Slope 3 (Trench Wall)
Slope 3 (Trench Wall) : (1) An oblique direction; a line or direction including from a horizontal line or direction; also, sometimes, an inclination, as of one line or surface to another. (2) Any ground whose surface forms an angle with the plane of the horizon. " buildings the summit and slope of a hill." (Macaulay) "Under the slopes of Pisgah." (Deut. Iv. 49. (Rev. Ver)) A slope, considered as descending, is a declivity; considered as ascending, an acclivity. Geometry. Slope of a plane, the direction of the plane; as, parallel planes have the same slope. Origin: Formed (like abode fr. Abide) from OE. Slipen. See Slip. Source: Websters Dictionary. Slope or gradient of a line is a number that describes both the direction and thesteepness of the line. Slope is often denoted by the letter m. * The direction of a line is either increasing, decreasing, horizontal or vertical. **A line is increasing if it goesup towards the right. The slope is positive, i.e. m>0. **A line is decreasing if it goesdown towards the right. The slope is negative, i.e. m<0. **If a line is horizontal the slope is zero. This is a constant function. **If a line is vertical the slope is undefined(see below). * The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan. The rise of a road between two points is the difference between the altitude of the road at those two points, say y1 and y2, or in other words, the rise is (y2 − y1) = Δy. For relatively short distances - where the earth's curvature may be neglected, the run is the difference in distance from a fixed point measured along a level, horizontal line, or in other words, the run is (x2 − x1) = Δx. Here the slope of the road between the two points is simply described as the ratio of the altitude change to the horizontal distance between any two points on the line. In mathematical language, the slope m of the line is:m=frac
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