C1 noun رسمي

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.

أمثلة

3 من 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.

عائلة الكلمة

اسم
cotangency
صفة
cotangent
مرتبط
tangency
💡

نصيحة للحفظ

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

اختبار سريع

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

صحيح!

الإجابة الصحيحة هي: cotangency

أمثلة

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.

عائلة الكلمة

اسم
cotangency
صفة
cotangent
مرتبط
tangency

تلازمات شائعة

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

العبارات الشائعة

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

يُخلط عادةً مع

cotangency vs cotangent

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

📝

ملاحظات الاستخدام

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.

⚠️

أخطاء شائعة

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

💡

نصيحة للحفظ

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

📖

أصل الكلمة

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

أنماط نحوية

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

اختبار سريع

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

صحيح!

الإجابة الصحيحة هي: cotangency

كلمات ذات صلة

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B2

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B2

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B2

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