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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.
- Topographic Maps | Earth Science - Lumen Learning
People use topographic maps to locate surface features in a...
- Topographic Maps | Earth Science - Lumen Learning
Aug 10, 2020 · This video introduces level curves, or contours, and how we graph them in two dimensions to represent three-dimensional surfaces.
- 15 min
- 5.4K
- Math with Dr. Claire
The latitude and longitude coordinates of NRCan maps are found along the edge of a map (for example see the map of Canadian geology we studied in Chapter 1). On USGS topographic maps the latitude and longitude coordinates are found at the corners of the map (Figure 7.2).
- Karla Panchuk
- 2020
People use topographic maps to locate surface features in a given area, to find their way through a particular area, and to determine the direction of water flow in a given area. Oceanographers use bathymetric maps to depict the features beneath a body of water.
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.
For $c=1$, the level curve is $x^2-y^2=1$, which is a hyperbola passing vertically through the $x$-axis at the points $(\pm 1,0)$. For $c=2$, the level curve is $\left(\frac{x}{\sqrt{2}}\right)^2-\left(\frac{y}{\sqrt{2}}\right)^2=1$, which is a hyperbola passing vertically through the $x$-axis at the points $(\pm \sqrt{2},0)$.
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objectives: The student will: identify mountains and valleys on topographic maps; describe and make generalizations about regions in Alaska using a topographical map; and. write a paragraph about topographic maps.
