The document defines different types of solids and their key terms. It discusses regular polyhedra including prisms, pyramids, and other shapes. Solids of revolution like cylinders and cones are also covered. Different classifications of solids are presented along with terms like axis, generator, apex, and examples of different problems involving drawing projections of various solids in different orientations.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra like cubes. Solids of revolution are generated by rotating a plane figure around an axis, and include cylinders, cones, spheres and other shapes. The document also defines important terms used in projections of solids, such as axis, apex, edges, and provides examples of how to draw multi-view projections of different solids.
The document defines and classifies different types of solids and their projections. It discusses polyhedra like prisms, pyramids, and regular solids. It also covers solids of revolution like cylinders and cones. Key terms are defined, including axis, apex, edge, generator, frustum and truncated solids. Several example problems are provided to demonstrate how to draw the orthographic projections of various solids when their position and orientation is described.
The document defines and classifies different types of solids and their projections. It describes solids as three dimensional objects bounded by surfaces that can be curved or flat. Solids are divided into polyhedra and solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra. Solids of revolution are generated by rotating a plane figure around a fixed line and include cylinders, cones, spheres, and other shapes. The document also defines important terms used in projections of solids like axis, apex, edges, generators, and provides examples of how to draw orthographic projections of different solids in various orientations.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra like cubes. Solids of revolution are generated by rotating a plane figure around an axis and include cylinders, cones, spheres. The document also defines important terms used in projections of solids like axis, apex, edges/generators, and types of projections. It provides examples of projecting different solids in various orientations.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and the seven regular polyhedra. Solids of revolution are generated by rotating a plane figure around a fixed line and include cylinders, cones, spheres, and other shapes. The document also defines important terms used in projections of solids such as axis, apex, edges or generators, and provides examples of how to draw multi-view projections of different solids.
The document defines and describes various three-dimensional geometric shapes:
- Prisms and pyramids are defined as polyhedra having two bases joined by rectangles or triangles. They can be classified by the shape of their base.
- Solids of revolution are generated by revolving a two-dimensional shape around a fixed line, and include cylinders, cones, spheres and other shapes.
- Key terms used for projections of solids are also defined, such as axis, apex, generator, frustum and truncated solids.
- Examples are given of different solids with specifications and step-by-step workings to draw their projections in different orientations.
The document describes different types of geometric solids including prisms, pyramids, cylinders, cones, spheres and their variations. It defines key terms used for these solids such as axis, apex, base, edge, face, frustum and truncated. It also discusses different orientations of solids relative to planes and provides examples of drawing projections of solids in various positions and orientations.
This document contains information about projecting solids in engineering graphics. It discusses projecting various types of solids like prisms, pyramids, cylinders and cones when the axis is inclined to one of the principal planes. It provides examples of projecting solids using the rotating object method and auxiliary plane method. It also discusses cutting solids with a section plane and projecting the true shape of the cut section.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra like cubes. Solids of revolution are generated by rotating a plane figure around an axis, and include cylinders, cones, spheres and other shapes. The document also defines important terms used in projections of solids, such as axis, apex, edges, and provides examples of how to draw multi-view projections of different solids.
The document defines and classifies different types of solids and their projections. It discusses polyhedra like prisms, pyramids, and regular solids. It also covers solids of revolution like cylinders and cones. Key terms are defined, including axis, apex, edge, generator, frustum and truncated solids. Several example problems are provided to demonstrate how to draw the orthographic projections of various solids when their position and orientation is described.
The document defines and classifies different types of solids and their projections. It describes solids as three dimensional objects bounded by surfaces that can be curved or flat. Solids are divided into polyhedra and solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra. Solids of revolution are generated by rotating a plane figure around a fixed line and include cylinders, cones, spheres, and other shapes. The document also defines important terms used in projections of solids like axis, apex, edges, generators, and provides examples of how to draw orthographic projections of different solids in various orientations.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and regular polyhedra like cubes. Solids of revolution are generated by rotating a plane figure around an axis and include cylinders, cones, spheres. The document also defines important terms used in projections of solids like axis, apex, edges/generators, and types of projections. It provides examples of projecting different solids in various orientations.
The document defines and classifies different types of solids and their projections. It describes solids as three-dimensional objects bounded by surfaces that can be curved or flat. Solids are classified as polyhedra or solids of revolution. Polyhedra include prisms, pyramids, and the seven regular polyhedra. Solids of revolution are generated by rotating a plane figure around a fixed line and include cylinders, cones, spheres, and other shapes. The document also defines important terms used in projections of solids such as axis, apex, edges or generators, and provides examples of how to draw multi-view projections of different solids.
The document defines and describes various three-dimensional geometric shapes:
- Prisms and pyramids are defined as polyhedra having two bases joined by rectangles or triangles. They can be classified by the shape of their base.
- Solids of revolution are generated by revolving a two-dimensional shape around a fixed line, and include cylinders, cones, spheres and other shapes.
- Key terms used for projections of solids are also defined, such as axis, apex, generator, frustum and truncated solids.
- Examples are given of different solids with specifications and step-by-step workings to draw their projections in different orientations.
The document describes different types of geometric solids including prisms, pyramids, cylinders, cones, spheres and their variations. It defines key terms used for these solids such as axis, apex, base, edge, face, frustum and truncated. It also discusses different orientations of solids relative to planes and provides examples of drawing projections of solids in various positions and orientations.
This document contains information about projecting solids in engineering graphics. It discusses projecting various types of solids like prisms, pyramids, cylinders and cones when the axis is inclined to one of the principal planes. It provides examples of projecting solids using the rotating object method and auxiliary plane method. It also discusses cutting solids with a section plane and projecting the true shape of the cut section.
1. A cone with a 50mm base diameter and 70mm axis is cut by a section plane inclined at 45 degrees to the horizontal plane through the base end of an end generator.
2. The projections, sectional views, true shape of the section, and development of the remaining solid are drawn.
3. Key features included the section plane cutting the cone, projections showing the cut portion, and the true shape and development unfolding the remaining surface.
CURVE 1- THIS SLIDE CONTAINS WHOLE SYLLABUS OF ENGINEERING DRAWING/GRAPHICS. IT IS THE MOST SIMPLE AND INTERACTIVE WAY TO LEARN ENGINEERING DRAWING.SYLLABUS IS RELATED TO rajiv gandhi proudyogiki vishwavidyalaya / rajiv gandhi TECHNICAL UNIVERSITY ,BHOPAL.
This document provides information on engineering curves and conic sections. It describes different methods for drawing ellipses, parabolas, and hyperbolas including the concentric circle method, rectangle method, oblong method, and arcs of circle method. It also discusses drawing tangents and normals to these curves. Conic sections such as ellipses, parabolas, and hyperbolas are formed by cutting a cone with different plane sections. The ratio of a point's distances from a fixed point and fixed line is used to define eccentricity for these curves.
This document contains information about various 3D shapes or solids. It divides solids into two groups: Group A includes cylinders and prisms which have bases and tops of the same shape, while Group B includes cones and pyramids which have a pointed top. The document provides details on the dimensional parameters, projections and solving problems related to different solids. It also discusses positions of the center of gravity for freely suspended solids.
Curves2- THIS SLIDE CONTAINS WHOLE SYLLABUS OF ENGINEERING DRAWING/GRAPHICS. IT IS THE MOST SIMPLE AND INTERACTIVE WAY TO LEARN ENGINEERING DRAWING.SYLLABUS IS RELATED TO rajiv gandhi proudyogiki vishwavidyalaya / rajiv gandhi TECHNICAL UNIVERSITY ,BHOPAL.
1) The document discusses different types of solids and their classification into two groups - Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2) Instructions are provided on how to solve problems involving solids, with a three step approach of first assuming the solid standing on the relevant plane, then considering its inclination, and finally drawing the final projections.
3) Several example problems are worked through step-by-step to demonstrate how to draw the projections of solids like prisms, pyramids, cylinders and cones in different orientations. Dimensional parameters and terminology used in problems involving solids
1) The document discusses different types of solids and their classification into two groups - Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2) Instructions are provided on how to solve problems involving solids, with a three step approach of first assuming the solid standing on the relevant plane, then considering its inclination, and finally drawing the final projections.
3) Several example problems are worked through step-by-step to demonstrate how to draw the projections of solids like prisms, pyramids, cylinders and cones in different orientations. Dimensional parameters and terminology used in problems involving solids
1. This module discusses the projection of sectioned solids and development of surfaces. It covers sectioning solids when the cutting plane is inclined to one principal plane and perpendicular to the other.
2. The development of lateral surfaces is covered for simple solids like prisms, pyramids, cylinders and cones, as well as solids with cut-outs and holes.
3. Examples are provided to illustrate obtaining the true shape of sections and developing the lateral surfaces of various solids through exercises.
The document discusses various types of engineering curves including involutes, cycloids, spirals, and helices. It provides definitions for involutes, cycloids, epicycloids, hypotrochoids, spirals, and helices. Examples are given on how to draw involutes of circles, squares, and triangles. Methods for drawing tangents and normals to involutes, cycloids, and epicycloids are also described. Problems include drawing loci for points on circles rolling along straight or curved paths to form different types of cycloids.
1. The document classifies solids into two groups - Group A solids have bases and tops of the same shape, while Group B solids have a base of some shape and just a point as a top.
2. Problems involving solids are solved in three steps: 1) assume the solid is standing on its base plane, 2) consider the solid's inclination, 3) consider any remaining inclination to draw the final views.
3. Key solids discussed include cylinders, cones, prisms, pyramids, tetrahedrons, and their dimensional parameters, positions of centers of gravity, and examples of how to draw their projections when resting, inclined, or freely suspended.
1) The document classifies solids into two groups - Group A solids have bases and tops of the same shape, while Group B solids have a base of some shape and just a point as a top.
2) Problems involving solids are solved in three steps - assuming the solid standing on a reference plane, drawing projections based on that, then considering additional inclinations.
3) Freely suspended solids have their center of gravity located at specific points along their axis depending on the solid type - cylinders and prisms have their CG at the midpoint, while cones and pyramids have their CG a quarter of the way from the base.
This document provides definitions and examples of common engineering curves including involutes, cycloids, spirals, and helices. It begins by listing different types of involutes defined by the string length relative to the circle's circumference. Definitions are then given for cycloids based on whether the rolling circle is inside or outside the directing circle. Superior and inferior trochoids are distinguished based on this as well. Spirals are defined as curves generated by a point revolving around a fixed point while also moving toward it. Helices are curves generated by a point moving around a cylinder or cone surface while advancing axially. Examples are provided for drawing various curves along with methods for constructing tangents and normals.
The document discusses the development of surfaces of solids. It begins by defining development as the shape of an unfolded sheet obtained by cutting open a hollow object from one side. Developments are 2D representations that show the true area and dimensions of an object. Various solids like prisms, cylinders, cones, pyramids and their sections can be developed. Developments have many engineering applications in sheet metal fabrication. The document then provides examples of developing different solids and solving problems involving finding the developments of cut sections. It concludes by constructing the path of a particle moving in a helical path around a cone.
1. The document discusses different types of solids and their classification into two groups based on the shape of their top and base.
2. It provides instructions on how to solve problems involving solids by assuming their position and orientation, and drawing their front, top, and side views in three steps.
3. Examples of problems involving solids like cubes, pyramids, cylinders, and cones in different orientations are presented along with their step-by-step solutions.
1. The document discusses different types of solids and their classification into two groups: Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2. It provides details on the dimensional parameters of solids like cylinders, cones, prisms and pyramids. It also describes how to solve problems involving solids in three steps: assuming the solid standing on a reference plane, drawing the front and top views, and considering any remaining inclinations.
3. An example problem is given involving drawing the projections of a freely suspended pentagonal pyramid with conditions specified.
1. The document discusses different types of solids and their classification into two groups based on the shape of their top and base.
2. It provides instructions on how to solve problems involving solids through a three step process of assuming the solid in different positions and drawing their front and top views.
3. Examples of problems involving solids like cubes, pyramids, cylinders and cones in different orientations are presented along with their step-by-step solutions.
1. The document discusses different types of solids and their classification into two groups: Group A includes solids with bases of the same shape as the top like cylinders and prisms, while Group B includes solids with the top being a single point called the apex, like cones and pyramids.
2. It provides details on the dimensional parameters of different solids like their faces, edges, bases, etc. It also discusses different positions of solids relative to planes like standing, resting, or lying.
3. Steps to solve problems involving solids inclined to horizontal and vertical planes are outlined. The document contains examples of problems involving solids like cylinders, cones, cubes, and tetrahed
1. A cone with a 50mm base diameter and 70mm axis is cut by a section plane inclined at 45 degrees to the horizontal plane through the base end of an end generator.
2. The projections, sectional views, true shape of the section, and development of the remaining solid are drawn.
3. Key features included the section plane cutting the cone, projections showing the cut portion, and the true shape and development unfolding the remaining surface.
CURVE 1- THIS SLIDE CONTAINS WHOLE SYLLABUS OF ENGINEERING DRAWING/GRAPHICS. IT IS THE MOST SIMPLE AND INTERACTIVE WAY TO LEARN ENGINEERING DRAWING.SYLLABUS IS RELATED TO rajiv gandhi proudyogiki vishwavidyalaya / rajiv gandhi TECHNICAL UNIVERSITY ,BHOPAL.
This document provides information on engineering curves and conic sections. It describes different methods for drawing ellipses, parabolas, and hyperbolas including the concentric circle method, rectangle method, oblong method, and arcs of circle method. It also discusses drawing tangents and normals to these curves. Conic sections such as ellipses, parabolas, and hyperbolas are formed by cutting a cone with different plane sections. The ratio of a point's distances from a fixed point and fixed line is used to define eccentricity for these curves.
This document contains information about various 3D shapes or solids. It divides solids into two groups: Group A includes cylinders and prisms which have bases and tops of the same shape, while Group B includes cones and pyramids which have a pointed top. The document provides details on the dimensional parameters, projections and solving problems related to different solids. It also discusses positions of the center of gravity for freely suspended solids.
Curves2- THIS SLIDE CONTAINS WHOLE SYLLABUS OF ENGINEERING DRAWING/GRAPHICS. IT IS THE MOST SIMPLE AND INTERACTIVE WAY TO LEARN ENGINEERING DRAWING.SYLLABUS IS RELATED TO rajiv gandhi proudyogiki vishwavidyalaya / rajiv gandhi TECHNICAL UNIVERSITY ,BHOPAL.
1) The document discusses different types of solids and their classification into two groups - Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2) Instructions are provided on how to solve problems involving solids, with a three step approach of first assuming the solid standing on the relevant plane, then considering its inclination, and finally drawing the final projections.
3) Several example problems are worked through step-by-step to demonstrate how to draw the projections of solids like prisms, pyramids, cylinders and cones in different orientations. Dimensional parameters and terminology used in problems involving solids
1) The document discusses different types of solids and their classification into two groups - Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2) Instructions are provided on how to solve problems involving solids, with a three step approach of first assuming the solid standing on the relevant plane, then considering its inclination, and finally drawing the final projections.
3) Several example problems are worked through step-by-step to demonstrate how to draw the projections of solids like prisms, pyramids, cylinders and cones in different orientations. Dimensional parameters and terminology used in problems involving solids
1. This module discusses the projection of sectioned solids and development of surfaces. It covers sectioning solids when the cutting plane is inclined to one principal plane and perpendicular to the other.
2. The development of lateral surfaces is covered for simple solids like prisms, pyramids, cylinders and cones, as well as solids with cut-outs and holes.
3. Examples are provided to illustrate obtaining the true shape of sections and developing the lateral surfaces of various solids through exercises.
The document discusses various types of engineering curves including involutes, cycloids, spirals, and helices. It provides definitions for involutes, cycloids, epicycloids, hypotrochoids, spirals, and helices. Examples are given on how to draw involutes of circles, squares, and triangles. Methods for drawing tangents and normals to involutes, cycloids, and epicycloids are also described. Problems include drawing loci for points on circles rolling along straight or curved paths to form different types of cycloids.
1. The document classifies solids into two groups - Group A solids have bases and tops of the same shape, while Group B solids have a base of some shape and just a point as a top.
2. Problems involving solids are solved in three steps: 1) assume the solid is standing on its base plane, 2) consider the solid's inclination, 3) consider any remaining inclination to draw the final views.
3. Key solids discussed include cylinders, cones, prisms, pyramids, tetrahedrons, and their dimensional parameters, positions of centers of gravity, and examples of how to draw their projections when resting, inclined, or freely suspended.
1) The document classifies solids into two groups - Group A solids have bases and tops of the same shape, while Group B solids have a base of some shape and just a point as a top.
2) Problems involving solids are solved in three steps - assuming the solid standing on a reference plane, drawing projections based on that, then considering additional inclinations.
3) Freely suspended solids have their center of gravity located at specific points along their axis depending on the solid type - cylinders and prisms have their CG at the midpoint, while cones and pyramids have their CG a quarter of the way from the base.
This document provides definitions and examples of common engineering curves including involutes, cycloids, spirals, and helices. It begins by listing different types of involutes defined by the string length relative to the circle's circumference. Definitions are then given for cycloids based on whether the rolling circle is inside or outside the directing circle. Superior and inferior trochoids are distinguished based on this as well. Spirals are defined as curves generated by a point revolving around a fixed point while also moving toward it. Helices are curves generated by a point moving around a cylinder or cone surface while advancing axially. Examples are provided for drawing various curves along with methods for constructing tangents and normals.
The document discusses the development of surfaces of solids. It begins by defining development as the shape of an unfolded sheet obtained by cutting open a hollow object from one side. Developments are 2D representations that show the true area and dimensions of an object. Various solids like prisms, cylinders, cones, pyramids and their sections can be developed. Developments have many engineering applications in sheet metal fabrication. The document then provides examples of developing different solids and solving problems involving finding the developments of cut sections. It concludes by constructing the path of a particle moving in a helical path around a cone.
1. The document discusses different types of solids and their classification into two groups based on the shape of their top and base.
2. It provides instructions on how to solve problems involving solids by assuming their position and orientation, and drawing their front, top, and side views in three steps.
3. Examples of problems involving solids like cubes, pyramids, cylinders, and cones in different orientations are presented along with their step-by-step solutions.
1. The document discusses different types of solids and their classification into two groups: Group A solids have the same shape for the top and base, while Group B solids have the base of some shape and just a point for the top.
2. It provides details on the dimensional parameters of solids like cylinders, cones, prisms and pyramids. It also describes how to solve problems involving solids in three steps: assuming the solid standing on a reference plane, drawing the front and top views, and considering any remaining inclinations.
3. An example problem is given involving drawing the projections of a freely suspended pentagonal pyramid with conditions specified.
1. The document discusses different types of solids and their classification into two groups based on the shape of their top and base.
2. It provides instructions on how to solve problems involving solids through a three step process of assuming the solid in different positions and drawing their front and top views.
3. Examples of problems involving solids like cubes, pyramids, cylinders and cones in different orientations are presented along with their step-by-step solutions.
1. The document discusses different types of solids and their classification into two groups: Group A includes solids with bases of the same shape as the top like cylinders and prisms, while Group B includes solids with the top being a single point called the apex, like cones and pyramids.
2. It provides details on the dimensional parameters of different solids like their faces, edges, bases, etc. It also discusses different positions of solids relative to planes like standing, resting, or lying.
3. Steps to solve problems involving solids inclined to horizontal and vertical planes are outlined. The document contains examples of problems involving solids like cylinders, cones, cubes, and tetrahed
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2. Definition of Solid:
A solid is a three dimensional object having
length, breadth and thickness. It is
completely bounded by a surface or surfaces
which may be curved or plane.
-The shape of the solid is described by
drawing its two orthographic views usually
on the two principle planes i.e. H.P. & V.P.
-For some complicated solids, in addition to
the above principle views, side view is also
required.
-A solid is an aggregate of points, lines and
planes and all problems on projections of
solids would resolve themselves into
projections of points, lines and planes.
PROJECTIONSOFSOLIDS
3. ClassificationofSolids:
Solids may be
groups;
divided into two main
(A) Polyhedra
(B) Solids of revolution
(A) Polyhedra :
A Polyhedra is defined as a solid
bounded by planes called faces which
meet in straight lines called edges.
4. There are seven regular Polyhedra
which may be defined as stated below;
(1) Prism
(2) Pyramid
(3) Tetrahedron
(4) Cube or Hexahedron:
(5) Octahedron:
(6) Dodecahedron:
(7) Icosahedron:
5. (1) Prism:
It is a polyhedra having two
equal
called
and similar faces
its ends or bases,
parallel to each other and
joined by other faces which
are rectangles.
-The imaginary
line joining the
Centres of the
bases or faces is
called Axis of
Prism.
Axis
Faces
Edge
8. (2
)Pyram
id
:
This is a polyhedra having plane
surface as a base and a number
of triangular faces meeting at a
point called the Vertex or Apex.
-The imaginary
line joining the
the
Centre
Apex with
of the
base is called
Axis of pyramid.
Axis
Edge
Base
11. (B)Solidso
fRevolutions:
When a solid is generated by revolutions
of a plane figure about a fixed line (Axis)
then such solids are named as solids of
revolution.
Solids of revolutions may be of following
types;
(1) Cylinder
(2) Cone
(3) Sphere
(4) Ellipsoid
(5) Paraboloid
(6) Hyperboloid
12. (1)Cylinder:
A right regular cylinder is a solid
generated by the revolution of a
rectangle about its vertical side
which remains fixed.
Rectangle
Axis
Base
13. (2
)Cone:
A right circular cone is a solid
generated by the revolution of a right
angle triangle about its vertical side
which remains fixed.
Right angle
triangle
Axis
Base
Generators
17. ImportantT
e
r
m
sUsedinProje
ctio
nsofSolids:
(3) Axis of Solid:
For Cone and Pyramids, Axis is an
imaginary line joining centre of
the base to the Apex.
For Cylinder and Prism, Axis is an
imaginary line joining centres of
ends or bases.
20. Important Terms Used in Projections
of Solids:
(6) Regular Solid:
A solid is said to be a Regular Solid if
all the edges of the base or the end
faces of a solid are equal in length and
form regular plane figures
21. Important Terms Used in Projections
of Solids:
(7) Frustum of Solid:
When a Pyramid or a
Cone is cut by a Plane
parallel to its base,
thus removing the top
portion, the remaining
lower portion is called
its frustum. FRUSTUM OFA
PYRAMID
CUTTING PLANE
PARALLEL TO
BASE
22. Important Terms Used in Projections
of Solids:
(8) Truncated Solid :
When a Pyramid or a
Cone is cut by a Plane
inclined to its base,
thus removing the top
portion, the remaining
lower portion is said to
be truncated.
23. Class A(1): Axis perpendicular to H. P. and hence
parallel to both V.P. & P.P.
X
a
b
d
c
c’,d’
Y
a’,b’
o
o’
Axis
24. c’,3’
b’,2’
Class A(2): Axis perpendicular to V.P. and hence
parallel to both H.P. & P.P.
f’,6
’
e’,5’
d’,4’
a’,1’
a b,f c,e d
1 2,6 3,5 4
X Y
H
25. b”2”
1
1’2’ a”1”
Class A(3): Axis perpendicular to P.P. and hence
parallel to both H.P. & V.P.
Y
L
c”3”
a’,b’
c’
b
X
a
c 3
2
3’
26. Class B(1): Axis parallel to V
.P. and inclined to
H.P. by θ & also inclined to P.P.
Exercise 1 :
A right regular pentagonal prism,
side of base 30 mm and height of
axis as 75mm rests on HP on one
of its base corners such that its
long edge containing the corner is
inclined to the HP at 60°. Draw its
projections.
29. Exercise 2 :
A tetrahedron of 40 mm
long edges, rests on HP on
one of its edges such that
the face containing that
edge is inclined to HP at
30° and the same edge is
inclined at 45° to VP. Draw
the projections of the solid.
32. A cone, diameter of base 60mm and
height 70mm, is resting on HP on
the point of periphery of the base.
Axis of the cone makes 60 with HP
and 30 with the VP. Draw the
projections of the cone, when the
apex is nearer to the VP.
Exercise 3 :
34. Exercise 4 :
A regular pentagonal prism of
25mm long edges and axis
70mm long rests on HP on one
of its corner of the base. The
slant edge passing through
corner makes 45 with HP and
the side opposite to the same
corner makes 30 with VP.
Draw its projections.
35. d1
e1
a1
b1
c1
c
e
1 a
2 b
3
d 4
5
c’ d’
11
21
31
41
51
a1’
b1’
c1’ d1’
e1’
42’
12’
22’
2
3 ’ 52’
c2’
b2’ a2’
2
e ’
2
22
32 42
52
=45
2’
1’
3’
5’
4’
e2
1
d2
c2
b2
= 30 a2
d2’
31’
1
4 ’
51’
11’
21’
a’ e’
X b’
Y
36. d1
e1
a1
b1
c1
c
e
1 a
2 b
3
d 4
5
c’ d’
11
21
31
41
51
a1’
b1’
c1’ d1’
e1’
42’
12’
22’
2
3 ’ 52’
c2’
b2’ a2’
2
e ’
12
22
32 42
52
=45
2’
1’
3’
5’
4’
e2
d2
c2
b2
= 30 a2
d2’
31’
1
4 ’
51’
11’
21’
a’ e’
X b’
Y
37. Exercise 5 :
A regular hexagonal prism of
30mm sides and axis 80mm
long is resting on HP on one
of its corners of the base. The
axis makes 30 with HP and
plan of the axis makes 45
with the VP. Draw its
projections.
38. a2
d
b2
2
c2
e2
2
12
22 42
62
32
52
d1’
b1’
1
a ’
1
c ’1
e ’
f1’
21’
1
1 ’
1 41’
3 ’
1
5 ’
1
6 ’
b1 c1
4’
1’
2’6’ 3’5’
d’
b’f’ c’e’
a’
X Y
2 3
6 5
a 1 4 d a1
c
b
f e
d111
21 31
41
51
f1 e1 61
b2’
a2’
c2’ 2’
e
d
2’
f2’
2
1 ’
32’
22’
2
4 ’
2
5 ’
2
6 ’
45f
39. A square pyramid, side of base
50mm and height 64mm, is freely
suspended from one of the
corners of the base. Draw its
projections when vertical plane
containing axis makes an angle of
45 with the VP.
Exercise 6 :
40. A cube of 40 mm edges, is resting
on the H.P. on one of the edges of
the base with face containing that
edge making 30 with the H.P.
The edge on which the cube rests
on the H.P. is making 30 with the
V.P. Draw the projections.
Exercise :