# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0426
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0426?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 369, page id 1815201908:0426
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=426
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000426.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.85
# 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.

D E, BB, DK: isicur a ConingenS PeF Y posira cum diametro convenietm R: idem a 27 lib. dc
ergo punctumest X ex I; vicerius, iungancur puncta CP, CI; quoniam isicu circulo
CI linca in luperhcie est coni, criangula lune, CF I, CIK, ee planum CIR con-
cinger conum in linea CI. ponarur eandem in plano CIK linea PE; concinsccil-
la parabolam in I: cum enim planum C TK conum contingat, linea aurem FLia
eodem plano sic, et limu l in plano parabolae, cum puncta R de F, in codem sinE, p2-
EeE FP concinsencem elle parabolx in T.
Vicerius cum CM linea aequidistans ex parallela se Cemidiamerro D B, aguidi-
Aac quoque de equalis est AD: vnde AC, DM parallela. e quia L F. aequidistat
AC, aequidictabic BF ipE DMI: eAt aucem MD diameter parallelogrammi DN,
in N a diamerro b C. B bitariam divila, recta isicur P P in IT; quoque ab cadem dia- b eer eto-
merrobissecta cA: aequales ergo lunc linca F. HI, EIF. isicur parabolam contingens,
_c. Ouod erac demonstrandum.
Ouod Gpunctum alsumpcumipsum cenerum sic, pacet demonstrario. eodem enim
modoostendetur Om ese concinsencem parabolx quxe per lincas N D, DO, et c.
duCCTUF.
eROPOSITIO ZVI
ladolam ABC Cltus Mamelet BB, Contingane in A a B; recta
LAE, BE conuenienres in F: X EB quidem AP, aequidiltanri BD
Occurratin F.
penca.
Mco LB Ia L. bitaciam ele alultatu.
Demonstratio.
oducta AB corveniar cum diametro in C, ponatu-
que ex il ordinacim ma iD. Guontam AV, LB X-
quictanc; A B da D, HCLDCM d AB, SdCILFB.
sed CB amdiacel eB, siut a Li B dimidia quoque
eA FB. Ouoderar demonAtrandum.
Corollarium primum.
TNCBALEE, S idtCIA A D GUOLBI EL L POHAHCF X qUI-
anca L D, illas bitariam à coricinsene AC di:
uidenctas.
C17. htius
il