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Secant information


Secant is a term in mathematics derived from the Latin secare ("to cut"). It may refer to:

  • a secant line, in geometry
  • the secant variety, in algebraic geometry
  • secant (trigonometry) (Latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine
  • the secant method, a root-finding algorithm in numerical analysis, based on secant lines to graphs of functions
  • a secant ogive in nose cone design

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Secant

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up secant in Wiktionary, the free dictionary. Secant is a term in mathematics derived from the Latin secare ("to cut"). It may refer to: a secant line...

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Secant line

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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...

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Secant method

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the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method...

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Power of a point

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For the intersecting secants theorem and chord theorem the power of a point plays the role of an invariant: Intersecting secants theorem: For a point...

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Trigonometric functions

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tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric...

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Integral of the secant function

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In calculus, the integral of the secant function can be evaluated using a variety of methods and there are multiple ways of expressing the antiderivative...

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Circle

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not containing the centre of the circle to which their arc belongs to. Secant: an extended chord, a coplanar straight line, intersecting a circle in two...

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Inverse trigonometric functions

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Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any of the...

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Intersecting secants theorem

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the intersecting secants theorem or just secant theorem describes the relation of line segments created by two intersecting secants and the associated...

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Nose cone design

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ogive radius of a secant ogive is greater than the ogive radius of a tangent ogive with the same R and L, then the resulting secant ogive appears as a...

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Exsecant

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The external secant function (exsecant, symbolized exsec) is a trigonometric function defined in terms of the secant function: exsec ⁡ θ = sec ⁡ θ − 1...

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Secant plane

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A secant plane is a plane containing a nontrivial section of a sphere or an ellipsoid, or such a plane that a sphere is projected onto. Secant planes are...

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Tangent

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can be made more explicit by considering the sequence of straight lines (secant lines) passing through two points, A and B, those that lie on the function...

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Integral of secant cubed

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The integral of secant cubed is a frequent and challenging indefinite integral of elementary calculus: ∫ sec 3 ⁡ x d x = 1 2 sec ⁡ x tan ⁡ x + 1 2 ∫ sec...

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Hyperbolic functions

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ˈtæntʃ, ˈθæn/), hyperbolic cotangent "coth" (/ˈkɒθ, ˈkoʊθ/), hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic cosecant "csch" or "cosech" (/ˈkoʊsɛtʃ...

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Alternating permutation

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numbers, or up/down numbers. When n is even the number An is known as a secant number, while if n is odd it is known as a tangent number. These latter...

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Hyperbolic secant distribution

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In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and...

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Mean value theorem

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is at least one point at which the tangent to the arc is parallel to the secant through its endpoints. It is one of the most important results in real analysis...

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Secant variety

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In algebraic geometry, the secant variety Sect ⁡ ( V ) {\displaystyle \operatorname {Sect} (V)} , or the variety of chords, of a projective variety V ⊂...

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Slope

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points, the slope of the curve may be approximated by the slope of the secant line between two nearby points. When the curve is given as the graph of...

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Numerical differentiation

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approximations. A simple two-point estimation is to compute the slope of a nearby secant line through the points (x, f(x)) and (x + h, f(x + h)). Choosing a small...

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Deep foundation

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spacing of the piles can be varied to provide suitable bending stiffness. Secant pile walls are constructed such that space is left between alternate 'female'...

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Circular segment

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the rest of the disk by a straight line. The complete line is known as a secant, and the section inside the disk as a chord. More formally, a circular segment...

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Universal polar stereographic coordinate system

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stereographic projection. Specifically, the projection used in the system is a secant version based on an elliptical model of the earth. The scale factor at each...

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Full width at half maximum

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distribution function, related to solitons in optics, is the hyperbolic secant: f ( x ) = sech ⁡ ( x X ) . {\displaystyle f(x)=\operatorname {sech} \left({\frac...

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