tangentˈtæn dʒənt
tangent (n)
- plural
- tangents
tangent
English Definitions:
tangent (noun)
a straight line or plane that touches a curve or curved surface at a point but does not intersect it at that point
tangent, tan (noun)
ratio of the opposite to the adjacent side of a right-angled triangle
tangent (Noun)
A straight line touching a curve at a single point without crossing it there.
tangent (Noun)
A topic nearly unrelated to the main topic, but having a point in common with it.
tangent (Noun)
A small metal blade by which a clavichord produces sound.
tangent (Noun)
In a right triangle, the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Symbols: tan, tg
tangent (Adjective)
Touching a curve at a single point but not crossing it at that point.
tangent (Adjective)
Of a topic, only loosely related to a main topic.
Tangent
In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. Informally, it is a 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 on the curve if the line passes through the point on the curve and has slope f' 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. 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.
Tangent
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".
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"tangent." Kamus.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.kamus.net/english/tangent>.
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