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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1020, page id 1815201908:1077
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1020
+ . 2 t 22t2Dtte to
A R S
2
nemam paradolcam considerat; insuper cylindricam onculam e
spharam conferi cum parabola es cylindro parabolico.
PROPOSITIO LXXXI.
asicongula LLDC D, alticudinem habens parem basis dia-
mecro, quam Lecenc plana P. BC, GF HI ad diamerrum recta.
sic aurem ex patabola IIEL, arem habens varem semidiame.
erO F. D, ordinatim vero lubeenlam IL, diamerro AD Xe qua-
lem, diuila deinde IL, Similicerin MI e P, ve AD est in F. e O, ducan-
EUIF MK, PS ad IL orchogOne.
Dicocoramrngulam ABCD elle ad legmencum L BC. HIF. 6, ve
parabola lIE L est ad legmencum M RSP: icem coram vngulam esse ad
legmentum G FHTD, licut parabola est ad legmentum P SL.
Demonstratio.
8. DgA Vm parabola TRL habeac bauim diamerrO AD, _ axem semidiamEErO L. D
Schol. 19. xquata haec alcta in Luum aRCMM, hOC CA in ED, vel EB, aquabieur a semi-
BtoitS.
cum in calee alcldamem; aquabicur lcoemoemene L. BSC McoMI
sciplum, hoc est legmento vngulari E BC FIF C. Acqui Colida parabolica Orta ex
ductu parabola TRL, _ SeGMCnEI MKS P, in communem alcicudinem aXCOS.
uncrebales, hoc est reparabola TK L. ad sEGMENEUM MK S P. ergo eriam rngula
ABC D, est ad leomencum Cuum F BC. HIF C, re parabola IKL. ad segmentum
MKSP. Duod crat demotcraltdum.
circulo ducto in seipsum, hoc est vnpula b A B C D: IECM SeGI EHEHIM MK, SP du-
Alcerius parris eadem eA demonstratio.
PROPOSITIO LXXXII.
Hlecriangulum ilosceles rectagulum A B D cum alcero limili et aequa-
bDE Materhe Pollum. Ctutode bllactam b2 in t, Polilaqui