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  1. Learn about the geometric and algebraic properties of principal axes, lines associated with ellipsoids or hyperboloids. The theorem shows how to diagonalize a quadratic form and find the principal axes using eigenvalues and eigenvectors.

  2. 30 Δεκ 2020 · Learn how to find the principal axis system of a rigid body, where the inertia tensor is diagonal and the angular momentum and angular velocity are parallel. The web page explains the definition, properties and calculation of the principal moments of inertia and the principal axes.

  3. Principal axis may refer to: Principal axis (crystallography) Principal axis (mechanics) Principal axis theorem.

  4. 31 Μαΐ 2016 · Learn about the symmetry elements and operations of molecules, such as rotation, reflection, inversion and improper rotation. Find out how to identify and label the principal axis of rotation and the symmetry planes of molecules.

  5. Learn how to determine the principal axes of inertia of a rigid body using the inertia tensor and the characteristic equation. See an example of a brick with four masses and their coordinates.

  6. Learn how to find the principal axes and moments of inertia of a rigid body using the moment-of-inertia tensor. The principal axes are the eigenvectors of the tensor and the principal moments are its eigenvalues.

  7. The principal axis is the reference line used to describe the location and properties of images formed by a mirror. The distance between the mirror's surface and its center of curvature is equal to the mirror's radius of curvature.

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