Constructing a Square
Before we discuss
approximations for squaring the circle, let us review a few common
constructions. First, we will need to
know how to construct squares. To
construct a square given two adjacent vertices A and B, first construct the
segment AB, and call it j. Then
construct the line k perpendicular to AB through A. Construct the circle c1 with center A though the point
B. Construct the intersection of the
line k and the circle c1, and label it C. Construct the line l through C parallel to segment j. Construct the line m perpendicular to
segment j through the point B.
Construct the intersection of lines l and m, and label the point D. The points A, B, C, and D are the vertices
of the square.
Click here for a script to
construct a square given two adjacent vertices A and B.
Click here to see a GSP sketch of
the construction of a square.
