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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 936, page id 1815201908:0993
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7
FU
PROPORTIOHALITATES
Demonstratio.
atia H, R, P. PaFCF CXL MOOI BIOSTCIIO-
num, quociesratio F. K mulciplicac racionem B C, cociesracionem BP mulci
Plicare rationem BM. Duare cum racio BM ponacur criplicara rationis BCi, erie
Demonstratio.
DAcio D ad K, est acriplieatacam
racionis B ad MI. quam rarionis
F ad FI. Erso B est ad ML, VE P ad
TT. Deinderationes CP, F. I sune du
plicare racionum BNI, F FI, quasiam
octondimus esle caldem. Ergo e ipsa
sunt cxedem, liue C ad L, VE F. ad 1.
Dux crane demonstranda.
OF OSILLO CZZEVIIL
IEderine quotuis quanticns A, B, C in conrinua, de afTumatuF qu-
114. ero
_ racio F P criplicata racionis F. C. Duod erac demonstrandum.
PROPOSITIO OLLAVII.
 D,CF, C, de K, I,tL, O.
Inccontinue proporcionales A, B, C, D, _ A, MI, L, KE, icem tocidem
Dico B ellead ML, VE F ad H; _ C. ad L, ve F ad 1.
Ocorariones AZ, BZ, CCemallonCs LC, D, t, CateCH
COMCIMUALC dZa.
Demonstrati.
tco  e aracio btL
licet callobaclaatacioticci
uis atta quanciras L:
ionet L, de
Abia. ErGOFAHOHCS L C, ZB, Z A concinuau Candem racionem B ad C. C onstac ergo
eE B ad C, h
est ve A ad B; raciones isi
inuane caridem ra
UF AZ, BZ, CZ
Deinde rario Z C est adra.
_ rariOZ B, cl
tionem A ad F
ad rarione Z A, VE 8. A adB, hoc eA veB adC
propocumo
PRO.