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  2. Euler angles - Wikipedia

    en.wikipedia.org/wiki/Euler_angles

    The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. [ 1 ] They can also represent the orientation of a mobile frame of reference in physics or the orientation of a general basis in three dimensional linear algebra .

  3. Combination square - Wikipedia

    en.wikipedia.org/wiki/Combination_square

    The protractor head has a flat reference edge which is attached to an adjustable 180° protractor or (sometimes called a turret) with a graduated scale in both directions for reading both the angle or the complement angle. [1] The protractor head sometimes includes a small spirit level. [4] [2] The centre finder head has two faces meeting at 90 ...

  4. Angular displacement - Wikipedia

    en.wikipedia.org/wiki/Angular_displacement

    Figure 2: A rotation represented by an Euler axis and angle. In three dimensions, angular displacement is an entity with a direction and a magnitude. The direction specifies the axis of rotation, which always exists by virtue of the Euler's rotation theorem ; the magnitude specifies the rotation in radians about that axis (using the right-hand ...

  5. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A green angle formed by two red rays on the Cartesian coordinate system. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [1] Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays

  6. Hilbert's axioms - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_axioms

    Let an angle ∠ (h,k) be given in the plane α and let a line a′ be given in a plane α′. Suppose also that, in the plane α ′, a definite side of the straight line a ′ be assigned. Denote by h ′ a ray of the straight line a ′ emanating from a point O ′ of this line.

  7. Knowing all the angles: Ancient Babylonians used tricky geometry

    www.aol.com/news/2016-01-29-knowing-all-the...

    The ancient Greeks also were known for using geometry, but the Babylonian tablets employ it in a more complex, abstract manner. The research was published in the journal Science. More on AOL.com:

  8. Square (tool) - Wikipedia

    en.wikipedia.org/wiki/Square_(tool)

    An L-shaped square used in woodworking for checking an inside or outside angle when assembling workpieces, such as boxes. They are designed to be rigid enough to be clamped in place. [17] [18] Set square, or triangle A set square is used in technical drawing, providing a straightedge at a right angle or another particular planar angle to a ...

  9. Coordinate system - Wikipedia

    en.wikipedia.org/wiki/Coordinate_system

    It assigns three numbers (known as coordinates) to every point in Euclidean space: radial distance r, polar angle θ , and azimuthal angle φ . The symbol ρ ( rho ) is often used instead of r . In geometry , a coordinate system is a system that uses one or more numbers , or coordinates , to uniquely determine the position of the points or ...

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