Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ARCHIMEDIS
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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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">ſuperſiciei autem humidi ſectio
<
lb
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ſit is. </
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<
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xml:space
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">Quoniam igitur axis non eſt ſecundum perpendicu
<
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larem; </
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>
<
s
xml:id
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xml:space
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">ipſa no cum is non faciet angulos æquales. </
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<
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xml:space
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catur k ω contingens ſectionem apol in p; </
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<
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xml:id
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xml:space
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">atque ipſi is
<
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æquidiſtans: </
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<
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xml:space
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">per p autem ducatur p f æquidiſtās ipſi n o:
<
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</
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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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">ſumantur grauitatum centra: </
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>
<
s
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xml:space
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">ſitq; </
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<
s
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xml:space
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">ipſius a p o l ſolidi
<
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centrum r; </
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>
<
s
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xml:space
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">eius quod extra humidum ſit b: </
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>
<
s
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xml:space
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">& </
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<
s
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xml:space
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">iuncta br
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producatur adg,
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0042-01
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quodſit centrum
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grauitatis ſolidi ĩ
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humido demerſi:
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</
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<
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r h æ qualis ei, quæ
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uſque ad axẽ: </
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<
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xml:space
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">o h
<
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autem dupla ipſi-
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us h m; </
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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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">alia fiãt,
<
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ſicuti ſuperius di-
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ctum eſt. </
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<
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cum portio ad hu
<
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midum in grauita
<
lb
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te non maiorem
<
lb
/>
proportionem ha
<
lb
/>
bere ponatur, quã
<
lb
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exceſſus, quo quadratum n o excedit quadratum m o, ad
<
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ipſum n o quadratum: </
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<
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<
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xml:id
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xml:space
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">quam proportionem in grauita
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lb
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te portio habet ad humidum æqualis molis, eandem ha-
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lb
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beat magnitudo portionis demerſa ad totam portio-
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nem, quod demonſtratum eſt in prima propoſitione: </
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<
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magnitudo demerſa non maiorem proportionem ha-
<
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<
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xlink:href
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note-0042-01a
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xml:space
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">11. quin-
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ti.</
note
>
bebit ad totam portionem, quàm ſit dicta illa propor-
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portio. </
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>
<
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xml:id
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">quare non maiorem proportionem habet tota
<
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<
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xlink:label
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note-0042-02
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xlink:href
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note-0042-02a
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xml:space
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note
>
portio ad eam quæ eſt extra humidum, quàm quadratum
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no ad quadratum m o. </
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<
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<
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quæ extra humidum proportionem eandem, quam </
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