Principal axes of a quadric
- 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.
[1913 Webster]
Wisdom is the principal thing. --Prov. iv. 7.
[1913 Webster]
2. Of or pertaining to a prince; princely. [A Latinism]
[Obs.] --Spenser.
[1913 Webster]
{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.
[1913 Webster]
The Collaborative International Dictionary of English.
2000.
Look at other dictionaries:
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… … The Collaborative International Dictionary of English
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… … The Collaborative International Dictionary of English
Principal axis — 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… … The Collaborative International Dictionary of English
Principal challenge — 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… … The Collaborative International Dictionary of English
Principal plane — 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… … The Collaborative International Dictionary of English
Principal point — 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… … The Collaborative International Dictionary of English
Principal ray — 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… … The Collaborative International Dictionary of English
Principal section — 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… … The Collaborative International Dictionary of English
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
