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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 564, page id 1815201908:0621
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=621
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.80
# 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.

564
AI Y P E R BOL A.
Corollarium primum.
Hre segnicur: esse quadtatu AR ad L D, ve quadratum G F ad C. B. elt
enim resuautalum EIH auudatu IF, hic HP K B rectangulum ad rectan.
gulum ZL. F, id eAt (p eF 58. huiuS) quacracum L. Id ad quadrarum AK.
ut
EN59.
Corollarium secundum.
INC (EqUITUFA OG, GN AILIDEOLES CRILIOLANE AEa ACcam, Quod HTRB,
LTF F rectangula sinc incer se aequalia: octendimus enim IIB, IF. a quadraca
elle aequalia in lrperbolis qua incer alimprocos ltaruuneur quae ad rectos anpulosle
decustant.
PROPOSITIO LX.
HILG rectanguI.
InE AB, C D asympeori angulum rectum concinentes, ee dux diame.
Lcriconiugara linc L. F, a uastella L. l Callumplo quo-
Dico rectangulum L. L Guddraro K, ee quadrarum L. M aequari
uis D puncto in alimprocormuca  ordinacim.
Demonstratio.
TY E F quadvarum ad quadratum GET, CC BFF rectangulum b est adtredtan.
sarum CLHL. ICa LF, CFTC quadrara lunc aequalia, rectanslum igicur PIP,
ciam CL II rectangulo xquale cA: C aurem F IF rectangulo xquale s qua-
acu LM, a IR quadracu aqualc rectangulo LH: Acccat atum enur
E IF, quadraco YK, X C I. H rectansulo xqualc est quadrarum P. M. Quoderat
ponttrandum.
eROPOSITIO LXI.
perbola ABC, D F F coniugaca inter alymptotOS CFY, GF p0
lica, c adau Porcs L, CIL al ametros CiH, 6l,
impio unce apoot.
Io
 e       se ee t e te e et  t e te et e e te te te 1e te t e te t   e   t ti e t  e  t  t e t te t stit e e tet  ti   i
111