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Geometric Constructions - Mathematical and Statistical ...

Geometric ConstructionsPhilosophy of ConstructionsConstructions using compass and straightedge have a long history in Euclidean geometry. Their use reflects the basic axioms of this system. However, the stipulation that these be the only tools used in a construction is artificial and only has meaning if one views the process of construction as an application of logic. In other words, this is not a practical subject, if one is interested in constructing a geometrical object there is no reason to limit oneself as to which tools to use.

The ancient dividers can do everything that modern compasses can. Of course, this means that how certain constructions were done by the ancient Greeks are quite different from the way we would do them today. This underscores the statement above; technique is not as important as understanding why it works.

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www-math.ucdenver.edu

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