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Lamé's special quartic : ウィキペディア英語版
Lamé's special quartic

Lamé's special quartic is the graph of the equation
:x^4 + y^4 = r^4
where r > 0.〔.〕 It looks like a rounded square with "sides" of length 2r and centered on the origin. This curve is a squircle centered on the origin, and it is a special case of a super ellipse.〔.〕
Because of Pierre de Fermat's only surviving proof, that of the ''n'' = 4 case of Fermat's Last Theorem, if ''r'' is rational there is no non-trivial rational point (''x'', ''y'') on this curve (that is, no point for which both ''x'' and ''y'' are non-zero).
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Lamé's special quartic」の詳細全文を読む



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