A Construction of a Regular Pentagon
To construct a regular pentagon in a circle with radius AB. Let
the circle with center A and radius AB be drawn. Erect a perpendicular line
to the radius AB at the center A so that it intersects the circle at
point C. Let D be the midpoint of the line AC.
Connect the points D and B with a straight line. Bisect the
angle ADB with line DE so that the point E lies on
the radius AB. Erect a perpendicular line
to the radius AB at the point E so that it intersects the circle at the point F. Then the line BF will be one side of a pentagon.
David E. Joyce
Department of Mathematics and Computer Science
Clark University
Worcester, MA 01610
Email: djoyce@clarku.edu
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