Design and
Communication
Graphics
Worksheets
for teaching and learning
Solids in Contact / Tangent Planes
Worksheets
CORE
PLANE AND
DESCRIPTIVE
GEOMETRY
COMMUNICATION
OF DESIGN &
COMPUTER
GRAPHICS
APPLIED
GRAPHICS
Plane and Descriptive Geometry is enhanced by
Communication of Design & Computer Graphics
Worksheets
“The core of the core”
Plane and Descriptive
Geometry
Remember
our CD!!!
A holistic approach to the teaching of the core is encouraged
Worksheets
Projection Systems
Orthographic Projection
Pictorial Projection
Right Solids in Contact
Projection of Right Solids
Sectional Views
Conic Sections
Tangent Planes
Loci
Inclination of Planes to HP & VP
Worksheets
Syllabus Learning Outcomes:
• Construct views of up to three solids having curved
surfaces and/or plane surfaces in mutual contact
• Construct views of solids given the point of contact
• Determine point of contact for surfaces in mutual contact
• Model various problems involving solids in contact,
planes of reference and auxiliary planes
• Determination of oblique and tangent planes
Worksheets
A generic approach to teaching and learning DCG
Guiding Principles:
• Use of concrete examples
• Work from 3D to 2D
• Link the general to the specific and vice versa
Worksheets
Students must be encouraged to:
• research suitable practical applications
• use a variety of techniques and media
• utilise both formal drawing and freehand sketching
• learn with CAD
• utilise the T4 Descriptive Geometry CD
• identify key principles
• highlight the inter-relationships between topics
Worksheets
“Having established the core areas of a topic it
would be advantageous to utilise worksheets in
order to efficiently progress learning”
Teacher Guidelines
“Students should be continually encouraged to
communicate their ideas through the media of
freehand sketching and CAD throughout the
course and not just for the production of the
student assignment”
Teacher Guidelines
Worksheets
Worksheet Template
Descriptive Geometry
CD could be used here
Worksheets
Worksheets
Terry’s Chocolate Orange is to be presented in a
square pyramid, in which the faces of the box are
to be inclined at 60° to the base.
The drawing over shows the projections of a Terry’s
Chocolate Orange.
(a) Draw the projections of the square pyramid
having the horizontal edge of the face that
contains the opening inclined at 60° to the V.P.
(b) Draw the traces of the plane which passes
through the face containing the opening.
Worksheets
Worksheets
Worksheets
Key Principles:
1. All elements of a right cone make equal angles with the
base of the cone
2. All planes drawn tangential to a right cone make this
same angle with the horizontal plane
3. A 60° right cone having its base resting on the horizontal
plane is drawn. Any plane tangential to this cone makes
a 60° “dihedral angle” with the H.P.
Links:
Projection of right solids, true lengths of lines,
inscribed spheres, oblique planes, inclination
of a plane, dihedral angles, inclination of a
line, bearing of a line.
Worksheets
Worksheets
Terry’s Chocolate Orange is to be presented in a
square pyramid.
The drawing over shows the projections of a Terry’s
Chocolate Orange.
Determine the traces of the plane which shall be
tangential to the sphere at the point P. The point P
is at the front of the sphere.
Worksheets
When a cone envelopes a sphere, a tangent plane to the cone
is also a tangent plane to the sphere
Worksheets
Key Principles:
1. A horizontal section of a sphere appears as a circle in
plan
2. A tangent plane to a sphere is perpendicular to the
radius drawn to the point of tangency
3. Perpendicular lines appear perpendicular in any
projection which shows one of the lines in true length
Links:
Projection of right solids, true lengths of lines,
inscribed spheres, oblique planes, inclination
of a plane, inclination of a line to a plane
Worksheets
Show teachers how to
delete elements from
a worksheet
(Tangent Planes 1)