11 results for: Abscissa

Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
ab·scis·sa    Audio Help   [ab-sis-uh] Pronunciation Key
–noun, plural -scis·sas, -scis·sae    Audio Help   [-sis-ee] Pronunciation Key. Mathematics.
(in plane Cartesian coordinates) the x-coordinate of a point: its distance from the y-axis measured parallel to the x-axis.
Compare ordinate.


[Origin: 1690–1700; fem. of L abscissus (ptp. of abscindere to abscind)]
Dictionary.com Unabridged (v 1.1)
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006.
Encyclopædia Britannica, Inc.
Abscissa

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American Heritage Dictionary - Cite This Source - Share This
ab·scis·sa    Audio Help   (āb-sĭs'ə)  Pronunciation Key 


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n.   Symbol x2 pl. ab·scis·sas or ab·scis·sae (-sĭs'ē)
The coordinate representing the position of a point along a line perpendicular to the y-axis in a plane Cartesian coordinate system.


[New Latin (līnea) abscissa, (line) cut off, from Latin abscissa, feminine of abscissus, past participle of abscindere, to abscise; see abscise.]

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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Online Etymology Dictionary - Cite This Source - Share This
abscissa 
1698, from L. abscissa (linea) "(a line) cut off," from fem. pp. of abscindere "to cut off," from ab- "off, away" + scindere "to cut" (see shed (v.)).

Online Etymology Dictionary, © 2001 Douglas Harper
WordNet - Cite This Source - Share This
abscissa

noun
the value of a coordinate on the horizontal axis 

WordNet® 3.0, © 2006 by Princeton University.
The American Heritage Science Dictionary - Cite This Source - Share This
abscissa    Audio Help   (āb-sĭs'ə)  Pronunciation Key 


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Plural abscissas or abscissae (āb-sĭs'ē)
The distance of a point from the y-axis on a graph in the Cartesian coordinate system. It is measured parallel to the x-axis. For example, a point having coordinates (2,3) has 2 as its abscissa. Compare ordinate.

The American Heritage® Science Dictionary
Copyright © 2002 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Free On-line Dictionary of Computing - Cite This Source - Share This

abscissa mathematics
The horizontal or x coordinate on an (x, y) graph; the input of a function against which the output is plotted.
The vertical or y coordinate is the "ordinate".
See Cartesian coordinates.
(1997-07-08)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Abscissa

Ab"sciss\, n.; pl. Abscisses. See Abscissa.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

Abscissa

Ab*scis"sa\, n.; E. pl. Abscissas, L. pl. Absciss[ae]. [L., fem. of abscissus, p. p. of absindere to cut of. See Abscind.] (Geom.) One of the elements of reference by which a point, as of a curve, is referred to a system of fixed rectilineal co["o]rdinate axes.

Note: When referred to two intersecting axes, one of them called the axis of abscissas, or of X, and the other the axis of ordinates, or of Y, the abscissa of the point is the distance cut off from the axis of X by a line drawn through it and parallel to the axis of Y. When a point in space is referred to three axes having a common intersection, the abscissa may be the distance measured parallel to either of them, from the point to the plane of the other two axes. Abscissas and ordinates taken together are called co["o]rdinates. -- OX or PY is the abscissa of the point P of the curve, OY or PX its ordinate, the intersecting lines OX and OY being the axes of abscissas and ordinates respectively, and the point O their origin.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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Abscissa

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.

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.

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

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.

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

6. (Fine Arts) The primary or secondary central line of any design.

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 telescope or microscope, 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.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.
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Abscissa

Co*["o]r"di*nate\, n. 1. A thing of the same rank with another thing; one two or more persons or things of equal rank, authority, or importance.

It has neither co["o]rdinate nor analogon; it is absolutely one. --Coleridge.

2. pl. (Math.) Lines, or other elements of reference, by means of which the position of any point, as of a curve, is defined with respect to certain fixed lines, or planes, called co["o]rdinate axes and co["o]rdinate planes. See Abscissa.

Note: Co["o]rdinates are of several kinds, consisting in some of the different cases, of the following elements, namely: (a) (Geom. of Two Dimensions) The abscissa and ordinate of any point, taken together; as the abscissa PY and ordinate PX of the point P (Fig. 2, referred to the co["o]rdinate axes AY and AX. (b) Any radius vector PA (Fig. 1), together with its angle of inclination to a fixed line, APX, by which any point A in the same plane is referred to that fixed line, and a fixed point in it, called the pole, P. (c) (Geom. of Three Dimensions) Any three lines, or distances, PB, PC, PD (Fig. 3), taken parallel to three co["o]rdinate axes, AX, AY, AZ, and measured from the corresponding co["o]rdinate fixed planes, YAZ, XAZ, XAY, to any point in space, P, whose position is thereby determined with respect to these planes and axes. (d) A radius vector, the angle which it makes with a fixed plane, and the angle which its projection on the plane makes with a fixed line line in the plane, by which means any point in space at the free extremity of the radius vector is referred to that fixed plane and fixed line, and a fixed point in that line, the pole of the radius vector.

Cartesian co["o]rdinates. See under Cartesian.

Geographical co["o]rdinates, the latitude and longitude of a place, by which its relative situation on the globe is known. The height of the above the sea level constitutes a third co["o]rdinate.

Polar co["o]rdinates, co["o]rdinates made up of a radius vector and its angle of inclination to another line, or a line and plane; as those defined in (b) and (d) above.

Rectangular co["o]rdinates, co["o]rdinates the axes of which intersect at right angles.

Rectilinear co["o]rdinates, co["o]rdinates made up of right lines. Those defined in (a) and (c) above are called also Cartesian co["o]rdinates.

Trigonometrical or Spherical co["o]rdinates, elements of reference, by means of which the position of a point on the surface of a sphere may be determined with respect to two great circles of the sphere.

Trilinear co["o]rdinates, co["o]rdinates of a point in a plane, consisting of the three ratios which the three distances of the point from three fixed lines have one to another.
Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.

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