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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 712, page id 1815201908:0769
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OVCTYS PLANI
Demonstratio.
1 di vI.
oae
di 
e
i
ait e
InE AB, C D, B F bales continue proporrionales, rectangulorum velcriangulo-
rum G E, TR L M eandem habentium alcicudinem: dico planum O FI ductum
in N aequale corpus proterre illi quod orirur ex plano TK ducro in sc. planui HO
ductum in LM, Parallelopipedum producie, habens planum GFF basim de alcicudi-
nem F F: planum vero IK ductum in se, parallelopipedum producie habens TK
basim ee alcicudinem C D. Sed parallelopipecta illa bales habene alcicudinibus re-
ciproce proporrionales, cum sic ve planum OFL ad LK planum, basis ad basim id est
eo 34. AB, ad C D, Screciproce CD ad FF, alcicudo ad alticudinem; corpus aigieurOr-
ondecimi. rum ex ductu F C in L. MX, X quale cst COEPOTI, OrtO ex LK ducto in sc. Oy od erac
demonstrandum.
e
inni odectdes
ROPOSTFIO IX.
ABCahEcraperiaeria  eadem alticudine constiruea, bales concinue
Aproportionales; lareta vero quae alcirudines cerminane, basibus
aquidistent, de in eadem cum illis lincproporrione.
Dicoprimum craperium, ductum in cerrium, corpus proterre xquale
illiquodemersit ex ductumedii in (c. 1
Demonstratio.
D. F F continue proporcionales: laceravero GTT, TK, LM quxe alcicudines
erminas aGum  LB CD, F F. _ in eadem cum illis line rarione: ab
Co CFB ductum in LF, quancicacem etferre aequalem illi, quam protere FD du
ctum in sc. producta AC, B FI convenianc in NY _ CI, DR in O, HL, FM vero
in P. ve C Fad AB, lic IK est adC D, et L. UI ad P. F, ex hyporhesi, ixicur ve ANB
Exian.
ABEanE AGIB, CTD. E E F Exapexia eria in eadem alcicudite posira bales AB.