Line of greatest slope

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In topography, the line of greatest slope is a curve following the steepest slope. It is always orthogonal to the contour lines. Mathematically it is determined by the gradient of the height, taken as a potential field, so the lines of greatest slope are the analogon of lines of force.

If inertial forces and terrain roughness are set side, a ball rolling down a slope, or water flowing down, will follow the line of greatest slope.

In geomorphology the line of continuous, maximum descent from any point on a land surface is known as a thalweg.[1]

[edit] References

  1. Glossary Of Landform and Geologic Terms, in National Soil Survey Handbook, Part 629.02(c), United States Department of Agriculture, Natural Resouces Conservation Service
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