Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ARCHIMEDIS
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ductæ ſunt à baſibus ad portiones lineæ a n, a q, quæ angu
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los æquales continent cum ipſis baſibus, eandem propor-
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tionem habebit q a ad a n, quam l a ad a d.</
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_pra demonstrauimus_.</
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<
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xml:space
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_ut l a ad a d; </
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<
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">diuidendo, conuertendoq; </
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<
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_d l. </
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<
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">eſt autem a d æqualis ipſi d l, quoniam d b ponitur diameter_
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_portionis. </
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<
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xml:space
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_corum. </
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<
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<
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xml:space
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_parte huius propoſitionis. </
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_ſius k d; </
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a m q l ab extremitatibus baſium ductæ ſint a o, a q, ita ut
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portiones ablatæ faciant cum diametris angulos æquales:
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<
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_Secet linea a q diametrum d b in θ, & </
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_niam in portionibus æqualibus, & </
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_tremitatibus baſium_
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_ducũtur a o, a q, quæ_
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_æquales angulos con_
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_tinent cum ipſis baſi_
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_bus: </
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<
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_utrique ſunt recti_:
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_a θ d inter ſe æqua_-
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_les. </
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_æquidiſtat lineæ a o_: </
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_itémq; </
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_& </
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_triágula igitur p g s_,
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_m y c triãgulis a η d_
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_a θ d, atque inter ſe_
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_ſunt ſimilia: </
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<
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