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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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QV ADEATVRA CTREVI
Demonstratio.
Proce Fvestad P X. Erso de quadracum p F. est ad quadracum  F, requadra-
cum Fves ad quadracum Fn, sunc aucem hxc quadraca bases Tolidorum A, C, P, L
Ouare cum solida illa aequales habeane alcicudines F r, Fi a, cruncincer se ve quadea-
ca, adeoque solidum A, erit ad Colidum G; ve quadrarum pF. ad quadratum uF,
hioc est ve quadratum Fiv ad quadracum Fx, hoc est ve lolidum P ad Colidum L. F. a-
demerir in exreris demonstracio. PaTeE CrGOPFOPOATuI.
ROPOSITIO LV
Adem manenEC Kgura aNHIIaNEur quatuor que cunque Colida, exem-
spli olaria Colida A, C, C. L quorum bina A e L, C d P, prolareri-
bus habCANE FECTAS  L.n, il Fvqua diametros a B, a d proportionaliter
SCCCnEINF, ex F. Alum aneur aurem e alia quacuor Colida quacunque
exemp. grac. Colica D, I, R, N, modo etiam bina D ec N, I e R, consistane
super rectis diamerros proportionalicer secantibus.
Dicoproportionem quam haberrario Colidorum A _ C, ad rarionem
Colidorum P e L, eandem esse cum proportione quam habec racio Coli-
dorum D de Ladrarionem Colidorum R et HI.
Demonstratio.
Scentum e blactoeodorum A de C eandem ehle cum racione lolidorum B56 unins.
P _ T: ostensum quoque estcrationem Colidorum D ex T. candem esse cumra- cibid.
cione solicorum R et N, ratioigiur Cotidorum A et C, est ad rationem Colidorum P
_ L, verario solidorum B _c P, est ad racionem Colidorum R e N: hoc est proporcio
quam habetracio solidorum A e C, ad racionem Colidorum P et L, endom est cum
pro.
a         e ptet ete e tet u p te   te et t ste e  t et     e a e e t t  tte et ete    t   e   a et    e e  e t   st t 1