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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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HIZPFR BOL A.
PROPOSITIO CCXXXI
Inc AB, BC asymprori hyperbolx DD. ducta vero BH, ponantur
dFC xquidistances alymproco AB: Rane praererea rectis F. D ae qua
les IIC.
Dico CG hyperbolam esse HadeMe B, B Latfip10105.
EXCOn
sa
Demonsiratio.
DAcec demonstratio ex eo quod quemaa
in
modum omnia parallesogramma BFD
et Cc paralle
dum.
sunc incer se aequalia, sC quoque aequantuE
ramma BFTC. Igicur
um ex co. (IC. D D Ayperbola habens
OcOS
tiam eadem de cau-
Ca C Chrperbola Furura2 est habens alym.
pcocos AB, BFI. ud ur a
11 5 ,511NO5 etaB. 
153 2d2.i.
13IEEp HI. P, R O, DOSI.F I, C. 1 L LLL
Fonancur AB, BC. alymprori hyperbola F. F et alympioto BC X.
lelae aequale sque lineis F F.
Dico CC esse hyperbolam cuiusalymprori AB, BD.
quidistene F. P. Ductaver uo Mane D, anELO  Palat.
et
Demonstratio.
1
11d.
113
3ePDN 212B r S.  Est SLC    E S C1 :SLC 1= CTI, ANII
 1 I 10.
AIA cetea
1
1IEAC
3.
1cb
Wet HEISu
ir.s2rnl
mres etIA
t 111) cu
5Vp ie
eit3
CRHLAMMS3327
Ec FE 2A C) crCleanS
a6. huius. J) Veriscetenim parallelis A B aCMPeOTO rectis FHI _c G I, crunc omnia paral
econ-
cossa cins
lelogramma L. P VE aequalia b inter Te; quemadmodum etiam para llelogran
ma P. C Trigitum CClsperbola cstincet asympeocos AB, BD constitura. O uod
vic demonstrandum.
PROPOSITIO COZZXIII.
Inc AB, BC alymprori hyperbolae DD; posirisq; D E parallelis
ImpeocoB, aFL ad LL  Cade La C cclt Dt
dDF.
DICO