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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 423, page id 1815201908:0480
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MOr
Inc
e
n
e A R. A B O L A.
srm dmonstratio.
Vulacur De eglals lulerirecto, ponaturque
ordinacim C B: dieo B punctum vrum esse in-
cerlectionis. iungatur BD. Ouoniam BO, CD
ordinacim ponuntur ad axems et + D aequalislace.
rirecto cAt, linca C. D. aeualis cA BD: circulus
isicur ceniro D, incernallo DO descriprus eran
sibic per B. eodem modo octendicur, cundein
circulum crantire per R: quod vero perC
ETranseac, anifectum est; extribuimus ipicur
puncta quacuor incerlectionto. Quod erut Pacien.
dum.
LSlEd
erdeositio
sco A B C parabola ap ex A, CEntroque A, AICICan quouis A E cie.
isculus deleribacur P. C. B: oporrer exhibere B punctum mccllectionis
cum patabola. oeu citrio E) L) 11 eit S scB Z. esivin
b.
Constructio es demonstracio. Cine svp  oricoi
Id2 1
DOutoe ALa AH aequalis laceri recto, Posica- l 11. 1139 bC
que per A concinsente A Iua Tirculooccurracin e
quadrato AC: hac aequale rectaroulum FITA; e per Tordi
nacim ducacur I. B: dico punctum B, eAte id quod quaericur.
iunsacur AB. Duoniam IB ordinatim applicaca est ad
axem, _ AH linca aequalis latori recto, quacrato AB, b X-
quale est rectangulum FTIA, Sed FII A rectangulum quo-
que aquale cA quadraco AC, per constructionem; igieur
AC, AB quadraca aequalia tunc. isicur circulus centro A
inceruallo AG, delcripcus; eransir per B. exhibuimus ixi-
cur punctum incerlectionis B. Juod erac postulatum.
NOPOSITIO OXL.IV
MIDMB HAE.LSRMESIB BHISEC
A. A: oporcet exhibere, fulcum aliud incerlectous.
Aneue
Sto A BC parabolae diameter BD quam Ce
ricunque recta quaenis AP, Occurrens parabolx
andiid
criss onstmtio es demonstratio
1102 315II
Vcaur ex A linea AF, ordinatim ac dla-
ecrum; fancque proporcionales BH, BB
BI aPer D, ordinacim ducacur D C, OCCur-
rens F linca in C puncto. quonium igirur
BF, BE. BD, proporrionales sun et A B.l us uoru msgisi sis. H  2 S cemous
ordinaum policae, punctum cC est ad patabo-
LaM. Cieaucem ec C punctum in recta AF. 1gi:
cur C communis incericcoe AP. CL CMM
parabola. exhibuinas t.ac lactCadm
 s  t o rp e ee eis pte ee
   ssise pes e