5.projection of-points-engineering108.com

(d) Projections of Right & Regular Solids
like;
(Prisms, Pyramids, Cylinder and Cone)
SOLID GEOMETRY
Following topics will be covered in Solid
Geometry ;
(a) Projections of Points in space
(b) Projections of Lines
(Without H.T. & V.T.)
(c) Projections of Planes

(1)In quadrant I (Above H.P & In
Front of V.P.)
(2) In quadrant II (Above H.P & Behind
V.P.)
(3) In quadrant III (Below H.P &
Behind V.P.)
(4) In quadrant IV (Below H.P & In
Front of V.P.)
Orientation of Point in Space

(5) In Plane (Above H.P. & In V.P.)
(6) In Plane (Below H.P. & In V.P.)
(7) In Plane ( In H.P. & In front of V.P.)
(8) In Plane ( In H.P. & Behind V.P.)
(9) In Plane ( In H.P. & V.P.)
Orientation of Point in Space

.
.
.
.
.
X
Y
a1’
A1
a1
a1’
a1
YX
X
Y
POSITION: 1 (I Qua.)
POINT
A1
Above H.P.
In Front Of V.P.
A1- Point
a1’- F.V.
a1 - T.V.
CONCLUSIONS:
In 3D In 2D
Point, Above
H.P.
Point, In-
Front Of V.P.
T.V.
Below XY
F.V.
Above XY
(3D)
(2D)

.
.
.
.
.
POINT
A2
Above H.P.
Behind V.P.
(3D)
(2D)
X
Y
X Y
A2
a2
a2’
a2
a2’
A2- Point
X
a2’- F.V.
Y a2 - T.V.
CONCLUSIONS:
In 3D
Point, Above
H.P.
Point,
Behind V.P.
T.V.
Above XY
F.V.
Above XY
In 2D
POSITION:2 (II Qua.)

a3
A3
POINT
A3
Below H.P.
Behind V.P.
a3’
X
Y
.
.a3
a3’
X
Y
X Y
(2D)
(3D)
A3- Point
a3’- F.V.
a3- T.V.
CONCLUSIONS:
In 3D
Point, Below
H.P.
Point Behind
V.P.
T.V.
Above XY
F.V.
Below XY
In 2D
.
.
.
POSITION: 3 (III Qua.)

A4
a4
.
a4’
.
a4’
X
Y
X
Y
X Y
.
(2D)
(3D)
POINT
A4
Below H.P.
In Front of V.P.
A4- Point
a4’- F.V.
a4- T.V.
CONCLUSIONS:
In 3D
Point, Below
H.P.
Point, In
Front Of V.P.
T.V.
Below XY
F.V.
Below XY
In 2D
.
.a4
POSITION: 4 (IV Qua.)

.
.
.
.
POINT
A5
Above H.P.
In V.P.
In 3D In 2D
Point, Above
H.P.
Point,
In V.P.
T.V.
On XY
F.V.
Above XY
Y
X
a5’
A5
a5
a5’
a5
X Y
A5 X
Y
(3D)
(2D)
A5- Point
a5’- F.V.
a5 - T.V.
CONCLUSIONS:
POSITION: 5

.POINT
A6
Below H.P.
In V.P.
X
Y
X
Y
A6
a6
a6’
a6’.
X Y
(2D)
a6
.
A6
(3D)
.
A6- Point
a6’- F.V.
a6- T.V.
CONCLUSIONS:
In 3D
Point, Below
H.P.
Point In V.P.
T.V.
On XY
F.V.
Below XY
In 2D
POSITION: 6

A7
.
.
POINT
A7
In Front of V.P.
In H.P.
A7
a7
a7’
X
Y
Y
X
(3D)
(2D)
YX
A7 Point
.
.
a7’- F.V.
a7’
a7
T.V.
Below XY
Point, In-
Front Of V.P.
CONCLUSIONS:
In 3D In 2D
Point In H.P. F.V.
On XY
a7 - T.V.
POSITION: 7

A8
.
.
POINT
A8
In H.P.
Behind V.P.
Y
X
Y
X
A8
a8
a8’
X Y
(3D)
(2D)
a8
.
.a8’
A8- Point
a8’- F.V.
a8 - T.V.
F.V.
On XY
Point, In
H.P.
CONCLUSIONS:
In 3D
Point,
Behind V.P.
T.V.
Above XY
In 2D
POSITION: 8

POINT
A9
In V.P.
In H.P
(3D)
(2D)
X
Y
YX
.A9
A9- Point
X
a9’
a9’- F.V.
.a9’
a9
a9
A9
CONCLUSIONS:
In 3D In 2D
Point, In
H.P.
F.V.
On XY
T.V.
On XY
Point,
In V.P.
a9 - T.V.
POSITION: 9

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