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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 795, page id 1815201908:0852
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.80
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1BH
li1
etto
Ordi.
que
11
Demonraio.
TN L
att udcclo MlaaDaeLe
IB, ParanesE AF: quibus liB
AC lunete Decurranein EL a isua
ctata BL. Equalia lunc; CB, Ct
id esta quadracis eKS DF. livc
AK, K D, id b est quadeato AD, id
estc quadraco DC, id ct EGu-
dracisvna cum dreccatisus B
bis lunpets. SsCut L. B HdCt 11X
Cc, aquale cu HIL ducto in sc, id clt
cubo, cuius balis est GuacaCuM
lindeo chabencibalim circulum L. AK ec alcirudinem AD. Ouod cras demon- erprici
Acandum.
R OPOSILIO DXLV.
denii
DC, id cst A D quadeacum ec BG plano ducto bis in GF planum, id est cy: c Collisirus
VIrculo ABC inscripeum AC rectangulum A B C D pONaEuF aurem
Lscirculidiameter FHque AD, BC latera rectanguliin scripe ad ari-
sulos sccet rectos; hargi ve tI6, ad C L ita 6 F. ad GF: _ per AL D pun-
Cta parabola delcribatur R K cuius axis (IC F. G3
Dico corpus habens balim KEM et alticudinem C l aequari corpori or-
eo exductu L M in MN.
Demonstrat.
NRNICA MUCAMEML MIHCA R LMONP2-
lrallelae ad F FI. Ouoniam ITC, CL
linex per hypochesim proporcionales
sunc rectis F C, OF, rectangulum F OII
aequale eA rectagulo F C: I: et quia AF D
parabola eHt, rectansula quoque KNO
Exequalia sunc rectangulis L M N, CorpuS
Bisicur habens balim K M ex alcicudine
MO vel CF aequale est L MI plano du-
eto in MN. Duod crat demonstrandum.
+ERCI
646. huine
RO POSILIO CXLVI.
Ildem pents.
LDicoplatium ex L. ductum in alcicudinem lC aequari, LaM plario
ductointe.
Demonsoratio.
Voniam exhytoches est ve H G dd TO SC FF ad F C; dividendo est ve HF
Lid cs F C ad GT; SC F F ad F 9, proportionales isieuE sunC R F, E C+, G I: _L HFKCoI
rabola
ductum in MLO sive C L AquaEUF L M ducco in Sc. Oyod eras demonstrandums  a5. huino.
quia AF D ParabOla eA, prOPOttionAleS h quOqUe SUnE RL, LMI, HI O. quarCI R F uorsa 310
   te  1es   s sta te  e  et 1t e t 1 t t e e    ta 1 1 ) s