Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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dratum n o ad quadratum p f. </
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<
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">quadratum igitur n o ad
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quadratum p f non maiorem proportionem habet, quàm
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ad quadratum m o. </
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<
s
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xml:space
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">ex quo eſſicitur, ut p f non ſit minor
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ipſa o m; </
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<
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<
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">quæ ergo ab h ducitur ad
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rectos angulos ipſi n o, coibit cum b p inter p & </
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<
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<
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eatin t. </
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<
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">& </
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<
s
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xml:space
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">quoniam in rectanguli coniſectione p f eſt æqui
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diſtans diametro n o; </
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<
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dicularis: </
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xml:space
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">& </
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<
s
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">r h æqualis ei, quæ uſque ad axem: </
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<
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productam ſacere angulos rectos cum ipſa k p ω. </
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& </
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midi. </
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<
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">et ſi per b g puncta ducantur æquidiſtantes ipſirt,
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ad ſuperſiciem humidi perpendicular es erunt. </
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<
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tur, qnæ eſt extra humidum, deorſum in humidum feretur
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ſecundum perpendicularem per b ductam; </
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<
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tra humidum ſecundum perpendicularem per g ſurſum
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feretur: </
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<
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midum mouebitur, donecutique ipſa n o ſecundum per-
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pendicularem ſiat.</
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<
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">_Quare non maiorem proportionem habet tota portio_
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_ad eam, quæ eſt extra humidum, quam quadratum n o ad_
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_quadratum m o]_ cum enim magnitudo portionis in bumidum
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demerſa ad totam portionem non maiorem proportionem babeat,
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quàm exceſſus, quo quadratum n o excedit quadratum m o, ad ip-
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ſum no quadratum: </
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<
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">conuertendo per uigeſimáſextam quinti ele-
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mentorum ex traditione Campani, tota portio ad magnitudinem de
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merſam non minorem proportionem babebit, quàm quadratum n o
<
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ad exceſſum, quo ipſum quadratum no excedit quadratum m o. </
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<
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telligatur portio, quæ extra bumidum, magnitudo prima: </
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mido demerſa est, ſecunda: </
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<
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mo: </
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<
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quarta. </
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