C1 noun フォーマル

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.

例文

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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.

語族

名詞
cotangency
形容詞
cotangent
関連
tangency
💡

覚え方のコツ

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

クイックテスト

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

正解!

正解は: cotangency

例文

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.

語族

名詞
cotangency
形容詞
cotangent
関連
tangency

よく使う組み合わせ

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

よく使うフレーズ

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

よく混同される語

cotangency vs cotangent

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

📝

使い方のコツ

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.

⚠️

よくある間違い

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

💡

覚え方のコツ

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

📖

語源

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

文法パターン

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

クイックテスト

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

正解!

正解は: cotangency

関連単語

contrahumary

C1

Describing an ideology, action, or technology that opposes or deviates from standard human nature, ethics, or biological limitations. It is frequently used in academic contexts to discuss concepts that challenge traditional humanistic values or the preservation of the human essence.

disanthropine

C1

To divest of human characteristics, interests, or associations. This verb is primarily used to describe the process of removing human-centric bias or stripping a subject of its human qualities to achieve a more objective or alien perspective.

overformant

C1

Describing a sound or speech signal that possesses excessive or exaggerated resonant frequencies known as formants. In acoustics and phonetics, this term refers to an unnatural vocal quality where spectral peaks are over-emphasized, often occurring in synthetic speech.

homochroner

C1

To synchronize or align multiple events, data points, or historical records so that they occur or are represented within the same chronological time frame. This technical verb is primarily used in specialized academic or data-driven contexts to ensure temporal consistency across different variables.

underclarful

C1

To explain a concept or process in a way that is intentionally or unintentionally less clear than the original subject, often by using excessive jargon or convoluted logic. It describes the act of obfuscating a topic while ostensibly trying to clarify it.

ansalvty

C1

To meticulously examine discarded, failed, or complex material in order to extract and recover specific items of value. This verb is primarily used in technical and analytical contexts where the recovery process requires a high degree of precision and scrutiny.

rechronship

C1

A specialized term referring to the process or state of re-establishing chronological order or temporal alignment between disparate data sets, events, or historical records. It is typically used in technical contexts to describe the restoration of a logical time-based sequence after a disruption or error.

anteportfy

C1

A structural or conceptual preliminary entrance or staging area located before a main gate or portal. It functions as a buffer zone for security, sorting, or preparation before entry into a primary restricted space.

antisolist

C1

Describing a preference for collective or ensemble performance rather than individual soloing. It characterizes an artistic or philosophical approach that prioritizes group harmony and collaborative contribution over the spotlighting of a single individual.

trifigous

C1

A trifigous is a specialized term for a structure or arrangement that possesses three distinct parts, prongs, or branches radiating from a common center. In technical and test-specific contexts, it often refers to a specific geometric configuration used to describe junctions or biological branching patterns.

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