Definitions for tangent plane
tan·gen·t plane

Princeton's WordNetRate this definition:0.0 / 0 votes

1. tangent planenoun

   the plane that contains all the lines tangent to a specific point on a surface

WiktionaryRate this definition:0.0 / 0 votes

1. tangent planenoun

   Given a point P on a surface M, the tangent plane of M at point P, denoted by T(M), is the plane passing through P which contains the tangent lines of all the curves on M passing through P.

WikipediaRate this definition:0.0 / 0 votes

1. tangent plane

   In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve y = f(x) at a point x = c if the line passes through the point (c, f(c)) on the curve and has slope f'(c), where f' is the derivative of f. A similar definition applies to space curves and curves in n-dimensional Euclidean space. As it passes through the point where the tangent line and the curve meet, called the point of tangency, the tangent line is "going in the same direction" as the curve, and is thus the best straight-line approximation to the curve at that point. The tangent line to a point on a differentiable curve can also be thought of as a tangent line approximation, the graph of the affine function that best approximates the original function at the given point.Similarly, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point. The concept of a tangent is one of the most fundamental notions in differential geometry and has been extensively generalized; see Tangent space. The word "tangent" comes from the Latin tangere, "to touch".

ChatGPTRate this definition:0.0 / 0 votes

1. tangent plane

   A tangent plane is a plane that touches a surface at a given point but does not intersect or cut through that surface. For a smooth three-dimensional surface, the tangent plane at a particular point is typically described by the surface’s partial derivatives at that point. This plane provides an approximation of the surface near the given point.

Matched Categories

1. • Plane

How to pronounce tangent plane?

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How to say tangent plane in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of tangent plane in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of tangent plane in Pythagorean Numerology is: 3

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=tangent plane
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Tangent_Plane
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Tangent_Plane
4. ^ ChatGPT
   https://chat.openai.com