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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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  m  m  11B . 
18. verois
CTR CNLVS.
Demonstratio.
Voniam BD, lince iph D A sune aequales; veluri et
Let D, rectis  D ex hypoches erunc reldux HB, r0-
sduis F A aequales. quare A E F rectanoula, rectati-
sulis BFTC aqualia, hoc est quadrata HI, quadra-
cis E B: aqualeS ISITUE TUNE P B, FII. Quod demon.
eandum fuic.
eROPOSTTIO IX.
circulo LDC, cuius diameter AB, _
Secucrum P circum scriptum quadracum C F;
Det AF ve diametro, deleripeo circule
LHE, percenerum F, linexe ponanturHI, de
per l parallelae rectae AF, occurrentes FC, dia-
metro quadratiin L, rectae vero FD in H.
OniuneuntuE H, A; _ reCX R L, secenc
AB, diametrum in M: Duonia LR
lincx, cangenei GB aequidistanE, CrUNE TM.
anormales ad diameerum AB, acleoque inguli
TME, angulis F IT A aequales; sune aurem d
TF. M anguli, aequales angulis TIF. A, ad rer-
cicem policis, _ F. I linca, x quales rectae DA;
triangula igice TTF A, criangulis IMB lune
aequalia: vnde HIF, lincis RNI, STIA, rectis
ML aequales. Rursum cum L. MI, linex CB X.
quidistene, eric ve GB id BB, ita L M, ad
M F. sunt aurem GB, BF aequales, erBo et
VM EM aequales quoque sunt. Ouare cum
ARI hOC est E B, lineis F I, _E FCCtA LN
ipsiSMF, id est FE, ex demonstratis sine aequales; crune FII lince, ae quales rectis
DICOHL, IEL lineas ICeF se equales eNse.
Demonstratio.
C. K, quol fuic demonstrandum.
15.t V
PROPOSITIO Z
Dico duasillas Pele orthoxonalicer decussare.
Demonstracio.
Vod siper circulorum sele Secancium centra, recta ducta (ic, quam
alcera incerlecer, sectionum puncta coniungens.
let Cs coletistio 
des
Int enim cucculi duo aBC. AlB quocuta
centra F, Fs coniunsac FF recta: _ puncta
incersectionum, recta AB, OccurrenS F si linea
D in G, oporcet ostendere angulos ad Crectos esse.
ducta LiC normalicer ad AB, lecta cric ABbI.
tariam in G; Ced recta gua ex C ducieur, ad F
centrum, diuidens AB bitariam in circulo ADB.
cidem quoque AB orchogonalires inliltic, pacee
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