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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 673, page id 1815201908:0730
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=730
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.81
# 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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# After the first blank line: the recognised lines in reading order, one per line.

chi.
ram
ip(2
iate
Pap.
ad
CdR.
S sI
vetd
D.
BC
min
rin.
Deri
CF.
ral-
2180
Ca1B
13
de-
14
SPYR AF +S.
APPLTOATIO PARABOLE.
VIc pataBola AB L. quam rangat AB, Sccer vero D F. conveniens cutm
arangenre in D, e Parallela diamerro, iungacurq; AF. Sccetur dein-
de DF. in Guortibet parres equales OC, CC,. CC, d ex A ducaneur
quorlibececa. at de deplatental perimetrum circu-
li DC D; aequales verO reCtX DF. partes C C, reterune xquales ansu-
l05, luc arcus aequales CC; rectae tandem AB in patabola qua pro-
cractae abscindune a quales patces CC, exhibenelineas AB in lpirali X-
quales ansulos (IVC arCUS COnLIMENTES.
Dico AE aqualium sui parcium continere vnamplus, quam lecun-
da concincat AB; secundam vero AB aequalium lui partium complecti
unam plus, quam contincactercia AB, e hanc rursum parcium lui e.
qualium unam pluscontinere quam continear quarta. e sic deinceps.
monsorte.
BF, Ut DC ad CL. ACd PerS. Archimed. de quadr. Pata0
etia A F est ad L L, M C B ad BF. ErgO A F cst ad F F,
qualicer secta in partctis C, etiam P A in punctis Faequa.
licer ese diunam. Aeque inde vlcerius ob rectarum C BF
requidistaneiam est mamlectum singulas ABC lincaS 2
Pacallelis (BF lectas ese equalirer. Perspicuum itaque
est AP unam plus aequalium sui parcium continere quam
concincat secunda AB; sccundam verd xqualium lui
parcium complecti vnamplus, quam concincacrertia, et
sic de exceris. Sed cum in spirali A D, A B, AB, sele mutuO
aquali excessu superene, etiam prima AD ae qualium sui pareium Concince vnam
plus quam secunda AB; ec haec aequalium sui parcium ruam amplius quam cercia
AV et lic de careris. Ectucixicur ly mbolicane spiralisec pacabola. Quod erae de.
DE puncta B ducancur CB F parallelx ad BL. 
nramigicur parallelX sunc DL d L3  al
ve DC ad CF. Parecigieur ex elementis cum DF SIC X-
onctrandum.
494 3 1 al 1
d
C
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