circle of curvature Synonyms

No Synonyms and anytonyms found

circle of curvature Meaning

Wordnet

circle of curvature (n)

the circle that touches a curve (on the concave side) and whose radius is the radius of curvature

circle of curvature Sentence Examples

1. In mathematics, a circle of curvature refers to the circle that best approximates the curve of a given point on a curve.
2. At any point on a curve, the circle of curvature provides insight into the curve's local behavior.
3. The radius of the circle of curvature represents the radius of the best-fitting circle at that specific point.
4. Engineers and architects use the concept of the circle of curvature to design smooth curves in structures and roads.
5. The curvature of a curve varies along its length, resulting in different circle of curvature at different points.
6. Calculating the circle of curvature involves determining the center and radius of the circle that best fits the curve at a particular point.
7. Differential geometry offers mathematical tools for studying the properties of curves, including the circle of curvature.
8. A circle of curvature can be visualized as the osculating circle at a given point on a curve, touching the curve at that point with the same curvature.
9. The study of the circle of curvature helps understand the shape and behavior of curves in various fields, including physics and computer graphics.
10. Advanced mathematical techniques are employed to analyze the circle of curvature and its significance in describing curves' geometric properties.

FAQs About the word circle of curvature

What is the meaning of the word circle of curvature

the circle that touches a curve (on the concave side) and whose radius is the radius of curvature

What are the synonyms of the word circle of curvature

No synonyms found.

What are the antonyms of the word circle of curvature

No antonyms found.

What is the usage of word circle of curvature

In mathematics, a circle of curvature refers to the circle that best approximates the curve of a given point on a curve.

At any point on a curve, the circle of curvature provides insight into the curve's local behavior.

How to use the word circle of curvature in a sentence?

The radius of the circle of curvature represents the radius of the best-fitting circle at that specific point.

Engineers and architects use the concept of the circle of curvature to design smooth curves in structures and roads.