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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. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    1.1.1.5 Degree 5. 1.1.1.6 Degree 6. ... Degree 1. Line; Degree 2. Plane curves of degree 2 are known as conics or conic sections and include Circle. Unit circle;

  4. List of steepest gradients on adhesion railways - Wikipedia

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

    1 in 12.7 (7.85%) Green Line B branch, Boston, Massachusetts, United States: The steepest gradients are near Washington Street station. [11] 1 in 13.7 (7.3%) Montreux–Lenk im Simmental line, Switzerland: 1 in 14 (7.1%) Driving Creek Railway, Coromandel, New Zealand: 1 in 14 (7.1%) Hopton Incline, Cromford and High Peak Railway, England

  5. Minute and second of arc - Wikipedia

    en.wikipedia.org/wiki/Minute_and_second_of_arc

    A minute of arc, arcminute (arcmin), arc minute, or minute arc, denoted by the symbol ′, is a unit of angular measurement equal to ⁠ 1 / 60 ⁠ of one degree. [1] Since one degree is ⁠ 1 / 360 ⁠ of a turn, or complete rotation, one arcminute is ⁠ 1 / 21 600 ⁠ of a turn.

  6. Degree of curvature - Wikipedia

    en.wikipedia.org/wiki/Degree_of_curvature

    Where degree of curvature is based on 100 units of arc length, the conversion between degree of curvature and radius is Dr = 18000/π ≈ 5729.57795, where D is degree and r is radius. Since rail routes have very large radii, they are laid out in chords, as the difference to the arc is inconsequential; this made work easier before electronic ...

  7. Angle of repose - Wikipedia

    en.wikipedia.org/wiki/Angle_of_repose

    The angle of repose, or critical angle of repose, [1] of a granular material is the steepest angle of descent or dip relative to the horizontal plane on which the material can be piled without slumping. At this angle, the material on the slope face is on the verge of sliding. The angle of repose can range from 0° to 90°.

  8. Curve fitting - Wikipedia

    en.wikipedia.org/wiki/Curve_fitting

    Polynomial curves fitting points generated with a sine function. The black dotted line is the "true" data, the red line is a first degree polynomial, the green line is second degree, the orange line is third degree and the blue line is fourth degree. The first degree polynomial equation = + is a line with slope a. A line will connect any two ...

  9. Special Report on Global Warming of 1.5 °C - Wikipedia

    en.wikipedia.org/wiki/Special_Report_on_Global...

    Holding this rise to 1.5 °C avoids the worst effects of a rise by even 2 °C. However, a warming of even 1.5 degrees will still result in large-scale drought, famine, heat stress, species die-off, loss of entire ecosystems, and loss of habitable land, throwing more than 100 million into poverty.