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  2. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The denominator of this expression is the distance between P 1 and P 2. The numerator is twice the area of the triangle with its vertices at the three points, (x 0,y 0), P 1 and P 2. See: Area of a triangle § Using coordinates.

  3. Curve sketching - Wikipedia

    en.wikipedia.org/wiki/Curve_sketching

    Specifically, draw a diagonal line connecting two points on the diagram so that every other point is either on or to the right and above it. There is at least one such line if the curve passes through the origin. Let the equation of the line be qα+pβ=r. Suppose the curve is approximated by y=Cx p/q near the origin.

  4. Ackermann steering geometry - Wikipedia

    en.wikipedia.org/wiki/Ackermann_steering_geometry

    The steering pivot points [clarification needed] are joined by a rigid bar called the tie rod, which can also be part of the steering mechanism, in the form of a rack and pinion for instance. With perfect Ackermann, at any angle of steering, the centre point of all of the circles traced by all wheels will lie at a common point.

  5. Great-circle distance - Wikipedia

    en.wikipedia.org/wiki/Great-circle_distance

    A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...

  6. Line–line intersection - Wikipedia

    en.wikipedia.org/wiki/Line–line_intersection

    First we consider the intersection of two lines L 1 and L 2 in two-dimensional space, with line L 1 being defined by two distinct points (x 1, y 1) and (x 2, y 2), and line L 2 being defined by two distinct points (x 3, y 3) and (x 4, y 4). [2] The intersection P of line L 1 and L 2 can be defined using determinants.

  7. Newmark's influence chart - Wikipedia

    en.wikipedia.org/wiki/Newmark's_influence_chart

    In 1883, he solved the problem of stresses produced at any point in a homogeneous, elastic, isotropic soil medium as the result of a point load applied on the surface of an infinitely large half-space. [1] Nathan Mortimore Newmark (1910-1981) attended Rutgers University. He graduated in 1930 with High Honors and Special Honors in civil engineering.

  8. Sketchpad - Wikipedia

    en.wikipedia.org/wiki/Sketchpad

    The geometric data or "N-component element" for a straight line is composed of addresses to two other N-component elements representing the end points of the line, which each contain an X and Y coordinate. [3] Sketchpad was the earliest program ever to use a complete graphical user interface. [2]

  9. Angular distance - Wikipedia

    en.wikipedia.org/wiki/Angular_distance

    When the rays are lines of sight from an observer to two points in space, it is known as the apparent distance or apparent separation. Angular distance appears in mathematics (in particular geometry and trigonometry) and all natural sciences (e.g., kinematics, astronomy, and geophysics).