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A contour line (also isoline, isopleth, isoquant or isarithm) of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. [1][2] It is a plane section of the three-dimensional graph of the function parallel to the -plane. More generally, a contour line for a function of ...
After locating contour points smooth contour lines are drawn connecting corresponding points on a contour line. French curves may be used for drawing smooth lines. A surveyor should not lose the sight of the characteristic feature on the ground. Every fifth contour line is made thicker for easy readability.
Aug 28, 2023 · Updated: May 27. Contour mapping is a technique used in cartography and geography to represent the three-dimensional shape and elevation of the Earth's surface on a two-dimensional map. Contour maps display lines called "contour lines" that connect points of equal elevation above a reference datum, typically mean sea level.
- History of Contour Lines
- Types and Applications of Contour Lines
- Features of Contour Lines in Contour Maps
- Topographic Map Tools
The use of lines joining points of equal value has been existent since a long time although they were known by names other than contour lines. The first recorded use of contour lines were made to illustrate the depth of the river Spaarne located near Haarlem by a Dutchman named Pieter Bruinsz in the year 1584. Contour lines denoting constant depth ...
Contour lines have been used extensively in maps and representation of graphical and statistical data. These can be drawn as plan view or as a profile view. Plan view allows the representation of the map in a way an observer would see it from above. The profile view is often a parameter that is mapped vertically. For e.g. terrains of a location can...
Contour maps not only allow a representation of the elevation on an elevation mapor depths of the terrains, the features of the contour lines that are drawn in the map but also allows a greater understanding of the terrains that is being mapped.
The traditional paper maps are not the only way to of contour mapping. Though they are important but with advancement in technology, maps are now in digital form. There are number of tools, mobile apps and softwares available to help you with it. These maps will be more accurate, very quick to make, easily modifiable and you can send these to your ...
Level Curves and Contour Plots. Level curves and contour plots are another way of visualizing functions of two variables. If you have seen a topographic map then you have seen a contour plot. Example: To illustrate this we first draw the graph of z = x2 + y2. On this graph we draw contours, which are curves at a fixed height z = constant.
Aug 31, 2019 · If the topographic map in Figure 3.6 has a fractional scale of 1:12,000 then 1 inch is equal to 12,000 inches or 1000ft; this 1inch = 1000ft equivalency is for the horizontal scale. When we hold a ruler to the y-axis of the topographic profile in Figure 3.6, we see that 0.5 inches = 50ft, which means 1 inch = 100ft on the vertical scale.
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of visualization is through their contour diagrams or contour maps. A contour diagram is, in essence, a \topographical map" of the graph of z = f(x;y). A topographical map is a two-dimensional visualization of three-dimensional terrain through the so-called level curves or contours corresponding to points of equal elevation. Example 1.
