Archimedes
,
Archimedis De insidentibvs aqvae
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0011
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LIBER I.
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b, h, e, g, quod eſt ipſius in humido partes autem humidi quæ ſ, in prima py-
<
lb
/>
ramide ſub ſuperficie in qua eſt quæ x, o, & </
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<
s
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xml:space
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">quæ in altera in qua quæ p, o,
<
lb
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ex quo ſunt poſitæ, & </
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>
<
s
xml:id
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xml:space
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">non coutinuæ. </
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<
s
xml:id
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echoid-s88
"
xml:space
="
preserve
">Similiter autem premuntur quæ qui-
<
lb
/>
dem etiam ſesundum x, o, premitur a ſolidot, h, e, r, & </
s
>
<
s
xml:id
="
echoid-s89
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xml:space
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">humido intermedio
<
lb
/>
ſuperfi ie quæ ſecundum x, o, l, m, & </
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>
<
s
xml:id
="
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xml:space
="
preserve
">planorum pyramidis quæ autem ſe-
<
lb
/>
cundum p, o, ſolido r, ſ, c, y, & </
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>
<
s
xml:id
="
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xml:space
="
preserve
">humido intermedio ſuperficierum quæ ſecun-
<
lb
/>
dum p, o, m, n, & </
s
>
<
s
xml:id
="
echoid-s92
"
xml:space
="
preserve
">planorum pyramidis minor autem erit grauitas humidi
<
lb
/>
quod ſecundum m, n, o, p, eo quòd ſecunduml, m, x, o. </
s
>
<
s
xml:id
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xml:space
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">Quod. </
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>
<
s
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xml:space
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">n. </
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>
<
s
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xml:space
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">ſecundum r,
<
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/>
s, c, y, eſt minus ſolido e, z, h, t, i
<
unsure
/>
pſius enim ei quod ſecundum h, b, g, t, eſt æ-
<
lb
/>
quale quia magnitudine æ quale, & </
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>
<
s
xml:id
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xml:space
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">æque graue ſupponitur ſolidum cũ hu-
<
lb
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mido reliquum autem reliquo inæquale eſt. </
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>
<
s
xml:id
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xml:space
="
preserve
">Palam igitur quia expelletur
<
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pars quæ ſecundum periferiam o, p, ab ea quæ ſecundum periferiam o, x, & </
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<
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<
lb
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non erit humidum non motum Supponitur autem non motum exiſtens. </
s
>
<
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xml:space
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">nõ
<
lb
/>
ergo excedet ſuperficiem humidi aliquid ſolidæ magnitudinis Demerſum
<
lb
/>
autem ſolidum non fertur ad inferiora. </
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>
<
s
xml:id
="
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xml:space
="
preserve
">Similiter enim prementur omnes
<
lb
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partes humidi ex quo poſitæ quia ſolidum eſt æque graue.</
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<
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xml:id
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xml:space
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</
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<
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">Theorema iiij. Propoſitio iiij.</
head
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<
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<
s
xml:id
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">Solidarum magnitudinum quęcunque leuior fuerit humidi
<
lb
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miſſa in humidum non demergetur, tota ſed erit aliquid ip-
<
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ſius extra ſuperſiciem humidi.</
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<
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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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">F It enim ſolida magnitudo leuior humido, & </
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>
<
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xml:id
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xml:space
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">dimiſſa in humidum. </
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<
s
xml:id
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xml:space
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">de-
<
lb
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mergatur tota ſi poſſibile eſt, & </
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>
<
s
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xml:space
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preserve
">nihil ipſius ſit extra ſuperficiem hu-
<
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midi, Conſiſtat autem humidum ita, ut maneat non motum. </
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>
<
s
xml:id
="
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xml:space
="
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">Intelliga
<
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tur etiam aliqu pl danum eductum per centrum terræ, & </
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<
s
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xml:space
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">per humidum,
<
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<
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fig-0011-01
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0011-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0011-01
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& </
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<
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">per ſolidamw agnitudmum. </
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<
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xml:space
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">Secetur autem a plano hoc ſuperficies qui-
<
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dem humidi ſecundum ſuperficiem a, b, g, d. </
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<
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xml:space
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">Solida autem magnitudo per </
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