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  2. Bearing (navigation) - Wikipedia

    en.wikipedia.org/wiki/Bearing_(navigation)

    The bearing angle value will always be less than 90 degrees. [1] For example, if Point B is located exactly southeast of Point A, the bearing from Point A to Point B is "S 45° E". [3] For example, if the bearing between Point A and Point B is S 45° E, the azimuth between Point A and Point B is 135°. [1] [3] Azimuths and bearings.

  3. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The sign of the azimuth is determined by designating the rotation that is the positive sense of turning about the zenith. This choice is arbitrary, and is part of the coordinate system definition. (If the inclination is either zero or 180 degrees (= π radians), the azimuth is arbitrary. If the radius is zero, both azimuth and inclination are ...

  4. Strike and dip - Wikipedia

    en.wikipedia.org/wiki/Strike_and_dip

    A feature's strike is the azimuth of an imagined horizontal line across the plane, and its dip is the angle of inclination (or depression angle) measured downward from horizontal. [1] They are used together to measure and document a structure's characteristics for study or for use on a geologic map . [ 2 ]

  5. Points of the compass - Wikipedia

    en.wikipedia.org/wiki/Points_of_the_compass

    32-point compass rose. The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography.A compass rose is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and ...

  6. Geographic coordinate conversion - Wikipedia

    en.wikipedia.org/wiki/Geographic_coordinate...

    Coordinate conversion is composed of a number of different types of conversion: format change of geographic coordinates, conversion of coordinate systems, or transformation to different geodetic datums. Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems.

  7. Sight reduction - Wikipedia

    en.wikipedia.org/wiki/Sight_reduction

    For the azimuth a diagram [7] was developed for a faster solution without calculation, and with an accuracy of 1°. Azimuth diagram by Hanno Ix. This diagram could be used also for star identification. [8] An ambiguity in the value of azimuth may arise since in the diagram .

  8. Axis–angle representation - Wikipedia

    en.wikipedia.org/wiki/Axis–angle_representation

    The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...

  9. Conversion between quaternions and Euler angles - Wikipedia

    en.wikipedia.org/wiki/Conversion_between...

    A direct formula for the conversion from a quaternion to Euler angles in any of the 12 possible sequences exists. [2] For the rest of this section, the formula for the sequence Body 3-2-1 will be shown. If the quaternion is properly normalized, the Euler angles can be obtained from the quaternions via the relations: