Examples of geometric constructions that can be constructed
with only a compass and a carpenter's square. Figure 1 (left)
shows the construction based on a square and its turned down
diagonal, resulting in a rectangle of which the sides relate
to each other in a 1:Ö2 ratio
(1:1.41...). We shall call it the "root-2 rectangle".
Figure 2 (middle) shows the construction based on a square and
the corresponding golden section rectangle, defining a ratio
of 1:(1+Ö5)/2 or (1:1.618...).
We shall refer to it as the "golden section rectangle"
. Figure 3 (right) is a more complex construction based on a
circle, its inscribed square and equilateral triangle. It can
be considered as a graphical method of approximatively cutting
off one seventh part of the side of a square. We call this the
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