Course Details
Basics of Descriptive Geometry
Academic Year 2022/23
VAC001 course is part of 2 study plans
stud.semestr.null 1st year
BPC-VP Winter Semester 1st year
Euclidean constructions in plane, identical and similarity transforms in plane, construction of ellipse by focus properties, basics of solid geometry, basics of parallel and central projection, perspective affinity, perspective collineation, circle in affinity, coted projection, orthogonal axonometry.
Course Guarantor
Institute
Objective
Students should be able to construct: Euclidean constructions in plane, identical and similarity transforms in plane, ellipse by focus properties, understand the principles of perspective affinity, perspective collineation, using such properties in solving problems, understand and get the basics of projection: coted projection, orthogonal axonometry. They should develop 3D visualization and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.
Knowledge
The students should be able to construct ellipse by focus properties, the principles of perspective affinity, perspective collineation. They will get the basics of projection: coted projection, orthogonal axonometry, basic problems and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.
Syllabus
1. Constructions of basic figures in plane (euclidean constructions in plane, identical and similarity transforms). Extended Euclidean space. Construction of ellipse by focus properties.
2. Central and parallel projection. Perspective affinity, perspective collineation, examples.
3. Circle in affinity. Basic of solid geometry. Simple solids (pyramid, prism, cone, cylinder,sphere). System of basic problems. Coted projection
4. Coted projection.
5. Coted projection. Projection of circle.
6. Coted projection. Constructional problems.
7. Coted projection. Projection of a solid.
8. Orthogonal axonometry. Basic problems.
9. Orthogonal axonometry. Position problems.
10. Seminar evaluation.
Prerequisites
Basic knowledge of planar and 3D geometry as taught at secondary schools and basic skills of work with a ruler and pair of compasses.
Language of instruction
Czech
Credits
2 credits
Semester
winter
Forms and criteria of assessment
course-unit credit
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
1. Constructions of basic figures in plane (euclidean constructions in plane, identical and similarity transforms). Extended Euclidean space. Construction of ellipse by focus properties.
2. Central and parallel projection. Perspective affinity, perspective collineation, examples.
3. Circle in affinity. Basic of solid geometry. Simple solids (pyramid, prism, cone, cylinder,sphere). System of basic problems. Coted projection
4. Coted projection.
5. Coted projection. Projection of circle.
6. Coted projection. Constructional problems.
7. Coted projection. Projection of a solid.
8. Orthogonal axonometry. Basic problems.
9. Orthogonal axonometry. Position problems.
10. Seminar evaluation.