Civil Engineering Reference
In-Depth Information
Problem 26
To inscribe a hexagon in a circle.
In Figure 5-46, draw a diameter
ACB
. From
A
and
B
, as cen-
ters with the radius of the circle
AC
, intersect the circumference at
D
,
E
,
F
, and
G
, and draw lines
AD
,
DE
, and so forth, to form
the hexagon. The points
D
,
E
, and so forth, may also be found
by stepping off the radius (with the dividers) six times around the
circle.
D
E
C
A
B
G
F
Figure 5-46
To inscribe a hexagon in a circle.
Problem 27
To describe an octagon on a given straight line.
In Figure 5-47, extend the given line
AB
both ways. Now, draw
perpendiculars
AE
and
BF
. Bisect the external angles
A
and
B
by
using lines
AH
and
BC.
These are made equal to line
AB.
Draw
CD
and
HG
parallel to
AE
and equal to line
AB
. Draw
CD
and
HG
parallel to
AE
and equal to line
AB
. With
G
and
D
as centers, and
with the radius equal to
AB
, intersect the perpendiculars at
E
and
F
, and draw line
EF
to complete the hexagon.
Problem 28
To inscribe an octagon in a square.
In Figure 5-48, draw the diagonals of the square intersecting at
e
. From the corners
A
,
B
,
C
, and
D
, with
Ae
as the radius, describe
arcs intersecting the sides of the square at
g
,
h
, and so forth, and
join the points found to complete the octagon.
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