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

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            <p type="main">
              <s>
                <pb xlink:href="018/01/073.jpg" pagenum="65"/>
              que ſemidiametrum latere non poſſe de­
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              monſtro. </s>
            </p>
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              <s>Sit enim, exempli gratiâ, nota altitudo
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              BA Phari Genuenſis (laternam vocant) cum
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                <arrow.to.target n="note31"/>
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              ſcopulo palmorum Genuenſium 440, hoc
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              eſt pedum Rom. ant. </s>
              <s>480, obſeruatusque
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              angulus BAD ſit gr. 89. m. 36. ſec. 33. Quo­
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              niam ergo linea AD circulum tangit in D,
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              angulus CDA eſt rectus. </s>
              <s>Ex B ducta intel­
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              ligatur BE parallela ipſi CD; eſtque triangu­
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              lum ABE rectangulum ad E, cuius hypo­
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              thenuſa AB, & angulus adiacens innotue­
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              runt. </s>
              <s>Quare fiat vt Radius 100000. 00000.
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              ad ſinum gr. 89. m. 36. ſec. 33. hoc eſt 99997.
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              67348, ita AB ped. 480. ad BE ped. (479
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              98883.27040/100000.00000). Porrò triangula ABE, ACD æqui­
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              angula ſunt propter linearum BE, CD pa­
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              ralleliſmum, adeoque & ſimilia, ac vt AB
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              ad BE, ita AC ad CD. </s>
              <s>Ponatur autem BC
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              vna Radix Algebricè. </s>
              <s>Igitur vt AB ped. 480
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              ad BE ped. (479 98883.27040/10000000000), ita AC ped. 1 ℞ +
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              480 ad CD ped. (47998883.27040/48000000.00000) ℞ + (479 47463969.79200/48000000.00000).
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              Eſt autem CD æqualis ipſi CB 1 ℞. </s>
              <s>Quare
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              factâ Antitheſi iuxta Algebræ regulas, ma­
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              net æquatio inter hos terminos (111672960/48000000.00000) ℞ &
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              pedes (479 47463969.79200/48000000.00000). Inſtitutâ denique di­
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              uiſione prodit quotiens ped. 20631193., </s>
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          </chap>
        </body>
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