osculating circle Antonyms
No Synonyms and anytonyms found
Meaning of osculating circle
Wordnet
osculating circle (n)
the circle that touches a curve (on the concave side) and whose radius is the radius of curvature
osculating circle Sentence Examples
- The osculating circle at a given point on a curve has the same curvature as the curve at that point.
- The osculating circle provides a local approximation to the curve at a specific location.
- The radius of the osculating circle is known as the curvature radius at that point.
- The center of the osculating circle is known as the center of curvature.
- In the case of a circle, the osculating circle is identical to the circle itself.
- The osculating circle is useful in understanding the behavior of curves in local neighborhoods.
- The osculating circle can be used to determine the osculating plane, which contains the osculating circle and the normal vector to the curve.
- The osculating circle is an important concept in differential geometry and has applications in areas such as physics and engineering.
- The osculating circle is used in the design of roller coasters to create smooth and exciting rides.
- The osculating circle is also used in the study of planetary motion to understand the curvature of orbits.
FAQs About the word osculating circle
the circle that touches a curve (on the concave side) and whose radius is the radius of curvature
No synonyms found.
No antonyms found.
The osculating circle at a given point on a curve has the same curvature as the curve at that point.
The osculating circle provides a local approximation to the curve at a specific location.
The radius of the osculating circle is known as the curvature radius at that point.
The center of the osculating circle is known as the center of curvature.
