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  2. Roof pitch - Wikipedia

    en.wikipedia.org/wiki/Roof_pitch

    Roof pitch is the steepness of a roof expressed as a ratio of inch(es) rise per horizontal foot (or their metric equivalent), or as the angle in degrees its surface deviates from the horizontal. A flat roof has a pitch of zero in either instance; all other roofs are pitched .

  3. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    (This is the angle α opposite the "rise" side of a triangle with a right angle between vertical rise and horizontal run.) as a percentage, the formula for which is which is equivalent to the tangent of the angle of inclination times 100. In Europe and the U.S. percentage "grade" is the most commonly used figure for describing slopes.

  4. Slope - Wikipedia

    en.wikipedia.org/wiki/Slope

    Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

  5. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    The elevation is the signed angle from the x-y reference plane to the radial line segment OP, where positive angles are designated as upward, towards the zenith reference. Elevation is 90 degrees (= ⁠ π / 2 ⁠ radians) minus inclination. Thus, if the inclination is 60 degrees (= ⁠ π / 3 ⁠ radians), then the elevation is 30 degrees ...

  6. Talk:Roof pitch - Wikipedia

    en.wikipedia.org/wiki/Talk:Roof_pitch

    I agree that there should be a single 'pitched roof' article. 'Roof pitch' is simply the angle or slope of a pitched roof. This (roof pitch) article also appears to be US-centric. In the UK construction industry and Building Regulations, roof pitch is quoted in degrees. 80.176.88.21 12:08, 29 March 2013 (UTC) Also agree with merge.

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  8. Vector projection - Wikipedia

    en.wikipedia.org/wiki/Vector_projection

    The scalar projection a on b is a scalar which has a negative sign if 90 degrees < θ ≤ 180 degrees. It coincides with the length ‖c‖ of the vector projection if the angle is smaller than 90°. More exactly: a 1 = ‖a 1 ‖ if 0° ≤ θ ≤ 90°, a 1 = −‖a 1 ‖ if 90° < θ ≤ 180°.

  9. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    To find the angle of a rotation, once the axis of the rotation is known, select a vector v perpendicular to the axis. Then the angle of the rotation is the angle between v and Rv. A more direct method, however, is to simply calculate the trace: the sum of the diagonal elements of the rotation