a pair of angles

USAGE SUMMARY

The phrase "a pair of angles" is correct and usable in written English.
It can be used in mathematical contexts when referring to two angles that are considered together, such as in geometry or trigonometry. Example: "In this triangle, we need to find the sum of a pair of angles that are adjacent to each other."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

As shown in Fig. 1, the surface normal vector [Nx,Ny,Nz] can be described using a pair of angles : θ = tan − 1 N x 2 + N y 2 N z.

Biomedical Optics Express

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Brenda Garand, the Dartmouth professor, picked up a C-clamp to which Fane had welded a pair of angle brackets.

The New Yorker

We assume the instantaneous state can be described by a pair of phases (angles on a circle).

The Journal of Mathematical Neuroscience

However, recent high-resolution radio images of some winged galaxies show sharp breaks where a pair of jets angles off in a new direction, rather than sweeping out gradual curves.

Science Magazine

We will use its solutions to construct a pair of action-angle variables.

Boundary Value Problems

Introducing a pair of action-angle variables ((J,vartheta)inmathbb {R}^{kappa}timesmathbb{T}^{kappa}) ((Bbb{T}^{kappa}:=Bbb {R}^{kappa}/2pi mathbb{Z}^{kappa})), one can obtain an equivalent Hamiltonian that does not depend on the time variable.

Boundary Value Problems

We introduce a pair of action-angle variables ((J,theta)inmathbb {R}^{m}timesmathbb{R}^{m}), (theta=omega t) with dot{theta}=omega,qquad dot{ J}=-frac{partial H}{partialtheta},qquad dot{z_{n}}=mathrm{i}frac{partial H}{partialbar{z}_{n}},qquad dot{bar{z}}_{n}=-mathrm{i}frac{partial H}{partial z_{n}},quad nin mathbb{Z}^{d}.

Boundary Value Problems

When Gwathmey's project, a pair of crisp, sharply angled structures covered in cedar siding, was finished, a year later, it became one of the most influential houses of the decade: a composition of cubes, cylinders, and triangles, it was a study in inventive modernist geometries.

The New Yorker

These data can be in the form of a longitudinal and azimuthal pair of angles representing a single configuration of the tensors, or more commonly, an array of angle pairs representing multiple orientations of the tensors to model a disordered ensemble of nuclear spin systems.

Journal of Cheminformatics

By measuring the relative reflected intensities over a range of directions, the grain orientation vector (usually expressed as a pair of surface and dive angles) can be estimated.

New Zealand Journal of Forestry Science

Meanwhile upstairs, there's a larger spilt-level apartment with two double bedrooms, wallpaper emblazoned with water lilies and a pair of black Eames chairs angled around a plasma television.

Independent

Expert writing Tips

Best practice

When describing geometric figures or spatial relationships, use "a pair of angles" to clearly indicate that you are referring to two specific angles being considered together.

Common error

Avoid using "a pair of angles" when referring to a single angle measurement or a more complex angular relationship. Ensure you are genuinely describing two distinct angles.

Linguistic Context

The phrase "a pair of angles" functions primarily as a noun phrase, often serving as the subject or object of a sentence. Ludwig AI indicates it is grammatically correct and usable. It denotes two angles considered together, often in a mathematical or geometrical context, as shown in the examples.

Expression frequency: Very common

Frequent in

Science

68%

News & Media

20%

Wiki

6%

Less common in

Encyclopedias

3%

Formal & Business

2%

Reference

1%

Ludwig's WRAP-UP

In summary, "a pair of angles" is a grammatically sound phrase, as confirmed by Ludwig, commonly used across various fields, particularly in science, mathematics, and geometry, to refer to two angles considered together. It functions as a noun phrase, serving to describe or refer to these angles within a given context. While its register can range from formal in scientific papers to more neutral in news articles, its primary purpose remains consistent: describing the concept of two angles. When using the phrase, it's essential to ensure that you genuinely are referring to two separate angles, rather than a single angle or a more complex angular relationship.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

two angles

Replaces "a pair of" with the direct numeral "two".

angle pair

Rearranges the words while keeping the same meaning.

two associated angles

Adds context by specifying that the angles are related.

a couple of angles

Uses a less formal synonym for "pair".

an angle couple

Reverses the word order and uses "couple" instead of "pair".

the two angles

Adds a definite article, implying specific angles.

corresponding angles

Suggests a specific relationship between the angles.

related angles

Highlights the connection or relationship between the angles.

a set of two angles

Emphasizes the collection of two angles.

double angle

Refers to a trigonometric concept where an angle is doubled.

FAQs

How can I use "a pair of angles" in a sentence?

You can use "a pair of angles" to describe a geometric shape, a spatial relationship, or a mathematical problem involving two angles. For example, "In this triangle, we need to find the sum of "a pair of angles" that are adjacent to each other".

What can I say instead of "a pair of angles"?

You can use alternatives like "two angles", "angle pair", or "two associated angles" depending on the context.

Which is correct, "a pair of angles" or "an angle pair"?

Both ""a pair of angles"" and "an angle pair" are grammatically correct, although "a pair of angles" is slightly more common. The best choice depends on the specific context and desired emphasis.

What's the difference between "a pair of angles" and "corresponding angles"?

"A pair of angles" is a general term for any two angles considered together. "Corresponding angles" refers to a specific geometric relationship where two angles occupy the same relative position at each intersection where a transversal crosses two lines.