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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 848, page id 1815201908:0905
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=905
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000905.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.86
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

BVCEYSTLAAI
hantauteremdiis rectarum MI B aGuuo LLL, LLC, a L.  MIIIBIS a-
848
P C veras cHC Parabola5.
quales OFI, denique FL a Gllalessane Le. d L. I Canslerancur in R;
PO: VE PO in K divila sinebitariam.
DiCOLHE, GF, IIEM FC, HF parabolas ente virtuales: deinde O1,
Demonstratio.
et elb
Ncelliganeut ad circittoru persprettas aucilinex CM, CB; cruncisicur eriangu.
la CMB Similia incer se, ve ex elementis pacer, quod eriam ostendimus 279. huius.
quare requadrarum CB ad quadratum. CB, id est ve CR a linea ad lincam CR.
sic HIB quadracum ad quadracum MB: id est OI quadracum ad quadrarum OI.
quia NEB, OT lincae per hypochesim aequalessune; parabola estigieur vera, OCY
cuiusaxis CD
Rursum eum E F linex aquales sine AB, _ OF aequales MB; sine aucem de
EF, OF in R diua bitariam, reliqux P O F. Fxquales lumr, de simul sum pex xequa-
les lineis AM: sunc vero FO lineis aequales OLF, e FI aequales IC, singule
isirur LHI, CF aequales sunc ipsis AM. Ccd ANI, cranslatae in P O normales ad
CD; veram producune bparabolam; isicur _ P II, CF cranstacae in PO ad veram
sunc parabolam. ergo F LI, F. C: lunc vircuales parabole. cum aurem lincae OO, II
rectas FHI; F FF et FC, FC bitariam dividanc ex hypochesi, parabolarum virtua-
lium axehet e BC Gl, quas olendi veras ese parabolas.
Tcerum cum F F lince aequales sine AB, e F C oltenta aequates AM, reliquae
F C equales sunc MIB, id est O, I. ex hypocheh. similicer HF rectx xquales octen-
duncur rectis OT; isicur cum OT vera sic parabola, puncta F. C, ITF ad virruales
sune parabolaS: quod vero PP, OO; quas veras octendi esse parabolas, rectas
E G, FTE bisecene, sC Ostendo. quoniam F:O ex hypochesi aequales sune P K, addi-
eovel dempro communi O P, rectx F P aequales TunC OR, EorC aurem F C+ Olten-
Exe tune aequales OT; igicur P C religne aequales sune R I: vnde B C in P P divila
sumbitariam. Similicer lin ex HIF in OQ bitaciam lect X Cunc in Q; iBiTUI, eC,
Duodoras demonstrandum.
mena.
6300. P
ab0b.
stttt