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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. Philosophy of Constructions The value of studying these Constructions lies in the rich supply of problems that can be posed in this way.

satirically barbs all the examples of weird and crackpot theories that he finds there. As he points out, these are just books that randomly came into his possession – he did not seek out any of this type of material. In the approximately 150 works he examined, there can be found 24 circle squarers and an additional 19 bogus values of π.

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