Valerio, Luca, De centro gravitatis solidorum, 1604

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            <p type="main">
              <s>
                <pb xlink:href="043/01/247.jpg" pagenum="68"/>
              ter AD: & circa axim EF, ſtet cylindrus, vel portio cylin­
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              drica MN abſciſſa ijſdem planis cum portione ABCD
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              ex cylindro, vel portione cylindrica, ſphæræ, vel ſphæroidi
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              BCR circa eius axim CFSR circumſcripta, cuius ſit cen
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              trum grauitatis H, ac propterea ſecta FS bifariam in pun
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              cto H. reliqui autem
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              dempta portione AB
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              CD ex ſolido MN ſit
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              centrum grauitatis K,
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              quod cadet in FH, &
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              portionis ABCD cen
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              trum grauitatis in ipſa
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              HS cadet, quod ſit L.
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              </s>
              <s>Dico eſſe HK ad KL,
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              vt duo rectangula GF
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              R, FSE, vnà cum
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              duabus tertiis quadra­
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              ti FS, ad quadratum
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              EG. </s>
              <s>Quoniam enim
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                <figure id="id.043.01.247.1.jpg" xlink:href="043/01/247/1.jpg" number="180"/>
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              ſimiliter vt ante oſtenderemus eſſe HK ad KL, vt eſt
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              portio ABCD ad ſolidum MN: ſed portio ABCD
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              ad ſolidum MN, eſt vt duo rectaugula GFR, ESF, vnà
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              cum duabus tertiis quadrati FS, ad quadratum EG; vt
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              igitur duo prædicta rectangula, vnà cum duabus tertiis
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              quadrati FS ad quadratum EG, ita erit HK ad KL.
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              </s>
              <s>Quod erat demonſtrandum. </s>
            </p>
            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXV.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Omnis maioris portionis ſphæræ, vel ſphæroi­
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              dis centrum grauitatis eſt in axe, primum bifa­
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              riam ſecto: deinde ſecundum centrum grauitatis
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              reliqui dempta portione ex cylindro, vel portione </s>
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        </body>
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