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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 891, page id 1815201908:0948
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89
OME TRLCARVM
SF CV
ND F
Desimilitudine proportionum inter ratira sexistentium.
CASe
PROPOSITIO ZXXI
ACX HNETatIOneS A ad B, e C ad D.
Dicorroportionemracionis AB ad C D rarionet, compoli-
tam esse, ex ratione Aad C, de ratione D ad B.
1Er C de 
Demonstratio.
tat MD ad C, ica B ad F. erie igitUE
aFatiO AB ad C D racionem, ve A ad
F: Sedratio A ad H, COMPONIEUE CX F2-
cione A ad C, & C ad R, igicur _ pro-
Porcio racionis AB ad CD rarionem
componieur exratione A ad C, et Cad R: quia vero ex construct. est D ad C, ve
B ad F, eric quoque D ad B, ve C ad F. isicur racio Aad P, compolica est ex racio- 1
ne A ad C, _ ex D ad B. quare _ A B, racioad rarionem CD, proportionem ha-
bec compolicam exrarione A ad C, e ex racionCD ad B. Quod erac demonstrandu.
IIdem poNIS.
PROPOSITIO ZXZIV.
Dicoproporrionem rationis AB ad C D rarionem, composicam
esse exratione Aad B, e ex D ad C.
Demonstratio.
Lbracio _ ad es illa quam incerscha-
benerationes AB, C D. Sedracio R ad
F. composica est exracione A ad B, _ B
ad F, hoc est D ad C, igieur _ ratio A
I 11VC LLBISLC. CM
B, ad racionem C D, compolicam haber proporcionem exracione A adB, et D ad
C. Ouod erar demonstrandum.
ROPOSITIO ZXXV
Acionum ABC denOminaTOreS(InE E et F, Aacq, ve A ad B, SIC
TM
ROPOEY
ONALITA
Taeve D adC, ia B ad F, exicitaque
b ubid
L ad 6
DicoC CACadF, ve D est adC.
Demon