Cesàro Equation
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Cesàro equation of a plane curve is an equation relating curvature ( ) to arc length (s). It may also be given as an equation relating the radius of curvature (R) to arc length. (These are equivalent because R = 1 / .) Two congruent curves will have the same Cesàro equation. It is named for Ernesto Cesàro. Determining the length of an irregular arc segment also called rectification of a curve was historically difficult. Although many methods were u...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, the Cesàro equation of a plane curve is an equation relating curvature ( ) to arc length (s). It may also be given as an equation relating the radius of curvature (R) to arc length. (These are equivalent because R = 1 / .) Two congruent curves will have the same Cesàro equation. It is named for Ernesto Cesàro. Determining the length of an irregular arc segment also called rectification of a curve was historically difficult. Although many methods were used for specific curves, the advent of calculus led to a general formula that provides closed-form solutions in some cases.
