Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE CENTRO GRAVIT. SOLID.
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cta b d in g puncto, ducatur c g; </
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<
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xml:space
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<
s
xml:id
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xml:space
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">protrahatur ad circuli
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uſque circumferentiam; </
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<
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xml:space
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<
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xml:space
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demus c g per centrum circuli tranſire: </
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<
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xml:space
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<
s
xml:id
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xml:space
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lineam a e; </
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<
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<
s
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xml:space
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">lineas b d, a e inter ſe æquidiſtantes eſſe.
<
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</
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<
s
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xml:space
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">Cumigitur c g per centrum circuli tranſeat; </
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<
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xml:space
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<
s
xml:id
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xml:space
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">ad punctũ
<
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f perueniat neceſſe eſt: </
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<
s
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">quòd c d e f ſit dimidium circumfe
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rentiæ circuli. </
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diametro c f erunt centra gra
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medis.</
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uitatis triangulorum b c d,
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a f e, & </
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note
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quibus conſtat hexagonum a b
<
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c d e f. </
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<
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ipſa c f eſſe circuli centrum, & </
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<
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centrum grauitatis hexagoni.
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</
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xml:space
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">Rurſus ducta altera diametro
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a d, eiſdem rationibus oſtende-
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mus in ipſa utrumque cẽtrum
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ineſſe. </
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<
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tis hexagoni, & </
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<
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gulum in circulo deſcriptum:
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</
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& </
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<
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">iungantur c e, b f, a g: </
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<
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uiſa autem c e bifariam in pũ
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cto h: </
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<
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xml:space
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<
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xml:space
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">iuncta d h produca-
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tur in k. </
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<
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xml:space
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ſtrabimus in linea d k eſſe cen
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trum circuli, & </
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<
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uitatis trianguli c d e, & </
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<
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xml:space
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peziorum b c e f, a b f g, hoc
<
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eſt centrum totius heptago-
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ni: </
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<
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<
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alia diametro cl ſimiliter du-
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cta contineri. </
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<
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<
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centrum circuli in idem punctum conucniunt. </
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<
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