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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 910, page id 1815201908:0967
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AD, BC, H
PROPORTIOAALFZAYFS
rollarium.
Inc lequirur dacis cribus quancicaribus A, C, D. 440 11d-
DAC ducta in racionem C D, Producac idenrot-
cio AD duca in rarionem aequalicacis. Sumatur enim B, X
qualis C, per 78. ductus racionum AC, B D producie iden
quod duecusrationum AD, B C. RequirationeS AC, BD.
luncrationes AC, C D (es enim B aequalis C:) ergo ductus
rATIONUM AC, C D idem producit quod ductus racionunL
SITIO LXXIX.
cestratio AD ducta in racionem x qualicaris.
dem posiris: ( 1
10
quodrario A ducta in rationem C. B.
Dico racionem AB ductam in racionem C D, idem producere
Demonstratio.
 C ad D, ica B ad N; erGOra.
eio AB ducta in racionem CD, Pro
ducieracionem AN. cursum AaC VE A ad
D, SiC B ad M. igIcuEa FaciONES AD, C B
incer se mulciplicacae producune rationem
CM. Jam vero quoniam racionem AC
componunt caraciones AB, BC; qua AD.
DC raciones; idem producene raciones
AD, D C incer se mulciplicaca quod ra-
tiones AB, BC. Cedper construction. racio
DC est rario NB, e ratio AD est ratio
BM. ersoeliam rarten M ide producune quod rariones AB, B C. sed rario-
nes AB, BC prodaunerarionem AC, _ rationes NB, B MI producuncrationem
NM. racioncs HC, NM sunc cxdem. Igitur permutando cciam rationes
AN, CM eadem sunc. Aequi suprà ostendirationes A B, C D producere rationem
ANY, ratiOnOS VerO AD, C B producere rationem CM. ersorariones AB, C Didem
producunequodrationes AD, C B. Quod erat demonstrandum.
PROPOSEFIO FZXX.
25chui
tidem politis:
ex ducturationum AB, C D, ec BC. bis lumpEx.
LBredicem prouues ex spucatione rarionum AC, BB, qued
Denohudoba.
laere BadC, Gc D ad B, r2-
eio A ad F, componitur eK
cacionibus AB, BC, CD, DF.
hoc est, quoniam rationes BC,
D
ex construct. lunt cedem, et
rationibus AB, CD, e BC bis
sumprae. ergoracio b A ad P pro-
ducitur ex ductu racionum AB,
C D, ec B C bis sumprx. le d Facic
2 ac