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Terms of orientation

Terms of orientation is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Terms of orientation rather than just read about it. In short: In linguistics, terms of orientation, terms of location, or spatial words are common descriptors used to indicate the spatial positioning of objects in three-dimensional space, including notions of top, bottom, front, back, left side, and right side as used in everyday language and interactions. Assigning these to objects then allows things to be described in relation to the object, above, below, in front of, behind…

Terms of orientation — main illustration
Terms of orientation — illustration

Key takeaways

  • Terms of orientation belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Terms of orientation to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Terms of orientation from memory before moving on to harder problems.

Reference excerpt

In linguistics, terms of orientation, terms of location, or spatial words are common descriptors used to indicate the spatial positioning of objects in three-dimensional space, including notions of top, bottom, front, back, left side, and right side as used in everyday language and interactions. Assigning these to objects then allows things to be described in relation to the object, above, below, in front of, behind, beside, and so forth.

Basic concepts Linguist Eve V. Clark notes that "many objects in the world around us have an inherent orientation that we usually take for granted". One of the first learning tasks that children are presented with is learning the difference between the top and bottom of things, and the front and back of things. Children tend to first learn to understand the concept of things having a top, as demonstrated by the tendency to initially identify the uppermost surface of a set of shelves as the place to add a new object, ignoring lower shelves. The orientation assigned to an object can differ depending on the vantage point and intent of the observer:

The reference frame [for an object] can be established in different ways. One way is to use the intrinsic orientation of the reference object. In this case, the regions that are above, below, in front of, behind, to the left of, and to the right of the reference objects are the regions which are adjacent to the top, bottom, front, back, left side, and right side, respectively. If the intrinsic orientation of the reference object is used to establish the reference frame, I am referring to the intrinsic use of the corresponding prepositions. Thus, in intrinsic use, two arguments are needed for a locative description: the primary object and the reference object. For objects having a clearly discernible top and bottom, these aspects are determined by gravity, with the surface of the object tending to be closer to gravitational pull being the bottom, and the surface of the object tending to be farther from gravitational pull being the top. However, these distinction "do not distinguish between intrinsic tops and bottoms and absolute or environmental tops and bottoms", such as when an object has fallen over. For example, "a candle has an intrinsic top and bottom, because its canonical position is upright with certain defining features at each end. Even when a candle has fallen over, we can still talk about its top and bottom". Where an object does not inherently have such characteristics , the assignment of a top, bottom, and the like, is temporary and contingent. "If the reference object doesn't have an intrinsic orientation, or its intrinsic orientation isn't used for establishing the frame of reference, factors of the situational context determine the reference frame". Terms describing the orientation of objects extend to the positional relationships of those objects relative to other objects, such as above, below, in front of, behind, and beside. The Cambridge Dictionary notes that "we usually use above, but not over, when there is no contact between the things referred to. Over or on top of have a more general meaning, and can be used when one thing touches or covers another". These universal terms are then easily translated to metaphorical concepts, such as being "on top of things", or of happiness being at the "top" of emotional states and sadness being at the "bottom".

Specialized terms in specific fields Various specialized language is used in specific fields to identify, for example, anatomical terms of location (such as "anterior and posterior", "dorsal and ventral", or "proximal and distal") or geometric terms of location (such as "circumferential", "tangential", "parallel", and "orthogonal"). In everyday life, however, people generally use simpler and more universal terms. Orientational terms are often relative to the viewer, such that a person facing multiple objects from one vantage point may see one object as being on the right side of another, while a person facing those objects from a different vantage point may see the relationship differently. For some uses, where it is necessary to avoid confusion from differences in viewpoint, separate terminology is used to describe the sides of things. For example, proper right and proper left are conceptual terms used to unambiguously convey relative direction when describing an image or other object. The "proper right" hand of a figure is the hand that would be regarded by that figure as its right hand. In stagecraft, blocking is used to designate portions of the stage in an absolute sense, with stage right, stage left, upstage, and downstage being used to refer to the same direction relative to the stage, irrespective of the position of the viewer. Similarly, port and starboard are nautical terms for watercraft, aircraft and spacecraft, referring respectively to the left and right sides of the vessel, when aboard and facing the bow (front). Port and starboard unambiguously refer to the left and right side of the vessel, not the observer. That is, the port side of the vessel always refers to the same portion of the vessel's structure, and does not depend on which way the observer is facing. The port side is the side to the left of an observer aboard the vessel and facing the bow, towards the direction the vehicle is heading when underway. The starboard side is thus to the right of such an observer.

Orientation in living things

The existence of anatomical terms of location is a reflection of the tendency of living things, more than naturally occurring nonliving objects, to have an orientation, described by the concept of body relative direction. Aristotle reasoned that concepts of "front" and "back" were only relevant to animals with the ability to perceive these relative positions. An analysis of Aristotle's writings on the subject summed it up as follows:

… excerpt ends here. Continue reading the full article.

Illustrations

Terms of orientation illustration
Terms of orientation illustration
Terms of orientation illustration
Terms of orientation illustration
Terms of orientation illustration

Worked examples

Example 1 — a first encounter with Terms of orientation

Start with the simplest possible case. Write down what Terms of orientation claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Terms of orientation before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Terms of orientation ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Terms of orientation

In research
Terms of orientation appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Terms of orientation in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Terms of orientation is common in secondary-school and first-year university syllabi. It links to neighbouring topics Orientation (geometry), Position, so understanding it makes those chapters shorter.
In everyday life
Look for Terms of orientation outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Terms of orientation in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Terms of orientation means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Terms of orientation out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Terms of orientation in simple terms?

In linguistics, terms of orientation, terms of location, or spatial words are common descriptors used to indicate the spatial positioning of objects in three-dimensional space, including notions of top, bottom, front, back, left side, and right side as used in everyday language and interactions. As…

Why does Terms of orientation matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Terms of orientation?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Terms of orientation.

Tags

  • Orientation (geometry)
  • Position

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