Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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fruſtum pyramidis ſit abſciſſum. </
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<
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tradidimus, fruſti pyramidis a d centrum grauitatis l. </
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<
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niam igitur portiones ſpacio o minores ſunt; </
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culus, uel ellipſis a b ad
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portiones dictas maiorẽ
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proportionem, quàm n l
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ad lm. </
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ellipſis a b ad portiones,
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ita a p b conus, uel coni
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portio ad ſolidas portio-
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nes, id quod ſupra demon
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ſtratum eſt: </
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uel ellipſis c d ad portio-
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nes, quæ ipſi inſunt, ita co
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nus, uel coni portio c p d
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ad ſolidas ipſius portio-
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nes. </
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circulis, uel ellipſibus a b
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c d deſcriptæ ſimiles ſint,
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erit proportio circuli, uel
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ellipſis a b ad ſuas portio
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nes, eadẽ, quæ circuli uel
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ellipſis c d ad ſuas. </
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conus, uel coni portio a p
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b ad portiones ſolidas eã-
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dem habet proportionẽ,
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quam conus, uel coni por
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tio c p d ad ſolidas ipſius
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portiones. </
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tur coni, uel coni portionis fruſtũ, ſcilicet a d ad reliquas
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portiones ſolidas in ipſo contentas eandem proportionẽ
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habet, quam conus, uel coni portio a p b ad ſolidas portio
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nes: </
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tiones planas. </
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