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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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Itaque quemadmodum Archimedes imere de quancicatibus eo modo dispolicis,
inferimus, nempe quod proporciones omnes limul lumpexe, quae luncincer rariones
corporum Cad F, _ TI ad V, irem raciones corporum HI ad V, ec I ad X, icem Y
adZ, _ R ad X, sinc ad proportiones omnes simul sumpeas quae lunc incer rationes
corporum P ad L, _ O ad M, icem incer rariones corporum O adM, _ R adN,
icem R ad N, ex S ad O, re proporciones omnes limul Cumpea qua lune incer ra-
tiones corporum CZ 2d Ta, _ FIBad V u, icem EIBad V p de Iy ad Xv, icem 17
ad ZV _ K d ad YE, (IINE AA PTOPOTTIONES OMNES SImUL(UMPEAS, QUX PUNEInECEFA-
tiones corporum Px 2d L ~, e O D ad MC, icem Op ad MIB, _ R i adN8, irem
R ib ad N∞, _ Sa ad O8. Ec cum medix proporciones linsulorum agorCgAEOrum
unceciam incer se proporcionales, Ecx omillae intelligantur, mancbicagoregacum
duarum proporcionum vead secundum asoregacum duarum proporcionum, cerrium
ggresatum duarum proportionum est adaggregacum quarrum duarum icidem pro-
porrionum. Sed proporciones lingulas bine rationes constiruune, nempe proporrio
nem incerrationes C 2d T, _ FI ad V, consticmuneraciones corporum CadT, 8
HIad V, e ita de reliouis: itaque quod de proporcionibus inculimus, illud ipsum de
racionibus inferre licebir, Ccilicer rationes omnes C adT, HIadV, IadZ, K ad Y, CHC
ad raciones omnes corporum P adL, 9 adMI, R ad N, S ad O, verationeS COrpOrI
CZ 2dTa, EI B ad V u, Tr ad ZV, R d ad XZ, lune ad omnes rationes corporu P X ad
L v, ODadMC, R it ad N0, Sc adOo. Scd omnesrationes corporu C ad T, TT ad V.
TadZ, Kad Y, ica lunc constiturae ve corpora C, HI, I. R sinc cermini ancccedentes
COrPOTAVeTO T, V, X. Y Snctermini consequenres, icem raciones P ad L, 9 2dMI.
R ad N, S ad O, ica LUnECONCtIEHEX VECOrPOra P, 9. R, S Hnc antecedentes ter-
mini, COrpOTa VerO L, MI, N, O termini consequences. Idem aurem in aliis rario-
nibus obleruacum est re semper corpora CZ, HIB, Ir, Rd ancecedencium vices
COrPOTAAUEEM TA, V u, XV, YE consequencium locum obcincane, vei ee in vlcimo
agoregatoracionum obseruatum cAt, recorpora Pn, QD, R i, Sao ancccedentes line
Termini, COrDOTA AUECM. L a MTe, N0, Ob sinc termini consequences. Ieaque racio
ooresac corporum C, TI, I, K, ad aggregacum corporum T, V, X, V, eA adracio-
nem agoregacicorporum P, , R, S ad aggregata corpora L, MI, N, O, veracio 28.
oresatorum corporum CZ, HIB, IY, K d, ad agGrCSAEA COrpOTA T A. V u, Z V, Y Z Ct
ad rationem axoregatorum corporum Pu,  P, R Y, S co, 2d aBBFCS ACa COrpOrA L. a,
M8, No, OV. Quoderac demonttrandum.
decur esse ad proporcionem quae est inrer rationes corporum I g ad ZV, _C R d ad
YE, Veproporcio, que estincer rationes corporum R ad N, de S ad O, est adpro-
porcionem, quae est incer rariones corporum R iL. 2d N5, _ S0o ad OB
quo nosproporcionesrationum disposicas ostendimus, ica ee nos de proporcionibus
Ldeiliori