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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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CONOIDES HLPLRBOLLCYM
9
Demonstratio.
Donacur enim R F paxallela FIF. Ouoniam
angulus B AC rectus ponieur, isieur craul-
verla diamerer ex recta. hyperbolx DF. F X-
quales. suncintor (e. Vnde rectanguluL. HID
aequale eA b quadraco TIF, a rectangulo
LRD aequale RT quadrarum, quia vero
diometer eransuer (2 T. D est parabola DTK
lacus rectum ex constructione; isitur rectan-
gulo FD R aequaEuE quadeatum R I, d rC-
ctangulum T. D HI aequacur IIK quadrato. sed
rectangula L FID, L. R D, aequancur c rectan-
sulis L DFE, I. D R, cum guadearis D HI, D R.
ergoquadeaca PHI, T R aequantur quadracis
RH, TR cum quadraris DII, D R, hoc est cum
quadracis GTI, S R, TUnC eNIm D FI, DR pa-
res GFB R S5. Primis quod angulus CDFI, Cx
hrpochesi sc lemirectus, angulIVCrO S RD;
GHD recti. Cum igitur quadrata RY, FII
aequalia sinE quadracis IR, SR, _EKTI, C II.
igicuE DTFHI ductum in Ic, aequale cA
DTKH ducto in se simul cum DSGFI in SC
ducto, reparet ex dilcursu quadeagesime quin-
ex libei de ductu plani in planum. Sed scurle
habene quadraca F R, F HL, ad bina quadrata
TR, S R ebina KFI OFT, ita se habene circuli ouadratorum illorum lateribus can-
quam radiis descripri. Igitur eriam conoides hyperholicum D F. OF aquale deA d 12G. hn:
conoidi paraboliCoD P NK, Smul cum COnOD O M C. Ouod tuic demonstrandum. 
PROPOSITIO CXCVI.
VINE AB, AC alymprori AGuTX
D DIF cuius axis DF, de diamerer
transuer(a D FI. Consticuca deinde AC
quecum axe AF angulum lemirectum
constiruat, ponatur eidem AC paralle.
IaDM O: deinde pOnaEUE D F. F hy-
Perbola cuius a(ympTOTOS AC, e lacus
tranluertum FID, d Simul Ponatur pa-
Fabola DLF, cuius latus rectum quo-
que sic DH, eandem AaE VE FF. ad
FL, ita FIad FIE, d per puncta
DK delcribacur linea, ponacurque
DNparallela AO, e circumvolurio
DIE, DKF, DNF producar conides
ee conum, cuius bales circulares line
IT, KK, 1S.
Dico conoides hyperbolicum DIY
aequari conoidi parabolico DKK (-
mul CUM CONODPNYS.
C3 secuna