Course detail

Constructive and Computer Geometry

FSI-1KGAcad. year: 2012/2013

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

doc. PaedDr. Dalibor Martišek, Ph.D.

Department

Institute of Mathematics (ÚM)

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.

Prerequisites

The students have to be familiar with the fundamentals of geometry and mathematics
at the secondary school level.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

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).

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.

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

  • Programme B3901-3 Bachelor's

    branch B-MAI , 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

RNDr. Ludmila Chvalinová, CSc.

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.

Exercise

14 hod., compulsory

Teacher / Lecturer

Mgr. Jana Hoderová, Ph.D.
RNDr. Ludmila Chvalinová, CSc.

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.

Computer-assisted exercise

12 hod., compulsory

Teacher / Lecturer

doc. PaedDr. Dalibor Martišek, Ph.D.

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.