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  2. Distance from a point to a line - Wikipedia

    en.wikipedia.org/.../Distance_from_a_point_to_a_line

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  3. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    If G is the intersection of this tangent and the axis, the line passing through G and perpendicular to CD is the directrix (solid green). The focus (F) is at the intersection of the axis and a line passing through E and perpendicular to CD (dotted yellow). The latus rectum is the line segment within the curve (solid yellow).

  4. Line segment - Wikipedia

    en.wikipedia.org/wiki/Line_segment

    A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry , a line segment is often denoted using an overline ( vinculum ) above the symbols for the two endpoints, such as in AB .

  5. Tractrix - Wikipedia

    en.wikipedia.org/wiki/Tractrix

    In geometry, a tractrix (from Latin trahere 'to pull, drag'; plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a pulling point (the tractor) that moves at a right angle to the initial line between the object and the puller at an ...

  6. Polar coordinate system - Wikipedia

    en.wikipedia.org/wiki/Polar_coordinate_system

    The arc length (length of a line segment) defined by a polar function is found by the integration over the curve r(φ). Let L denote this length along the curve starting from points A through to point B, where these points correspond to φ = a and φ = b such that 0 < b − a < 2π.

  7. Mean line segment length - Wikipedia

    en.wikipedia.org/wiki/Mean_line_segment_length

    In geometry, the mean line segment length is the average length of a line segment connecting two points chosen uniformly at random in a given shape. In other words, it is the expected Euclidean distance between two random points, where each point in the shape is equally likely to be chosen.

  8. 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]

  9. Piecewise linear function - Wikipedia

    en.wikipedia.org/wiki/Piecewise_linear_function

    Since the graph of an affine(*) function is a line, the graph of a piecewise linear function consists of line segments and rays. The x values (in the above example −3, 0, and 3) where the slope changes are typically called breakpoints, changepoints, threshold values or knots.