(redirected from orientational)
Also found in: Dictionary, Thesaurus, Medical, Legal, Financial.


in architecture, the disposition of the parts of a building with reference to the points of the compass. From remote antiquity the traditional belief in the efficacy of religious ceremonials performed at dawn toward the rising sun has influenced the orientation of temples and other sacred structures. In Mesopotamia and Egypt, in Mayan Central America, even at Stonehenge in England, entrances and other important architectural features were designed to point toward the east; the temples of Greece and Rome often, though not invariably, faced the rising sun. In medieval Europe and, consequently, in modern Europe and the Americas, it became customary to have the congregation and the priest at the altar facing east. So strong was this custom that "west front" came to be a generic term for the facade of a church. Some churches were so built that a central line of the axis of the church pointed exactly to the rising sun on the day of the saint for whom the church was named. Such orientation was, however, by no means universal. St. Peter's at Rome, continuing an earlier tradition, faces in the opposite direction. Important secular buildings in the West often face toward the cardinal points of the compass, and the gridiron pattern of a city's streets is frequently so laid out. Practical problems also govern orientations. The disposition of a building in relation to the prevailing wind or to the sun has long been an important consideration in construction. Early commentators on the problem were Xenophon and Vitruvius. Examples of the concern for climatological orientation can be found in ancient Rome, where there were laws regarding the placement and heights of buildings, or in Puebla, Mexico, where in 1554 the streets were planned so that winds would not sweep through the city. Although orientation in accordance with climatic conditions was in many instances ignored in the 19th cent., modern architects have considered it and have tended to design their buildings accordingly.


The placement of a structure on a site with regard to local conditions of sunlight, wind, drainage, and an outlook to specific vistas.
2. Orientation of a structure toward the sun for controlled solar gain. An essential ingredient in the success of passive and active solar design elements. Sun charts and software assist in orienting a building for maximum solar benefit, which can substantially reduce both heating and cooling loads.

family of origin



the NUCLEAR, or EXTENDED FAMILY within which a person was raised. As a chief agent of SOCIALIZATION, the family of origin provides the social, cultural and linguistic background with which the person may continue to identify and be influenced by throughout life.



a generalization of the concept of direction on a line to more complex geometrical figures.

Orientation on a line. A point can move along a line in two opposite directions. For example, on the horizontal line AB (Figure 1,a) it is possible to move either from right to left or from left to right. A line that has a specific direction indicated on it is termed an oriented line.

Orientation on a curve. Analogously to orientation on a line, every closed curve can be oriented either counterclockwise (Figure 1,b) or clockwise (Figure 1,c).

Orientation in a plane. If a region of a plane is bounded by a simple closed curve, that is, a closed curve free of multiple points, the curve can be oriented in two different directions. Orienting the curve orients the plane region the curve bounds. Two simple closed curves in a plane are considered to be identically oriented if when the curves are traversed in the indicated direction, the plane regions the curves bound remain on the same side, in both cases either on the right or on the left. For example, the curves in Figure 1,b and 1,d are oriented in the same direction, but the curve in Figure 1,c has an opposite orientation. It is sufficient to choose the orientation of a single closed curve on the plane in order to define the corresponding orientation of all other such curves lying in the same plane.

A plane for which a specific orientation has been chosen for the simple closed curves it contains is called an oriented plane. Each plane can be oriented in two directions. The orientation of a plane can also be given by choosing a system of Cartesian coordinates. If the x-axis and the y-axis are chosen with specific positive directions, this choice corresponds to an orientation of the plane such that a circle centered on the origin is oriented in the direction from the positive x-axis to the positive y-axis. For example, the coordinate systems in Figure 1,e and 1,f define the

Figure 1

same orientation of the plane. The coordinate system in Figure 1,g is oriented in the opposite direction.

The coordinates (x, y) and (x′, y′) in two rectangular coordinate systems on the plane are linked by the relations

x′ = a11x + a12 + b1

y′ = a21x + a22 + b2

where the determinant

is nonzero. The coordinate systems (x, y) and (x′, y′) are oriented in the same direction if Δ > 0 and in opposite directions if Δ < 0. This fact can be used to construct a rigorous analytic theory of orientation on the plane. It is easy to see that the set S of all rectangular coordinate systems can be divided into two subsets S′ and S″ such that all the coordinate systems in S′ are related by transformations with Δ > 0, as are all the systems in S″, and any coordinate system in S′ is related to a coordinate system in S′ by a transformation with Δ < 0. Choosing an orientation of the plane means choosing one of the sets S″ or S″. The choice of orientation on a plane determines the signs of angles located in the plane and of the areas bounded by oriented closed curves. For example, the formula

for the area s bounded by the closed curve c, which is oriented in the direction indicated by the arrow, leads in a right-handed coordinate system (Figure 1,e and 1,0 to a positive area for Figure 1,b and 1,d and to a negative area for Figure 1,c. Conversely, in a left-handed coordinate system (Figure 1,g) the area s, as computed by the above formula, will be positive for Figure 1,c and negative for Figure 1,b and 1,d.

Orientation of a surface. The orientation of any surface dividing space into two parts, for example, a sphere, can be defined in a manner similar to the above definition of the orientation of a plane. Let us consider regions of the surface that are bounded by simple closed curves. To orient such a surface region means to choose a specific orientation for the curve bounding the region. Two regions of a surface are said to be oriented the same way if when the curves bounding the regions are traversed in the indicated direction the regions remain on the same side. For example, the surfaces of the two cubes in Figure 1,h and 1,i are oriented in the same direction, but the surface of the cube in Figure 1,j is oriented in the opposite direction. A surface on which regions bounded by simple closed curves have a specific orientation is called an oriented surface. Not all surfaces can be oriented. Surfaces that bound a region of space, however, are always orientable.

Orientation of a space. When a closed surface bounds a certain region of three-dimensional space, the surface is said to have a right-handed orientation if its regions are oriented counterclockwise when viewed from the outside, like the cubes in Figure 1,h and 1,i. Conversely, the orientation of a closed surface bounding a region of space is considered to be left-handed if regions of the surface are oriented in a clockwise direction when viewed from outside, like the cube in Figure 1,j. The choice of a specific orientation for closed surfaces that lack self-intersections yields the orientation of the space. Thus, there are two possible orientations for three-dimensional space: right-handed and left-handed.

The orientation of three-dimensional space may also be established by choosing a system of Cartesian coordinates. Suppose we choose an x-axis, a y-axis, and a z-axis on each of which a positive direction is defined. The corresponding orientation of the space is then defined in the following way. Consider any tetrahedron OABC with vertex O at the origin and vertices A, B, and C lying, respectively, on the positive x-, y-, and z-axes (Figure 1,k and 1,1), and assume that the triangle ABC on the surface of the tetrahedron is oriented in the order ABC, that is, from the x-axis to the y-axis and then to the z-axis. The orientation of the tetrahedron’s surface is thereby defined, as is, consequently, the orientation of the entire space. The choice of axes in Figure 1,k corresponds to a right-handed orientation of space, and the choice in Figure 1,1 corresponds to a left-handed orientation of space. This principle divides the coordinate systems in space into right-handed and left-handed systems. The choice of spatial orientation determines the sign of volumes bounded by oriented surfaces, the sense of the vector product of two vectors, and so forth.

Both left-handed and right-handed coordinate systems are used in scientific literature. For example, a left-handed system is widely used in Soviet works on mathematics, while a right-handed system is used in engineering and physics.

The concept of orientation can be extended to multidimensional spaces.



the determination of one’s position relative to the points of the compass by means of a compass, map, or aerial photograph. Approximate orientation is possible using local natural and artificial points of reference or the position of the sun, moon, and stars, as well as with the aid of radio, light, and sound signals.


The directions of the axes of a crystal lattice relative to the surfaces of the crystal, to applied fields, or to some other planes or directions of interest.
The physical positioning of a directional antenna or other device having directional characteristics.
Establishment of the correct relationship in direction with reference to the points of the compass.
A choice of sense or direction in a topological space.
An ordering p0, p1, …, pn of the vertices of a simplex, two such orderings being regarded as equivalent if they differ by an even permutation.
For a simple graph, a directed graph that results from assigning a direction to each of the edges.
The direction of some vector or set of vectors, such as the direction of the electric vector and the propagation direction of plane polarized light, or the direction of a preponderance of nuclear spins in a crystal near absolute zero, relative to some other directions of interest.
Any process in which vectors associated with atoms or molecules in the substance are organized relative to some direction, rather than pointed at random; examples include dipole moments of polar molecules in an electric field, and nuclear spins in a crystal in a magnetic field at temperatures near absolute zero.
(physical chemistry)
The arrangement of radicals in an organic compound in relation to each other and to the parent compound.
Determination of one's relation to the environment.


1. The placement of a structure on a site with regard to local conditions of sunlight, wind, and drainage.
2. The siting of a Christian church so that the main altar is housed toward the east end of the building, a common ritual disposition.
3. The relationship of a building site plan to the points of a compass.


i. The determination of the attitude of aircraft by external visual cues.
ii. Turning the instrument or map until the datum point or meridian is aligned with the datum point or true meridian on earth.


1. position or positioning with relation to the points of the compass or other specific directions
2. Chiefly US and Canadian
a. a course, programme, lecture, etc., introducing a new situation or environment
b. (as modifier): an orientation talk
3. Psychol the knowledge of one's own temporal, social, and practical circumstances in life
4. Biology the change in position of the whole or part of an organism in response to a stimulus, such as light
5. Chem the relative dispositions of atoms, ions, or groups in molecules or crystals
6. Archit the siting of a church on an east-west axis, usually with the altar at the E end


In typography, the direction of print across a page. See portrait and orientation agnostic.
References in periodicals archive ?
Table 1 Shows the frequency of the structural, Orientational and Entity and substance Metaphors in "Quit India" and some examples from the text.
The five types of metaphors are structural (literal systematic comparisons), orientational (spatial, directional), ontological (descriptive for states, events, emotions), personification (human traits ascribed to inanimate objects) and metonymy (conceptual shorthand that captures the whole from the part).
The topics include the classification of key attributes of soft material gradients, orientational anchoring of liquid crystals on surfaces presenting continuous gradients in composition, making gradient patterns by electron-beam chemical lithography with monomolecular resists, effects of rough substrates and thermal fields on the directed assembly of block copolymer films, and morphological gradients on different sized scales and their application in biological studies.
Other issues are approving of a timetable for orientational meetings proposed by Council's permanent committees, in addition to approving the Media Strategic Document of State Council.
In addition, we strive to produce a method for analyzing stochastic fibre systems (Mecke and Stoyan, 1980) in such cases in which the "rose of directions" as a measure of orientational anisotropy does not necessarily provide sufficient means for characterizing the system.
Indeed, the great aesthetic and ideological systems that nourished prior literature ceased functioning as orientational models and thus the Galician narrative of the 1980s did not experience a rupture but entered into a stage we can classify as autodestructive.
Microstructure of aphanitic clay is less sericitizated and is obviously orientational.
How then shall we interpret the psychological grounds of this orientational mode?
The metaphors in this schema are organized into four groups: attenuated metaphors, orientational metaphors, personification of nature and an adaptation metaphor.
A tensorial modelling of the 3D influence of the fixture errors on the orientational geometric specifications, Advances in Production Engineering & Management (APEM), Vol.
If not, it might not perhaps be possible to rule out a reasoning that their orientational splits are due in part to the socialization impact of associations on cultivating democratic attitudes and activities.

Full browser ?