Ellipsoid - Wikipedia
An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric …
Ellipsoid -- from Wolfram MathWorld
2024年11月18日 · The general ellipsoid, also called a triaxial ellipsoid, is a quadratic surface which is given in Cartesian coordinates by (x^2)/ (a^2)+ (y^2)/ (b^2)+ (z^2)/ (c^2)=1, (1) where …
Ellipsoid - Math.net
Ellipsoid. An ellipsoid is a 3D geometric figure that has an elliptical shape. It can be viewed as a stretched sphere. An ellipsoid gets its name from an ellipse. Any plane that cuts through an …
Ellipsoid | Surfaces, Axes, Foci | Britannica
Ellipsoid, closed surface of which all plane cross sections are either ellipses or circles. An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the centre. If a, b, and …
Ellipsoid Volume Calculator
2024年7月22日 · You can calculate ellipsoid volume in three steps: Determine the length of the semi-axes of the ellipsoid. Apply the ellipsoid volume formula: ellipsoid volume = 4/3 × π × A × …
The ellipsoid - Math Insight
Just as an ellipse is a generalization of a circle, an ellipsoid is a generalization of a sphere. In fact, our planet Earth is not a true sphere; it's an ellipsoid, because it's a little wider than it is tall. As …
Ellipsoid - Encyclopedia of Mathematics
2012年4月24日 · An ellipsoid is a closed central surface of the second order (see Figure 1). The canonical equation of an ellipsoid has the form $$ \frac {x^2} {a^2} + \frac {y^2} {b^2} + \frac …
12.6: Quadric Surfaces - Mathematics LibreTexts
2024年9月11日 · Identify a cylinder as a type of three-dimensional surface. Recognize the main features of ellipsoids, paraboloids, and hyperboloids. Use traces to draw the intersections of …
4.3: The Ellipsoid - Physics LibreTexts
Let us refer the ellipsoid \(\ref{4.3.4}\) to a set of axes \(\text{O}x^\prime y^\prime z^\prime\) such that the angles \(z^\prime \text{O} z\) and \(x^\prime \text{O} x\) are each \(θ\), and the …
Flexi answers - What is an ellipsoid? - CK-12 Foundation
An ellipsoid is a three-dimensional geometric shape that resembles a stretched or compressed sphere. It is a type of quadric surface, which means it is defined by a second-degree equation …