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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 460, page id 1815201908:0517
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=517
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.76
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460
R A BO+
A
duplicata rarionis RB ad F C, id est A F 2d AV, VGETa F K. D F paraIICIOBTAMMTA
Cunc) igicureriangulum A F B ad ADC, itiangulum; eriplicacam habecrationem
eius, quam habec AFi ad AB. Quodcta dontrandum.
PR O POSTTIOCC
Coroll. 
a5.
e. 83L e
CXXVI.
Acabola AB C. diametrum BD, Sccet in D recta quaeuis AC; po.
cicaque ordinarim C. F, iungantur AB, BC.
ete etaecuttta letltate
sulum, duplicatam habererationem. lnex
AD ad DC.  et esit ct
Demonstratio.
521d tC t. CFB FRB t BBCB
tur ex A et C a An CAl normales
ad diameerum BP. iungAnCuEGuE AF. VE LL
Ac GD cstad DHL, hoc est A C ad C LLtotE
ad DC, sic a BD est ad BF: sed vE AD est ad DC.
racio trianguli ABD ad BC F criangulum, com
ve BD ad BE, sIC AG est ad C FI. est aurem
Pelica exracione BD ad BH, c A6 adCFI: igi-
cur racio crianguli ABD ad BC P criangulum
duplicaca estrationis AD ad DC. Quoderac de-
monstrandum.
31F. 2183B te:
esD. Fit ci
PROPOSTTIO CCXXVIEIC
Aex parabolae cerminara maximum inscribere criangulum.
Constructio es demonstratio.
1(1 1. C. 116. 1S11D1
B 47. B1-
i
6.
DArabolam ABC subcendat guxeuis AC, qua diuisa bitariam in D, ponatur dia.
mecet BD. de iungantur AB, C B. Mocansurum ABCCM Guxlicum. eri-
satur enim quaenis alia C F, Parallela BD diametro: Ouoniam AD C rectanou.
lum ad A GC. b rectangulum cam racionem obtinee, quam DB a C+ F, isicur recta
DB, maior esrecta CF: ergo eciam criangulum AB C, maius criangulo AFC.
ucana eclal ddaatt Ldadeoale obdllut.
e LaEt
citadetalie etd Athele la esllalita Pahalteta talus Ve.tul
cilque De, leemo C cangoum Mctbacur ManMun
AL C, ponalul qe L F, a quidittano A B, et iunganCUE A FD.
Dico
ao  e e is  uue e 1 1 e tet e e t  a e t  e es e  s  e  ute   e  pa ii se e e  e    t   1 t         e  l pe s e 1s