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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- February 18th 2009, 08:25 AMhardworker2009The 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. - February 19th 2009, 05:51 AMjames_bond
See this for example.