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What does grade mean in geometry?

Published in Geometry Terminology 1 min read

In geometry, "grade" refers to the tangent of the angle that a surface makes with the horizontal. In simpler terms, it's a measure of steepness or slope.

Essentially, "grade" (in the US) or "gradient" (in the UK) indicates how much a surface rises (or falls) vertically for every unit of horizontal distance. It's also sometimes called stepth, slope, incline, mainfall, pitch or rise.

Here's a breakdown:

  • Definition: The tangent of the angle between the surface and a horizontal line.
  • Interpretation: It expresses the rate of change in height relative to horizontal distance.
  • Zero Grade: A grade of zero indicates a perfectly horizontal surface.

While "slope" is a more general term, "grade" specifically refers to the tangent of the angle formed with the horizontal.

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