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]
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_DE INSIDENTIBVS AQVAE_
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autem axis ad humidum faciat angulum minorem angulo b, conſimili-
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ter prioribus demonstrabitur, quod non manebit portio ſed inclinabitur
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donec utique axis ad ſuperficiem humidi faciat angulum æqualem, an-
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gulo b.</
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ſtens humido habuerit axem maiorem, quàm ut habeat pro-
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portionem ad eam, quàm uſque ad axem, quam habent quin
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decim ad quattuor demiſſa in humidum ita, ut baſis ipſius nõ
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tangat humidum, quandoque quidem recta conſiſtet, quin-
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que autem inclinata: </
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<
s
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xml:space
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">quandoque quidem ita inclinata, ut
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baſis ipſius, ſecundum vnum ſignum tangat ſuperficiem hu-
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midi: </
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<
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">hoc in duabus diſpoſitionibus faciet: </
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</
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<
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">ita inclinata conſiſtet, ut baſis ipſius ſecundum ampliorem
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locum humefiat: </
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cundum vnum tangat ſuperficiem humidi. </
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portionem habeant ad humidum in grauitate fingula ho-
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rum demonſtrabuntur.</
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<
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midi ſectio in ſuperficie ſit quæ apol. </
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<
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& </
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K, ita ut dupla ſit quæ b, d, ipſi K, d, ſecundum c, autem, ut quæ b, d, ad K,
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c, habeat proportionem, quam habent quindecim ad quattuor. </
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igitur quòd quæ K, c, eſt maior ea, quæ uſque ad axem ipſius autem K, r,
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ſit hemiolia, quæ eſt autem, & </
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puletur autem ipſa a, b, & </
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">ipſa c, e, recta producta ducaturq́ue e, Z, æque
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diſtanter, ipſi b, d, & </
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<
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b, ſecta in duo æqualia penes t, duca-
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tur æquediſtanter ipſi b, d, quæ t, h, & </
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<
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quæ a, e, circa dyametrum e, Z, & </
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milis ſit, quæ a, e, i, a, t, h, portioni a, b, l, deſcribetur autem quæ a, e, i, co-
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ni ſectio per K. </
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e, i, ſecet, ſecũdum y g, cum per y, g, ducantur æquediſtanter ipſi b, d, quæ
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p, y, q. </
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quæ p, x, o. </
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tres quædam portiones quæ apol. </
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ctionibus rectangulorum conorum rectæ, & </
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@angentes ſuper pnamquanque baſem a, b, n, autem ſurſum
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ducta eſt, quæ n, x, p, n, o. </
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