Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ARCHIMEDIS
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_quæ diametrum ſecet in ψ; </
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<
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<
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_v. </
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">Dico angulum a ν d angulo i σ d minoré eſſe. </
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<
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">angulus enimi ψ d_
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_æqualis est angulo a ν d. </
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_riore i σ d. </
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<
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">_Et quoniam angulus, qui ad χ minor eſt angulo, qui ad_
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_n.</
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">]_ Ducantur per o duæ lineæ, o c quidem ad diametrum b d per-
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pendicularis: </
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<
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">o χ in puncto o ſectionem contingens, quæ diame
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trum ſecet in χ. </
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<
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conicoiũ</
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χ æqualis ei, qui ad ν. </
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">ergo angulus ad χ angulo ad σ, uidelicet eo,
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qui ad n minor erit: </
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<
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conicorũ</
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maior eſt, quàm n b. </
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</
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<
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<
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">Ergo æquales faciunt angulos a q, a m cum diametris
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portionum.</
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_dam partem_.</
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<
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">_Similiter demonſtrabitur, portionem, quæ ad humidũ_
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_in grauitate ean-_
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_dem proportio-_
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_nem habeat, quã_
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_quadratum p fad_
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_quadratũ b d; </
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_humidum demiſ-_
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_ſam, ita ut baſis ip_
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_ſius non cõtingat_
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_humidum, incli-_
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_natam conſiſtere_
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_adeo, ut baſis in_
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_uno pũcto humi-_
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_di ſuperficiem cõ_
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_tingat: </
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_ipſa faciat angulũ_
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_angulo φ æqualẽ]_
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Habeat portio ad humidum in grauitate proportionem eam, quam
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p f quadratum ad quadratum b d: </
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