Dictionary
search :       browse : 
A B C D E F G H I J K L M
  N O P Q R S T U V W X Y Z
         
Description
Related Terms
Everyday Examples
Interactive Checkpoint
More Information
Challenge
How to use this dictionary
Contact
 Description  
 Line:  One of the basic undefined terms of geometry. A line has no thickness but its length goes on forever in two directions.
Two fundamental objects in geometry are points and lines. Even though we claim a certain amount of familiarity with these objects, we find it difficult to describe them due to their undefined nature. "It might be well to expand on what is meant by undefined. We do not mean that any word that is undefined is understood by everyone, or that everyone will attach the same meaning to the word. Essentially, we mean that such a word is uninterpreted. In various situations different interpretations can be given to the undefined word. For example, 'line' may be interpreted as a pencil mark drawn along the edge of a ruler, as a line of sight for a surveyor, as a string held tight between two people. What we are trying to do in these examples is to point out that 'line' in a given context has a meaning, or interpretation, associated with it"(Geometry: A perspective view, p4.) It's a bit like trying to describe the taste of salt; we aren't quite sure how to describe it and to each person it might taste a little different.