C1 noun Formal

cotangency

/koʊˈtændʒənsi/

Cotangency is a geometric property describing the state of two curves or surfaces that touch each other at a single point and share a common tangent line or plane at that point. It implies that the slopes or derivatives of the curves are identical at the point of contact without the curves necessarily crossing one another.

Exemplos

3 de 5
1

The artist carefully positioned the two spheres to highlight their point of cotangency.

The artist carefully positioned the two spheres to highlight their point of cotangency.

2

In advanced calculus, the cotangency of these two functions must be proven before proceeding with the theorem.

In advanced calculus, the cotangency of these two functions must be proven before proceeding with the theorem.

3

If you look at where the tires meet the road, you can see the cotangency in action.

If you look at where the tires meet the road, you can see the cotangency in action.

Família de palavras

Substantivo
cotangency
Adjetivo
cotangent
Relacionado
tangency
💡

Dica de memorização

Remember 'Co-' (together) and 'tangent' (touching); cotangency is when two things touch together perfectly at one point.

Quiz rápido

The engineer checked the ________ of the two pipes to ensure there was no overlap in the blueprint.

Correto!

A resposta correta é: cotangency

Exemplos

1

The artist carefully positioned the two spheres to highlight their point of cotangency.

everyday

The artist carefully positioned the two spheres to highlight their point of cotangency.

2

In advanced calculus, the cotangency of these two functions must be proven before proceeding with the theorem.

formal

In advanced calculus, the cotangency of these two functions must be proven before proceeding with the theorem.

3

If you look at where the tires meet the road, you can see the cotangency in action.

informal

If you look at where the tires meet the road, you can see the cotangency in action.

4

The researcher focused on the cotangency conditions of non-linear manifolds within a multi-dimensional space.

academic

The researcher focused on the cotangency conditions of non-linear manifolds within a multi-dimensional space.

5

We need to ensure the cotangency of our supply chains to prevent any gaps in the manufacturing process.

business

We need to ensure the cotangency of our supply chains to prevent any gaps in the manufacturing process.

Família de palavras

Substantivo
cotangency
Adjetivo
cotangent
Relacionado
tangency

Colocações comuns

point of cotangency the specific location where two curves touch
maintain cotangency to keep two surfaces touching at a single tangent point
cotangency condition the mathematical requirements for tangency to occur
geometrical cotangency tangency specifically regarding shapes and curves
perfect cotangency an exact point of contact without crossing

Frases Comuns

at the point of cotangency

at the exact location where the lines touch

cotangency relation

the mathematical relationship between two tangent entities

cotangency theorem

a formal rule regarding tangent points

Frequentemente confundido com

cotangency vs cotangent

Cotangent is a specific trigonometric ratio (1/tan), while cotangency is the state of being tangent.

📝

Notas de uso

Cotangency is primarily used in mathematical, architectural, and engineering contexts to describe the precise alignment of shapes. In business or general English, it is used metaphorically to describe things that align or touch without overlapping.

⚠️

Erros comuns

Learners often use the word 'cotangent' (the adjective/trig function) when they mean 'cotangency' (the noun describing the state).

💡

Dica de memorização

Remember 'Co-' (together) and 'tangent' (touching); cotangency is when two things touch together perfectly at one point.

📖

Origem da palavra

Derived from the Latin 'co-' (together) and 'tangere' (to touch).

Padrões gramaticais

uncountable noun often followed by the preposition 'of' plural form is 'cotangencies' (rare)

Quiz rápido

The engineer checked the ________ of the two pipes to ensure there was no overlap in the blueprint.

Correto!

A resposta correta é: cotangency

Palavras relacionadas

to

A1

Used to indicate the place, person, or thing that someone or something moves toward. It can also mark the recipient of an action or the limit of a range.

and

A1

A primary conjunction used to connect words, phrases, or clauses that are grammatically equal. It indicates addition, a sequence of events, or a relationship between two things.

a

A1

A word used before a singular noun that is not specific or is being mentioned for the first time. It is used only before words that begin with a consonant sound to indicate one of something.

that

A1

This word is a demonstrative pronoun used to indicate a specific person, object, or idea that is further away in space or time from the speaker. It is also used to refer back to something that has already been mentioned or to introduce a clause that identifies something.

I

A1

The pronoun 'I' is used by a speaker or writer to refer to themselves as the subject of a verb. It is the first-person singular subject pronoun in English and is always capitalized regardless of its position in a sentence.

for

A1

Used to show who is intended to have or use something, or to explain the purpose or reason for an action. It is also frequently used to indicate a specific duration of time.

not

A1

A function word used to express negation or denial. It is primarily used to make a sentence or phrase negative, often following an auxiliary verb or the verb 'to be'.

with

A1

A preposition used to indicate that people or things are together, in the same place, or performing an action together. It can also describe the instrument used to perform an action or a characteristic that someone or something has.

he

A1

A pronoun used to refer to a male person or animal that has already been mentioned or is easily identified. It functions as the subject of a sentence.

you

A1

Used to refer to the person or people that the speaker is addressing. It is the second-person pronoun used for both singular and plural subjects and objects.

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