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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 587, page id 1815201908:0644
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Dr.
du.
ulm
es
ales
uid
tiar
cum
lest
1Ma
10
est
161
16.
lX.
N
um
26.
em
le
+
M
HX L LRBOL A.
Demonstratio.
FRianigulum ABD aXquale CA
criansulo AHIB: ablacoisicur
communi erraigulo AFIO, manec
AOF criangutum, aequale qua-
dellacero BDOII: addico isitur
communi DF, erit IIBDF
Ceomencum aequalo fgura mixcili-
nCX D A F. Umilicer octenduneut
ASUTA F ACF, GAF aquari se
BIMEHAS PHICBIK C+ F: quod c-
ratprimum. Vndecum seomenta il.
la agualia poltancur, pacec e Rgu-
raS. D AE, LLO G AF quoque
incer le aquali. Dux erane demonstranda.
11.
eR OPOSITIODAI
InE AB, A C al PLOLLH Pet VOIa L L. PENcIIG BF, DE, FG, F. C,
uxe alypcoris aequidistene:
oDB sedmencum aequari tegmenco L L C. 6.
Demonstratio.
Equalialuneb rectanduta eB: CD.
Laddico ixicur communi F L K, COn-
AaC F F C C Aguram, xequari AgurX
FF D B. Duod erat demonstrandum.
PR OPOSTEIO CXII.
Ato scgmento concallo
avL. Dalallaotacctois
alympeccorum incetcepo aua eguaic caole, quod ad dacum pun-
Aum pescineat.
constructio es demonstraci.
LAC BF, FC alympeori hyperbola
oporceat seomeneum coneauum ext-
Bere, quod equale sC A B CD CcgmE
co, cuius vrum lacus ad FI perrincacs C
tincve CF ad BL, Hc FK ad F
ponaturque GI aequidistans HIK:
CF ad FB, Iaet AB au DC: quare ADCB scxmencum, aequale est sesmen- iuo.
1O TFIK C. Factum isirur est quod perebatUT.
DADH, e dacum sic leomencum
COHCAVUM ABCD; de punctum II. B
POlica FTR parallela alimpEOcO B F;
Dico factum elle quod pericur. estenim
TG ad FTK, veC FK ad FC, id est Y
PR O.
11I
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