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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 579, page id 1815201908:0636
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=636
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

D.
AAi.
ioni
quio
C.
110.
cAt,
vde
3L
2
e
C.
um.
et0
an.
e
BB
ob
6D
m.
es
DI
5.
H Y B CA BOL A
E R OP ASITLa XCIV.
IICF. BF, adcancurgue NEI, BC
Onsirura sicliyperbola AB C incer asymprocos DG, DF quibus
saequidittantes ponaneur quacuor linea incet se proporcionases, AC
vico lieuram quadrilateram a CL H, quadrilatet e BF P. C, qualerri
exilteTe.
Demonsrario
BL. equidiccanres asympeoris
qu_ A C, C. F tineis occurrane in
M ex R. ve AC ad HII, sic CF CA
17I, GC LDcit ad, D Ci d vECY
2d BF, Sic. D F adt BF proporrio-
nales TunCisituED G, D C HF, DL.
sicur ve DH rectangulum ad rectangarum DN, SC
caneulum, aequalia aurem suns rectangula b DHI. DB, ilsicur ex rectangula DM, ins.
K aqualia sunc; adeoque _ relidua TM, L Rs quia vero cA vE C A ad GMI, sic
P: C 2d F K, erie quoquere CM ad M A, siC P K ad C H. TeuM M A, HC
CTF rectanculum ad Fectangulum A FI, cuins anmidium est eriansulu AMFI; _
ve LiR ad CR. hC J. B rectansulum ad rectansut C B, Citusimsdium clecrian-
sulum CKB; isicur vE YIC rectangulum ad criansulum AM HL; AC F B CCt a
culum ad criangulum C. RB; e permucando, vel Hcclatolitum ad rectanvoium
FK, SiC AMHI criangulum ad etiangulum CR B. Vide cum C, BF. tellatoula
octena linc aequalia, eriangula quoque AM HI, BK C, ad coquereliqua quadrilate-
ra, suncincer (e a qualia. Quod exac demonstrandum.
PRODOSTTTO ZEV
BF
neulum ad rectan-
DOnancur per E de Blinex IIN
ad BF ex luxpolico; sed ve AG 20
1
culum DK, de permucando, ve, D H ad DB rectangulum; sIC DM ad D R EC- b + L. hb
DOnatur ABC hyperbola inter dlympiotos DL, L. a LaO HL,
aurem AB, IC ditilae sinc bitariam per diametros DL, DMI. e ductre
sine AN, C O, quae aquidistenc alimpeochs.
Dico P ee  esse communes incerlectionesrectarum IA, B Il, l lis
OC, l2 C.
BHI eadem cum rarione C. F ad IKE parallelarum alyniprotis, iuncte
Demonstratio:
2d FTB, HCMD CCILAAD F, IACHNVL
ad N A; e diuidendo, ve TIY ad VB.
sICNP adP A: Smilia leicur Tunc p2.
rallelograInMAFIDN, APB. a iun-
Eta D P, ddiamerrum A B bitariam le-
CaCIn L, QuaTC AN, IIB, DL linca
rum communis incerlectio cAt P: F0.
dem modn ostendetur O communem
esse incerlectionem lincarum PK, DM.
OC. quae tuerume demonstranda.
Ccurrane sibi N A, ETB linex il
P. ipitur ve D A adETB, id eA FIP
C7+. huimiu
aee e se o esta= 15  10 10 20 ea s e   e  e