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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 656, page id 1815201908:0713
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6
HYDER BOL A
Demonstratio.
DOnatur quicunque circulus R P. MI quem
ConTinGAE N L _ recta NO normalis
ad OM parallelam e L MMpCICaCt.
aam OM secundum rarionem A C ad
CD. divila deinde NO in PP, veest di-
nita DF. in L hancquadrata P R aqualia
rectangulis S PO, oltedimus puneta L RR
ese ad candem hyperbolam. quia vero elt
OR ad RX, ve AC ad C Z, cric quoque
Ok ad AC, vc R = 2dC L hoc. cX
ad F Z3 _ vE R X ad C 2, ita OX ac
A Z, hoc cA P V ad F T, ica quoque c
SV ad GT, ve demonstracum est libro
bu- de cMlipHr. Igitur ve SV ad GT, ica PS ad F C. icaque rectangula G FHI Ami-
1. D.
lia rectangulis S P Oixitur ve rectansula GFII ad SP9. ica quadraca LI da
P.R quaataca. sunc aurem P. R R. ad hyperbolam igicur eriam B II Cuncadhyper.
bolam. Ouod tuic demonstrandum.
PROPOSITTO CCXXXIX.
InE A B, A C. TCIMTARES CIMPICOM C AB; SC ve AB prima aqualis siE
de ex Brella erigantur BD, parallela AC, aequales aurem la-
Dico puncta DD cscadhy.
perbolam cuius alymprorisune
AC, AB.
Demonstratio.
oniam DD laterious recs
vellipleon xquales (unE reCtanBU.
reribus lectisempscon.
draro AC adeoqued cer(c. unde punctas Cao asi.
Ia ABD Singula xqualia Luncb qua-
coli A C, AB.
  e   e  u e M se pete site e  1. l .  e tet         et u te t  te e te qut se e  e es e ee e  e  t  tet ete t 
P R O