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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 381, page id 1815201908:0438
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=438
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.
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# After the first blank line: the recognised lines in reading order, one per line.

P A R A BOL A.
Demonsratio.
Voniam eandem concinvane rationem
LA F, AF, AD, AC, AFI. Proporcionales
quoque lUnE2F L, FR, DB, OL, HIC. quia
eAt cum racione L. L ad C Hl. hmilia igitur sune
criangula IED, CTTD: quare ID ad DC
Ve F. D ad D FT, id est A P ad A D, hoc est in
duplicaca rationis IF ad BD. similicer octen-
dencur rriangula FR D, OL D Similia, _TKD
eACAdLD, VE FD adCD, id cA vE A F ad
AD, id est in duplicata rarionis R F ad BD:
scd racio IF ad BD, duplicara est racionis
RF ad BD, cum IB, R F, BD proportiona-
les linc, racio isicur ID ad CD, duplicara est eius quam habet r L. adt L. D. Quod
crac demonstrandum.
Corollarium.
A. AH. limilicer olcenactnt LB ad DC. mimitum allas caccemasliplcalam
habere racionem ejus quam habenC KD ad D F, dux quoque excremx: ex sic de
celiquos recletere terpet proponie
veroratio A F ad AH, duplicata eA cami r2
tionis F T ad C FI, quamrarionis AD ad AII,
id eAtbE D ad DH, cum AF, AV, A II
proporionales sinc, raclo L.D ad D Hl, cadem
b1. DCPrC
miba
CTiam AD tuerit media inECF SEpreM ContINUE pFOpOEtIONAlES quarUM exFremX
F1O
Seo ABC parabola axis AR diuiluS H AF, AF, AG, AD, AFL, AI,
AK de concinua stoportionales, d A D media corius serici equa-
lis lateri recto. ductisque ordinacim lineis LL, FMI, CIN, DB, HO, LP,
RC, iungancuE AL, AM, AN, AB, AO, MI, nC.
Dicoracionem AM ad A P duplicaram esC Lactonis AN ad AO ee AI
ad AC rationem eriplicatam eius quans Haber AN ad AO, acqueira de-
Bbb 3
Demon.
inceps in insinicum proceden do invenietur auemencum ruiusrationis.
s u