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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 453, page id 1815201908:0510
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=510
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 77 lines, status machine
# Lines: 77 recognised, mean confidence 0.78
# 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.

Dola
ECUF.
d
1.
EI2.
CD.
L.D
ut
alo
ABU.
ABII.
lire.
id
EL
an-
im.
im
Iu.
L A
P A R A BC
EeCtanO KML L. IBICE vE H C F reclanoulum, ad rectaneulum OMN, bc
BCF. rectangulum ad rectangulum KM L: e permucando ve HIC Trectangulum
ad rectangulum BCF, siC OM N rectangulum eA ad rectangUlUI RHL; Scd
EtanSuta INCeI LC aGUanCUI. Cuodcrac demontra.
eROPOS1YF CC+I
VECenE AB Cemicirculum orrHoSonalirer diamerri dux AC, BD:
Ddelerpas Per A, B, C, Parabola, curusaxis B , ducantur rectae quor-
cunque F. F, parallela AC, occurrences circulo in F. de F, parabole in 67
de HI, axi veroin I.
Dico F. CF rectangulum esse ad rectangulum L. Cti, ve BlD rectan-
sulum ad rectangulum BID.
FTOT, BC E rectangula per hypochesim aqualia LIIMEigIEUE _E OMNY, RML rC-
Demonstratio.
DOnacur AB, CEeaS P Flineas
In R. DE BK A rectansulu
2d rectangulum BK A, SC
EKF a rectangulum est ad Fe-
ctangulum PK F. sCd vEBR A
rectangulum ad rectangulum
BR A, SC GR EI B rectangulu
estad rectangulum CKFIi igi-
TUFVE FK F rectatioulum est ad
rectangulum P R L, AIC O RII
rectangulum est ad rectangu,
lum GKTI. residuum isITUEP. CF rectangulum, et AA FCCLAHSIIIUIIM L C F, Vt
FRF rectangulum ad rectangulum F. K F, id est rectangulum B K A 2d rectanou-
lum BK A, id est rectansulum BID ad rectangulum BID. Duod erat demon-
Arandum.
EROPOSITIO CEXI.
EcentABC lemCuu orthogonaliter aaeti aua AL, BV: de
L (criptag: Pet A a B parabola cuius axis BO, delcribaCUE _E AIECTA PEF
B _ C, hâbensaxem. D C _ vertice C ducaturq linea F. F parallela AC
occuriens circulo in E. ee F, parabolisin C, ec tI, axi BD in I, et AB ium-
etx in IE. 1101
Dico EI quadracii esse ad quadrarui C. I, ve I Hx linea est ad lineam IK.
Demonstrato.
Tontam tam AV L
Llu, quam DC, 21
FTI Proporcionales TunE, de
AD, CD veriusque serici pri-
ma xquales, rario HI ad IR,
certia adcerriam, dupicata est rW 
rationis Ll ad IC, 1a CaL1
ad IC secundae ad secundam.
isitur ve ITF linea ad lineam
2
vorii
moaaum
2c
.
nd 11Y. 1, 
eRO.
TK, AC F. I quadracum ad qua a
dracum GP. S.Guod erat, de. 25oB e .Xt. C1 33 .D i M 1231
tia
ti
1