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
Synonyms & Antonyms of circle of curvature
No Synonyms and anytonyms found
circle of curvature Sentence Examples
- 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.
- 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.
- The curvature of a curve varies along its length, resulting in different circle of curvature at different points.
- Calculating the circle of curvature involves determining the center and radius of the circle that best fits the curve at a particular point.
- Differential geometry offers mathematical tools for studying the properties of curves, including the circle of curvature.
- 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.
- The study of the circle of curvature helps understand the shape and behavior of curves in various fields, including physics and computer graphics.
- 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
the circle that touches a curve (on the concave side) and whose radius is the radius of curvature
No synonyms found.
No antonyms found.
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.
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.
