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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 894, page id 1815201908:0951
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3. he
894
PROP ORIFA O. N A L LF A FFS
PR OPOSIFIODZLD AC
Dicorationem A F ad rarionem F H, Cahdem habere proportionem
DOciris rationibus AB, CD AaF BF D ad. C, ita B ad F, Racuaeur quo-
quamhabet latto AB 2d C l.
dIa PFOPOTEIOITALIS MIICCL GHAHEICaTCS AXFP.
Ir
dut . 
Demonstrum.
3 
 Acio AF ad F A FACMCIM L CI
in duplicacaratione eius quam
habet A ad L: cum isieur PrOPOF
cionales ex constructione, sine
uanciaces R,e, l ertercAadt.
a u Coiit
ta rario AF ad Fi A racionem: CA
2d LA racionem, iEa eltratio AB
adrationem C. D. Ouod tuit de.
verobracio AB ad racionem CD,
que F in
vE A ad F , CrBO VE FacIO AF.
Lrero D , Iea B alt 1, d ve HI ad 6, ica F ad I.
Dico Aad I, candem obrinererationem quam P. ad HE.
M2B B Calt LCLLOGEP R OPIO SITIO IX L. I
Acio AB ad ED rationem, SIEVeratio EF ad O HF racionem; Hac
Demonstratio.
Vancioguidem pOnaEuF VE D ad C
racionem elt ve A ad l. Paes oocum
SIE VEHI ad C ICa L 2d R, CrHCCaIH VE F
ad KS ica. FaTIO L. F ad C FI tarionem
donitur aulema  ae B candem
habere proporcionem quam racio, P. F ad
CFI. ergoetram Aaul, Candem racio.
Lita B ad I, orgoctacio AB ad CD
nem habebic quam denominator F ad R
deoaoC. oCal La
dum. 7
ctac
DEF, CH
Dicbrarionem AB ad C actentem ene, tealo .t dd C Hl12.
cionem.
PROBO STTIO. ~XLTF I. KMiiE
 eto lia  ot ti
Incrariones AB, C D similes incer se quemadmodum et rationes
Ba et EL oiteia 3e sid C id cnverois a.2 BC
 at 
 1 1
((p.9 5. .11.
DeMO
iion
180
ne
131