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  2. Midpoint - Wikipedia

    en.wikipedia.org/wiki/Midpoint

    Given two points of interest, finding the midpoint of the line segment they determine can be accomplished by a compass and straightedge construction.The midpoint of a line segment, embedded in a plane, can be located by first constructing a lens using circular arcs of equal (and large enough) radii centered at the two endpoints, then connecting the cusps of the lens (the two points where the ...

  3. Midpoint theorem (triangle) - Wikipedia

    en.wikipedia.org/wiki/Midpoint_theorem_(triangle)

    The midpoint theorem generalizes to the intercept theorem, where rather than using midpoints, both sides are partitioned in the same ratio. [1] [2] The converse of the theorem is true as well. That is if a line is drawn through the midpoint of triangle side parallel to another triangle side then the line will bisect the third side of the triangle.

  4. Midpoint theorem - Wikipedia

    en.wikipedia.org/wiki/Midpoint_theorem

    Midpoint theorem, also known as Midpoint formula This page was last edited on 19 August 2023, at 12:53 (UTC). Text is available under the Creative Commons Attribution ...

  5. Midpoint polygon - Wikipedia

    en.wikipedia.org/wiki/Midpoint_polygon

    In geometry, the midpoint polygon of a polygon P is the polygon whose vertices are the midpoints of the edges of P. [ 1 ] [ 2 ] It is sometimes called the Kasner polygon after Edward Kasner , who termed it the inscribed polygon "for brevity".

  6. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    The implicit midpoint method is of second order. It is the simplest method in the class of collocation methods known as the Gauss-Legendre methods . It is a symplectic integrator .

  7. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    In an axiomatic treatment of geometry, the notion of betweenness is either assumed to satisfy a certain number of axioms, or defined in terms of an isometry of a line (used as a coordinate system). Segments play an important role in other theories. For example, in a convex set, the segment that joins any two points of the set is contained in ...

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  9. Midpoint method - Wikipedia

    en.wikipedia.org/wiki/Midpoint_method

    The midpoint method computes + so that the red chord is approximately parallel to the tangent line at the midpoint (the green line). In numerical analysis , a branch of applied mathematics , the midpoint method is a one-step method for numerically solving the differential equation ,

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