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

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

Definition of Principal of a quadric

Principal 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 of a quadric from wikipedia

- In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and...
- ellipsoid is a quadric surface;  that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces...
- Quadric geometric algebra (QGA) is a geometrical application of the G 6 , 3 {\displaystyle {\mathcal {G}}_{6,3}} geometric algebra. This algebra is also...
- 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...
- extension of the concept of confocal conics to surfaces leads to confocal quadrics. Any hyperbola or (non-circular) ellipse has two foci, and any pair of distinct...
- and Cauchy's stress quadric. The Mohr circle can be applied to any symmetric 2x2 tensor matrix, including the strain and moment of inertia tensors. Internal...
- Augustin-Louis Cauchy saw how their work could be used to classify the quadric surfaces, and generalized it to arbitrary dimensions. Cauchy also coined...
- certain quadric surfaces. The prin****l tool in this process is "completing the square." Use a translation of coordinates to identify the quadric surface...
- locally prin****l; see the examples of quadric cones above. Effective Cartier divisors are those which correspond to ideal sheaves. In fact, the theory of effective...
- nature of a quadric surface. Let P(x,y,z){\displaystyle P(x,y,z)} be a polynomial of degree two in three variables that defines a real quadric surface...