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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 499, page id 1815201908:0556
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=556
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.77
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

cirelli
ludis.
lITar.
80D2.
inFF.
CFH
adpre
erian
DC ad
cansta
isieut
A prO.
BC
Ci
E D,
CD
NOF.
reiO.
HB.
HP
etis
A20
ine
P A R A B O L. A.
PRODOSIF LO, CCCVTI.
iculum ABC, orthogonalicer in L. diuidane diameeri dux AC
BD: descripeoq; Cuper A F. ve diamerro, semietreulo AF L, 20an-
Cur Per F rectae quoccunque F. C
_ ex F ex C7, linga demitra
EFII
Ol normales ad diamcerum AC, quam C7I Secen in KL. Hac aurem ve
AHI ad A HI, (IC KE M ad HEM, incipiendo ex parte
FHIad FFI, SIC RE L ad K L. incipiondo ex parte L
Dicopuncta D, M, M, irem E, L, L ese hd parabolas.
Demonstratio.
VnGAREUEAF: Ouoniam FFF
LGK equidistane criansula
EiFTE, F K G suHE smilia: est
auIcem _ FFTE crianvulum si.
mile criangulo A F F. ioieuE e 
AFB, PKC criangula similia
TunC, quia verO AF aequalis est
E G, criangula AFF xqualia
sune criangulis F C+K, d A F, F F
lacera, aequalia laceribus (7H,
RB; VAdC DE A E Guadeaeum 2d
C
quadratum AF, id es ZK qu4 = 13 IIV33O NN
ex(uS C, iFCM VE
dratum ad quadratum OK. S hc CMBirSh 23Is. eiOR C 23 MIBB: E e oles
AII linea ad lineam A FI, id est per hyporhesim RM ad RM. (cd CAVE C K qu2
deacum ad quadeacum GK. GC AR C; rectangulum ad rectat lilum AK C; igi-
EUT VE AP C rectangulum ad rectangulum AR C, SIC M R linca CMAdHIACAM M R. 2 P~ coN
quare D.M. M puncta ad parabolam sunc. Ouod erac primum.
Rurlum cum litve E HI 2d R II, GIC PR ad LR, SIC alITCM VE FH ad FHI, AC
EF quadrarum ad quadeacum F. F, id est F K quadratum ad qualarum P. K: exie
et L. K linca sd lineam PK, De F K quadracum ad quaatatu L. L: vnde F L. L
puncta lyne ad pasabolari.  M. 1
SCISBIB sALBCHBTOXO
a 3GpOMED RO POSLIDHO CC
Incad AB diamertasem quotcutique de
dscripci circuli convingenres selcin eodem
puncto As guorum diameeri A B; NIE, AL,
AM, ac. ductaq: ex B lideA BCs conringa
circulum minimum in B. reliquos autem le-
cer in  tuF, CpLI. hanc aurem lineis BD.
BEsBB, BC5 80. xequales rectae H O, L R,
MS, NF, eec. qua cireulos concingane in
C. MNO, 8C.  AT1 2 caueII
Li B Y MvLa
Dico B, , B, Sules B. BuNetQ esse ad pa-
rabolam cuiusi A B, laTUIS reCtum du
Demonstratio.
rasis
1X
Vonam BD normalis eltad communem dia
Lmerralem AB, quadratum BD, _ ad quadea-
cum BF. vE ABK rectangulum ad rectangu.
105
vites
b292. tovin