Projection of PLANE PROJECTIONS OF PLANES q A

PROJECTIONS OF PLANES q. A plane is a two-dimensional geometrical entity q. It has

CASE OF A RECTANGLE – OBSERVE AND NOTE ALL STEPS. For T. V. For

Illustration no. 1 A semicircle plane of 60 mm diameter is inclined to the

Illustration no. 2 A square lamina of 50 mm side rests on one of

Illustration no. 3 A regular pentagon ABCDE of side 30 mm has one of

Illustration no. 4 Find Area and perimeter of triangle ABC, if A (10, 50,

Illustration no. 5 • Find Area and perimeter of triangle ABC, if A (10,

Illustration no. 6 The FVs and TVs of two triangle planes (ABC & ABD)

Illustration no. 7 The FVs and TVs of two triangle planes (ABC & ABD)

Illustration no. 8 A kite has diagonals of 80 mm and 50 mm length.

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Projection of PLANE

PROJECTIONS OF PLANES q. A plane is a two-dimensional geometrical entity q. It has length and width but no thickness q. For practical purposes, a flat face of an object may be treated as a plane q. A plane which has limited extent (has fixed shape) is termed as a lamina Information usually given: 1. Shape of the plane 2. Inclination of it’s surface with one of the reference planes 3. Inclination of one of it’s edges with the other reference plane will be given 2

Shapes of the plane Circle Semicircle

CASE OF A RECTANGLE – OBSERVE AND NOTE ALL STEPS. For T. V. For Tv For T. V. For ORTHOGRAPHIC TV-True Shape FV- Line // to xy For F. V. d’ c’ r. F VP d’’ c VP Fo Fv ORTHOGRAPHIC FV- Apparent Shape TV-Previous Shape ORTHOGRAPHIC FV- Inclined to XY TV- Reduced Shape VP HP PICTORIAL PRESENTATION a’ b’ ONE SMALL SIDE INCLINED TO VP SURFACE INCLINED TO HP SURFACE PARALLEL TO HP a 1’ a’ ’ b d a 1 d 1 b c b 1 c 1 HP b 1’ d 1 a A c 1’ d 1’ c 1 a 1 B HP b 1 C 4 . V.

Illustration no. 1 A semicircle plane of 60 mm diameter is inclined to the VP at 30°. Its straight edge is in the VP and inclined to the HP at 45°. Draw its three view.

Illustration no. 2 A square lamina of 50 mm side rests on one of the corners on the HP. The diagonal through that corner makes 30° to VP. The two sides containing this corner make equal inclinations with the HP. The surface of the lamina makes 45° to the HP. Draw the TV and FV of lamina.

Illustration no. 3 A regular pentagon ABCDE of side 30 mm has one of its edges parallel to VP and inclined at 30° to the HP. The pentagon is inclined at 45° to the VP. Draw the projections.

Illustration no. 4 Find Area and perimeter of triangle ABC, if A (10, 50, 80), B(40, 30, 70), C(60, 40, 80)

Illustration no. 5 • Find Area and perimeter of triangle ABC, if A (10, 20, 50), B(70, 10, 60), C(40, 30, 80)

Illustration no. 6 The FVs and TVs of two triangle planes (ABC & ABD) as given bellows, find the true angle between them A(00, 10, 45) B(30, 20, 45) C(10, 30, 75) D(45, 00, 70)

Illustration no. 7 The FVs and TVs of two triangle planes (ABC & ABD) as given bellows, find the true angle between them A(15, 20, 95) B(55, 20, 100) C(00, 60) D(80, 50, 60)

Illustration no. 8 A kite has diagonals of 80 mm and 50 mm length. The diagonals intersect at a point 30 mm from an end of the major diagonal. The kites rests on the ground on one of its longer edges. The plane of the kites makes 60° with the ground while the edge on the ground makes 30° with vertical wall. Draw the projections of the kites.