# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1212
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1212?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1155, page id 1815201908:1212
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1212
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001212.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.84
# 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.

QV ADR A TVR A CTRCVEI
raBola5. Dico Factum quod requiritur. dnClA CHNA GuaSZ a vel XY, quae aequidi-
Htec AB vel FF, ostensum est. rectangula LpN _ X  Y, aqualia eNe rectangu. pauuce
11)5
Inciren
ribus cxtndricis quarum bales lunc AB DC. _ E. F CFP, e alrirudines V L. ex O R, ellipsi ex
ISICUEPEtteC IMUo, qUOd luICCAC impetacum.
ccdetda
lis (uB VL ec 0 p, _ OR ∞ 0. Quare eodem discursu quo demonstraca cAtsL. hu- monstracis
insostedemus corpora quxe hunc ex ductu parcium pacabolarum inter se aequari par. duum:
PROPOSITI
L. Z X V
curis ad communem arem AD.
Oporreat alteram invenire quae ducca in se subalcorne idem producat
Aris duabus parabolis ABC, D L L LIAGHAIOIS LUBAILELHCCOMHLI
tetascale illi solido, quoeteet pet adetuim ABC in DE. F.
Consmo uostalto.
2l0. paral
Tuidaturaxis AD bitariam in F, _ Posica OrdinatiM F FY, Rac L. C media MCC
duaSF L, T B: denique AaE vE D E linea ad D A lineam, ied L C Guadracum 2d
quadrarum AR, RacqueP. C aequalis P IT _ AR, aqualis D L, dc per DHAIII.
Parabola delcribantur xquales ex similes, ve parec ex ipla conttructione; ee parabola
DCR ducta in A FFF aequale Colidum exhibebic illi quod extribet ductus pal aboId
DF Fin parabolam AB C: quod parebic siquenis MI AUCACMLOTMIMALI dd com
munem axem AD: nam rectangulum MO P aequale cric rectangulo . quod
ica demonstrabitur. Racio recranguli C+P. IT ad recrangulum F. P B, componstur ex
sisdem racionibus, ex quibus es compolica rario recranguli NO (ad recc
ATOD: nam est GT ad L F. VEO VFadOM; _ T BadLHI; nE OP1dOO. eigo
cumrecrangulum F. P B, aquale sic reccangulo C L FI; criam recrangulum MML
aequale eric NOO rectangulo. quare solidum ex duccu D GK, in se lubalcerne pro-
ductum aequacur b magnicudini quae sic ex duccu parabolarum D P. F, A. B C inrel B45. Duc.
sicur pertecimus quod poctulacum fuie.