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In mathematics, straight line touching a plane curve without crossing it
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at
Tangent
Topics referred to by the same term
Look up tangent in Wiktionary, the free dictionary. A tangent, in geometry, is a straight line through a point on a curve that has the same direction
Tangent_(disambiguation)
Slope of the stress-strain curve in solid mechanics
In solid mechanics, the tangent modulus is the slope of the stress–strain curve at any specified stress or strain. Below the proportional limit (the limit
Tangent_modulus
Progressive rock group
The Tangent is a British progressive rock group formed in 2002, led by keyboardist and singer Andy Tillison. The band was formed in 2002 by Parallel or
The_Tangent
Functions of an angle
commonly used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant
Trigonometric_functions
Vector tangent to a curve or surface at a given point
In mathematics, a tangent vector is a vector that is tangent to a curve or surface at a given point. Tangent vectors are described in the differential
Tangent_vector
Assignment of vector fields to manifolds
In mathematics, the tangent space of a manifold is a generalization of tangent lines to curves in two-dimensional space and tangent planes to surfaces
Tangent_space
Line which touches a circle at exactly one point
geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles
Tangent_lines_to_circles
Social networking organization for older British ladies
Tangent is a social networking organisation for ladies aged over 45, originally intended for former members of Ladies Circle, now open to any ladies.
Tangent_(club)
Tangent spaces of a manifold
A tangent bundle is the collection of all of the tangent spaces for all points on a manifold, structured in a way that it forms a new manifold itself.
Tangent_bundle
manifold. The fibre of the holomorphic tangent bundle over a point is the holomorphic tangent space, which is the tangent space of the underlying smooth manifold
Holomorphic_tangent_bundle
mathematics, a tangent Lie group is a Lie group whose underlying space is the tangent bundle TG of a Lie group G. As a Lie group, the tangent bundle is a
Tangent_Lie_group
Type of keyboard instrument
The tangent piano is a very rare keyboard instrument that resembles a harpsichord and early pianos in design. It normally features five octaves of keys
Tangent_piano
Atmospheric optical phemonenon
Tangent arcs are a type of halo, an atmospheric optical phenomenon, which appears above and below the observed Sun or Moon, tangent to the 22° halo. To
Tangent_arc
Concept in metric geometry
In metric geometry, the metric tangent cone of a metric space is a generalization of the tangent space from Riemannian geometry. It is obtained as a local
Metric_tangent_cone
Generalization of the tangent space to a manifold to the case of certain spaces
In geometry, the tangent cone is a generalization of the notion of the tangent space (applied to manifolds in the usual differential geometry setting)
Tangent_cone
DC Comics imprint
Tangent Comics is a DC Comics imprint created in 1997, developed from ideas by Dan Jurgens. The line, formed from 18 one-shots, focused on creating all-new
Tangent_Comics
Hyperbolic analogues of trigonometric functions
hyperbolic cosine "cosh" (/ˈkɒʃ, ˈkoʊʃ/), from which are derived: hyperbolic tangent "tanh" (/ˈtæŋ, ˈtæntʃ, ˈθæn/), hyperbolic cotangent "coth" (/ˈkɒθ, ˈkoʊθ/)
Hyperbolic_functions
In differential geometry, the tangent indicatrix of a closed space curve is a curve on the unit sphere intimately related to the curvature of the original
Tangent_indicatrix
Geometry theorem relating line segments created by a secant and tangent line
In Euclidean geometry, the tangent-secant theorem describes the relation of line segments created by a secant and a tangent line with the associated circle
Tangent–secant_theorem
Linear approximation of smooth maps on tangent spaces
pushforward is a linear approximation of smooth maps (formulating manifold) on tangent spaces. Suppose that φ : M → N {\displaystyle \varphi \colon M\to N} is
Pushforward_(differential)
the double tangent bundle or the second tangent bundle refers to the tangent bundle (TTM,πTTM,TM) of the total space TM of the tangent bundle (TM,πTM
Double_tangent_bundle
vertical tangent is a tangent line that is vertical. Because a vertical line has infinite slope, a function whose graph has a vertical tangent is not differentiable
Vertical_tangent
Circles related to a point in the plane
geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal
Tangent_circles
In measure theory, tangent measures are used to study the local behavior of Radon measures, in much the same way as tangent spaces are used to study the
Tangent_measure
geometry, the unit tangent bundle of a Riemannian manifold (M, g), denoted by T1M, UT(M), UTM, or SM is the unit sphere bundle for the tangent bundle T(M).
Unit_tangent_bundle
City in Oregon, United States
Tangent is a city in Linn County, Oregon, United States. The population was 1,231 at the 2020 census. Tangent was the site of a railway station on the
Tangent,_Oregon
Inverse functions of sin, cos, tan, etc.
restricted domains. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle
Inverse trigonometric functions
Inverse_trigonometric_functions
Plane curve: conic section
and the accompanying diagram show that the tangent BE bisects the angle ∠FEC. In other words, the tangent to the parabola at any point bisects the angle
Parabola
Geographic local coordinate system
Local tangent plane coordinates (LTP) are part of a spatial reference system based on the tangent plane defined by the local vertical direction and the
Local tangent plane coordinates
Local_tangent_plane_coordinates
Relates the tangent of half of an angle to trigonometric functions of the entire angle
trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle. The tangent of half an angle
Tangent_half-angle_formula
American video game developer
Gamigo Inc., doing business as WildTangent, is an American video game developer based in Round Rock, Texas. WildTangent was founded in 1998, and was acquired
WildTangent
Tangent spaces in algebraic geometry
In algebraic geometry, the Zariski tangent space is a construction that defines a tangent space at a point P on an algebraic variety V (and more generally)
Zariski_tangent_space
Theorem in differential topology
the hedgehog theorem) states that there is no non-vanishing continuous tangent vector field on even-dimensional n-spheres. For the ordinary sphere, or
Hairy_ball_theorem
North American supplier of train electronics and software
Tangent Corporation (QTC) is an independent North American supplier of train electronics and software for the rail transit industry. Quester Tangent designs
Quester_Tangent_Corporation
Circles tangent to all three sides of a triangle
triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of
Incircle_and_excircles
2005 studio album by Busdriver
Fear of a Black Tangent is the fourth studio album by American rapper Busdriver. It was originally released on Mush Records in 2005. In Europe, it was
Fear_of_a_Black_Tangent
Instantaneous rate of change (mathematics)
value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of
Derivative
Equation for radii of tangent circles
tangent circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to
Descartes'_theorem
Simple curve of Euclidean geometry
tangents can always be drawn to a circle from any point outside the circle, and these tangents are equal in length. If a tangent at A and a tangent at
Circle
Point where the incircle and nine-point circle of a triangle are tangent
incircle and nine-point circle of a non-equilateral triangle are internally tangent to each other at the Feuerbach point of the triangle. The Feuerbach point
Feuerbach_point
Measure-theoretic generalization of the concept of a tangent space
geometric measure theory an approximate tangent space is a measure theoretic generalization of the concept of a tangent space for a differentiable manifold
Approximate_tangent_space
Concept in category theory
algebraic geometry, the tangent space to a functor generalizes the classical construction of a tangent space such as the Zariski tangent space. The construction
Tangent_space_to_a_functor
Surface swept by tangents to a curve
a tangent developable is a particular kind of developable surface obtained from a curve in Euclidean space as the surface swept out by the tangent lines
Tangent_developable
Geometry problem about finding touching circles
plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (c. 262
Problem_of_Apollonius
Mathematical measure of how much a curve or surface deviates from flatness
curve is described by its tangent line. How sharply the curve is bending at that point can be measured by how much that tangent line changes direction per
Curvature
Mathematical term
the slope m of a line is related to its angle of inclination θ by the tangent function m = tan ( θ ) . {\displaystyle m=\tan(\theta ).} Thus, a 45°
Slope
Special function related to the dilogarithm
The inverse tangent integral is a special function, defined by: Ti 2 ( x ) = ∫ 0 x arctan t t d t {\displaystyle \operatorname {Ti} _{2}(x)=\int _{0}^{x}{\frac
Inverse_tangent_integral
Relates tangents of two angles of a triangle and the lengths of the opposing sides
In trigonometry, the law of tangents or tangent rule is a statement about the relationship between the tangents of two angles of a triangle and the lengths
Law_of_tangents
Theorem in plane geometry
three pairs of external tangent lines are collinear. For any two circles in a plane, an external tangent is a line that is tangent to both circles but does
Monge's_theorem
Directional planes
etc. A surface is horizontal if its tangent planes are everywhere perpendicular to the gravity vector at the tangent point or, equivalently, if the surface
Vertical_and_horizontal
Rate of change of velocity
\mathbf {u} _{\mathrm {t} }={\frac {\mathbf {v} }{v}}\,,} a unit vector tangent to the path pointing in the direction of motion at the chosen moment in
Acceleration
Electromagnetic energy dissipated by a dielectric
parameterized in terms of either the loss angle δ or the corresponding loss tangent tan(δ). Both refer to the phasor in the complex plane whose real and imaginary
Dielectric_loss
Video game series
Halo is an American military science fiction video game series and media franchise, originally developed by Bungie and currently managed and developed
Halo_(franchise)
Geometric concept
Descartes' theorem on the radii of mutually tangent quadruples of circles. Any triangle has three externally tangent circles centered at its vertices. Two more
Soddy_circles_of_a_triangle
Set of circles related by tangency
which are tangent to two given non-intersecting circles (blue and red in Figure 1), where n is finite and each circle in the chain is tangent to the previous
Steiner_chain
An infralateral arc (or lower lateral tangent arc) is a rare halo, an optical phenomenon appearing similar to a rainbow under a white parhelic circle
Infralateral_arc
Series of fighting video games
Gamespot. CBS Interactive. Retrieved August 4, 2013. "Pro Jumper! Guilty Gear Tangent!? Related Games". Gamespot. CBS Interactive. 23 June 2011. Retrieved August
Guilty_Gear
Fractal composed of tangent circles
starting with a triple of circles, each tangent to the other two, and successively filling in more circles, each tangent to another three. It is named after
Apollonian_gasket
Line or vector perpendicular to a curve or a surface
curve at a given point is the infinite straight line perpendicular to the tangent line to the curve at the point. A normal vector is a vector perpendicular
Normal_(geometry)
Smooth manifold with an inner product on each tangent space
smooth manifold is a smoothly varying choice of inner product for each tangent space of the manifold. A Riemannian manifold is a smooth manifold together
Riemannian_manifold
Plane curve: conic section
each point of which the rays to two fixed foci are reflections across the tangent line at that point, or as the solution of certain bivariate quadratic equations
Hyperbola
Shape with three sides
are a major focus of trigonometry. In particular, the sine, cosine, and tangent functions relate side lengths and angles in right triangles. A triangle
Triangle
Rational circle tangent to the real line
is a circle in the Euclidean plane, in a family of circles that are all tangent to the x {\displaystyle x} -axis at rational points. For each rational
Ford_circle
System of moving vectors in differential geometry
with an affine connection (a covariant derivative or connection on the tangent bundle), then this connection allows one to transport vectors of the manifold
Parallel_transport
Angle to the horizontal plane
is either the elevation angle of that surface to the horizontal or its tangent. It is a special case of the slope, where zero indicates horizontality
Grade_(slope)
Line that intersects a curve at least twice
with intersections at two points is called a secant line, at one point a tangent line and at no points an exterior line. A chord is the line segment that
Secant_line
Instrument to measure electric current
obtained. Tangent Galvanometer An 1850 Pouillet Tangent Galvanometer on display at Musée d'histoire des sciences de la Ville de Genève Tangent galvanometer
Galvanometer
Mathematical description of spacetime used in relativity
The tangent space at each event is a vector space of the same dimension as spacetime, 4. In practice, one need not be concerned with the tangent spaces
Minkowski_spacetime
Mathematical vector components
curve, that vector can be decomposed uniquely as a sum of two vectors, one tangent to the curve, called the tangential component of the vector, and another
Tangential and normal components
Tangential_and_normal_components
Change of variable for integrals involving trigonometric functions
The tangent half-angle substitution is a change of variables used for evaluating integrals, which converts a rational function of trigonometric functions
Tangent half-angle substitution
Tangent_half-angle_substitution
The Tangent EMG-5 (Electric Motor Glider Model 5) is a proposed single-place electric airplane designed to be certified in the US either as an FAR Part
Tangent_EMG-5
Hypersurface in hyperbolic space
sequence of increasing balls sharing (on one side) a tangent hyperplane and its point of tangency. For n = 2 a horosphere is called a horocycle. A horosphere
Horosphere
Circle packing
of tangent circles is an infinite sequence of circles arranged so that any four consecutive circles in the sequence are pairwise mutually tangent. This
Coxeter's loxodromic sequence of tangent circles
Coxeter's_loxodromic_sequence_of_tangent_circles
Chain of 6 spheres tangent to 3 given spheres
(shown in grey in Figure 1), each of which is tangent to both of its neighbors and also to three mutually tangent given spheres. In Figure 1, the three spheres
Soddy's_hexlet
Map from tangent space to the manifold
In Riemannian geometry, an exponential map is a map from a subset of a tangent space T p M {\displaystyle T_{p}M} of a Riemannian manifold (or pseudo-Riemannian
Exponential map (Riemannian geometry)
Exponential_map_(Riemannian_geometry)
Differentiable manifold with nondegenerate metric tensor
manifold in which the requirement of positive-definiteness is relaxed. Every tangent space of a pseudo-Riemannian manifold is a pseudo-Euclidean vector space
Pseudo-Riemannian_manifold
Texture mapping technique
reuse is made possible by encoding maps in tangent space. The tangent space is a vector space, which is tangent to the model's surface. The coordinate system
Normal_mapping
Assignment of a vector to each point in a subset of Euclidean space
subsets such as surfaces, where they associate an arrow tangent to the surface at each point (a tangent vector). More generally, vector fields are defined
Vector_field
Manifold upon which it is possible to perform calculus
terms, a tangent frame), is an ordered basis of particular tangent space. Likewise, a tangent frame is a linear isomorphism of Rn to this tangent space.
Differentiable_manifold
Construct allowing differentiation of tangent vector fields of manifolds
geometric object on a smooth manifold which connects nearby tangent spaces, so it permits tangent vector fields to be differentiated as if they were functions
Affine_connection
Musical instrument
sound by striking brass or iron strings with small metal blades called tangents. Vibrations are transmitted through the bridge(s) to the soundboard. The
Clavichord
Mathematics of smooth surfaces
as being tangent to S at p, and certain vectors in ℝ3 as being orthogonal (or normal) to S at p. One sees that the tangent space or tangent plane to S
Differential geometry of surfaces
Differential_geometry_of_surfaces
Dual space to the tangent space in differential geometry
isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector. Let M {\displaystyle
Cotangent_space
Type of differentiable manifold
{\displaystyle M} the tangent vectors { V 1 ( p ) , … , V n ( p ) } {\displaystyle \{V_{1}(p),\ldots ,V_{n}(p)\}} provide a basis of the tangent space at p {\displaystyle
Parallelizable_manifold
Musical artist
English guitarist, composer and record producer known as a member of The Tangent, Francis Dunnery's It Bites and Karnataka, as well as founding member of
Luke_Machin
Hamlet in Alberta, Canada
Tangent is a hamlet in northern Alberta, Canada within Birch Hills County, located along Alberta Highway 740, approximately 98 kilometres (61 mi) northeast
Tangent,_Alberta
Point where the curvature of a curve changes sign
point where the tangent meets the curve to order at least 3, and an undulation point or hyperflex is defined as a point where the tangent meets the curve
Inflection_point
Structure defining distance on a manifold
M is a bilinear form defined on the tangent space at p (that is, a bilinear function that maps pairs of tangent vectors to real numbers), and a metric
Metric_tensor
bias, and continuity parameters defined to change the behavior of the tangents. It was invented by Doris Kochanek of National Film Board of Canada and
Kochanek–Bartels_spline
Country in South Asia
the series expansions for trigonometric functions (sine, cosine, and arc tangent) by mathematicians of the Kerala school in the 15th century CE. Their work
India
Polygon whose four sides all touch a circle
quadrilateral (sometimes just tangent quadrilateral) or circumscribed quadrilateral is a convex quadrilateral whose sides all can be tangent to a single circle within
Tangential_quadrilateral
Type of kernel induced by artificial neural networks
In the study of artificial neural networks (ANNs), the neural tangent kernel (NTK) is a kernel that describes the evolution of deep artificial neural
Neural_tangent_kernel
Mathematical functions
inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic
Inverse_hyperbolic_functions
Formulas in differential geometry
More specifically, the formulas describe the derivatives of the so-called tangent, normal, and binormal unit vectors in terms of each other. The formulas
Frenet–Serret_formulas
Ring of circles between two tangent circles
In geometry, the Pappus chain is a ring of circles between two tangent circles investigated by Pappus of Alexandria in the 3rd century AD. Given two circles
Pappus_chain
Theorem in mathematics
over the whole interval. Geometrically, this means that at some point the tangent to the graph is parallel to the secant line through the interval's endpoints
Mean_value_theorem
A tang sight is the rear sight of a pair of iron sights used to aim or align a rifle so the bullet fired will hit the target. The sight is attached to
Tang_sight
Geometry and construction of the foremost tip of airplanes, spacecraft and projectiles
a chosen ogive radius ρ greater than or equal to the ogive radius of a tangent ogive with the same R and L: ρ ≥ R + L 2 R 2 α = arctan ( R L ) − arccos
Nose_cone_design
Investment portfolio which occupies the "efficient" parts of the risk-return spectrum
asset's return and tangent to the risky-assets-only opportunity set. All portfolios between the risk-free asset and the tangency portfolio are portfolios
Efficient_frontier
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