THis ppt contains information abt PROJECTION OF POINTS

1. PROJECTION OF POINTS
PREPARED BY:
HEMDEEP BHAVSAR

2. SOLID
GEOMETR
Y

3. 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
(d) Projections of Right & Regular Solids
like;
(Prisms, Pyramids, Cylinder and Cone)

5. Orientation of Point in Space
(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.)

6. 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.)

7. V.P.
H.P.
.
.
.
.
X Y
.
X
Y
a1’
A1
a1
a1’
a1
X
Y
POSITION: 1 (I Qua.)
POINT
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.
F.V.
Above XY
T.V.
Below XY
(3D)
(2D)

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

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

10. .a4
A4
a4’
a4 .
. a4’
X
Y
(3D)
X
Y
X Y .
(2D)
POINT
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.
In 2D
F.V.
Below XY
T.V.
Below XY
.
POSITION: 4 (IV Qua.)

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

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

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

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

15. POINT
In H.P
In V.P.
V.P.
A9- Point
(3D)
H.P.
(2D)
X
Y
. A9
a9
X Y
X
a9’
a9’- F.V.
.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

16. PROJECTIONS
OF POINTS