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  2. Euler angles - Wikipedia

    en.wikipedia.org/wiki/Euler_angles

    The Euler or Tait–Bryan angles (α, β, γ) are the amplitudes of these elemental rotations. For instance, the target orientation can be reached as follows (note the reversed order of Euler angle application): The XYZ system rotates about the z axis by γ. The X axis is now at angle γ with respect to the x axis.

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    For example, the angle with vertex A formed by the rays AB and AC (that is, ... The equality of vertically opposite angles is called the vertical angle theorem.

  4. Transversal (geometry) - Wikipedia

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

    In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles ...

  5. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The sum of the internal angle and the external angle on the same vertex is π radians (180°). The sum of all the internal angles of a simple polygon is π (n −2) radians or 180 (n –2) degrees, where n is the number of sides. The formula can be proved by using mathematical induction: starting with a triangle, for which the angle sum is 180 ...

  6. Angle of view (photography) - Wikipedia

    en.wikipedia.org/wiki/Angle_of_view_(photography)

    For example, for 35 mm film which is 36 mm wide and 24 mm high, = would be used to obtain the horizontal angle of view and = for the vertical angle. Because this is a trigonometric function, the angle of view does not vary quite linearly with the reciprocal of the focal length.

  7. Vertex (geometry) - Wikipedia

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

    A vertex of an angle is the endpoint where two lines or rays come together. In geometry, a vertex (pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. [1][2][3]

  8. Vertical and horizontal - Wikipedia

    en.wikipedia.org/wiki/Vertical_and_horizontal

    Through any point P in the plane, there is one and only one vertical line within the plane and one and only one horizontal line within the plane. This symmetry breaks down as one moves to the three-dimensional case. A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line.

  9. Congruence (geometry) - Wikipedia

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

    Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles. The unchanged properties are called invariants. In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

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