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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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ATVR A CTF
VI
Anencibus sjidem.
Dico quod proporcio quae elt incer rationem aggresari corpo.
Fum M L, K, I, ad agores atum corporum R, S, T, V, e incer rationem ag-
Bresaticorporum X, L, L, a, ad aggregacum corporum O, P, O, N, cadem
sic cul proporrione qua ell inter agoregarum corporum Ma, L. d, Lr
B, ad aggregatum corporum R8, 50, Tn, Vn, e incer rationem aggre-
saci corporum XB, P P, L. Ya, ad agoregatum corpOr O , PE, OV, W .
Demonstralio.
DPHCIEUESUS VIZ HaNE pTOPOMTIOHEM ACIONIEFABIUS. LRIMRCHEPEF PEOPOL. LC-
cundam de Conoidibus AcMM: Secunda per prop. Lemmacicam 54. luius libri.
Prima icaque Ha dC demontrabimis. Rario corporum M ad R, ad rationem cOrPO. per Corol
rum L ad S, a est veracio corporum Z adO ad rationem corporum Y ad P. Icem 2. prop. 107.
eodem modoratio corporis L ad S ad rarionem corporis R ad P, est veratio cor- huim.
poris Y ad P, est ad rationem corporis Z ad O. Denique racio corporis R ad T ad
racionem corporis I ad V, cA veracio corporis Z ad O, est ad tacionem corporisco
ad N. Aeque sic primam Archimedei Theoremaris parrem absoluimus.
Cum vero ostensum cb quod raclo corporis MI a 3d R B, eadem sic cum rarione BPer de-
constrata
corporis X0ad Q_ demonstracum vero scceriam quodracio corporis M adR, Ca - prop. 106.
dem sic cum racione corporis X ad 9. erlam spermucando rario corporis M ad R, ad huius.
Per 105.
rationem corporis MIX ad RC, crit veratio corporum X ad9, cst ad FatIOHCMI COF. hmius
porum XB ad 9W. Fodem modo ostendecur racio corporis L ad S, ad racionem d Per 44.
corporis L dad S8 esse, veraris corporum Z ad P eHt ad rationem COrpOrum Y D Proporc.
ad PE: icemrario corporis R ad T, ad racionem corporis Ry ad Fu, erir ve racio
corporum Z ad O estadrationem corporum Z ib ad Or. Denigue racio corporum
Pad V, ad rationem corporum LB aet Vn, eris verario corporum co ad PY, est ad ea-
sicuripse recté infere quanticares aggregari primi ad omnes aggresari secudi eMeve
omnes guantieares cerrii agoreraci lune aclomnes quancieares aggregaci quarti, ita e
nosinferimus omnes rariones COrpOruMad R, L adS, K ad T, Tad V Choc estratione
aporeonticorporum HI, T, K, Iad aggregacum corporum R, S. T, V) cAe ad omnes
rationes corporum X ad 9, Z ad P, Z ad O, c ad N (hoc est ad racionem oggresari
COrpOTUM L, L, L CAdABBEEBACUM COrpOTUm Q. P, D, H) VEONeSTatIOnES COT.
POrum
tionem corporum c a ad NVu.
Tgitur cum lx rationes omnes ica mpea e ret suaetaces ap eelle,
(     uon               1. 1. . .   e              m u m