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Is it possible to divide an ellipse into 3,5 or 7 etc. parts of equal area? If yes then how?

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Describe a circle around the ellipse and the circle of an equilateral triangle we construct. Projection of points on the circle is an ellipse with the ellipse on the surface distribution of three equal parts. To divide into 5 the same procedure to construct a pentagon in a circle.

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    Nice question! +12011-08-06
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    You should explicitly mention the rules of your game. It is clearly possible to partition the area of an ellipse into $N$ regions of equal area for any natural $N$, but you probably mean "by explicit construction", in the same way that it is possible to divide it into $2$ and $4$ regions. You should also mention how the areas are supposed to look like (e.g., are they contiguous? congruent?).2011-08-06
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    @Yuval : I would be intrested in the solution satisfying least or no requirements, I guess as long as the process is finite should be still be intresting.2011-08-06
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    I suppose a tag related to constructive mathematics is in order. Otherwise the answer is simply "Yes. You can.".2011-08-06
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    You posted an answer as part of the question -- it would be preferable to post it as an answer (which it is).2011-08-09

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