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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 803, page id 1815201908:0860
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.73
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DE
D.
10
Demonstratio.
IN PL AN V H.
Veancur infinica LRLLFC P2
e ad AC: Duoniam F D,
BD, LD proporrionales lunE, d
AKL Parabola, a rectangula R FC
aqualia Cune rectangulis FTFI id est
L2203 e pacab. olcenaiipla-
ellllie teelltet lll ia allell
hem LC, corpus producieaquale il-
li quod oritur ex ductu P H in F C. Quod erar demonstrandum.
80
2 46. hrrius
exOLOSITIO CLXI
Ata sic Temiparabola ABC, cuivs axis AB, ad quam ordinacum p-
(ica sic CB, compleroque rectangulo ABC. F, iungatuF C A.
ocatiu Lcccu alcale ualt Patabola duclae
in sciplam.
demonstratio.
Pa
Veaneur quorcunque numerolinex GD EK parallele ad CB, rectA GR. DR, B
ER Cune in b concinua analogia. ergo quadraris DK aequantur rectanoula rab
GRF. ErgO F K triangulum duct a  CB a GuaCUL Pa- 1 n
rabole ductxe in sciplatu. uod erat demonstrau.
Eaet dc2tC CtaC
IEdempoliris.
Dicoplanum F. D ductum in allsu  C B, a GIaI PLaH CD du-
etoth planum palaboeu DL.
Monsotabib.
VoniamdcADE GK ad DK, SIC DK ad FK, erit convercendo DE K C ad d 12. parab
GD, AC KD ad F. D. Ergorectangula F D, R C a quantur rectansulis H DC
ergo FD c ductum in alcicudinem RC id cst BC, a quacur plano C. D ducto  16. buini
Macalicat t tuo dtat ee mtlam ditulo
eetent
1720
it 
11II
111I
11I
11 1411. t. i