# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0496
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0496?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 439, page id 1815201908:0496
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=496
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000496.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.73
# 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.

te
1.
D
C
N.
ex
b
2
A
AR ABOL A.
riplicara estrarionis IN ad FE, Secunde ad secundam, cuius TF, ad TML, CCFEIZ a27
ad cerciam, rationem bhaber duplicaram. Ouod etar demonttandum.
1971
2
I  celocent
IIdem posicis:asacur Der O ordinarii O P. 5. 3c: l Lusariae iinsuctio
Dico ID ad LII, rationem habere eriplicatam ehus quam Habet IFF
adC P. eerarionem ID ad IB, criplicatam esserationis l AL.
caissinibalLin
Demonstratio. 1. L = WF
0
Pioni
Ibid.
35iI L 5.
Vmenim FN media BCinCet ID ec TE, rectxe FD, TNI, TL, CTF G P pFOPOF- C17 1. huius
ionalessune, quare (D ad IFI, prima ad quartam, criplicacam haberrarionem
TTT 2d dGP, quarea ad gucam. Ouod exat primum. Rursum cum TL media RC d27. D.
chtex ID, IM rectae ID, IE, TM, TB, TK id eA C F concinux proporcionales preressions.
sunc. Guare LB ad LB, prima gd quartam, eriplicacam haber racionem eius quaM C Ex 42.
habec 1Bad C. L, quarca ad quincam. Quod erat demonstrandum.
PROPOSITIOCIXErIII
AVILIA POHEISAGANEUF PEF Q ee B diameeri TV, RS OCCUTTCNEES ADC
parabolae in V _c S, de AF linca in T aR.
Dicorationem ID ad C P, octuplicatam esse rationis R S ad TV.
Demonstratio.
huius.
Er74. hruiuo
SeCatio ID ad C+ P, A_PECala SACIOIIIS E AL Al HI L, 1a CIC R B dl L V. b
id est quadruplicata eius quam haber R A ad T A. sed racio R A ad F A, du-ius
plicaca est rarionis RS ad T V, cum ordinarim sine posite ad AF; igirur racio TId
ad C P, octuplicata cAracionis R S ad ZV. Quod erar ostendendum.
1. tut-