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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 699, page id 1815201908:0756
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=756
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000756.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.79
# 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.

A
H
dolat
oiu
redt
ABI
se
CntIB
CnI.
A
IPip.
d. 241
511.
9.
SPTR AL TS.
DROPOSITIOZXVITI.
Ic parabola AOL GUAMTANSAE AC,
lccet vero diameet C L, iunisacurque
cem A ducancur roridem arcuS oOnCen.
crici quor in parabola ductx Fuerane dia-
metri, qui spirali occurrane in punctis O,
eradium AC similirer dividane in pun:
etis B, ve secta Fuerat in parabola AC.
Denigue ex A Der C puncta ducanEuFre-
Ax AOD.
AF. Ducantur deinde quoruis diamerri
occurrences parabolae in C; punctis 66
ducancurque ACD:
Sic quoque spiralis AC de primus
circulus CDD, radius A C: C CHErO aU:
concenrricis BC, B0C, etc. esse proporrionales.
Demon-
Dico primo omnes rectas AG D in spirali similicer cAC divilas quem-
admodum lunc AG D in parabola. Ddiamerrum quoque C. P in parabo:
I2 ex peripheriam C DD Cimilirer ese lectas, ac proinde lincas CD, DD
AO lunc ad CD, ve AB ad BC, hoc est ex daris, ve AD alt p
rabola, HOCCIEVE AC ad CD, quod crarprimum. Deinde per 19. Pappi
lib. 4. decu CDY est ad peripheriam reliquam ve AC ad CD, Ho CC
DE, arcubus C D, DD, DC, este proportionales; in spirali enim
veA B aoee a  Palaboa adtC Det2. Hu-
ins ve C. Met t ata antela  feetia
DD, quoderar alcerum e demonteralal.
Dico lecundo lingulas diamerros BG; BaO, _c. Cingulis arcubus
o t u     st o     a     s  oo p  u o a su soomsou