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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 617, page id 1815201908:0674
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.77
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edum
M du
DB
x
9u0
im et
Cd1.
MEir.
ru
n
FI X D E R B Cd
cantur alymproris; crunc eriangula a F KB, TL B inter (C X quAl, dC PFOIIACEOTA 2 ex AB. h
Eparabola F. BR, BIC. I ~ qualeS CrUNE. QuIE verO EMI, M LIex aequales sunt F. MB b240.
criansulo, BM IxquacuE: Ced eciam segmenca d conuexa LFM, M FI RQUanEUES Parabola-
igicur etiam parsparabolica B E. M, Parci Parabolica MBI est aequalis, eAtque lc-;
emencum hyperbolicum P F P, bitariam diuilum diamect BM, igicur Tublacis (c- d sbid.
emencistyperbolicis xe qualibus remanene quancicares MXcilinCA FFB, FBI ex
parabolicis hyperbolicis ex communirect a eformarx incet le XGuales: d Gua pats-
bola BF D B aequalis eAt parabole B ID B. igicur etiam mixcilincum Lle mxci-
linco DF I est aequale: est vero mixcilineum DF F ID aquale L u BaIs
DEFD dimidia est figurx D CP, et quarex pal atE DL lA xqualis. Ouod
fuic demonstrandum.
17
eROEOSITIO CLXIZ
Ficet parabola ABC constuca npius, spcvoamI B, d aucte
nE AC, AC occurrcm PeDOIn ld Hl, candem demictaneur
C FCMI alrmpobro parallelae.
parri aequalem.
Dico parrem mideCam GFTIC esse mixcilinci CGHI. GuarEX
Demonstratio.
St enim BCHI aqualis
parcil depopne pecegencem
quemadmodum per candem, sparium C B I quarra est pars quancicaris C B L: est
tu
auteM ATCG, FTR qUaTEA C ParS C FMI O: _ ET A B, quacicas eA quarta parS quan- C 24+. DB
Quodtuir demonstrandum.
rITATIS RMIF L, igicuE GFITC spacium (pacii CKI. C quarte parii exister aequale parabola.
PROBOSTTIO CLXE
InE AB, A C axes parabolarum A OD, AID ad angulos rectoS
consticuri, ec politis DB, D C parallelis, axibus, act age A D pOnatUK
guxuis EF occurrens sectionibus in C X I, de recte AD in II.
417
Dicorationem CF ad IF, esse criplicaram eius quam habet CF ad
emon
   e M  t  e 1        e a e te et ete    e  te e te et t t a  e t  et   e  i t  a e te  s   ute t et  e de et  t  e atie