Definition of Principal axes of a quadric. Meaning of Principal axes of a quadric. Synonyms of Principal axes of a quadric
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Definition of Principal axes of a quadric
Principal axes of a quadricPrincipal Prin"ci*pal, a. [F., from L. principalis. See
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]
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
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
with the reference frame
for a quadric
), a general equation of
- center of
the ellipsoid. The line segments
that are delimited
on the axes of symmetry
by the ellipsoid
the prin****l axes
, or simply axes of
- called a transformation of
coordinates. The solutions
to many problems
can be simplified
the coordinate axes
- In mathematics, a quadric
or quadric surface
dimensions), is a generalization of conic sections
(ellipses, parabolas, and...
- locus of points
the state of stress
on individual planes
at all their
the axes represent
the prin****l axes of
spheroid, or ellipsoid of
revolution, is a quadric surface obtained
an ellipse about
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
- to also include representations of
some non-spherical entities: prin****l axes
-aligned quadric surfaces
and many of their degenerate forms
such as planes...
2018-12-31. Coolidge, J.L. (1945). A history of
the conic sections
- 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
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