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# Page: https://leibnizlegible.com/page/1815201908:0724
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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 667, page id 1815201908:0724
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=724
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000724.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 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.

nhia.
3B et.
dla, se.
mpo.
cellae
_Gu3.
CAB
recta
AVnI.
quod
exleea.
igit
n pun.
enic1
iat
Fercu
e
emad
despit
que
rieale
BB11
6 ad
ette
al
B6
M
at
H2.
ull
2.
u5
21
11
PIR AL TS.
a 2is
rallelus exhibee Auxum puncti A in spirali per rectam AB; punctum igieur A in
Parabola retere principium spirae A, recta AFB vel ATB, cam qua est princi-
Dium circulationis, nempe ipsam AB; linca BCC+B peripheriam BCC B primi
circulis singulae vero parallelarum F.DY peripherias linsulass qua primo circulo
concenericx per singula linex AB puncta ducuneurs lineae aucem AD C. (parreS
ipsius. A S) diameErOS AD C repexlentant. Ex quibus consequens est spiralem
iplam AD P a parabola AD B, ex circulum primum a criangulo B AB adum-
brari.
Videsisitur, nisi fallor amice Lector, quantum in ipso orru; atque à primis (~1 ita loquar):
incunabilis symbolieent spiralis es parabola.
eROeOStFIO It
IIdem poHI, nrum Rgura parabolica, CumatuF BP, ip( AB X-
aqualis, ductaque PFTK FT parallela ad BCB, occurrac illi in HI recta
A TBZ insinica, iam consruens ipsi AIB, RatGuE FTK EI aequalis ipsI
eHI, d iungatur AV HI. Deinde quo cempore ABIIZ, manente puncto
R, monerur bniformi celerirare per lineam FIIL TT donec congruat recta
ATVHI, codem infinita illa linea R G, iam conoruens ipsi BB, moru
semperruitormi ee ad rectas BCB, PHI parallelo percurraclineam BP,
dOnCC CONGTHAE FCCEX P HKFI. Incerlecabune irerum le perpecuo in
punctis P.
Dicointerlectionibus TI, illo mocufactis eandem parabolam conci
nuari.
Demonscratio
Ssumacur quoduis Y punctum, eodemque plane discursu osteHCHIIS CHC, BO
AB aucem sic ad BP, VE P HI ad FIKHI, Cum ex constructione tam AP, quam
Lid OP, hoc est YV ad VHI, HITR a RH, quo PrOPOL. F. OItCNAIMIUS
AT eNC ad TB, ve BO ad GB. Deinde cum A Y SC ad YHI; VE AB ad BP
P, KFI bisectae sinc in B _ FI, CaI A L est ad YFI, ve P HT ad FI, RII. CCd YII
CM ad VFI, vC EIKHF ad R el. sam enim ostendimus diuidendo ZY eAc ad VH,
e   i letat det  se te s e  e te a et  e p e it at sot at t  t pet      i   tt ete st e  t     e . ee    e t   e    i