# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1183
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1183?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1126, page id 1815201908:1183
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1183
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001183.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.91
# 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.

DV ADR ATVRA CTRCVEI
PROPOSTTIO XLIN
Ine denuo super AB recta duo quadrara ABC, ABD constructa, e
Drecta AB Cc a qualis lareri recto parabolarum AF C _ BRC, Subal-
cerne collocatarum ee communis virinsqueaxis AB, in quo sumpris FTI
X IE L, a qualibuSinTEE(CCONSTIELIaNEF P HIP, MIF, _ENKQ, OLR
ordinatim ad axem.
Dicololidum quod sc ex ductu plani F. LI IM in planum HPFL, n0-
cam habere rarionem ad solidum quod extursie ex ductu superticiei
NR LO, in superkiciem ROR L.
Demonstratio.
DOnancur parabola A V C, B X C aequales prioribus, quarum verrices Lint A d
243. Buins. B, conciniganeque AB in A _ B. octensum cs anocam ene racionem corporis
quod Ac ex ductu SFTIT in FIrXI, ad corpus ex ductu superkcici YRL Z in
B Per cand. P upe L. Similicer demonstracum estb nocam cNcrarione Colidi ex ductu plani JIe à Y
=40. huin.
in FTx ∞T, 2d Colidum productum ex ductu i R L a in planum RnBL. Domonstra-
cum aurem est crationem corporis orri ex ductu SHLF in FVXF, ad COrPUS OF-
cum ex ductuplani YKP Z. in RupL, cocies concinere racionem corporis orti ex
ductu plani FTexY in HIYOI, ad corpus ex ductu bRILa in KnBL, quocies
haecracio contincerarionem corporis orri ex ductu HRMT in FTTEP, ad CorpuIS
orrum ex ductu plani RNOT in RL. R9. Isitur cum nocx sinc prima, ec secunda
racio, nocum quoque cs quories prima lecundam contincac, AC proprerca nocum
quoque cAquories secunda contincac certiam: ieaque cum se cunda rario scilicer cor-
Poris orri ex ductu plani EIenI in EIrDT, ad corpus orrum ex ductu VRL a in
KyBT noca lic, eriam noca crie racio corporis quod oritur ex ductu luperticiei
ELIM in HIPET ad corpus orcum ex ducu supertciei NKIO in K O R L.
Quod exar demonstrandum.
P R O.