The document provides instructions for drawing the projections of a regular hexagon where one corner is located in the horizontal plane (HP) and the surface of the hexagon is inclined at 45 degrees to the HP. It specifies that the hexagon has a side length of 40mm and the top view of the diagonal through the corner in the HP makes an angle of 60 degrees with the vertical plane (VP). It also provides the necessary visualizations of the orientations and angles.

1. F
A
B
C
V
E
1
1’
Given CF=65mm
Given, eccentricity=3/4. Therefore divide CF in 7 equal
parts and mark V at 3rd division from F
Draw an ellipse by general method, given distance of focus from
directrix 65mm and eccentricity ¾.

2. a
b c
d
ef
a’
b’
f’
c’
e’ d’ 45
a1
f1 e1
d1
b1 c1
60°
a1
b1
c
1
d1
e1
f1
a1’
b1’
c1’
d1’
e1’
f1’
PROBLEM
A regular hexagon of 40mm side has a corner in the HP.
Its surface inclined at45 to the HP and the top view of
the diagonal through the corner which is in the HP
makes an angle of 60° with the VP. Draw its projections.
Plane parallel to HP
Plane inclined to HP
at 45 and ┴ to VP
Top view of the diagonal
making 60 with the VP.
YX

3. P1
1’
2’
3’
4’
5’
6’
7’
9’
8’
10’
11’
12’
1
2
3
4
5
6
7
8
9
10
11
12
P2
P3
P4
P5
P6
P7
P8
P9
P10
P11
P12

4. PROBLEM: A point moves in a plane in such a way that its distance from a fixed point is equal to its distance from a fixed line. The
distance between fixed point and the fixed line is 65 mm.
A
B
C D
E
1
1’
F
2’
2
3’
3
4’
4