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Origami and Geometric Constructions Author : By Robert J. Lang

WHAT IS THIS DOCUMENT ABOUT? :

Compass-and-straightedge geometric constructions are familiar to most students from high-
school geometry. Nowadays, they are viewed by most as a quaint curiosity of no more than
academic interest. To the ancient Greeks and Egyptians, however, geometric constructions were
useful tools, and for some, everyday tools, used for construction and surveying, among other
activities.
The classical rules of compass-and-straightedge allow a single compass to strike arcs and
transfer distances, and a single unmarked straightedge to draw straight lines; the two may not be
used in combination (for example, holding the compass against the straightedge to effectively
mark the latter). However, there are many variations on the general theme of geometric
constructions that include use of marked rules and tools other than compasses for the
construction of geometric figures.

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file credit : By Robert J. Lang
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