On the relevance of the differential expressions $f^2+f'^2$, $f+f"$ and $f f"- f'^2$ for the geometrical and mechanical properties of curves

James Bell Cooper

On the relevance of the differential expressions f²+f'², f+f" and f f"- f'² for the geometrical and mechanical properties of curves

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arxiv 1102.1579 v1 pith:ERUWD2FR submitted 2011-02-08 math-ph math.MP

On the relevance of the differential expressions f²+f'², f+f" and f f"- f'² for the geometrical and mechanical properties of curves

James Bell Cooper This is my paper

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keywords propertiescurvesexpressionsmechanicalanalyticapproachdifferentialgeometric

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We present a unified approach to known and new properties of curves by showing the ubiquity of the expressions in the title in the analytic treatment of their mechanical and geometric properties

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