Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ARCHIME DIS
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dam non minor est proportio, quàm tertiæ & </
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<
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</
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<
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xml:space
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">est enim quadratum m o unà cum exceſſu, quo quadratum n o exce
<
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dit quadratum m o æquale ipſi n o quadrato. </
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<
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xml:space
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">quare per conuerſio
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nem rationis ex 30 eiuſdem, primæ & </
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<
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ior proportio erit, quàm tertiæ & </
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">& </
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ta portio ad portionem eam, quæ est extra bumidum non maiorem
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proportionem babebit, quàm quadratum n o ad quadratum mo. </
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quod demonstrandum proponebatur.</
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<
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<
s
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proportionem eandem, quam quadratum n o ad quadra
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tum p f.</
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<
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_dibus._</
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<
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">Ex quo eſſicitur, ut p ſ non ſit minor ipſa o m; </
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pb ipſa o h.</
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_& </
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<
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bit cum p b inter p & </
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_me explicauimus._</
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<
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portio conoidis rectanguli, quando
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leuior humido axem habuerit maiorem quidem
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quàm ſeſquialterum eius, quæ uſque ad axem,
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minorem nero, quàm ut ad eam, quæ uſque ad
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axem proportionem habeat, quam quindecim
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ad quatuor; </
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">in humidum demiſſa adeo, ut baſis
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ipſius contingat humidum, nunquam conſiſtet
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inclinata ita, ut baſis in uno puncto humidum
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contingat.</
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