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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 881, page id 1815201908:0938
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GF O M L LRIC A.
PROPOSITIO 11.
Pratio AB ad C D, FueriE vE D ad B.
Dico A et C xquales esse.
Demonsitam.
aucem AB, adrationem C D, clt
exhypochelire D ad B: ergo veracio AB ad AB Talioe. Ia eadem ratio AB
ad CD racionem, CUNCISIEUEBQUAHEIEALES InTeF LC a qualeS A e C. u0d TUIE dc. b8. buius.
monstrandum.
PROPOSICIO .
Traclo DauC racionem, sic vitatio AD ad AL LaltOHCIM.
ad DicoB, C e D, E quancirares esse proporrionales.
Demonstracto.
Acio AB ad rationem AD.
est ve a linea D ad B: racio
cionem, cica eA C ad B, l1-
milicer reracio AD ad AF r2-
tionem, ica est F 2dD, scd vi
ratio AB ad A C, ica est exhy-
Pochelixario AD ad AF F2-
cionem, ergo ve C est ad B, ica
F. ad D. quare invertendo ve B ad C, ica D ad P; sunt igitur propotctonales BC et
DF. Quod demonstrandum fuir.
eROPOSITIO XI.
APonantur quaenis quantitates A ee B, _ aVX 2. Id C V.
s
Ocoracionem LC esse ad AD racionem, ve rario BC ad BD
Facione.
eesseide
Demonstratio.
a
TFest cacio AB ad AC r2.
R Acio AC ad AD, eA vE
DaddC, ec rario BC 2c
BDrarionem, quoque cAt vE
D ad C, ISICUIE VE FatiO A C
aclacionem A lacube
racio de tD tationem. Sudaluie detohutatililt
.bies
R OP OSIFIO XII.
REx Snteres quaneitates, A, B, C.
d  , sx xario C A ad B A.
EEEE 3
Demon-