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  • Curve of constant width — A Reuleaux triangle is a curve of constant width. The sides of the square are supporting lines: each touches the curve but does not intersect the interior. The Reuleaux triangle can be rotated whilst always touching each side of the square in a… …   Wikipedia

  • Tangent half-angle formula — In various applications of trigonometry, it is useful to rewrite the trigonometric functions (such as sine and cosine) in terms of rational functions of a new variable t . These identities are known collectively as the tangent half angle formulae …   Wikipedia

  • Curve sketching — In geometry, curve sketching (or curve tracing) includes techniques that can used to produce a rough idea of overall shape of a plane curve given its equation without computing the large numbers of points required for a detailed plot. It is an… …   Wikipedia

  • Pedal curve — Geometric construction of the pedal of C with respect to P In the differential geometry of curves, a pedal curve is a curve derived by construction from a given curve (as is, for example, the involute). Let C be a given curve and P a fixed point… …   Wikipedia

  • Bézier curve — Cubic Bézier curve A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case. In… …   Wikipedia

  • Brachistochrone curve — A Brachistochrone curve (Gr. βραχίστος, brachistos the shortest, χρόνος, chronos time), or curve of fastest descent, is the curve between two points that is covered in the least time by a point like body that starts at the first point with zero… …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… …   Wikipedia

  • Secant line — A secant line of a curve is a line that (locally) intersects two points on the curve. The word secant comes from the Latin secare , for to cut .It can be used to approximate the tangent to a curve, at some point P . If the secant to a curve is… …   Wikipedia

  • Subtangent — In geometry, the subtangent is the projection of the tangent upon the axis of abscissas (i.e., the x axis). Tangent here specifically means a line segment which is tangential to a point P on a curve and which intersects the x axis at point Q .… …   Wikipedia

  • geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

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