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Quadric surfaces

We will use next coefficients

a=input(1.2); b=input(0.9); c=input(1.0); p=input(1.3)

<< (x^2)/(a^2) + (y^2)/(b^2) = 2*p*z

z_elp = ((x^2)/(a^2) + (y^2)/(b^2))/(2*p)

chart3d({x: x, y: y, z: z_elp, color: "blue", width: "250", xaxis: "auto", yaxis: "auto"})

<< (x^2)/(a^2) + (y^2)/(b^2) - (z^2)/(c^2) = 1

z_h = \(((x^2)/(a^2) + (y^2)/(b^2) -1)*c^2)

chart3d({x: x, y: y, z: z_h, color: "red", width: "250", xaxis: "auto", yaxis: "auto"})

<< (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) = 1

z_hp = ((x^2)/(a^2) - (y^2)/(b^2))/(2*p)

chart3d({x: x, y: y, z: z_hp, color: "brown", width: "250", xaxis: "auto", yaxis: "auto"})

author: boris 15 jan 2011 05:51 Mathematics show source

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