Archimedes
,
Archimedis De insidentibvs aqvae
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[Figure 31]
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[Figure 32]
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[Figure 33]
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[Figure 34]
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[Figure 35]
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[Figure 36]
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[Figure 37]
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[Figure 38]
Page: 46
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DE INSIDENTIBVS AQV AE
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ſunt productœ, quœ
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a, q, a, z, æquales por
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tiones auferétes, pa-
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lam ꝙ æquales fa-
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ciunt ad dy ametros
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portionũ, ad buc au-
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tem & </
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l, s, p, w, e, æquales
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ſunt anguli ꝗ apud
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unsure
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l, w, erunt, ets, b, e,
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b, œquales. </
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et quœ, s, r, e, r, œqua
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les & </
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quœ a, t, b, i, et quoniā eſt
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dupla, quœ y, p, ipſius y, i,
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manifeſtum, quòd minor
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eſt, quœ dupla quœ b, a,
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ipſius a, t. </
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y, dupla ipſius y, t, & </
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pulata protrabatur, quœ
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y, b, t. </
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grauitatum totius qui-
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dem, K, eius auté quod
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intra bumidumy, eius au
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tem quod extra in linea K, c,
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et ſit c, erit autem propter prœ
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cedens theorema hoc mani-
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feſtum quòd non manet portio,
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ſed inclinabitur ita, ut baſis ip-
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ſius nec ſecundum unum tan-
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gat ſuperficiem humidi. </
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autem cõſiſtet ita, ut axis ip-
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ſius ad ſuperficiem humidi fa-
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ciat angulum minorem angulo
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f. </
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">demonſtrabitur, Conſiſtat h,
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ſi poſſibile est ita, ut faciat an-
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gulum non minorem angulo f,
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& </
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quœ in tertia figura. </
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ter autem demonſtrabitur, </
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