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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 677, page id 1815201908:0734
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=734
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine
# Lines: 75 recognised, mean confidence 0.80
# 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.

d
Siedt
(BF)
3. 18
Muo.
Dium
Ur ad
anci.
pe
Cem,
ReM.
inci
ple
CMa
AIMII.
ll6.
112.
que
AF,
ndt
e
1
dC
D.
2M
DPFR LL FS.
principlum  Ccnsus B, a pald-
bola, cuinsicem A cA qualiprin-
cipium, B aurem cerminus, apristi-
me extriberi.
Tansac iam parabolam in ter-
mino luo B recta BF OCCUEECHS
axi F. A producto, in F, aufereE
haeC ab axc productO peF 35. L. COH.
rectam AF, aqualem ip(I AF, hOC
estipsi BC B, qua ostendimusre
praelencare peripheriam circulis
plane quemadmodum cangens
spiralem in cermino spirxe B, au
ferebar ex eadem linea aequalem
ciulde circuli peripherie. Non mi-
nus isicur parabola, quam spirali
convenir haec propriecas. Quod
erac demonstrandum.
Ouod (I AF sive BB aequalis
ponacur peripherie primi circulis
eransferaturq; parabola ADBK
ad parcem alecram in HI, (quod
hec ( ex C puncto medio rectae
ABcrIgatuEprOaxC OHI quxe (IC
quarFa parS AE, GIVC AF. I AliteT,
e Forcasse adhue maior oriceur(r-
milicudo. NNam (i BF tangaCpaTL
bolam in B, dico quod abscindat
AF aqualem peripheria primi
circuli. Producatur enim axis GHI
in IX; Crirque per 35. L. COn. KG
bilecta in FI, adcoque CR dupla
es ipsus GFT. F A vero de F A du-
pla iptuSKC, cum F A SF ad R C,
vE AB ad GB. EroO F A quadru-
pla est axis HIG. Sed criam AF,
hocest exhypocheli peripheria primi circuli, ex constructione quadrupla
ciphusHC. AEquales isicur lune, recta F A, qux aufertur a angente
Parabolam, ee peripheria primi circuli.
Jam sublumo: ac qui recta, gux spiralem cangic in eodem puncto B, ct-
jam abscindir rectam AF aequalem peripherix primi circuli: omnimoda
isirur verimque similicudo. Quo doporrebaroltendere.
Corollarium.
iX his sequicur, posico quod ca A F a qua  Petipheriae axis parabole GHI
quarca pars ipte t. lineam FB spipam e parabolam in codem B puncto
Cbct SClb.
LTFF
b2lo
ae o a eo eosa ae eo oaon