Course Details
Constructive Geometry
Academic Year 2024/25
BA008 course is not part of any programme in the faculty
Perspective collineation and affinity,circle in affinity. Monge`s projection, topographic surfaces, theoretical solution of the roofs, orthogonal axonometry and linear perspective.
Credits
5 credits
Language of instruction
Czech
Semester
Course Guarantor
Institute
Forms and criteria of assessment
Entry Knowledge
Basics of plane and 3D geometry a stereometrie as taught at secondary schools.
Aims
Students should be able to construct conics using their focus properties, understand the principles of perspective colineation and affinity using such properties in solving problems, understand and get the basics of projection: Monge`s projection, orthogonal axonometry, and linear perspective. They should develop 3D visualization and be able to solve simple 3D problems, display simple geometric bodies and surfaces in each type of projection, their section with a plane and intercestions with a straight line. In a linear perspective, they should be able to draw a building. They should learn the basics of the theoretical solution of roofs and topographic surfaces.
Students should be able to construct conics using their focus properties, perspective colineation and affinity. Understand and get the basics of projection: coted, Monge`s projection, orthogonal axonometry, and linear perspective. They should be able to solve simple 3D problems, display the basic geometric bodies and surfaces in each projection, their section. In a linear perspective, they should be able to draw a building. They should be theoretically able to solve the roof and solve the location of the construction object in the terrain, both in coted projection.
Basic Literature
Recommended Reading
Konstruktivní geometrie Černý J., Kočandrlová M ČVUT Praha. 2003 (cs)
Deskriptivní geometrie I Drábek K., Harant F.,Setzer O SNTL Praha, 1978 (cs)
Deskriptivní geometrie I, II PISKA, Rudolf, MEDEK, Václav SNTL, 1976 (cs)
Deskriptivní geometrie I,II VALA, Jiří VUT Brno, 1997 (cs)
Cvičení z deskr.geometrie II,III HOLÁŇ, Štěpán, HOLÁŇOVÁ, Libuše VUT Brno, 1994 (cs)
Descriptive geometry Pare, Loving, Hill: London, 1965 (en)
Sbírka řešených příkladů z konstruktivní geometrie, Autorský kolektiv ÚMDG FaSt VUT v Brně https://mat.fce.vutbr.cz/studium/geometrie/ (cs)
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus