tangent plane Synonyms
No Synonyms and anytonyms found
tangent plane Meaning
Wordnet
tangent plane (n)
the plane that contains all the lines tangent to a specific point on a surface
tangent plane Sentence Examples
- The tangent plane to the sphere intersects the plane at a right angle.
- In differential geometry, a tangent plane is a plane that touches a surface at a single point.
- The equation of the tangent plane to a surface at a given point can be determined using the gradient of the surface at that point.
- The tangent plane to a hyperboloid is perpendicular to the line joining the point of contact to the center of the hyperboloid.
- The tangent plane to a surface can be used to approximate the surface locally.
- The concept of a tangent plane is fundamental to the study of differential geometry.
- The tangent plane to a curve is the plane that contains the velocity vector of the curve at the point of contact.
- The tangent plane to a curve can be used to determine the curvature of the curve at that point.
- The tangent plane to a surface can be used to determine the surface's normal vector.
- By understanding the concept of a tangent plane, we can analyze and describe the behavior of surfaces and curves in geometry and other mathematical contexts.
FAQs About the word tangent plane
the plane that contains all the lines tangent to a specific point on a surface
No synonyms found.
No antonyms found.
The tangent plane to the sphere intersects the plane at a right angle.
In differential geometry, a tangent plane is a plane that touches a surface at a single point.
The equation of the tangent plane to a surface at a given point can be determined using the gradient of the surface at that point.
The tangent plane to a hyperboloid is perpendicular to the line joining the point of contact to the center of the hyperboloid.
