Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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eadem ratione oſtẽdetur p y ipſius y f dupla. </
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">Itaque quo
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niam d s ſeſquialtera eſt ipſius _k_ r; </
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<
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">erit b s exceſſus, quo
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axis eſt maior, quàm ſeſquialter eius, quæ uſque ad axem.
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<
s
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">Si igitur portio ad humidũ in grauitate eã habet propor-
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tionem, quam quadratum, quod fit à linea b ſ ad quadra-
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tum, quod à b d, aut maiorem; </
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<
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">in hnmidum demiſſa, ita
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ut baſis ipſius non contingat humidum, recta conſiſtet. </
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<
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monſtratum eſt enim ſuperius, portionem, cuius axis eſt
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maior, quàm ſeſquiaiter eius, quæ uſque ad axem, ſi ad hu-
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midum in grauitate non minorem proportionem habeat,
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quàm quadratum, quod fit ab exceſſu, quo axis maior eſt,
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quam ſeſquialter eius, quæ uſque ad axem, ad quadratum,
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quod ab axe; </
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<
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">demiſſam in humidum, ita ut dictum eſt, re-
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ctam conſiſtere.</
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_ hac decima propoſitione continentur, Archimedes in
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quinque partes diſſecuit, & </
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">] _Hæc eſt prima_
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_pars, cuius demonstr ationem ſtatim ſubiungit._</
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<
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">Etinterdum adeo inclinata, ut baſis ipſius in uno pun-
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cto contingat ſuperficiem humidi; </
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tionibus.</
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<
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">Interdum ita, ut baſis in humidum magis demergatur.</
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_Pertinet id ad quartam partem._</
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<
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">Interdum uero ita, ut ſuperficiem humidi nullo modo
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contingat.</
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">] _Hoc duobus item modis fit, quorum unus in ſecunda,_
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_alter in quarta parte explicatur._</
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<
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grauitate.</
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_nem habet ad humidum in grauitate._</
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<
s
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">_Conſtat igitur k c maiorem eſſe, quàm quæ uſque ad_
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_axem.</
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<
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