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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Folium of Descartes ： ウィキペディア英語版 Folium of Descartes In geometry, the folium of Descartes is an algebraic curve defined by the equation :$x^3\; +\; y^3\; -\; 3\; a\; x\; y\; =\; 0\; \backslash ,$. It forms a loop in the first quadrant with a double point at the origin and asymptote :$x\; +\; y\; +\; a\; =\; 0\; \backslash ,$. It is symmetrical about $y\; =\; x$. The name comes from the Latin word ''folium'' which means "leaf". The curve was featured, along with a portrait of Descartes, on an Albanian stamp in 1966. == History == The curve was first proposed by Descartes in 1638. Its claim to fame lies in an incident in the development of calculus. Descartes challenged Fermat to find the tangent line to the curve at an arbitrary point since Fermat had recently discovered a method for finding tangent lines. Fermat solved the problem easily, something Descartes was unable to do.〔Simmons, p. 101〕 Since the invention of calculus, the slope of the tangent line can be found easily using implicit differentiation. 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「Folium of Descartes」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.