pp 413433
Constructions with Straightedge and Compass
 Audun HolmeAffiliated withDepartment of Mathematics, University of Bergen Email author
Abstract
The usual meaning of the term construction throughout the history of Geometry, is to draw a figure, usually in the plane, such that the figure possesses certain properties specified a priori. In doing so one is required to start out from a given set of points, in some cases also certain fixed curves. This is referred to as the start data for the construction. One is required to use only certain tools, which have been specified as allowable, and to use them in certain prescribed ways only. Normally one is allowed only a finite number of steps in the construction. If an infinite number of steps is needed, then we speak of an asymptotic version of the construction. To carry out such an asymptotic construction is, of course, not humanly possible. But the method may be used to create constructions which approximate the required one arbitrarily well.
 Title
 Constructions with Straightedge and Compass
 Book Title
 Geometry
 Book Subtitle
 Our Cultural Heritage
 Pages
 pp 413433
 Copyright
 2010
 DOI
 10.1007/9783642144417_17
 Print ISBN
 9783642144400
 Online ISBN
 9783642144417
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 eBook Packages
 Authors

 Audun Holme ^{(1)}
 Author Affiliations

 1. Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, 5008, Bergen, Norway
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