Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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modo hum idi ſuperficiem continget.</
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_gebatur ut baſis ipſius non tangat ſuperficiem humidi ſecundum_
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_unum ſignum. </
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<
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<
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">in ijs,_
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_quæ ſequuntur, quoniam græci οὐδὲ \~εις, οὐδὲ ἓν, pro οὐ δεὶς, &_</
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_οὐδε ν frequenter utútur. </
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<
s
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">ut οὐδ ε ςιν οὐ δεὶς, nullus eſt: </
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<
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xml:space
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">οὐ \’δ ὑφ
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ἑ νὸς,_
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_ànullo & </
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">alia eiuſmodi._</
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<
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portio conoidis rectanguli, quando
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leuior humido axem habuerit maiorem quidem
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quàm ſeſquialtérum eius, quæ uſque ad axem;
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</
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<
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">minorem uero, quàm ut ad eam, quæ uſque ad
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axem proportionem habeat, quam quindecim
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ad quatuor: </
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<
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">in humidum demiſſa, adeo ut baſis
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ipſius tota ſitin humido; </
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<
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">nunquam conſiſtet ita,
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ut baſis contingat humidi ſuperficiem: </
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<
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">ſed ut to-
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ta in humido ſit, & </
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<
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">nullo modo eius ſuperficiem
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contingat.</
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</
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<
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<
s
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">SIT portio qualis dicta eſt: </
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">& </
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<
s
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">demittatur in humidũ,
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ut diximus, adeo ut baſis ipſius in uno puncto contingat
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humidi ſuperficiem. </
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<
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ſam: </
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<
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xml:space
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">ſed reuolui ita ut baſis fuperficiem humidi nullo mo-
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do contingat. </
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<
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xml:space
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">Secta enim ipſa plano per axem, recto ad ſu
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perficiem humidi, ſectio ſit a p o l rectanguli coni ſectio:
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</
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<
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">ſuperficiei humidi ſectio ſit s 1: </
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">axis portionis, & </
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nis diameter p f: </
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<
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">ſeceturq; </
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<
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">p f in r quidem ita ut r p ſit
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dupla ipſius r f; </
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<
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">in ω autem ut p f ad r ω proportionem
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habeat, quam quindecim ad quatuor: </
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">& </
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<
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">ω k ipſi p f ad re-
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ctos angulos ducatur erit r ω minor, quàm quæ uſque ad
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axem. </
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<
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