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:id
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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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">protrahatur ad circuli
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uſque circumferentiam; </
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<
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">quæ ſecet a e in h. </
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<
s
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xml:space
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">Similiter conclu
<
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demus c g per centrum circuli tranſire: </
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<
s
xml:id
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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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">bifariam ſecare
<
lb
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lineam a e; </
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<
s
xml:id
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">itemq́; </
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<
s
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echoid-s2933
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xml:space
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">lineas b d, a e inter ſe æquidiſtantes eſſe.
<
lb
/>
</
s
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<
s
xml:id
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xml:space
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">Cumigitur c g per centrum circuli tranſeat; </
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<
s
xml:id
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xml:space
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">& </
s
>
<
s
xml:id
="
echoid-s2936
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xml:space
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">ad punctũ
<
lb
/>
f perueniat neceſſe eſt: </
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>
<
s
xml:id
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xml:space
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">quòd c d e f ſit dimidium circumfe
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rentiæ circuli. </
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<
s
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xml:space
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">Quare in eadem
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<
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73
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-01
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diametro c f erunt centra gra
<
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">13. Archi
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medis.</
note
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uitatis triangulorum b c d,
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a f e, & </
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<
s
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xml:space
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">quadrilateri a b d e, ex
<
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<
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xlink:label
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xlink:href
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">9. @iuſdé.</
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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">perſpicuum eſt igitur in
<
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ipſa c f eſſe circuli centrum, & </
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<
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xml:id
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<
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centrum grauitatis hexagoni.
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/>
</
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<
s
xml:id
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xml:space
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">Rurſus ducta altera diametro
<
lb
/>
a d, eiſdem rationibus oſtende-
<
lb
/>
mus in ipſa utrumque cẽtrum
<
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/>
ineſſe. </
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>
<
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xml:id
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xml:space
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">Centrum ergo grauita-
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tis hexagoni, & </
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<
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">centrum circuli idem erit.</
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</
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<
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">Sit heptagonum a b c d e f g æquilaterum atque æquian
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gulum in circulo deſcriptum:
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</
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<
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<
figure
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number
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74
">
<
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0117-02
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0117-02
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& </
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<
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">iungantur c e, b f, a g: </
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<
s
xml:id
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xml:space
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">di-
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uiſa autem c e bifariam in pũ
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cto h: </
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<
s
xml:id
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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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">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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">non aliter demon-
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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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xml:id
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xml:space
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">centrum gra-
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uitatis trianguli c d e, & </
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>
<
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xml:id
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xml:space
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">tra-
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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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>
<
s
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<
s
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xml:space
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">rurſus eadem centra in
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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 grauitatis heptagoni, & </
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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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