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x2a2+y2b2+z2c2=1\displaystyle \frac {x^2}{a^2} + \frac {y^2}{b^2} + \frac {z^2}{c^2} = 1a2x2+b2y2+c2z2=1
x, y, z = var('x,y,z') implicit_plot3d(x^2/4^2 + y^2/3^2 + z^2/2^2==1, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)
zc=x2a2+y2b2\displaystyle \frac zc = \frac {x^2}{a^2} + \frac {y^2}{b^2}cz=a2x2+b2y2
x, y, z = var('x,y,z') implicit_plot3d(x^2/4^2 + y^2/3^2 - z/2==0, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)
zc=x2a2−y2b2\displaystyle \frac zc = \frac {x^2}{a^2} - \frac {y^2}{b^2}cz=a2x2−b2y2
x, y, z = var('x,y,z') implicit_plot3d(x^2/4^2 - y^2/3^2 - z/2==0, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)
z2c2=x2a2+y2b2\displaystyle \frac {z^2}{c^2} = \frac {x^2}{a^2} + \frac {y^2}{b^2}c2z2=a2x2+b2y2
x, y, z = var('x,y,z') implicit_plot3d(x^2/4^2 + y^2/3^2 - z^2/2^2==0, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)
x2a2+y2b2−z2c2=1\displaystyle \frac {x^2}{a^2} + \frac {y^2}{b^2} - \frac {z^2}{c^2} = 1a2x2+b2y2−c2z2=1
x, y, z = var('x,y,z') implicit_plot3d(x^2/4^2 + y^2/3^2 - z^2/2^2==1, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)
−x2a2−y2b2+z2c2=1\displaystyle - \frac {x^2}{a^2} - \frac {y^2}{b^2} + \frac {z^2}{c^2} = 1−a2x2−b2y2+c2z2=1
x, y, z = var('x,y,z') implicit_plot3d(- x^2/4^2 - y^2/3^2 + z^2/2^2==1, (x,-8, 8), (y,-6,6), (z,-4,4), aspect_ratio=1)