Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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FED. COMMANDINI
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ad priſma a b c e f g. </
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>
<
s
xml:id
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xml:space
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">quare linea s y ad y t eandem propor-
<
lb
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tionem habet, quam priſma a d c e h g ad priſma a b c e f g.
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</
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>
<
s
xml:id
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xml:space
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">Sed priſmatis a b c e f g centrum grauitatis eſts: </
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>
<
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">priſma-
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lb
/>
tis a d c e h g centrum t. </
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>
<
s
xml:id
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xml:space
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">magnitudinis igitur ex his compo
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ſitæ, hoc eſt totius priſmatis a g centrum grauitatis eſt pun
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ctum y; </
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<
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xml:id
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xml:space
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">medium ſcilicet axis u x, qui oppoſitorum plano-
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rum centra coniungit.</
s
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</
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<
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<
s
xml:id
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xml:space
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">Rurſus ſit priſma baſim habens pentagonum a b c d e:
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</
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<
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xml:space
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<
s
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">quod ei opponitur ſit f g h _K_ l: </
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">ſec enturq; </
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<
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xml:space
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">a f, b g, c h,
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d _k_, el bifariam: </
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xml:space
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<
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xml:space
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">per diuiſiones ducto plano, ſectio ſit pẽ
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tagonũ m n o p q. </
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<
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xml:space
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planum ducatur, diuidẽs priſ
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ma a k in duo priſmata, in priſ
<
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ma ſcilicet al, cuius plana op-
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poſita ſint triangula a b e f g l:
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</
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<
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xml:space
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<
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">in prima b _k_ cuius plana op
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poſita ſint quadrilatera b c d e
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g h _k_ l. </
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<
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xml:space
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rum a b e, f g l centra grauita
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tis puncta r ſ: </
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<
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quadrilaterorum centra tu: </
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iunganturq; </
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tes plano m n o p q in punctis
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x y. </
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<
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">itidem iungãtur r t, ſu,
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x y. </
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<
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">erit in linea r t cẽtrum gra
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uitatis pentagoni a b c d e; </
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<
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quod ſit z: </
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<
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">in linea ſu cen-
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trum pentagoni f g h k l: </
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tem χ: </
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<
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cto plano in χ occurrat. </
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<
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punctum x eſt centrum graui
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tatis trianguli m n q, ac priſ-
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matis al: </
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<
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<
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xml:space
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">y grauitatis centrum quadrilateri n o p q, ac
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priſmatis b k. </
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