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Unformatted text preview: What does each possibility lead to? 1. there is exactly on parallel; 2. there are no parallels; 3. there is more than one parallel. 1. was Euclid's 5th, led to exactly one parallel; 2. led to a contradiction, there cannot be "no parallels" 3. led to many counterintuitives, but no contradiction, there may be more than one parallel. 3. In perspective geometry, what is a point at infinity? A point where parallel lines meet. 4. Why do we say a three -dimensional boat sailing on the ocean is moving in only two dimensions? Because the location of the boat need only be tracked by two parameters....
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This note was uploaded on 04/29/2008 for the course REL 100 taught by Professor Depends during the Spring '08 term at Augsburg.
- Spring '08