
Definition of Tangent plane
1. Noun. The plane that contains all the lines tangent to a specific point on a surface.
Definition of Tangent plane
1. Noun. (context: differential geometry) Given a point ''P'' on a surface ''M'', the tangent plane of ''M'' at point ''P'', denoted by ''T_{P}(M)'', is the plane passing through P which contains the tangent lines of all the curves on ''M'' passing through ''P''. ¹
¹ Source: wiktionary.com
Tangent Plane Pictures
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Lexicographical Neighbors of Tangent Plane
Literary usage of Tangent plane
Below you will find example usage of this term as found in modern and/or classical literature:
1. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1862)
"Hence any tangent plane is intersected by a consecutive tangent plane in the
diameter of the indicatrix which is conjugate to the direction to which the ..."
2. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"It will be remembered that the section by a tangent plane is a cubic having a double
... Writing the equation of the surface (the tangent plane being s], ..."
3. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1882)
"It will be remembered that the section by a tangent plane is a cubic having a
double point, and therefore having only three points of inflexion lying on a ..."
4. Differential and Integral Calculus by Clyde Elton Love (1916)
"tangent plane to a surface. It can be shown that all the lines tangent to a
surface at a point P : (z0, y0, z0) lie in a plane,* the tangent plane to the ..."
5. Differential and Integral Calculus by Clyde Elton Love (1916)
"tangent plane to a surface. It can be shown that all the lines tangent to a
surface 2 = /O, #) at a point P : (z0, #0, z0) lie in a plane,* the tangent ..."
6. A Treatise on the Analytic Geometry of Three Dimensions by George Salmon (1865)
"If the tangent plane pass through one of the right lines on the cubic, the section
by it consists of the right line x and a conic, and may be written x3 + ..."
7. Descriptive Geometry by Gardner Chace Anthony, George Francis Ashley (1909)
"The tangent plane must contain the apex of the cone and a line through the apex
... Draw the traces of the required tangent plane through the traces of the ..."