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hyperbolic angle

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  • Hyperbolic angle — A hyperbolic angle in standard position is the angle at (0, 0) between the ray to (1, 1) and the ray to ( x , 1/ x ) where x > 1.The magnitude of the hyperbolic angle is the area of the corresponding hyperbolic sector which is loge x .Note that… …   Wikipedia

  • Hyperbolic triangle — In mathematics, the term hyperbolic triangle has more than one meaning.In the foundations of the hyperbolic functions sinh, cosh and tanh, a hyperbolic triangle is a right triangle in the first quadrant of the Cartesian plane :{(x,y):x,y in… …   Wikipedia

  • Hyperbolic coordinates — In mathematics, hyperbolic coordinates are a useful method of locating points in Quadrant I of the Cartesian plane :{(x, y) : x > 0, y > 0 } = Q !.Hyperbolic coordinates take values in :HP = {(u, v) : u in mathbb{R}, v > 0 }.For (x,y) in Q take… …   Wikipedia

  • Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …   Wikipedia

  • Hyperbolic sector — A hyperbolic sector is a region of the Cartesian plane {( x , y )} bounded by rays from the origin to two points ( a , 1/ a ) and ( b , 1/ b ) and by the hyperbola xy = 1.A hyperbolic sector in standard position has a = 1 and b > 1 .The area of a …   Wikipedia

  • Angle — This article is about angles in geometry. For other uses, see Angle (disambiguation). Oblique angle redirects here. For the cinematographic technique, see Dutch angle. ∠, the angle symbol In geometry, an angle is the figure formed by two rays… …   Wikipedia

  • Hyperbolic — Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the nature of,… …   The Collaborative International Dictionary of English

  • hyperbolic cosines — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Hyperbolic functions — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • Hyperbolic logarithm — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

  • hyperbolic sines — Hyperbolic Hy per*bol ic, Hyperbolical Hy per*bol ic*al, a. [L. hyperbolicus, Gr. ?: cf. F. hyperbolique.] 1. (Math.) Belonging to the hyperbola; having the nature of the hyperbola. [1913 Webster] 2. (Rhet.) Relating to, containing, or of the… …   The Collaborative International Dictionary of English

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