Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ipſi my æquidiſtans. </
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>
<
s
xml:id
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echoid-s2196
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xml:space
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">Demonſtrandum eſt portionem in
<
lb
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left
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xlink:label
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note-0086-01
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xlink:href
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note-0086-01a
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humidum demiſſam, inclinatamq; </
s
>
<
s
xml:id
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echoid-s2197
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xml:space
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">adeo, ut baſis ipſius nõ
<
lb
/>
contingat humidum, inclinatam conſiſtere ita, ut baſis ſu-
<
lb
/>
perficiem humidi nullo modo contingat: </
s
>
<
s
xml:id
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xml:space
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">& </
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>
<
s
xml:id
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echoid-s2199
"
xml:space
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">axis cum ea fa
<
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/>
ciat angulum angulo χ maiorem. </
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>
<
s
xml:id
="
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xml:space
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">Demittatur enim in hu-
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lb
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midum, conſiſtatq; </
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>
<
s
xml:id
="
echoid-s2201
"
xml:space
="
preserve
">ita, ut baſis ipſius in uno puncto cõtin
<
lb
/>
gat humidi ſuperficiem: </
s
>
<
s
xml:id
="
echoid-s2202
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s2203
"
xml:space
="
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">ſecta ipſa portione per axem,
<
lb
/>
plano ad humidi ſuperficiem recto; </
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>
<
s
xml:id
="
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xml:space
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">ſuperficiei quidẽ por-
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lb
/>
tionis ſectio ſit a p o l rectanguli coni ſectio: </
s
>
<
s
xml:id
="
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xml:space
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">ſuperficiei
<
lb
/>
humidi ſectio ſit a o: </
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>
<
s
xml:id
="
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xml:space
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">axis autem portionis, & </
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>
<
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xml:id
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xml:space
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">ſectionis dia
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meter b d: </
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<
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xml:id
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xml:space
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">& </
s
>
<
s
xml:id
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xml:space
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">ſecetur b d in punctis k r, ut dictum eſt: </
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catur etiam p g æquidiſtans ipſi a o, quæ ſectionem a p o l
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lb
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contingat in p: </
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>
<
s
xml:id
="
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xml:space
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">atque ab eo puncto ducatur p t æquidiſtãs
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lb
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ipſi b d; </
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<
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xml:id
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xml:space
="
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">& </
s
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<
s
xml:id
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">p s ad b d perpendicularis. </
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>
<
s
xml:id
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"
xml:space
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">Itaque quoniam
<
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portio ad humidum in grauitate eam proportionem ha-
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bet, quam qua-
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xlink:href
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dratũ, quod fit
<
lb
/>
à linea χ ad qua
<
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dratum b d: </
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<
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xml:id
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xml:space
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">quã
<
lb
/>
uero proportio
<
lb
/>
nem habet por-
<
lb
/>
tio ad humidũ,
<
lb
/>
eandem pars ip
<
lb
/>
ſius demerſa ha
<
lb
/>
bet ad totã por
<
lb
/>
tionẽ: </
s
>
<
s
xml:id
="
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xml:space
="
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">& </
s
>
<
s
xml:id
="
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"
xml:space
="
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">quam
<
lb
/>
pars demerſa ad
<
lb
/>
totam, eandem
<
lb
/>
habet quadra-
<
lb
/>
tum t p ad b d
<
lb
/>
quadratum: </
s
>
<
s
xml:id
="
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xml:space
="
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">erit
<
lb
/>
linea ψ æqualis
<
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ipſi t p. </
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<
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">quare & </
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<
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">lineæ m n, p t; </
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<
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xml:id
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xml:space
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">itemq, portiones a m q,
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a p o inter ſe ſunt æquales. </
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<
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xml:id
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xml:space
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">Quòd cumin portionibus
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<
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xlink:label
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