The document provides instructions for constructing a regular pentagon using basic geometric techniques: 1) Mark a circle with center point C and diameter line AB. Mark a perpendicular line DC and point E to form a second circle. 2) Extend a line through points B and E to intersect the second circle at points F and G. 3) Mark arcs from center B with radius BG to intersect the circle at points H,J, K, and M, completing the pentagon lines.

1. Stonemasonry Department 2013
Prepare Templates and Moulds
Constructing a Pentagon

2. Constructing a Pentagon
Begin by marking a
circle with the
centre point C.
C

3. Constructing a Pentagon
B
A
C
Begin by marking a
circle with the
centre point C.
Mark the diameter
of the circle to form
line AB

4. Constructing a Pentagon
B
A
C
Begin by marking a
circle with the
centre point C.
Mark the diameter
of the circle to form
line AB
Mark a
perpendicular to
line AB to form line
DC using line
bisection
D

5. Constructing a Pentagon
B
A
C
Begin by marking a
circle with the
centre point C.
Mark the diameter
of the circle to form
line AB
Mark a
perpendicular to
line AB to form line
DC using line
bisection
D
Mark a
perpendicular to
line DC to form
point E using line
bisection
E

6. Constructing a Pentagon
B
A
C
Construct a circle
with centre point E
with the diameter
DC
D E

7. Constructing a Pentagon
B
A
C
Construct a circle
with centre point E
with the diameter
DC
D
Extend a line
through points B
and E to form
points F and G
E
F
G

8. Constructing a Pentagon
B
A
C
Construct a circle
with centre point E
with the diameter
DC
D
Extend a line
through points B
and E to form
points F and G
E
F
G
H J
From centre point
B mark an arc with
radius BG to
intersect the circle
forming points H
and J

9. Constructing a Pentagon
B
A
C
Construct a circle
with centre point E
with the diameter
DC
D
Extend a line
through points B
and E to form
points F and G
E
F
G
From centre point
B mark an arc with
radius BG to
intersect the circle
forming points H
and JH J
From centre point
B mark an arc with
radius BG to
intersect the circle
forming points K
and M
K M

10. Constructing a Pentagon
B
A
C
Construct a circle
with centre point E
with the diameter
DC
D
Extend a line
through points B
and E to form
points F and G
E
F
G
From centre point
B mark an arc with
radius BG to
intersect the circle
forming points H
and JH J
From centre point
B mark an arc with
radius BG to
intersect the circle
forming points K
and M
K M

11. Constructing a Pentagon
B
A
C
Complete the
pentagon by
constructing lines
HK, KA, AM, MJ
and JH
D E
F
G
H J
K M

12. Developed by The Stonemasonry Department
City of Glasgow College
2013