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Article #2478Re: "map" of USA
From: Kanad Chakraborty
Date: Sun, 24 Jan 1993 15:45
Date: Sun, 24 Jan 1993 15:45
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In article <19692.2b617217@ecs.umass.edu> padmanab@ecs.umass.edu writes: >Suppose you have two maps of USA of different >scales. Now you place the smaller map inside >the bigger map such that it falls completely >within it. This is possible only if you don't include Alaska and Hawaii, and consider only the continental landmass that lies between Canada and Mexico. > >Condider each point on the map to be a distinct >city!! > >QUESTION: Are there any city/cities on the >smaller map which will coincide with the >city/cities on the bigger map? If so why? > Yes, if the larger map can be regarded as a projection of the smaller one -- this causes the point of projection to represent the same city in both maps. (Assumption : Alaska and Hawaii have not been considered.) >-Prasad Padmanabhan >Dept. of ECE >University of Massachusetts >Amherst, MA-01003 Kanad Chakraborty
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Path: arc1-ca.pugleaf.net!sparky!uunet!seismo!darwin.sura.net!spool.mu.edu!caen!umeecs!quip.eecs.umich.edu!kanad From: kanad@quip.eecs.umich.edu (Kanad Chakraborty) Newsgroups: rec.puzzles Subject: Re: "map" of USA Message-ID: <1993Jan24.154526.24491@zip.eecs.umich.edu> Date: 24 Jan 93 15:45:26 GMT References: <19692.2b617217@ecs.umass.edu> Sender: news@zip.eecs.umich.edu (Mr. News) Organization: University of Michigan EECS Dept., Ann Arbor Lines: 29