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

  1. The osculating circle at a given point on a curve has the same curvature as the curve at that point.
  2. The osculating circle provides a local approximation to the curve at a specific location.
  3. The radius of the osculating circle is known as the curvature radius at that point.
  4. The center of the osculating circle is known as the center of curvature.
  5. In the case of a circle, the osculating circle is identical to the circle itself.
  6. The osculating circle is useful in understanding the behavior of curves in local neighborhoods.
  7. The osculating circle can be used to determine the osculating plane, which contains the osculating circle and the normal vector to the curve.
  8. The osculating circle is an important concept in differential geometry and has applications in areas such as physics and engineering.
  9. The osculating circle is used in the design of roller coasters to create smooth and exciting rides.
  10. 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.