SOLID GEOMETRY SOLID GEOMETRY Following topics will be
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)
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. )
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. ) POINT Above H. P. A 1 In Front Of V. P. X CONCLUSIONS: In 2 D In 3 D Point, Above F. V. H. P. Above XY X T. V. Point, In. Front Of V. P. Below XY A 1 - Point. a 1’- F. V. P. V a 1 - T. V. Y a ’. 1. A 1 Y (3 D). P. . a 1 H . a 1’. a 1 X Y (2 D)
A 2 - Point a 2’- F. V. a 2 - T. V. . P V. POSITION: 2 (II Qua. ) POINT A 2 Above H. P. Y Behind V. P. A 2 . . P. H CONCLUSIONS: In 2 D In 3 D Point, Above F. V. H. P. Above XY T. V. Point, Behind V. P. Above XY a 2’ . a 2. X X Y (3 D) . a 2’ X (2 D) Y
A 3 - Point a ’F. V. 3 Y a 3 - T. V. (3 D) a. 3 Y POSITION: 3 (III Qua. ) POINT A 3 Below H. P. Behind V. P. X. A 3 CONCLUSIONS: In 2 D In 3 D Point, Below F. V. H. P. Below XY Point Behind T. V. V. P. Above XY . a 3 X . a 3’ X Y (2 D)
A 4 - Point a 4’- F. V. Y Y a 4 - T. V. POSITION: 4 (IV Qua. ) POINT A 4 Below H. P. X In Front of V. P. CONCLUSIONS: In 2 D In 3 D Point, Below F. V. H. P. Below XY T. V. Point, In Front Of V. P. Below XY . a 4’ a. 4 . A 4 X . a 4’. a 4 (3 D) X Y (2 D)
POSITION: 5 A 5 - Point a 5’- F. V. . a 5 - T. V. Y POINT A 5 Above H. P. In V. P. CONCLUSIONS: In 2 D Point, Above F. V. H. P. Above XY T. V. Point, On XY In V. P. In 3 D A 5. Va. 5 P. P ’. H X . a Y P. . H 5 A 5 a 5. ’ X (3 D) a. 5 X (2 D) Y
A 6 - Point a 6’- F. V. a 6 - T. V. Y POSITION: 6 Y POINT A 6 Below H. P. X In V. P. CONCLUSIONS: In 2 D In 3 D Point, Below F. V. H. P. Below XY X T. V. Point In V. P. On XY . a 6 A 6. a 6’ X (3 D) . a 6 A 6. a 6’ Y (2 D)
A 7 Point POSITION: 7 Y POINT A 7 In H. P. In Front of V. P. CONCLUSIONS: In 2 D In 3 D T. V. Point, In. Front Of V. P. Below XY Point In H. P. F. V. On XY a 7’- F. V. a 7 - T. V. Y . X (3 D) a 7. A 7 X X a ’ 7. Y A 7. a 7 (2 D)
A 8 - Point a 8’- F. V. a 8 - T. V. POSITION: 8 Y POINT A 8 In H. P. Behind V. P. CONCLUSIONS: In 2 D In 3 D Point, T. V. Behind V. P. Above XY Point, In H. P. F. V. On XY a 8. A 8 a 8’ . X A 8. a 8 X a 8’ . Y X (3 D) (2 D) Y
POSITION: 9 POINT A 9 - Point. V. P a 9’- F. V. a 9 - T. V. In H. P In V. P. CONCLUSIONS: In 3 D Point, In H. P. Point, In V. P. In 2 D F. V. On XY T. V. On XY X a 9’. A 9 a 9 Y (3 D). P. H X X A 9. a 9’ a 9 Y (2 D)
PROJECTIONS OF POINTS
- Slides: 15