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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 985, page id 1815201908:1042
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
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VNCVLA CZLLADKICA:
ARS
TF, R T L LL
Expeditis theorematibus qua oncularem quantitalem, e muduuts
eiu (dem concernunt, accredimur hac parte contemplationem superfi-
cier cylindrica qua onculam cineit, quam conabimur ad quadratum
aut rectanculum ipsiaquale reducere, Cs varias eius affectiones no-
tas reddere, quasnon iniucundas existimo futuras L ectori Geometra.
PROPOSITIO XXXVI.
Irculum A B C dividat diame-
cer AC bitariam, quam ortho c
sonalicer lecet BD in F, ducta
percencrum B Iponatur contin
gens BFI, ex quouis in contingence BIY
puncto demittatur FTG patallela BD.
Dico rectangulum BD, BHI aquari
AC, CF rectangulo. F.A Pappi collec
Mach. lib. 5. provol. 20.
Demonstratio. leru
Vngc LD, aucacurque BK ad TTC normalis.
COnontata B E concingic circulum in B puncto,
ex quorecta BI percenerum acta est ex constru-
ctione; isirur angulus IBII rectus cst. sed cciam
rectus est RB F; anguli igituE TBFL, KBD x-
quales sunt: quare dempro communi RBI, X.
quantur AIBK, IBD. Cunc rero e anguliHIRB,
TVB recti, nam YD B in Cemicirculo est; de al-
cero patee ex constructione; rtianoula ioicue
TIKB, BDI similia Cunc. ergo ITB ad BIs ve KB ad B D. ergo rectangulum
FIBD a aequacur rectangulo IBK, hoc est rectangulo AC. CtR. Quod erac do- 216. Sexiso
monstrandums
P ROP OSITIO ZXZVII.
TIrculum ABC COntingat L. B C; demictancurque ex punctis, P, B, C,
Laperpendaaes ad diameerum AC, quae sincL. F, B H, OHI: e BK
Dicorectangulum VL G rectangulo ACFH aquale eAC. F. A P ap -
producatur in D.
pis ibide 
Demon.
   s   gigus u o su t  teeue ut pt  p s t   sut s ste  et a  et t et tott  pe e  te pe pet  a  pi pat e