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  2. Midpoint method - Wikipedia

    en.wikipedia.org/wiki/Midpoint_method

    The midpoint method is a refinement of the Euler method. and is derived in a similar manner. The key to deriving Euler's method is the approximate equality. which is obtained from the slope formula. and keeping in mind that. For the midpoint methods, one replaces (3) with the more accurate.

  3. Riemann sum - Wikipedia

    en.wikipedia.org/wiki/Riemann_sum

    The values of the sums converge as the subintervals halve from top-left to bottom-right. In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann.

  4. Midpoint circle algorithm - Wikipedia

    en.wikipedia.org/wiki/Midpoint_circle_algorithm

    A circle of radius 23 drawn by the Bresenham algorithm. In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It's a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]

  5. Great-circle navigation - Wikipedia

    en.wikipedia.org/wiki/Great-circle_navigation

    The midpoint of the geodesic is φ = −7.07°, λ = −159.31°, α = −57.45°. Gnomonic chart Admiralty Gnomonic Chart of the Indian and Southern Oceans, for use in plotting great circle tracks. A straight line drawn on a gnomonic chart is a portion of a great circle. When this is transferred to a Mercator chart, it becomes a curve.

  6. Midpoint - Wikipedia

    en.wikipedia.org/wiki/Midpoint

    Circle. The midpoint of any diameter of a circle is the center of the circle. Any line perpendicular to any chord of a circle and passing through its midpoint also passes through the circle's center. The butterfly theorem states that, if M is the midpoint of a chord PQ of a circle, through which two other chords AB and CD are drawn, then AD and ...

  7. Bisection method - Wikipedia

    en.wikipedia.org/wiki/Bisection_method

    A few steps of the bisection method applied over the starting range [a 1 ;b 1 ]. The bigger red dot is the root of the function. In mathematics, the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs. The method consists of repeatedly bisecting the interval ...

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