Tangent (disambiguation)

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A tangent , in geometry, is a straight line through a point on a curve that has the same direction at that point as the curve.

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Tangent may also refer to:

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In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.

<span class="mw-page-title-main">Clavichord</span> Musical instrument

The clavichord is a stringed rectangular keyboard instrument that was used largely in the Late Middle Ages, through the Renaissance, Baroque and Classical eras. Historically, it was mostly used as a practice instrument and as an aid to composition, not being loud enough for larger performances. The clavichord produces sound by striking brass or iron strings with small metal blades called tangents. Vibrations are transmitted through the bridge(s) to the soundboard.

Origin(s) or The Origin may refer to:

Singularity or singular point may refer to:

<span class="mw-page-title-main">Slope</span> Mathematical term

In mathematics, the slope or gradient of a line is a number that describes the direction and steepness of the line. Often denoted by the letter m, slope is calculated as the ratio of the vertical change to the horizontal change between two distinct points on the line, giving the same number for any choice of points. A line descending left-to-right has negative rise and negative slope. The line may be physical – as set by a road surveyor, pictorial as in a diagram of a road or roof, or abstract.

<span class="mw-page-title-main">Tangent</span> 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 that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is tangent to the 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.

Stargate SG-1 is a military science fiction adventure television series within Metro-Goldwyn-Mayer's Stargate franchise. The show, created by Brad Wright and Jonathan Glassner, is based on the 1994 science fiction film Stargate by Dean Devlin and Roland Emmerich. The television series was filmed in and around the city of Vancouver, British Columbia, Canada. The series premiered on Showtime on July 27, 1997, and moved to the Sci Fi Channel on June 7, 2002; the series finale aired on Sky1 on March 13, 2007.

<span class="mw-page-title-main">Curvature</span> Mathematical measure of how much a curve or surface deviates from flatness

In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane. If a curve or surface is contained in a larger space, curvature can be defined extrinsically relative to the ambient space. Curvature of Riemannian manifolds of dimension at least two can be defined intrinsically without reference to a larger space.

<span class="mw-page-title-main">Geodesic</span> Straight path on a curved surface or a Riemannian manifold

In geometry, a geodesic is a curve representing in some sense the shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection. It is a generalization of the notion of a "straight line".

In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant intersects the circle at exactly two points. A chord is the line segment determined by the two points, that is, the interval on the secant whose ends are the two points.

Moebius, Mœbius, Möbius or Mobius may refer to:

<span class="mw-page-title-main">Affine connection</span> Construct allowing differentiation of tangent vector fields of manifolds

In differential geometry, an affine connection is a 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 on the manifold with values in a fixed vector space. Connections are among the simplest methods of defining differentiation of the sections of vector bundles.

Stargate is an adventure military science fiction franchise.

<span class="mw-page-title-main">Stargate (device)</span> Portal device within the Stargate fictional universe

A Stargate is a fictional Einstein–Rosen bridge portal device within the Stargate fictional universe that allows practical, rapid travel between two distant locations. The devices first appeared in the 1994 Roland Emmerich film Stargate, and thereafter in the television series Stargate SG-1, Stargate Infinity, Stargate Atlantis, Stargate Universe, and Stargate Origins. In these productions, the Stargate functions as a plot device, allowing the main characters to visit alien planets without the need for spaceships or any other type of technology. The device allows for near-instantaneous teleportation across both interstellar and extragalactic distances.

Stargate is a military science fiction media franchise based on the film directed by Roland Emmerich, which he co-wrote with producer Dean Devlin. The franchise is based on the idea of an alien wormhole device that enables nearly instantaneous travel across the cosmos. The franchise began with the film Stargate, released on October 28, 1994, by Metro-Goldwyn-Mayer and Carolco, which grossed US$197 million worldwide. In 1997, Brad Wright and Jonathan Glassner created a television series titled Stargate SG-1 as a sequel to the film. This show was joined by Stargate Atlantis in 2004, Stargate Universe in 2009, and a prequel web series, Stargate Origins, in 2018. Also consistent with the same story are a variety of books, video games and comic books, as well as the direct-to-DVD movies Stargate: Children of the Gods, Stargate: The Ark of Truth, and Stargate: Continuum, which concluded the first television show after 10 seasons.

In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface. It is sometimes called an asymptotic line, although it need not be a line.

Mythology of <i>Stargate</i> Mythology in the Stargate franchise

The mythology of the Stargate franchise is a complex and eclectic fictional backstory, which is presented as being historical, of the Stargate premise. A "rich mythology and world-building" are used to establish "a vast cosmology and an interesting alternate take on the history of Earth"; a defining feature is "its use of ancient mythology, with stories that take inspiration from multiple places around the globe". Narratives center around xeno-mythology as experienced by humans during episodic contact with alien races. Audiences across a variety of platforms - including TV series, novels, comics and movies - witness the people of Earth exploring a fictional universe using the Stargate. Species established early on in the franchise recur throughout, with one adversary often dominating a particular story arc, which can continue across several seasons.

<i>Stargate</i> literature

Stargateliterature comprises the novels and short stories in the Stargate franchise fictional universe as well as a non-fiction devoted to the franchise. Stargate literary works follow no strict continuity with the series or each other and are often considered to be non-canon. There is a period of roughly a year between the original idea for a novel and the finalized product, causing problems for authors as they are unaware as to how the franchise will develop and change during the writing process. Despite this, the editors of Stargate literature function as the medium between the author and the production company.

<span class="mw-page-title-main">Centre (geometry)</span> Middle of the object in geometry

In geometry, a centre or center of an object is a point in some sense in the middle of the object. According to the specific definition of centre taken into consideration, an object might have no centre. If geometry is regarded as the study of isometry groups, then a centre is a fixed point of all the isometries that move the object onto itself.

<span class="mw-page-title-main">Convex curve</span> Type of plane curve

In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes. Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions. Important subclasses of convex curves include the closed convex curves, the smooth curves that are convex, and the strictly convex curves, which have the additional property that each supporting line passes through a unique point of the curve.