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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 665, page id 1815201908:0722
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=722
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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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# 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.

ilitu
sectione
(Gueez.
Ratio 
d Criet
habur
Irebi
ab, eit
rimet
nedlsa
Eeuria
devent
mins
tim et
labea
1o
ub
et
atuIa
sirali
665
palis freurae, ex proprietates omnes, ab Archimede in spirali figura ex pas, 
riri ad oncuemetiam in parabola, es per contincentem parabolae, etia pat to
qua per tancentem spiralis, posse assionari lineam perimetro circuli aequalem. Orate-
muritaque Comparationem ipsam; orisines veriusque fieura inter se conferendo. dein-
de sinculas propositiones rum ab Archimede, tum etiam à P’appo Alexandrino allatas;
quae de sporalis fieurae natura tractant, parabolae adaprando.
P ROBOSITTO PRIMA.
Pira _ parabola in ipla gereli mira limilicude Oscendicur.
Spirarum gene sim hane tradit Archimedes in libro a pct
bus definitione prima.
I in plario recta linea alcero rermino cianente, aequali celeritare cir-
caredear deinceos co vndeprofecta est: Simul vero cum linea
circumnoluca feracur punctum pari relocitare sibi ipsi, secundum re-
etam lineam ducto, mocus inlo aimmobili cermino: iltud punctum
lineam spiralem in plano delctibet:
Aca lic rectalinea A B quX manentE puncto A et vnitotI ccleritiee in axtrant
roucacur donec in cum locum redear, a quo moveslc pelal. Cocen verotem-
poce punaum A percurrac ryiformi celericare rectam AB, llaDe A non prius per-
veniat in B quam recta A B, priniam reuolurignem peregerir. Lelccue cut punctum
A morunequo rectoneque circulari, ledcompolico exverogue. Ceam compolo
illomocu puneti A delcripeam Archimedes spiralem vocar uo unacus B HI, ipS
ABxqualis, d punctum B percurrac rectam BHI, code cempore, quo atteme pan.
eto A recta AFLin orbem verricur, describerur spira se cundle reuolucionis cundom
in modum describerur spira reuolurionis cerrix, quare acquellaum.
piainasespieauim orisinesi acdorisinem parabolae pcautant.
PP
APPLI.
u    stet  pet et at   e e e te  a e    t  ue    a t.    l     B