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 2 years ago
Are there two nonisomorphic ellipses with the same area and circumference?
Difficult question...
 2 years ago
Are there two nonisomorphic ellipses with the same area and circumference? Difficult question...

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experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349851817988:dw the area of ellipse is easily calculated. the problem is the circumference of ellipse.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0all math questions are difficult questions...

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349852155481:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349852311838:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349852744182:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1349852945938:dw

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0two equations, two unknowns, I don't think you will find more than one solutions for positive value of a and b.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0Yes, very awkward. The area is easy, u can imagine halfaxes like 2,3 or 1,6 to give same area. But then the circumference varies as 4aE where e varies as to the eccentricity sqrt(1 (a^2/b^2)). Which using the above figures 8*sqrt(5/9) or 4 *sqrt(35/36) so u would need to find some a,b combination that would make these 2 expressions be equal.
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