Axes of coordinates in space

Axes of coordinates in space
Axis Ax"is, n.; pl. {Axes}. [L. axis axis, axle. See {Axle}.] A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are symmetrically arranged. [1913 Webster]

2. (Math.) A straight line with respect to which the different parts of a magnitude are symmetrically arranged; as, the axis of a cylinder, i. e., the axis of a cone, that is, the straight line joining the vertex and the center of the base; the axis of a circle, any straight line passing through the center. [1913 Webster]

3. (Bot.) The stem; the central part, or longitudinal support, on which organs or parts are arranged; the central line of any body. --Gray. [1913 Webster]

4. (Anat.) (a) The second vertebra of the neck, or {vertebra dentata}. (b) Also used of the body only of the vertebra, which is prolonged anteriorly within the foramen of the first vertebra or atlas, so as to form the odontoid process or peg which serves as a pivot for the atlas and head to turn upon. [1913 Webster]

5. (Crystallog.) One of several imaginary lines, assumed in describing the position of the planes by which a crystal is bounded. [1913 Webster]

6. (Fine Arts) The primary or secondary central line of any design. [1913 Webster]

{Anticlinal axis} (Geol.), a line or ridge from which the strata slope downward on the two opposite sides.

{Synclinal axis}, a line from which the strata slope upward in opposite directions, so as to form a valley.

{Axis cylinder} (Anat.), the neuraxis or essential, central substance of a nerve fiber; -- called also {axis band}, {axial fiber}, and {cylinder axis}.

{Axis in peritrochio}, the wheel and axle, one of the mechanical powers.

{Axis of a curve} (Geom.), a straight line which bisects a system of parallel chords of a curve; called a {principal axis}, when cutting them at right angles, in which case it divides the curve into two symmetrical portions, as in the parabola, which has one such axis, the ellipse, which has two, or the circle, which has an infinite number. The two axes of the ellipse are the {major axis} and the {minor axis}, and the two axes of the hyperbola are the {transverse axis} and the {conjugate axis}.

{Axis of a lens}, the straight line passing through its center and perpendicular to its surfaces.

{Axis of a microscope} or {Axis of a telescope}, the straight line with which coincide the axes of the several lenses which compose it.

{Axes of co["o]rdinates in a plane}, two straight lines intersecting each other, to which points are referred for the purpose of determining their relative position: they are either rectangular or oblique.

{Axes of co["o]rdinates in space}, the three straight lines in which the co["o]rdinate planes intersect each other.

{Axis of a balance}, that line about which it turns.

{Axis of oscillation}, of a pendulum, a right line passing through the center about which it vibrates, and perpendicular to the plane of vibration.

{Axis of polarization}, the central line around which the prismatic rings or curves are arranged. --Brewster.

{Axis of revolution} (Descriptive Geom.), a straight line about which some line or plane is revolved, so that the several points of the line or plane shall describe circles with their centers in the fixed line, and their planes perpendicular to it, the line describing a surface of revolution, and the plane a solid of revolution.

{Axis of symmetry} (Geom.), any line in a plane figure which divides the figure into two such parts that one part, when folded over along the axis, shall coincide with the other part.

{Axis of the} {equator, ecliptic, horizon} (or other circle considered with reference to the sphere on which it lies), the diameter of the sphere which is perpendicular to the plane of the circle. --Hutton.

{Axis of the Ionic capital} (Arch.), a line passing perpendicularly through the middle of the eye of the volute.

{Neutral axis} (Mech.), the line of demarcation between the horizontal elastic forces of tension and compression, exerted by the fibers in any cross section of a girder.

{Optic axis of a crystal}, the direction in which a ray of transmitted light suffers no double refraction. All crystals, not of the isometric system, are either uniaxial or biaxial.

{Optic axis}, {Visual axis} (Opt.), the straight line passing through the center of the pupil, and perpendicular to the surface of the eye.

{Radical axis of two circles} (Geom.), the straight line perpendicular to the line joining their centers and such that the tangents from any point of it to the two circles shall be equal to each other.

{Spiral axis} (Arch.), the axis of a twisted column drawn spirally in order to trace the circumvolutions without.

{Axis of abscissas} and {Axis of ordinates}. See {Abscissa}. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Axes of coordinates in a plane — Axis Ax is, n.; pl. {Axes}. [L. axis axis, axle. See {Axle}.] A straight line, real or imaginary, passing through a body, on which it revolves, or may be supposed to revolve; a line passing through a body or system around which the parts are… …   The Collaborative International Dictionary of English

  • List of equations in classical mechanics — ;Nomenclature: a = acceleration (m/s sup2;): g = gravitational field strength/acceleration in free fall (m/s sup2;): F = force (N = kg m/s sup2;): E k = kinetic energy (J = kg m sup2;/s sup2;): E p = potential energy (J = kg m sup2;/s sup2;): m …   Wikipedia

  • Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia

  • Space Mirror Memorial — Space Mirror The Space Mirror Memorial, also known as the Astronaut Memorial, is a memorial on the grounds of the John F. Kennedy Space Center Visitor Complex on Merritt Island, Florida. It is maintained by the Astronaut Memorial Foundation,… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Philosophy of physics — is the study of the fundamental, philosophical questions underlying modern physics, the study of matter and energy and how they interact. The main questions concern the nature of space and time, atoms and atomism. Also the predictions of… …   Wikipedia

  • History of manifolds and varieties — The study of manifolds combines many important areas of mathematics: it generalizes concepts such as curves and surfaces as well as ideas from linear algebra and topology. Certain special classes of manifolds also have additional algebraic… …   Wikipedia

  • CIE 1931 color space — In the study of color perception, one of the first mathematically defined color spaces is the CIE 1931 XYZ color space, created by the International Commission on Illumination (CIE) in 1931.[1][2] The CIE XYZ color space was derived from a series …   Wikipedia

  • Line coordinates — In geometry, line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position of a point. Contents 1 Lines in the plane 2 Tangential equations 3 Tangential equation of… …   Wikipedia

  • Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”