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PROBLEMS IN GEOMETRICAL DRAWING. I8 7
To draw a square inside a
given circle. (See Fig. 13).
Solution
:
Draw the line a b through the
center of the circle. From points
of intersection at a and d, describe
with any suitable radius arcs inter-
secting at n and m. Draw through
the points the line c d. Connect
the points of intersection on the
circle and the required square is
constructed.
To draw a square outside a
given circle. (See Fig. 14).
Solution
:
Draw lines a b and c d, and
from points of intersection at b and
c, describe half circles; their points
of intersection determine the sides
of the square.
To draw a hexagon within a given
circle. (See Fig. 15).
Apply the radius as a chord succes-
sively about the circle ; the resulting
figure will be a hexagon.
Fig. 15-
Fig. 16,
To inscribe in a circle a regular polygon of
any given number of sides.
Solution
:
Divide 360 by the number of sides, and the
quotient is the number of degrees, minutes, and
seconds contained in the center angle of a triangle,
of which one side will make one of the sides in
the polygon. For instance, draw a hexagon by this method.
(See Fig. 16). 360
6
= 60°
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