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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1098, page id 1815201908:1155
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.87
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1098
Condioes Aretaote
Concnno hunc librum  qu atd parabolae, quae drversa omnino est a quadra.
curis is, quas dedimus libro quintohuius operis.
PR OPOSTTIO. CCV
Llaoolam ADB, Cucuo aato i D ocnacm su ancu poria
Dico rectangulum parabola sesquialcerum cNc.
Demonstratio.
AD, contineat reccangulum BD AC.
Prop. 165. T) Veatur diamerer HY O. Semontracum est in libro ductuum. Colidum quod sie
ex ductu crianguli AG B in le, hoc est prramidem cuids balis cHt. quadratum
BC aicudo BD, aequari solido quod tr ex plano C L, auclo in alcicudinem BD.
ergo solidum quod hc ex C: I, in BD alricudinem, _e prramis candem habeneratiO-
nem ad FTC rectangulum ductum in candem alcicudinem BD. Sed prramis illa
cuiusnimirum basis est quadrarum B G, alcicudo BD, est solidi quod sic ex ductu
67. Anoncc. rectanguli C TI in alcieudinem BD, cercia bpars. ergo et lolidum quod l 
in alcicudinem B D est cerria pars Colidi, quod Ac Cx C+ FI, in alcicudinem BO: led
haec Colida luncincer se rebales. ergo mixcilincum planum C T, est certia pars rectan-
suli HO, livc BD AC, rectanxulum ixicur BD A C parabola tesquialcerum ett.
Cuod erac propolirum.
LrnoLis.