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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 556, page id 1815201908:0613
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DEdIS
TI Y B P R BO
usdilconiusataesse amcero BFi. 
Demonstratio.
UF AD pataHIelA BBS OCCUEFENS D FF hypet.
X I D puncco, ex quo ordinacim potatur DF
BF diametrum: _ per O centrum duOatUF L FI, ~
lictans fc Occurrens AD linex in P. quoniam
Dti in oppolicis Ccecionibus, 3d candem diameerum
lc pee ne aguidictanca AC, DF: (cd de AD.
ex Constructione parallele sunc, Patallelontathmum
est D. 3: de quaaraca ordinacim polLaru AO, DR
ualia sinc: igicur _ OO, OR b lincae aquales, ee
riam cst diuita: similicer cum idem de reliquis, ipsi B Li
nini. Pocalletis ostendacul. Pa Malseum else coniugatam ipa BF.
vel n. degg0. 2 rop Dicondiamerrum qua AC lineae Xquidistat.
c. Dofin. 5.
D ese quia PO xquidistat A C, rectA quoque AD in P bita
Corolartnto
ordinatim poluris aequidisten.
dem aequidistare. pacec cum cam CMmmgenres illa quam dlamecri coniusaca,
LOtOd+L10 all
TInE lequitur concingentes per vertices coniurararum diamerrorum duceas, ijs
tre laao aecguateo
ences pet vertlces diammecrorum comusacarum ducla, aid
dCorollso
tiusi
=Coroll. 53.
uius.
Demonstratio.
Tnt HE, GB diamerri con:
Divracx hyperbolarit ABC.
DEF ec per B a P diamCEEO.
rum cerminos contingences
acEX, percinganE ad alImpTO
ei ipES ATIs OB: rCCEXLR.
tos, dico TK, I K lincas aqua-
LKCOnTInGCNTES PeF Verrices
diamerrorum coniugatarum
duccx, ijidem daequidistanc: e
conveniune curna aly mpEoto-
rum inccodem punCEO R. X.
qualeSigICUE TUnE BK, Z F; &
RF, Z B, adcoque d illarum
dupla IR, R L XqualeS GB,
HTF. Duod crar demonstran.
dum.
 n
ne
1
A1. 11. 1