bean curve

bean curve
A curve with formula :.

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  • Bean curve — The bean curve is a quartic plane curve with the equation::x^4+x^2y^2+y^4=x(x^2+y^2) ,It is not the same as another curve also called the bean curve, or crooked egg curve, but both curves belong to a family of similar bean shaped curves.The bean… …   Wikipedia

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  • Crooked egg curve — In algebraic geometry, a curve which has been called the crooked egg curve, and also the bean curve , is a plane algebraic curve of degree four and genus zero, with equation:(x^2+y^2)^2=x^3+y^3 ,.The equation can also be given in polar form, as:r …   Wikipedia

  • Quartic plane curve — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… …   Wikipedia

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