Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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          <chap>
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              <s id="s.000178">PROPOSITIO XIV. PROBL. VII.
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            </p>
            <subchap1>
              <p>
                <s id="s.000179">Data linea perpendiculari, per quam grave descendat,
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                cui annectatur linea, seu planum declinans; in decli-
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                nante reperire punctum, quo grave perveniat eo
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                tempore, quo pertransiverit perpendicularem.
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                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000180">Sit triangulum ABC orthogonaliter erectum super pla
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              no orizontali BC, cuius latus AB intelligatur sit linea perpendicu-
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              laris, per quam grave descendat, & latus AC sit planum
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              inclinatum.
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              </s>
            </p>
            <p>
              <s id="s.000181">Oportet in plano AC reperire punctum quo grave perveniat
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              eodem tempore, quo in B.
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              </s>
            </p>
            <p>
              <s id="s.000182">Fiat ut AC ad AB, ita AB ad tertiam AD, & D erit pun-
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              ctum quaesitum.
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              </s>
            </p>
            <p>
              <s id="s.000183">Quoniam ut AC ad AD, ita quadratum AC ad quadra-
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              tum AB
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              , & ut AC ad AD, ita quadratum temporis A
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              C ad quadratum temporis AD
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              , ergo ut quadratum A
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              C ad quadratum AB, ita quadratum temporis AC ad qua-
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              dratum temporis AD
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              , ergo ut AC ad AB, ita tempus
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              AC ad tempus AD
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              , sed ut AC ad AB, ita tempus AC ad
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              tempus AB
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              , ergo tempus AB est aequale tempori AD.
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              </s>
              <s id="s.000184">Quod, &c.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000185">
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              Per 19.
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              Sexti.
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              </s>
              <s id="s.000186">
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              Per cor.
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              7. hujus.
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              </s>
              <s id="s.000187">
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              Per 11.
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              Quinti.
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              </s>
              <s id="s.000188">
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              Per 22.
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              Sexti.
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              </s>
              <s id="s.000189">
                <margin.target id="marg33"/>
              Per 11.
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              hujus.
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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