SOLID GEOMETRY

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)

PROJECTIONS OF POINTS

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.)

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.)

. . . . . 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)

. . . . . 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

. . . . . 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)

. . . . . 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

. . . . 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

. . . . 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’

. . . . 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)

. . . . 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

. . 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)

PROJECTIONS OF POINTS