Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

Table of figures

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              ca inter eleuationes ſolidi ac depreſſiones a­
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              quæ analogia, præterquàm in vno caſu. </s>
              <s>Non
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              quidem directa, quia, vt dicebam, KV ma­
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              ior eſt quàm AH, ergo maior eſt Ratio KV
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              ad AG, quàm HA ad AG; atqui AG maior
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              eſt quàm KN, ergo maior eſt Ratio KV ad
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              KN quàm KV ad AG; ergò multò maior eſt
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              Ratio KV ad KN quàm HA ad AG. </s>
              <s>Noņ
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              eſſe autem reciprocam analogiam ſic oſtendo. </s>
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              XCIX
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              Eleuationes
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              ſolidi, &
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              depreſſiones
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              humidi iņ
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              vaſis inæ­
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              qualibus
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              ſunt propor
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              tionales, ni ſi
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              in vno caſu.
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              <s>Aqua OMRS circumfuſa eſt æqualis moli
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              NL, hoc eſt VO; addatur vtrique commu­
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              nis moles NO, erit tota moles duobus pla­
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              nis KOM & NSR parallelis contenta æqualis
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              moli corporis KL ſeu VS. </s>
              <s>Item aqua CDFE
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              circumfuſa æqualis eſt moli GB, hoc eſt HC;
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              & additâ communi mole AE, erit tota mo­
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              les planis ACD & GEF parallelis contentą
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              æqualis moli corporis AB ſeu HE. </s>
              <s>Atqui HE
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              & VS æquales ſunt moles ex hypotheſi; igi­
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              tur & moles GD æqualis eſt moli NM: ergo
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              per 34. lib. 11. baſes cum altitudinibus re­
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              ciprocantur, & vt AG ad KN, ita ſuperficies
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              vaſis maioris ad ſuperficiem vaſis minoris. </s>
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              <s>Prætereà aqua circumfuſa OMRS æqua­
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              lis eſt moli VO, ergo ad molem KS habet
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              eandem Rationem quam VO ad KS, hoc eſt
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              quam altitudines KV ad KN. </s>
              <s>At aqua cir­
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              cumfuſa ad molem KS, quia in eâdem ſunt </s>
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