\(\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1\)
Real plane intersections are the ellipses and the circles.
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A tri-axial ellipsoid \(\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1\) Real plane intersections are the ellipses and the circles. |
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An ellipsoid of revolution \(\frac{x^2}{a^2}+\frac{y^2}{a^2}+\frac{z^2}{c^2}=1\) Real plane intersections are the ellipses and the circles. |
\(a > c\) an oblate ellipsoid 
obtained by rotating an ellipse about its minor axis |
\(a < c\) an prolate ellipsoid 
obtained by rotating an ellipse about its major axis |
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a sphere \(x^2+y^2+z^2=a^2\) Real plane intersection is a circle. |
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Created by Sonja Gorjanc, translated by Helena Halas and Iva Kodrnja - 3DGeomTeh - Developing project of the University of Zagreb