1. SOLID GEOMETRY

2. 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)

3. PROJECTIONS OF
POINTS

4. Orientation of Point in Space
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.)

5. 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.)

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

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

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

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

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

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

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

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

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

15. PROJECTIONS OF POINTS