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  2. Grade (slope) - Wikipedia

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

    Slope may still be expressed when the horizontal run is not known: the rise can be divided by the hypotenuse (the slope length). This is not the usual way to specify slope; this nonstandard expression follows the sine function rather than the tangent function, so it calls a 45 degree slope a 71 percent grade instead of a 100 percent. But in ...

  3. 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.

  4. Stream gradient - Wikipedia

    en.wikipedia.org/wiki/Stream_gradient

    Stream gradient (or stream slope) is the grade (or slope) of a stream. It is measured by the ratio of drop in elevation and horizontal distance. [ 1 ] It is a dimensionless quantity , usually expressed in units of meters per kilometer (m/km) or feet per mile (ft/mi); it may also be expressed in percent (%).

  5. List of steepest gradients on adhesion railways - Wikipedia

    en.wikipedia.org/wiki/List_of_steepest_gradients...

    Balsam Mountain Grade, Balsam N.C. Balsam Mountain, home of highest railroad station east of the Rockies; average grade about 4.0%, max 4.5%. 1 of 2 grades on southern railways former Murphy branch that are +4% grade. Balsam Mountain has seen many runaways. It is still in service operated by the Blue Ridge Southern Railroad . 1 in 22 (4.5%)

  6. Gradian - Wikipedia

    en.wikipedia.org/wiki/Gradian

    In trigonometry, the gradian – also known as the gon (from Ancient Greek γωνία (gōnía) 'angle'), grad, or grade [1] – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees.

  7. Grade (climbing) - Wikipedia

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

    The WI-grade is for "hard ice"; steep snow slopes, which are encountered frequently on alpine climbing routes, are not explicitly graded but instead, their steepest angle (approximate figure or a range) is quoted (e.g. 60–70 degree slope). [25] [26] WI-grade is for "seasonal" hard ice; an AI prefix is used instead for "alpine ice", which is ...

  8. Ruling gradient - Wikipedia

    en.wikipedia.org/wiki/Ruling_gradient

    To compensate for this, the gradient should be a little less steep the sharper the curve is; the necessary grade reduction is assumed to be given by a simple formula such as 0.04 per cent per "degree of curve", the latter being a measure of curve sharpness used in the United States. On a 10-degree curve (radius 573.7 feet) the grade would thus ...

  9. Topographic Abney level - Wikipedia

    en.wikipedia.org/wiki/Topographic_Abney_Level

    Abney levels typically include scales graduated in measure degrees of arc, percent grade, and in topographic Abney levels, grade in feet per surveyor's chain, and chainage correction. The latter is the cosine of the angle, used to convert distances measured along the slope to horizontal distances. By using trigonometry the user of an Abney ...