Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE IIS QVAE VEH. IN AQVA.
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_neæ autem a d inter ſe æquales ſunt. </
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<
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_æquales a o, a q: </
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<
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">earum dimidiæ a t a n. </
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<
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">reliquæ t η, n θ_
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_boc eſt p g, m y. </
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_do, ut p g ad m y, ita g s ad y c. </
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<
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_ipſarum dimidiæ b s, b c: </
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<
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</
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<
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<
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">u n, z t inter ſe ſunt æquales_.</
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<
s
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">Quoniam igitur m u minor eſt, quàm dupla u n.</
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_enim m h ipſius h n dupla, & </
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_eſt, quàm dupla h n; </
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<
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">multo minor, quàm dupla ipſius u n_.</
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<
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">Non ergo manebit portio, ſed reuoluetur, ita ut baſis ip
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ſius humidi ſuperſiciem nullo modo contingat. </
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nunc in uno puncto contingens ſurſum fertur ex parte a.</
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_Tranſlatio ſic habet. </
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<
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">non ergo manet portio ſed inclinabitur, ut ba_-
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_ſis ipſius nec ſecundum unum tang at ſuperficiem humidi, quoniam_
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_nunc ſecundum unum tacta ipſa reclinatur. </
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<
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">Quæ nos ex alijs Ar_-
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_chimedis locis, & </
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_duximus. </
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">In ſexta enim propoſitione huius ita ſcribit, ut habetur in_
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_tranſlatione. </
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_get ſuperficiem humidi ſecundum unum ſignum. </
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_propoſitione. </
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_ſis ipſius nec ſecundum unum ſignum contingat ſuperficiem humidi_,
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_quoniam nunc ſecundum unum tangens deorſum fertur ex parte l_.
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</
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_cumperpendicularis ad ſuperficiem humidi, quæ tranſit per ω ad_
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_partes a cadat, & </
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_ſurſum, e uero deorſum feratur_.</
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<
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cum ſuperficie humidi faciat angulum maiorem angu-
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10 χ.</
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_cet in λ, & </
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_tinget eaſectionem in o, ut in prima figura: </
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_lus ad χ angulo ad λ æqualis. </
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_angulo ad θ: </
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<
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_traipſum cadat. </
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