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The next diagram reveals how to utilize
Perfectagøn to create a trigon.
A good aspect to note is that the divisions along
the diagonal line, Line A, can be extended perpendicular to the
crossed lines within Circle A. Therefore it should become very
apparent how graph paper can be used to help save the steps of
dividing Line A with the compass and straightedge. But if you
don't have graph paper you can still divide the line equally.
Since Perfectagøn basically divides one quarter of Circle
A into the number of segments equaling the number of sides for
the target regular polygon, Line B would ideally intersect segment
four-four times segment one. The trigon has only three sides,
therefore three segments. The issue of having to work with the
fourth segment is solved by simply intersecting the second segment
and using the intersection on Circle A as the center of the circle
used to determine where the fourth segment point would theoretically
intersect on Circle A. An alternative to this way is to utilize
Perfectagøn for the hexagon and connecting the necessary
points to create the trigon.
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