Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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quædam recta linea g i, ſectionibus a g q l, a x d interiecta,
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& </
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<
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<
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xml:space
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cto h, & </
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<
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xml:space
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0100-01
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lineam r y in y
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ſecet. </
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<
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bitur g h dupla
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/>
h i, quemadmo-
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dum demonſtra
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ta eſt o g ipſius
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g x dupla. </
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<
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xml:id
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xml:space
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tur poſtea g ω cõ
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tingens a g q l ſe
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ctioneming: </
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<
s
xml:id
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xml:space
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">& </
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<
s
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<
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g c ad b d perpé
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dicularis: </
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ctaq; </
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<
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xml:space
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catur ad q. </
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<
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ergo a i æqualis
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i q: </
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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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">a q ipſi g ω
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æquidiſtans. </
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<
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xml:space
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">Demonſtrandũ eſt portionẽ in humidũ demiſ
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fam, inclinatamq; </
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<
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">adeo, ut baſis ipſius non cõtingat humi-
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dũ, conſiſtere inclinatã ita, ut axis cum ſuperficie humidi
<
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angulum faciat minorem angulo φ: </
s
>
<
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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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">baſis humidi ſuper-
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ficiem nullo modo contingat. </
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<
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dum; </
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<
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<
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xml:space
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">conſiſtat ita, ut baſis ipſius in uno puncto contin-
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gat ſuperficiem humidi. </
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<
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plano ad humidi ſuperficiem recto, ſit portionis ſectio a n
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z l rectanguli coni ſectio: </
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<
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<
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portionis, & </
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<
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xml:space
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">b d in pun-
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ctis _K_ r, ut ſuperius dictum eſt: </
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>
<
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xml:space
="
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">& </
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>
<
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xml:id
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">ducatur n f quidem ipſi
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a z æquidiſtans, & </
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<
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</
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<
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">n s ad eandem perpendi-
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cularis. </
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<
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cam habet proportionem, quam quadratum, quod fit à </
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