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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 922, page id 1815201908:0979
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SFF, L
PR OPORYLON A L IFA TES
C. R 51
dc
Demonstratio.
netim
F. Ctansulum a AD a0
B, Candem habCl P10.
porcionem quae cleINcet 12
riones AB ∞ C D, lmiII
cer rectangulum CR ad
EEI rectangulum clE, Vera-
cio OFI ad IR FalioHCM.
Sedproporrioracion 
CD ponitur elle FatO LF
deindepropotcoracionum
esse rariO P MI. igItUE PaFCEPaTIONCM L. F CHC ad LM racio
nem, ve racio tectansclorum AD, C. B ad rationem recans aloum CHE, III. Guod
erat demonstrandum.
Dico rectangulum AL. ad lectangulum , Caudem habere
PROEOSTTIC
proporrionem Gua Uclatsulaut BL dd rectangulum L. C.
Demonorao.
Vod (iABC _ DE F proportionales CINE:
aud
A
D 1C
L
F
exiidem est compolica, nam ratio B ad C, elt cadcM Cm rarione A ad B, X ratioF
ad F, eadem cumratione P ad B, exlrpocheli. ergo cum racio B Li rectanguliad
rectangulum FC composica lic ex iildem rarionibus ex quibus componicur rario
rectanousi A F ad rectangulum D B, Pacec rectangulum AH ad D B, rectangulu can-
dem habere rationem quam habet rectansulum BF ad rectangulum F. C: quod
tuic deronctrandum.
FR OFOSIT
TIDE AB, LF TALIOMESMMMCS HCHC L FatiOneS C D, (,YI.
Dicoprimo rectangulum AD ad CB rectangulum, candem ha-
bererationem quam rectangulum F. HI ad C F rectangulum.1
Secundo rectangulum AC ad BD rectangulum; eandem propOr.
cionem habere quatri F. C rectangulum ad F. HL rectatigulum.
Omponicur enim ratio rectanguli A F adre.
b2a roc.
clanculum B exracionc Add 1, c l. 401.
Smilicer racio rectanouli BF ad F C rectangulum,
 celstdetatt
Voniam similes ponun.
FUETacIONCS AB, L. F, d
rationes CD, G FL. LSIUI
racio AB cA ad C D raric
RCM, VE FATIO L S adrarione
GFF: igieur b rectangulum
AD ad C B, eAt ve rectangu-
lum B ET ad (5F. - 111
Secundorectansulum A L ae D, Latibuta adt C  Ex racionibus
AadB,