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

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                <pb xlink:href="018/01/103.jpg" pagenum="89"/>
              vellet aſſumere triangulum rectangulum ad
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              B, vt notam faceret
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                <figure id="id.018.01.103.1.jpg" xlink:href="018/01/103/1.jpg" number="25"/>
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              diſtantiam inter B &
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              D, ſibique perſuaderet
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              aut à baſi aut ab hy­
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              pothenusâ illius
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                guli</expan>
              exhiberi diſtan­
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              tiam BD, longè di­
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              ſtaret à veritate. </s>
              <s>Du­
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              cta ſiquidem perpen­
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              dicularis BH longè
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              minor eſt arcu BD, cum ſit Tangens ſe­
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              miſsis illius arcûs: hypothenuſa verò AH
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              minor eſt quàm tota Tangens AD, de­
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              fectu æquali ipſi baſi BH; ſunt enim HB,
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              HD æquales, cùm vtraque ſit circulum
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              tangens ab eodem puncto H ducta. </s>
              <s>Qua­
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              propter deberet aggregatum ex baſi BH
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              & hypothenusâ AH accipere, vt totam
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              AD haberet, quæ non multùm differt ab ar­
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              cu BD, niſi altitudo BA fuerit mons aut ſco­
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              pulus. </s>
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              <s>Quod ſi tuus ille terrenæ magnitudinis
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                <arrow.to.target n="note44"/>
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              inueſtigator lineam BD pro maximâ vi­
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              sûs diſtantiâ aſſumpſiſſet, illa vtique media
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              eſt proportionalis, ex cuius quadrato per no­
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              tam altitudinem DA diuiſo prouenit tertius </s>
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