﻿ Definition of Principal axes of a quadric. Meaning of Principal axes of a quadric. Synonyms of Principal axes of a quadric

# Definition of Principal axes of a quadric. Meaning of Principal axes of a quadric. Synonyms of Principal axes of a quadric

Here you will find one or more explanations in English for the word Principal axes of a quadric. Also in the bottom left of the page several parts of wikipedia pages related to the word Principal axes of a quadric and, of course, Principal axes of a quadric synonyms and on the right images related to the word Principal axes of a quadric.

## Definition of Principal axes of a quadric

Principal Prin"ci*pal, a. [F., from L. principalis. See Prince.] 1. Highest in rank, authority, character, importance, or degree; most considerable or important; chief; main; as, the principal officers of a Government; the principal men of a state; the principal productions of a country; the principal arguments in a case. Wisdom is the principal thing. --Prov. iv. 7. 2. Of or pertaining to a prince; princely. [A Latinism] [Obs.] --Spenser. Principal axis. See Axis of a curve, under Axis. Principal axes of a quadric (Geom.), three lines in which the principal planes of the solid intersect two and two, as in an ellipsoid. Principal challenge. (Law) See under Challenge. Principal plane. See Plane of projection (a), under Plane. Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal ray (Persp.), the line drawn through the point of sight perpendicular to the perspective plane. Principal section (Crystallog.), a plane passing through the optical axis of a crystal.

## Meaning of Principal axes of a quadric from wikipedia

- degenerate quadric surfaces. When the prin****l axes of a quadric are aligned with the reference frame (always possible for a quadric), a general equation of the...
- center of the ellipsoid. The line segments that are delimited on the axes of symmetry by the ellipsoid are called the prin****l axes, or simply axes of the...
- called a transformation of coordinates. The solutions to many problems can be simplified by translating the coordinate axes to obtain new axes parallel...
- In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and...
- locus of points that represent the state of stress on individual planes at all their orientations, where the axes represent the prin****l axes of the stress...
- A spheroid, or ellipsoid of revolution, is a quadric surface obtained by rotating an ellipse about one of its prin****l axes; in other words, an ellipsoid...
- transformation. A hyperboloid is a quadric surface, that is, a surface defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces...
- to also include representations of some non-spherical entities: prin****l axes-aligned quadric surfaces and many of their degenerate forms such as planes...
- Volume 2". Retrieved 2018-12-31. Coolidge, J.L. (1945). A history of the conic sections and quadric surfaces. Dover Publications. Retrieved 2018-12-16.CS1...
- of a rigid body, and discovered the importance of the prin****l axes. Joseph-Louis Lagrange realized that the prin****l axes are the eigenvectors of the...