Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ioris baſis ad quadratum minoris: </
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eo axis puncto, quo ita diuiditur ut pars, quæ mi
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norem baſim attingit ad alteram partem eandem
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proportionem habeat, quam dempto quadrato
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minoris baſis à duabus tertiis quadrati maioris,
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habet id, quod reliquum eſt unà cum portione à
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tertia quadrati maioris parte dempta, ad reliquà
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eiuſdem tertiæ portionem.</
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<
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">SIT fruſtum à portione rectanguli conoidis abſciſſum
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a b c d, cuius maior baſis circulus, uel ellipſis circa diame-
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trum b c, minor circa diametrum a d; </
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<
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tur autem portio conoidis, à quo illud abſciſſum eſt, & </
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no per axem ducto ſecetur; </
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le b g c, cuius diameter, & </
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datur in puncto h, ita ut g h ſit dupla h f: </
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dem proportionem diuidatur: </
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ex iis, quæ proxime demonſtrauimus, conſtat centrum gra
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uitatis portionis b g c eſſe h punctum: </
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punctum k. </
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