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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 676, page id 1815201908:0733
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=733
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.90
# 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.

676
SFLKA, L15.
erat demonstrandum.
AN, vC DK est ad D L. Frxo hic etiam (ymboliz ant spiralis de parabala. Ouod
Corollarium.
Ei Lhisperspieuum est, ArchimedisMancum quol proposicioni i5. Subiungicur
eodem plane discurlu posse accommodari.
l l estede2t 122
rohimedis td. aspucatis Zat aocia.
Tspiralem ex prima circumuo.
lurione ortam recta linea (BF)
cerigerie in termino spirx (B:) à
puncto rero quod est principium
spirx, quaedam (AF) ducatur ad
angulos rectosei, qua est princi.
Dium circumuolutionis (nempe
AB) ductaincidet in tangentem,
e iplius que parsmedia crirsnem-
De AF) incertangentem de princi
pium spirxe, xequalis erie periphe-
ria primi circuli (C C.)
Acque hoc es illud cheorema.
quod tractenus Ceomerra admi-
raci lunE. NOSquaratiONCCONVE-
niac parabolae vidcamus.
APPLTCATIO.
VCaEuE AF ad anguloS rC.
tosse AB, describaturque
parabola AD B cuius axis (IE AC,
criangulo ABB spiralem, cuius
princi.
cangens vero B A. Ducca deinde
BC Bparallelaaxi, inferius Occur-
rat parabolae inB; iungaturque
BF parallela ad B A. Denique pe.
sipheria circuli de recra BB in X
que multas aquales parces divi-
dantur per reCTaS ADC. Igicur
perpropol. 3. huius, FCCER ADC
in spiralt de patabosa milicer ab
veriusque perimerro in punctis D.
dividuneur. FX GuO PaTCE rectam
BC B, prorlus peripheriam BCB
reprelentare: circulum vero d
aeeoenesra eeeeeo emao