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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 336, page id 1815201908:0393
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.80
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 1.  1  1 ai1
LVIPSIS.
836
di x
tcc
Sulilaceribus proporcionalibus conEenei recis crian sula iBITUK FOFI, P. LH sunE H-
mitia. Quod etac demonstrancat,
an quam ordinaciiri poraulus quorcunque DF.
CF.C
113. LCS 182CCI PIR IOB OISITIO CLZRVI
mesticia
CI in ABC ellips diameter A C vna coniugacarum equalium: ad
rectat cla aquari quadraris DE
 3. 17)
2dC .p 11 et
Demonsratio.
BOnacle BC alcera diametrorum coniuigacarum
aequalium: cenerum aurem sectionis sIC F: erié
EBitUE AF C rectangulum ad quadratum F. D; ve
AF C rectangulum ad quadracum FB: sed AFi C
rectangulum id est quadracum A F aequarur quadra-
eo EB; cum diamecri sine xquales, rectangulum igl.
TUT AF C de qualc est quadraco DB: quod crac de:
monstrandum.
PROPOSITIO CLXXVII
Ecet AB C ellipum una exdiamceris con-
iugatis aqualibus AC; quam in D secet
FD, Tumpeaque FI Flinea que lic xqualis AC, de(cripio-
ApEr A ACircuIO FIL I, auidatur FII in B, ve AC est divila in D,
_ ex Kvormalis erigarue R L.
Dicb F. D, KL quadrara ellc incer se ae qualia.
Ordinac.
Demonstratio.
Veacur coniugataruxqualium alcera F B: sectioniS aureM CeHEruM SIEO, Eectan.
sulum ADC, est ad quadratum F. D, vE A C C rectangulum hoc e Gualla
cum AC. est ad quadracum CB: sed AC, C B quadtara Cune aequalia. isieur e
ADC rectangulum est xequale quadraro E. D: curlum cum FII, AC linex ponan.
cur xquales ee proporrionalicer in D _ R divile, crir AD C rectangulum hoc est
Quadracum E. D, aequale rectansulo HIK I, id est quadraco L. R. Quod erat demon.
Aralcum.
  p ss e . e  e  e    i e   s 1     e  e  1  e e e  e   e us  e e t  es   t Ate  1 .  1  te   e l .  Hu