangulum obcta GM, OpOrteaE AB lacus CubFen-
L    d te
1CLL L
cuca AC i L3 D C, C F
linex lnc incer le aequales, iungan.
L.  TEUE FB, Producacurque A B in C VE
GB, BF linea HC X GualeS: EIIM AC
bitariam secec  L. Sco lactum
esse quodpelut: Suonam AC. CF
lince lunt incer Ce xquales, Crut ABC,
CBF criansula aequalia, ee quia an-
tus ACB obculus clt, eric AB
CB. quate punctum P cadec inter A ec B. Su Cum A C linca diuila lic bita-
9. Secun. riam in F, d non bitariam in B, crune AB, B C quadrata dupla 2 guadracorum
b39. Huius. AI., L B; led se AB, BC quadrata, id cIt AB, BF, alpIaTMHE GUadFatOrum
Aliter.
Emictatur ex B linea BD, normalis ad rectam AC, LCCCMG ABII L, VE
A F. B rectangulum aequecur rectangulo ACD (quod tcri postc ex coconstat,
quod AB lincamaior sc linca AD.) Dicofactum ehe guou pelcut. Mladrarum
c12. Scnn. A B aequale est quadraris AC, CB _C A CD C reClACOS IPIO, ICIA AB
quadrata AC. C B, vna cum rectans LaGuana um adraris AF, FB,
lacus, subrensum angulo ACB, maiuslatere BF, id est per constructionem, latere
AC, CB, igIEUE quadEAEa A F; F B, a qualia lune quadraris AC, CB. dinisimus
igitur lacuS AB, _C. Ouod crat Faciendum.
a4. Socun. Quadratum aequale d est quadratis HL L B u HLL.  cal MobismpIo, lBicut
sructionem xqualia, igieus d Guaaca LLC, C B, aequalia lunequadraris A P, F B.
dinisimusisitut, LC. Suod cractaciendum.
ina cum rectangulo AP B: TUnE autem ACD, A F. B rectangula incer sC percOn
LLei e Leo
BAcis duobus crianoMHI LLDC, C DL Ia GUaL A, LupC
eadem, vel aquali bani  Cou, alCCLC, Pacal
lelam baIL AC, qua auterac eriangula in data rarione M ad N.
Constructio ex demonstratio.
Vcacur ex D linea DR, p2
rallela ba(I, AC, OCCUIFECNS
ABC criangulilaceribus, inR
 L. ACM aL MLRadNY, SC
Fulum autriansulu
. quod Simile SCtriargu
oCDF. cum quedam ducacur
Leco LEC Cclansuli laceribus
EG, ParaIel2 Da ALC, OcCUT.
IaLaer a Cciangu
LacetouS in FI _ L, vec IC lC
Ld. LLL, HcuE L R ad PD. Di
colactum esse quod pecieur. Quoniam  al HIL. A LR ad P9. criepeemu
EatO inverEendOVE L R ad FG, SIC P O ad TTT: sed T BK criangulum, est aa
Erg. Seuii. trianoulum F BC, in duplicata Fratione eius, quam habec L. R linea, ad lineam FC,
5Ibia.  POO criangulum es ad criangulum C D P. in duplicara B racione e
2c
  i.   .     . 1 . 1 1 .  1. 1 1  . 1    .  .    .    p  .    pd    d un  puu