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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 742, page id 1815201908:0799
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.88
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quorum eales lunt rectangula OFIL, Mnicudines GL, Sive TM. similicer corpori
AK C quacaca HIK in le due Meribuur parallelopipeda quorum bales sunt qua-
draca KH, aGualia (ve octen tapla) rectangulis basibus OFTI, alcicudines vero
XN aequalesicem alclcudinibus C: L, ergo omnia parallelopipeda inscripea corpori
AF C F aequancur omnibusparallelopipedis inscripeis corpori AK C. e hoc semper
Cocinscc, liiam negas corpora AF C F, ARC aqualia esle, necesse est alceru alcero
sic minus. POnacuF primDCOrPUS AK C eNC minus COrPOrC A F C F quancieare ali.
qua, quam vocemus Z. Ouoniam liguee ex propolicione 42. huius, ductis semper
pluribus ac plucibus parallelis GKHII, correctangula I. FI, IIM inCcribiposte pla-
nis C F A, C AF, vepatallelopipeda quae ex corum mucuo ductu inscribuneur cor.
Pori A F C F dehcianc ab ipIO COrPOTC AF C F. quancirare minori quam sic daca
quancicas Z, qua poncbATuEdChCErECOrPUS AR C a COrPOrC A FCF, manifectum
eAparallelopipeda inleripra corpori AF C P Fore candeni maiora corpore ARC.
sed parallelopipeda inscripea corpori AF. C I xquancur, ve ostensum lupra, cocidem
parallelopipedis inscripeis corpori AK C. ergo etiam parallelopipeda inCcripta cor-
poti AR C, maiora sunc ipso COrPOTC AR C ParS COTO. Non isituE COrpuS ARC.
minus CACOrPOTC AF C F. Eodem modo demonAraBIEuECOTPUS AF CP. non c(-
Se minus COrpOrC AR C neurrum isitur alcerominus cAt. ergo neccNC CArE SInE X-
qualia. Ouod erat demonstrandum.
Hluiusmodi propolicionis applicationes lectori deinceps taciendas relinquam, ne
iphusingenio ridear distrdere.
AOEOSTTTDXIVIII
emicirculum ABC Cats diameter A C concinsant in A de B, linex
D AO, BD, _ BD qunem parallela ipsi AC, conveniat cum AD in
Dico AD B criangulum ductum in se aequale esseplano BD AF du.
D. lutigancurq acla , B.
cto in planum ADBHC.
monsratio.
Veantur ouoccunque rectae BFOH
Darallela ad cangencem BD, qua
Plana
ve pacet ex elemencis, recta est ad AD.
Triongula AF C. AD B sunc similia, er
B0 quadraca A F. Cunc ad quadraca P C, V
adeaca AD ad quadeaca DB. sed
quadraca AD, DB Xquantur, Cr8O dC qu3
deaca AF, hoc est rectangula LF II, X
quateu Gudcrabs L. Cum ixicur ceia