Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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GB, & aquam OMRS deſcendentem eſſę
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maiorem aquâ CDFE deſcendente. </
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<
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>Nam ſi KV non eſt maior quàm AH,
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ergo aut æqualis, aut minor. </
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>Sit æqualis: er
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go quia HG & VN æquales ſunt ex hypothe
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ſi, & VK ipſi HA æqualis dicitur, etiam
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reliquæ KN & AG, hoc eſt OS & CE, æqua
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les ſunt: ergo aquæ OMRS & CDFE æqua
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lem habentes altitudinem ſunt inter ſe vt
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baſes, hoc eſt vt ſuperficies OM & CD. </
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<
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qui ſuperficies OM maior eſt ſuperficie CD,
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ergo aqua OMRS maior eſt quàm aquą
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CDFE: ſed aqua deſcendens eſt æqualis mo
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li corporis NL, quæ replebat ſpatium reli
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ctum; igitur maior eſt moles NL quàm GB:
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eſt autem NL æqualis parti eleuatæ VO, &
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GB æqualis eſt parti eleuatæ HC, ergo VO
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maior eſt moles
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HC: hæ verò moles
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VO & HC ſunt vt altitudines, quia ex hypo
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theſi data ſolida ſunt æqualia, ſimilia, & ſi
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militer poſita; ergo maior eſt altitudo KV
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quam altitudo AH. </
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<
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>Quod ſi KV dicatur minor quàm AH
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ergo ex æqualibus VN, HG, demptis inæ
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qualibus, remanet KN maior quam AG,
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hoc eſt OS maior quam CE: aqua igitur
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OMRS maiorem habens baſim ac maiorem
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altitudinem, quam aqua CDFE, maior quo</
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