This document discusses the projection of a line that is inclined to both the horizontal and vertical planes in orthographic projections. It explains that when a line is inclined to the horizontal plane, its length in the vertical plane remains constant and the distance between its end points in the front view remains constant. Similarly, when a line is inclined to the vertical plane, its length in the front view remains constant and the distance between its end points in the top view remains constant. Finally, it concludes that when a line is inclined to both planes, these properties apply simultaneously in the two projections.

1. ENGINEERING
GRAPHICS(2110013)
Mr. Yogesh C. Chauhan
Course coordinator
Engineering Graphics

2. PROJECTION OF LINE INCLINED
TO BOTH THE PLANES
PREPARED BY::
METALIYA DARSHIT G.
(130110107020)
(1B07)
COMPUTER ENGINERRING

3. First of all we have to find out the inclination with H.P.
Here inclination with H.P. is constant
from that
-its length in T.V. remain const.
-in F.V. the distance between the loci of its ends
remain const.

4. X
Y
A
B
b’
a’
b
a


A Line inclined to Hp
and
parallel to Vp X Y
H.P.
V.P.
T.V.
a b
a’
b’

Orthographic Projections

5. Now we have to find out the inclination with V.P.
The inclination with the V.P. is constant
-its length in F.V remain const.
-in the T.V. the distance between the loci of its ends
remain const.

6. A Line inclined to Vp
and
parallel to Hp
Ø
a b
a’
b’
BA
Ø
X Y
H.P.
V.P.
Øa
b
a’ b’
Tv
Fv
Orthographic Projections

7. PROJECTION OF LINE INCLINED
TO BOTH THE PLANES
 Now combining the above two, we conclude that when line is
inclined to both the planes.
X
Y
a’
b’
a b
B
A


T.V.
X Y


H.P.
V.P.
a
b
FV
TV
a’
b’
A Line inclined to both
Hp and Vp
Orthographic Projections