Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE CENTRO GRAVIT. SOLID.
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noidis ad portiones reliquas, ita alia linea, quæ ſit 1
<
emph
style
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ad
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k e: </
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<
s
xml:id
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xml:space
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<
s
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xml:space
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">& </
s
>
<
s
xml:id
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xml:space
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">ideo punctum l extra por-
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lb
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tionem cadet. </
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xml:space
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figure
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igitur à figura circum-
<
lb
/>
ſcripta, cuius grauitatis
<
lb
/>
centrum eſt k, aufertur
<
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portio conoidis, cuius
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centrum e. </
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<
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xml:space
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<
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xml:space
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">l K
<
lb
/>
ad K e eam proportio-
<
lb
/>
nem, quam portio co-
<
lb
/>
noidis ad reliquas por-
<
lb
/>
tiones; </
s
>
<
s
xml:id
="
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xml:space
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">erit punctum l
<
lb
/>
extra portionem cadẽs,
<
lb
/>
centrum magnitudinis
<
lb
/>
ex reliquis portionibus compoſitæ. </
s
>
<
s
xml:id
="
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"
xml:space
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">illud autem fieri nullo
<
lb
/>
modo poteſt. </
s
>
<
s
xml:id
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xml:space
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">quare conſtat lineam k e ipſa g linea propoſi
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ta minorem eſſe.</
s
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xml:space
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</
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<
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<
s
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xml:space
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">Rurfus inſcribatur portioni figura, uidelicet cylindr us
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lb
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m n, ut ſit ipſius altitudo
<
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æqualis dimidio axis b d:
<
lb
/>
</
s
>
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xml:space
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<
s
xml:id
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xml:space
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">quam proportionem
<
lb
/>
habet b e ad g, habeat m n
<
lb
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cylindrus ad ſolidum o. </
s
>
<
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xml:id
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xml:space
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<
lb
/>
inſcrib itur deinde eidem
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alia figura, ita ut portio-
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lb
/>
nes reliquæ ſint ſolido o
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lb
/>
minores: </
s
>
<
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xml:space
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s
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<
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xml:space
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">centrum gra
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uitatis figuræ ſit p. </
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>
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xml:space
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lineam p e ipſa g minorẽ
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eſſe. </
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<
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xml:space
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">ſi enim non ſit mi-
<
lb
/>
nor, eodem, quo ſupra modo demonſtrabimus figuram in
<
lb
/>
ſcriptam ad reliquas portiones maiorem proportionem
<
lb
/>
habere, quàm b e ad e p. </
s
>
<
s
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xml:space
="
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">& </
s
>
<
s
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"
xml:space
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">ſi fiat alia linea l e ad e p, ut eſt
<
lb
/>
figura inſcripta ad reliquas portiones, pũctum l extra </
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>
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