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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 788, page id 1815201908:0845
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.84
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VCTVS PL A NB
PROPOSTTTO CZZVIII.
TFARB parabole axis CD aequalis lateri recto ccMIOq; Dinteruallo
DDC circulus describatur cuius diametet LIL PaFeF ex FAL. parab. Par a-
bolam cadere coram inera circulum pertetacut ecangulum, lub bali AB
Duo lemicirculum TFI ductum in Cc, corpus producere aquale illi
Demonst.
d alcicudine DC.
quodorirur ex ductu HIH Paladolx in alcicudinem CD:
a _ C
a E _ E X
201. pa. J) VCateuK ad P H Vet C D PAFaILCIX inHNICX GTKFT. Libro de parabolaaoHten.
ailo 22l. LCCh es else proporcionales. igicur b ElR duetum iin lC
AbC ctbathem L C aequatur L duccointe.
PROEOSITIO CXZIZ.
IIdem policis:
 Dico lK planum duccum in alticudinem C. D vel in recrangulum
HIC, aequari Cl ducto in III.
Demonstratio.
DVoniam TTK, TF, GTF propOrtiOnALESSUnE, VE GHF ad THF, sic O F eAt ad FK:
CA5. huius. Lisicur C de C.I duerum in IH xquacur IK dueco in alcicudinem CD.
PROPOSITIO CXZZ.
VICFF parabole axis A A, par larerirecto; Cuper quo de seripro cireu-
nb. LlO DC, gu corus inera parabolam cader) ponacur L A oedinacirm.
9. parab. quae cxqualis exit axi A A. Complero igitur quadrato AG, iunge L D
duccisq recris intinicis, parallelis ad L. A, hac recrangula B AC, xe qualia
sectangulis C A IC. CxiF KLK par abola.
Dico F B duccum in B F ae quari DIE in C A ducto.
b
ctoeto
1124. B
Dentola