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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 926, page id 1815201908:0983
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1222LLLL L F A
ALOML LACEC ARV M
ARS
INT1
Expont ea qua proportionallatibus communia sunt cum
Arithmeticis operationibus.
ROPOSTTIO CXIV
ra sic qua als quanriras AC, vecunque diuila in B, ee alia
Dico rationem AB ad D, una cumratione BC ad D, X
ualem eMerationi AC ad D.
Demonstratio.
 Acio 2 AB ad D, eltad rationem BC 3d D.
ve AB ad B C. ergo b componendo, cacio AB
ad D, una cum racione BC ad l, elt ad Fatio-
AC adV, est b quoque ad racionent BC ad D, ve AC ad BC. Ergo rationes AB
ad D, BC ad D, Simul Cumpex, ex racio AC ad D, eandem proporrionem ha-
bencadracionem BC dd C D. ergorariones AB ad D, BC ad D, SimuL SUMPEX
aequaneur rationi AC ad D. Ouod erat demonstrandum.
P R OPOSTTTO CXV
Lorteat qualuis duas dacas rationes, reducere ad duas ipsis aequales,
qua commune habeant ancecedens.
ROPORTI
itaSD
2. hain
16 hniur.
nem BC adD, ve AB cum BC ad BC, hoc est ve AC. ad BC. Acqui rario
Constructio e demonstracto.
C
Incdacx dux raciones AB
CD, quarum anrecedentes
cermini sinc inx quales, A sCi
cet et C; de Cmilicer comte.
quentes B de V. Bporreacau.
ancecedencem; AAEDEC ad D, Eta A ad F, ratiO A H hMMIS CMC Pationi CD, aC
proinde xqualis. ersorationes AB e AC aGuales lune dacis rarionibus AB, C. D,
 ancecedens commune habent. Du pouaa.
ROPOSITIO CXVI
leguens commune tabcant.
es illis aequales, quae communem habeane cerminum
Porceat datas duas raciones ad duas iplis aqualesreducere que con
Con-