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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1100, page id 1815201908:1157
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110O
QV ADR A FVRA CIR CVZ I
ae aa 
hanais insermientia.
DR OPOSIEIO P R IM A.
Acionis A ad B conequenei cermino B, adiunsatur quanti-
DicomagnicudineM. C addicam B, minuere FALOHCIM A al
3, ac proinde raciore Aad B C minorem esc quam sicratio AB.
Demonstratio.
Lemmata aliquot complectitur variis quadraturis concin-
loc ad
Xelementis constac quod eadem quanciras ad maiorem quancicacem minorem
Lracionem habeat quam ad maiorem: est aurem B cum C, maior quam sic (ola qu2-
cicas B. Tpicur rario A ad B C, minorem habet rationem quam eadem A habCAE
ad solam B, qua cs minor quant tlaque BC, hxc aucem erao acn Hou
concinsirnili per ausmec udncicaris C adueniens ipHB, IBIEUF ACCCHUS Ca 2d
B, dimutuic racionem A adB.
PR OP OS
IIdemposiris:
Dicoguodtanto minor sic fucura rario Aad BC, rarione A ad B,
GUanEO MIHOFEIEqUanCIaS B, Quantitate lC.
aeotbnsetatibi
ad B C, eam habere proportionem ad racionem AB, quam ceciproce habet con-
Nlibro proporcionaliearum Geomerricarum prop. 7. demonstranimus racionem A
sequenssecundum B, al Pe BC. Geaost D GuanaS MMOL CM quasiI
care BC, caoo et ratio Aad BC, rarione A ad B.
AOPOSIT1O III
Aca Ccrario A ad quamuis aliam quanticarem dinilam in B e C.
Dicoracionem Aad B C aequarirarioni AB diminurx per rario
nem, quae oritur ex magnirudine C. ad dica quancicari B.
acdis