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Contour line



         


A contour line (also isopleth, level set, isogram or isarithm) for a function of two variables is a curve connecting points where the function has a particular value. A contour map is a map showing contour lines.

The gradient of the function is always perpendicular to the contour lines. When the lines are close together the gradient is large: the variation is steep.

Different types of contour lines are given different names according to the nature of the quantity involved:

"Iso" can be replaced with "isallo" to give it the meaning of a line connecting points where some variable has changed at the same rate during some time period.

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