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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. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    The value of the line function at this midpoint is the sole determinant of which point should be chosen. The adjacent image shows the blue point (2,2) chosen to be on the line with two candidate points in green (3,2) and (3,3). The black point (3, 2.5) is the midpoint between the two candidate points.

  4. List of coordinate charts - Wikipedia

    en.wikipedia.org/wiki/List_of_coordinate_charts

    Bipolar coordinates. Biangular coordinates Two-center bipolar coordinates. Euclidean space E 3: Polar spherical chart. Cylindrical chart. Elliptical cylindrical, hyperbolic cylindrical, parabolic cylindrical charts; Parabolic chart. Hyperbolic chart. Prolate spheroidal chart (rational and trigonometric forms) Oblate spheroidal chart (rational ...

  5. Earth section paths - Wikipedia

    en.wikipedia.org/wiki/Earth_section_paths

    The inverse problem for earth sections is: given two points, and on the surface of the reference ellipsoid, find the length, , of the short arc of a spheroid section from to and also find the departure and arrival azimuths (angle from true north) of that curve, and . The figure to the right illustrates the notation used here.

  6. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object X {\displaystyle X} in n {\displaystyle n} - dimensional space is the intersection of all hyperplanes that divide X {\displaystyle X} into two parts of equal moment about the hyperplane.

  7. Great-circle navigation - Wikipedia

    en.wikipedia.org/wiki/Great-circle_navigation

    For example, to find the midpoint of the path, substitute σ = 1 ⁄ 2 (σ 01 + σ 02); alternatively to find the point a distance d from the starting point, take σ = σ 01 + d/R. Likewise, the vertex, the point on the great circle with greatest latitude, is found by substituting σ = + 1 ⁄ 2 π. It may be convenient to parameterize the ...

  8. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow"). More generally, a chord is a line segment joining two points on any curve, for instance, on an ellipse. A chord that passes through a circle's center point is the circle's diameter.

  9. Section formula - Wikipedia

    en.wikipedia.org/wiki/Section_formula

    In coordinate geometry, the Section formula is a formula used to find the ratio in which a line segment is divided by a point internally or externally. [1] It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the center of mass of systems, equilibrium points, etc. [2] [3] [4] [5]