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Math Help - The most difficult problem of ellipse

  1. #1
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    Exclamation The most difficult problem of ellipse

    Problem: Show how to construct as many points as desired on the ellipse y^2=px(k-x). Hint: think of y as the altitude of a right triangle with hypotenuse as base.

    Please give the way that how to construct the locus of ellipse in Apollonius' time.
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  2. #2
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    See this for example.
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