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Jul 8, 2024 · Study with Quizlet and memorise flashcards containing terms like What is a topographic map?, What are topographic contours?, What are five essential pieces of information found on all topographic maps? and others.
A contour line (also known as a level curve) for a given surface is the curve of intersection of the surface with a horizontal plane, z = c. A representative collection of contour lines, projected onto the xy -plane, is a contour map or contour plot of the surface.
One special kind of map is called a topographic map. It has contour lines to show the shape and elevation of the land. They are sometimes called "level lines" because they show points that are at the same level. Here's how contour lines work: The top of this drawing is a con-tour map showing the hills that are illustrated at the bottom.
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How are topographic maps able to show three-dimensional objects like hills on a two-dimensional object like a piece of paper? They do it by using contour lines. Contour Lines are curves that connect points of equal elevation. Each contour line on a map has a number that represents the elevation of the line (usually the height above sea level).
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The topographic map displayed below shows two marked elevations near the bottom of the map. The 266-foot elevation is slightly left of the center of the map and the 24-foot benchmark is on the right side.
A topographical map contains curved lines called contour lines. Each contour line corresponds to the points on the map that have equal elevation (Figure 1). A level curve of a function of two variables [latex]f\,(x,\ y)[/latex] is completely analogous to a counter line on a topographical map.
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Level curves are the equivalent of contours on a topographical map. In such a map the terrain is shown by drawing curves through all points which have the same height above sea level. The numbers on the curves in the map shown below are the heights above sea level in metres.
