Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm
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            <subchap1 n="13" type="proposition">
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                <s id="s.000564">PROPOSITIO XIII. PROBL. V.</s>
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              <subchap2 n="13" type="statement">
                <p type="main">
                  <s id="s.000565">Datis gravibus descendentibus per perpendi­
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                  cularem, & declinantem reperire rationes im­
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                  petus in punctis datis.
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              <subchap2 n="13" type="proof">
                <p type="main">
                  <s id="s.000566">Descendat grave per AC perpendicularem ,
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                  & AB declinantem, & dentur puncta B, C.</s>
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                <p type="main">
                  <s id="s.000567">Reperire proportionem impe­
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                  tus in B ad impetum in C.</s>
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                <p type="main">
                  <s id="s.000568">Ducatur BD normalis ad AC
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                  , & fiat AE
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                  media inter AC, AD
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                  , Dico impetum in C ad
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                  impetum in B esse ut AE ad AD.</s>
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                <p type="margin">
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                  Per 6. huius.</s>
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                <p type="margin">
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                  Per 31. primi.</s>
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                <p type="main">
                  <s id="s.000571">Quoniam impetus in C ad impetum in D est ut
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                  AE ad AD
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                  , & impetus in D & B sunt aequa­
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                  les
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                  , ergo impetus in C ad impetum in B est
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                  ut AE ad AD, Quod etc.</s>
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                <p type="margin">
                  <s id="s.000572">
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                  Per 13. primi.</s>
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                <p type="margin">
                  <s id="s.000573">
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                  Per axioma primum.</s>
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              </subchap2>
            </subchap1>
          </chap>
        </body>
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    </archimedes>