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

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          <chap>
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              <s id="s.000145">PROPOSITIO X.
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            <subchap1>
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                <s id="s.000146">Gravia descendunt super planis inclinatis per spatia
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                semper maiora, iuxta rationem, quam habent im-
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                pares numeri successive inter se.
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                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000147">Sit grave A, quod descendat super plano ABC inclinato,
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              & tempus quo descendit ab A in B sit aequale tempo-
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              ri, quo descendit a B in C, & a C in D.
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              </s>
            </p>
            <p>
              <s id="s.000148">Dico quod lineae AB, BC, CD sunt inter se ut 1. 3. 5. &. sic
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              deinceps. </s>
            </p>
            <p>
              <s id="s.000149">Sit E numerus mensurans tempus, quo A descendit in B, & F
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              quo descendit a B in C, & G quo descendit a C in D, quae
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              tempora sunt ex suppositione aequalia, & sit H quadratum
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              ipsius E, & I quadratum EF, & K quadratum totius EFG.
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              </s>
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            <p>
              <s id="s.000150">Quoniam quadrata HIK sunt ut AB, AC, AD
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              , quae
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              quadrata sunt ut 1. 4. 9. sunt pariter AB, AC, AD, ut
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              1. 4. 9. & dividendo AB, BC, CD, sunt ut 1. 3. 5. & sic
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              deinceps. </s>
              <s id="s.000151">Quod probandum erat.
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              </s>
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              Per 7.
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              hujus.
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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