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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 168, page id 1815201908:0225
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=225
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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 0.89
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biae
b26. terg.
22. terti.
R CV LVS.
2. Radius A C maior (IC recta A B: iutGAH-
cur C B, BD: X AB rectae, aequalis ap-
plicetur CF, iunsancurgi AB, AD. Ouo-
niam isieue CF. linea, xqualis ponicur re
etx AB, e C. A aqualis ipli AD, AnC au
tem e circulI ABC, ABD per construc.
incet le aequales, Crit aEcus +C F. X qualisar-
cuI AB, _E arCUS CF A, aequalis areui
ABD: vndc angulus AB D, aequalisb an.
suto AF C. sed anguluS AF C vna cum
angulo c AB C duobus rectis est equalis,
isicur ex angulus ABD, cum angulo ABC
duobus rectis aequatur. quare CB, BD li-
nex in directum lune.
3. Racius AC. aequalis sic radio AB. p2.
cec punctum D, incidere in B. igieUF, etc.
Ouod Fuir demonstrandum.
PROPOSITTO II
uo xquales duvenculi in A e B. circuli quoque
E B diaMeFer (IE AB, duCaEUTG: recta quenIS AD, OCCUFFENS
Ccurranelibi
Dico in F. bitariam diuic rectam DC.
perimetris circulorum aequaliura in D, e C, e circulo AE B in F.
emontotatio.
TAdANEDMMO PaNCId L. eE D, ad can-
dem parcem lincae AB; ducantur rectae
DB. CB, EB: Duoniam angulus C AB,
duobus arcubus D B, C B circulorum equ2-
lium insictic, x quales crunc subrenle D B, C Bi
ac proinde anguli F DB, F CB, aquales;
Cuncauce anguli D F. B, CE B, Fecti ob AF B
Temicireulum, _ F B verique criangulorum
DBR, BF C communis; criangula isicuE
DEB, C F B, Xqualia suncincer se, de similia;
quare _ CD in F bitariam diuila.
Secundo sic A punctummedium inter D,
ex B: Cum circuli ACB, ADB, UnC aequa-
les, e AB linca, verique communis criangulo:
DEB, FB C, erunc anguli ADB, ACB, in-
ter le aequalesi quare cum anguli quoque ad
E recti (ine, crunc eriangula DF B, K B C in-
cer le aequalia e similia; ac proinde D L rectE
EC aequalis.
AFB in A: punctum quoque D idem sic
cum A, quia igitur AC contingie circulum
AFB, cric angulus C AB, xqualis sangulo
Ccomenci DFB, ac proinde angulo AC B
(cum AFB, AC B Tegmenca sunc a qualiai)
quare aequales quoque Tune anguli B AC.
BC A: de quia angulus AF B rectus est in.
cemin
Tercio linea AC concingae circulum
ut  pui  t i s a   ti u te pie i e  pua  pute  u pe ut . e e t   u       e  tt   t   e  e    1    e   p en t