Course detail
Constructive and Computer Geometry
FSI-1KGAcad. year: 2014/2015
Principles and basic concepts of three-dimensional descriptive geometry. Perspective transformation. Orthographic projection. Curves and surfaces. Intersection of plane and surface. Piercing points. Torus, quadrics. Helix, helicoid. Ruled surfaces.
Descriptive geometry is supported by a computer.
Language of instruction
Czech
Number of ECTS credits
5
Mode of study
Not applicable.
Guarantor
Department
Learning outcomes of the course unit
Students will acquire the basic knowledge of three-dimensional descriptive geometry
necessary to solve real life situations in various areas of engineering.
necessary to solve real life situations in various areas of engineering.
Prerequisites
The students have to be familiar with the fundamentals of geometry and mathematics
at the secondary school level.
at the secondary school level.
Co-requisites
Not applicable.
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes
Course/unit credit is conditional on the following: Active attendance at seminars,
three graphs and test marked better than F(- failed).
Examination: the exam has a written part - 80 points, verbal part- 10 points.Active partiscipation in seminars is evalued by 10 points.
Grading scheme: excellent (100 - 90 points), very good(89
- 80 points), good (79 - 70 points), satisfactory (69 - 60 points),
sufficient(59 - 50 points), failed (49 - 0 points).
three graphs and test marked better than F(- failed).
Examination: the exam has a written part - 80 points, verbal part- 10 points.Active partiscipation in seminars is evalued by 10 points.
Grading scheme: excellent (100 - 90 points), very good(89
- 80 points), good (79 - 70 points), satisfactory (69 - 60 points),
sufficient(59 - 50 points), failed (49 - 0 points).
Course curriculum
Not applicable.
Work placements
Not applicable.
Aims
The course aims to acquaint the students with the theoretical basics of descriptive
geometry. It will provide them with a computer aided training in basic parts of geometry.
geometry. It will provide them with a computer aided training in basic parts of geometry.
Specification of controlled education, way of implementation and compensation for absences
If a student does not satisfy the given conditions, the teacher can set an alternative condition.
Recommended optional programme components
Not applicable.
Prerequisites and corequisites
Not applicable.
Basic literature
Medek, V., Zámožík, J. Konštruktívna geometria pre technikov, Bratislava: Alfa, 1978.
Recommended reading
Not applicable.
Classification of course in study plans
Type of course unit
Lecture
26 hod., optionally
Teacher / Lecturer
Syllabus
1. Mapping between planes. Demonstration - BORLAND DELPHI.
2. Oblique and orthographic projections. BORLAND DELPHI and DesignCAD.
3. Mongean system of descriptive geometry. DesignCAD.
4. Auxiliary inclined views. BORLAND DELPHI and DesignCAD.
5. Axonometric projection. Solids in the isometric pictorial. Pohlke's theorem. BORLAND DELPHI and DesignCAD.
6. Eckhard's method. BORLAND DELPHI and DesignCAD.
7. Elementary solids and surfaces. BORLAND DELPHI and DesignCAD.
8. Slice and intersection of geometric solids and surfaces. BORLAND DELPHI i DesignCAD.
9. Curves - Bézier, Coons, Ferguson. Kinematic geometry. BORLAND DELPHI and DesignCAD.
10. Helix. BORLAND DELPHI and DesignCAD.
11. Surfaces. Rotation surfaces. BORLAND DELPHI and DesignCAD.
12. Helicoids. BORLAND DELPHI and DesignCAD.
13. Ruled surfaces. Deployable surfaces. Transition surfaces. BORLAND DELPHI and DesignCAD.
2. Oblique and orthographic projections. BORLAND DELPHI and DesignCAD.
3. Mongean system of descriptive geometry. DesignCAD.
4. Auxiliary inclined views. BORLAND DELPHI and DesignCAD.
5. Axonometric projection. Solids in the isometric pictorial. Pohlke's theorem. BORLAND DELPHI and DesignCAD.
6. Eckhard's method. BORLAND DELPHI and DesignCAD.
7. Elementary solids and surfaces. BORLAND DELPHI and DesignCAD.
8. Slice and intersection of geometric solids and surfaces. BORLAND DELPHI i DesignCAD.
9. Curves - Bézier, Coons, Ferguson. Kinematic geometry. BORLAND DELPHI and DesignCAD.
10. Helix. BORLAND DELPHI and DesignCAD.
11. Surfaces. Rotation surfaces. BORLAND DELPHI and DesignCAD.
12. Helicoids. BORLAND DELPHI and DesignCAD.
13. Ruled surfaces. Deployable surfaces. Transition surfaces. BORLAND DELPHI and DesignCAD.
Exercise
14 hod., compulsory
Teacher / Lecturer
Syllabus
1. Conics. 2. Computer: Mapping between circle and ellipse. 3. Mongean system of descriptive geometry. 4. Computer: A line perpendicular to a plane surface, a plane surface perpendicular to a line, true length projection of line AB, distance from a point to a line etc. 5. Projection of a circle, auxiliary inclined views. 6. Computer: Line plane, circle, polygon etc. 7. Basics of an axonometric projection. Isometric pictorial. 8. Computer:
Elementary solids and surfaces. 9. Slice and intersection of geometric solids and surfaces. 10. Computer: Kinematic geometry. 11. Rotation surfaces. 12. Computer: Helix and helicoid. 13. Ruled surfaces. Deployable surfaces.
Elementary solids and surfaces. 9. Slice and intersection of geometric solids and surfaces. 10. Computer: Kinematic geometry. 11. Rotation surfaces. 12. Computer: Helix and helicoid. 13. Ruled surfaces. Deployable surfaces.
Computer-assisted exercise
12 hod., compulsory
Teacher / Lecturer
Syllabus
1. Conics.
2. Computer: DESIGN CAD 2D: Line, Ortholine,Circle, Ellipse etc.
3. Mongean system of descriptive geometry.
4. Computer: DESIGN CAD 2D: Polygon, Plane etc. Mapping between planes. Mapping between
a circle and a ellipse.
5. Mapping of circle.
6. Computer: DESIGN CAD 3D: Line, Plane, Circle, Polygon in 3D. A line perpendicular
to a plane surface, a plane surface perpendicular to a line, true length projection
of line AB, distance from a point to a line etc.
7. Basics of an axonometric projection.
8. Computer: DESIGN CAD 3D: Elementary solids and surfaces - Intersect, Subtract, Slice.
9. Slice and intersection of geometric solids and surfaces.
10. Computer: BORLAND DELPHI: Kinematic geometry,
DESIGN CAD 3D: Helix.
11. Torus, cylinder,cone etc. Helix, projection of helix, helicoids.
12. Computer: DESIGN CAD 3D: Helix, helicoid. Rotation surfaces.
13. Computer: Ruled surfaces. Deployable surfaces.
2. Computer: DESIGN CAD 2D: Line, Ortholine,Circle, Ellipse etc.
3. Mongean system of descriptive geometry.
4. Computer: DESIGN CAD 2D: Polygon, Plane etc. Mapping between planes. Mapping between
a circle and a ellipse.
5. Mapping of circle.
6. Computer: DESIGN CAD 3D: Line, Plane, Circle, Polygon in 3D. A line perpendicular
to a plane surface, a plane surface perpendicular to a line, true length projection
of line AB, distance from a point to a line etc.
7. Basics of an axonometric projection.
8. Computer: DESIGN CAD 3D: Elementary solids and surfaces - Intersect, Subtract, Slice.
9. Slice and intersection of geometric solids and surfaces.
10. Computer: BORLAND DELPHI: Kinematic geometry,
DESIGN CAD 3D: Helix.
11. Torus, cylinder,cone etc. Helix, projection of helix, helicoids.
12. Computer: DESIGN CAD 3D: Helix, helicoid. Rotation surfaces.
13. Computer: Ruled surfaces. Deployable surfaces.