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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;
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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.)
A1- Point V.P. Y Y X H.P. X X Y POSITION: 1 (I Qua.) a1’- F.V. Above H.P. POINT A1 a1 - T.V. . a1’ . In Front Of V.P. A1 (3D) . CONCLUSIONS: a1 In 2D In 3D . a1’ Point, Above H.P. F.V. Above XY T.V. Below XY Point, In- Front Of V.P. . (2D) a1
A2- Point Y V.P. H.P. Y X X Y X POSITION:2 (II Qua.) a2’- F.V. Above H.P. a2 - T.V. POINT A2 Behind V.P. A2 . a2’ . . a2 CONCLUSIONS: In 2D In 3D (3D) . Point, Above H.P. F.V. Above XY a2 . (2D) a2’ T.V. Above XY Point, Behind V.P.
A3- Point Y Y X X Y X POSITION: 3 (III Qua.) a3’- F.V. a3- T.V. Below H.P. POINT A3 (3D) . a3 Behind V.P. . A3 CONCLUSIONS: . a3’ In 2D In 3D . Point, Below H.P. F.V. Below XY a3 T.V. Above XY Point Behind V.P. . a3’ (2D)
A4- Point Y Y X X X Y POSITION: 4 (IV Qua.) a4’- F.V. a4- T.V. Below H.P. POINT A4 . a4 In Front of V.P. . a4’ . (3D) CONCLUSIONS: A4 In 2D In 3D Point, Below H.P. F.V. Below XY . a4’ T.V. Below XY Point, In Front Of V.P. . (2D) a4
Y V.P. H.P. Y H.P. X X X Y POSITION: 5 A5- Point a5’- F.V. a5 - T.V. Above H.P. A5 a5’ . POINT A5 (3D) In V.P. . CONCLUSIONS: a5 In 2D In 3D a5’ A5 Point, Above H.P. F.V. Above XY . T.V. On XY Point, In V.P. (2D) a5 .
A6- Point Y Y X X X Y POSITION: 6 a6’- F.V. a6- T.V. . Below H.P. POINT A6 a6 In V.P. . a6’ A6 CONCLUSIONS: In 2D In 3D (3D) . Point, Below H.P. F.V. Below XY a6 T.V. On XY . (2D) Point In V.P. A6 a6’
A7 Point Y Y X X X Y POSITION: 7 a7’- F.V. a7 - T.V. POINT A7 In H.P. (3D) a7’ . In Front of V.P. . a7 CONCLUSIONS: A7 In 2D In 3D T.V. Below XY Point, In- Front Of V.P. a7’ . F.V. On XY Point In H.P. . A7 (2D) a7
A8- Point Y Y X X X Y POSITION: 8 a8’- F.V. a8 - T.V. In H.P. POINT A8 Behind V.P. . a8 A8 a8’ CONCLUSIONS: . In 2D In 3D T.V. Above XY Point, Behind V.P. (3D) . A8 a8 Point, In H.P. F.V. On XY (2D) a8’ .
V.P. Y X H.P. X X Y POSITION: 9 A9- Point a9’- F.V. a9 - T.V. In H.P POINT A9 (3D) a9’ . In V.P. a9 A9 CONCLUSIONS: In 2D In 3D Point, In H.P. F.V. On XY . a9’ A9 T.V. On XY Point, In V.P. a9 (2D)