Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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æqualibus, & </
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<
s
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">ſimilibus, a p o l, a m q l ab extremitati-
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bus baſium ductæ ſint a o, a q ita, ut portiones ablatæ
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faciant cum diametris angulos æquales; </
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<
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<
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">anguli, qui
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ad y g: </
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<
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xml:space
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">lineæ y b, g b, & </
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<
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</
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<
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">quare & </
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<
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xml:space
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<
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xml:space
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<
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xml:space
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niam igitur m u minor eſt, quàm dupla u n; </
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<
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ſius z t minorem eſſe, quàm duplam. </
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ω t: </
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<
s
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xml:space
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">iuncta α k ad e producatur. </
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<
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xml:space
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">ergo totius quidem por
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tionis centrum grauitatis erit puntum κ; </
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<
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">partis eius, quæ
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in humido eſt, centrum ω; </
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<
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">eius uero, quæ extra humidum
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in linea k e, quod ſit e. </
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<
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xml:space
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">Sed linea k z perpendicularis erit
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ad ſuperficiem humidi. </
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">quare & </
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<
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">lineæ quæ per puncta e,
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ω, æ quidiſtantes ipſi κ z ducuntur. </
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<
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xml:space
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tio, ſed reuoluetur ita, ut baſis ipſius ſuperficiem humidi
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nullo modo contingat: </
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<
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gens, ſurſum fertur ex parte a. </
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tionem conſiſt ere ita, ut axis cum ſuperſicie humidi faciat
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angulum maiorem angulo χ.</
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nem habeat; </
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<
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iorem uero, quàm quadratum x o ad b d quadratum.</
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<
s
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">] _Hæc_
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_eſt ſecunda pars propoſitionis, quam aliæ deinceps, postea ipſarum_
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_demonstrationes eodem ordine ſequuntur_.</
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<
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<
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proportionẽ habeat, quàm quadratũ f p ad quadratũb d.</
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_Hãc quartá parté nos reſtituimus, quæ ĩ trãſlatione deſiderabatur_.</
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</
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<
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">Erit ψ maior quidem, quàm x o, minor uero, quàm ex-
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ceſſus, quo axis eſt maior, quam ſeſquialter eius, quæ uſque
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ad axem,] _Sequitur illud ex decima quinti libri elementornm_.</
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<
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tũ eſt o gipſius g x duplam eſſe.</
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_exijs, quæ nos proxime in ipſam conſcripſimus_.</
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<
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