1.1
Draw any line AB and locate any point below AB. With centre
C and radius CB swing an arc, cutting AB at D. Join C
and D continuing the line until it cuts the arc at E.
Draw EB perpendicular to AB.
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this yourself
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1.2
With centre B and radius BA swing an arc until it crosses
BE at G. From centres G and A and radius AB swing two
arcs intersecting at F. Draw square ABGF.
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this yourself
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1.3
Within square ABGF draw diagonal AG. Construct a line
perpendicular to AG at G. With B as centre and BA as radius,
swing an arc of at least half of a circle to determine
points H and J. Complete the square AGHJ.
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this yourself
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1.4
Repeat the process of Drawing 1.3. With centre J swing
an arc equal to the side of square 2. Extend the sides
AJ and HJ until they intersect the arc at K and M. Draw
square 3, MKHA. In a similar manner construct squares
4, 5, etc.
The area of square 2 (AGHJ) is exactly twice that of the
primary square (ABGF). The side of a square is called
its root (\/). The side of the primary square
is \/1, and that of square 2 is \/2. |
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