Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0015
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DE IIS QVAE VEH. IN AQVA.
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loq; </
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<
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<
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xml:space
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lb
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circunferentia partim
<
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extra lineam a b c d, par
<
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tim intra; </
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<
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quæ ex centro quibuſ-
<
lb
/>
dam quidem à puncto
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lb
/>
k ad ipſam ductis eſtma
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ior; </
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<
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xml:space
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">& </
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<
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xml:space
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">quibuſdam mi-
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nor. </
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<
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">Itaq; </
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<
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xml:space
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">ſit circuli de-
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lb
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ſcripti circunferentia
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fb h: </
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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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">ex b ad k ducta
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lb
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linea, iungãtur fk k h e,
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lb
/>
quæ angulos æquales faciant. </
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<
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">deſcribatur autem & </
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<
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">ex cen
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tro k circunferentia quædam x o p in plano, & </
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<
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">in humido.
<
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</
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<
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xml:space
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">ergo partes humidi, quæ ſunt ad circunferentiam x o p æ-
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qualiter iacent, ac continuatæ inter ſe ſe: </
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<
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xml:space
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<
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">premũtur qui
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dem partes, quæ ad x o circunferentiam, humido, quod lo
<
lb
/>
co a b continetur: </
s
>
<
s
xml:id
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echoid-s153
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xml:space
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preserve
">quæ uero ad circunferentiam o p pre-
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lb
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muntur humido, quod continetur b e. </
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>
<
s
xml:id
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xml:space
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">inæqualiter igitur
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lb
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premuntur partes humidi ad cir cunferentiã x o, & </
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xml:id
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<
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quare minus preſſæ à magis presſis expellentur. </
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go conſiſtet humidum. </
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nens. </
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xml:space
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">neceſſarium eſt igitur lineam a b c d eſſe circuli cir
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cunferentiam, cuius centrum k. </
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<
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xml:space
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">Similiter autem demon-
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ſtrabitur, & </
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">ſi quomodocunque aliter ſuperficies humidi
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lb
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plano ſecta fuerit per centrum terræ ſectionem circuli cir
<
lb
/>
cunferentiam eſſe: </
s
>
<
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xml:id
="
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xml:space
="
preserve
">& </
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>
<
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">centrum ipſius eſſe, quod & </
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<
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trum. </
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ius.</
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atque manentis ſphæricam eſſe: </
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<
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">eius ſphæræ centrum
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idem, quod centrum terræ: </
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">quoniam eiuſmodi eſt, ut ſecta
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per idem ſemper punctum ſectionem faciat circuli circun
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ferentiam, centrum habentis punctum illud, per quod ipſa
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plano ſecatur.</
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