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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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PROPORTIONALLTATES
Atam rationem  CL MalOH aetrahere.
Constructio es demonstratio.
Aca Cic rariominor C D, quam ex maiori
racione AB oporceac luberahere. FIaC ve
D ad C, sICB ad F. eric ergo rario FB ca-
dem cum rarione C D; _ quia ex hypochesi
ratio C D minor est quam racio AB, cric _
E B racio minor racione AB; adeoque R MI.
nor est quam A. Cuberahc isitur P CX A, _ re-
Aduum lic F. Dicoracionem F B, ese reliduum
racionis AB, Post subrractam ex ipla rario-
nem CD. Nam rationes F B, IB a Xquan-
DRODOSITIO CZIZ.
. t. lita
EuFratiOnI ipCUS F cum P, (hoC est ipsuS A) ad B. Aequi dempea ex rarionibus E.B,
EB, racione F B, remanetsracio FB. Ergo eriam dempra racione RB, exracione
AB, remanecrario FB. Cedrario F B estratio C D. Dempraisitur ratione CD ex
ratione AB, reMAnCEFaTIO F A. Factumigicur elt quod porebarur.
AcatmLallohem Det dala plicare.
Construotio e demonstratio.
AcaS CaCOHCS AH. CV
musshaEreL. ad , Ia B
adF, cunc enim raTIO A 2d
F, eric productum duarum
racionum AB, CD incer
semulciplicacarum, quem-
admodum propolic. 75. de-
monstranius.
R OPOBTL1O CX X.
incer se mulciplicabi-
ROPOSITIO CXXI.
Acam rationem per dacal alcer mulciplicare.
Constructio es demonsirusio.
Acis rationibus X
CD per se muruo mul-
ciplicandis Rac ve D ad C,
ita B ad F. Dico A ductum
in L exhibere quaelicum.
Nam ratIONUM AB, CD
denominacoros sunt A_P.
se mulciplicari exhibene id quod producune pationes dul  uuO.
ex B huius. quarehiintes
t2O.