Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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_quare per o ductaipſi al æquidiſtans cadet extra ſectionem ex 17._
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<
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">cum b p producta coibit inſra p. </
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_pendicularis ducta per b cum eadem infra b coibit, at que inter b &_</
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_p neceſſario cadet. </
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">multo autem magis illud idem ſequetur, ſi pona-_
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_mus pf ipſa om maiorem eſſe._</
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<
s
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">Et quoniam p f quidem æquidiſtans eſt diametro, htau
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tem ad diametrum perpendicularis; </
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<
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">rh æqualis ei, quæ
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uſque ad axem, ducta linea ab r ad e, & </
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rectos facere cum linea ſectionem in p contingente.</
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_Hoc ſuperius à nobis demonſtratum eſt in ſecundam buin
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s._</
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portio conoidis rectanguli, quando
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leuior humido axem habuerit maiorem, quàm
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ſeſquialterum eius, quæ uſque ad axem; </
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midum in grauitate non maiorem proportionẽ
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habeat, quàm exceſſus, quo quadratum quod ſit
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ab axe maius eſt quadrato, quod ab exceſſu, quo
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axis maior eſt, quàm ſeſquialter eius, quæ uſque
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ad axem, ad quadratum, quod ab axe: </
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humidum, ita ut baſis ipſius tota ſit in humido;
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ſtituetur ita, ut axis ipſius ſecundum perpendi-
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cularem fiat.</
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<
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qualis dicta eſt: </
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tem ipſa plano per axem, recto ad ſuperſiciem humidi, erit
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ſectio rectanguli coniſectio, quæ ſit apol: </
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