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Map Projection (Posted on 2007-01-03) Difficulty: 2 of 5
A cartographer decides to make a map of the world using a 2-point equidistant projection.

The actual great-circle distance of any point on the map to be plotted is measured from a point on the equator at 45 degrees west longitude, and the same from 45 degrees east. These two distances are then reduced to the scale of the map. The mapping of that point is then the place on the map where the linear measures from the points representing (45 W, 0 N; 45 E, 0 N) are those reduced distances. There are, in general, two points that satisfy these conditions, so points north of the equator are plotted above the midline and points south of the equator are mapped in the bottom half of the projection.

How is the equator itself represented on the resulting map? Consider it the limiting case of non-equatorial points if you like--this might be helpful for part of the answer. If more than one shape results, specify the range of longitudes along the equator that produces each shape.

See The Solution Submitted by Charlie    
Rating: 4.2500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: thoughts and maybe a partial solution | Comment 2 of 4 |
(In reply to thoughts and maybe a partial solution by Leming)

The intention is to assume the earth is a sphere, and ignore the equatorial bulge.
  Posted by Charlie on 2007-01-03 10:27:02

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