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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 937, page id 1815201908:0994
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= F O AL E T R IC A.
DOcris duabus A, B. Sumacur media proporcionalis D. Deinde altu-
mMaEuEguIXIIS C.
R OPOS IFIO CXXXIX.
Demonstratio.
Dicoraciones AC, AD, CB, este rresrationes in continua analogia.
2 Acio A C aaClA t C B FAEIONCM pEO-
cur ex ductu AD, in DB, hoc est ex du-
cturacionis AD in sciplam: igicur sCuc le
habec racio AC ad AD cationem, ica
bgnognese habecracio AD, ad racionem
C B. Sunr ixicur eres raciones in concinua analosia. Quod elat demonlteundum.
ducit :a qualem rationem illi quae ori-
Alirci.
J. hact
BColligitu
X
in
4.hu
aAC Brationem, el veD ad C; eandem eroo proportionem concinuant racio-
nes AC, AD, C B. Ouod erac demonstrandum.
ieate
OPOSF=1 CXL.
2 Acio A C ad A Drarionem, est C vE D ad C. racio quoque DB HOc CIt raTIO AD, C7 huius.
d lis lic eue ponatur quas lMel Adb.
Dicorationes AF, C F, F B esse in continua anal0812 
Vinelimiles raciones AB, OD, de inter C e D media proporciona-
Voniam incer similes
Lraciones A
C
POTcR LOnE F d L qua
cirares, sicur  HICu
sadC B, VF eA B D ad F B,
Demonstratio.
sedracio F
C P est ad rationem F B; concinuantcur eandem rarionem AL) C  f B. u0d
1. 3eCset ete s.Fet E S. Oisi
i 2ri
(1
il A 295C
t ROeiO SIFI O C X I. I,: 1 glomCLI
Veer duas raciones dacas A B, C D, mecliami proporciohalem etC.
to ex demonstratio
L 513 1012A: B: :, ( ~ 
atione est eadem cum racione C F, isitur ve est ratio AF ad CF, ita eadem tarie
tuir demonstrandum.  VIC
Constru
Ftacve A ad B, sCF, ad F, ve.
que C ad D, AC F 20
cionalis AIER.
Dicorationem F K ese me.
MaCFraciOneS daFAS AB,
CD. Ouod sic demonstro.
tum incer F, C media PFOPOE
aloLSL DeOI COMLIME
hudud
0.
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