Approximating midpoint of a curve











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I am wondering whether there is any general method of approximating the midpoint of a given curve, given the coordinates of the endpoints and the equation of the curve. I know the calculus method of finding it exactly, but I am looking for a purely algebraic method that holds for all polynomial functions.










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    up vote
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    down vote

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    1












    I am wondering whether there is any general method of approximating the midpoint of a given curve, given the coordinates of the endpoints and the equation of the curve. I know the calculus method of finding it exactly, but I am looking for a purely algebraic method that holds for all polynomial functions.










    share|cite|improve this question
























      up vote
      1
      down vote

      favorite
      1









      up vote
      1
      down vote

      favorite
      1






      1





      I am wondering whether there is any general method of approximating the midpoint of a given curve, given the coordinates of the endpoints and the equation of the curve. I know the calculus method of finding it exactly, but I am looking for a purely algebraic method that holds for all polynomial functions.










      share|cite|improve this question













      I am wondering whether there is any general method of approximating the midpoint of a given curve, given the coordinates of the endpoints and the equation of the curve. I know the calculus method of finding it exactly, but I am looking for a purely algebraic method that holds for all polynomial functions.







      analytic-geometry






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      asked Nov 14 at 21:18









      H Huang

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